id	sid	tid	token	lemma	pos
ejpam-5712	1	1	european	european	PROPN
ejpam-5712	1	2	journal	journal	PROPN
ejpam-5712	1	3	of	of	ADP
ejpam-5712	1	4	pure	pure	ADJ
ejpam-5712	1	5	and	and	CCONJ
ejpam-5712	1	6	applied	applied	ADJ
ejpam-5712	1	7	mathematics	mathematic	NOUN
ejpam-5712	1	8	2025	2025	NUM
ejpam-5712	1	9	,	,	PUNCT
ejpam-5712	1	10	vol	vol	NOUN
ejpam-5712	1	11	.	.	PROPN
ejpam-5712	1	12	18	18	NUM
ejpam-5712	1	13	,	,	PUNCT
ejpam-5712	1	14	issue	issue	NOUN
ejpam-5712	1	15	1	1	NUM
ejpam-5712	1	16	,	,	PUNCT
ejpam-5712	1	17	article	article	NOUN
ejpam-5712	1	18	number	number	NOUN
ejpam-5712	1	19	5712	5712	NUM
ejpam-5712	1	20	issn	issn	VERB
ejpam-5712	1	21	1307	1307	NUM
ejpam-5712	1	22	-	-	SYM
ejpam-5712	1	23	5543	5543	NUM
ejpam-5712	1	24	–	–	PUNCT
ejpam-5712	1	25	ejpam.com	ejpam.com	X
ejpam-5712	1	26	published	publish	VERB
ejpam-5712	1	27	by	by	ADP
ejpam-5712	1	28	new	new	PROPN
ejpam-5712	1	29	york	york	PROPN
ejpam-5712	1	30	business	business	PROPN
ejpam-5712	1	31	global	global	ADJ
ejpam-5712	1	32	modeling	modeling	NOUN
ejpam-5712	1	33	of	of	ADP
ejpam-5712	1	34	the	the	DET
ejpam-5712	1	35	euler	euler	NOUN
ejpam-5712	1	36	-	-	PUNCT
ejpam-5712	1	37	poisson	poisson	NOUN
ejpam-5712	1	38	equations	equation	NOUN
ejpam-5712	1	39	for	for	ADP
ejpam-5712	1	40	rigid	rigid	ADJ
ejpam-5712	1	41	bodies	body	NOUN
ejpam-5712	1	42	in	in	ADP
ejpam-5712	1	43	the	the	DET
ejpam-5712	1	44	context	context	NOUN
ejpam-5712	1	45	of	of	ADP
ejpam-5712	1	46	the	the	DET
ejpam-5712	1	47	gyrostatic	gyrostatic	ADJ
ejpam-5712	1	48	influences	influence	NOUN
ejpam-5712	1	49	:	:	PUNCT
ejpam-5712	1	50	an	an	DET
ejpam-5712	1	51	innovative	innovative	ADJ
ejpam-5712	1	52	methodology	methodology	NOUN
ejpam-5712	1	53	t.	t.	PROPN
ejpam-5712	1	54	s.	s.	PROPN
ejpam-5712	1	55	amer1,∗	amer1,∗	PROPN
ejpam-5712	1	56	,	,	PUNCT
ejpam-5712	1	57	w.	w.	PROPN
ejpam-5712	1	58	s.	s.	PROPN
ejpam-5712	1	59	amer2	amer2	PROPN
ejpam-5712	1	60	,	,	PUNCT
ejpam-5712	1	61	m.	m.	PROPN
ejpam-5712	1	62	fakharany1,3	fakharany1,3	PROPN
ejpam-5712	1	63	,	,	PUNCT
ejpam-5712	1	64	a.	a.	PROPN
ejpam-5712	1	65	h.	h.	PROPN
ejpam-5712	1	66	elneklawy4	elneklawy4	PROPN
ejpam-5712	1	67	,	,	PUNCT
ejpam-5712	1	68	h.	h.	PROPN
ejpam-5712	1	69	f.	f.	PROPN
ejpam-5712	1	70	el	el	PROPN
ejpam-5712	1	71	-	-	PROPN
ejpam-5712	1	72	kafly5	kafly5	NOUN
ejpam-5712	1	73	1	1	NUM
ejpam-5712	1	74	department	department	NOUN
ejpam-5712	1	75	of	of	ADP
ejpam-5712	1	76	mathematics	mathematic	NOUN
ejpam-5712	1	77	,	,	PUNCT
ejpam-5712	1	78	faculty	faculty	NOUN
ejpam-5712	1	79	of	of	ADP
ejpam-5712	1	80	science	science	NOUN
ejpam-5712	1	81	,	,	PUNCT
ejpam-5712	1	82	tanta	tanta	PROPN
ejpam-5712	1	83	university	university	PROPN
ejpam-5712	1	84	,	,	PUNCT
ejpam-5712	1	85	tanta	tanta	PROPN
ejpam-5712	1	86	31527	31527	NUM
ejpam-5712	1	87	,	,	PUNCT
ejpam-5712	1	88	egypt	egypt	PROPN
ejpam-5712	1	89	2	2	NUM
ejpam-5712	1	90	department	department	NOUN
ejpam-5712	1	91	of	of	ADP
ejpam-5712	1	92	mathematics	mathematic	NOUN
ejpam-5712	1	93	and	and	CCONJ
ejpam-5712	1	94	computer	computer	NOUN
ejpam-5712	1	95	science	science	NOUN
ejpam-5712	1	96	,	,	PUNCT
ejpam-5712	1	97	faculty	faculty	NOUN
ejpam-5712	1	98	of	of	ADP
ejpam-5712	1	99	science	science	NOUN
ejpam-5712	1	100	,	,	PUNCT
ejpam-5712	1	101	menoufia	menoufia	PROPN
ejpam-5712	1	102	university	university	PROPN
ejpam-5712	1	103	,	,	PUNCT
ejpam-5712	1	104	32511	32511	NUM
ejpam-5712	1	105	,	,	PUNCT
ejpam-5712	1	106	egypt	egypt	PROPN
ejpam-5712	1	107	3	3	NUM
ejpam-5712	1	108	mathematics	mathematic	NOUN
ejpam-5712	1	109	and	and	CCONJ
ejpam-5712	1	110	statistics	statistics	PROPN
ejpam-5712	1	111	department	department	PROPN
ejpam-5712	1	112	,	,	PUNCT
ejpam-5712	1	113	college	college	NOUN
ejpam-5712	1	114	of	of	ADP
ejpam-5712	1	115	science	science	PROPN
ejpam-5712	1	116	,	,	PUNCT
ejpam-5712	1	117	taibah	taibah	PROPN
ejpam-5712	1	118	university	university	PROPN
ejpam-5712	1	119	,	,	PUNCT
ejpam-5712	1	120	yanbu	yanbu	PROPN
ejpam-5712	1	121	,	,	PUNCT
ejpam-5712	1	122	saudi	saudi	PROPN
ejpam-5712	1	123	arabia	arabia	PROPN
ejpam-5712	1	124	4	4	NUM
ejpam-5712	1	125	department	department	NOUN
ejpam-5712	1	126	of	of	ADP
ejpam-5712	1	127	mathematics	mathematic	NOUN
ejpam-5712	1	128	,	,	PUNCT
ejpam-5712	1	129	faculty	faculty	NOUN
ejpam-5712	1	130	of	of	ADP
ejpam-5712	1	131	science	science	NOUN
ejpam-5712	1	132	,	,	PUNCT
ejpam-5712	1	133	kafrelsheikh	kafrelsheikh	PROPN
ejpam-5712	1	134	university	university	PROPN
ejpam-5712	1	135	,	,	PUNCT
ejpam-5712	1	136	kafr	kafr	PROPN
ejpam-5712	1	137	el	el	PROPN
ejpam-5712	1	138	-	-	PUNCT
ejpam-5712	1	139	sheikh	sheikh	PROPN
ejpam-5712	1	140	33516	33516	NUM
ejpam-5712	1	141	,	,	PUNCT
ejpam-5712	1	142	egypt	egypt	PROPN
ejpam-5712	1	143	5	5	NUM
ejpam-5712	1	144	tanta	tanta	PROPN
ejpam-5712	1	145	higher	high	ADJ
ejpam-5712	1	146	institute	institute	PROPN
ejpam-5712	1	147	of	of	ADP
ejpam-5712	1	148	engineering	engineering	NOUN
ejpam-5712	1	149	and	and	CCONJ
ejpam-5712	1	150	technology	technology	NOUN
ejpam-5712	1	151	,	,	PUNCT
ejpam-5712	1	152	tanta	tanta	PROPN
ejpam-5712	1	153	,	,	PUNCT
ejpam-5712	1	154	egypt	egypt	PROPN
ejpam-5712	1	155	abstract	abstract	PROPN
ejpam-5712	1	156	.	.	PUNCT
ejpam-5712	2	1	this	this	DET
ejpam-5712	2	2	paper	paper	NOUN
ejpam-5712	2	3	presents	present	VERB
ejpam-5712	2	4	an	an	DET
ejpam-5712	2	5	alternative	alternative	ADJ
ejpam-5712	2	6	approach	approach	NOUN
ejpam-5712	2	7	to	to	ADP
ejpam-5712	2	8	solving	solve	VERB
ejpam-5712	2	9	euler	euler	NOUN
ejpam-5712	2	10	-	-	PUNCT
ejpam-5712	2	11	poisson	poisson	NOUN
ejpam-5712	2	12	’s	’s	PART
ejpam-5712	2	13	dynamical	dynamical	ADJ
ejpam-5712	2	14	equations	equation	NOUN
ejpam-5712	2	15	,	,	PUNCT
ejpam-5712	2	16	which	which	PRON
ejpam-5712	2	17	describe	describe	VERB
ejpam-5712	2	18	the	the	DET
ejpam-5712	2	19	governing	govern	VERB
ejpam-5712	2	20	equations	equation	NOUN
ejpam-5712	2	21	of	of	ADP
ejpam-5712	2	22	how	how	SCONJ
ejpam-5712	2	23	a	a	DET
ejpam-5712	2	24	rigid	rigid	ADJ
ejpam-5712	2	25	body	body	NOUN
ejpam-5712	2	26	(	(	PUNCT
ejpam-5712	2	27	rgb	rgb	PROPN
ejpam-5712	2	28	)	)	PUNCT
ejpam-5712	2	29	rotates	rotate	VERB
ejpam-5712	2	30	around	around	ADP
ejpam-5712	2	31	a	a	DET
ejpam-5712	2	32	stationary	stationary	ADJ
ejpam-5712	2	33	point	point	NOUN
ejpam-5712	2	34	with	with	ADP
ejpam-5712	2	35	the	the	DET
ejpam-5712	2	36	influence	influence	NOUN
ejpam-5712	2	37	of	of	ADP
ejpam-5712	2	38	a	a	DET
ejpam-5712	2	39	gyrostatic	gyrostatic	ADJ
ejpam-5712	2	40	moment	moment	NOUN
ejpam-5712	2	41	(	(	PUNCT
ejpam-5712	2	42	gm	gm	PROPN
ejpam-5712	2	43	)	)	PUNCT
ejpam-5712	2	44	.	.	PUNCT
ejpam-5712	3	1	the	the	DET
ejpam-5712	3	2	rgb	rgb	PROPN
ejpam-5712	3	3	’s	’s	PART
ejpam-5712	3	4	angular	angular	ADJ
ejpam-5712	3	5	velocity	velocity	NOUN
ejpam-5712	3	6	vector	vector	NOUN
ejpam-5712	3	7	components	component	NOUN
ejpam-5712	3	8	in	in	ADP
ejpam-5712	3	9	our	our	PRON
ejpam-5712	3	10	solution	solution	NOUN
ejpam-5712	3	11	are	be	AUX
ejpam-5712	3	12	different	different	ADJ
ejpam-5712	3	13	from	from	ADP
ejpam-5712	3	14	those	those	PRON
ejpam-5712	3	15	in	in	ADP
ejpam-5712	3	16	the	the	DET
ejpam-5712	3	17	well	well	ADV
ejpam-5712	3	18	-	-	PUNCT
ejpam-5712	3	19	known	know	VERB
ejpam-5712	3	20	cases	case	NOUN
ejpam-5712	3	21	.	.	PUNCT
ejpam-5712	4	1	it	it	PRON
ejpam-5712	4	2	is	be	AUX
ejpam-5712	4	3	expected	expect	VERB
ejpam-5712	4	4	that	that	SCONJ
ejpam-5712	4	5	the	the	DET
ejpam-5712	4	6	rgb	rgb	PROPN
ejpam-5712	4	7	’s	’s	PART
ejpam-5712	4	8	center	center	NOUN
ejpam-5712	4	9	of	of	ADP
ejpam-5712	4	10	mass	mass	NOUN
ejpam-5712	4	11	lies	lie	VERB
ejpam-5712	4	12	in	in	ADP
ejpam-5712	4	13	the	the	DET
ejpam-5712	4	14	meridional	meridional	ADJ
ejpam-5712	4	15	plane	plane	NOUN
ejpam-5712	4	16	along	along	ADP
ejpam-5712	4	17	its	its	PRON
ejpam-5712	4	18	principal	principal	ADJ
ejpam-5712	4	19	axis	axis	NOUN
ejpam-5712	4	20	of	of	ADP
ejpam-5712	4	21	inertia	inertia	NOUN
ejpam-5712	4	22	.	.	PUNCT
ejpam-5712	5	1	additionally	additionally	ADV
ejpam-5712	5	2	,	,	PUNCT
ejpam-5712	5	3	it	it	PRON
ejpam-5712	5	4	is	be	AUX
ejpam-5712	5	5	assumed	assume	VERB
ejpam-5712	5	6	that	that	SCONJ
ejpam-5712	5	7	the	the	DET
ejpam-5712	5	8	main	main	ADJ
ejpam-5712	5	9	inertia	inertia	NOUN
ejpam-5712	5	10	moments	moment	NOUN
ejpam-5712	5	11	correspond	correspond	VERB
ejpam-5712	5	12	to	to	ADP
ejpam-5712	5	13	a	a	DET
ejpam-5712	5	14	fundamental	fundamental	ADJ
ejpam-5712	5	15	algebraic	algebraic	ADJ
ejpam-5712	5	16	equality	equality	NOUN
ejpam-5712	5	17	.	.	PUNCT
ejpam-5712	6	1	additionally	additionally	ADV
ejpam-5712	6	2	,	,	PUNCT
ejpam-5712	6	3	there	there	PRON
ejpam-5712	6	4	is	be	VERB
ejpam-5712	6	5	a	a	DET
ejpam-5712	6	6	constraint	constraint	NOUN
ejpam-5712	6	7	on	on	ADP
ejpam-5712	6	8	the	the	DET
ejpam-5712	6	9	first	first	ADJ
ejpam-5712	6	10	condition	condition	NOUN
ejpam-5712	6	11	selection	selection	NOUN
ejpam-5712	6	12	.	.	PUNCT
ejpam-5712	7	1	the	the	DET
ejpam-5712	7	2	analytical	analytical	ADJ
ejpam-5712	7	3	solution	solution	NOUN
ejpam-5712	7	4	of	of	ADP
ejpam-5712	7	5	the	the	DET
ejpam-5712	7	6	problem	problem	NOUN
ejpam-5712	7	7	is	be	AUX
ejpam-5712	7	8	provided	provide	VERB
ejpam-5712	7	9	and	and	CCONJ
ejpam-5712	7	10	depicted	depict	VERB
ejpam-5712	7	11	graphically	graphically	ADV
ejpam-5712	7	12	using	use	VERB
ejpam-5712	7	13	computer	computer	NOUN
ejpam-5712	7	14	codes	code	NOUN
ejpam-5712	7	15	,	,	PUNCT
ejpam-5712	7	16	allowing	allow	VERB
ejpam-5712	7	17	us	we	PRON
ejpam-5712	7	18	to	to	PART
ejpam-5712	7	19	analyze	analyze	VERB
ejpam-5712	7	20	the	the	DET
ejpam-5712	7	21	motion	motion	NOUN
ejpam-5712	7	22	at	at	ADP
ejpam-5712	7	23	any	any	DET
ejpam-5712	7	24	given	give	VERB
ejpam-5712	7	25	time	time	NOUN
ejpam-5712	7	26	.	.	PUNCT
ejpam-5712	8	1	the	the	DET
ejpam-5712	8	2	influence	influence	NOUN
ejpam-5712	8	3	of	of	ADP
ejpam-5712	8	4	distinct	distinct	ADJ
ejpam-5712	8	5	values	value	NOUN
ejpam-5712	8	6	of	of	ADP
ejpam-5712	8	7	the	the	DET
ejpam-5712	8	8	gm	gm	PROPN
ejpam-5712	8	9	on	on	ADP
ejpam-5712	8	10	these	these	DET
ejpam-5712	8	11	solutions	solution	NOUN
ejpam-5712	8	12	are	be	AUX
ejpam-5712	8	13	also	also	ADV
ejpam-5712	8	14	presented	present	VERB
ejpam-5712	8	15	.	.	PUNCT
ejpam-5712	9	1	one	one	PRON
ejpam-5712	9	2	could	could	AUX
ejpam-5712	9	3	consider	consider	VERB
ejpam-5712	9	4	the	the	DET
ejpam-5712	9	5	solution	solution	NOUN
ejpam-5712	9	6	to	to	PART
ejpam-5712	9	7	be	be	AUX
ejpam-5712	9	8	an	an	DET
ejpam-5712	9	9	entirely	entirely	ADV
ejpam-5712	9	10	novel	novel	ADJ
ejpam-5712	9	11	iteration	iteration	NOUN
ejpam-5712	9	12	of	of	ADP
ejpam-5712	9	13	euler	euler	PROPN
ejpam-5712	9	14	’s	’s	PART
ejpam-5712	9	15	original	original	ADJ
ejpam-5712	9	16	case	case	NOUN
ejpam-5712	9	17	.	.	PUNCT
ejpam-5712	10	1	solving	solve	VERB
ejpam-5712	10	2	this	this	DET
ejpam-5712	10	3	equation	equation	NOUN
ejpam-5712	10	4	is	be	AUX
ejpam-5712	10	5	crucial	crucial	ADJ
ejpam-5712	10	6	due	due	ADP
ejpam-5712	10	7	to	to	ADP
ejpam-5712	10	8	its	its	PRON
ejpam-5712	10	9	broad	broad	ADJ
ejpam-5712	10	10	range	range	NOUN
ejpam-5712	10	11	of	of	ADP
ejpam-5712	10	12	applications	application	NOUN
ejpam-5712	10	13	,	,	PUNCT
ejpam-5712	10	14	including	include	VERB
ejpam-5712	10	15	the	the	DET
ejpam-5712	10	16	design	design	NOUN
ejpam-5712	10	17	and	and	CCONJ
ejpam-5712	10	18	development	development	NOUN
ejpam-5712	10	19	of	of	ADP
ejpam-5712	10	20	stability	stability	NOUN
ejpam-5712	10	21	enhancement	enhancement	NOUN
ejpam-5712	10	22	systems	system	NOUN
ejpam-5712	10	23	in	in	ADP
ejpam-5712	10	24	automobiles	automobile	NOUN
ejpam-5712	10	25	,	,	PUNCT
ejpam-5712	10	26	dynamics	dynamic	NOUN
ejpam-5712	10	27	-	-	PUNCT
ejpam-5712	10	28	based	base	VERB
ejpam-5712	10	29	sensors	sensor	NOUN
ejpam-5712	10	30	like	like	ADP
ejpam-5712	10	31	gyroscopic	gyroscopic	NOUN
ejpam-5712	10	32	sensors	sensor	NOUN
ejpam-5712	10	33	,	,	PUNCT
ejpam-5712	10	34	the	the	DET
ejpam-5712	10	35	analysis	analysis	NOUN
ejpam-5712	10	36	of	of	ADP
ejpam-5712	10	37	space	space	NOUN
ejpam-5712	10	38	objects	object	NOUN
ejpam-5712	10	39	and	and	CCONJ
ejpam-5712	10	40	robotic	robotic	ADJ
ejpam-5712	10	41	systems	system	NOUN
ejpam-5712	10	42	,	,	PUNCT
ejpam-5712	10	43	and	and	CCONJ
ejpam-5712	10	44	gaining	gain	VERB
ejpam-5712	10	45	insight	insight	NOUN
ejpam-5712	10	46	into	into	ADP
ejpam-5712	10	47	the	the	DET
ejpam-5712	10	48	complex	complex	ADJ
ejpam-5712	10	49	movements	movement	NOUN
ejpam-5712	10	50	of	of	ADP
ejpam-5712	10	51	rgbs	rgbs	NOUN
ejpam-5712	10	52	.	.	PUNCT
ejpam-5712	11	1	2020	2020	NUM
ejpam-5712	11	2	mathematics	mathematic	NOUN
ejpam-5712	11	3	subject	subject	NOUN
ejpam-5712	11	4	classifications	classification	NOUN
ejpam-5712	11	5	:	:	PUNCT
ejpam-5712	11	6	70e17	70e17	NUM
ejpam-5712	11	7	,	,	PUNCT
ejpam-5712	11	8	70f07	70f07	NUM
ejpam-5712	11	9	,	,	PUNCT
ejpam-5712	11	10	70h45	70h45	NUM
ejpam-5712	11	11	,	,	PUNCT
ejpam-5712	11	12	65l05	65l05	NUM
ejpam-5712	11	13	key	key	ADJ
ejpam-5712	11	14	words	word	NOUN
ejpam-5712	11	15	and	and	CCONJ
ejpam-5712	11	16	phrases	phrase	NOUN
ejpam-5712	11	17	:	:	PUNCT
ejpam-5712	11	18	nonlinear	nonlinear	ADJ
ejpam-5712	11	19	dynamics	dynamic	NOUN
ejpam-5712	11	20	,	,	PUNCT
ejpam-5712	11	21	rigid	rigid	ADJ
ejpam-5712	11	22	body	body	NOUN
ejpam-5712	11	23	,	,	PUNCT
ejpam-5712	11	24	euler	euler	NOUN
ejpam-5712	11	25	-	-	PUNCT
ejpam-5712	11	26	poisson	poisson	NOUN
ejpam-5712	11	27	’s	’s	PART
ejpam-5712	11	28	equations	equation	NOUN
ejpam-5712	11	29	,	,	PUNCT
ejpam-5712	11	30	gyrostatic	gyrostatic	ADJ
ejpam-5712	11	31	moment	moment	NOUN
ejpam-5712	11	32	,	,	PUNCT
ejpam-5712	11	33	exact	exact	ADJ
ejpam-5712	11	34	solution	solution	NOUN
ejpam-5712	11	35	∗corresponding	∗corresponde	VERB
ejpam-5712	11	36	author	author	NOUN
ejpam-5712	11	37	.	.	PUNCT
ejpam-5712	12	1	doi	doi	NOUN
ejpam-5712	12	2	:	:	PUNCT
ejpam-5712	12	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5712	https://doi.org/10.29020/nybg.ejpam.v18i1.5712	VERB
ejpam-5712	12	4	email	email	NOUN
ejpam-5712	12	5	addresses	address	NOUN
ejpam-5712	12	6	:	:	PUNCT
ejpam-5712	12	7	tarek.saleh@science.tanta.edu.eg	tarek.saleh@science.tanta.edu.eg	X
ejpam-5712	12	8	(	(	PUNCT
ejpam-5712	12	9	t.	t.	PROPN
ejpam-5712	12	10	s.	s.	PROPN
ejpam-5712	12	11	amer	amer	PROPN
ejpam-5712	12	12	)	)	PUNCT
ejpam-5712	12	13	,	,	PUNCT
ejpam-5712	12	14	drwaelamer@science.menofia.edu.eg	drwaelamer@science.menofia.edu.eg	ADJ
ejpam-5712	12	15	(	(	PUNCT
ejpam-5712	12	16	w.	w.	PROPN
ejpam-5712	12	17	s.	s.	PROPN
ejpam-5712	12	18	amer	amer	PROPN
ejpam-5712	12	19	)	)	PUNCT
ejpam-5712	12	20	,	,	PUNCT
ejpam-5712	12	21	mohamed.elfakharany@science.tanta.edu.eg	mohamed.elfakharany@science.tanta.edu.eg	NUM
ejpam-5712	12	22	and	and	CCONJ
ejpam-5712	12	23	fakharany@aucegypt.edu	fakharany@aucegypt.edu	PROPN
ejpam-5712	12	24	(	(	PUNCT
ejpam-5712	12	25	m.	m.	NOUN
ejpam-5712	12	26	fakharany	fakharany	NOUN
ejpam-5712	12	27	)	)	PUNCT
ejpam-5712	12	28	,	,	PUNCT
ejpam-5712	12	29	ahmed	ahme	VERB
ejpam-5712	12	30	hassan@sci.kfs.edu.eg	hassan@sci.kfs.edu.eg	X
ejpam-5712	12	31	(	(	PUNCT
ejpam-5712	12	32	a.	a.	PROPN
ejpam-5712	12	33	h.	h.	PROPN
ejpam-5712	12	34	elneklawy	elneklawy	PROPN
ejpam-5712	12	35	)	)	PUNCT
ejpam-5712	12	36	,	,	PUNCT
ejpam-5712	12	37	heba	heba	PROPN
ejpam-5712	12	38	elkafly@yahoo.com	elkafly@yahoo.com	PROPN
ejpam-5712	13	1	(	(	PUNCT
ejpam-5712	13	2	h.	h.	PROPN
ejpam-5712	13	3	f.	f.	PROPN
ejpam-5712	13	4	el	el	PROPN
ejpam-5712	13	5	-	-	PUNCT
ejpam-5712	13	6	kafly	kafly	NOUN
ejpam-5712	13	7	)	)	PUNCT
ejpam-5712	13	8	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5712	14	1	1	1	NUM
ejpam-5712	14	2	copyright	copyright	NOUN
ejpam-5712	14	3	:	:	PUNCT
ejpam-5712	14	4	©	©	PROPN
ejpam-5712	14	5	2025	2025	NUM
ejpam-5712	14	6	the	the	DET
ejpam-5712	14	7	author(s	author(s	NOUN
ejpam-5712	14	8	)	)	PUNCT
ejpam-5712	14	9	.	.	PUNCT
ejpam-5712	15	1	(	(	PUNCT
ejpam-5712	15	2	cc	cc	NOUN
ejpam-5712	15	3	by	by	ADP
ejpam-5712	15	4	-	-	PUNCT
ejpam-5712	15	5	nc	nc	PROPN
ejpam-5712	15	6	4.0	4.0	NUM
ejpam-5712	15	7	)	)	PUNCT
ejpam-5712	15	8	t.	t.	PROPN
ejpam-5712	15	9	s.	s.	PROPN
ejpam-5712	15	10	amer	amer	PROPN
ejpam-5712	15	11	et	et	PROPN
ejpam-5712	15	12	al	al	PROPN
ejpam-5712	15	13	.	.	PUNCT
ejpam-5712	15	14	/	/	SYM
ejpam-5712	15	15	eur	eur	PROPN
ejpam-5712	15	16	.	.	PUNCT
ejpam-5712	16	1	j.	j.	PROPN
ejpam-5712	16	2	pure	pure	PROPN
ejpam-5712	16	3	appl	appl	PROPN
ejpam-5712	16	4	.	.	PROPN
ejpam-5712	16	5	math	math	PROPN
ejpam-5712	16	6	,	,	PUNCT
ejpam-5712	16	7	18	18	NUM
ejpam-5712	16	8	(	(	PUNCT
ejpam-5712	16	9	1	1	NUM
ejpam-5712	16	10	)	)	PUNCT
ejpam-5712	16	11	(	(	PUNCT
ejpam-5712	16	12	2025	2025	NUM
ejpam-5712	16	13	)	)	PUNCT
ejpam-5712	16	14	,	,	PUNCT
ejpam-5712	16	15	5712	5712	NUM
ejpam-5712	16	16	2	2	NUM
ejpam-5712	16	17	of	of	ADP
ejpam-5712	16	18	14	14	NUM
ejpam-5712	16	19	1	1	NUM
ejpam-5712	16	20	.	.	PUNCT
ejpam-5712	17	1	introduction	introduction	NOUN
ejpam-5712	17	2	the	the	DET
ejpam-5712	17	3	phenomenon	phenomenon	NOUN
ejpam-5712	17	4	of	of	ADP
ejpam-5712	17	5	the	the	DET
ejpam-5712	17	6	rgb	rgb	PROPN
ejpam-5712	17	7	’s	’s	PART
ejpam-5712	17	8	rotational	rotational	ADJ
ejpam-5712	17	9	movement	movement	NOUN
ejpam-5712	17	10	around	around	ADP
ejpam-5712	17	11	a	a	DET
ejpam-5712	17	12	stationary	stationary	ADJ
ejpam-5712	17	13	point	point	NOUN
ejpam-5712	17	14	stands	stand	VERB
ejpam-5712	17	15	as	as	ADP
ejpam-5712	17	16	a	a	DET
ejpam-5712	17	17	significant	significant	ADJ
ejpam-5712	17	18	inquiry	inquiry	NOUN
ejpam-5712	17	19	within	within	ADP
ejpam-5712	17	20	theoretical	theoretical	ADJ
ejpam-5712	17	21	mechanics	mechanic	NOUN
ejpam-5712	17	22	.	.	PUNCT
ejpam-5712	18	1	this	this	DET
ejpam-5712	18	2	particular	particular	ADJ
ejpam-5712	18	3	problem	problem	NOUN
ejpam-5712	18	4	has	have	AUX
ejpam-5712	18	5	garnered	garner	VERB
ejpam-5712	18	6	the	the	DET
ejpam-5712	18	7	attention	attention	NOUN
ejpam-5712	18	8	of	of	ADP
ejpam-5712	18	9	numerous	numerous	ADJ
ejpam-5712	18	10	researchers	researcher	NOUN
ejpam-5712	18	11	over	over	ADP
ejpam-5712	18	12	the	the	DET
ejpam-5712	18	13	past	past	ADJ
ejpam-5712	18	14	fifty	fifty	NUM
ejpam-5712	18	15	years	year	NOUN
ejpam-5712	18	16	,	,	PUNCT
ejpam-5712	18	17	as	as	SCONJ
ejpam-5712	18	18	evidenced	evidence	VERB
ejpam-5712	18	19	by	by	ADP
ejpam-5712	18	20	various	various	ADJ
ejpam-5712	18	21	studies	study	NOUN
ejpam-5712	18	22	[	[	X
ejpam-5712	18	23	1–7	1–7	NUM
ejpam-5712	18	24	,	,	PUNCT
ejpam-5712	18	25	9–13	9–13	NOUN
ejpam-5712	18	26	,	,	PUNCT
ejpam-5712	18	27	17	17	NUM
ejpam-5712	18	28	,	,	PUNCT
ejpam-5712	18	29	19–25	19–25	NUM
ejpam-5712	18	30	,	,	PUNCT
ejpam-5712	18	31	27–34	27–34	NUM
ejpam-5712	18	32	]	]	PUNCT
ejpam-5712	18	33	.	.	PUNCT
ejpam-5712	19	1	the	the	DET
ejpam-5712	19	2	research	research	NOUN
ejpam-5712	19	3	topic	topic	NOUN
ejpam-5712	19	4	holds	hold	VERB
ejpam-5712	19	5	immense	immense	ADJ
ejpam-5712	19	6	significance	significance	NOUN
ejpam-5712	19	7	owing	owe	VERB
ejpam-5712	19	8	to	to	ADP
ejpam-5712	19	9	its	its	PRON
ejpam-5712	19	10	extensive	extensive	ADJ
ejpam-5712	19	11	range	range	NOUN
ejpam-5712	19	12	of	of	ADP
ejpam-5712	19	13	applications	application	NOUN
ejpam-5712	19	14	in	in	ADP
ejpam-5712	19	15	the	the	DET
ejpam-5712	19	16	field	field	NOUN
ejpam-5712	19	17	of	of	ADP
ejpam-5712	19	18	mechanics	mechanic	NOUN
ejpam-5712	19	19	.	.	PUNCT
ejpam-5712	20	1	in	in	ADP
ejpam-5712	20	2	order	order	NOUN
ejpam-5712	20	3	to	to	PART
ejpam-5712	20	4	address	address	VERB
ejpam-5712	20	5	these	these	DET
ejpam-5712	20	6	challenges	challenge	NOUN
ejpam-5712	20	7	,	,	PUNCT
ejpam-5712	20	8	intricate	intricate	ADJ
ejpam-5712	20	9	techniques	technique	NOUN
ejpam-5712	20	10	need	need	VERB
ejpam-5712	20	11	to	to	PART
ejpam-5712	20	12	be	be	AUX
ejpam-5712	20	13	employed	employ	VERB
ejpam-5712	20	14	as	as	SCONJ
ejpam-5712	20	15	they	they	PRON
ejpam-5712	20	16	are	be	AUX
ejpam-5712	20	17	controlled	control	VERB
ejpam-5712	20	18	by	by	ADP
ejpam-5712	20	19	a	a	DET
ejpam-5712	20	20	system	system	NOUN
ejpam-5712	20	21	that	that	PRON
ejpam-5712	20	22	comprises	comprise	VERB
ejpam-5712	20	23	six	six	NUM
ejpam-5712	20	24	non	non	ADJ
ejpam-5712	20	25	-	-	ADJ
ejpam-5712	20	26	linear	linear	ADJ
ejpam-5712	20	27	differential	differential	ADJ
ejpam-5712	20	28	equations	equation	NOUN
ejpam-5712	20	29	(	(	PUNCT
ejpam-5712	20	30	des	des	PROPN
ejpam-5712	20	31	)	)	PUNCT
ejpam-5712	20	32	,	,	PUNCT
ejpam-5712	20	33	in	in	ADP
ejpam-5712	20	34	addition	addition	NOUN
ejpam-5712	20	35	to	to	ADP
ejpam-5712	20	36	three	three	NUM
ejpam-5712	20	37	first	first	ADJ
ejpam-5712	20	38	integrals	integral	NOUN
ejpam-5712	20	39	[	[	X
ejpam-5712	20	40	13	13	NUM
ejpam-5712	20	41	,	,	PUNCT
ejpam-5712	20	42	28	28	NUM
ejpam-5712	20	43	,	,	PUNCT
ejpam-5712	20	44	34	34	NUM
ejpam-5712	20	45	]	]	PUNCT
ejpam-5712	20	46	.	.	PUNCT
ejpam-5712	21	1	in	in	ADP
ejpam-5712	21	2	[	[	X
ejpam-5712	21	3	30	30	NUM
ejpam-5712	21	4	]	]	PUNCT
ejpam-5712	21	5	,	,	PUNCT
ejpam-5712	21	6	the	the	DET
ejpam-5712	21	7	authors	author	NOUN
ejpam-5712	21	8	explore	explore	VERB
ejpam-5712	21	9	the	the	DET
ejpam-5712	21	10	solution	solution	NOUN
ejpam-5712	21	11	for	for	ADP
ejpam-5712	21	12	disturbed	disturbed	ADJ
ejpam-5712	21	13	rotational	rotational	ADJ
ejpam-5712	21	14	movements	movement	NOUN
ejpam-5712	21	15	of	of	ADP
ejpam-5712	21	16	the	the	DET
ejpam-5712	21	17	rgb	rgb	PROPN
ejpam-5712	21	18	,	,	PUNCT
ejpam-5712	21	19	reminiscent	reminiscent	ADJ
ejpam-5712	21	20	of	of	ADP
ejpam-5712	21	21	the	the	DET
ejpam-5712	21	22	conventional	conventional	ADJ
ejpam-5712	21	23	precession	precession	NOUN
ejpam-5712	21	24	observed	observe	VERB
ejpam-5712	21	25	in	in	ADP
ejpam-5712	21	26	lagrange	lagrange	PROPN
ejpam-5712	21	27	’s	’s	PART
ejpam-5712	21	28	scenario	scenario	NOUN
ejpam-5712	21	29	.	.	PUNCT
ejpam-5712	22	1	this	this	DET
ejpam-5712	22	2	particular	particular	ADJ
ejpam-5712	22	3	investigation	investigation	NOUN
ejpam-5712	22	4	focuses	focus	VERB
ejpam-5712	22	5	on	on	ADP
ejpam-5712	22	6	cases	case	NOUN
ejpam-5712	22	7	where	where	SCONJ
ejpam-5712	22	8	the	the	DET
ejpam-5712	22	9	restoring	restore	VERB
ejpam-5712	22	10	torque	torque	NOUN
ejpam-5712	22	11	relies	rely	VERB
ejpam-5712	22	12	on	on	ADP
ejpam-5712	22	13	the	the	DET
ejpam-5712	22	14	angle	angle	NOUN
ejpam-5712	22	15	of	of	ADP
ejpam-5712	22	16	nutation	nutation	NOUN
ejpam-5712	22	17	.	.	PUNCT
ejpam-5712	23	1	the	the	DET
ejpam-5712	23	2	authors	author	NOUN
ejpam-5712	23	3	employ	employ	VERB
ejpam-5712	23	4	both	both	CCONJ
ejpam-5712	23	5	the	the	DET
ejpam-5712	23	6	small	small	ADJ
ejpam-5712	23	7	parameter	parameter	NOUN
ejpam-5712	23	8	and	and	CCONJ
ejpam-5712	23	9	averaging	average	VERB
ejpam-5712	23	10	techniques	technique	NOUN
ejpam-5712	23	11	to	to	PART
ejpam-5712	23	12	deduce	deduce	VERB
ejpam-5712	23	13	averaged	average	VERB
ejpam-5712	23	14	equations	equation	NOUN
ejpam-5712	23	15	of	of	ADP
ejpam-5712	23	16	motion	motion	NOUN
ejpam-5712	23	17	(	(	PUNCT
ejpam-5712	23	18	eom	eom	PROPN
ejpam-5712	23	19	)	)	PUNCT
ejpam-5712	23	20	.	.	PUNCT
ejpam-5712	24	1	in	in	ADP
ejpam-5712	24	2	[	[	X
ejpam-5712	24	3	29	29	NUM
ejpam-5712	24	4	]	]	PUNCT
ejpam-5712	24	5	,	,	PUNCT
ejpam-5712	24	6	a	a	DET
ejpam-5712	24	7	similar	similar	ADJ
ejpam-5712	24	8	approach	approach	NOUN
ejpam-5712	24	9	for	for	ADP
ejpam-5712	24	10	the	the	DET
ejpam-5712	24	11	perturbed	perturb	VERB
ejpam-5712	24	12	rotational	rotational	ADJ
ejpam-5712	24	13	motion	motion	NOUN
ejpam-5712	24	14	of	of	ADP
ejpam-5712	24	15	the	the	DET
ejpam-5712	24	16	rgb	rgb	PROPN
ejpam-5712	24	17	possessing	possess	VERB
ejpam-5712	24	18	an	an	DET
ejpam-5712	24	19	almost	almost	ADV
ejpam-5712	24	20	lagrangian	lagrangian	ADJ
ejpam-5712	24	21	mass	mass	NOUN
ejpam-5712	24	22	distribution	distribution	NOUN
ejpam-5712	24	23	is	be	AUX
ejpam-5712	24	24	studied	study	VERB
ejpam-5712	24	25	.	.	PUNCT
ejpam-5712	25	1	in	in	ADP
ejpam-5712	25	2	[	[	X
ejpam-5712	25	3	25	25	NUM
ejpam-5712	25	4	]	]	PUNCT
ejpam-5712	25	5	,	,	PUNCT
ejpam-5712	25	6	a	a	DET
ejpam-5712	25	7	novel	novel	ADJ
ejpam-5712	25	8	method	method	NOUN
ejpam-5712	25	9	is	be	AUX
ejpam-5712	25	10	presented	present	VERB
ejpam-5712	25	11	to	to	PART
ejpam-5712	25	12	describe	describe	VERB
ejpam-5712	25	13	the	the	DET
ejpam-5712	25	14	rotational	rotational	ADJ
ejpam-5712	25	15	behavior	behavior	NOUN
ejpam-5712	25	16	of	of	ADP
ejpam-5712	25	17	an	an	DET
ejpam-5712	25	18	asymmetric	asymmetric	ADJ
ejpam-5712	25	19	rgb	rgb	PROPN
ejpam-5712	25	20	by	by	ADP
ejpam-5712	25	21	leveraging	leverage	VERB
ejpam-5712	25	22	the	the	DET
ejpam-5712	25	23	moment	moment	NOUN
ejpam-5712	25	24	of	of	ADP
ejpam-5712	25	25	momentum	momentum	NOUN
ejpam-5712	25	26	vector	vector	NOUN
ejpam-5712	25	27	.	.	PUNCT
ejpam-5712	26	1	it	it	PRON
ejpam-5712	26	2	is	be	AUX
ejpam-5712	26	3	emphasized	emphasize	VERB
ejpam-5712	26	4	that	that	SCONJ
ejpam-5712	26	5	there	there	PRON
ejpam-5712	26	6	is	be	VERB
ejpam-5712	26	7	a	a	DET
ejpam-5712	26	8	similarity	similarity	NOUN
ejpam-5712	26	9	in	in	ADP
ejpam-5712	26	10	the	the	DET
ejpam-5712	26	11	rotational	rotational	ADJ
ejpam-5712	26	12	behavior	behavior	NOUN
ejpam-5712	26	13	of	of	ADP
ejpam-5712	26	14	an	an	DET
ejpam-5712	26	15	asymmetric	asymmetric	ADJ
ejpam-5712	26	16	rgb	rgb	PROPN
ejpam-5712	26	17	when	when	SCONJ
ejpam-5712	26	18	it	it	PRON
ejpam-5712	26	19	experiences	experience	VERB
ejpam-5712	26	20	a	a	DET
ejpam-5712	26	21	moment	moment	NOUN
ejpam-5712	26	22	along	along	ADP
ejpam-5712	26	23	its	its	PRON
ejpam-5712	26	24	axis	axis	NOUN
ejpam-5712	26	25	of	of	ADP
ejpam-5712	26	26	symmetry	symmetry	NOUN
ejpam-5712	26	27	and	and	CCONJ
ejpam-5712	26	28	when	when	SCONJ
ejpam-5712	26	29	it	it	PRON
ejpam-5712	26	30	is	be	AUX
ejpam-5712	26	31	subjected	subject	VERB
ejpam-5712	26	32	to	to	ADP
ejpam-5712	26	33	a	a	DET
ejpam-5712	26	34	continuous	continuous	ADJ
ejpam-5712	26	35	variation	variation	NOUN
ejpam-5712	26	36	of	of	ADP
ejpam-5712	26	37	moment	moment	NOUN
ejpam-5712	26	38	.	.	PUNCT
ejpam-5712	27	1	moreover	moreover	ADV
ejpam-5712	27	2	,	,	PUNCT
ejpam-5712	27	3	a	a	DET
ejpam-5712	27	4	precise	precise	ADJ
ejpam-5712	27	5	solution	solution	NOUN
ejpam-5712	27	6	is	be	AUX
ejpam-5712	27	7	obtained	obtain	VERB
ejpam-5712	27	8	for	for	ADP
ejpam-5712	27	9	the	the	DET
ejpam-5712	27	10	given	give	VERB
ejpam-5712	27	11	problem	problem	NOUN
ejpam-5712	27	12	by	by	ADP
ejpam-5712	27	13	accounting	account	VERB
ejpam-5712	27	14	for	for	ADP
ejpam-5712	27	15	the	the	DET
ejpam-5712	27	16	impact	impact	NOUN
ejpam-5712	27	17	of	of	ADP
ejpam-5712	27	18	linear	linear	ADJ
ejpam-5712	27	19	viscous	viscous	ADJ
ejpam-5712	27	20	friction	friction	NOUN
ejpam-5712	27	21	.	.	PUNCT
ejpam-5712	28	1	in	in	ADP
ejpam-5712	28	2	[	[	X
ejpam-5712	28	3	24	24	NUM
ejpam-5712	28	4	]	]	PUNCT
ejpam-5712	28	5	,	,	PUNCT
ejpam-5712	28	6	the	the	DET
ejpam-5712	28	7	motion	motion	NOUN
ejpam-5712	28	8	of	of	ADP
ejpam-5712	28	9	the	the	DET
ejpam-5712	28	10	rgb	rgb	PROPN
ejpam-5712	28	11	around	around	ADP
ejpam-5712	28	12	a	a	DET
ejpam-5712	28	13	fixed	fix	VERB
ejpam-5712	28	14	point	point	NOUN
ejpam-5712	28	15	subject	subject	ADJ
ejpam-5712	28	16	to	to	ADP
ejpam-5712	28	17	the	the	DET
ejpam-5712	28	18	effects	effect	NOUN
ejpam-5712	28	19	of	of	ADP
ejpam-5712	28	20	a	a	DET
ejpam-5712	28	21	newtonian	newtonian	ADJ
ejpam-5712	28	22	field	field	NOUN
ejpam-5712	28	23	(	(	PUNCT
ejpam-5712	28	24	nf	nf	X
ejpam-5712	28	25	)	)	PUNCT
ejpam-5712	28	26	is	be	AUX
ejpam-5712	28	27	examined	examine	VERB
ejpam-5712	28	28	.	.	PUNCT
ejpam-5712	29	1	euler	euler	NOUN
ejpam-5712	29	2	-	-	PUNCT
ejpam-5712	29	3	poisson	poisson	PROPN
ejpam-5712	29	4	’s	’s	PART
ejpam-5712	29	5	equations	equation	NOUN
ejpam-5712	29	6	are	be	AUX
ejpam-5712	29	7	utilized	utilize	VERB
ejpam-5712	29	8	to	to	PART
ejpam-5712	29	9	describe	describe	VERB
ejpam-5712	29	10	this	this	DET
ejpam-5712	29	11	movement	movement	NOUN
ejpam-5712	29	12	.	.	PUNCT
ejpam-5712	30	1	these	these	DET
ejpam-5712	30	2	equations	equation	NOUN
ejpam-5712	30	3	have	have	VERB
ejpam-5712	30	4	three	three	NUM
ejpam-5712	30	5	first	first	ADJ
ejpam-5712	30	6	integrals	integral	NOUN
ejpam-5712	30	7	that	that	PRON
ejpam-5712	30	8	are	be	AUX
ejpam-5712	30	9	widely	widely	ADV
ejpam-5712	30	10	recognized	recognize	VERB
ejpam-5712	30	11	.	.	PUNCT
ejpam-5712	31	1	the	the	DET
ejpam-5712	31	2	authors	author	NOUN
ejpam-5712	31	3	have	have	AUX
ejpam-5712	31	4	shown	show	VERB
ejpam-5712	31	5	that	that	SCONJ
ejpam-5712	31	6	by	by	ADP
ejpam-5712	31	7	defining	define	VERB
ejpam-5712	31	8	the	the	DET
ejpam-5712	31	9	necessary	necessary	ADJ
ejpam-5712	31	10	and	and	CCONJ
ejpam-5712	31	11	sufficient	sufficient	ADJ
ejpam-5712	31	12	conditions	condition	NOUN
ejpam-5712	31	13	,	,	PUNCT
ejpam-5712	31	14	it	it	PRON
ejpam-5712	31	15	becomes	become	VERB
ejpam-5712	31	16	possible	possible	ADJ
ejpam-5712	31	17	to	to	PART
ejpam-5712	31	18	identify	identify	VERB
ejpam-5712	31	19	functions	function	NOUN
ejpam-5712	31	20	that	that	PRON
ejpam-5712	31	21	can	can	AUX
ejpam-5712	31	22	represent	represent	VERB
ejpam-5712	31	23	the	the	DET
ejpam-5712	31	24	fourth	fourth	ADJ
ejpam-5712	31	25	first	first	ADJ
ejpam-5712	31	26	integral	integral	ADJ
ejpam-5712	31	27	of	of	ADP
ejpam-5712	31	28	the	the	DET
ejpam-5712	31	29	eom	eom	PROPN
ejpam-5712	31	30	.	.	PUNCT
ejpam-5712	32	1	the	the	DET
ejpam-5712	32	2	authors	author	NOUN
ejpam-5712	32	3	have	have	AUX
ejpam-5712	32	4	discovered	discover	VERB
ejpam-5712	32	5	that	that	SCONJ
ejpam-5712	32	6	by	by	ADP
ejpam-5712	32	7	determining	determine	VERB
ejpam-5712	32	8	the	the	DET
ejpam-5712	32	9	necessary	necessary	ADJ
ejpam-5712	32	10	and	and	CCONJ
ejpam-5712	32	11	sufficient	sufficient	ADJ
ejpam-5712	32	12	conditions	condition	NOUN
ejpam-5712	32	13	,	,	PUNCT
ejpam-5712	32	14	it	it	PRON
ejpam-5712	32	15	is	be	AUX
ejpam-5712	32	16	possible	possible	ADJ
ejpam-5712	32	17	to	to	PART
ejpam-5712	32	18	identify	identify	VERB
ejpam-5712	32	19	certain	certain	ADJ
ejpam-5712	32	20	functions	function	NOUN
ejpam-5712	32	21	that	that	PRON
ejpam-5712	32	22	can	can	AUX
ejpam-5712	32	23	serve	serve	VERB
ejpam-5712	32	24	as	as	ADP
ejpam-5712	32	25	the	the	DET
ejpam-5712	32	26	fourth	fourth	ADJ
ejpam-5712	32	27	first	first	ADJ
ejpam-5712	32	28	integral	integral	ADJ
ejpam-5712	32	29	for	for	ADP
ejpam-5712	32	30	the	the	DET
ejpam-5712	32	31	governing	govern	VERB
ejpam-5712	32	32	equations	equation	NOUN
ejpam-5712	32	33	.	.	PUNCT
ejpam-5712	33	1	in	in	ADP
ejpam-5712	33	2	[	[	X
ejpam-5712	33	3	4	4	NUM
ejpam-5712	33	4	]	]	PUNCT
ejpam-5712	33	5	,	,	PUNCT
ejpam-5712	33	6	the	the	DET
ejpam-5712	33	7	analytical	analytical	ADJ
ejpam-5712	33	8	solutions	solution	NOUN
ejpam-5712	33	9	for	for	ADP
ejpam-5712	33	10	euler	euler	PROPN
ejpam-5712	33	11	’s	’s	PART
ejpam-5712	33	12	equations	equation	NOUN
ejpam-5712	33	13	governing	govern	VERB
ejpam-5712	33	14	the	the	DET
ejpam-5712	33	15	motion	motion	NOUN
ejpam-5712	33	16	of	of	ADP
ejpam-5712	33	17	a	a	DET
ejpam-5712	33	18	rgb	rgb	PROPN
ejpam-5712	33	19	are	be	AUX
ejpam-5712	33	20	presented	present	VERB
ejpam-5712	33	21	.	.	PUNCT
ejpam-5712	34	1	specifically	specifically	ADV
ejpam-5712	34	2	,	,	PUNCT
ejpam-5712	34	3	the	the	DET
ejpam-5712	34	4	focus	focus	NOUN
ejpam-5712	34	5	is	be	AUX
ejpam-5712	34	6	on	on	ADP
ejpam-5712	34	7	a	a	DET
ejpam-5712	34	8	scenario	scenario	NOUN
ejpam-5712	34	9	where	where	SCONJ
ejpam-5712	34	10	the	the	DET
ejpam-5712	34	11	body	body	NOUN
ejpam-5712	34	12	is	be	AUX
ejpam-5712	34	13	fixed	fix	VERB
ejpam-5712	34	14	at	at	ADP
ejpam-5712	34	15	a	a	DET
ejpam-5712	34	16	point	point	NOUN
ejpam-5712	34	17	and	and	CCONJ
ejpam-5712	34	18	subjected	subject	VERB
ejpam-5712	34	19	to	to	ADP
ejpam-5712	34	20	a	a	DET
ejpam-5712	34	21	gyrostatic	gyrostatic	ADJ
ejpam-5712	34	22	torque	torque	NOUN
ejpam-5712	34	23	.	.	PUNCT
ejpam-5712	35	1	by	by	ADP
ejpam-5712	35	2	considering	consider	VERB
ejpam-5712	35	3	the	the	DET
ejpam-5712	35	4	inherent	inherent	ADJ
ejpam-5712	35	5	physical	physical	ADJ
ejpam-5712	35	6	characteristics	characteristic	NOUN
ejpam-5712	35	7	of	of	ADP
ejpam-5712	35	8	the	the	DET
ejpam-5712	35	9	body	body	NOUN
ejpam-5712	35	10	,	,	PUNCT
ejpam-5712	35	11	the	the	DET
ejpam-5712	35	12	analytical	analytical	ADJ
ejpam-5712	35	13	solutions	solution	NOUN
ejpam-5712	35	14	are	be	AUX
ejpam-5712	35	15	derived	derive	VERB
ejpam-5712	35	16	.	.	PUNCT
ejpam-5712	36	1	furthermore	furthermore	ADV
ejpam-5712	36	2	,	,	PUNCT
ejpam-5712	36	3	the	the	DET
ejpam-5712	36	4	uniqueness	uniqueness	NOUN
ejpam-5712	36	5	of	of	ADP
ejpam-5712	36	6	these	these	DET
ejpam-5712	36	7	solutions	solution	NOUN
ejpam-5712	36	8	has	have	AUX
ejpam-5712	36	9	been	be	AUX
ejpam-5712	36	10	established	establish	VERB
ejpam-5712	36	11	and	and	CCONJ
ejpam-5712	36	12	proven	prove	VERB
ejpam-5712	36	13	.	.	PUNCT
ejpam-5712	37	1	in	in	ADP
ejpam-5712	37	2	[	[	X
ejpam-5712	37	3	17	17	NUM
ejpam-5712	37	4	]	]	PUNCT
ejpam-5712	37	5	,	,	PUNCT
ejpam-5712	37	6	a	a	DET
ejpam-5712	37	7	novel	novel	NOUN
ejpam-5712	37	8	and	and	CCONJ
ejpam-5712	37	9	precise	precise	ADJ
ejpam-5712	37	10	solution	solution	NOUN
ejpam-5712	37	11	to	to	PART
ejpam-5712	37	12	euler	euler	VERB
ejpam-5712	37	13	’s	’s	PART
ejpam-5712	37	14	equations	equation	NOUN
ejpam-5712	37	15	has	have	AUX
ejpam-5712	37	16	been	be	AUX
ejpam-5712	37	17	introduced	introduce	VERB
ejpam-5712	37	18	.	.	PUNCT
ejpam-5712	38	1	this	this	DET
ejpam-5712	38	2	groundbreaking	groundbreaking	ADJ
ejpam-5712	38	3	solution	solution	NOUN
ejpam-5712	38	4	demonstrates	demonstrate	VERB
ejpam-5712	38	5	notable	notable	ADJ
ejpam-5712	38	6	distinctions	distinction	NOUN
ejpam-5712	38	7	in	in	ADP
ejpam-5712	38	8	all	all	DET
ejpam-5712	38	9	aspects	aspect	NOUN
ejpam-5712	38	10	of	of	ADP
ejpam-5712	38	11	the	the	DET
ejpam-5712	38	12	angular	angular	ADJ
ejpam-5712	38	13	velocity	velocity	NOUN
ejpam-5712	38	14	of	of	ADP
ejpam-5712	38	15	the	the	DET
ejpam-5712	38	16	rgb	rgb	PROPN
ejpam-5712	38	17	compared	compare	VERB
ejpam-5712	38	18	to	to	ADP
ejpam-5712	38	19	both	both	CCONJ
ejpam-5712	38	20	symmetric	symmetric	ADJ
ejpam-5712	38	21	rigid	rigid	ADJ
ejpam-5712	38	22	rotors	rotor	NOUN
ejpam-5712	38	23	and	and	CCONJ
ejpam-5712	38	24	euler	euler	NOUN
ejpam-5712	38	25	’s	’s	PART
ejpam-5712	38	26	case	case	NOUN
ejpam-5712	38	27	when	when	SCONJ
ejpam-5712	38	28	no	no	DET
ejpam-5712	38	29	torques	torque	NOUN
ejpam-5712	38	30	are	be	AUX
ejpam-5712	38	31	applied	apply	VERB
ejpam-5712	38	32	,	,	PUNCT
ejpam-5712	38	33	as	as	ADV
ejpam-5712	38	34	well	well	ADV
ejpam-5712	38	35	as	as	ADP
ejpam-5712	38	36	other	other	ADJ
ejpam-5712	38	37	widely	widely	ADV
ejpam-5712	38	38	recognized	recognize	VERB
ejpam-5712	38	39	specific	specific	ADJ
ejpam-5712	38	40	scenarios	scenario	NOUN
ejpam-5712	38	41	.	.	PUNCT
ejpam-5712	39	1	additionally	additionally	ADV
ejpam-5712	39	2	,	,	PUNCT
ejpam-5712	39	3	this	this	DET
ejpam-5712	39	4	solution	solution	NOUN
ejpam-5712	39	5	has	have	AUX
ejpam-5712	39	6	been	be	AUX
ejpam-5712	39	7	mathematically	mathematically	ADV
ejpam-5712	39	8	proven	prove	VERB
ejpam-5712	39	9	to	to	PART
ejpam-5712	39	10	adhere	adhere	VERB
ejpam-5712	39	11	to	to	ADP
ejpam-5712	39	12	euler	euler	VERB
ejpam-5712	39	13	-	-	PUNCT
ejpam-5712	39	14	poinsot	poinsot	NOUN
ejpam-5712	39	15	’s	’s	PART
ejpam-5712	39	16	equations	equation	NOUN
ejpam-5712	39	17	,	,	PUNCT
ejpam-5712	39	18	encompassing	encompass	VERB
ejpam-5712	39	19	motion	motion	NOUN
ejpam-5712	39	20	invariants	invariant	NOUN
ejpam-5712	39	21	and	and	CCONJ
ejpam-5712	39	22	an	an	DET
ejpam-5712	39	23	additional	additional	ADJ
ejpam-5712	39	24	invariant	invariant	ADJ
ejpam-5712	39	25	specific	specific	NOUN
ejpam-5712	39	26	to	to	PART
ejpam-5712	39	27	euler	euler	VERB
ejpam-5712	39	28	’s	’s	PART
ejpam-5712	39	29	principles	principle	NOUN
ejpam-5712	39	30	.	.	PUNCT
ejpam-5712	40	1	in	in	ADP
ejpam-5712	40	2	[	[	X
ejpam-5712	40	3	1	1	X
ejpam-5712	40	4	]	]	PUNCT
ejpam-5712	40	5	corresponding	correspond	VERB
ejpam-5712	40	6	to	to	ADP
ejpam-5712	40	7	previous	previous	ADJ
ejpam-5712	40	8	studies	study	NOUN
ejpam-5712	40	9	[	[	X
ejpam-5712	40	10	29	29	NUM
ejpam-5712	40	11	,	,	PUNCT
ejpam-5712	40	12	30	30	NUM
ejpam-5712	40	13	]	]	PUNCT
ejpam-5712	40	14	,	,	PUNCT
ejpam-5712	40	15	a	a	DET
ejpam-5712	40	16	study	study	NOUN
ejpam-5712	40	17	that	that	PRON
ejpam-5712	40	18	examines	examine	VERB
ejpam-5712	40	19	the	the	DET
ejpam-5712	40	20	effects	effect	NOUN
ejpam-5712	40	21	of	of	ADP
ejpam-5712	40	22	a	a	DET
ejpam-5712	40	23	central	central	ADJ
ejpam-5712	40	24	nf	nf	NOUN
ejpam-5712	40	25	on	on	ADP
ejpam-5712	40	26	a	a	DET
ejpam-5712	40	27	gyrostat	gyrostat	NOUN
ejpam-5712	40	28	is	be	AUX
ejpam-5712	40	29	presented	present	VERB
ejpam-5712	40	30	.	.	PUNCT
ejpam-5712	41	1	this	this	DET
ejpam-5712	41	2	field	field	NOUN
ejpam-5712	41	3	originates	originate	VERB
ejpam-5712	41	4	from	from	ADP
ejpam-5712	41	5	an	an	DET
ejpam-5712	41	6	attracting	attract	VERB
ejpam-5712	41	7	center	center	NOUN
ejpam-5712	41	8	positioned	position	VERB
ejpam-5712	41	9	along	along	ADP
ejpam-5712	41	10	a	a	DET
ejpam-5712	41	11	downward	downward	ADJ
ejpam-5712	41	12	fixed	fix	VERB
ejpam-5712	41	13	axis	axis	NOUN
ejpam-5712	41	14	.	.	PUNCT
ejpam-5712	42	1	the	the	DET
ejpam-5712	42	2	study	study	NOUN
ejpam-5712	42	3	also	also	ADV
ejpam-5712	42	4	delves	delve	VERB
ejpam-5712	42	5	into	into	ADP
ejpam-5712	42	6	the	the	DET
ejpam-5712	42	7	third	third	ADJ
ejpam-5712	42	8	component	component	NOUN
ejpam-5712	42	9	of	of	ADP
ejpam-5712	42	10	the	the	DET
ejpam-5712	42	11	gm	gm	PROPN
ejpam-5712	42	12	vector	vector	NOUN
ejpam-5712	42	13	,	,	PUNCT
ejpam-5712	42	14	along	along	ADP
ejpam-5712	42	15	with	with	ADP
ejpam-5712	42	16	the	the	DET
ejpam-5712	42	17	effects	effect	NOUN
ejpam-5712	42	18	of	of	ADP
ejpam-5712	42	19	the	the	DET
ejpam-5712	42	20	restoring	restore	VERB
ejpam-5712	42	21	moment	moment	NOUN
ejpam-5712	42	22	and	and	CCONJ
ejpam-5712	42	23	the	the	DET
ejpam-5712	42	24	perturbing	perturb	VERB
ejpam-5712	42	25	moment	moment	NOUN
ejpam-5712	42	26	vector	vector	NOUN
ejpam-5712	42	27	.	.	PUNCT
ejpam-5712	43	1	t.	t.	PROPN
ejpam-5712	43	2	s.	s.	PROPN
ejpam-5712	43	3	amer	amer	PROPN
ejpam-5712	43	4	et	et	PROPN
ejpam-5712	43	5	al	al	PROPN
ejpam-5712	43	6	.	.	PUNCT
ejpam-5712	43	7	/	/	SYM
ejpam-5712	43	8	eur	eur	PROPN
ejpam-5712	43	9	.	.	PUNCT
ejpam-5712	44	1	j.	j.	PROPN
ejpam-5712	44	2	pure	pure	PROPN
ejpam-5712	44	3	appl	appl	PROPN
ejpam-5712	44	4	.	.	PROPN
ejpam-5712	44	5	math	math	PROPN
ejpam-5712	44	6	,	,	PUNCT
ejpam-5712	44	7	18	18	NUM
ejpam-5712	44	8	(	(	PUNCT
ejpam-5712	44	9	1	1	NUM
ejpam-5712	44	10	)	)	PUNCT
ejpam-5712	44	11	(	(	PUNCT
ejpam-5712	44	12	2025	2025	NUM
ejpam-5712	44	13	)	)	PUNCT
ejpam-5712	44	14	,	,	PUNCT
ejpam-5712	44	15	5712	5712	NUM
ejpam-5712	44	16	3	3	NUM
ejpam-5712	44	17	of	of	ADP
ejpam-5712	44	18	14	14	NUM
ejpam-5712	44	19	in	in	ADP
ejpam-5712	44	20	[	[	X
ejpam-5712	44	21	3	3	NUM
ejpam-5712	44	22	]	]	PUNCT
ejpam-5712	44	23	,	,	PUNCT
ejpam-5712	44	24	a	a	DET
ejpam-5712	44	25	different	different	ADJ
ejpam-5712	44	26	research	research	NOUN
ejpam-5712	44	27	study	study	NOUN
ejpam-5712	44	28	focuses	focus	VERB
ejpam-5712	44	29	on	on	ADP
ejpam-5712	44	30	the	the	DET
ejpam-5712	44	31	movement	movement	NOUN
ejpam-5712	44	32	of	of	ADP
ejpam-5712	44	33	a	a	DET
ejpam-5712	44	34	symmetrical	symmetrical	ADJ
ejpam-5712	44	35	rgb	rgb	NOUN
ejpam-5712	44	36	along	along	ADP
ejpam-5712	44	37	one	one	NUM
ejpam-5712	44	38	of	of	ADP
ejpam-5712	44	39	its	its	PRON
ejpam-5712	44	40	primary	primary	ADJ
ejpam-5712	44	41	axes	axis	NOUN
ejpam-5712	44	42	.	.	PUNCT
ejpam-5712	45	1	this	this	DET
ejpam-5712	45	2	study	study	NOUN
ejpam-5712	45	3	explores	explore	VERB
ejpam-5712	45	4	the	the	DET
ejpam-5712	45	5	impact	impact	NOUN
ejpam-5712	45	6	of	of	ADP
ejpam-5712	45	7	the	the	DET
ejpam-5712	45	8	nf	nf	NOUN
ejpam-5712	45	9	in	in	ADP
ejpam-5712	45	10	conjunction	conjunction	NOUN
ejpam-5712	45	11	with	with	ADP
ejpam-5712	45	12	a	a	DET
ejpam-5712	45	13	gyrostatic	gyrostatic	ADJ
ejpam-5712	45	14	torque	torque	NOUN
ejpam-5712	45	15	,	,	PUNCT
ejpam-5712	45	16	where	where	SCONJ
ejpam-5712	45	17	the	the	DET
ejpam-5712	45	18	second	second	ADJ
ejpam-5712	45	19	component	component	NOUN
ejpam-5712	45	20	of	of	ADP
ejpam-5712	45	21	this	this	DET
ejpam-5712	45	22	torque	torque	NOUN
ejpam-5712	45	23	is	be	AUX
ejpam-5712	45	24	considered	consider	VERB
ejpam-5712	45	25	null	null	ADJ
ejpam-5712	45	26	.	.	PUNCT
ejpam-5712	46	1	in	in	ADP
ejpam-5712	46	2	[	[	X
ejpam-5712	46	3	2	2	NUM
ejpam-5712	46	4	]	]	PUNCT
ejpam-5712	46	5	,	,	PUNCT
ejpam-5712	46	6	the	the	DET
ejpam-5712	46	7	author	author	NOUN
ejpam-5712	46	8	presents	present	VERB
ejpam-5712	46	9	a	a	DET
ejpam-5712	46	10	novel	novel	ADJ
ejpam-5712	46	11	solution	solution	NOUN
ejpam-5712	46	12	for	for	ADP
ejpam-5712	46	13	lagrange	lagrange	NOUN
ejpam-5712	46	14	’s	’s	PART
ejpam-5712	46	15	equation	equation	NOUN
ejpam-5712	46	16	in	in	ADP
ejpam-5712	46	17	the	the	DET
ejpam-5712	46	18	case	case	NOUN
ejpam-5712	46	19	of	of	ADP
ejpam-5712	46	20	the	the	DET
ejpam-5712	46	21	dynamical	dynamical	ADJ
ejpam-5712	46	22	behavior	behavior	NOUN
ejpam-5712	46	23	of	of	ADP
ejpam-5712	46	24	the	the	DET
ejpam-5712	46	25	rgb	rgb	PROPN
ejpam-5712	46	26	suspended	suspend	VERB
ejpam-5712	46	27	on	on	ADP
ejpam-5712	46	28	an	an	DET
ejpam-5712	46	29	elastic	elastic	ADJ
ejpam-5712	46	30	spring	spring	NOUN
ejpam-5712	46	31	as	as	ADP
ejpam-5712	46	32	a	a	DET
ejpam-5712	46	33	pendulum	pendulum	NOUN
ejpam-5712	46	34	model	model	NOUN
ejpam-5712	46	35	.	.	PUNCT
ejpam-5712	47	1	in	in	ADP
ejpam-5712	47	2	[	[	X
ejpam-5712	47	3	23	23	NUM
ejpam-5712	47	4	]	]	PUNCT
ejpam-5712	47	5	,	,	PUNCT
ejpam-5712	47	6	the	the	DET
ejpam-5712	47	7	effects	effect	NOUN
ejpam-5712	47	8	of	of	ADP
ejpam-5712	47	9	a	a	DET
ejpam-5712	47	10	gyrostatic	gyrostatic	ADJ
ejpam-5712	47	11	torque	torque	NOUN
ejpam-5712	47	12	with	with	ADP
ejpam-5712	47	13	both	both	CCONJ
ejpam-5712	47	14	its	its	PRON
ejpam-5712	47	15	first	first	ADJ
ejpam-5712	47	16	and	and	CCONJ
ejpam-5712	47	17	second	second	ADJ
ejpam-5712	47	18	components	component	NOUN
ejpam-5712	47	19	set	set	VERB
ejpam-5712	47	20	to	to	ADP
ejpam-5712	47	21	zero	zero	NUM
ejpam-5712	47	22	,	,	PUNCT
ejpam-5712	47	23	along	along	ADP
ejpam-5712	47	24	with	with	ADP
ejpam-5712	47	25	the	the	DET
ejpam-5712	47	26	nf	nf	NOUN
ejpam-5712	47	27	,	,	PUNCT
ejpam-5712	47	28	are	be	AUX
ejpam-5712	47	29	investigated	investigate	VERB
ejpam-5712	47	30	.	.	PUNCT
ejpam-5712	48	1	in	in	ADP
ejpam-5712	48	2	[	[	X
ejpam-5712	48	3	5	5	NUM
ejpam-5712	48	4	]	]	PUNCT
ejpam-5712	48	5	,	,	PUNCT
ejpam-5712	48	6	the	the	DET
ejpam-5712	48	7	main	main	ADJ
ejpam-5712	48	8	subjects	subject	NOUN
ejpam-5712	48	9	of	of	ADP
ejpam-5712	48	10	study	study	NOUN
ejpam-5712	48	11	are	be	AUX
ejpam-5712	48	12	the	the	DET
ejpam-5712	48	13	motion	motion	NOUN
ejpam-5712	48	14	of	of	ADP
ejpam-5712	48	15	an	an	DET
ejpam-5712	48	16	asymmetric	asymmetric	ADJ
ejpam-5712	48	17	rgb	rgb	PROPN
ejpam-5712	48	18	under	under	ADP
ejpam-5712	48	19	the	the	DET
ejpam-5712	48	20	influence	influence	NOUN
ejpam-5712	48	21	of	of	ADP
ejpam-5712	48	22	the	the	DET
ejpam-5712	48	23	nf	nf	ADJ
ejpam-5712	48	24	,	,	PUNCT
ejpam-5712	48	25	gyrostatic	gyrostatic	ADJ
ejpam-5712	48	26	torque	torque	NOUN
ejpam-5712	48	27	,	,	PUNCT
ejpam-5712	48	28	and	and	CCONJ
ejpam-5712	48	29	perturbing	perturb	VERB
ejpam-5712	48	30	moments	moment	NOUN
ejpam-5712	48	31	.	.	PUNCT
ejpam-5712	49	1	in	in	ADP
ejpam-5712	49	2	[	[	X
ejpam-5712	49	3	33	33	NUM
ejpam-5712	49	4	]	]	PUNCT
ejpam-5712	49	5	,	,	PUNCT
ejpam-5712	49	6	a	a	DET
ejpam-5712	49	7	study	study	NOUN
ejpam-5712	49	8	investigates	investigate	VERB
ejpam-5712	49	9	the	the	DET
ejpam-5712	49	10	most	most	ADV
ejpam-5712	49	11	efficient	efficient	ADJ
ejpam-5712	49	12	way	way	NOUN
ejpam-5712	49	13	to	to	PART
ejpam-5712	49	14	slow	slow	VERB
ejpam-5712	49	15	down	down	ADP
ejpam-5712	49	16	a	a	DET
ejpam-5712	49	17	dynamically	dynamically	ADV
ejpam-5712	49	18	asymmetric	asymmetric	ADJ
ejpam-5712	49	19	rgb	rgb	PROPN
ejpam-5712	49	20	by	by	ADP
ejpam-5712	49	21	employing	employ	VERB
ejpam-5712	49	22	nondimensional	nondimensional	ADJ
ejpam-5712	49	23	variables	variable	NOUN
ejpam-5712	49	24	.	.	PUNCT
ejpam-5712	50	1	this	this	DET
ejpam-5712	50	2	approach	approach	NOUN
ejpam-5712	50	3	allows	allow	VERB
ejpam-5712	50	4	for	for	ADP
ejpam-5712	50	5	the	the	DET
ejpam-5712	50	6	derivation	derivation	NOUN
ejpam-5712	50	7	of	of	ADP
ejpam-5712	50	8	a	a	DET
ejpam-5712	50	9	system	system	NOUN
ejpam-5712	50	10	of	of	ADP
ejpam-5712	50	11	motion	motion	NOUN
ejpam-5712	50	12	equations	equation	NOUN
ejpam-5712	50	13	with	with	ADP
ejpam-5712	50	14	multiple	multiple	ADJ
ejpam-5712	50	15	parameters	parameter	NOUN
ejpam-5712	50	16	.	.	PUNCT
ejpam-5712	51	1	by	by	ADP
ejpam-5712	51	2	constructing	construct	VERB
ejpam-5712	51	3	a	a	DET
ejpam-5712	51	4	vector	vector	NOUN
ejpam-5712	51	5	hodograph	hodograph	NOUN
ejpam-5712	51	6	of	of	ADP
ejpam-5712	51	7	the	the	DET
ejpam-5712	51	8	angular	angular	ADJ
ejpam-5712	51	9	momentum	momentum	NOUN
ejpam-5712	51	10	in	in	ADP
ejpam-5712	51	11	three	three	NUM
ejpam-5712	51	12	-	-	PUNCT
ejpam-5712	51	13	dimensional	dimensional	ADJ
ejpam-5712	51	14	space	space	NOUN
ejpam-5712	51	15	,	,	PUNCT
ejpam-5712	51	16	various	various	ADJ
ejpam-5712	51	17	combinations	combination	NOUN
ejpam-5712	51	18	of	of	ADP
ejpam-5712	51	19	system	system	NOUN
ejpam-5712	51	20	parameters	parameter	NOUN
ejpam-5712	51	21	are	be	AUX
ejpam-5712	51	22	explored	explore	VERB
ejpam-5712	51	23	.	.	PUNCT
ejpam-5712	52	1	the	the	DET
ejpam-5712	52	2	krylov	krylov	NOUN
ejpam-5712	52	3	-	-	PUNCT
ejpam-5712	52	4	bogoliubov	bogoliubov	NOUN
ejpam-5712	52	5	-	-	PUNCT
ejpam-5712	52	6	mitropolski	mitropolski	NOUN
ejpam-5712	52	7	asymptotic	asymptotic	ADJ
ejpam-5712	52	8	averaging	averaging	NOUN
ejpam-5712	52	9	method	method	NOUN
ejpam-5712	52	10	,	,	PUNCT
ejpam-5712	52	11	as	as	SCONJ
ejpam-5712	52	12	described	describe	VERB
ejpam-5712	52	13	in	in	ADP
ejpam-5712	52	14	[	[	X
ejpam-5712	52	15	27	27	NUM
ejpam-5712	52	16	,	,	PUNCT
ejpam-5712	52	17	31	31	NUM
ejpam-5712	52	18	,	,	PUNCT
ejpam-5712	52	19	32	32	NUM
ejpam-5712	52	20	]	]	PUNCT
ejpam-5712	52	21	,	,	PUNCT
ejpam-5712	52	22	is	be	AUX
ejpam-5712	52	23	utilized	utilize	VERB
ejpam-5712	52	24	to	to	PART
ejpam-5712	52	25	study	study	VERB
ejpam-5712	52	26	the	the	DET
ejpam-5712	52	27	movement	movement	NOUN
ejpam-5712	52	28	of	of	ADP
ejpam-5712	52	29	rgbs	rgbs	NOUN
ejpam-5712	52	30	that	that	PRON
ejpam-5712	52	31	contain	contain	VERB
ejpam-5712	52	32	fluid	fluid	NOUN
ejpam-5712	52	33	-	-	PUNCT
ejpam-5712	52	34	filled	fill	VERB
ejpam-5712	52	35	cavities	cavity	NOUN
ejpam-5712	52	36	and	and	CCONJ
ejpam-5712	52	37	are	be	AUX
ejpam-5712	52	38	influenced	influence	VERB
ejpam-5712	52	39	by	by	ADP
ejpam-5712	52	40	the	the	DET
ejpam-5712	52	41	gm	gm	PROPN
ejpam-5712	52	42	vector	vector	NOUN
ejpam-5712	52	43	.	.	PUNCT
ejpam-5712	53	1	by	by	ADP
ejpam-5712	53	2	adjusting	adjust	VERB
ejpam-5712	53	3	a	a	DET
ejpam-5712	53	4	small	small	ADJ
ejpam-5712	53	5	parameter	parameter	NOUN
ejpam-5712	53	6	for	for	ADP
ejpam-5712	53	7	the	the	DET
ejpam-5712	53	8	second	second	ADJ
ejpam-5712	53	9	approximation	approximation	NOUN
ejpam-5712	53	10	,	,	PUNCT
ejpam-5712	53	11	the	the	DET
ejpam-5712	53	12	authors	author	NOUN
ejpam-5712	53	13	successfully	successfully	ADV
ejpam-5712	53	14	derive	derive	VERB
ejpam-5712	53	15	the	the	DET
ejpam-5712	53	16	governing	govern	VERB
ejpam-5712	53	17	equation	equation	NOUN
ejpam-5712	53	18	of	of	ADP
ejpam-5712	53	19	motion	motion	NOUN
ejpam-5712	53	20	in	in	ADP
ejpam-5712	53	21	its	its	PRON
ejpam-5712	53	22	standardized	standardized	ADJ
ejpam-5712	53	23	form	form	NOUN
ejpam-5712	53	24	.	.	PUNCT
ejpam-5712	54	1	they	they	PRON
ejpam-5712	54	2	then	then	ADV
ejpam-5712	54	3	conducted	conduct	VERB
ejpam-5712	54	4	an	an	DET
ejpam-5712	54	5	analysis	analysis	NOUN
ejpam-5712	54	6	of	of	ADP
ejpam-5712	54	7	the	the	DET
ejpam-5712	54	8	cauchy	cauchy	ADJ
ejpam-5712	54	9	problem	problem	NOUN
ejpam-5712	54	10	for	for	ADP
ejpam-5712	54	11	a	a	DET
ejpam-5712	54	12	system	system	NOUN
ejpam-5712	54	13	that	that	PRON
ejpam-5712	54	14	was	be	AUX
ejpam-5712	54	15	identified	identify	VERB
ejpam-5712	54	16	through	through	ADP
ejpam-5712	54	17	the	the	DET
ejpam-5712	54	18	averaging	averaging	NOUN
ejpam-5712	54	19	process	process	NOUN
ejpam-5712	54	20	.	.	PUNCT
ejpam-5712	55	1	in	in	ADP
ejpam-5712	55	2	[	[	X
ejpam-5712	55	3	21	21	NUM
ejpam-5712	55	4	]	]	PUNCT
ejpam-5712	55	5	,	,	PUNCT
ejpam-5712	55	6	another	another	DET
ejpam-5712	55	7	investigation	investigation	NOUN
ejpam-5712	55	8	on	on	ADP
ejpam-5712	55	9	the	the	DET
ejpam-5712	55	10	motion	motion	NOUN
ejpam-5712	55	11	of	of	ADP
ejpam-5712	55	12	the	the	DET
ejpam-5712	55	13	rgb	rgb	PROPN
ejpam-5712	55	14	,	,	PUNCT
ejpam-5712	55	15	which	which	PRON
ejpam-5712	55	16	experiences	experience	VERB
ejpam-5712	55	17	a	a	DET
ejpam-5712	55	18	restoring	restore	VERB
ejpam-5712	55	19	moment	moment	NOUN
ejpam-5712	55	20	,	,	PUNCT
ejpam-5712	55	21	a	a	DET
ejpam-5712	55	22	third	third	ADJ
ejpam-5712	55	23	gm	gm	PROPN
ejpam-5712	55	24	component	component	NOUN
ejpam-5712	55	25	,	,	PUNCT
ejpam-5712	55	26	and	and	CCONJ
ejpam-5712	55	27	a	a	DET
ejpam-5712	55	28	perturbing	perturbing	ADJ
ejpam-5712	55	29	moment	moment	NOUN
ejpam-5712	55	30	,	,	PUNCT
ejpam-5712	55	31	is	be	AUX
ejpam-5712	55	32	presented	present	VERB
ejpam-5712	55	33	.	.	PUNCT
ejpam-5712	56	1	in	in	ADP
ejpam-5712	56	2	[	[	X
ejpam-5712	56	3	19	19	NUM
ejpam-5712	56	4	]	]	PUNCT
ejpam-5712	56	5	,	,	PUNCT
ejpam-5712	56	6	the	the	DET
ejpam-5712	56	7	impact	impact	NOUN
ejpam-5712	56	8	of	of	ADP
ejpam-5712	56	9	a	a	DET
ejpam-5712	56	10	gm	gm	PROPN
ejpam-5712	56	11	,	,	PUNCT
ejpam-5712	56	12	constant	constant	ADJ
ejpam-5712	56	13	torques	torque	NOUN
ejpam-5712	56	14	along	along	ADP
ejpam-5712	56	15	the	the	DET
ejpam-5712	56	16	axes	axis	NOUN
ejpam-5712	56	17	connected	connect	VERB
ejpam-5712	56	18	to	to	ADP
ejpam-5712	56	19	the	the	DET
ejpam-5712	56	20	body	body	NOUN
ejpam-5712	56	21	,	,	PUNCT
ejpam-5712	56	22	and	and	CCONJ
ejpam-5712	56	23	resistant	resistant	ADJ
ejpam-5712	56	24	forces	force	NOUN
ejpam-5712	56	25	on	on	ADP
ejpam-5712	56	26	the	the	DET
ejpam-5712	56	27	movement	movement	NOUN
ejpam-5712	56	28	of	of	ADP
ejpam-5712	56	29	a	a	DET
ejpam-5712	56	30	charged	charge	VERB
ejpam-5712	56	31	rgb	rgb	PROPN
ejpam-5712	56	32	are	be	AUX
ejpam-5712	56	33	discussed	discuss	VERB
ejpam-5712	56	34	.	.	PUNCT
ejpam-5712	57	1	in	in	ADP
ejpam-5712	57	2	[	[	X
ejpam-5712	57	3	20	20	NUM
ejpam-5712	57	4	]	]	PUNCT
ejpam-5712	57	5	,	,	PUNCT
ejpam-5712	57	6	the	the	DET
ejpam-5712	57	7	examination	examination	NOUN
ejpam-5712	57	8	of	of	ADP
ejpam-5712	57	9	the	the	DET
ejpam-5712	57	10	rgb	rgb	PROPN
ejpam-5712	57	11	in	in	ADP
ejpam-5712	57	12	three	three	NUM
ejpam-5712	57	13	-	-	PUNCT
ejpam-5712	57	14	dimensional	dimensional	ADJ
ejpam-5712	57	15	space	space	NOUN
ejpam-5712	57	16	with	with	ADP
ejpam-5712	57	17	a	a	DET
ejpam-5712	57	18	smooth	smooth	ADJ
ejpam-5712	57	19	surface	surface	NOUN
ejpam-5712	57	20	of	of	ADP
ejpam-5712	57	21	any	any	DET
ejpam-5712	57	22	shape	shape	NOUN
ejpam-5712	57	23	has	have	AUX
ejpam-5712	57	24	been	be	AUX
ejpam-5712	57	25	explored	explore	VERB
ejpam-5712	57	26	.	.	PUNCT
ejpam-5712	58	1	this	this	DET
ejpam-5712	58	2	body	body	NOUN
ejpam-5712	58	3	is	be	AUX
ejpam-5712	58	4	immersed	immerse	VERB
ejpam-5712	58	5	in	in	ADP
ejpam-5712	58	6	an	an	DET
ejpam-5712	58	7	unbounded	unbounded	ADJ
ejpam-5712	58	8	liquid	liquid	NOUN
ejpam-5712	58	9	and	and	CCONJ
ejpam-5712	58	10	subjected	subject	VERB
ejpam-5712	58	11	to	to	ADP
ejpam-5712	58	12	a	a	DET
ejpam-5712	58	13	predetermined	predetermine	VERB
ejpam-5712	58	14	external	external	ADJ
ejpam-5712	58	15	force	force	NOUN
ejpam-5712	58	16	and	and	CCONJ
ejpam-5712	58	17	constant	constant	ADJ
ejpam-5712	58	18	torques	torque	NOUN
ejpam-5712	58	19	that	that	PRON
ejpam-5712	58	20	are	be	AUX
ejpam-5712	58	21	fixed	fix	VERB
ejpam-5712	58	22	to	to	ADP
ejpam-5712	58	23	the	the	DET
ejpam-5712	58	24	body	body	NOUN
ejpam-5712	58	25	.	.	PUNCT
ejpam-5712	59	1	it	it	PRON
ejpam-5712	59	2	is	be	AUX
ejpam-5712	59	3	demonstrated	demonstrate	VERB
ejpam-5712	59	4	that	that	SCONJ
ejpam-5712	59	5	there	there	PRON
ejpam-5712	59	6	exists	exist	VERB
ejpam-5712	59	7	at	at	ADP
ejpam-5712	59	8	least	least	ADV
ejpam-5712	59	9	one	one	NUM
ejpam-5712	59	10	comprehensive	comprehensive	ADJ
ejpam-5712	59	11	and	and	CCONJ
ejpam-5712	59	12	stable	stable	ADJ
ejpam-5712	59	13	solution	solution	NOUN
ejpam-5712	59	14	to	to	ADP
ejpam-5712	59	15	the	the	DET
ejpam-5712	59	16	initial	initial	ADJ
ejpam-5712	59	17	boundary	boundary	ADJ
ejpam-5712	59	18	value	value	NOUN
ejpam-5712	59	19	problem	problem	NOUN
ejpam-5712	59	20	related	relate	VERB
ejpam-5712	59	21	to	to	ADP
ejpam-5712	59	22	this	this	DET
ejpam-5712	59	23	case	case	NOUN
ejpam-5712	59	24	,	,	PUNCT
ejpam-5712	59	25	provided	provide	VERB
ejpam-5712	59	26	the	the	DET
ejpam-5712	59	27	input	input	NOUN
ejpam-5712	59	28	data	datum	NOUN
ejpam-5712	59	29	are	be	AUX
ejpam-5712	59	30	regular	regular	ADJ
ejpam-5712	59	31	and	and	CCONJ
ejpam-5712	59	32	small	small	ADJ
ejpam-5712	59	33	enough	enough	ADV
ejpam-5712	59	34	,	,	PUNCT
ejpam-5712	59	35	and	and	CCONJ
ejpam-5712	59	36	the	the	DET
ejpam-5712	59	37	external	external	ADJ
ejpam-5712	59	38	force	force	NOUN
ejpam-5712	59	39	and	and	CCONJ
ejpam-5712	59	40	constant	constant	ADJ
ejpam-5712	59	41	torques	torque	NOUN
ejpam-5712	59	42	applied	apply	VERB
ejpam-5712	59	43	to	to	ADP
ejpam-5712	59	44	the	the	DET
ejpam-5712	59	45	body	body	NOUN
ejpam-5712	59	46	decrease	decrease	VERB
ejpam-5712	59	47	gradually	gradually	ADV
ejpam-5712	59	48	.	.	PUNCT
ejpam-5712	60	1	in	in	ADP
ejpam-5712	60	2	[	[	X
ejpam-5712	60	3	22	22	NUM
ejpam-5712	60	4	]	]	PUNCT
ejpam-5712	60	5	,	,	PUNCT
ejpam-5712	60	6	an	an	DET
ejpam-5712	60	7	examination	examination	NOUN
ejpam-5712	60	8	is	be	AUX
ejpam-5712	60	9	carried	carry	VERB
ejpam-5712	60	10	out	out	ADP
ejpam-5712	60	11	on	on	ADP
ejpam-5712	60	12	recurrent	recurrent	ADJ
ejpam-5712	60	13	patterns	pattern	NOUN
ejpam-5712	60	14	of	of	ADP
ejpam-5712	60	15	motion	motion	NOUN
ejpam-5712	60	16	in	in	ADP
ejpam-5712	60	17	a	a	DET
ejpam-5712	60	18	connected	connected	ADJ
ejpam-5712	60	19	gyrostat	gyrostat	NOUN
ejpam-5712	60	20	with	with	ADP
ejpam-5712	60	21	a	a	DET
ejpam-5712	60	22	spring	spring	NOUN
ejpam-5712	60	23	.	.	PUNCT
ejpam-5712	61	1	this	this	DET
ejpam-5712	61	2	gyrostat	gyrostat	NOUN
ejpam-5712	61	3	is	be	AUX
ejpam-5712	61	4	influenced	influence	VERB
ejpam-5712	61	5	by	by	ADP
ejpam-5712	61	6	a	a	DET
ejpam-5712	61	7	gm	gm	PROPN
ejpam-5712	61	8	vector	vector	NOUN
ejpam-5712	61	9	,	,	PUNCT
ejpam-5712	61	10	along	along	ADP
ejpam-5712	61	11	with	with	ADP
ejpam-5712	61	12	the	the	DET
ejpam-5712	61	13	forces	force	NOUN
ejpam-5712	61	14	from	from	ADP
ejpam-5712	61	15	an	an	DET
ejpam-5712	61	16	nf	nf	NOUN
ejpam-5712	61	17	and	and	CCONJ
ejpam-5712	61	18	a	a	DET
ejpam-5712	61	19	magnetic	magnetic	ADJ
ejpam-5712	61	20	one	one	NUM
ejpam-5712	61	21	.	.	PUNCT
ejpam-5712	62	1	the	the	DET
ejpam-5712	62	2	study	study	NOUN
ejpam-5712	62	3	’s	’s	PART
ejpam-5712	62	4	outcomes	outcome	NOUN
ejpam-5712	62	5	also	also	ADV
ejpam-5712	62	6	include	include	VERB
ejpam-5712	62	7	the	the	DET
ejpam-5712	62	8	formulation	formulation	NOUN
ejpam-5712	62	9	of	of	ADP
ejpam-5712	62	10	solutions	solution	NOUN
ejpam-5712	62	11	and	and	CCONJ
ejpam-5712	62	12	the	the	DET
ejpam-5712	62	13	generation	generation	NOUN
ejpam-5712	62	14	of	of	ADP
ejpam-5712	62	15	phase	phase	NOUN
ejpam-5712	62	16	diagrams	diagram	NOUN
ejpam-5712	62	17	,	,	PUNCT
ejpam-5712	62	18	which	which	PRON
ejpam-5712	62	19	vividly	vividly	ADV
ejpam-5712	62	20	illustrate	illustrate	VERB
ejpam-5712	62	21	the	the	DET
ejpam-5712	62	22	periodicity	periodicity	NOUN
ejpam-5712	62	23	and	and	CCONJ
ejpam-5712	62	24	stability	stability	NOUN
ejpam-5712	62	25	properties	property	NOUN
ejpam-5712	62	26	of	of	ADP
ejpam-5712	62	27	the	the	DET
ejpam-5712	62	28	solutions	solution	NOUN
ejpam-5712	62	29	.	.	PUNCT
ejpam-5712	63	1	in	in	ADP
ejpam-5712	63	2	[	[	X
ejpam-5712	63	3	6–12	6–12	NOUN
ejpam-5712	63	4	]	]	PUNCT
ejpam-5712	63	5	,	,	PUNCT
ejpam-5712	63	6	the	the	DET
ejpam-5712	63	7	authors	author	NOUN
ejpam-5712	63	8	approach	approach	VERB
ejpam-5712	63	9	a	a	DET
ejpam-5712	63	10	solution	solution	NOUN
ejpam-5712	63	11	for	for	ADP
ejpam-5712	63	12	euler	euler	PROPN
ejpam-5712	63	13	’s	’s	PART
ejpam-5712	63	14	equation	equation	NOUN
ejpam-5712	63	15	for	for	ADP
ejpam-5712	63	16	the	the	DET
ejpam-5712	63	17	rgb	rgb	PROPN
ejpam-5712	63	18	’s	’s	PART
ejpam-5712	63	19	motion	motion	NOUN
ejpam-5712	63	20	under	under	ADP
ejpam-5712	63	21	external	external	ADJ
ejpam-5712	63	22	torques	torque	NOUN
ejpam-5712	63	23	.	.	PUNCT
ejpam-5712	64	1	in	in	ADP
ejpam-5712	64	2	[	[	X
ejpam-5712	64	3	11	11	NUM
ejpam-5712	64	4	]	]	PUNCT
ejpam-5712	64	5	,	,	PUNCT
ejpam-5712	64	6	the	the	DET
ejpam-5712	64	7	solutions	solution	NOUN
ejpam-5712	64	8	for	for	ADP
ejpam-5712	64	9	the	the	DET
ejpam-5712	64	10	angular	angular	ADJ
ejpam-5712	64	11	velocities	velocity	NOUN
ejpam-5712	64	12	correspond	correspond	VERB
ejpam-5712	64	13	to	to	ADP
ejpam-5712	64	14	three	three	NUM
ejpam-5712	64	15	constant	constant	ADJ
ejpam-5712	64	16	torque	torque	NOUN
ejpam-5712	64	17	scenarios	scenario	NOUN
ejpam-5712	64	18	related	relate	VERB
ejpam-5712	64	19	to	to	ADP
ejpam-5712	64	20	the	the	DET
ejpam-5712	64	21	major	major	ADJ
ejpam-5712	64	22	,	,	PUNCT
ejpam-5712	64	23	minor	minor	ADJ
ejpam-5712	64	24	,	,	PUNCT
ejpam-5712	64	25	and	and	CCONJ
ejpam-5712	64	26	middle	middle	ADJ
ejpam-5712	64	27	axes	axis	NOUN
ejpam-5712	64	28	case	case	NOUN
ejpam-5712	64	29	.	.	PUNCT
ejpam-5712	65	1	in	in	ADP
ejpam-5712	65	2	[	[	X
ejpam-5712	65	3	10	10	NUM
ejpam-5712	65	4	]	]	PUNCT
ejpam-5712	65	5	,	,	PUNCT
ejpam-5712	65	6	in	in	ADP
ejpam-5712	65	7	addition	addition	NOUN
ejpam-5712	65	8	to	to	ADP
ejpam-5712	65	9	the	the	DET
ejpam-5712	65	10	solutions	solution	NOUN
ejpam-5712	65	11	for	for	ADP
ejpam-5712	65	12	the	the	DET
ejpam-5712	65	13	angular	angular	ADJ
ejpam-5712	65	14	velocities	velocity	NOUN
ejpam-5712	65	15	,	,	PUNCT
ejpam-5712	65	16	a	a	DET
ejpam-5712	65	17	solution	solution	NOUN
ejpam-5712	65	18	for	for	ADP
ejpam-5712	65	19	euler	euler	NOUN
ejpam-5712	65	20	angles	angle	NOUN
ejpam-5712	65	21	,	,	PUNCT
ejpam-5712	65	22	transverse	transverse	NOUN
ejpam-5712	65	23	and	and	CCONJ
ejpam-5712	65	24	axial	axial	ADJ
ejpam-5712	65	25	velocities	velocity	NOUN
ejpam-5712	65	26	,	,	PUNCT
ejpam-5712	65	27	and	and	CCONJ
ejpam-5712	65	28	displacement	displacement	NOUN
ejpam-5712	65	29	are	be	AUX
ejpam-5712	65	30	presented	present	VERB
ejpam-5712	65	31	.	.	PUNCT
ejpam-5712	66	1	in	in	ADP
ejpam-5712	66	2	[	[	X
ejpam-5712	66	3	9	9	NUM
ejpam-5712	66	4	]	]	PUNCT
ejpam-5712	66	5	,	,	PUNCT
ejpam-5712	66	6	the	the	DET
ejpam-5712	66	7	solution	solution	NOUN
ejpam-5712	66	8	is	be	AUX
ejpam-5712	66	9	presented	present	VERB
ejpam-5712	66	10	related	relate	VERB
ejpam-5712	66	11	to	to	ADP
ejpam-5712	66	12	time	time	NOUN
ejpam-5712	66	13	-	-	PUNCT
ejpam-5712	66	14	varying	vary	VERB
ejpam-5712	66	15	transverse	transverse	NOUN
ejpam-5712	66	16	torques	torque	NOUN
ejpam-5712	66	17	and	and	CCONJ
ejpam-5712	66	18	constant	constant	ADJ
ejpam-5712	66	19	axial	axial	ADJ
ejpam-5712	66	20	torque	torque	NOUN
ejpam-5712	66	21	.	.	PUNCT
ejpam-5712	67	1	in	in	ADP
ejpam-5712	67	2	[	[	X
ejpam-5712	67	3	7	7	NUM
ejpam-5712	67	4	]	]	PUNCT
ejpam-5712	67	5	,	,	PUNCT
ejpam-5712	67	6	the	the	DET
ejpam-5712	67	7	solution	solution	NOUN
ejpam-5712	67	8	is	be	AUX
ejpam-5712	67	9	approached	approach	VERB
ejpam-5712	67	10	for	for	ADP
ejpam-5712	67	11	a	a	DET
ejpam-5712	67	12	nearly	nearly	ADV
ejpam-5712	67	13	symmetric	symmetric	ADJ
ejpam-5712	67	14	model	model	NOUN
ejpam-5712	67	15	for	for	ADP
ejpam-5712	67	16	the	the	DET
ejpam-5712	67	17	rgb	rgb	PROPN
ejpam-5712	67	18	with	with	ADP
ejpam-5712	67	19	constant	constant	ADJ
ejpam-5712	67	20	torques	torque	NOUN
ejpam-5712	67	21	and	and	CCONJ
ejpam-5712	67	22	the	the	DET
ejpam-5712	67	23	gm	gm	PROPN
ejpam-5712	67	24	.	.	PUNCT
ejpam-5712	68	1	in	in	ADP
ejpam-5712	68	2	[	[	X
ejpam-5712	68	3	12	12	NUM
ejpam-5712	68	4	]	]	PUNCT
ejpam-5712	68	5	,	,	PUNCT
ejpam-5712	68	6	the	the	DET
ejpam-5712	68	7	krylov	krylov	NOUN
ejpam-5712	68	8	-	-	PUNCT
ejpam-5712	68	9	bogoliubov	bogoliubov	NOUN
ejpam-5712	68	10	-	-	PUNCT
ejpam-5712	68	11	mitropolski	mitropolski	NOUN
ejpam-5712	68	12	method	method	NOUN
ejpam-5712	68	13	is	be	AUX
ejpam-5712	68	14	used	use	VERB
ejpam-5712	68	15	to	to	PART
ejpam-5712	68	16	approach	approach	VERB
ejpam-5712	68	17	the	the	DET
ejpam-5712	68	18	solution	solution	NOUN
ejpam-5712	68	19	for	for	ADP
ejpam-5712	68	20	the	the	DET
ejpam-5712	68	21	motion	motion	NOUN
ejpam-5712	68	22	of	of	ADP
ejpam-5712	68	23	the	the	DET
ejpam-5712	68	24	rgb	rgb	PROPN
ejpam-5712	68	25	about	about	ADP
ejpam-5712	68	26	a	a	DET
ejpam-5712	68	27	fixed	fix	VERB
ejpam-5712	68	28	point	point	NOUN
ejpam-5712	68	29	in	in	ADP
ejpam-5712	68	30	which	which	PRON
ejpam-5712	68	31	the	the	DET
ejpam-5712	68	32	ellipsoid	ellipsoid	NOUN
ejpam-5712	68	33	of	of	ADP
ejpam-5712	68	34	inertia	inertia	NOUN
ejpam-5712	68	35	is	be	AUX
ejpam-5712	68	36	close	close	ADJ
ejpam-5712	68	37	to	to	ADP
ejpam-5712	68	38	the	the	DET
ejpam-5712	68	39	ellipsoid	ellipsoid	NOUN
ejpam-5712	68	40	of	of	ADP
ejpam-5712	68	41	rotation	rotation	NOUN
ejpam-5712	68	42	.	.	PUNCT
ejpam-5712	69	1	in	in	ADP
ejpam-5712	69	2	[	[	X
ejpam-5712	69	3	6	6	NUM
ejpam-5712	69	4	]	]	PUNCT
ejpam-5712	69	5	,	,	PUNCT
ejpam-5712	69	6	euler	euler	PROPN
ejpam-5712	69	7	-	-	PUNCT
ejpam-5712	69	8	poisson	poisson	PROPN
ejpam-5712	69	9	equations	equation	NOUN
ejpam-5712	69	10	are	be	AUX
ejpam-5712	69	11	solved	solve	VERB
ejpam-5712	69	12	through	through	ADP
ejpam-5712	69	13	the	the	DET
ejpam-5712	69	14	utilization	utilization	NOUN
ejpam-5712	69	15	of	of	ADP
ejpam-5712	69	16	poincaré	poincaré	NOUN
ejpam-5712	69	17	’s	’s	PART
ejpam-5712	69	18	small	small	ADJ
ejpam-5712	69	19	parameter	parameter	NOUN
ejpam-5712	69	20	method	method	NOUN
ejpam-5712	69	21	along	along	ADP
ejpam-5712	69	22	with	with	ADP
ejpam-5712	69	23	its	its	PRON
ejpam-5712	69	24	adaptations	adaptation	NOUN
ejpam-5712	69	25	when	when	SCONJ
ejpam-5712	69	26	the	the	DET
ejpam-5712	69	27	t.	t.	PROPN
ejpam-5712	69	28	s.	s.	PROPN
ejpam-5712	69	29	amer	amer	PROPN
ejpam-5712	69	30	et	et	PROPN
ejpam-5712	69	31	al	al	PROPN
ejpam-5712	69	32	.	.	PUNCT
ejpam-5712	69	33	/	/	SYM
ejpam-5712	69	34	eur	eur	PROPN
ejpam-5712	69	35	.	.	PUNCT
ejpam-5712	70	1	j.	j.	PROPN
ejpam-5712	70	2	pure	pure	PROPN
ejpam-5712	70	3	appl	appl	PROPN
ejpam-5712	70	4	.	.	PROPN
ejpam-5712	70	5	math	math	PROPN
ejpam-5712	70	6	,	,	PUNCT
ejpam-5712	70	7	18	18	NUM
ejpam-5712	70	8	(	(	PUNCT
ejpam-5712	70	9	1	1	NUM
ejpam-5712	70	10	)	)	PUNCT
ejpam-5712	70	11	(	(	PUNCT
ejpam-5712	70	12	2025	2025	NUM
ejpam-5712	70	13	)	)	PUNCT
ejpam-5712	70	14	,	,	PUNCT
ejpam-5712	70	15	5712	5712	NUM
ejpam-5712	70	16	4	4	NUM
ejpam-5712	70	17	of	of	ADP
ejpam-5712	70	18	14	14	NUM
ejpam-5712	70	19	scenario	scenario	NOUN
ejpam-5712	70	20	of	of	ADP
ejpam-5712	70	21	irrational	irrational	ADJ
ejpam-5712	70	22	frequencies	frequency	NOUN
ejpam-5712	70	23	is	be	AUX
ejpam-5712	70	24	considered	consider	VERB
ejpam-5712	70	25	.	.	PUNCT
ejpam-5712	71	1	in	in	ADP
ejpam-5712	71	2	[	[	X
ejpam-5712	71	3	8	8	NUM
ejpam-5712	71	4	]	]	PUNCT
ejpam-5712	71	5	,	,	PUNCT
ejpam-5712	71	6	euler	euler	PROPN
ejpam-5712	71	7	’s	’s	PART
ejpam-5712	71	8	equation	equation	NOUN
ejpam-5712	71	9	is	be	AUX
ejpam-5712	71	10	solved	solve	VERB
ejpam-5712	71	11	for	for	ADP
ejpam-5712	71	12	the	the	DET
ejpam-5712	71	13	case	case	NOUN
ejpam-5712	71	14	of	of	ADP
ejpam-5712	71	15	a	a	DET
ejpam-5712	71	16	rgb	rgb	PROPN
ejpam-5712	71	17	,	,	PUNCT
ejpam-5712	71	18	which	which	PRON
ejpam-5712	71	19	is	be	AUX
ejpam-5712	71	20	supposed	suppose	VERB
ejpam-5712	71	21	to	to	PART
ejpam-5712	71	22	have	have	VERB
ejpam-5712	71	23	a	a	DET
ejpam-5712	71	24	chamber	chamber	NOUN
ejpam-5712	71	25	with	with	ADP
ejpam-5712	71	26	a	a	DET
ejpam-5712	71	27	globular	globular	ADJ
ejpam-5712	71	28	shape	shape	NOUN
ejpam-5712	71	29	,	,	PUNCT
ejpam-5712	71	30	in	in	ADP
ejpam-5712	71	31	which	which	PRON
ejpam-5712	71	32	it	it	PRON
ejpam-5712	71	33	contains	contain	VERB
ejpam-5712	71	34	a	a	DET
ejpam-5712	71	35	moving	move	VERB
ejpam-5712	71	36	mass	mass	NOUN
ejpam-5712	71	37	and	and	CCONJ
ejpam-5712	71	38	is	be	AUX
ejpam-5712	71	39	filled	fill	VERB
ejpam-5712	71	40	with	with	ADP
ejpam-5712	71	41	a	a	DET
ejpam-5712	71	42	viscous	viscous	ADJ
ejpam-5712	71	43	liquid	liquid	NOUN
ejpam-5712	71	44	.	.	PUNCT
ejpam-5712	72	1	a	a	DET
ejpam-5712	72	2	new	new	ADJ
ejpam-5712	72	3	method	method	NOUN
ejpam-5712	72	4	for	for	ADP
ejpam-5712	72	5	solving	solve	VERB
ejpam-5712	72	6	the	the	DET
ejpam-5712	72	7	dynamics	dynamic	NOUN
ejpam-5712	72	8	equations	equation	NOUN
ejpam-5712	72	9	of	of	ADP
ejpam-5712	72	10	a	a	DET
ejpam-5712	72	11	charged	charge	VERB
ejpam-5712	72	12	particle	particle	NOUN
ejpam-5712	72	13	is	be	AUX
ejpam-5712	72	14	presented	present	VERB
ejpam-5712	72	15	in	in	ADP
ejpam-5712	72	16	[	[	X
ejpam-5712	72	17	14	14	NUM
ejpam-5712	72	18	]	]	PUNCT
ejpam-5712	72	19	.	.	PUNCT
ejpam-5712	73	1	this	this	DET
ejpam-5712	73	2	study	study	NOUN
ejpam-5712	73	3	utilized	utilize	VERB
ejpam-5712	73	4	a	a	DET
ejpam-5712	73	5	new	new	ADJ
ejpam-5712	73	6	procedure	procedure	NOUN
ejpam-5712	73	7	across	across	ADP
ejpam-5712	73	8	all	all	DET
ejpam-5712	73	9	these	these	DET
ejpam-5712	73	10	equations	equation	NOUN
ejpam-5712	73	11	,	,	PUNCT
ejpam-5712	73	12	including	include	VERB
ejpam-5712	73	13	the	the	DET
ejpam-5712	73	14	momentum	momentum	NOUN
ejpam-5712	73	15	equation	equation	NOUN
ejpam-5712	73	16	for	for	ADP
ejpam-5712	73	17	charged	charge	VERB
ejpam-5712	73	18	particle	particle	NOUN
ejpam-5712	73	19	dynamics	dynamic	NOUN
ejpam-5712	73	20	governed	govern	VERB
ejpam-5712	73	21	by	by	ADP
ejpam-5712	73	22	the	the	DET
ejpam-5712	73	23	lorentz	lorentz	PROPN
ejpam-5712	73	24	force	force	NOUN
ejpam-5712	73	25	in	in	ADP
ejpam-5712	73	26	a	a	DET
ejpam-5712	73	27	non	non	ADJ
ejpam-5712	73	28	-	-	ADJ
ejpam-5712	73	29	relativistic	relativistic	ADJ
ejpam-5712	73	30	framework	framework	NOUN
ejpam-5712	73	31	.	.	PUNCT
ejpam-5712	74	1	a	a	DET
ejpam-5712	74	2	novel	novel	ADJ
ejpam-5712	74	3	method	method	NOUN
ejpam-5712	74	4	for	for	ADP
ejpam-5712	74	5	solving	solve	VERB
ejpam-5712	74	6	the	the	DET
ejpam-5712	74	7	eom	eom	PROPN
ejpam-5712	74	8	for	for	ADP
ejpam-5712	74	9	a	a	DET
ejpam-5712	74	10	satellite	satellite	NOUN
ejpam-5712	74	11	in	in	ADP
ejpam-5712	74	12	trapped	trap	VERB
ejpam-5712	74	13	orbits	orbit	NOUN
ejpam-5712	74	14	is	be	AUX
ejpam-5712	74	15	presented	present	VERB
ejpam-5712	74	16	in	in	ADP
ejpam-5712	74	17	[	[	X
ejpam-5712	74	18	16	16	NUM
ejpam-5712	74	19	]	]	PUNCT
ejpam-5712	74	20	.	.	PUNCT
ejpam-5712	75	1	in	in	ADP
ejpam-5712	75	2	the	the	DET
ejpam-5712	75	3	case	case	NOUN
ejpam-5712	75	4	of	of	ADP
ejpam-5712	75	5	the	the	DET
ejpam-5712	75	6	elliptic	elliptic	ADJ
ejpam-5712	75	7	restricted	restrict	VERB
ejpam-5712	75	8	three	three	NUM
ejpam-5712	75	9	-	-	PUNCT
ejpam-5712	75	10	body	body	NOUN
ejpam-5712	75	11	problem	problem	NOUN
ejpam-5712	75	12	,	,	PUNCT
ejpam-5712	75	13	the	the	DET
ejpam-5712	75	14	satellite	satellite	NOUN
ejpam-5712	75	15	is	be	AUX
ejpam-5712	75	16	ensnared	ensnare	VERB
ejpam-5712	75	17	in	in	ADP
ejpam-5712	75	18	a	a	DET
ejpam-5712	75	19	spatial	spatial	ADJ
ejpam-5712	75	20	trap	trap	NOUN
ejpam-5712	75	21	and	and	CCONJ
ejpam-5712	75	22	moves	move	NOUN
ejpam-5712	75	23	in	in	ADP
ejpam-5712	75	24	close	close	ADJ
ejpam-5712	75	25	proximity	proximity	NOUN
ejpam-5712	75	26	to	to	ADP
ejpam-5712	75	27	the	the	DET
ejpam-5712	75	28	planet	planet	NOUN
ejpam-5712	75	29	.	.	PUNCT
ejpam-5712	76	1	in	in	ADP
ejpam-5712	76	2	order	order	NOUN
ejpam-5712	76	3	to	to	PART
ejpam-5712	76	4	determine	determine	VERB
ejpam-5712	76	5	the	the	DET
ejpam-5712	76	6	coordinates	coordinate	NOUN
ejpam-5712	76	7	of	of	ADP
ejpam-5712	76	8	a	a	DET
ejpam-5712	76	9	satellite	satellite	NOUN
ejpam-5712	76	10	with	with	ADP
ejpam-5712	76	11	an	an	DET
ejpam-5712	76	12	orbit	orbit	NOUN
ejpam-5712	76	13	close	close	ADJ
ejpam-5712	76	14	to	to	ADP
ejpam-5712	76	15	the	the	DET
ejpam-5712	76	16	planet	planet	NOUN
ejpam-5712	76	17	,	,	PUNCT
ejpam-5712	76	18	a	a	DET
ejpam-5712	76	19	novel	novel	ADJ
ejpam-5712	76	20	kind	kind	NOUN
ejpam-5712	76	21	of	of	ADP
ejpam-5712	76	22	solving	solving	NOUN
ejpam-5712	76	23	process	process	NOUN
ejpam-5712	76	24	is	be	AUX
ejpam-5712	76	25	used	use	VERB
ejpam-5712	76	26	here	here	ADV
ejpam-5712	76	27	.	.	PUNCT
ejpam-5712	77	1	the	the	DET
ejpam-5712	77	2	system	system	NOUN
ejpam-5712	77	3	of	of	ADP
ejpam-5712	77	4	eom	eom	PROPN
ejpam-5712	77	5	was	be	AUX
ejpam-5712	77	6	utilized	utilize	VERB
ejpam-5712	77	7	to	to	PART
ejpam-5712	77	8	achieve	achieve	VERB
ejpam-5712	77	9	the	the	DET
ejpam-5712	77	10	analytic	analytic	ADJ
ejpam-5712	77	11	and	and	CCONJ
ejpam-5712	77	12	semi	semi	ADJ
ejpam-5712	77	13	-	-	ADJ
ejpam-5712	77	14	analytical	analytical	ADJ
ejpam-5712	77	15	solutions	solution	NOUN
ejpam-5712	77	16	.	.	PUNCT
ejpam-5712	78	1	in	in	ADP
ejpam-5712	78	2	[	[	X
ejpam-5712	78	3	15	15	NUM
ejpam-5712	78	4	,	,	PUNCT
ejpam-5712	78	5	18	18	NUM
ejpam-5712	78	6	]	]	PUNCT
ejpam-5712	78	7	,	,	PUNCT
ejpam-5712	78	8	the	the	DET
ejpam-5712	78	9	analytical	analytical	ADJ
ejpam-5712	78	10	approach	approach	NOUN
ejpam-5712	78	11	to	to	ADP
ejpam-5712	78	12	the	the	DET
ejpam-5712	78	13	study	study	NOUN
ejpam-5712	78	14	of	of	ADP
ejpam-5712	78	15	mathematical	mathematical	ADJ
ejpam-5712	78	16	models	model	NOUN
ejpam-5712	78	17	in	in	ADP
ejpam-5712	78	18	applications	application	NOUN
ejpam-5712	78	19	to	to	ADP
ejpam-5712	78	20	various	various	ADJ
ejpam-5712	78	21	non	non	ADJ
ejpam-5712	78	22	-	-	ADJ
ejpam-5712	78	23	linear	linear	ADJ
ejpam-5712	78	24	problems	problem	NOUN
ejpam-5712	78	25	in	in	ADP
ejpam-5712	78	26	celestial	celestial	ADJ
ejpam-5712	78	27	mechanics	mechanic	NOUN
ejpam-5712	78	28	,	,	PUNCT
ejpam-5712	78	29	along	along	ADP
ejpam-5712	78	30	with	with	ADP
ejpam-5712	78	31	the	the	DET
ejpam-5712	78	32	dynamics	dynamic	NOUN
ejpam-5712	78	33	of	of	ADP
ejpam-5712	78	34	rgb	rgb	PROPN
ejpam-5712	78	35	rotation	rotation	NOUN
ejpam-5712	78	36	,	,	PUNCT
ejpam-5712	78	37	has	have	AUX
ejpam-5712	78	38	been	be	AUX
ejpam-5712	78	39	presented	present	VERB
ejpam-5712	78	40	.	.	PUNCT
ejpam-5712	79	1	the	the	DET
ejpam-5712	79	2	author	author	NOUN
ejpam-5712	79	3	drew	draw	VERB
ejpam-5712	79	4	our	our	PRON
ejpam-5712	79	5	attention	attention	NOUN
ejpam-5712	79	6	to	to	ADP
ejpam-5712	79	7	an	an	DET
ejpam-5712	79	8	approach	approach	NOUN
ejpam-5712	79	9	to	to	ADP
ejpam-5712	79	10	solving	solve	VERB
ejpam-5712	79	11	the	the	DET
ejpam-5712	79	12	dynamic	dynamic	ADJ
ejpam-5712	79	13	motion	motion	NOUN
ejpam-5712	79	14	of	of	ADP
ejpam-5712	79	15	celestial	celestial	ADJ
ejpam-5712	79	16	bodies	body	NOUN
ejpam-5712	79	17	like	like	ADP
ejpam-5712	79	18	asteroids	asteroid	NOUN
ejpam-5712	79	19	,	,	PUNCT
ejpam-5712	79	20	which	which	PRON
ejpam-5712	79	21	will	will	AUX
ejpam-5712	79	22	be	be	AUX
ejpam-5712	79	23	considered	consider	VERB
ejpam-5712	79	24	in	in	ADP
ejpam-5712	79	25	our	our	PRON
ejpam-5712	79	26	future	future	ADJ
ejpam-5712	79	27	work	work	NOUN
ejpam-5712	79	28	.	.	PUNCT
ejpam-5712	80	1	this	this	DET
ejpam-5712	80	2	study	study	NOUN
ejpam-5712	80	3	explores	explore	VERB
ejpam-5712	80	4	the	the	DET
ejpam-5712	80	5	dynamical	dynamical	ADJ
ejpam-5712	80	6	behavior	behavior	NOUN
ejpam-5712	80	7	of	of	ADP
ejpam-5712	80	8	a	a	DET
ejpam-5712	80	9	rgb	rgb	PROPN
ejpam-5712	80	10	influenced	influence	VERB
ejpam-5712	80	11	by	by	ADP
ejpam-5712	80	12	a	a	DET
ejpam-5712	80	13	gm	gm	PROPN
ejpam-5712	80	14	.	.	PUNCT
ejpam-5712	81	1	it	it	PRON
ejpam-5712	81	2	is	be	AUX
ejpam-5712	81	3	assumed	assume	VERB
ejpam-5712	81	4	that	that	SCONJ
ejpam-5712	81	5	the	the	DET
ejpam-5712	81	6	rgb	rgb	PROPN
ejpam-5712	81	7	’s	’s	PART
ejpam-5712	81	8	center	center	NOUN
ejpam-5712	81	9	of	of	ADP
ejpam-5712	81	10	mass	mass	NOUN
ejpam-5712	81	11	lies	lie	VERB
ejpam-5712	81	12	in	in	ADP
ejpam-5712	81	13	the	the	DET
ejpam-5712	81	14	meridional	meridional	ADJ
ejpam-5712	81	15	plane	plane	NOUN
ejpam-5712	81	16	along	along	ADP
ejpam-5712	81	17	its	its	PRON
ejpam-5712	81	18	inertia	inertia	NOUN
ejpam-5712	81	19	principal	principal	NOUN
ejpam-5712	81	20	axis	axis	NOUN
ejpam-5712	81	21	.	.	PUNCT
ejpam-5712	82	1	by	by	ADP
ejpam-5712	82	2	incorporating	incorporate	VERB
ejpam-5712	82	3	certain	certain	ADJ
ejpam-5712	82	4	algebraic	algebraic	ADJ
ejpam-5712	82	5	assumptions	assumption	NOUN
ejpam-5712	82	6	about	about	ADP
ejpam-5712	82	7	moments	moment	NOUN
ejpam-5712	82	8	of	of	ADP
ejpam-5712	82	9	inertia	inertia	NOUN
ejpam-5712	82	10	,	,	PUNCT
ejpam-5712	82	11	we	we	PRON
ejpam-5712	82	12	arrive	arrive	VERB
ejpam-5712	82	13	at	at	ADP
ejpam-5712	82	14	the	the	DET
ejpam-5712	82	15	obtained	obtain	VERB
ejpam-5712	82	16	solution	solution	NOUN
ejpam-5712	82	17	.	.	PUNCT
ejpam-5712	83	1	the	the	DET
ejpam-5712	83	2	subsequent	subsequent	ADJ
ejpam-5712	83	3	sections	section	NOUN
ejpam-5712	83	4	of	of	ADP
ejpam-5712	83	5	this	this	DET
ejpam-5712	83	6	paper	paper	NOUN
ejpam-5712	83	7	visually	visually	ADV
ejpam-5712	83	8	depict	depict	VERB
ejpam-5712	83	9	this	this	DET
ejpam-5712	83	10	solution	solution	NOUN
ejpam-5712	83	11	to	to	PART
ejpam-5712	83	12	illustrate	illustrate	VERB
ejpam-5712	83	13	the	the	DET
ejpam-5712	83	14	behavior	behavior	NOUN
ejpam-5712	83	15	of	of	ADP
ejpam-5712	83	16	the	the	DET
ejpam-5712	83	17	body	body	NOUN
ejpam-5712	83	18	’s	’s	PART
ejpam-5712	83	19	motion	motion	NOUN
ejpam-5712	83	20	within	within	ADP
ejpam-5712	83	21	the	the	DET
ejpam-5712	83	22	gm	gm	PROPN
ejpam-5712	83	23	.	.	PUNCT
ejpam-5712	84	1	as	as	ADP
ejpam-5712	84	2	a	a	DET
ejpam-5712	84	3	result	result	NOUN
ejpam-5712	84	4	,	,	PUNCT
ejpam-5712	84	5	this	this	DET
ejpam-5712	84	6	study	study	NOUN
ejpam-5712	84	7	can	can	AUX
ejpam-5712	84	8	be	be	AUX
ejpam-5712	84	9	seen	see	VERB
ejpam-5712	84	10	as	as	ADP
ejpam-5712	84	11	a	a	DET
ejpam-5712	84	12	new	new	ADJ
ejpam-5712	84	13	modification	modification	NOUN
ejpam-5712	84	14	of	of	ADP
ejpam-5712	84	15	euler	euler	PROPN
ejpam-5712	84	16	’s	’s	PART
ejpam-5712	84	17	framework	framework	NOUN
ejpam-5712	84	18	concerning	concern	VERB
ejpam-5712	84	19	the	the	DET
ejpam-5712	84	20	motion	motion	NOUN
ejpam-5712	84	21	of	of	ADP
ejpam-5712	84	22	rgbs	rgbs	NOUN
ejpam-5712	84	23	under	under	ADP
ejpam-5712	84	24	external	external	ADJ
ejpam-5712	84	25	torques	torque	NOUN
ejpam-5712	84	26	.	.	PUNCT
ejpam-5712	85	1	researchers	researcher	NOUN
ejpam-5712	85	2	may	may	AUX
ejpam-5712	85	3	acquire	acquire	VERB
ejpam-5712	85	4	a	a	DET
ejpam-5712	85	5	better	well	ADJ
ejpam-5712	85	6	understanding	understanding	NOUN
ejpam-5712	85	7	of	of	ADP
ejpam-5712	85	8	the	the	DET
ejpam-5712	85	9	conservation	conservation	NOUN
ejpam-5712	85	10	and	and	CCONJ
ejpam-5712	85	11	equilibrium	equilibrium	NOUN
ejpam-5712	85	12	of	of	ADP
ejpam-5712	85	13	angular	angular	ADJ
ejpam-5712	85	14	momentum	momentum	NOUN
ejpam-5712	85	15	in	in	ADP
ejpam-5712	85	16	computational	computational	ADJ
ejpam-5712	85	17	physics	physics	NOUN
ejpam-5712	85	18	and	and	CCONJ
ejpam-5712	85	19	mechanical	mechanical	ADJ
ejpam-5712	85	20	engineering	engineering	NOUN
ejpam-5712	85	21	by	by	ADP
ejpam-5712	85	22	solving	solve	VERB
ejpam-5712	85	23	euler	euler	PROPN
ejpam-5712	85	24	’s	’s	PART
ejpam-5712	85	25	equations	equation	NOUN
ejpam-5712	85	26	,	,	PUNCT
ejpam-5712	85	27	particularly	particularly	ADV
ejpam-5712	85	28	in	in	ADP
ejpam-5712	85	29	situations	situation	NOUN
ejpam-5712	85	30	where	where	SCONJ
ejpam-5712	85	31	objects	object	NOUN
ejpam-5712	85	32	are	be	AUX
ejpam-5712	85	33	affected	affect	VERB
ejpam-5712	85	34	at	at	ADP
ejpam-5712	85	35	both	both	CCONJ
ejpam-5712	85	36	microscopic	microscopic	ADJ
ejpam-5712	85	37	and	and	CCONJ
ejpam-5712	85	38	tiny	tiny	ADJ
ejpam-5712	85	39	scales	scale	NOUN
ejpam-5712	85	40	by	by	ADP
ejpam-5712	85	41	external	external	ADJ
ejpam-5712	85	42	fields	field	NOUN
ejpam-5712	85	43	such	such	ADJ
ejpam-5712	85	44	as	as	ADP
ejpam-5712	85	45	electromagnetic	electromagnetic	ADJ
ejpam-5712	85	46	,	,	PUNCT
ejpam-5712	85	47	newtonian	newtonian	ADJ
ejpam-5712	85	48	,	,	PUNCT
ejpam-5712	85	49	or	or	CCONJ
ejpam-5712	85	50	gravitational	gravitational	ADJ
ejpam-5712	85	51	fields	field	NOUN
ejpam-5712	85	52	.	.	PUNCT
ejpam-5712	86	1	control	control	NOUN
ejpam-5712	86	2	,	,	PUNCT
ejpam-5712	86	3	transportation	transportation	NOUN
ejpam-5712	86	4	,	,	PUNCT
ejpam-5712	86	5	and	and	CCONJ
ejpam-5712	86	6	stabilization	stabilization	NOUN
ejpam-5712	86	7	of	of	ADP
ejpam-5712	86	8	satellites	satellite	NOUN
ejpam-5712	86	9	depend	depend	VERB
ejpam-5712	86	10	on	on	ADP
ejpam-5712	86	11	proper	proper	ADJ
ejpam-5712	86	12	satellite	satellite	NOUN
ejpam-5712	86	13	rotation	rotation	NOUN
ejpam-5712	86	14	modeling	modeling	NOUN
ejpam-5712	86	15	,	,	PUNCT
ejpam-5712	86	16	which	which	PRON
ejpam-5712	86	17	is	be	AUX
ejpam-5712	86	18	made	make	VERB
ejpam-5712	86	19	possible	possible	ADJ
ejpam-5712	86	20	by	by	ADP
ejpam-5712	86	21	the	the	DET
ejpam-5712	86	22	resulting	result	VERB
ejpam-5712	86	23	solution	solution	NOUN
ejpam-5712	86	24	of	of	ADP
ejpam-5712	86	25	euler	euler	PROPN
ejpam-5712	86	26	’s	’s	PART
ejpam-5712	86	27	equations	equation	NOUN
ejpam-5712	86	28	in	in	ADP
ejpam-5712	86	29	the	the	DET
ejpam-5712	86	30	aerospace	aerospace	NOUN
ejpam-5712	86	31	industry	industry	NOUN
ejpam-5712	86	32	.	.	PUNCT
ejpam-5712	87	1	designers	designer	NOUN
ejpam-5712	87	2	may	may	AUX
ejpam-5712	87	3	develop	develop	VERB
ejpam-5712	87	4	manipulators	manipulator	NOUN
ejpam-5712	87	5	and	and	CCONJ
ejpam-5712	87	6	mobile	mobile	NOUN
ejpam-5712	87	7	robots	robot	NOUN
ejpam-5712	87	8	with	with	ADP
ejpam-5712	87	9	precise	precise	ADJ
ejpam-5712	87	10	movement	movement	NOUN
ejpam-5712	87	11	by	by	ADP
ejpam-5712	87	12	understanding	understand	VERB
ejpam-5712	87	13	how	how	SCONJ
ejpam-5712	87	14	rigid	rigid	ADJ
ejpam-5712	87	15	things	thing	NOUN
ejpam-5712	87	16	rotate	rotate	VERB
ejpam-5712	87	17	.	.	PUNCT
ejpam-5712	88	1	2	2	X
ejpam-5712	88	2	.	.	X
ejpam-5712	88	3	the	the	DET
ejpam-5712	88	4	controlling	control	VERB
ejpam-5712	88	5	equation	equation	NOUN
ejpam-5712	88	6	of	of	ADP
ejpam-5712	88	7	motion	motion	NOUN
ejpam-5712	88	8	let	let	VERB
ejpam-5712	88	9	’s	’s	PRON
ejpam-5712	88	10	begin	begin	VERB
ejpam-5712	88	11	by	by	ADP
ejpam-5712	88	12	examining	examine	VERB
ejpam-5712	88	13	the	the	DET
ejpam-5712	88	14	rotatory	rotatory	ADJ
ejpam-5712	88	15	movement	movement	NOUN
ejpam-5712	88	16	of	of	ADP
ejpam-5712	88	17	a	a	DET
ejpam-5712	88	18	heavy	heavy	ADJ
ejpam-5712	88	19	rgb	rgb	PROPN
ejpam-5712	88	20	of	of	ADP
ejpam-5712	88	21	mass	mass	PROPN
ejpam-5712	88	22	m	m	PROPN
ejpam-5712	88	23	that	that	PRON
ejpam-5712	88	24	revolves	revolve	VERB
ejpam-5712	88	25	around	around	ADP
ejpam-5712	88	26	a	a	DET
ejpam-5712	88	27	stationary	stationary	ADJ
ejpam-5712	88	28	point	point	NOUN
ejpam-5712	88	29	o	o	NOUN
ejpam-5712	88	30	inside	inside	ADP
ejpam-5712	88	31	the	the	DET
ejpam-5712	88	32	rgb	rgb	PROPN
ejpam-5712	88	33	under	under	ADP
ejpam-5712	88	34	the	the	DET
ejpam-5712	88	35	implications	implication	NOUN
ejpam-5712	88	36	of	of	ADP
ejpam-5712	88	37	a	a	DET
ejpam-5712	88	38	gm	gm	PROPN
ejpam-5712	88	39	vector	vector	NOUN
ejpam-5712	88	40	whose	whose	DET
ejpam-5712	88	41	components	component	NOUN
ejpam-5712	88	42	are	be	AUX
ejpam-5712	88	43	ℓ1	ℓ1	VERB
ejpam-5712	88	44	,	,	PUNCT
ejpam-5712	88	45	ℓ2	ℓ2	NOUN
ejpam-5712	88	46	,	,	PUNCT
ejpam-5712	88	47	and	and	CCONJ
ejpam-5712	88	48	ℓ3	ℓ3	PROPN
ejpam-5712	88	49	.	.	PUNCT
ejpam-5712	89	1	let	let	VERB
ejpam-5712	89	2	’s	’s	PRON
ejpam-5712	89	3	take	take	VERB
ejpam-5712	89	4	into	into	ADP
ejpam-5712	89	5	consideration	consideration	NOUN
ejpam-5712	89	6	two	two	NUM
ejpam-5712	89	7	frames	frame	NOUN
ejpam-5712	89	8	respected	respect	VERB
ejpam-5712	89	9	to	to	ADP
ejpam-5712	89	10	the	the	DET
ejpam-5712	89	11	body	body	NOUN
ejpam-5712	89	12	:	:	PUNCT
ejpam-5712	89	13	oxy	oxy	PROPN
ejpam-5712	89	14	z	z	PROPN
ejpam-5712	89	15	is	be	AUX
ejpam-5712	89	16	the	the	DET
ejpam-5712	89	17	fixed	fix	VERB
ejpam-5712	89	18	frame	frame	NOUN
ejpam-5712	89	19	while	while	SCONJ
ejpam-5712	89	20	oxyz	oxyz	VERB
ejpam-5712	89	21	is	be	AUX
ejpam-5712	89	22	the	the	DET
ejpam-5712	89	23	rotating	rotate	VERB
ejpam-5712	89	24	frame	frame	NOUN
ejpam-5712	89	25	,	,	PUNCT
ejpam-5712	89	26	and	and	CCONJ
ejpam-5712	89	27	they	they	PRON
ejpam-5712	89	28	are	be	AUX
ejpam-5712	89	29	stationed	station	VERB
ejpam-5712	89	30	at	at	ADP
ejpam-5712	89	31	the	the	DET
ejpam-5712	89	32	origin	origin	NOUN
ejpam-5712	90	1	o.	o.	NOUN
ejpam-5712	90	2	suppose	suppose	VERB
ejpam-5712	90	3	that	that	SCONJ
ejpam-5712	90	4	(	(	PUNCT
ejpam-5712	90	5	p	p	X
ejpam-5712	90	6	,	,	PUNCT
ejpam-5712	90	7	q	q	ADJ
ejpam-5712	90	8	,	,	PUNCT
ejpam-5712	90	9	r	r	NOUN
ejpam-5712	90	10	)	)	PUNCT
ejpam-5712	90	11	symbolize	symbolize	NOUN
ejpam-5712	90	12	the	the	DET
ejpam-5712	90	13	projections	projection	NOUN
ejpam-5712	90	14	of	of	ADP
ejpam-5712	90	15	the	the	DET
ejpam-5712	90	16	rgb	rgb	PROPN
ejpam-5712	90	17	’s	’s	PART
ejpam-5712	90	18	angular	angular	ADJ
ejpam-5712	90	19	velocity	velocity	NOUN
ejpam-5712	90	20	on	on	ADP
ejpam-5712	90	21	the	the	DET
ejpam-5712	90	22	inertia	inertia	NOUN
ejpam-5712	90	23	’s	’s	PART
ejpam-5712	90	24	main	main	ADJ
ejpam-5712	90	25	axes	axis	NOUN
ejpam-5712	90	26	and	and	CCONJ
ejpam-5712	90	27	γ̂	γ̂	NUM
ejpam-5712	90	28	=	=	SYM
ejpam-5712	90	29	(	(	PUNCT
ejpam-5712	90	30	γ1	γ1	PROPN
ejpam-5712	90	31	,	,	PUNCT
ejpam-5712	90	32	γ2	γ2	PROPN
ejpam-5712	90	33	,	,	PUNCT
ejpam-5712	90	34	γ3	γ3	NOUN
ejpam-5712	90	35	)	)	PUNCT
ejpam-5712	90	36	corresponds	correspond	VERB
ejpam-5712	90	37	to	to	ADP
ejpam-5712	90	38	the	the	DET
ejpam-5712	90	39	directed	direct	VERB
ejpam-5712	90	40	unit	unit	NOUN
ejpam-5712	90	41	vector	vector	NOUN
ejpam-5712	90	42	on	on	ADP
ejpam-5712	90	43	the	the	DET
ejpam-5712	90	44	fixed	fixed	ADJ
ejpam-5712	90	45	z	z	NOUN
ejpam-5712	90	46	-	-	PUNCT
ejpam-5712	90	47	axis	axis	NOUN
ejpam-5712	90	48	as	as	SCONJ
ejpam-5712	90	49	revealed	reveal	VERB
ejpam-5712	90	50	in	in	ADP
ejpam-5712	90	51	figure	figure	NOUN
ejpam-5712	90	52	1	1	NUM
ejpam-5712	90	53	.	.	PUNCT
ejpam-5712	91	1	the	the	DET
ejpam-5712	91	2	controlling	control	VERB
ejpam-5712	91	3	eom	eom	PROPN
ejpam-5712	91	4	are	be	AUX
ejpam-5712	91	5	t.	t.	PROPN
ejpam-5712	91	6	s.	s.	PROPN
ejpam-5712	91	7	amer	amer	PROPN
ejpam-5712	91	8	et	et	PROPN
ejpam-5712	91	9	al	al	PROPN
ejpam-5712	91	10	.	.	PUNCT
ejpam-5712	91	11	/	/	SYM
ejpam-5712	91	12	eur	eur	PROPN
ejpam-5712	91	13	.	.	PUNCT
ejpam-5712	92	1	j.	j.	PROPN
ejpam-5712	92	2	pure	pure	PROPN
ejpam-5712	92	3	appl	appl	PROPN
ejpam-5712	92	4	.	.	PROPN
ejpam-5712	92	5	math	math	PROPN
ejpam-5712	92	6	,	,	PUNCT
ejpam-5712	92	7	18	18	NUM
ejpam-5712	92	8	(	(	PUNCT
ejpam-5712	92	9	1	1	NUM
ejpam-5712	92	10	)	)	PUNCT
ejpam-5712	92	11	(	(	PUNCT
ejpam-5712	92	12	2025	2025	NUM
ejpam-5712	92	13	)	)	PUNCT
ejpam-5712	92	14	,	,	PUNCT
ejpam-5712	92	15	5712	5712	NUM
ejpam-5712	92	16	5	5	NUM
ejpam-5712	92	17	of	of	ADP
ejpam-5712	92	18	14	14	NUM
ejpam-5712	92	19	figure	figure	NOUN
ejpam-5712	92	20	1	1	NUM
ejpam-5712	92	21	:	:	PUNCT
ejpam-5712	92	22	the	the	DET
ejpam-5712	92	23	simulation	simulation	NOUN
ejpam-5712	92	24	of	of	ADP
ejpam-5712	92	25	rgb	rgb	PROPN
ejpam-5712	92	26	’s	’s	PART
ejpam-5712	92	27	model	model	NOUN
ejpam-5712	92	28	.	.	PUNCT
ejpam-5712	92	29	expressed	express	VERB
ejpam-5712	92	30	below	below	ADP
ejpam-5712	92	31	[	[	X
ejpam-5712	92	32	17	17	NUM
ejpam-5712	92	33	,	,	PUNCT
ejpam-5712	92	34	34	34	NUM
ejpam-5712	92	35	]	]	PUNCT
ejpam-5712	92	36	aṗ+	aṗ+	NOUN
ejpam-5712	92	37	(	(	PUNCT
ejpam-5712	92	38	c	c	NOUN
ejpam-5712	92	39	−b)qr	−b)qr	X
ejpam-5712	93	1	+	+	CCONJ
ejpam-5712	93	2	ℓ3q	ℓ3q	ADJ
ejpam-5712	93	3	−	−	NOUN
ejpam-5712	93	4	ℓ2r	ℓ2r	NOUN
ejpam-5712	93	5	=	=	PUNCT
ejpam-5712	93	6	mg(γ2z0	mg(γ2z0	PRON
ejpam-5712	93	7	−	−	NOUN
ejpam-5712	93	8	γ3y0	γ3y0	NOUN
ejpam-5712	93	9	)	)	PUNCT
ejpam-5712	93	10	,	,	PUNCT
ejpam-5712	93	11	bq̇	bq̇	PUNCT
ejpam-5712	94	1	+	+	CCONJ
ejpam-5712	94	2	(	(	PUNCT
ejpam-5712	94	3	a−	a−	PROPN
ejpam-5712	94	4	c)rp+	c)rp+	VERB
ejpam-5712	94	5	ℓ1r	ℓ1r	PROPN
ejpam-5712	94	6	−	−	PROPN
ejpam-5712	95	1	ℓ3p	ℓ3p	X
ejpam-5712	95	2	=	=	PUNCT
ejpam-5712	95	3	mg(γ3x0	mg(γ3x0	PROPN
ejpam-5712	95	4	−	−	PROPN
ejpam-5712	95	5	γ1z0	γ1z0	NOUN
ejpam-5712	95	6	)	)	PUNCT
ejpam-5712	95	7	,	,	PUNCT
ejpam-5712	95	8	cṙ	cṙ	VERB
ejpam-5712	95	9	+	+	CCONJ
ejpam-5712	95	10	(	(	PUNCT
ejpam-5712	95	11	b	b	NOUN
ejpam-5712	95	12	−a)pq	−a)pq	NOUN
ejpam-5712	95	13	+	+	X
ejpam-5712	95	14	ℓ2p−	ℓ2p−	X
ejpam-5712	95	15	ℓ1q	ℓ1q	PROPN
ejpam-5712	95	16	=	=	SYM
ejpam-5712	95	17	mg(γ1y0	mg(γ1y0	PROPN
ejpam-5712	95	18	−	−	PROPN
ejpam-5712	95	19	γ2x0	γ2x0	NOUN
ejpam-5712	95	20	)	)	PUNCT
ejpam-5712	95	21	,	,	PUNCT
ejpam-5712	95	22	(	(	PUNCT
ejpam-5712	95	23	1	1	X
ejpam-5712	95	24	)	)	PUNCT
ejpam-5712	95	25	with	with	ADP
ejpam-5712	95	26	γ̇1	γ̇1	PROPN
ejpam-5712	95	27	=	=	SYM
ejpam-5712	95	28	rγ2	rγ2	NOUN
ejpam-5712	96	1	−	−	NOUN
ejpam-5712	97	1	qγ3	qγ3	NOUN
ejpam-5712	97	2	,	,	PUNCT
ejpam-5712	97	3	γ̇2	γ̇2	PROPN
ejpam-5712	97	4	=	=	PUNCT
ejpam-5712	97	5	pγ3	pγ3	NOUN
ejpam-5712	97	6	−	−	PROPN
ejpam-5712	97	7	rγ1	rγ1	PROPN
ejpam-5712	97	8	,	,	PUNCT
ejpam-5712	97	9	γ̇3	γ̇3	PROPN
ejpam-5712	97	10	=	=	PUNCT
ejpam-5712	97	11	qγ1	qγ1	PROPN
ejpam-5712	97	12	−	−	PROPN
ejpam-5712	97	13	pγ2	pγ2	PROPN
ejpam-5712	97	14	,	,	PUNCT
ejpam-5712	97	15	(	(	PUNCT
ejpam-5712	97	16	2	2	X
ejpam-5712	97	17	)	)	PUNCT
ejpam-5712	97	18	where	where	SCONJ
ejpam-5712	97	19	(	(	PUNCT
ejpam-5712	97	20	a	a	DET
ejpam-5712	97	21	,	,	PUNCT
ejpam-5712	97	22	b	b	NOUN
ejpam-5712	97	23	,	,	PUNCT
ejpam-5712	97	24	c	c	NOUN
ejpam-5712	97	25	)	)	PUNCT
ejpam-5712	97	26	represent	represent	VERB
ejpam-5712	97	27	the	the	DET
ejpam-5712	97	28	rgb	rgb	PROPN
ejpam-5712	97	29	’s	’s	PART
ejpam-5712	97	30	main	main	ADJ
ejpam-5712	97	31	inertia	inertia	NOUN
ejpam-5712	97	32	moments	moment	NOUN
ejpam-5712	97	33	,	,	PUNCT
ejpam-5712	97	34	g	g	PROPN
ejpam-5712	97	35	is	be	AUX
ejpam-5712	97	36	the	the	DET
ejpam-5712	97	37	acceleration	acceleration	NOUN
ejpam-5712	97	38	due	due	ADP
ejpam-5712	97	39	to	to	ADP
ejpam-5712	97	40	the	the	DET
ejpam-5712	97	41	gravity	gravity	NOUN
ejpam-5712	97	42	,	,	PUNCT
ejpam-5712	97	43	r0	r0	NOUN
ejpam-5712	97	44	=	=	SYM
ejpam-5712	97	45	(	(	PUNCT
ejpam-5712	97	46	x0	x0	PROPN
ejpam-5712	97	47	,	,	PUNCT
ejpam-5712	97	48	y0	y0	PROPN
ejpam-5712	97	49	,	,	PUNCT
ejpam-5712	97	50	z0	z0	PROPN
ejpam-5712	97	51	)	)	PUNCT
ejpam-5712	97	52	is	be	AUX
ejpam-5712	97	53	the	the	DET
ejpam-5712	97	54	mass	mass	ADJ
ejpam-5712	97	55	center	center	NOUN
ejpam-5712	97	56	position	position	NOUN
ejpam-5712	97	57	vector	vector	NOUN
ejpam-5712	97	58	in	in	ADP
ejpam-5712	97	59	the	the	DET
ejpam-5712	97	60	coordinates	coordinate	NOUN
ejpam-5712	97	61	oxyz	oxyz	PROPN
ejpam-5712	97	62	,	,	PUNCT
ejpam-5712	97	63	the	the	DET
ejpam-5712	97	64	over	over	NOUN
ejpam-5712	97	65	-	-	PUNCT
ejpam-5712	97	66	dot	dot	NOUN
ejpam-5712	97	67	denotes	denote	NOUN
ejpam-5712	97	68	the	the	DET
ejpam-5712	97	69	derivative	derivative	NOUN
ejpam-5712	97	70	with	with	ADP
ejpam-5712	97	71	respect	respect	NOUN
ejpam-5712	97	72	to	to	ADP
ejpam-5712	97	73	time	time	NOUN
ejpam-5712	97	74	.	.	PUNCT
ejpam-5712	98	1	equations	equation	NOUN
ejpam-5712	98	2	(	(	PUNCT
ejpam-5712	98	3	1	1	NUM
ejpam-5712	98	4	)	)	PUNCT
ejpam-5712	98	5	and	and	CCONJ
ejpam-5712	98	6	(	(	PUNCT
ejpam-5712	98	7	2	2	X
ejpam-5712	98	8	)	)	PUNCT
ejpam-5712	98	9	have	have	VERB
ejpam-5712	98	10	the	the	DET
ejpam-5712	98	11	first	first	ADJ
ejpam-5712	98	12	integrals	integral	NOUN
ejpam-5712	98	13	,	,	PUNCT
ejpam-5712	98	14	given	give	VERB
ejpam-5712	98	15	by	by	ADP
ejpam-5712	98	16	γ21	γ21	NOUN
ejpam-5712	98	17	+	+	CCONJ
ejpam-5712	98	18	γ22	γ22	NOUN
ejpam-5712	98	19	+	+	CCONJ
ejpam-5712	98	20	γ23	γ23	NOUN
ejpam-5712	98	21	=	=	SYM
ejpam-5712	98	22	1	1	NUM
ejpam-5712	98	23	,	,	PUNCT
ejpam-5712	98	24	(	(	PUNCT
ejpam-5712	98	25	ap+	ap+	ADJ
ejpam-5712	98	26	ℓ1)γ1	ℓ1)γ1	NOUN
ejpam-5712	98	27	+	+	CCONJ
ejpam-5712	98	28	(	(	PUNCT
ejpam-5712	98	29	bq	bq	INTJ
ejpam-5712	98	30	+	+	CCONJ
ejpam-5712	98	31	ℓ2)γ2	ℓ2)γ2	NOUN
ejpam-5712	98	32	+	+	CCONJ
ejpam-5712	98	33	(	(	PUNCT
ejpam-5712	98	34	cr	cr	X
ejpam-5712	98	35	+	+	NUM
ejpam-5712	98	36	ℓ3)γ3	ℓ3)γ3	PROPN
ejpam-5712	98	37	=	=	SYM
ejpam-5712	98	38	c0	c0	PROPN
ejpam-5712	98	39	,	,	PUNCT
ejpam-5712	98	40	ap2	ap2	PROPN
ejpam-5712	99	1	+	+	NOUN
ejpam-5712	99	2	bq2	bq2	NOUN
ejpam-5712	99	3	+	+	CCONJ
ejpam-5712	99	4	cr2	cr2	NOUN
ejpam-5712	99	5	+	+	CCONJ
ejpam-5712	99	6	2mg(x0γ1	2mg(x0γ1	NUM
ejpam-5712	100	1	+	+	CCONJ
ejpam-5712	100	2	y0γ2	y0γ2	NOUN
ejpam-5712	100	3	+	+	NUM
ejpam-5712	100	4	z0γ3	z0γ3	NOUN
ejpam-5712	100	5	)	)	PUNCT
ejpam-5712	100	6	=	=	SYM
ejpam-5712	101	1	2c1	2c1	NUM
ejpam-5712	101	2	,	,	PUNCT
ejpam-5712	101	3	(	(	PUNCT
ejpam-5712	101	4	3	3	X
ejpam-5712	101	5	)	)	PUNCT
ejpam-5712	101	6	where	where	SCONJ
ejpam-5712	101	7	c0	c0	NOUN
ejpam-5712	101	8	,	,	PUNCT
ejpam-5712	101	9	and	and	CCONJ
ejpam-5712	101	10	c1	c1	NOUN
ejpam-5712	101	11	are	be	AUX
ejpam-5712	101	12	integral	integral	ADJ
ejpam-5712	101	13	constants	constant	NOUN
ejpam-5712	101	14	.	.	PUNCT
ejpam-5712	102	1	3	3	X
ejpam-5712	102	2	.	.	X
ejpam-5712	102	3	euler	euler	PROPN
ejpam-5712	102	4	’s	’s	PART
ejpam-5712	102	5	case	case	NOUN
ejpam-5712	102	6	similar	similar	ADJ
ejpam-5712	102	7	to	to	PART
ejpam-5712	102	8	euler	euler	VERB
ejpam-5712	102	9	’s	’s	PART
ejpam-5712	102	10	case	case	NOUN
ejpam-5712	102	11	,	,	PUNCT
ejpam-5712	102	12	we	we	PRON
ejpam-5712	102	13	acquire	acquire	VERB
ejpam-5712	102	14	the	the	DET
ejpam-5712	102	15	subsequent	subsequent	ADJ
ejpam-5712	102	16	fourth	fourth	ADJ
ejpam-5712	102	17	first	first	ADJ
ejpam-5712	102	18	integral	integral	ADJ
ejpam-5712	102	19	based	base	VERB
ejpam-5712	102	20	on	on	ADP
ejpam-5712	102	21	the	the	DET
ejpam-5712	102	22	existence	existence	NOUN
ejpam-5712	102	23	of	of	ADP
ejpam-5712	102	24	the	the	DET
ejpam-5712	102	25	gm	gm	PROPN
ejpam-5712	102	26	ap2	ap2	PROPN
ejpam-5712	103	1	+	+	NOUN
ejpam-5712	103	2	bq2	bq2	NOUN
ejpam-5712	103	3	+	+	CCONJ
ejpam-5712	103	4	cr2	cr2	NOUN
ejpam-5712	103	5	+	+	CCONJ
ejpam-5712	103	6	2ℓ1(b	2ℓ1(b	NUM
ejpam-5712	103	7	−	−	PROPN
ejpam-5712	104	1	c)qr	c)qr	PROPN
ejpam-5712	104	2	+	+	CCONJ
ejpam-5712	104	3	2ℓ2(c	2ℓ2(c	NUM
ejpam-5712	104	4	−a)rp+	−a)rp+	NOUN
ejpam-5712	104	5	2ℓ3(a−b)pq	2ℓ3(a−b)pq	NUM
ejpam-5712	104	6	=	=	SYM
ejpam-5712	104	7	−c2	−c2	PROPN
ejpam-5712	104	8	0	0	PUNCT
ejpam-5712	104	9	.	.	PUNCT
ejpam-5712	105	1	(	(	PUNCT
ejpam-5712	105	2	4	4	NUM
ejpam-5712	105	3	)	)	PUNCT
ejpam-5712	105	4	by	by	ADP
ejpam-5712	105	5	leveraging	leverage	VERB
ejpam-5712	105	6	the	the	DET
ejpam-5712	105	7	first	first	ADJ
ejpam-5712	105	8	two	two	NUM
ejpam-5712	105	9	integrals	integral	NOUN
ejpam-5712	105	10	presented	present	VERB
ejpam-5712	105	11	in	in	ADP
ejpam-5712	105	12	(	(	PUNCT
ejpam-5712	105	13	3	3	NUM
ejpam-5712	105	14	)	)	PUNCT
ejpam-5712	105	15	and	and	CCONJ
ejpam-5712	105	16	the	the	DET
ejpam-5712	105	17	fourth	fourth	ADJ
ejpam-5712	105	18	integral	integral	ADJ
ejpam-5712	105	19	(	(	PUNCT
ejpam-5712	105	20	4	4	NUM
ejpam-5712	105	21	)	)	PUNCT
ejpam-5712	105	22	,	,	PUNCT
ejpam-5712	105	23	one	one	PRON
ejpam-5712	105	24	gets	get	VERB
ejpam-5712	105	25	γ1	γ1	NOUN
ejpam-5712	105	26	=	=	SYM
ejpam-5712	105	27	ap+	ap+	ADJ
ejpam-5712	105	28	ℓ1	ℓ1	NOUN
ejpam-5712	105	29	c0	c0	NOUN
ejpam-5712	105	30	,	,	PUNCT
ejpam-5712	106	1	γ2	γ2	PROPN
ejpam-5712	106	2	=	=	PUNCT
ejpam-5712	106	3	bq	bq	PROPN
ejpam-5712	106	4	+	+	NUM
ejpam-5712	106	5	ℓ2	ℓ2	PROPN
ejpam-5712	106	6	c0	c0	NOUN
ejpam-5712	106	7	,	,	PUNCT
ejpam-5712	106	8	γ3	γ3	NOUN
ejpam-5712	106	9	=	=	SYM
ejpam-5712	106	10	cr	cr	PROPN
ejpam-5712	106	11	+	+	CCONJ
ejpam-5712	106	12	ℓ3	ℓ3	PROPN
ejpam-5712	106	13	c0	c0	NOUN
ejpam-5712	106	14	.	.	PUNCT
ejpam-5712	107	1	(	(	PUNCT
ejpam-5712	107	2	5	5	NUM
ejpam-5712	107	3	)	)	PUNCT
ejpam-5712	107	4	upon	upon	SCONJ
ejpam-5712	107	5	substituting	substitute	VERB
ejpam-5712	107	6	systems	system	NOUN
ejpam-5712	107	7	(	(	PUNCT
ejpam-5712	107	8	1	1	NUM
ejpam-5712	107	9	)	)	PUNCT
ejpam-5712	107	10	and	and	CCONJ
ejpam-5712	107	11	(	(	PUNCT
ejpam-5712	107	12	2	2	NUM
ejpam-5712	107	13	)	)	PUNCT
ejpam-5712	107	14	into	into	ADP
ejpam-5712	107	15	the	the	DET
ejpam-5712	107	16	third	third	ADJ
ejpam-5712	107	17	equation	equation	NOUN
ejpam-5712	107	18	in	in	ADP
ejpam-5712	107	19	the	the	DET
ejpam-5712	107	20	system	system	NOUN
ejpam-5712	107	21	(	(	PUNCT
ejpam-5712	107	22	3	3	NUM
ejpam-5712	107	23	)	)	PUNCT
ejpam-5712	107	24	,	,	PUNCT
ejpam-5712	107	25	we	we	PRON
ejpam-5712	107	26	obtain	obtain	VERB
ejpam-5712	107	27	1	1	NUM
ejpam-5712	107	28	c3	c3	NOUN
ejpam-5712	107	29	(	(	PUNCT
ejpam-5712	107	30	c(a−	c(a−	PROPN
ejpam-5712	107	31	c)r2	c)r2	PROPN
ejpam-5712	107	32	+	+	NOUN
ejpam-5712	107	33	b(a−b)q2	b(a−b)q2	NOUN
ejpam-5712	107	34	)	)	PUNCT
ejpam-5712	108	1	+	+	NUM
ejpam-5712	108	2	apx0	apx0	NOUN
ejpam-5712	108	3	+	+	ADJ
ejpam-5712	108	4	bqy0	bqy0	PROPN
ejpam-5712	108	5	+	+	NUM
ejpam-5712	108	6	crz0	crz0	PROPN
ejpam-5712	108	7	=	=	SYM
ejpam-5712	108	8	c2	c2	PROPN
ejpam-5712	108	9	,	,	PUNCT
ejpam-5712	108	10	(	(	PUNCT
ejpam-5712	108	11	6	6	NUM
ejpam-5712	108	12	)	)	PUNCT
ejpam-5712	108	13	t.	t.	PROPN
ejpam-5712	108	14	s.	s.	PROPN
ejpam-5712	108	15	amer	amer	PROPN
ejpam-5712	108	16	et	et	PROPN
ejpam-5712	108	17	al	al	PROPN
ejpam-5712	108	18	.	.	PUNCT
ejpam-5712	108	19	/	/	SYM
ejpam-5712	108	20	eur	eur	PROPN
ejpam-5712	108	21	.	.	PUNCT
ejpam-5712	109	1	j.	j.	PROPN
ejpam-5712	109	2	pure	pure	PROPN
ejpam-5712	109	3	appl	appl	PROPN
ejpam-5712	109	4	.	.	PROPN
ejpam-5712	109	5	math	math	PROPN
ejpam-5712	109	6	,	,	PUNCT
ejpam-5712	109	7	18	18	NUM
ejpam-5712	109	8	(	(	PUNCT
ejpam-5712	109	9	1	1	NUM
ejpam-5712	109	10	)	)	PUNCT
ejpam-5712	109	11	(	(	PUNCT
ejpam-5712	109	12	2025	2025	NUM
ejpam-5712	109	13	)	)	PUNCT
ejpam-5712	109	14	,	,	PUNCT
ejpam-5712	109	15	5712	5712	NUM
ejpam-5712	109	16	6	6	NUM
ejpam-5712	109	17	of	of	ADP
ejpam-5712	109	18	14	14	NUM
ejpam-5712	109	19	where	where	SCONJ
ejpam-5712	109	20	c2	c2	PROPN
ejpam-5712	109	21	=	=	PROPN
ejpam-5712	109	22	c0	c0	PROPN
ejpam-5712	109	23	[	[	PUNCT
ejpam-5712	109	24	c1	c1	PROPN
ejpam-5712	109	25	mg	mg	PROPN
ejpam-5712	109	26	−	−	PROPN
ejpam-5712	110	1	c0	c0	NOUN
ejpam-5712	110	2	2amg	2amg	NUM
ejpam-5712	110	3	−	−	PROPN
ejpam-5712	110	4	1	1	NUM
ejpam-5712	110	5	c0	c0	NOUN
ejpam-5712	110	6	(	(	PUNCT
ejpam-5712	110	7	x0ℓ1	x0ℓ1	X
ejpam-5712	111	1	+	+	SYM
ejpam-5712	111	2	y0ℓ2	y0ℓ2	NOUN
ejpam-5712	111	3	+	+	ADJ
ejpam-5712	111	4	z0ℓ3	z0ℓ3	NOUN
ejpam-5712	111	5	)	)	PUNCT
ejpam-5712	111	6	]	]	PUNCT
ejpam-5712	111	7	,	,	PUNCT
ejpam-5712	111	8	c3	c3	X
ejpam-5712	111	9	=	=	PUNCT
ejpam-5712	111	10	2amg	2amg	NUM
ejpam-5712	111	11	c0	c0	NOUN
ejpam-5712	111	12	.	.	PUNCT
ejpam-5712	112	1	equation	equation	NOUN
ejpam-5712	112	2	(	(	PUNCT
ejpam-5712	112	3	6	6	NUM
ejpam-5712	112	4	)	)	PUNCT
ejpam-5712	112	5	demonstrates	demonstrate	VERB
ejpam-5712	112	6	a	a	DET
ejpam-5712	112	7	linear	linear	ADJ
ejpam-5712	112	8	combination	combination	NOUN
ejpam-5712	112	9	of	of	ADP
ejpam-5712	112	10	the	the	DET
ejpam-5712	112	11	first	first	ADJ
ejpam-5712	112	12	integrals	integral	NOUN
ejpam-5712	112	13	(	(	PUNCT
ejpam-5712	112	14	3	3	NUM
ejpam-5712	112	15	)	)	PUNCT
ejpam-5712	112	16	,	,	PUNCT
ejpam-5712	112	17	the	the	DET
ejpam-5712	112	18	fourth	fourth	ADJ
ejpam-5712	112	19	integral	integral	ADJ
ejpam-5712	112	20	(	(	PUNCT
ejpam-5712	112	21	4	4	NUM
ejpam-5712	112	22	)	)	PUNCT
ejpam-5712	112	23	,	,	PUNCT
ejpam-5712	112	24	and	and	CCONJ
ejpam-5712	112	25	(	(	PUNCT
ejpam-5712	112	26	5	5	NUM
ejpam-5712	112	27	)	)	PUNCT
ejpam-5712	112	28	.	.	PUNCT
ejpam-5712	113	1	consequently	consequently	ADV
ejpam-5712	113	2	,	,	PUNCT
ejpam-5712	113	3	our	our	PRON
ejpam-5712	113	4	aim	aim	NOUN
ejpam-5712	113	5	is	be	AUX
ejpam-5712	113	6	to	to	PART
ejpam-5712	113	7	determine	determine	VERB
ejpam-5712	113	8	a	a	DET
ejpam-5712	113	9	solution	solution	NOUN
ejpam-5712	113	10	that	that	PRON
ejpam-5712	113	11	complies	comply	VERB
ejpam-5712	113	12	with	with	ADP
ejpam-5712	113	13	the	the	DET
ejpam-5712	113	14	stated	state	VERB
ejpam-5712	113	15	equation	equation	NOUN
ejpam-5712	113	16	(	(	PUNCT
ejpam-5712	113	17	6	6	NUM
ejpam-5712	113	18	)	)	PUNCT
ejpam-5712	113	19	.	.	PUNCT
ejpam-5712	114	1	4	4	X
ejpam-5712	114	2	.	.	X
ejpam-5712	114	3	the	the	DET
ejpam-5712	114	4	enhanced	enhance	VERB
ejpam-5712	114	5	solution	solution	NOUN
ejpam-5712	114	6	at	at	ADP
ejpam-5712	114	7	x0	x0	PROPN
ejpam-5712	114	8	=	=	SYM
ejpam-5712	114	9	0	0	PUNCT
ejpam-5712	114	10	considering	consider	VERB
ejpam-5712	114	11	our	our	PRON
ejpam-5712	114	12	perspective	perspective	NOUN
ejpam-5712	114	13	,	,	PUNCT
ejpam-5712	114	14	let	let	VERB
ejpam-5712	114	15	us	we	PRON
ejpam-5712	114	16	collectively	collectively	ADV
ejpam-5712	114	17	examine	examine	VERB
ejpam-5712	114	18	the	the	DET
ejpam-5712	114	19	subsequent	subsequent	ADJ
ejpam-5712	114	20	option	option	NOUN
ejpam-5712	114	21	in	in	ADP
ejpam-5712	114	22	conjunction	conjunction	NOUN
ejpam-5712	114	23	with	with	ADP
ejpam-5712	114	24	z0	z0	PROPN
ejpam-5712	114	25	̸=	̸=	PROPN
ejpam-5712	114	26	0	0	NUM
ejpam-5712	114	27	,	,	PUNCT
ejpam-5712	114	28	(	(	PUNCT
ejpam-5712	114	29	y0	y0	PROPN
ejpam-5712	114	30	z0	z0	NOUN
ejpam-5712	114	31	)	)	PUNCT
ejpam-5712	114	32	2	2	NUM
ejpam-5712	114	33	=	=	SYM
ejpam-5712	114	34	c(b	c(b	PROPN
ejpam-5712	114	35	−a	−a	NOUN
ejpam-5712	114	36	)	)	PUNCT
ejpam-5712	114	37	b(a−	b(a−	PROPN
ejpam-5712	114	38	c	c	NOUN
ejpam-5712	114	39	)	)	PUNCT
ejpam-5712	114	40	.	.	PUNCT
ejpam-5712	115	1	(	(	PUNCT
ejpam-5712	115	2	7	7	X
ejpam-5712	115	3	)	)	PUNCT
ejpam-5712	115	4	besides	besides	SCONJ
ejpam-5712	115	5	that	that	PRON
ejpam-5712	115	6	,	,	PUNCT
ejpam-5712	115	7	let	let	VERB
ejpam-5712	115	8	us	we	PRON
ejpam-5712	115	9	choose	choose	VERB
ejpam-5712	115	10	x0	x0	PROPN
ejpam-5712	115	11	,	,	PUNCT
ejpam-5712	115	12	c2	c2	PROPN
ejpam-5712	115	13	=	=	PUNCT
ejpam-5712	115	14	0	0	NUM
ejpam-5712	116	1	in	in	ADP
ejpam-5712	116	2	equation	equation	NOUN
ejpam-5712	116	3	(	(	PUNCT
ejpam-5712	116	4	6	6	NUM
ejpam-5712	116	5	)	)	PUNCT
ejpam-5712	116	6	.	.	PUNCT
ejpam-5712	117	1	the	the	DET
ejpam-5712	117	2	condition	condition	NOUN
ejpam-5712	117	3	c2	c2	PROPN
ejpam-5712	117	4	=	=	SYM
ejpam-5712	117	5	0	0	PROPN
ejpam-5712	117	6	implies	imply	VERB
ejpam-5712	117	7	c2	c2	PROPN
ejpam-5712	117	8	0	0	NUM
ejpam-5712	118	1	=	=	SYM
ejpam-5712	118	2	2ac1	2ac1	NUM
ejpam-5712	118	3	−	−	NOUN
ejpam-5712	119	1	c3(x0ℓ1	c3(x0ℓ1	PROPN
ejpam-5712	119	2	+	+	NUM
ejpam-5712	119	3	y0ℓ2	y0ℓ2	X
ejpam-5712	120	1	+	+	ADJ
ejpam-5712	120	2	z0ℓ3	z0ℓ3	NOUN
ejpam-5712	120	3	)	)	PUNCT
ejpam-5712	120	4	.	.	PUNCT
ejpam-5712	121	1	in	in	ADP
ejpam-5712	121	2	such	such	ADJ
ejpam-5712	121	3	case	case	NOUN
ejpam-5712	121	4	,	,	PUNCT
ejpam-5712	121	5	equation	equation	NOUN
ejpam-5712	121	6	(	(	PUNCT
ejpam-5712	121	7	6	6	NUM
ejpam-5712	121	8	)	)	PUNCT
ejpam-5712	121	9	is	be	AUX
ejpam-5712	121	10	expressed	express	VERB
ejpam-5712	121	11	as	as	ADP
ejpam-5712	121	12	bqy0	bqy0	PROPN
ejpam-5712	121	13	+	+	NUM
ejpam-5712	121	14	crz0	crz0	PROPN
ejpam-5712	121	15	=	=	SYM
ejpam-5712	122	1	q√b(b	q√b(b	NOUN
ejpam-5712	122	2	−a	−a	NOUN
ejpam-5712	122	3	)	)	PUNCT
ejpam-5712	122	4	c3	c3	NOUN
ejpam-5712	122	5	−	−	PROPN
ejpam-5712	123	1	r	r	NOUN
ejpam-5712	123	2	√	√	PUNCT
ejpam-5712	123	3	c(a−	c(a−	PROPN
ejpam-5712	123	4	c	c	NOUN
ejpam-5712	123	5	)	)	PUNCT
ejpam-5712	123	6	c3	c3	NOUN
ejpam-5712	123	7	q√b(b	q√b(b	VERB
ejpam-5712	123	8	−a	−a	NOUN
ejpam-5712	123	9	)	)	PUNCT
ejpam-5712	123	10	c3	c3	NOUN
ejpam-5712	123	11	+	+	CCONJ
ejpam-5712	123	12	r	r	NOUN
ejpam-5712	123	13	√	√	NUM
ejpam-5712	123	14	c(a−	c(a−	PROPN
ejpam-5712	123	15	c	c	NOUN
ejpam-5712	123	16	)	)	PUNCT
ejpam-5712	123	17	c3	c3	NOUN
ejpam-5712	123	18			NOUN
ejpam-5712	123	19	.	.	PUNCT
ejpam-5712	124	1	hence	hence	ADV
ejpam-5712	124	2	,	,	PUNCT
ejpam-5712	124	3	the	the	DET
ejpam-5712	124	4	aforementioned	aforementioned	ADJ
ejpam-5712	124	5	equalities	equality	NOUN
ejpam-5712	124	6	(	(	PUNCT
ejpam-5712	124	7	6	6	X
ejpam-5712	124	8	)	)	PUNCT
ejpam-5712	124	9	hold	hold	NOUN
ejpam-5712	124	10	given	give	VERB
ejpam-5712	124	11	the	the	DET
ejpam-5712	124	12	specified	specified	ADJ
ejpam-5712	124	13	conditions	condition	NOUN
ejpam-5712	124	14	(	(	PUNCT
ejpam-5712	124	15	7	7	NUM
ejpam-5712	124	16	)	)	PUNCT
ejpam-5712	124	17	,	,	PUNCT
ejpam-5712	124	18	and	and	CCONJ
ejpam-5712	124	19	the	the	DET
ejpam-5712	124	20	last	last	ADJ
ejpam-5712	124	21	algebraic	algebraic	ADJ
ejpam-5712	124	22	equation	equation	NOUN
ejpam-5712	124	23	can	can	AUX
ejpam-5712	124	24	be	be	AUX
ejpam-5712	124	25	simplified	simplify	VERB
ejpam-5712	124	26	as	as	ADP
ejpam-5712	124	27	q	q	NOUN
ejpam-5712	124	28	√	√	PROPN
ejpam-5712	124	29	b(b	b(b	PROPN
ejpam-5712	124	30	−a	−a	VERB
ejpam-5712	124	31	)	)	PUNCT
ejpam-5712	125	1	c3	c3	NOUN
ejpam-5712	125	2	+	+	CCONJ
ejpam-5712	125	3	r	r	NOUN
ejpam-5712	125	4	√	√	NUM
ejpam-5712	125	5	c(a−	c(a−	PROPN
ejpam-5712	125	6	c	c	NOUN
ejpam-5712	125	7	)	)	PUNCT
ejpam-5712	125	8	c3	c3	NOUN
ejpam-5712	125	9	=	=	SYM
ejpam-5712	125	10	0	0	NUM
ejpam-5712	126	1	⇒	⇒	NOUN
ejpam-5712	126	2	r	r	NOUN
ejpam-5712	126	3	=	=	PUNCT
ejpam-5712	126	4	by0	by0	NOUN
ejpam-5712	126	5	cz0	cz0	NOUN
ejpam-5712	126	6	q.	q.	PROPN
ejpam-5712	126	7	taking	take	VERB
ejpam-5712	126	8	into	into	ADP
ejpam-5712	126	9	consideration	consideration	NOUN
ejpam-5712	126	10	equation	equation	NOUN
ejpam-5712	126	11	(	(	PUNCT
ejpam-5712	126	12	3	3	NUM
ejpam-5712	126	13	)	)	PUNCT
ejpam-5712	126	14	,	,	PUNCT
ejpam-5712	126	15	one	one	PRON
ejpam-5712	126	16	obtains	obtain	VERB
ejpam-5712	126	17	q	q	NOUN
ejpam-5712	126	18	=	=	SYM
ejpam-5712	126	19	z0	z0	PROPN
ejpam-5712	126	20	b	b	PROPN
ejpam-5712	126	21	√	√	PROPN
ejpam-5712	126	22	c2	c2	PROPN
ejpam-5712	126	23	0	0	PUNCT
ejpam-5712	127	1	−a2p2	−a2p2	PROPN
ejpam-5712	127	2	y20	y20	NOUN
ejpam-5712	127	3	+	+	CCONJ
ejpam-5712	127	4	z20	z20	NOUN
ejpam-5712	127	5	,	,	PUNCT
ejpam-5712	127	6	r	r	NOUN
ejpam-5712	127	7	=	=	SYM
ejpam-5712	127	8	y0	y0	NOUN
ejpam-5712	127	9	c	c	NOUN
ejpam-5712	127	10	√	√	NOUN
ejpam-5712	127	11	c2	c2	PROPN
ejpam-5712	127	12	0	0	PUNCT
ejpam-5712	128	1	−a2p2	−a2p2	PROPN
ejpam-5712	128	2	y20	y20	NOUN
ejpam-5712	128	3	+	+	CCONJ
ejpam-5712	128	4	z20	z20	NOUN
ejpam-5712	128	5	.	.	PUNCT
ejpam-5712	129	1	(	(	PUNCT
ejpam-5712	129	2	8)	8)	NUM
ejpam-5712	129	3	afterward	afterward	ADV
ejpam-5712	129	4	,	,	PUNCT
ejpam-5712	129	5	by	by	ADP
ejpam-5712	129	6	replacing	replace	VERB
ejpam-5712	129	7	the	the	DET
ejpam-5712	129	8	equalities	equality	NOUN
ejpam-5712	129	9	(	(	PUNCT
ejpam-5712	129	10	8)	8)	NUM
ejpam-5712	129	11	with	with	ADP
ejpam-5712	129	12	the	the	DET
ejpam-5712	129	13	system	system	NOUN
ejpam-5712	129	14	(	(	PUNCT
ejpam-5712	129	15	1	1	NUM
ejpam-5712	129	16	)	)	PUNCT
ejpam-5712	129	17	,	,	PUNCT
ejpam-5712	129	18	one	one	PRON
ejpam-5712	129	19	can	can	AUX
ejpam-5712	129	20	deduce	deduce	VERB
ejpam-5712	129	21	that	that	SCONJ
ejpam-5712	129	22	each	each	PRON
ejpam-5712	129	23	of	of	ADP
ejpam-5712	129	24	them	they	PRON
ejpam-5712	129	25	holds	hold	VERB
ejpam-5712	129	26	given	give	VERB
ejpam-5712	129	27	the	the	DET
ejpam-5712	129	28	conditions	condition	NOUN
ejpam-5712	129	29	(	(	PUNCT
ejpam-5712	129	30	7	7	NUM
ejpam-5712	129	31	)	)	PUNCT
ejpam-5712	129	32	.	.	PUNCT
ejpam-5712	130	1	additionally	additionally	ADV
ejpam-5712	130	2	,	,	PUNCT
ejpam-5712	130	3	every	every	DET
ejpam-5712	130	4	equation	equation	NOUN
ejpam-5712	130	5	in	in	ADP
ejpam-5712	130	6	(	(	PUNCT
ejpam-5712	130	7	1	1	X
ejpam-5712	130	8	)	)	PUNCT
ejpam-5712	130	9	needs	need	VERB
ejpam-5712	130	10	to	to	PART
ejpam-5712	130	11	be	be	AUX
ejpam-5712	130	12	simplified	simplify	VERB
ejpam-5712	130	13	into	into	ADP
ejpam-5712	130	14	the	the	DET
ejpam-5712	130	15	individual	individual	ADJ
ejpam-5712	130	16	ordinary	ordinary	ADJ
ejpam-5712	130	17	differential	differential	ADJ
ejpam-5712	130	18	equation	equation	NOUN
ejpam-5712	130	19	presented	present	VERB
ejpam-5712	130	20	below	below	ADP
ejpam-5712	130	21	dp	dp	NOUN
ejpam-5712	131	1	dt	dt	NOUN
ejpam-5712	132	1	=	=	SYM
ejpam-5712	132	2	γ1(c	γ1(c	PROPN
ejpam-5712	132	3	2	2	NUM
ejpam-5712	132	4	0	0	NUM
ejpam-5712	132	5	−a2p2	−a2p2	NUM
ejpam-5712	132	6	)	)	PUNCT
ejpam-5712	133	1	+	+	CCONJ
ejpam-5712	133	2	γ2	γ2	ADJ
ejpam-5712	133	3	√	√	PROPN
ejpam-5712	133	4	c2	c2	PROPN
ejpam-5712	133	5	0	0	PUNCT
ejpam-5712	134	1	−a2p2	−a2p2	PROPN
ejpam-5712	134	2	+	+	NUM
ejpam-5712	134	3	γ3	γ3	NOUN
ejpam-5712	134	4	,	,	PUNCT
ejpam-5712	134	5	where	where	SCONJ
ejpam-5712	134	6	γ1	γ1	PROPN
ejpam-5712	134	7	=	=	SYM
ejpam-5712	134	8	(	(	PUNCT
ejpam-5712	134	9	c	c	PROPN
ejpam-5712	134	10	−a)y0	−a)y0	PROPN
ejpam-5712	134	11	ca2z0	ca2z0	PROPN
ejpam-5712	134	12	,	,	PUNCT
ejpam-5712	134	13	γ2	γ2	NOUN
ejpam-5712	134	14	=	=	PUNCT
ejpam-5712	134	15	[	[	PUNCT
ejpam-5712	134	16	mg	mg	PROPN
ejpam-5712	134	17	c0	c0	PROPN
ejpam-5712	134	18	−	−	PROPN
ejpam-5712	134	19	1	1	NUM
ejpam-5712	134	20	y20	y20	NOUN
ejpam-5712	134	21	+	+	CCONJ
ejpam-5712	134	22	z20	z20	NOUN
ejpam-5712	134	23	(	(	PUNCT
ejpam-5712	134	24	y0ℓ2	y0ℓ2	NOUN
ejpam-5712	134	25	c	c	X
ejpam-5712	135	1	+	+	NOUN
ejpam-5712	135	2	z0ℓ3	z0ℓ3	PROPN
ejpam-5712	135	3	b	b	X
ejpam-5712	135	4	)	)	PUNCT
ejpam-5712	135	5	]	]	PUNCT
ejpam-5712	136	1	√	√	ADP
ejpam-5712	136	2	y20	y20	NOUN
ejpam-5712	137	1	+	+	CCONJ
ejpam-5712	137	2	z20	z20	PROPN
ejpam-5712	137	3	a	a	PRON
ejpam-5712	137	4	,	,	PUNCT
ejpam-5712	137	5	γ3	γ3	NOUN
ejpam-5712	137	6	=	=	PUNCT
ejpam-5712	137	7	mg	mg	PROPN
ejpam-5712	137	8	ac0	ac0	PROPN
ejpam-5712	137	9	(	(	PUNCT
ejpam-5712	137	10	z0ℓ2−y0ℓ3	z0ℓ2−y0ℓ3	PROPN
ejpam-5712	137	11	)	)	PUNCT
ejpam-5712	137	12	.	.	PUNCT
ejpam-5712	138	1	t.	t.	PROPN
ejpam-5712	138	2	s.	s.	PROPN
ejpam-5712	138	3	amer	amer	PROPN
ejpam-5712	138	4	et	et	PROPN
ejpam-5712	138	5	al	al	PROPN
ejpam-5712	138	6	.	.	PUNCT
ejpam-5712	138	7	/	/	SYM
ejpam-5712	138	8	eur	eur	PROPN
ejpam-5712	138	9	.	.	PUNCT
ejpam-5712	139	1	j.	j.	PROPN
ejpam-5712	139	2	pure	pure	PROPN
ejpam-5712	139	3	appl	appl	PROPN
ejpam-5712	139	4	.	.	PROPN
ejpam-5712	139	5	math	math	PROPN
ejpam-5712	139	6	,	,	PUNCT
ejpam-5712	139	7	18	18	NUM
ejpam-5712	139	8	(	(	PUNCT
ejpam-5712	139	9	1	1	NUM
ejpam-5712	139	10	)	)	PUNCT
ejpam-5712	139	11	(	(	PUNCT
ejpam-5712	139	12	2025	2025	NUM
ejpam-5712	139	13	)	)	PUNCT
ejpam-5712	139	14	,	,	PUNCT
ejpam-5712	139	15	5712	5712	NUM
ejpam-5712	139	16	7	7	NUM
ejpam-5712	139	17	of	of	ADP
ejpam-5712	139	18	14	14	NUM
ejpam-5712	139	19	separating	separate	VERB
ejpam-5712	139	20	variables	variable	NOUN
ejpam-5712	139	21	and	and	CCONJ
ejpam-5712	139	22	integrating	integrate	VERB
ejpam-5712	139	23	both	both	DET
ejpam-5712	139	24	sides	side	NOUN
ejpam-5712	139	25	,	,	PUNCT
ejpam-5712	139	26	yields∫	yields∫	NOUN
ejpam-5712	139	27	dp	dp	NOUN
ejpam-5712	140	1	γ1(c2	γ1(c2	ADJ
ejpam-5712	140	2	0	0	NUM
ejpam-5712	140	3	−a2p2	−a2p2	NUM
ejpam-5712	140	4	)	)	PUNCT
ejpam-5712	140	5	+	+	CCONJ
ejpam-5712	140	6	γ2	γ2	ADJ
ejpam-5712	140	7	√	√	PROPN
ejpam-5712	140	8	c2	c2	PROPN
ejpam-5712	140	9	0	0	PUNCT
ejpam-5712	140	10	−a2p2	−a2p2	PROPN
ejpam-5712	140	11	+	+	CCONJ
ejpam-5712	140	12	γ3	γ3	NOUN
ejpam-5712	140	13	=	=	SYM
ejpam-5712	140	14	∫	∫	PROPN
ejpam-5712	141	1	dt	dt	X
ejpam-5712	141	2	.	.	PUNCT
ejpam-5712	142	1	(	(	PUNCT
ejpam-5712	142	2	9	9	X
ejpam-5712	142	3	)	)	PUNCT
ejpam-5712	142	4	considering	consider	VERB
ejpam-5712	142	5	a	a	DET
ejpam-5712	142	6	>	>	X
ejpam-5712	142	7	b	b	X
ejpam-5712	142	8	>	>	X
ejpam-5712	142	9	c	c	X
ejpam-5712	142	10	,	,	PUNCT
ejpam-5712	142	11	z0	z0	PROPN
ejpam-5712	142	12	̸=	̸=	PROPN
ejpam-5712	142	13	0	0	NUM
ejpam-5712	142	14	implies	imply	VERB
ejpam-5712	142	15	γ1	γ1	NOUN
ejpam-5712	142	16	=	=	SYM
ejpam-5712	142	17	(	(	PUNCT
ejpam-5712	142	18	c−a)y0	c−a)y0	PROPN
ejpam-5712	142	19	ca2z0	ca2z0	PROPN
ejpam-5712	142	20	,	,	PUNCT
ejpam-5712	142	21	and	and	CCONJ
ejpam-5712	142	22	γ2	γ2	PROPN
ejpam-5712	142	23	=	=	SYM
ejpam-5712	142	24	mg	mg	PROPN
ejpam-5712	142	25	ac0	ac0	NOUN
ejpam-5712	142	26	√	√	NOUN
ejpam-5712	142	27	y20	y20	NOUN
ejpam-5712	142	28	+	+	CCONJ
ejpam-5712	142	29	z20	z20	NOUN
ejpam-5712	142	30	.	.	PUNCT
ejpam-5712	143	1	thus	thus	ADV
ejpam-5712	143	2	,	,	PUNCT
ejpam-5712	143	3	the	the	DET
ejpam-5712	143	4	solution	solution	NOUN
ejpam-5712	143	5	to	to	ADP
ejpam-5712	143	6	equation	equation	NOUN
ejpam-5712	143	7	(	(	PUNCT
ejpam-5712	143	8	9	9	NUM
ejpam-5712	143	9	)	)	PUNCT
ejpam-5712	143	10	for	for	ADP
ejpam-5712	143	11	p	p	NOUN
ejpam-5712	143	12	is	be	AUX
ejpam-5712	143	13	represented	represent	VERB
ejpam-5712	143	14	by	by	ADP
ejpam-5712	143	15	the	the	DET
ejpam-5712	143	16	appropriate	appropriate	ADJ
ejpam-5712	143	17	elliptical	elliptical	ADJ
ejpam-5712	143	18	integral	integral	ADJ
ejpam-5712	143	19	[	[	X
ejpam-5712	143	20	26	26	NUM
ejpam-5712	143	21	]	]	PUNCT
ejpam-5712	143	22	.	.	PUNCT
ejpam-5712	144	1	furthermore	furthermore	ADV
ejpam-5712	144	2	,	,	PUNCT
ejpam-5712	144	3	it	it	PRON
ejpam-5712	144	4	is	be	AUX
ejpam-5712	144	5	important	important	ADJ
ejpam-5712	144	6	to	to	PART
ejpam-5712	144	7	highlight	highlight	VERB
ejpam-5712	144	8	that	that	SCONJ
ejpam-5712	144	9	the	the	DET
ejpam-5712	144	10	utilization	utilization	NOUN
ejpam-5712	144	11	of	of	ADP
ejpam-5712	144	12	euler	euler	PROPN
ejpam-5712	144	13	’s	’s	PART
ejpam-5712	144	14	invariant	invariant	ADJ
ejpam-5712	144	15	(	(	PUNCT
ejpam-5712	144	16	3	3	NUM
ejpam-5712	144	17	)	)	PUNCT
ejpam-5712	144	18	leads	lead	VERB
ejpam-5712	144	19	to	to	ADP
ejpam-5712	144	20	the	the	DET
ejpam-5712	144	21	establishment	establishment	NOUN
ejpam-5712	144	22	of	of	ADP
ejpam-5712	144	23	a	a	DET
ejpam-5712	144	24	suitable	suitable	ADJ
ejpam-5712	144	25	restriction	restriction	NOUN
ejpam-5712	144	26	for	for	ADP
ejpam-5712	144	27	equations	equation	NOUN
ejpam-5712	144	28	(	(	PUNCT
ejpam-5712	144	29	8)	8)	NUM
ejpam-5712	144	30	and	and	CCONJ
ejpam-5712	144	31	(	(	PUNCT
ejpam-5712	144	32	9	9	NUM
ejpam-5712	144	33	)	)	PUNCT
ejpam-5712	144	34	as	as	ADP
ejpam-5712	144	35	c2	c2	PROPN
ejpam-5712	144	36	0	0	PUNCT
ejpam-5712	145	1	−a2p2	−a2p2	PROPN
ejpam-5712	145	2	>	>	X
ejpam-5712	145	3	0	0	NUM
ejpam-5712	145	4	.	.	PROPN
ejpam-5712	145	5	5	5	NUM
ejpam-5712	145	6	.	.	PUNCT
ejpam-5712	146	1	the	the	DET
ejpam-5712	146	2	exact	exact	ADJ
ejpam-5712	146	3	solution	solution	NOUN
ejpam-5712	146	4	at	at	ADP
ejpam-5712	146	5	x0	x0	PROPN
ejpam-5712	146	6	=	=	SYM
ejpam-5712	146	7	z0	z0	PROPN
ejpam-5712	146	8	=	=	SYM
ejpam-5712	146	9	0	0	PUNCT
ejpam-5712	146	10	let	let	VERB
ejpam-5712	146	11	’s	’s	PRON
ejpam-5712	146	12	choose	choose	VERB
ejpam-5712	146	13	the	the	DET
ejpam-5712	146	14	case	case	NOUN
ejpam-5712	146	15	x0	x0	NOUN
ejpam-5712	146	16	=	=	PUNCT
ejpam-5712	146	17	z0	z0	PROPN
ejpam-5712	146	18	=	=	NOUN
ejpam-5712	146	19	0	0	NUM
ejpam-5712	147	1	in	in	ADP
ejpam-5712	147	2	(	(	PUNCT
ejpam-5712	147	3	6	6	NUM
ejpam-5712	147	4	)	)	PUNCT
ejpam-5712	147	5	which	which	PRON
ejpam-5712	147	6	gives	give	VERB
ejpam-5712	147	7	r2	r2	NOUN
ejpam-5712	147	8	=	=	PUNCT
ejpam-5712	147	9	c2c3	c2c3	PUNCT
ejpam-5712	148	1	+	+	NOUN
ejpam-5712	148	2	b(b	b(b	NOUN
ejpam-5712	148	3	−a)q2	−a)q2	VERB
ejpam-5712	148	4	−bc3y0q	−bc3y0q	ADJ
ejpam-5712	148	5	c(a−	c(a−	PROPN
ejpam-5712	148	6	c	c	PROPN
ejpam-5712	148	7	)	)	PUNCT
ejpam-5712	148	8	;	;	PUNCT
ejpam-5712	148	9	a	a	DET
ejpam-5712	148	10	̸=	̸=	PROPN
ejpam-5712	148	11	c	c	PROPN
ejpam-5712	148	12	,	,	PUNCT
ejpam-5712	148	13	(	(	PUNCT
ejpam-5712	148	14	10	10	NUM
ejpam-5712	148	15	)	)	PUNCT
ejpam-5712	148	16	from	from	ADP
ejpam-5712	148	17	equation	equation	NOUN
ejpam-5712	148	18	(	(	PUNCT
ejpam-5712	148	19	3	3	NUM
ejpam-5712	148	20	)	)	PUNCT
ejpam-5712	148	21	,	,	PUNCT
ejpam-5712	148	22	one	one	PRON
ejpam-5712	148	23	obtains	obtain	VERB
ejpam-5712	148	24	p2	p2	NOUN
ejpam-5712	148	25	=	=	PUNCT
ejpam-5712	148	26	c3	c3	NOUN
ejpam-5712	148	27	0	0	NUM
ejpam-5712	149	1	−	−	NUM
ejpam-5712	149	2	2cc0c1	2cc0c1	PROPN
ejpam-5712	150	1	+	+	CCONJ
ejpam-5712	151	1	2mgc(x0ℓ1	2mgc(x0ℓ1	NUM
ejpam-5712	151	2	+	+	SYM
ejpam-5712	151	3	y0ℓ2	y0ℓ2	PROPN
ejpam-5712	151	4	+	+	NUM
ejpam-5712	151	5	z0ℓ3	z0ℓ3	NOUN
ejpam-5712	151	6	)	)	PUNCT
ejpam-5712	151	7	a(a−	a(a−	PROPN
ejpam-5712	151	8	c)c0	c)c0	NOUN
ejpam-5712	151	9	+	+	CCONJ
ejpam-5712	151	10	2mgbcy0	2mgbcy0	NUM
ejpam-5712	151	11	a(a−	a(a−	NOUN
ejpam-5712	151	12	c)c0	c)c0	NOUN
ejpam-5712	151	13	q−b(b	q−b(b	VERB
ejpam-5712	151	14	−	−	PROPN
ejpam-5712	151	15	c	c	NOUN
ejpam-5712	151	16	)	)	PUNCT
ejpam-5712	151	17	a(a−	a(a−	PROPN
ejpam-5712	151	18	c	c	NOUN
ejpam-5712	151	19	)	)	PUNCT
ejpam-5712	151	20	q2	q2	NOUN
ejpam-5712	151	21	;	;	PUNCT
ejpam-5712	151	22	a	a	DET
ejpam-5712	151	23	̸=	̸=	PROPN
ejpam-5712	151	24	c.	c.	NOUN
ejpam-5712	151	25	(	(	PUNCT
ejpam-5712	151	26	11	11	NUM
ejpam-5712	151	27	)	)	PUNCT
ejpam-5712	151	28	afterwards	afterwards	ADV
ejpam-5712	151	29	,	,	PUNCT
ejpam-5712	151	30	by	by	ADP
ejpam-5712	151	31	replacing	replace	VERB
ejpam-5712	151	32	equalities	equality	NOUN
ejpam-5712	151	33	(	(	PUNCT
ejpam-5712	151	34	10	10	NUM
ejpam-5712	151	35	)	)	PUNCT
ejpam-5712	151	36	and	and	CCONJ
ejpam-5712	151	37	(	(	PUNCT
ejpam-5712	151	38	11	11	NUM
ejpam-5712	151	39	)	)	PUNCT
ejpam-5712	151	40	into	into	ADP
ejpam-5712	151	41	the	the	DET
ejpam-5712	151	42	system	system	NOUN
ejpam-5712	151	43	of	of	ADP
ejpam-5712	151	44	equation	equation	NOUN
ejpam-5712	151	45	(	(	PUNCT
ejpam-5712	151	46	1	1	NUM
ejpam-5712	151	47	)	)	PUNCT
ejpam-5712	151	48	,	,	PUNCT
ejpam-5712	151	49	we	we	PRON
ejpam-5712	151	50	can	can	AUX
ejpam-5712	151	51	deduce	deduce	VERB
ejpam-5712	151	52	that	that	SCONJ
ejpam-5712	151	53	every	every	DET
ejpam-5712	151	54	one	one	NUM
ejpam-5712	151	55	of	of	ADP
ejpam-5712	151	56	them	they	PRON
ejpam-5712	151	57	holds	hold	VERB
ejpam-5712	151	58	.	.	PUNCT
ejpam-5712	152	1	furthermore	furthermore	ADV
ejpam-5712	152	2	,	,	PUNCT
ejpam-5712	152	3	each	each	DET
ejpam-5712	152	4	equation	equation	NOUN
ejpam-5712	152	5	in	in	ADP
ejpam-5712	152	6	(	(	PUNCT
ejpam-5712	152	7	1	1	X
ejpam-5712	152	8	)	)	PUNCT
ejpam-5712	152	9	needs	need	VERB
ejpam-5712	152	10	to	to	PART
ejpam-5712	152	11	be	be	AUX
ejpam-5712	152	12	simplified	simplify	VERB
ejpam-5712	152	13	into	into	ADP
ejpam-5712	152	14	a	a	DET
ejpam-5712	152	15	singular	singular	ADJ
ejpam-5712	152	16	ordinary	ordinary	ADJ
ejpam-5712	152	17	differential	differential	ADJ
ejpam-5712	152	18	equation	equation	NOUN
ejpam-5712	152	19	,	,	PUNCT
ejpam-5712	152	20	as	as	SCONJ
ejpam-5712	152	21	shown	show	VERB
ejpam-5712	152	22	below∫	below∫	PROPN
ejpam-5712	152	23	(	(	PUNCT
ejpam-5712	152	24	√	√	NUM
ejpam-5712	152	25	f1(q	f1(q	NUM
ejpam-5712	152	26	,	,	PUNCT
ejpam-5712	152	27	q2)f2(q	q2)f2(q	ADJ
ejpam-5712	152	28	,	,	PUNCT
ejpam-5712	152	29	q2)−	q2)−	ADJ
ejpam-5712	152	30	ℓ1	ℓ1	NOUN
ejpam-5712	152	31	√	√	NUM
ejpam-5712	152	32	f1(q	f1(q	NUM
ejpam-5712	152	33	,	,	PUNCT
ejpam-5712	152	34	q2)−	q2)−	PROPN
ejpam-5712	152	35	ℓ3	ℓ3	PROPN
ejpam-5712	152	36	√	√	PROPN
ejpam-5712	152	37	f2(q	f2(q	PROPN
ejpam-5712	152	38	,	,	PUNCT
ejpam-5712	152	39	q2)√	q2)√	NOUN
ejpam-5712	152	40	b(a−	b(a−	PROPN
ejpam-5712	152	41	c	c	PROPN
ejpam-5712	152	42	)	)	PUNCT
ejpam-5712	152	43	)	)	PUNCT
ejpam-5712	152	44	−1	−1	NOUN
ejpam-5712	152	45	dq	dq	NOUN
ejpam-5712	152	46	=	=	SYM
ejpam-5712	153	1	−	−	PROPN
ejpam-5712	153	2	∫	∫	PROPN
ejpam-5712	153	3	dt	dt	X
ejpam-5712	153	4	;	;	PUNCT
ejpam-5712	153	5	a	a	DET
ejpam-5712	153	6	̸=	̸=	PROPN
ejpam-5712	153	7	c	c	PROPN
ejpam-5712	153	8	,	,	PUNCT
ejpam-5712	153	9	(	(	PUNCT
ejpam-5712	153	10	12	12	NUM
ejpam-5712	153	11	)	)	PUNCT
ejpam-5712	153	12	where	where	SCONJ
ejpam-5712	153	13	f1(q	f1(q	X
ejpam-5712	153	14	,	,	PUNCT
ejpam-5712	153	15	q	q	NOUN
ejpam-5712	153	16	2	2	NUM
ejpam-5712	153	17	)	)	PUNCT
ejpam-5712	153	18	=	=	SYM
ejpam-5712	153	19	2ac0c1−c3	2ac0c1−c3	NUM
ejpam-5712	153	20	0−2amgy0ℓ2	0−2amgy0ℓ2	NUM
ejpam-5712	153	21	bcc0	bcc0	NOUN
ejpam-5712	153	22	−	−	PROPN
ejpam-5712	153	23	2amgy0	2amgy0	NUM
ejpam-5712	153	24	cc0	cc0	NOUN
ejpam-5712	153	25	q	q	NOUN
ejpam-5712	154	1	+	+	CCONJ
ejpam-5712	154	2	b−a	b−a	PROPN
ejpam-5712	154	3	c	c	PROPN
ejpam-5712	154	4	q2	q2	PROPN
ejpam-5712	154	5	,	,	PUNCT
ejpam-5712	154	6	f2(q	f2(q	PROPN
ejpam-5712	154	7	,	,	PUNCT
ejpam-5712	154	8	q	q	NOUN
ejpam-5712	154	9	2	2	NUM
ejpam-5712	154	10	)	)	PUNCT
ejpam-5712	154	11	=	=	SYM
ejpam-5712	155	1	c3	c3	PROPN
ejpam-5712	155	2	0−2cc0c1	0−2cc0c1	NUM
ejpam-5712	155	3	+	+	NOUN
ejpam-5712	155	4	2mcgy0ℓ2	2mcgy0ℓ2	ADJ
ejpam-5712	155	5	abc0	abc0	NOUN
ejpam-5712	155	6	+	+	CCONJ
ejpam-5712	155	7	2mcgy0	2mcgy0	NUM
ejpam-5712	155	8	ac0	ac0	NOUN
ejpam-5712	155	9	q	q	NOUN
ejpam-5712	155	10	+	+	NUM
ejpam-5712	155	11	b−c	b−c	NOUN
ejpam-5712	155	12	a	a	DET
ejpam-5712	155	13	q2	q2	NOUN
ejpam-5712	155	14	,	,	PUNCT
ejpam-5712	155	15	f1(q	f1(q	PROPN
ejpam-5712	155	16	,	,	PUNCT
ejpam-5712	155	17	q	q	PROPN
ejpam-5712	155	18	2)f2(q	2)f2(q	NUM
ejpam-5712	155	19	,	,	PUNCT
ejpam-5712	155	20	q	q	NOUN
ejpam-5712	155	21	2	2	NUM
ejpam-5712	155	22	)	)	PUNCT
ejpam-5712	155	23	>	>	X
ejpam-5712	155	24	0	0	X
ejpam-5712	155	25	.	.	PUNCT
ejpam-5712	156	1	therefore	therefore	ADV
ejpam-5712	156	2	,	,	PUNCT
ejpam-5712	156	3	the	the	DET
ejpam-5712	156	4	final	final	ADJ
ejpam-5712	156	5	solution	solution	NOUN
ejpam-5712	156	6	of	of	ADP
ejpam-5712	156	7	(	(	PUNCT
ejpam-5712	156	8	12	12	NUM
ejpam-5712	156	9	)	)	PUNCT
ejpam-5712	156	10	for	for	ADP
ejpam-5712	156	11	q	q	PROPN
ejpam-5712	156	12	is	be	AUX
ejpam-5712	156	13	given	give	VERB
ejpam-5712	156	14	by	by	ADP
ejpam-5712	156	15	the	the	DET
ejpam-5712	156	16	proper	proper	ADJ
ejpam-5712	156	17	elliptical	elliptical	ADJ
ejpam-5712	156	18	integral	integral	ADJ
ejpam-5712	156	19	[	[	X
ejpam-5712	156	20	26	26	NUM
ejpam-5712	156	21	]	]	SYM
ejpam-5712	156	22	.	.	PUNCT
ejpam-5712	157	1	6	6	X
ejpam-5712	157	2	.	.	X
ejpam-5712	157	3	results	result	VERB
ejpam-5712	157	4	discussion	discussion	NOUN
ejpam-5712	157	5	in	in	ADP
ejpam-5712	157	6	this	this	DET
ejpam-5712	157	7	section	section	NOUN
ejpam-5712	157	8	,	,	PUNCT
ejpam-5712	157	9	we	we	PRON
ejpam-5712	157	10	aim	aim	VERB
ejpam-5712	157	11	to	to	PART
ejpam-5712	157	12	present	present	VERB
ejpam-5712	157	13	a	a	DET
ejpam-5712	157	14	graphic	graphic	ADJ
ejpam-5712	157	15	collection	collection	NOUN
ejpam-5712	157	16	of	of	ADP
ejpam-5712	157	17	numerical	numerical	ADJ
ejpam-5712	157	18	outcomes	outcome	NOUN
ejpam-5712	157	19	for	for	ADP
ejpam-5712	157	20	the	the	DET
ejpam-5712	157	21	obtained	obtain	VERB
ejpam-5712	157	22	solutions	solution	NOUN
ejpam-5712	157	23	through	through	ADP
ejpam-5712	157	24	a	a	DET
ejpam-5712	157	25	computer	computer	NOUN
ejpam-5712	157	26	program	program	NOUN
ejpam-5712	157	27	.	.	PUNCT
ejpam-5712	158	1	the	the	DET
ejpam-5712	158	2	subsequent	subsequent	ADJ
ejpam-5712	158	3	data	datum	NOUN
ejpam-5712	158	4	will	will	AUX
ejpam-5712	158	5	be	be	AUX
ejpam-5712	158	6	utilized	utilize	VERB
ejpam-5712	158	7	to	to	PART
ejpam-5712	158	8	ascertain	ascertain	VERB
ejpam-5712	158	9	the	the	DET
ejpam-5712	158	10	movement	movement	NOUN
ejpam-5712	158	11	within	within	ADP
ejpam-5712	158	12	the	the	DET
ejpam-5712	158	13	problem	problem	NOUN
ejpam-5712	158	14	under	under	ADP
ejpam-5712	158	15	consideration	consideration	NOUN
ejpam-5712	158	16	a	a	DET
ejpam-5712	158	17	=	=	SYM
ejpam-5712	158	18	100kg.m2	100kg.m2	NUM
ejpam-5712	158	19	,	,	PUNCT
ejpam-5712	158	20	b	b	X
ejpam-5712	158	21	=	=	SYM
ejpam-5712	158	22	80kg.m2	80kg.m2	NUM
ejpam-5712	158	23	,	,	PUNCT
ejpam-5712	158	24	c	c	X
ejpam-5712	158	25	=	=	SYM
ejpam-5712	158	26	70kg.m2	70kg.m2	NUM
ejpam-5712	158	27	,	,	PUNCT
ejpam-5712	158	28	m	m	VERB
ejpam-5712	158	29	=	=	NOUN
ejpam-5712	158	30	300	300	NUM
ejpam-5712	158	31	kg	kg	NOUN
ejpam-5712	158	32	,	,	PUNCT
ejpam-5712	158	33	g	g	PROPN
ejpam-5712	158	34	=	=	SYM
ejpam-5712	158	35	9.8m	9.8m	PROPN
ejpam-5712	158	36	/	/	SYM
ejpam-5712	158	37	s2	s2	PROPN
ejpam-5712	158	38	,	,	PUNCT
ejpam-5712	158	39	ℓi	ℓi	NOUN
ejpam-5712	158	40	=	=	PUNCT
ejpam-5712	158	41	(	(	PUNCT
ejpam-5712	158	42	10	10	NUM
ejpam-5712	158	43	,	,	PUNCT
ejpam-5712	158	44	30	30	NUM
ejpam-5712	158	45	,	,	PUNCT
ejpam-5712	158	46	50)kg.m2.s−1	50)kg.m2.s−1	NUM
ejpam-5712	158	47	,	,	PUNCT
ejpam-5712	158	48	i	i	PRON
ejpam-5712	158	49	=	=	NOUN
ejpam-5712	158	50	1	1	NUM
ejpam-5712	158	51	,	,	PUNCT
ejpam-5712	158	52	2	2	NUM
ejpam-5712	158	53	,	,	PUNCT
ejpam-5712	158	54	3	3	NUM
ejpam-5712	158	55	.	.	PUNCT
ejpam-5712	159	1	t.	t.	PROPN
ejpam-5712	159	2	s.	s.	PROPN
ejpam-5712	159	3	amer	amer	PROPN
ejpam-5712	159	4	et	et	PROPN
ejpam-5712	159	5	al	al	PROPN
ejpam-5712	159	6	.	.	PUNCT
ejpam-5712	159	7	/	/	SYM
ejpam-5712	159	8	eur	eur	PROPN
ejpam-5712	159	9	.	.	PUNCT
ejpam-5712	160	1	j.	j.	PROPN
ejpam-5712	160	2	pure	pure	PROPN
ejpam-5712	160	3	appl	appl	PROPN
ejpam-5712	160	4	.	.	PROPN
ejpam-5712	160	5	math	math	PROPN
ejpam-5712	160	6	,	,	PUNCT
ejpam-5712	160	7	18	18	NUM
ejpam-5712	160	8	(	(	PUNCT
ejpam-5712	160	9	1	1	NUM
ejpam-5712	160	10	)	)	PUNCT
ejpam-5712	160	11	(	(	PUNCT
ejpam-5712	160	12	2025	2025	NUM
ejpam-5712	160	13	)	)	PUNCT
ejpam-5712	160	14	,	,	PUNCT
ejpam-5712	160	15	5712	5712	NUM
ejpam-5712	160	16	8	8	NUM
ejpam-5712	160	17	of	of	ADP
ejpam-5712	160	18	14	14	NUM
ejpam-5712	160	19	fig.2	fig.2	NOUN
ejpam-5712	160	20	displays	display	VERB
ejpam-5712	160	21	the	the	DET
ejpam-5712	160	22	variation	variation	NOUN
ejpam-5712	160	23	of	of	ADP
ejpam-5712	160	24	the	the	DET
ejpam-5712	160	25	components	component	NOUN
ejpam-5712	160	26	p	p	X
ejpam-5712	160	27	,	,	PUNCT
ejpam-5712	160	28	q	q	X
ejpam-5712	160	29	,	,	PUNCT
ejpam-5712	160	30	and	and	CCONJ
ejpam-5712	160	31	r	r	NOUN
ejpam-5712	160	32	with	with	ADP
ejpam-5712	160	33	time	time	NOUN
ejpam-5712	160	34	t	t	NOUN
ejpam-5712	160	35	when	when	SCONJ
ejpam-5712	160	36	the	the	DET
ejpam-5712	160	37	value	value	NOUN
ejpam-5712	160	38	of	of	ADP
ejpam-5712	160	39	the	the	DET
ejpam-5712	160	40	first	first	ADJ
ejpam-5712	160	41	component	component	NOUN
ejpam-5712	160	42	of	of	ADP
ejpam-5712	160	43	the	the	DET
ejpam-5712	160	44	gm	gm	PROPN
ejpam-5712	160	45	varies	vary	VERB
ejpam-5712	160	46	as	as	ADP
ejpam-5712	160	47	ℓ1	ℓ1	NOUN
ejpam-5712	160	48	=	=	SYM
ejpam-5712	160	49	(	(	PUNCT
ejpam-5712	160	50	10	10	NUM
ejpam-5712	160	51	,	,	PUNCT
ejpam-5712	160	52	30	30	NUM
ejpam-5712	160	53	,	,	PUNCT
ejpam-5712	160	54	50)kg.m2.s−1	50)kg.m2.s−1	NUM
ejpam-5712	160	55	,	,	PUNCT
ejpam-5712	160	56	while	while	SCONJ
ejpam-5712	160	57	the	the	DET
ejpam-5712	160	58	other	other	ADJ
ejpam-5712	160	59	two	two	NUM
ejpam-5712	160	60	components	component	NOUN
ejpam-5712	160	61	ℓ2	ℓ2	NOUN
ejpam-5712	160	62	,	,	PUNCT
ejpam-5712	160	63	ℓ3	ℓ3	PROPN
ejpam-5712	160	64	remain	remain	AUX
ejpam-5712	160	65	fixed	fix	VERB
ejpam-5712	160	66	at	at	ADP
ejpam-5712	160	67	10kg.m2.s−1	10kg.m2.s−1	NUM
ejpam-5712	160	68	.	.	PUNCT
ejpam-5712	161	1	in	in	ADP
ejpam-5712	161	2	fig.(2a	fig.(2a	PROPN
ejpam-5712	161	3	)	)	PUNCT
ejpam-5712	161	4	,	,	PUNCT
ejpam-5712	161	5	the	the	DET
ejpam-5712	161	6	red	red	ADJ
ejpam-5712	161	7	curve	curve	NOUN
ejpam-5712	161	8	starts	start	VERB
ejpam-5712	161	9	from	from	ADP
ejpam-5712	161	10	an	an	DET
ejpam-5712	161	11	initial	initial	ADJ
ejpam-5712	161	12	value	value	NOUN
ejpam-5712	161	13	close	close	ADV
ejpam-5712	161	14	to	to	ADP
ejpam-5712	161	15	0	0	NUM
ejpam-5712	161	16	and	and	CCONJ
ejpam-5712	161	17	gradually	gradually	ADV
ejpam-5712	161	18	increases	increase	VERB
ejpam-5712	161	19	until	until	SCONJ
ejpam-5712	161	20	it	it	PRON
ejpam-5712	161	21	plateaus	plateaus	ADV
ejpam-5712	161	22	at	at	ADP
ejpam-5712	161	23	around	around	ADV
ejpam-5712	161	24	20	20	NUM
ejpam-5712	161	25	.	.	PUNCT
ejpam-5712	162	1	the	the	DET
ejpam-5712	162	2	curve	curve	NOUN
ejpam-5712	162	3	reaches	reach	VERB
ejpam-5712	162	4	its	its	PRON
ejpam-5712	162	5	maximum	maximum	NOUN
ejpam-5712	162	6	faster	fast	ADV
ejpam-5712	162	7	in	in	ADP
ejpam-5712	162	8	the	the	DET
ejpam-5712	162	9	beginning	beginning	NOUN
ejpam-5712	162	10	,	,	PUNCT
ejpam-5712	162	11	then	then	ADV
ejpam-5712	162	12	slows	slow	VERB
ejpam-5712	162	13	down	down	ADP
ejpam-5712	162	14	as	as	SCONJ
ejpam-5712	162	15	it	it	PRON
ejpam-5712	162	16	approaches	approach	VERB
ejpam-5712	162	17	its	its	PRON
ejpam-5712	162	18	final	final	ADJ
ejpam-5712	162	19	value	value	NOUN
ejpam-5712	162	20	.	.	PUNCT
ejpam-5712	163	1	the	the	DET
ejpam-5712	163	2	blue	blue	ADJ
ejpam-5712	163	3	curve	curve	NOUN
ejpam-5712	163	4	shows	show	VERB
ejpam-5712	163	5	a	a	DET
ejpam-5712	163	6	similar	similar	ADJ
ejpam-5712	163	7	behavior	behavior	NOUN
ejpam-5712	163	8	,	,	PUNCT
ejpam-5712	163	9	but	but	CCONJ
ejpam-5712	163	10	it	it	PRON
ejpam-5712	163	11	starts	start	VERB
ejpam-5712	163	12	from	from	ADP
ejpam-5712	163	13	a	a	DET
ejpam-5712	163	14	higher	high	ADJ
ejpam-5712	163	15	initial	initial	ADJ
ejpam-5712	163	16	value	value	NOUN
ejpam-5712	163	17	,	,	PUNCT
ejpam-5712	163	18	eventually	eventually	ADV
ejpam-5712	163	19	stabilizing	stabilize	VERB
ejpam-5712	163	20	near	near	ADP
ejpam-5712	163	21	30	30	NUM
ejpam-5712	163	22	.	.	PUNCT
ejpam-5712	164	1	this	this	DET
ejpam-5712	164	2	curve	curve	NOUN
ejpam-5712	164	3	also	also	ADV
ejpam-5712	164	4	increases	increase	VERB
ejpam-5712	164	5	rapidly	rapidly	ADV
ejpam-5712	164	6	in	in	ADP
ejpam-5712	164	7	the	the	DET
ejpam-5712	164	8	beginning	beginning	NOUN
ejpam-5712	164	9	and	and	CCONJ
ejpam-5712	164	10	then	then	ADV
ejpam-5712	164	11	slows	slow	VERB
ejpam-5712	164	12	as	as	SCONJ
ejpam-5712	164	13	it	it	PRON
ejpam-5712	164	14	approaches	approach	VERB
ejpam-5712	164	15	its	its	PRON
ejpam-5712	164	16	final	final	ADJ
ejpam-5712	164	17	value	value	NOUN
ejpam-5712	164	18	.	.	PUNCT
ejpam-5712	165	1	the	the	DET
ejpam-5712	165	2	black	black	ADJ
ejpam-5712	165	3	curve	curve	NOUN
ejpam-5712	165	4	starts	start	VERB
ejpam-5712	165	5	even	even	ADV
ejpam-5712	165	6	higher	higher	ADV
ejpam-5712	165	7	and	and	CCONJ
ejpam-5712	165	8	stabilizes	stabilize	VERB
ejpam-5712	165	9	around	around	ADP
ejpam-5712	165	10	50	50	NUM
ejpam-5712	165	11	.	.	PUNCT
ejpam-5712	166	1	like	like	ADP
ejpam-5712	166	2	the	the	DET
ejpam-5712	166	3	other	other	ADJ
ejpam-5712	166	4	two	two	NUM
ejpam-5712	166	5	,	,	PUNCT
ejpam-5712	166	6	it	it	PRON
ejpam-5712	166	7	rapidly	rapidly	ADV
ejpam-5712	166	8	grows	grow	VERB
ejpam-5712	166	9	at	at	ADP
ejpam-5712	166	10	the	the	DET
ejpam-5712	166	11	start	start	NOUN
ejpam-5712	166	12	and	and	CCONJ
ejpam-5712	166	13	then	then	ADV
ejpam-5712	166	14	slows	slow	VERB
ejpam-5712	166	15	down	down	ADP
ejpam-5712	166	16	as	as	SCONJ
ejpam-5712	166	17	it	it	PRON
ejpam-5712	166	18	levels	level	VERB
ejpam-5712	166	19	off	off	ADP
ejpam-5712	166	20	.	.	PUNCT
ejpam-5712	167	1	as	as	ADP
ejpam-5712	167	2	the	the	DET
ejpam-5712	167	3	value	value	NOUN
ejpam-5712	167	4	of	of	ADP
ejpam-5712	167	5	ℓ1	ℓ1	ADJ
ejpam-5712	167	6	increases	increase	NOUN
ejpam-5712	167	7	,	,	PUNCT
ejpam-5712	167	8	the	the	DET
ejpam-5712	167	9	steady	steady	ADJ
ejpam-5712	167	10	-	-	PUNCT
ejpam-5712	167	11	state	state	NOUN
ejpam-5712	167	12	value	value	NOUN
ejpam-5712	167	13	of	of	ADP
ejpam-5712	167	14	p	p	NOUN
ejpam-5712	167	15	also	also	ADV
ejpam-5712	167	16	increases	increase	VERB
ejpam-5712	167	17	.	.	PUNCT
ejpam-5712	168	1	this	this	PRON
ejpam-5712	168	2	indicates	indicate	VERB
ejpam-5712	168	3	that	that	SCONJ
ejpam-5712	168	4	the	the	DET
ejpam-5712	168	5	angular	angular	ADJ
ejpam-5712	168	6	velocity	velocity	NOUN
ejpam-5712	168	7	component	component	NOUN
ejpam-5712	168	8	p	p	NOUN
ejpam-5712	168	9	grows	grow	VERB
ejpam-5712	168	10	proportionally	proportionally	ADV
ejpam-5712	168	11	to	to	ADP
ejpam-5712	168	12	the	the	DET
ejpam-5712	168	13	applied	apply	VERB
ejpam-5712	168	14	torque	torque	NOUN
ejpam-5712	168	15	and	and	CCONJ
ejpam-5712	168	16	stabilizes	stabilize	VERB
ejpam-5712	168	17	over	over	ADP
ejpam-5712	168	18	time	time	NOUN
ejpam-5712	168	19	.	.	PUNCT
ejpam-5712	169	1	in	in	ADP
ejpam-5712	169	2	fig.(2b	fig.(2b	PROPN
ejpam-5712	169	3	)	)	PUNCT
ejpam-5712	169	4	,	,	PUNCT
ejpam-5712	169	5	the	the	DET
ejpam-5712	169	6	red	red	ADJ
ejpam-5712	169	7	curve	curve	NOUN
ejpam-5712	169	8	starts	start	VERB
ejpam-5712	169	9	negative	negative	ADJ
ejpam-5712	169	10	and	and	CCONJ
ejpam-5712	169	11	rapidly	rapidly	ADV
ejpam-5712	169	12	decreases	decrease	VERB
ejpam-5712	169	13	to	to	ADP
ejpam-5712	169	14	approximately	approximately	ADV
ejpam-5712	169	15	−50	−50	ADJ
ejpam-5712	169	16	,	,	PUNCT
ejpam-5712	169	17	stabilizing	stabilize	VERB
ejpam-5712	169	18	after	after	ADP
ejpam-5712	169	19	a	a	DET
ejpam-5712	169	20	short	short	ADJ
ejpam-5712	169	21	period	period	NOUN
ejpam-5712	169	22	.	.	PUNCT
ejpam-5712	170	1	the	the	DET
ejpam-5712	170	2	blue	blue	ADJ
ejpam-5712	170	3	curve	curve	NOUN
ejpam-5712	170	4	also	also	ADV
ejpam-5712	170	5	decreases	decrease	VERB
ejpam-5712	170	6	rapidly	rapidly	ADV
ejpam-5712	170	7	,	,	PUNCT
ejpam-5712	170	8	but	but	CCONJ
ejpam-5712	170	9	it	it	PRON
ejpam-5712	170	10	stabilizes	stabilize	VERB
ejpam-5712	170	11	at	at	ADP
ejpam-5712	170	12	a	a	DET
ejpam-5712	170	13	more	more	ADV
ejpam-5712	170	14	negative	negative	ADJ
ejpam-5712	170	15	value	value	NOUN
ejpam-5712	170	16	(	(	PUNCT
ejpam-5712	170	17	around	around	ADP
ejpam-5712	170	18	−100	−100	NOUN
ejpam-5712	170	19	)	)	PUNCT
ejpam-5712	170	20	.	.	PUNCT
ejpam-5712	171	1	the	the	DET
ejpam-5712	171	2	black	black	ADJ
ejpam-5712	171	3	curve	curve	NOUN
ejpam-5712	171	4	stabilizes	stabilize	VERB
ejpam-5712	171	5	at	at	ADP
ejpam-5712	171	6	the	the	DET
ejpam-5712	171	7	most	most	ADV
ejpam-5712	171	8	negative	negative	ADJ
ejpam-5712	171	9	value	value	NOUN
ejpam-5712	171	10	,	,	PUNCT
ejpam-5712	171	11	around	around	ADP
ejpam-5712	171	12	−150	−150	PROPN
ejpam-5712	171	13	,	,	PUNCT
ejpam-5712	171	14	after	after	ADP
ejpam-5712	171	15	an	an	DET
ejpam-5712	171	16	initial	initial	ADJ
ejpam-5712	171	17	rapid	rapid	ADJ
ejpam-5712	171	18	decrease	decrease	NOUN
ejpam-5712	171	19	.	.	PUNCT
ejpam-5712	172	1	the	the	DET
ejpam-5712	172	2	angular	angular	ADJ
ejpam-5712	172	3	velocity	velocity	NOUN
ejpam-5712	172	4	component	component	NOUN
ejpam-5712	172	5	q	q	NOUN
ejpam-5712	172	6	decreases	decrease	VERB
ejpam-5712	172	7	and	and	CCONJ
ejpam-5712	172	8	stabilizes	stabilize	VERB
ejpam-5712	172	9	at	at	ADP
ejpam-5712	172	10	increasingly	increasingly	ADV
ejpam-5712	172	11	negative	negative	ADJ
ejpam-5712	172	12	values	value	NOUN
ejpam-5712	172	13	as	as	ADP
ejpam-5712	172	14	the	the	DET
ejpam-5712	172	15	gyrostatic	gyrostatic	ADJ
ejpam-5712	172	16	torque	torque	NOUN
ejpam-5712	172	17	ℓ1	ℓ1	NOUN
ejpam-5712	172	18	increases	increase	NOUN
ejpam-5712	172	19	,	,	PUNCT
ejpam-5712	172	20	which	which	PRON
ejpam-5712	172	21	suggests	suggest	VERB
ejpam-5712	172	22	a	a	DET
ejpam-5712	172	23	relationship	relationship	NOUN
ejpam-5712	172	24	where	where	SCONJ
ejpam-5712	172	25	a	a	DET
ejpam-5712	172	26	stronger	strong	ADJ
ejpam-5712	172	27	torque	torque	NOUN
ejpam-5712	172	28	leads	lead	VERB
ejpam-5712	172	29	to	to	ADP
ejpam-5712	172	30	a	a	DET
ejpam-5712	172	31	higher	high	ADJ
ejpam-5712	172	32	magnitude	magnitude	NOUN
ejpam-5712	172	33	(	(	PUNCT
ejpam-5712	172	34	in	in	ADP
ejpam-5712	172	35	the	the	DET
ejpam-5712	172	36	negative	negative	ADJ
ejpam-5712	172	37	direction	direction	NOUN
ejpam-5712	172	38	)	)	PUNCT
ejpam-5712	172	39	of	of	ADP
ejpam-5712	172	40	q.	q.	PROPN
ejpam-5712	172	41	in	in	ADP
ejpam-5712	172	42	fig.(2c	fig.(2c	PROPN
ejpam-5712	172	43	)	)	PUNCT
ejpam-5712	172	44	,	,	PUNCT
ejpam-5712	172	45	the	the	DET
ejpam-5712	172	46	red	red	ADJ
ejpam-5712	172	47	curve	curve	NOUN
ejpam-5712	172	48	starts	start	VERB
ejpam-5712	172	49	from	from	ADP
ejpam-5712	172	50	a	a	DET
ejpam-5712	172	51	higher	high	ADJ
ejpam-5712	172	52	value	value	NOUN
ejpam-5712	172	53	around	around	ADP
ejpam-5712	172	54	0.6	0.6	NUM
ejpam-5712	172	55	and	and	CCONJ
ejpam-5712	172	56	gradually	gradually	ADV
ejpam-5712	172	57	decreases	decrease	VERB
ejpam-5712	172	58	over	over	ADP
ejpam-5712	172	59	time	time	NOUN
ejpam-5712	172	60	until	until	SCONJ
ejpam-5712	172	61	it	it	PRON
ejpam-5712	172	62	nearly	nearly	ADV
ejpam-5712	172	63	reaches	reach	VERB
ejpam-5712	172	64	zero	zero	NUM
ejpam-5712	172	65	.	.	PUNCT
ejpam-5712	173	1	the	the	DET
ejpam-5712	173	2	blue	blue	ADJ
ejpam-5712	173	3	curve	curve	NOUN
ejpam-5712	173	4	starts	start	VERB
ejpam-5712	173	5	higher	high	ADJ
ejpam-5712	173	6	than	than	ADP
ejpam-5712	173	7	the	the	DET
ejpam-5712	173	8	red	red	ADJ
ejpam-5712	173	9	one	one	NOUN
ejpam-5712	173	10	and	and	CCONJ
ejpam-5712	173	11	also	also	ADV
ejpam-5712	173	12	decreases	decrease	VERB
ejpam-5712	173	13	rapidly	rapidly	ADV
ejpam-5712	173	14	,	,	PUNCT
ejpam-5712	173	15	stabilizing	stabilize	VERB
ejpam-5712	173	16	close	close	ADV
ejpam-5712	173	17	to	to	ADP
ejpam-5712	173	18	zero	zero	NUM
ejpam-5712	173	19	.	.	PUNCT
ejpam-5712	174	1	the	the	DET
ejpam-5712	174	2	black	black	ADJ
ejpam-5712	174	3	curve	curve	NOUN
ejpam-5712	174	4	begins	begin	VERB
ejpam-5712	174	5	from	from	ADP
ejpam-5712	174	6	the	the	DET
ejpam-5712	174	7	highest	high	ADJ
ejpam-5712	174	8	initial	initial	ADJ
ejpam-5712	174	9	value	value	NOUN
ejpam-5712	174	10	and	and	CCONJ
ejpam-5712	174	11	then	then	ADV
ejpam-5712	174	12	follows	follow	VERB
ejpam-5712	174	13	a	a	DET
ejpam-5712	174	14	similar	similar	ADJ
ejpam-5712	174	15	trend	trend	NOUN
ejpam-5712	174	16	,	,	PUNCT
ejpam-5712	174	17	rapidly	rapidly	ADV
ejpam-5712	174	18	decreasing	decrease	VERB
ejpam-5712	174	19	and	and	CCONJ
ejpam-5712	174	20	stabilizing	stabilize	VERB
ejpam-5712	174	21	near	near	ADP
ejpam-5712	174	22	zero	zero	NUM
ejpam-5712	174	23	.	.	PUNCT
ejpam-5712	175	1	the	the	DET
ejpam-5712	175	2	angular	angular	ADJ
ejpam-5712	175	3	velocity	velocity	NOUN
ejpam-5712	175	4	component	component	NOUN
ejpam-5712	175	5	r	r	NOUN
ejpam-5712	175	6	starts	start	VERB
ejpam-5712	175	7	higher	high	ADJ
ejpam-5712	175	8	for	for	ADP
ejpam-5712	175	9	larger	large	ADJ
ejpam-5712	175	10	values	value	NOUN
ejpam-5712	175	11	of	of	ADP
ejpam-5712	175	12	ℓ1	ℓ1	NOUN
ejpam-5712	175	13	,	,	PUNCT
ejpam-5712	175	14	but	but	CCONJ
ejpam-5712	175	15	all	all	DET
ejpam-5712	175	16	curves	curve	NOUN
ejpam-5712	175	17	eventually	eventually	ADV
ejpam-5712	175	18	approach	approach	VERB
ejpam-5712	175	19	zero	zero	NUM
ejpam-5712	175	20	.	.	PUNCT
ejpam-5712	176	1	this	this	DET
ejpam-5712	176	2	behavior	behavior	NOUN
ejpam-5712	176	3	shows	show	VERB
ejpam-5712	176	4	that	that	SCONJ
ejpam-5712	176	5	r	r	NOUN
ejpam-5712	176	6	tends	tend	VERB
ejpam-5712	176	7	to	to	PART
ejpam-5712	176	8	decay	decay	VERB
ejpam-5712	176	9	over	over	ADP
ejpam-5712	176	10	time	time	NOUN
ejpam-5712	176	11	and	and	CCONJ
ejpam-5712	176	12	reach	reach	VERB
ejpam-5712	176	13	a	a	DET
ejpam-5712	176	14	small	small	ADJ
ejpam-5712	176	15	or	or	CCONJ
ejpam-5712	176	16	negligible	negligible	ADJ
ejpam-5712	176	17	value	value	NOUN
ejpam-5712	176	18	,	,	PUNCT
ejpam-5712	176	19	regardless	regardless	ADV
ejpam-5712	176	20	of	of	ADP
ejpam-5712	176	21	the	the	DET
ejpam-5712	176	22	torque	torque	NOUN
ejpam-5712	176	23	,	,	PUNCT
ejpam-5712	176	24	but	but	CCONJ
ejpam-5712	176	25	stronger	strong	ADJ
ejpam-5712	176	26	torques	torque	NOUN
ejpam-5712	176	27	cause	cause	VERB
ejpam-5712	176	28	it	it	PRON
ejpam-5712	176	29	to	to	PART
ejpam-5712	176	30	initially	initially	ADV
ejpam-5712	176	31	start	start	VERB
ejpam-5712	176	32	at	at	ADP
ejpam-5712	176	33	higher	high	ADJ
ejpam-5712	176	34	values	value	NOUN
ejpam-5712	176	35	.	.	PUNCT
ejpam-5712	177	1	consequently	consequently	ADV
ejpam-5712	177	2	,	,	PUNCT
ejpam-5712	177	3	increasing	increase	VERB
ejpam-5712	177	4	the	the	DET
ejpam-5712	177	5	gyrostatic	gyrostatic	ADJ
ejpam-5712	177	6	torque	torque	NOUN
ejpam-5712	177	7	changes	change	VERB
ejpam-5712	177	8	the	the	DET
ejpam-5712	177	9	final	final	ADJ
ejpam-5712	177	10	steady	steady	ADJ
ejpam-5712	177	11	-	-	PUNCT
ejpam-5712	177	12	state	state	NOUN
ejpam-5712	177	13	values	value	NOUN
ejpam-5712	177	14	of	of	ADP
ejpam-5712	177	15	p	p	X
ejpam-5712	177	16	,	,	PUNCT
ejpam-5712	177	17	q	q	ADJ
ejpam-5712	177	18	,	,	PUNCT
ejpam-5712	177	19	and	and	CCONJ
ejpam-5712	177	20	r	r	NOUN
ejpam-5712	177	21	and	and	CCONJ
ejpam-5712	177	22	the	the	DET
ejpam-5712	177	23	rate	rate	NOUN
ejpam-5712	177	24	at	at	ADP
ejpam-5712	177	25	which	which	PRON
ejpam-5712	177	26	they	they	PRON
ejpam-5712	177	27	reach	reach	VERB
ejpam-5712	177	28	their	their	PRON
ejpam-5712	177	29	steady	steady	ADJ
ejpam-5712	177	30	states	state	NOUN
ejpam-5712	177	31	.	.	PUNCT
ejpam-5712	178	1	fig.3	fig.3	PROPN
ejpam-5712	178	2	expresses	express	VERB
ejpam-5712	178	3	the	the	DET
ejpam-5712	178	4	variance	variance	NOUN
ejpam-5712	178	5	in	in	ADP
ejpam-5712	178	6	the	the	DET
ejpam-5712	178	7	body	body	NOUN
ejpam-5712	178	8	’s	’s	PART
ejpam-5712	178	9	angular	angular	ADJ
ejpam-5712	178	10	velocity	velocity	NOUN
ejpam-5712	178	11	p	p	NOUN
ejpam-5712	178	12	,	,	PUNCT
ejpam-5712	178	13	q	q	NOUN
ejpam-5712	178	14	and	and	CCONJ
ejpam-5712	178	15	r	r	NOUN
ejpam-5712	178	16	via	via	ADP
ejpam-5712	178	17	time	time	NOUN
ejpam-5712	178	18	t	t	NOUN
ejpam-5712	178	19	for	for	ADP
ejpam-5712	178	20	several	several	ADJ
ejpam-5712	178	21	values	value	NOUN
ejpam-5712	178	22	of	of	ADP
ejpam-5712	178	23	the	the	DET
ejpam-5712	178	24	second	second	ADJ
ejpam-5712	178	25	component	component	NOUN
ejpam-5712	178	26	of	of	ADP
ejpam-5712	178	27	the	the	DET
ejpam-5712	178	28	gm	gm	NOUN
ejpam-5712	178	29	;	;	PUNCT
ejpam-5712	178	30	ℓ2	ℓ2	NOUN
ejpam-5712	178	31	=	=	SYM
ejpam-5712	178	32	10	10	NUM
ejpam-5712	178	33	,	,	PUNCT
ejpam-5712	178	34	30	30	NUM
ejpam-5712	178	35	,	,	PUNCT
ejpam-5712	178	36	50kg.m2.s−1	50kg.m2.s−1	NUM
ejpam-5712	178	37	,	,	PUNCT
ejpam-5712	178	38	meanwhile	meanwhile	ADV
ejpam-5712	178	39	the	the	DET
ejpam-5712	178	40	other	other	ADJ
ejpam-5712	178	41	two	two	NUM
ejpam-5712	178	42	components	component	NOUN
ejpam-5712	178	43	remain	remain	VERB
ejpam-5712	178	44	constat	constat	X
ejpam-5712	178	45	ℓ1	ℓ1	NOUN
ejpam-5712	178	46	=	=	SYM
ejpam-5712	178	47	ℓ3	ℓ3	PROPN
ejpam-5712	178	48	=	=	SYM
ejpam-5712	178	49	10	10	NUM
ejpam-5712	178	50	kg.m2.s−1	kg.m2.s−1	PROPN
ejpam-5712	178	51	.	.	PROPN
ejpam-5712	179	1	in	in	ADP
ejpam-5712	179	2	fig.(3a	fig.(3a	PROPN
ejpam-5712	179	3	)	)	PUNCT
ejpam-5712	179	4	,	,	PUNCT
ejpam-5712	179	5	the	the	DET
ejpam-5712	179	6	red	red	ADJ
ejpam-5712	179	7	curve	curve	NOUN
ejpam-5712	179	8	starts	start	VERB
ejpam-5712	179	9	from	from	ADP
ejpam-5712	179	10	an	an	DET
ejpam-5712	179	11	initial	initial	ADJ
ejpam-5712	179	12	low	low	ADJ
ejpam-5712	179	13	value	value	NOUN
ejpam-5712	179	14	and	and	CCONJ
ejpam-5712	179	15	gradually	gradually	ADV
ejpam-5712	179	16	increases	increase	VERB
ejpam-5712	179	17	to	to	ADP
ejpam-5712	179	18	about	about	ADV
ejpam-5712	179	19	20	20	NUM
ejpam-5712	179	20	.	.	PUNCT
ejpam-5712	180	1	the	the	DET
ejpam-5712	180	2	blue	blue	ADJ
ejpam-5712	180	3	curve	curve	NOUN
ejpam-5712	180	4	starts	start	VERB
ejpam-5712	180	5	higher	high	ADJ
ejpam-5712	180	6	than	than	ADP
ejpam-5712	180	7	the	the	DET
ejpam-5712	180	8	red	red	ADJ
ejpam-5712	180	9	curve	curve	NOUN
ejpam-5712	180	10	and	and	CCONJ
ejpam-5712	180	11	stabilizes	stabilize	VERB
ejpam-5712	180	12	around	around	ADP
ejpam-5712	180	13	30	30	NUM
ejpam-5712	180	14	.	.	PUNCT
ejpam-5712	181	1	the	the	DET
ejpam-5712	181	2	black	black	ADJ
ejpam-5712	181	3	curve	curve	NOUN
ejpam-5712	181	4	begins	begin	VERB
ejpam-5712	181	5	from	from	ADP
ejpam-5712	181	6	the	the	DET
ejpam-5712	181	7	highest	high	ADJ
ejpam-5712	181	8	value	value	NOUN
ejpam-5712	181	9	and	and	CCONJ
ejpam-5712	181	10	stabilizes	stabilize	VERB
ejpam-5712	181	11	near	near	ADP
ejpam-5712	181	12	50	50	NUM
ejpam-5712	181	13	.	.	PUNCT
ejpam-5712	182	1	this	this	DET
ejpam-5712	182	2	behavior	behavior	NOUN
ejpam-5712	182	3	is	be	AUX
ejpam-5712	182	4	similar	similar	ADJ
ejpam-5712	182	5	to	to	ADP
ejpam-5712	182	6	the	the	DET
ejpam-5712	182	7	previous	previous	ADJ
ejpam-5712	182	8	set	set	NOUN
ejpam-5712	182	9	of	of	ADP
ejpam-5712	182	10	graphs	graph	NOUN
ejpam-5712	182	11	for	for	ADP
ejpam-5712	182	12	p.	p.	NOUN
ejpam-5712	182	13	as	as	ADP
ejpam-5712	182	14	ℓ2	ℓ2	NOUN
ejpam-5712	182	15	increases	increase	NOUN
ejpam-5712	182	16	,	,	PUNCT
ejpam-5712	182	17	the	the	DET
ejpam-5712	182	18	final	final	ADJ
ejpam-5712	182	19	stable	stable	ADJ
ejpam-5712	182	20	value	value	NOUN
ejpam-5712	182	21	of	of	ADP
ejpam-5712	182	22	p	p	NOUN
ejpam-5712	182	23	also	also	ADV
ejpam-5712	182	24	increases	increase	VERB
ejpam-5712	182	25	.	.	PUNCT
ejpam-5712	183	1	this	this	PRON
ejpam-5712	183	2	suggests	suggest	VERB
ejpam-5712	183	3	a	a	DET
ejpam-5712	183	4	similar	similar	ADJ
ejpam-5712	183	5	dependency	dependency	NOUN
ejpam-5712	183	6	of	of	ADP
ejpam-5712	183	7	p	p	NOUN
ejpam-5712	183	8	on	on	ADP
ejpam-5712	183	9	ℓ2	ℓ2	NOUN
ejpam-5712	183	10	,	,	PUNCT
ejpam-5712	183	11	where	where	SCONJ
ejpam-5712	183	12	p	p	NOUN
ejpam-5712	183	13	increases	increase	VERB
ejpam-5712	183	14	with	with	ADP
ejpam-5712	183	15	the	the	DET
ejpam-5712	183	16	strength	strength	NOUN
ejpam-5712	183	17	of	of	ADP
ejpam-5712	183	18	ℓ2	ℓ2	PROPN
ejpam-5712	183	19	.	.	PUNCT
ejpam-5712	184	1	in	in	ADP
ejpam-5712	184	2	fig.(3b	fig.(3b	PROPN
ejpam-5712	184	3	)	)	PUNCT
ejpam-5712	184	4	,	,	PUNCT
ejpam-5712	184	5	the	the	DET
ejpam-5712	184	6	red	red	ADJ
ejpam-5712	184	7	curve	curve	NOUN
ejpam-5712	184	8	decreases	decrease	NOUN
ejpam-5712	184	9	and	and	CCONJ
ejpam-5712	184	10	stabilizes	stabilize	VERB
ejpam-5712	184	11	around	around	ADP
ejpam-5712	184	12	−50	−50	NOUN
ejpam-5712	184	13	.	.	PUNCT
ejpam-5712	185	1	the	the	DET
ejpam-5712	185	2	blue	blue	ADJ
ejpam-5712	185	3	curve	curve	NOUN
ejpam-5712	185	4	decreases	decrease	VERB
ejpam-5712	185	5	more	more	ADV
ejpam-5712	185	6	and	and	CCONJ
ejpam-5712	185	7	stabilizes	stabilize	VERB
ejpam-5712	185	8	around	around	ADP
ejpam-5712	185	9	−100	−100	NOUN
ejpam-5712	185	10	.	.	PUNCT
ejpam-5712	186	1	the	the	DET
ejpam-5712	186	2	black	black	ADJ
ejpam-5712	186	3	curve	curve	NOUN
ejpam-5712	186	4	decreases	decrease	VERB
ejpam-5712	186	5	even	even	ADV
ejpam-5712	186	6	further	far	ADV
ejpam-5712	186	7	,	,	PUNCT
ejpam-5712	186	8	stabilizing	stabilize	VERB
ejpam-5712	186	9	around	around	ADP
ejpam-5712	186	10	−150	−150	PROPN
ejpam-5712	186	11	.	.	PUNCT
ejpam-5712	187	1	like	like	ADP
ejpam-5712	187	2	the	the	DET
ejpam-5712	187	3	previous	previous	ADJ
ejpam-5712	187	4	graphs	graph	NOUN
ejpam-5712	187	5	,	,	PUNCT
ejpam-5712	187	6	q	q	NOUN
ejpam-5712	187	7	decreases	decrease	NOUN
ejpam-5712	187	8	and	and	CCONJ
ejpam-5712	187	9	reaches	reach	VERB
ejpam-5712	187	10	increasingly	increasingly	ADV
ejpam-5712	187	11	negative	negative	ADJ
ejpam-5712	187	12	steady	steady	ADJ
ejpam-5712	187	13	-	-	PUNCT
ejpam-5712	187	14	state	state	NOUN
ejpam-5712	187	15	values	value	NOUN
ejpam-5712	187	16	as	as	ADP
ejpam-5712	187	17	ℓ2	ℓ2	NOUN
ejpam-5712	187	18	increases	increase	NOUN
ejpam-5712	187	19	.	.	PUNCT
ejpam-5712	188	1	the	the	PRON
ejpam-5712	188	2	stronger	strong	ADJ
ejpam-5712	188	3	the	the	DET
ejpam-5712	188	4	torque	torque	NOUN
ejpam-5712	188	5	ℓ2	ℓ2	NOUN
ejpam-5712	188	6	,	,	PUNCT
ejpam-5712	188	7	the	the	DET
ejpam-5712	188	8	more	more	ADV
ejpam-5712	188	9	negative	negative	ADJ
ejpam-5712	188	10	the	the	DET
ejpam-5712	188	11	final	final	ADJ
ejpam-5712	188	12	steady	steady	ADJ
ejpam-5712	188	13	-	-	PUNCT
ejpam-5712	188	14	state	state	NOUN
ejpam-5712	188	15	value	value	NOUN
ejpam-5712	188	16	of	of	ADP
ejpam-5712	188	17	q	q	PROPN
ejpam-5712	188	18	.	.	PUNCT
ejpam-5712	189	1	in	in	ADP
ejpam-5712	189	2	fig.(3c	fig.(3c	NOUN
ejpam-5712	189	3	)	)	PUNCT
ejpam-5712	189	4	,	,	PUNCT
ejpam-5712	189	5	the	the	DET
ejpam-5712	189	6	red	red	ADJ
ejpam-5712	189	7	curve	curve	NOUN
ejpam-5712	189	8	starts	start	VERB
ejpam-5712	189	9	at	at	ADP
ejpam-5712	189	10	around	around	ADP
ejpam-5712	189	11	0.6	0.6	NUM
ejpam-5712	189	12	and	and	CCONJ
ejpam-5712	189	13	decreases	decrease	VERB
ejpam-5712	189	14	toward	toward	ADP
ejpam-5712	189	15	zero	zero	NUM
ejpam-5712	189	16	.	.	PUNCT
ejpam-5712	190	1	the	the	DET
ejpam-5712	190	2	blue	blue	ADJ
ejpam-5712	190	3	curve	curve	NOUN
ejpam-5712	190	4	starts	start	VERB
ejpam-5712	190	5	from	from	ADP
ejpam-5712	190	6	a	a	DET
ejpam-5712	190	7	slightly	slightly	ADV
ejpam-5712	190	8	higher	high	ADJ
ejpam-5712	190	9	value	value	NOUN
ejpam-5712	190	10	than	than	ADP
ejpam-5712	190	11	the	the	DET
ejpam-5712	190	12	red	red	ADJ
ejpam-5712	190	13	curve	curve	NOUN
ejpam-5712	190	14	and	and	CCONJ
ejpam-5712	190	15	decreases	decrease	VERB
ejpam-5712	190	16	rapidly	rapidly	ADV
ejpam-5712	190	17	.	.	PUNCT
ejpam-5712	191	1	the	the	DET
ejpam-5712	191	2	black	black	ADJ
ejpam-5712	191	3	curve	curve	NOUN
ejpam-5712	191	4	starts	start	VERB
ejpam-5712	191	5	from	from	ADP
ejpam-5712	191	6	the	the	DET
ejpam-5712	191	7	highest	high	ADJ
ejpam-5712	191	8	value	value	NOUN
ejpam-5712	191	9	and	and	CCONJ
ejpam-5712	191	10	decreases	decrease	NOUN
ejpam-5712	191	11	faster	fast	ADV
ejpam-5712	191	12	than	than	ADP
ejpam-5712	191	13	the	the	DET
ejpam-5712	191	14	others	other	NOUN
ejpam-5712	191	15	,	,	PUNCT
ejpam-5712	191	16	stabilizing	stabilize	VERB
ejpam-5712	191	17	t.	t.	PROPN
ejpam-5712	191	18	s.	s.	PROPN
ejpam-5712	191	19	amer	amer	PROPN
ejpam-5712	191	20	et	et	PROPN
ejpam-5712	191	21	al	al	PROPN
ejpam-5712	191	22	.	.	PUNCT
ejpam-5712	191	23	/	/	SYM
ejpam-5712	191	24	eur	eur	PROPN
ejpam-5712	191	25	.	.	PUNCT
ejpam-5712	192	1	j.	j.	PROPN
ejpam-5712	192	2	pure	pure	PROPN
ejpam-5712	192	3	appl	appl	PROPN
ejpam-5712	192	4	.	.	PROPN
ejpam-5712	192	5	math	math	PROPN
ejpam-5712	192	6	,	,	PUNCT
ejpam-5712	192	7	18	18	NUM
ejpam-5712	192	8	(	(	PUNCT
ejpam-5712	192	9	1	1	NUM
ejpam-5712	192	10	)	)	PUNCT
ejpam-5712	192	11	(	(	PUNCT
ejpam-5712	192	12	2025	2025	NUM
ejpam-5712	192	13	)	)	PUNCT
ejpam-5712	192	14	,	,	PUNCT
ejpam-5712	192	15	5712	5712	NUM
ejpam-5712	192	16	9	9	NUM
ejpam-5712	192	17	of	of	ADP
ejpam-5712	192	18	14	14	NUM
ejpam-5712	192	19	figure	figure	NOUN
ejpam-5712	192	20	2	2	NUM
ejpam-5712	192	21	:	:	PUNCT
ejpam-5712	192	22	presents	present	VERB
ejpam-5712	192	23	the	the	DET
ejpam-5712	192	24	time	time	NOUN
ejpam-5712	192	25	-	-	PUNCT
ejpam-5712	192	26	dependent	dependent	ADJ
ejpam-5712	192	27	change	change	NOUN
ejpam-5712	192	28	of	of	ADP
ejpam-5712	192	29	p	p	X
ejpam-5712	192	30	,	,	PUNCT
ejpam-5712	192	31	q	q	X
ejpam-5712	192	32	,	,	PUNCT
ejpam-5712	192	33	and	and	CCONJ
ejpam-5712	192	34	r	r	NOUN
ejpam-5712	192	35	when	when	SCONJ
ejpam-5712	192	36	ℓ1	ℓ1	NOUN
ejpam-5712	192	37	=	=	SYM
ejpam-5712	192	38	(	(	PUNCT
ejpam-5712	192	39	10	10	NUM
ejpam-5712	192	40	,	,	PUNCT
ejpam-5712	192	41	30	30	NUM
ejpam-5712	192	42	,	,	PUNCT
ejpam-5712	192	43	50)kg.m2.s−1	50)kg.m2.s−1	NUM
ejpam-5712	192	44	,	,	PUNCT
ejpam-5712	192	45	while	while	SCONJ
ejpam-5712	192	46	ℓ2	ℓ2	NOUN
ejpam-5712	192	47	,	,	PUNCT
ejpam-5712	192	48	ℓ3	ℓ3	PROPN
ejpam-5712	192	49	=	=	PUNCT
ejpam-5712	192	50	10kg.m2.s−1	10kg.m2.s−1	NUM
ejpam-5712	192	51	.	.	PUNCT
ejpam-5712	193	1	near	near	ADP
ejpam-5712	193	2	zero	zero	NUM
ejpam-5712	193	3	.	.	PUNCT
ejpam-5712	194	1	the	the	DET
ejpam-5712	194	2	angular	angular	ADJ
ejpam-5712	194	3	velocity	velocity	NOUN
ejpam-5712	194	4	component	component	NOUN
ejpam-5712	194	5	r	r	NOUN
ejpam-5712	194	6	starts	start	VERB
ejpam-5712	194	7	at	at	ADP
ejpam-5712	194	8	a	a	DET
ejpam-5712	194	9	higher	high	ADJ
ejpam-5712	194	10	value	value	NOUN
ejpam-5712	194	11	when	when	SCONJ
ejpam-5712	194	12	ℓ2	ℓ2	NOUN
ejpam-5712	194	13	is	be	AUX
ejpam-5712	194	14	larger	large	ADJ
ejpam-5712	194	15	but	but	CCONJ
ejpam-5712	194	16	decays	decay	NOUN
ejpam-5712	194	17	toward	toward	ADP
ejpam-5712	194	18	zero	zero	NUM
ejpam-5712	194	19	in	in	ADP
ejpam-5712	194	20	all	all	DET
ejpam-5712	194	21	cases	case	NOUN
ejpam-5712	194	22	.	.	PUNCT
ejpam-5712	195	1	similar	similar	ADJ
ejpam-5712	195	2	to	to	ADP
ejpam-5712	195	3	the	the	DET
ejpam-5712	195	4	previous	previous	ADJ
ejpam-5712	195	5	set	set	NOUN
ejpam-5712	195	6	,	,	PUNCT
ejpam-5712	195	7	r	r	NOUN
ejpam-5712	195	8	shows	show	VERB
ejpam-5712	195	9	an	an	DET
ejpam-5712	195	10	initial	initial	ADJ
ejpam-5712	195	11	dependence	dependence	NOUN
ejpam-5712	195	12	on	on	ADP
ejpam-5712	195	13	ℓ2	ℓ2	NOUN
ejpam-5712	195	14	but	but	CCONJ
ejpam-5712	195	15	eventually	eventually	ADV
ejpam-5712	195	16	decreases	decrease	VERB
ejpam-5712	195	17	toward	toward	ADP
ejpam-5712	195	18	a	a	DET
ejpam-5712	195	19	negligible	negligible	ADJ
ejpam-5712	195	20	value	value	NOUN
ejpam-5712	195	21	for	for	ADP
ejpam-5712	195	22	all	all	DET
ejpam-5712	195	23	values	value	NOUN
ejpam-5712	195	24	of	of	ADP
ejpam-5712	195	25	ℓ2	ℓ2	NOUN
ejpam-5712	195	26	.	.	PUNCT
ejpam-5712	196	1	the	the	DET
ejpam-5712	196	2	consistency	consistency	NOUN
ejpam-5712	196	3	between	between	ADP
ejpam-5712	196	4	the	the	DET
ejpam-5712	196	5	two	two	NUM
ejpam-5712	196	6	sets	set	NOUN
ejpam-5712	196	7	of	of	ADP
ejpam-5712	196	8	graphs	graph	NOUN
ejpam-5712	196	9	for	for	ADP
ejpam-5712	196	10	ℓ1	ℓ1	NOUN
ejpam-5712	196	11	and	and	CCONJ
ejpam-5712	196	12	ℓ2	ℓ2	NOUN
ejpam-5712	196	13	suggests	suggest	VERB
ejpam-5712	196	14	that	that	SCONJ
ejpam-5712	196	15	both	both	DET
ejpam-5712	196	16	torque	torque	NOUN
ejpam-5712	196	17	components	component	NOUN
ejpam-5712	196	18	(	(	PUNCT
ejpam-5712	196	19	ℓ1	ℓ1	NOUN
ejpam-5712	196	20	and	and	CCONJ
ejpam-5712	196	21	ℓ2	ℓ2	NOUN
ejpam-5712	196	22	)	)	PUNCT
ejpam-5712	196	23	influence	influence	NOUN
ejpam-5712	196	24	the	the	DET
ejpam-5712	196	25	system	system	NOUN
ejpam-5712	196	26	similarly	similarly	ADV
ejpam-5712	196	27	,	,	PUNCT
ejpam-5712	196	28	at	at	ADP
ejpam-5712	196	29	least	least	ADJ
ejpam-5712	196	30	in	in	ADP
ejpam-5712	196	31	terms	term	NOUN
ejpam-5712	196	32	of	of	ADP
ejpam-5712	196	33	the	the	DET
ejpam-5712	196	34	time	time	NOUN
ejpam-5712	196	35	evolution	evolution	NOUN
ejpam-5712	196	36	of	of	ADP
ejpam-5712	196	37	p	p	X
ejpam-5712	196	38	,	,	PUNCT
ejpam-5712	196	39	q	q	X
ejpam-5712	196	40	,	,	PUNCT
ejpam-5712	196	41	and	and	CCONJ
ejpam-5712	196	42	r.	r.	NOUN
ejpam-5712	196	43	this	this	PRON
ejpam-5712	196	44	suggests	suggest	VERB
ejpam-5712	196	45	that	that	SCONJ
ejpam-5712	196	46	these	these	DET
ejpam-5712	196	47	angular	angular	ADJ
ejpam-5712	196	48	velocity	velocity	NOUN
ejpam-5712	196	49	components	component	NOUN
ejpam-5712	196	50	are	be	AUX
ejpam-5712	196	51	primarily	primarily	ADV
ejpam-5712	196	52	influenced	influence	VERB
ejpam-5712	196	53	by	by	ADP
ejpam-5712	196	54	the	the	DET
ejpam-5712	196	55	magnitude	magnitude	NOUN
ejpam-5712	196	56	of	of	ADP
ejpam-5712	196	57	the	the	DET
ejpam-5712	196	58	torque	torque	NOUN
ejpam-5712	196	59	applied	apply	VERB
ejpam-5712	196	60	,	,	PUNCT
ejpam-5712	196	61	whether	whether	SCONJ
ejpam-5712	196	62	it	it	PRON
ejpam-5712	196	63	is	be	AUX
ejpam-5712	196	64	ℓ1	ℓ1	ADJ
ejpam-5712	196	65	and	and	CCONJ
ejpam-5712	196	66	ℓ2	ℓ2	NOUN
ejpam-5712	196	67	.	.	PUNCT
ejpam-5712	197	1	fig.4	fig.4	PROPN
ejpam-5712	197	2	shows	show	VERB
ejpam-5712	197	3	the	the	DET
ejpam-5712	197	4	temporal	temporal	ADJ
ejpam-5712	197	5	change	change	NOUN
ejpam-5712	197	6	of	of	ADP
ejpam-5712	197	7	p	p	NOUN
ejpam-5712	197	8	,	,	PUNCT
ejpam-5712	197	9	q	q	PUNCT
ejpam-5712	197	10	and	and	CCONJ
ejpam-5712	197	11	r	r	NOUN
ejpam-5712	197	12	when	when	SCONJ
ejpam-5712	197	13	the	the	DET
ejpam-5712	197	14	value	value	NOUN
ejpam-5712	197	15	of	of	ADP
ejpam-5712	197	16	the	the	DET
ejpam-5712	197	17	third	third	ADJ
ejpam-5712	197	18	component	component	NOUN
ejpam-5712	197	19	of	of	ADP
ejpam-5712	197	20	the	the	DET
ejpam-5712	197	21	gm	gm	PROPN
ejpam-5712	197	22	varies	vary	VERB
ejpam-5712	197	23	as	as	ADP
ejpam-5712	197	24	ℓ3	ℓ3	PROPN
ejpam-5712	197	25	=	=	PROPN
ejpam-5712	197	26	10	10	NUM
ejpam-5712	197	27	,	,	PUNCT
ejpam-5712	197	28	30	30	NUM
ejpam-5712	197	29	,	,	PUNCT
ejpam-5712	197	30	50kg.m2.s−1	50kg.m2.s−1	NUM
ejpam-5712	197	31	,	,	PUNCT
ejpam-5712	197	32	whereas	whereas	SCONJ
ejpam-5712	197	33	the	the	DET
ejpam-5712	197	34	other	other	ADJ
ejpam-5712	197	35	two	two	NUM
ejpam-5712	197	36	components	component	NOUN
ejpam-5712	197	37	remain	remain	VERB
ejpam-5712	197	38	constat	constat	X
ejpam-5712	197	39	ℓ1	ℓ1	NOUN
ejpam-5712	197	40	=	=	SYM
ejpam-5712	197	41	ℓ2	ℓ2	NOUN
ejpam-5712	197	42	=	=	SYM
ejpam-5712	197	43	10	10	NUM
ejpam-5712	197	44	kg.m2.s−1	kg.m2.s−1	PROPN
ejpam-5712	197	45	.	.	PROPN
ejpam-5712	197	46	in	in	ADP
ejpam-5712	197	47	fig.(4a	fig.(4a	PROPN
ejpam-5712	197	48	)	)	PUNCT
ejpam-5712	197	49	,	,	PUNCT
ejpam-5712	197	50	the	the	DET
ejpam-5712	197	51	red	red	ADJ
ejpam-5712	197	52	curve	curve	NOUN
ejpam-5712	197	53	increases	increase	VERB
ejpam-5712	197	54	rapidly	rapidly	ADV
ejpam-5712	197	55	and	and	CCONJ
ejpam-5712	197	56	stabilizes	stabilize	VERB
ejpam-5712	197	57	around	around	ADP
ejpam-5712	197	58	25	25	NUM
ejpam-5712	197	59	.	.	PUNCT
ejpam-5712	198	1	the	the	DET
ejpam-5712	198	2	rise	rise	NOUN
ejpam-5712	198	3	is	be	AUX
ejpam-5712	198	4	steep	steep	ADJ
ejpam-5712	198	5	at	at	ADP
ejpam-5712	198	6	the	the	DET
ejpam-5712	198	7	beginning	beginning	NOUN
ejpam-5712	198	8	and	and	CCONJ
ejpam-5712	198	9	levels	level	NOUN
ejpam-5712	198	10	off	off	ADP
ejpam-5712	198	11	as	as	ADP
ejpam-5712	198	12	time	time	NOUN
ejpam-5712	198	13	progresses	progress	NOUN
ejpam-5712	198	14	.	.	PUNCT
ejpam-5712	199	1	the	the	DET
ejpam-5712	199	2	blue	blue	ADJ
ejpam-5712	199	3	curve	curve	NOUN
ejpam-5712	199	4	follows	follow	VERB
ejpam-5712	199	5	a	a	DET
ejpam-5712	199	6	similar	similar	ADJ
ejpam-5712	199	7	pattern	pattern	NOUN
ejpam-5712	199	8	but	but	CCONJ
ejpam-5712	199	9	stabilizes	stabilize	VERB
ejpam-5712	199	10	around	around	ADP
ejpam-5712	199	11	20	20	NUM
ejpam-5712	199	12	,	,	PUNCT
ejpam-5712	199	13	showing	show	VERB
ejpam-5712	199	14	a	a	DET
ejpam-5712	199	15	slower	slow	ADJ
ejpam-5712	199	16	increase	increase	NOUN
ejpam-5712	199	17	compared	compare	VERB
ejpam-5712	199	18	to	to	ADP
ejpam-5712	199	19	the	the	DET
ejpam-5712	199	20	red	red	ADJ
ejpam-5712	199	21	curve	curve	NOUN
ejpam-5712	199	22	.	.	PUNCT
ejpam-5712	200	1	the	the	DET
ejpam-5712	200	2	black	black	ADJ
ejpam-5712	200	3	curve	curve	NOUN
ejpam-5712	200	4	increases	increase	VERB
ejpam-5712	200	5	even	even	ADV
ejpam-5712	200	6	more	more	ADV
ejpam-5712	200	7	slowly	slowly	ADV
ejpam-5712	200	8	and	and	CCONJ
ejpam-5712	200	9	stabilizes	stabilize	VERB
ejpam-5712	200	10	around	around	ADP
ejpam-5712	200	11	15	15	NUM
ejpam-5712	200	12	.	.	PUNCT
ejpam-5712	201	1	here	here	ADV
ejpam-5712	201	2	,	,	PUNCT
ejpam-5712	201	3	p	p	NOUN
ejpam-5712	201	4	behaves	behave	VERB
ejpam-5712	201	5	differently	differently	ADV
ejpam-5712	201	6	from	from	ADP
ejpam-5712	201	7	the	the	DET
ejpam-5712	201	8	previous	previous	ADJ
ejpam-5712	201	9	graphs	graph	NOUN
ejpam-5712	201	10	.	.	PUNCT
ejpam-5712	202	1	the	the	DET
ejpam-5712	202	2	smaller	small	ADJ
ejpam-5712	202	3	the	the	DET
ejpam-5712	202	4	value	value	NOUN
ejpam-5712	202	5	of	of	ADP
ejpam-5712	202	6	ℓ2	ℓ2	NOUN
ejpam-5712	202	7	,	,	PUNCT
ejpam-5712	202	8	the	the	PRON
ejpam-5712	202	9	larger	large	ADJ
ejpam-5712	202	10	the	the	DET
ejpam-5712	202	11	steady	steady	ADJ
ejpam-5712	202	12	-	-	PUNCT
ejpam-5712	202	13	state	state	NOUN
ejpam-5712	202	14	value	value	NOUN
ejpam-5712	202	15	of	of	ADP
ejpam-5712	202	16	p.	p.	NOUN
ejpam-5712	202	17	this	this	PRON
ejpam-5712	202	18	contrasts	contrast	VERB
ejpam-5712	202	19	with	with	ADP
ejpam-5712	202	20	previous	previous	ADJ
ejpam-5712	202	21	graphs	graph	NOUN
ejpam-5712	202	22	where	where	SCONJ
ejpam-5712	202	23	larger	large	ADJ
ejpam-5712	202	24	values	value	NOUN
ejpam-5712	202	25	of	of	ADP
ejpam-5712	202	26	torque	torque	NOUN
ejpam-5712	202	27	produced	produce	VERB
ejpam-5712	202	28	larger	large	ADJ
ejpam-5712	202	29	final	final	ADJ
ejpam-5712	202	30	values	value	NOUN
ejpam-5712	202	31	of	of	ADP
ejpam-5712	202	32	p	p	NOUN
ejpam-5712	202	33	,	,	PUNCT
ejpam-5712	202	34	which	which	PRON
ejpam-5712	202	35	indicates	indicate	VERB
ejpam-5712	202	36	an	an	DET
ejpam-5712	202	37	inverse	inverse	NOUN
ejpam-5712	202	38	relationship	relationship	NOUN
ejpam-5712	202	39	between	between	ADP
ejpam-5712	202	40	p	p	NOUN
ejpam-5712	202	41	and	and	CCONJ
ejpam-5712	202	42	ℓ2	ℓ2	NOUN
ejpam-5712	202	43	.	.	PUNCT
ejpam-5712	203	1	in	in	ADP
ejpam-5712	203	2	fig.(4b	fig.(4b	NOUN
ejpam-5712	203	3	)	)	PUNCT
ejpam-5712	203	4	,	,	PUNCT
ejpam-5712	203	5	the	the	DET
ejpam-5712	203	6	red	red	ADJ
ejpam-5712	203	7	curve	curve	NOUN
ejpam-5712	203	8	decreases	decrease	VERB
ejpam-5712	203	9	rapidly	rapidly	ADV
ejpam-5712	203	10	to	to	ADP
ejpam-5712	203	11	around	around	ADP
ejpam-5712	203	12	−50	−50	NOUN
ejpam-5712	203	13	,	,	PUNCT
ejpam-5712	203	14	then	then	ADV
ejpam-5712	203	15	recovers	recover	VERB
ejpam-5712	203	16	,	,	PUNCT
ejpam-5712	203	17	crossing	cross	VERB
ejpam-5712	203	18	over	over	ADP
ejpam-5712	203	19	into	into	ADP
ejpam-5712	203	20	positive	positive	ADJ
ejpam-5712	203	21	values	value	NOUN
ejpam-5712	203	22	,	,	PUNCT
ejpam-5712	203	23	stabilizing	stabilize	VERB
ejpam-5712	203	24	around	around	ADP
ejpam-5712	203	25	0	0	NUM
ejpam-5712	203	26	.	.	PUNCT
ejpam-5712	204	1	the	the	DET
ejpam-5712	204	2	blue	blue	ADJ
ejpam-5712	204	3	curve	curve	NOUN
ejpam-5712	204	4	decreases	decrease	VERB
ejpam-5712	204	5	similarly	similarly	ADV
ejpam-5712	204	6	but	but	CCONJ
ejpam-5712	204	7	recovers	recover	VERB
ejpam-5712	204	8	more	more	ADV
ejpam-5712	204	9	gradually	gradually	ADV
ejpam-5712	204	10	,	,	PUNCT
ejpam-5712	204	11	leveling	level	VERB
ejpam-5712	204	12	off	off	ADP
ejpam-5712	204	13	at	at	ADP
ejpam-5712	204	14	a	a	DET
ejpam-5712	204	15	value	value	NOUN
ejpam-5712	204	16	slightly	slightly	ADV
ejpam-5712	204	17	below	below	ADP
ejpam-5712	204	18	0	0	NUM
ejpam-5712	204	19	.	.	PUNCT
ejpam-5712	205	1	the	the	DET
ejpam-5712	205	2	black	black	ADJ
ejpam-5712	205	3	curve	curve	NOUN
ejpam-5712	205	4	decreases	decrease	VERB
ejpam-5712	205	5	less	less	ADV
ejpam-5712	205	6	sharply	sharply	ADV
ejpam-5712	205	7	than	than	ADP
ejpam-5712	205	8	the	the	DET
ejpam-5712	205	9	others	other	NOUN
ejpam-5712	205	10	and	and	CCONJ
ejpam-5712	205	11	eventually	eventually	ADV
ejpam-5712	205	12	stabilizes	stabilize	VERB
ejpam-5712	205	13	around	around	ADP
ejpam-5712	205	14	−10	−10	NOUN
ejpam-5712	205	15	.	.	PUNCT
ejpam-5712	206	1	the	the	DET
ejpam-5712	206	2	angular	angular	ADJ
ejpam-5712	206	3	velocity	velocity	NOUN
ejpam-5712	206	4	component	component	NOUN
ejpam-5712	206	5	q	q	PUNCT
ejpam-5712	206	6	shows	show	VERB
ejpam-5712	206	7	some	some	DET
ejpam-5712	206	8	oscillatory	oscillatory	ADJ
ejpam-5712	206	9	recovery	recovery	NOUN
ejpam-5712	206	10	after	after	ADP
ejpam-5712	206	11	an	an	DET
ejpam-5712	206	12	initial	initial	ADJ
ejpam-5712	206	13	drop	drop	NOUN
ejpam-5712	206	14	,	,	PUNCT
ejpam-5712	206	15	especially	especially	ADV
ejpam-5712	206	16	in	in	ADP
ejpam-5712	206	17	the	the	DET
ejpam-5712	206	18	case	case	NOUN
ejpam-5712	206	19	of	of	ADP
ejpam-5712	206	20	ℓ3	ℓ3	PROPN
ejpam-5712	206	21	=	=	PUNCT
ejpam-5712	206	22	10kg.m2.s−1	10kg.m2.s−1	NUM
ejpam-5712	206	23	.	.	PUNCT
ejpam-5712	207	1	this	this	PRON
ejpam-5712	207	2	contrasts	contrast	VERB
ejpam-5712	207	3	with	with	ADP
ejpam-5712	207	4	previous	previous	ADJ
ejpam-5712	207	5	behaviors	behavior	NOUN
ejpam-5712	207	6	where	where	SCONJ
ejpam-5712	207	7	q	q	PROPN
ejpam-5712	207	8	continuously	continuously	ADV
ejpam-5712	207	9	decreased	decrease	VERB
ejpam-5712	207	10	to	to	ADP
ejpam-5712	207	11	a	a	DET
ejpam-5712	207	12	negative	negative	ADJ
ejpam-5712	207	13	steady	steady	ADJ
ejpam-5712	207	14	state	state	NOUN
ejpam-5712	207	15	.	.	PUNCT
ejpam-5712	208	1	here	here	ADV
ejpam-5712	208	2	,	,	PUNCT
ejpam-5712	208	3	the	the	DET
ejpam-5712	208	4	smaller	small	ADJ
ejpam-5712	208	5	ℓ3	ℓ3	NOUN
ejpam-5712	208	6	induces	induce	VERB
ejpam-5712	208	7	a	a	DET
ejpam-5712	208	8	recovery	recovery	NOUN
ejpam-5712	208	9	in	in	ADP
ejpam-5712	208	10	q	q	NOUN
ejpam-5712	208	11	,	,	PUNCT
ejpam-5712	208	12	while	while	SCONJ
ejpam-5712	208	13	larger	large	ADJ
ejpam-5712	208	14	values	value	NOUN
ejpam-5712	208	15	stabilize	stabilize	VERB
ejpam-5712	208	16	q	q	NOUN
ejpam-5712	208	17	at	at	ADP
ejpam-5712	208	18	more	more	ADV
ejpam-5712	208	19	negative	negative	ADJ
ejpam-5712	208	20	values	value	NOUN
ejpam-5712	208	21	.	.	PUNCT
ejpam-5712	209	1	in	in	ADP
ejpam-5712	209	2	fig.(4c	fig.(4c	PROPN
ejpam-5712	209	3	)	)	PUNCT
ejpam-5712	209	4	,	,	PUNCT
ejpam-5712	209	5	the	the	DET
ejpam-5712	209	6	red	red	ADJ
ejpam-5712	209	7	curve	curve	NOUN
ejpam-5712	209	8	starts	start	VERB
ejpam-5712	209	9	at	at	ADP
ejpam-5712	209	10	around	around	ADP
ejpam-5712	209	11	0.6	0.6	NUM
ejpam-5712	209	12	and	and	CCONJ
ejpam-5712	209	13	decays	decay	VERB
ejpam-5712	209	14	quickly	quickly	ADV
ejpam-5712	209	15	toward	toward	ADP
ejpam-5712	209	16	zero	zero	NUM
ejpam-5712	209	17	.	.	PUNCT
ejpam-5712	210	1	the	the	DET
ejpam-5712	210	2	blue	blue	ADJ
ejpam-5712	210	3	curve	curve	NOUN
ejpam-5712	210	4	begins	begin	VERB
ejpam-5712	210	5	at	at	ADP
ejpam-5712	210	6	the	the	DET
ejpam-5712	210	7	least	least	ADJ
ejpam-5712	210	8	value	value	NOUN
ejpam-5712	210	9	and	and	CCONJ
ejpam-5712	210	10	decays	decay	VERB
ejpam-5712	210	11	more	more	ADV
ejpam-5712	210	12	slowly	slowly	ADV
ejpam-5712	210	13	toward	toward	ADP
ejpam-5712	210	14	zero	zero	NUM
ejpam-5712	210	15	.	.	PUNCT
ejpam-5712	211	1	the	the	DET
ejpam-5712	211	2	black	black	ADJ
ejpam-5712	211	3	curve	curve	NOUN
ejpam-5712	211	4	starts	start	VERB
ejpam-5712	211	5	at	at	ADP
ejpam-5712	211	6	an	an	DET
ejpam-5712	211	7	even	even	ADV
ejpam-5712	211	8	lower	low	ADJ
ejpam-5712	211	9	value	value	NOUN
ejpam-5712	211	10	and	and	CCONJ
ejpam-5712	211	11	decays	decay	NOUN
ejpam-5712	211	12	to	to	ADP
ejpam-5712	211	13	nearly	nearly	ADV
ejpam-5712	211	14	t.	t.	PROPN
ejpam-5712	211	15	s.	s.	PROPN
ejpam-5712	211	16	amer	amer	PROPN
ejpam-5712	211	17	et	et	PROPN
ejpam-5712	211	18	al	al	PROPN
ejpam-5712	211	19	.	.	PUNCT
ejpam-5712	211	20	/	/	SYM
ejpam-5712	211	21	eur	eur	PROPN
ejpam-5712	211	22	.	.	PUNCT
ejpam-5712	212	1	j.	j.	PROPN
ejpam-5712	212	2	pure	pure	PROPN
ejpam-5712	212	3	appl	appl	PROPN
ejpam-5712	212	4	.	.	PROPN
ejpam-5712	212	5	math	math	PROPN
ejpam-5712	212	6	,	,	PUNCT
ejpam-5712	212	7	18	18	NUM
ejpam-5712	212	8	(	(	PUNCT
ejpam-5712	212	9	1	1	NUM
ejpam-5712	212	10	)	)	PUNCT
ejpam-5712	212	11	(	(	PUNCT
ejpam-5712	212	12	2025	2025	NUM
ejpam-5712	212	13	)	)	PUNCT
ejpam-5712	212	14	,	,	PUNCT
ejpam-5712	212	15	5712	5712	NUM
ejpam-5712	212	16	10	10	NUM
ejpam-5712	212	17	of	of	ADP
ejpam-5712	212	18	14	14	NUM
ejpam-5712	212	19	figure	figure	NOUN
ejpam-5712	212	20	3	3	NUM
ejpam-5712	212	21	:	:	PUNCT
ejpam-5712	212	22	depicts	depict	VERB
ejpam-5712	212	23	the	the	DET
ejpam-5712	212	24	time	time	NOUN
ejpam-5712	212	25	-	-	PUNCT
ejpam-5712	212	26	dependent	dependent	ADJ
ejpam-5712	212	27	change	change	NOUN
ejpam-5712	212	28	of	of	ADP
ejpam-5712	212	29	p	p	X
ejpam-5712	212	30	,	,	PUNCT
ejpam-5712	212	31	q	q	X
ejpam-5712	212	32	,	,	PUNCT
ejpam-5712	212	33	and	and	CCONJ
ejpam-5712	212	34	r	r	NOUN
ejpam-5712	212	35	when	when	SCONJ
ejpam-5712	212	36	ℓ2	ℓ2	NOUN
ejpam-5712	212	37	=	=	SYM
ejpam-5712	212	38	(	(	PUNCT
ejpam-5712	212	39	10	10	NUM
ejpam-5712	212	40	,	,	PUNCT
ejpam-5712	212	41	30	30	NUM
ejpam-5712	212	42	,	,	PUNCT
ejpam-5712	212	43	50)kg.m2.s−1	50)kg.m2.s−1	NUM
ejpam-5712	212	44	,	,	PUNCT
ejpam-5712	212	45	while	while	SCONJ
ejpam-5712	212	46	ℓ1	ℓ1	NOUN
ejpam-5712	212	47	,	,	PUNCT
ejpam-5712	212	48	ℓ3	ℓ3	NOUN
ejpam-5712	212	49	=	=	PUNCT
ejpam-5712	212	50	10kg.m2.s−1	10kg.m2.s−1	NUM
ejpam-5712	212	51	.	.	PUNCT
ejpam-5712	213	1	zero	zero	NUM
ejpam-5712	213	2	more	more	ADV
ejpam-5712	213	3	gradually	gradually	ADV
ejpam-5712	213	4	.	.	PUNCT
ejpam-5712	214	1	the	the	DET
ejpam-5712	214	2	angular	angular	ADJ
ejpam-5712	214	3	velocity	velocity	NOUN
ejpam-5712	214	4	component	component	NOUN
ejpam-5712	214	5	r	r	NOUN
ejpam-5712	214	6	decays	decay	NOUN
ejpam-5712	214	7	towards	towards	ADP
ejpam-5712	214	8	zero	zero	NUM
ejpam-5712	214	9	,	,	PUNCT
ejpam-5712	214	10	and	and	CCONJ
ejpam-5712	214	11	the	the	DET
ejpam-5712	214	12	rate	rate	NOUN
ejpam-5712	214	13	of	of	ADP
ejpam-5712	214	14	decay	decay	NOUN
ejpam-5712	214	15	is	be	AUX
ejpam-5712	214	16	slower	slow	ADJ
ejpam-5712	214	17	for	for	ADP
ejpam-5712	214	18	larger	large	ADJ
ejpam-5712	214	19	values	value	NOUN
ejpam-5712	214	20	of	of	ADP
ejpam-5712	214	21	ℓ3	ℓ3	PROPN
ejpam-5712	214	22	.	.	PUNCT
ejpam-5712	215	1	this	this	PRON
ejpam-5712	215	2	is	be	AUX
ejpam-5712	215	3	similar	similar	ADJ
ejpam-5712	215	4	to	to	ADP
ejpam-5712	215	5	the	the	DET
ejpam-5712	215	6	previous	previous	ADJ
ejpam-5712	215	7	graphs	graph	NOUN
ejpam-5712	215	8	,	,	PUNCT
ejpam-5712	215	9	where	where	SCONJ
ejpam-5712	215	10	r	r	NOUN
ejpam-5712	215	11	eventually	eventually	ADV
ejpam-5712	215	12	decays	decay	VERB
ejpam-5712	215	13	to	to	ADP
ejpam-5712	215	14	zero	zero	NUM
ejpam-5712	215	15	,	,	PUNCT
ejpam-5712	215	16	with	with	ADP
ejpam-5712	215	17	larger	large	ADJ
ejpam-5712	215	18	values	value	NOUN
ejpam-5712	215	19	of	of	ADP
ejpam-5712	215	20	torque	torque	NOUN
ejpam-5712	215	21	leading	lead	VERB
ejpam-5712	215	22	to	to	ADP
ejpam-5712	215	23	a	a	DET
ejpam-5712	215	24	more	more	ADV
ejpam-5712	215	25	gradual	gradual	ADJ
ejpam-5712	215	26	decay	decay	NOUN
ejpam-5712	215	27	.	.	PUNCT
ejpam-5712	216	1	these	these	DET
ejpam-5712	216	2	results	result	NOUN
ejpam-5712	216	3	suggest	suggest	VERB
ejpam-5712	216	4	that	that	SCONJ
ejpam-5712	216	5	ℓ3	ℓ3	PROPN
ejpam-5712	216	6	influences	influence	VERB
ejpam-5712	216	7	the	the	DET
ejpam-5712	216	8	system	system	NOUN
ejpam-5712	216	9	differently	differently	ADV
ejpam-5712	216	10	than	than	ADP
ejpam-5712	216	11	ℓ1	ℓ1	NOUN
ejpam-5712	216	12	and	and	CCONJ
ejpam-5712	216	13	ℓ2	ℓ2	NOUN
ejpam-5712	216	14	,	,	PUNCT
ejpam-5712	216	15	possibly	possibly	ADV
ejpam-5712	216	16	reflects	reflect	VERB
ejpam-5712	216	17	the	the	DET
ejpam-5712	216	18	distinct	distinct	ADJ
ejpam-5712	216	19	role	role	NOUN
ejpam-5712	216	20	of	of	ADP
ejpam-5712	216	21	each	each	DET
ejpam-5712	216	22	component	component	NOUN
ejpam-5712	216	23	of	of	ADP
ejpam-5712	216	24	the	the	DET
ejpam-5712	216	25	gm	gm	PROPN
ejpam-5712	216	26	in	in	ADP
ejpam-5712	216	27	the	the	DET
ejpam-5712	216	28	evolution	evolution	NOUN
ejpam-5712	216	29	of	of	ADP
ejpam-5712	216	30	the	the	DET
ejpam-5712	216	31	angular	angular	ADJ
ejpam-5712	216	32	velocity	velocity	NOUN
ejpam-5712	216	33	components	component	NOUN
ejpam-5712	216	34	.	.	PUNCT
ejpam-5712	217	1	7	7	X
ejpam-5712	217	2	.	.	X
ejpam-5712	217	3	conclusion	conclusion	NOUN
ejpam-5712	217	4	in	in	ADP
ejpam-5712	217	5	this	this	DET
ejpam-5712	217	6	study	study	NOUN
ejpam-5712	217	7	,	,	PUNCT
ejpam-5712	217	8	we	we	PRON
ejpam-5712	217	9	have	have	AUX
ejpam-5712	217	10	created	create	VERB
ejpam-5712	217	11	an	an	DET
ejpam-5712	217	12	altered	altered	ADJ
ejpam-5712	217	13	solution	solution	NOUN
ejpam-5712	217	14	(	(	PUNCT
ejpam-5712	217	15	8)	8)	NUM
ejpam-5712	217	16	,	,	PUNCT
ejpam-5712	217	17	and	and	CCONJ
ejpam-5712	217	18	(	(	PUNCT
ejpam-5712	217	19	9	9	X
ejpam-5712	217	20	)	)	PUNCT
ejpam-5712	217	21	for	for	ADP
ejpam-5712	217	22	euler	euler	PROPN
ejpam-5712	217	23	’s	’s	PART
ejpam-5712	217	24	equations	equation	NOUN
ejpam-5712	217	25	(	(	PUNCT
ejpam-5712	217	26	1	1	X
ejpam-5712	217	27	)	)	PUNCT
ejpam-5712	217	28	using	use	VERB
ejpam-5712	217	29	poisson	poisson	PROPN
ejpam-5712	217	30	’s	’s	PART
ejpam-5712	217	31	equations	equation	NOUN
ejpam-5712	217	32	(	(	PUNCT
ejpam-5712	217	33	2	2	NUM
ejpam-5712	217	34	)	)	PUNCT
ejpam-5712	217	35	with	with	ADP
ejpam-5712	217	36	the	the	DET
ejpam-5712	217	37	consideration	consideration	NOUN
ejpam-5712	217	38	of	of	ADP
ejpam-5712	217	39	a	a	DET
ejpam-5712	217	40	gm	gm	NOUN
ejpam-5712	217	41	affecting	affect	VERB
ejpam-5712	217	42	the	the	DET
ejpam-5712	217	43	rotation	rotation	NOUN
ejpam-5712	217	44	of	of	ADP
ejpam-5712	217	45	the	the	DET
ejpam-5712	217	46	rgb	rgb	PROPN
ejpam-5712	217	47	.	.	PUNCT
ejpam-5712	218	1	the	the	DET
ejpam-5712	218	2	resulting	result	VERB
ejpam-5712	218	3	angular	angular	ADJ
ejpam-5712	218	4	velocity	velocity	NOUN
ejpam-5712	218	5	components	component	NOUN
ejpam-5712	218	6	differ	differ	VERB
ejpam-5712	218	7	from	from	ADP
ejpam-5712	218	8	those	those	PRON
ejpam-5712	218	9	in	in	ADP
ejpam-5712	218	10	lagrange	lagrange	NOUN
ejpam-5712	218	11	’s	’s	PART
ejpam-5712	218	12	case	case	NOUN
ejpam-5712	218	13	,	,	PUNCT
ejpam-5712	218	14	kovalevskaya	kovalevskaya	PROPN
ejpam-5712	218	15	’s	’s	PART
ejpam-5712	218	16	case	case	NOUN
ejpam-5712	218	17	,	,	PUNCT
ejpam-5712	218	18	euler	euler	NOUN
ejpam-5712	218	19	’s	’s	PART
ejpam-5712	218	20	case	case	NOUN
ejpam-5712	218	21	,	,	PUNCT
ejpam-5712	218	22	or	or	CCONJ
ejpam-5712	218	23	any	any	DET
ejpam-5712	218	24	other	other	ADJ
ejpam-5712	218	25	specific	specific	ADJ
ejpam-5712	218	26	scenario	scenario	NOUN
ejpam-5712	218	27	.	.	PUNCT
ejpam-5712	219	1	a	a	DET
ejpam-5712	219	2	limitation	limitation	NOUN
ejpam-5712	219	3	is	be	AUX
ejpam-5712	219	4	placed	place	VERB
ejpam-5712	219	5	on	on	ADP
ejpam-5712	219	6	the	the	DET
ejpam-5712	219	7	selection	selection	NOUN
ejpam-5712	219	8	of	of	ADP
ejpam-5712	219	9	initial	initial	ADJ
ejpam-5712	219	10	conditions	condition	NOUN
ejpam-5712	219	11	for	for	ADP
ejpam-5712	219	12	the	the	DET
ejpam-5712	219	13	body	body	NOUN
ejpam-5712	219	14	’s	’s	PART
ejpam-5712	219	15	variables	variable	NOUN
ejpam-5712	219	16	based	base	VERB
ejpam-5712	219	17	on	on	ADP
ejpam-5712	219	18	the	the	DET
ejpam-5712	219	19	interpretation	interpretation	NOUN
ejpam-5712	219	20	of	of	ADP
ejpam-5712	219	21	c2	c2	PROPN
ejpam-5712	219	22	0	0	NUM
ejpam-5712	219	23	.	.	PUNCT
ejpam-5712	220	1	the	the	DET
ejpam-5712	220	2	obtained	obtain	VERB
ejpam-5712	220	3	solution	solution	NOUN
ejpam-5712	220	4	is	be	AUX
ejpam-5712	220	5	regarded	regard	VERB
ejpam-5712	220	6	as	as	ADP
ejpam-5712	220	7	a	a	DET
ejpam-5712	220	8	modification	modification	NOUN
ejpam-5712	220	9	of	of	ADP
ejpam-5712	220	10	both	both	DET
ejpam-5712	220	11	euler	euler	PROPN
ejpam-5712	220	12	’s	’s	PART
ejpam-5712	220	13	case	case	NOUN
ejpam-5712	220	14	and	and	CCONJ
ejpam-5712	220	15	ershkov	ershkov	PROPN
ejpam-5712	220	16	’s	’s	PART
ejpam-5712	220	17	study	study	NOUN
ejpam-5712	220	18	[	[	X
ejpam-5712	220	19	17	17	NUM
ejpam-5712	220	20	]	]	PUNCT
ejpam-5712	220	21	when	when	SCONJ
ejpam-5712	220	22	the	the	DET
ejpam-5712	220	23	gm	gm	PROPN
ejpam-5712	220	24	vector	vector	NOUN
ejpam-5712	220	25	is	be	AUX
ejpam-5712	220	26	no	no	ADV
ejpam-5712	220	27	longer	long	ADV
ejpam-5712	220	28	significant	significant	ADJ
ejpam-5712	220	29	or	or	CCONJ
ejpam-5712	220	30	is	be	AUX
ejpam-5712	220	31	absent	absent	ADJ
ejpam-5712	220	32	.	.	PUNCT
ejpam-5712	221	1	various	various	ADJ
ejpam-5712	221	2	plots	plot	NOUN
ejpam-5712	221	3	are	be	AUX
ejpam-5712	221	4	graphed	graph	VERB
ejpam-5712	221	5	to	to	PART
ejpam-5712	221	6	illustrate	illustrate	VERB
ejpam-5712	221	7	the	the	DET
ejpam-5712	221	8	behavior	behavior	NOUN
ejpam-5712	221	9	of	of	ADP
ejpam-5712	221	10	the	the	DET
ejpam-5712	221	11	achieved	achieve	VERB
ejpam-5712	221	12	results	result	NOUN
ejpam-5712	221	13	.	.	PUNCT
ejpam-5712	222	1	the	the	DET
ejpam-5712	222	2	numerical	numerical	PROPN
ejpam-5712	222	3	findings	finding	NOUN
ejpam-5712	222	4	have	have	AUX
ejpam-5712	222	5	demonstrated	demonstrate	VERB
ejpam-5712	222	6	the	the	DET
ejpam-5712	222	7	significant	significant	ADJ
ejpam-5712	222	8	influence	influence	NOUN
ejpam-5712	222	9	of	of	ADP
ejpam-5712	222	10	the	the	DET
ejpam-5712	222	11	vector	vector	NOUN
ejpam-5712	222	12	of	of	ADP
ejpam-5712	222	13	gm	gm	PROPN
ejpam-5712	222	14	on	on	ADP
ejpam-5712	222	15	the	the	DET
ejpam-5712	222	16	rgb	rgb	PROPN
ejpam-5712	222	17	’s	’s	PART
ejpam-5712	222	18	motion	motion	NOUN
ejpam-5712	222	19	.	.	PUNCT
ejpam-5712	223	1	however	however	ADV
ejpam-5712	223	2	,	,	PUNCT
ejpam-5712	223	3	the	the	DET
ejpam-5712	223	4	analytical	analytical	ADJ
ejpam-5712	223	5	results	result	NOUN
ejpam-5712	223	6	concerning	concern	VERB
ejpam-5712	223	7	the	the	DET
ejpam-5712	223	8	rotational	rotational	ADJ
ejpam-5712	223	9	motion	motion	NOUN
ejpam-5712	223	10	of	of	ADP
ejpam-5712	223	11	a	a	DET
ejpam-5712	223	12	rigid	rigid	ADJ
ejpam-5712	223	13	body	body	NOUN
ejpam-5712	223	14	around	around	ADP
ejpam-5712	223	15	a	a	DET
ejpam-5712	223	16	fixed	fix	VERB
ejpam-5712	223	17	point	point	NOUN
ejpam-5712	223	18	have	have	VERB
ejpam-5712	223	19	practical	practical	ADJ
ejpam-5712	223	20	applications	application	NOUN
ejpam-5712	223	21	in	in	ADP
ejpam-5712	223	22	industries	industry	NOUN
ejpam-5712	223	23	,	,	PUNCT
ejpam-5712	223	24	including	include	VERB
ejpam-5712	223	25	satellites	satellite	NOUN
ejpam-5712	223	26	,	,	PUNCT
ejpam-5712	223	27	autopilots	autopilot	NOUN
ejpam-5712	223	28	,	,	PUNCT
ejpam-5712	223	29	and	and	CCONJ
ejpam-5712	223	30	aircraft	aircraft	NOUN
ejpam-5712	223	31	.	.	PUNCT
ejpam-5712	224	1	authors	author	NOUN
ejpam-5712	224	2	statements	statement	VERB
ejpam-5712	224	3	t.	t.	PROPN
ejpam-5712	224	4	s.	s.	PROPN
ejpam-5712	224	5	amer	amer	PROPN
ejpam-5712	224	6	:	:	PUNCT
ejpam-5712	224	7	investigation	investigation	NOUN
ejpam-5712	224	8	,	,	PUNCT
ejpam-5712	224	9	methodology	methodology	NOUN
ejpam-5712	224	10	,	,	PUNCT
ejpam-5712	224	11	data	data	NOUN
ejpam-5712	224	12	curation	curation	NOUN
ejpam-5712	224	13	,	,	PUNCT
ejpam-5712	224	14	conceptualization	conceptualization	NOUN
ejpam-5712	224	15	,	,	PUNCT
ejpam-5712	224	16	validation	validation	NOUN
ejpam-5712	224	17	,	,	PUNCT
ejpam-5712	224	18	reviewing	reviewing	NOUN
ejpam-5712	224	19	and	and	CCONJ
ejpam-5712	224	20	editing	editing	NOUN
ejpam-5712	224	21	.	.	PUNCT
ejpam-5712	225	1	w.	w.	PROPN
ejpam-5712	225	2	s.	s.	PROPN
ejpam-5712	225	3	amer	amer	PROPN
ejpam-5712	225	4	:	:	PUNCT
ejpam-5712	225	5	conceptualization	conceptualization	NOUN
ejpam-5712	225	6	,	,	PUNCT
ejpam-5712	225	7	resources	resource	NOUN
ejpam-5712	225	8	,	,	PUNCT
ejpam-5712	225	9	formal	formal	ADJ
ejpam-5712	225	10	analysis	analysis	NOUN
ejpam-5712	225	11	,	,	PUNCT
ejpam-5712	225	12	validation	validation	NOUN
ejpam-5712	225	13	,	,	PUNCT
ejpam-5712	225	14	visualization	visualization	NOUN
ejpam-5712	225	15	t.	t.	PROPN
ejpam-5712	225	16	s.	s.	PROPN
ejpam-5712	225	17	amer	amer	PROPN
ejpam-5712	225	18	et	et	PROPN
ejpam-5712	225	19	al	al	PROPN
ejpam-5712	225	20	.	.	PUNCT
ejpam-5712	225	21	/	/	SYM
ejpam-5712	225	22	eur	eur	PROPN
ejpam-5712	225	23	.	.	PUNCT
ejpam-5712	226	1	j.	j.	PROPN
ejpam-5712	226	2	pure	pure	PROPN
ejpam-5712	226	3	appl	appl	PROPN
ejpam-5712	226	4	.	.	PROPN
ejpam-5712	226	5	math	math	PROPN
ejpam-5712	226	6	,	,	PUNCT
ejpam-5712	226	7	18	18	NUM
ejpam-5712	226	8	(	(	PUNCT
ejpam-5712	226	9	1	1	NUM
ejpam-5712	226	10	)	)	PUNCT
ejpam-5712	226	11	(	(	PUNCT
ejpam-5712	226	12	2025	2025	NUM
ejpam-5712	226	13	)	)	PUNCT
ejpam-5712	226	14	,	,	PUNCT
ejpam-5712	226	15	5712	5712	NUM
ejpam-5712	226	16	11	11	NUM
ejpam-5712	226	17	of	of	ADP
ejpam-5712	226	18	14	14	NUM
ejpam-5712	226	19	figure	figure	NOUN
ejpam-5712	226	20	4	4	NUM
ejpam-5712	226	21	:	:	PUNCT
ejpam-5712	226	22	shows	show	VERB
ejpam-5712	226	23	the	the	DET
ejpam-5712	226	24	time	time	NOUN
ejpam-5712	226	25	-	-	PUNCT
ejpam-5712	226	26	dependent	dependent	ADJ
ejpam-5712	226	27	change	change	NOUN
ejpam-5712	226	28	of	of	ADP
ejpam-5712	226	29	p	p	X
ejpam-5712	226	30	,	,	PUNCT
ejpam-5712	226	31	q	q	X
ejpam-5712	226	32	,	,	PUNCT
ejpam-5712	226	33	and	and	CCONJ
ejpam-5712	226	34	r	r	NOUN
ejpam-5712	226	35	when	when	SCONJ
ejpam-5712	226	36	ℓ2	ℓ2	NOUN
ejpam-5712	226	37	=	=	SYM
ejpam-5712	226	38	(	(	PUNCT
ejpam-5712	226	39	10	10	NUM
ejpam-5712	226	40	,	,	PUNCT
ejpam-5712	226	41	30	30	NUM
ejpam-5712	226	42	,	,	PUNCT
ejpam-5712	226	43	50)kg.m2.s−1	50)kg.m2.s−1	NUM
ejpam-5712	226	44	,	,	PUNCT
ejpam-5712	226	45	while	while	SCONJ
ejpam-5712	226	46	ℓ1	ℓ1	NOUN
ejpam-5712	226	47	,	,	PUNCT
ejpam-5712	226	48	ℓ2	ℓ2	NOUN
ejpam-5712	226	49	=	=	PUNCT
ejpam-5712	226	50	10kg.m2.s−1	10kg.m2.s−1	NUM
ejpam-5712	226	51	.	.	PUNCT
ejpam-5712	227	1	and	and	CCONJ
ejpam-5712	227	2	reviewing	review	VERB
ejpam-5712	227	3	.	.	PUNCT
ejpam-5712	228	1	m.	m.	NOUN
ejpam-5712	228	2	fakharany	fakharany	NOUN
ejpam-5712	228	3	:	:	PUNCT
ejpam-5712	228	4	resources	resource	NOUN
ejpam-5712	228	5	,	,	PUNCT
ejpam-5712	228	6	methodology	methodology	NOUN
ejpam-5712	228	7	,	,	PUNCT
ejpam-5712	228	8	validation	validation	NOUN
ejpam-5712	228	9	,	,	PUNCT
ejpam-5712	228	10	formal	formal	ADJ
ejpam-5712	228	11	analysis	analysis	NOUN
ejpam-5712	228	12	,	,	PUNCT
ejpam-5712	228	13	conceptualization	conceptualization	NOUN
ejpam-5712	228	14	and	and	CCONJ
ejpam-5712	228	15	reviewing	reviewing	NOUN
ejpam-5712	228	16	.	.	PUNCT
ejpam-5712	229	1	a.	a.	PROPN
ejpam-5712	229	2	h.	h.	PROPN
ejpam-5712	229	3	elneklawy	elneklawy	PROPN
ejpam-5712	229	4	:	:	PUNCT
ejpam-5712	229	5	methodology	methodology	NOUN
ejpam-5712	229	6	,	,	PUNCT
ejpam-5712	229	7	conceptualization	conceptualization	NOUN
ejpam-5712	229	8	,	,	PUNCT
ejpam-5712	229	9	data	data	NOUN
ejpam-5712	229	10	curation	curation	NOUN
ejpam-5712	229	11	,	,	PUNCT
ejpam-5712	229	12	validation	validation	NOUN
ejpam-5712	229	13	,	,	PUNCT
ejpam-5712	229	14	writingoriginal	writingoriginal	ADJ
ejpam-5712	229	15	draft	draft	NOUN
ejpam-5712	229	16	preparation	preparation	NOUN
ejpam-5712	229	17	.	.	PUNCT
ejpam-5712	230	1	h.	h.	PROPN
ejpam-5712	230	2	f.	f.	PROPN
ejpam-5712	230	3	el	el	PROPN
ejpam-5712	230	4	-	-	PUNCT
ejpam-5712	230	5	kafly	kafly	NOUN
ejpam-5712	230	6	:	:	PUNCT
ejpam-5712	230	7	resources	resource	NOUN
ejpam-5712	230	8	,	,	PUNCT
ejpam-5712	230	9	methodology	methodology	NOUN
ejpam-5712	230	10	,	,	PUNCT
ejpam-5712	230	11	conceptualization	conceptualization	NOUN
ejpam-5712	230	12	,	,	PUNCT
ejpam-5712	230	13	validation	validation	NOUN
ejpam-5712	230	14	,	,	PUNCT
ejpam-5712	230	15	formal	formal	ADJ
ejpam-5712	230	16	analysis	analysis	NOUN
ejpam-5712	230	17	,	,	PUNCT
ejpam-5712	230	18	visualization	visualization	NOUN
ejpam-5712	230	19	and	and	CCONJ
ejpam-5712	230	20	reviewing	reviewing	NOUN
ejpam-5712	230	21	.	.	PUNCT
ejpam-5712	231	1	conflict	conflict	NOUN
ejpam-5712	231	2	of	of	ADP
ejpam-5712	231	3	interest	interest	NOUN
ejpam-5712	231	4	the	the	DET
ejpam-5712	231	5	authors	author	NOUN
ejpam-5712	231	6	declare	declare	VERB
ejpam-5712	231	7	that	that	SCONJ
ejpam-5712	231	8	they	they	PRON
ejpam-5712	231	9	have	have	VERB
ejpam-5712	231	10	no	no	DET
ejpam-5712	231	11	conflict	conflict	NOUN
ejpam-5712	231	12	of	of	ADP
ejpam-5712	231	13	interest	interest	NOUN
ejpam-5712	231	14	.	.	PUNCT
ejpam-5712	232	1	funding	funding	NOUN
ejpam-5712	232	2	acknowledgement	acknowledgement	NOUN
ejpam-5712	232	3	this	this	DET
ejpam-5712	232	4	research	research	NOUN
ejpam-5712	232	5	received	receive	VERB
ejpam-5712	232	6	no	no	DET
ejpam-5712	232	7	specific	specific	ADJ
ejpam-5712	232	8	grant	grant	NOUN
ejpam-5712	232	9	from	from	ADP
ejpam-5712	232	10	any	any	DET
ejpam-5712	232	11	funding	funding	NOUN
ejpam-5712	232	12	agency	agency	NOUN
ejpam-5712	232	13	in	in	ADP
ejpam-5712	232	14	the	the	DET
ejpam-5712	232	15	public	public	ADJ
ejpam-5712	232	16	,	,	PUNCT
ejpam-5712	232	17	commercial	commercial	ADJ
ejpam-5712	232	18	,	,	PUNCT
ejpam-5712	232	19	or	or	CCONJ
ejpam-5712	232	20	not	not	PART
ejpam-5712	232	21	-	-	PUNCT
ejpam-5712	232	22	for	for	ADP
ejpam-5712	232	23	-	-	PUNCT
ejpam-5712	232	24	profit	profit	NOUN
ejpam-5712	232	25	sectors	sector	NOUN
ejpam-5712	232	26	.	.	PUNCT
ejpam-5712	233	1	data	datum	NOUN
ejpam-5712	233	2	availability	availability	NOUN
ejpam-5712	233	3	data	datum	NOUN
ejpam-5712	233	4	sharing	sharing	NOUN
ejpam-5712	233	5	is	be	AUX
ejpam-5712	233	6	not	not	PART
ejpam-5712	233	7	applicable	applicable	ADJ
ejpam-5712	233	8	to	to	ADP
ejpam-5712	233	9	this	this	DET
ejpam-5712	233	10	article	article	NOUN
ejpam-5712	233	11	as	as	SCONJ
ejpam-5712	233	12	no	no	DET
ejpam-5712	233	13	datasets	dataset	NOUN
ejpam-5712	233	14	were	be	AUX
ejpam-5712	233	15	generated	generate	VERB
ejpam-5712	233	16	or	or	CCONJ
ejpam-5712	233	17	analyzed	analyze	VERB
ejpam-5712	233	18	during	during	ADP
ejpam-5712	233	19	the	the	DET
ejpam-5712	233	20	current	current	ADJ
ejpam-5712	233	21	study	study	NOUN
ejpam-5712	233	22	.	.	PUNCT
ejpam-5712	234	1	references	reference	NOUN
ejpam-5712	234	2	[	[	X
ejpam-5712	234	3	1	1	NUM
ejpam-5712	234	4	]	]	PUNCT
ejpam-5712	234	5	ts	ts	ADP
ejpam-5712	234	6	amer	amer	PROPN
ejpam-5712	234	7	.	.	PUNCT
ejpam-5712	235	1	new	new	ADJ
ejpam-5712	235	2	treatment	treatment	NOUN
ejpam-5712	235	3	of	of	ADP
ejpam-5712	235	4	the	the	DET
ejpam-5712	235	5	perturbed	perturb	VERB
ejpam-5712	235	6	motions	motion	NOUN
ejpam-5712	235	7	of	of	ADP
ejpam-5712	235	8	a	a	DET
ejpam-5712	235	9	rotating	rotate	VERB
ejpam-5712	235	10	symmetric	symmetric	ADJ
ejpam-5712	235	11	gyrostat	gyrostat	NOUN
ejpam-5712	235	12	about	about	ADP
ejpam-5712	235	13	a	a	DET
ejpam-5712	235	14	fixed	fix	VERB
ejpam-5712	235	15	point	point	NOUN
ejpam-5712	235	16	.	.	PUNCT
ejpam-5712	236	1	thai	thai	PROPN
ejpam-5712	236	2	j.	j.	PROPN
ejpam-5712	236	3	math	math	PROPN
ejpam-5712	236	4	,	,	PUNCT
ejpam-5712	236	5	7(1):151–170	7(1):151–170	PROPN
ejpam-5712	236	6	,	,	PUNCT
ejpam-5712	236	7	2009	2009	NUM
ejpam-5712	236	8	.	.	PUNCT
ejpam-5712	237	1	t.	t.	PROPN
ejpam-5712	237	2	s.	s.	PROPN
ejpam-5712	237	3	amer	amer	PROPN
ejpam-5712	237	4	et	et	PROPN
ejpam-5712	237	5	al	al	PROPN
ejpam-5712	237	6	.	.	PUNCT
ejpam-5712	237	7	/	/	SYM
ejpam-5712	237	8	eur	eur	PROPN
ejpam-5712	237	9	.	.	PUNCT
ejpam-5712	238	1	j.	j.	PROPN
ejpam-5712	238	2	pure	pure	PROPN
ejpam-5712	238	3	appl	appl	PROPN
ejpam-5712	238	4	.	.	PROPN
ejpam-5712	238	5	math	math	PROPN
ejpam-5712	238	6	,	,	PUNCT
ejpam-5712	238	7	18	18	NUM
ejpam-5712	238	8	(	(	PUNCT
ejpam-5712	238	9	1	1	NUM
ejpam-5712	238	10	)	)	PUNCT
ejpam-5712	238	11	(	(	PUNCT
ejpam-5712	238	12	2025	2025	NUM
ejpam-5712	238	13	)	)	PUNCT
ejpam-5712	238	14	,	,	PUNCT
ejpam-5712	238	15	5712	5712	NUM
ejpam-5712	238	16	12	12	NUM
ejpam-5712	238	17	of	of	ADP
ejpam-5712	238	18	14	14	NUM
ejpam-5712	239	1	[	[	X
ejpam-5712	239	2	2	2	NUM
ejpam-5712	239	3	]	]	PUNCT
ejpam-5712	239	4	ts	ts	ADP
ejpam-5712	239	5	amer	amer	PROPN
ejpam-5712	239	6	.	.	PUNCT
ejpam-5712	240	1	the	the	DET
ejpam-5712	240	2	dynamical	dynamical	ADJ
ejpam-5712	240	3	behavior	behavior	NOUN
ejpam-5712	240	4	of	of	ADP
ejpam-5712	240	5	a	a	DET
ejpam-5712	240	6	rigid	rigid	ADJ
ejpam-5712	240	7	body	body	NOUN
ejpam-5712	240	8	relative	relative	ADJ
ejpam-5712	240	9	equilibrium	equilibrium	NOUN
ejpam-5712	240	10	position	position	NOUN
ejpam-5712	240	11	.	.	PUNCT
ejpam-5712	241	1	advances	advance	NOUN
ejpam-5712	241	2	in	in	ADP
ejpam-5712	241	3	mathematical	mathematical	ADJ
ejpam-5712	241	4	physics	physics	NOUN
ejpam-5712	241	5	,	,	PUNCT
ejpam-5712	241	6	2017(1):8070525	2017(1):8070525	NUM
ejpam-5712	241	7	,	,	PUNCT
ejpam-5712	241	8	2017	2017	NUM
ejpam-5712	241	9	.	.	PUNCT
ejpam-5712	242	1	[	[	X
ejpam-5712	242	2	3	3	X
ejpam-5712	242	3	]	]	PUNCT
ejpam-5712	242	4	ts	ts	ADP
ejpam-5712	242	5	amer	amer	PROPN
ejpam-5712	242	6	.	.	PUNCT
ejpam-5712	243	1	on	on	ADP
ejpam-5712	243	2	the	the	DET
ejpam-5712	243	3	dynamical	dynamical	ADJ
ejpam-5712	243	4	motion	motion	NOUN
ejpam-5712	243	5	of	of	ADP
ejpam-5712	243	6	a	a	DET
ejpam-5712	243	7	gyro	gyro	NOUN
ejpam-5712	243	8	in	in	ADP
ejpam-5712	243	9	the	the	DET
ejpam-5712	243	10	presence	presence	NOUN
ejpam-5712	243	11	of	of	ADP
ejpam-5712	243	12	external	external	ADJ
ejpam-5712	243	13	forces	force	NOUN
ejpam-5712	243	14	.	.	PUNCT
ejpam-5712	244	1	advances	advance	NOUN
ejpam-5712	244	2	in	in	ADP
ejpam-5712	244	3	mechanical	mechanical	ADJ
ejpam-5712	244	4	engineering	engineering	NOUN
ejpam-5712	244	5	,	,	PUNCT
ejpam-5712	244	6	9(2):1687814017691736	9(2):1687814017691736	NOUN
ejpam-5712	244	7	,	,	PUNCT
ejpam-5712	244	8	2017	2017	NUM
ejpam-5712	244	9	.	.	PUNCT
ejpam-5712	245	1	[	[	X
ejpam-5712	245	2	4	4	X
ejpam-5712	245	3	]	]	PUNCT
ejpam-5712	245	4	ts	ts	ADP
ejpam-5712	245	5	amer	amer	PROPN
ejpam-5712	245	6	and	and	CCONJ
ejpam-5712	245	7	i	i	PRON
ejpam-5712	245	8	m	m	VERB
ejpam-5712	245	9	abady	abady	ADJ
ejpam-5712	245	10	.	.	PUNCT
ejpam-5712	246	1	solutions	solution	NOUN
ejpam-5712	246	2	of	of	ADP
ejpam-5712	246	3	euler	euler	PROPN
ejpam-5712	246	4	’s	’s	PART
ejpam-5712	246	5	dynamic	dynamic	ADJ
ejpam-5712	246	6	equations	equation	NOUN
ejpam-5712	246	7	for	for	ADP
ejpam-5712	246	8	the	the	DET
ejpam-5712	246	9	motion	motion	NOUN
ejpam-5712	246	10	of	of	ADP
ejpam-5712	246	11	a	a	DET
ejpam-5712	246	12	rigid	rigid	ADJ
ejpam-5712	246	13	body	body	NOUN
ejpam-5712	246	14	.	.	PUNCT
ejpam-5712	247	1	journal	journal	PROPN
ejpam-5712	247	2	of	of	ADP
ejpam-5712	247	3	aerospace	aerospace	PROPN
ejpam-5712	247	4	engineering	engineering	NOUN
ejpam-5712	247	5	,	,	PUNCT
ejpam-5712	247	6	30(4):04017021	30(4):04017021	NUM
ejpam-5712	247	7	,	,	PUNCT
ejpam-5712	247	8	2017	2017	NUM
ejpam-5712	247	9	.	.	PUNCT
ejpam-5712	248	1	[	[	X
ejpam-5712	248	2	5	5	NUM
ejpam-5712	248	3	]	]	PUNCT
ejpam-5712	248	4	ts	ts	ADP
ejpam-5712	248	5	amer	amer	PROPN
ejpam-5712	248	6	and	and	CCONJ
ejpam-5712	248	7	i	i	PRON
ejpam-5712	248	8	m	m	VERB
ejpam-5712	248	9	abady	abady	ADJ
ejpam-5712	248	10	.	.	PUNCT
ejpam-5712	249	1	on	on	ADP
ejpam-5712	249	2	the	the	DET
ejpam-5712	249	3	motion	motion	NOUN
ejpam-5712	249	4	of	of	ADP
ejpam-5712	249	5	a	a	DET
ejpam-5712	249	6	gyro	gyro	NOUN
ejpam-5712	249	7	in	in	ADP
ejpam-5712	249	8	the	the	DET
ejpam-5712	249	9	presence	presence	NOUN
ejpam-5712	249	10	of	of	ADP
ejpam-5712	249	11	a	a	DET
ejpam-5712	249	12	newtonian	newtonian	ADJ
ejpam-5712	249	13	force	force	NOUN
ejpam-5712	249	14	field	field	NOUN
ejpam-5712	249	15	and	and	CCONJ
ejpam-5712	249	16	applied	apply	VERB
ejpam-5712	249	17	moments	moment	NOUN
ejpam-5712	249	18	.	.	PUNCT
ejpam-5712	250	1	mathematics	mathematic	NOUN
ejpam-5712	250	2	and	and	CCONJ
ejpam-5712	250	3	mechanics	mechanic	NOUN
ejpam-5712	250	4	of	of	ADP
ejpam-5712	250	5	solids	solid	NOUN
ejpam-5712	250	6	,	,	PUNCT
ejpam-5712	250	7	23(9):1263–1273	23(9):1263–1273	NUM
ejpam-5712	250	8	,	,	PUNCT
ejpam-5712	250	9	2018	2018	NUM
ejpam-5712	250	10	.	.	PUNCT
ejpam-5712	251	1	[	[	X
ejpam-5712	251	2	6	6	NUM
ejpam-5712	251	3	]	]	PUNCT
ejpam-5712	251	4	ts	ts	ADP
ejpam-5712	251	5	amer	amer	PROPN
ejpam-5712	251	6	,	,	PUNCT
ejpam-5712	251	7	i	i	PRON
ejpam-5712	251	8	m	m	VERB
ejpam-5712	251	9	abady	abady	ADJ
ejpam-5712	251	10	,	,	PUNCT
ejpam-5712	251	11	ha	ha	INTJ
ejpam-5712	251	12	abdo	abdo	PROPN
ejpam-5712	251	13	,	,	PUNCT
ejpam-5712	251	14	and	and	CCONJ
ejpam-5712	251	15	hf	hf	ADP
ejpam-5712	251	16	el	el	NOUN
ejpam-5712	251	17	-	-	PUNCT
ejpam-5712	251	18	kafly	kafly	NOUN
ejpam-5712	251	19	.	.	PUNCT
ejpam-5712	252	1	the	the	DET
ejpam-5712	252	2	asymptotic	asymptotic	ADJ
ejpam-5712	252	3	solutions	solution	NOUN
ejpam-5712	252	4	for	for	ADP
ejpam-5712	252	5	the	the	DET
ejpam-5712	252	6	motion	motion	NOUN
ejpam-5712	252	7	of	of	ADP
ejpam-5712	252	8	a	a	DET
ejpam-5712	252	9	charged	charge	VERB
ejpam-5712	252	10	symmetric	symmetric	ADJ
ejpam-5712	252	11	gyrostat	gyrostat	NOUN
ejpam-5712	252	12	in	in	ADP
ejpam-5712	252	13	the	the	DET
ejpam-5712	252	14	irrational	irrational	ADJ
ejpam-5712	252	15	frequency	frequency	NOUN
ejpam-5712	252	16	case	case	NOUN
ejpam-5712	252	17	.	.	PUNCT
ejpam-5712	253	1	scientific	scientific	ADJ
ejpam-5712	253	2	reports	report	NOUN
ejpam-5712	253	3	,	,	PUNCT
ejpam-5712	253	4	14(1):16662	14(1):16662	NUM
ejpam-5712	253	5	,	,	PUNCT
ejpam-5712	253	6	2024	2024	NUM
ejpam-5712	253	7	.	.	PUNCT
ejpam-5712	254	1	[	[	X
ejpam-5712	254	2	7	7	X
ejpam-5712	254	3	]	]	PUNCT
ejpam-5712	254	4	ts	ts	ADP
ejpam-5712	254	5	amer	amer	PROPN
ejpam-5712	254	6	,	,	PUNCT
ejpam-5712	254	7	elneklawy	elneklawy	PROPN
ejpam-5712	254	8	ah	ah	INTJ
ejpam-5712	254	9	,	,	PUNCT
ejpam-5712	254	10	and	and	CCONJ
ejpam-5712	254	11	el	el	NOUN
ejpam-5712	254	12	-	-	PUNCT
ejpam-5712	254	13	kafly	kafly	NOUN
ejpam-5712	254	14	hf	hf	NOUN
ejpam-5712	254	15	.	.	PUNCT
ejpam-5712	255	1	a	a	DET
ejpam-5712	255	2	novel	novel	ADJ
ejpam-5712	255	3	approach	approach	NOUN
ejpam-5712	255	4	to	to	ADP
ejpam-5712	255	5	solving	solve	VERB
ejpam-5712	255	6	euler	euler	NOUN
ejpam-5712	255	7	’s	’s	PART
ejpam-5712	255	8	nonlinear	nonlinear	ADJ
ejpam-5712	255	9	equations	equation	NOUN
ejpam-5712	255	10	for	for	ADP
ejpam-5712	255	11	a	a	DET
ejpam-5712	255	12	3dof	3dof	NUM
ejpam-5712	255	13	dynamical	dynamical	ADJ
ejpam-5712	255	14	motion	motion	NOUN
ejpam-5712	255	15	of	of	ADP
ejpam-5712	255	16	a	a	DET
ejpam-5712	255	17	rigid	rigid	ADJ
ejpam-5712	255	18	body	body	NOUN
ejpam-5712	255	19	under	under	ADP
ejpam-5712	255	20	gyrostatic	gyrostatic	ADJ
ejpam-5712	255	21	and	and	CCONJ
ejpam-5712	255	22	constant	constant	ADJ
ejpam-5712	255	23	torques	torque	NOUN
ejpam-5712	255	24	.	.	PUNCT
ejpam-5712	256	1	journal	journal	PROPN
ejpam-5712	256	2	of	of	ADP
ejpam-5712	256	3	low	low	ADJ
ejpam-5712	256	4	frequency	frequency	NOUN
ejpam-5712	256	5	noise	noise	NOUN
ejpam-5712	256	6	,	,	PUNCT
ejpam-5712	256	7	vibration	vibration	NOUN
ejpam-5712	256	8	and	and	CCONJ
ejpam-5712	256	9	active	active	ADJ
ejpam-5712	256	10	control	control	NOUN
ejpam-5712	256	11	,	,	PUNCT
ejpam-5712	256	12	page	page	NOUN
ejpam-5712	256	13	14613484241293859	14613484241293859	NUM
ejpam-5712	256	14	,	,	PUNCT
ejpam-5712	256	15	2024	2024	NUM
ejpam-5712	256	16	.	.	PUNCT
ejpam-5712	257	1	[	[	X
ejpam-5712	257	2	8	8	NUM
ejpam-5712	257	3	]	]	PUNCT
ejpam-5712	257	4	ts	ts	ADP
ejpam-5712	257	5	amer	amer	PROPN
ejpam-5712	257	6	,	,	PUNCT
ejpam-5712	257	7	ws	ws	PROPN
ejpam-5712	257	8	amer	amer	PROPN
ejpam-5712	257	9	,	,	PUNCT
ejpam-5712	257	10	m	m	PROPN
ejpam-5712	257	11	al	al	PROPN
ejpam-5712	257	12	nuwairan	nuwairan	NOUN
ejpam-5712	257	13	,	,	PUNCT
ejpam-5712	257	14	and	and	CCONJ
ejpam-5712	257	15	hf	hf	ADP
ejpam-5712	257	16	elkafly	elkafly	ADV
ejpam-5712	257	17	.	.	PUNCT
ejpam-5712	258	1	evaluating	evaluate	VERB
ejpam-5712	258	2	the	the	DET
ejpam-5712	258	3	motion	motion	NOUN
ejpam-5712	258	4	of	of	ADP
ejpam-5712	258	5	a	a	DET
ejpam-5712	258	6	charged	charge	VERB
ejpam-5712	258	7	solid	solid	ADJ
ejpam-5712	258	8	body	body	NOUN
ejpam-5712	258	9	having	have	VERB
ejpam-5712	258	10	a	a	DET
ejpam-5712	258	11	globular	globular	ADJ
ejpam-5712	258	12	cavity	cavity	NOUN
ejpam-5712	258	13	.	.	PUNCT
ejpam-5712	259	1	alexandria	alexandria	PROPN
ejpam-5712	259	2	engineering	engineering	PROPN
ejpam-5712	259	3	journal	journal	PROPN
ejpam-5712	259	4	,	,	PUNCT
ejpam-5712	259	5	104:85	104:85	NUM
ejpam-5712	259	6	–	–	PUNCT
ejpam-5712	259	7	94	94	NUM
ejpam-5712	259	8	,	,	PUNCT
ejpam-5712	259	9	2024	2024	NUM
ejpam-5712	259	10	.	.	PUNCT
ejpam-5712	260	1	[	[	X
ejpam-5712	260	2	9	9	NUM
ejpam-5712	260	3	]	]	PUNCT
ejpam-5712	260	4	ts	ts	ADP
ejpam-5712	260	5	amer	amer	PROPN
ejpam-5712	260	6	,	,	PUNCT
ejpam-5712	260	7	hf	hf	PROPN
ejpam-5712	260	8	el	el	NOUN
ejpam-5712	260	9	-	-	PUNCT
ejpam-5712	260	10	kafly	kafly	NOUN
ejpam-5712	260	11	,	,	PUNCT
ejpam-5712	260	12	ah	ah	INTJ
ejpam-5712	260	13	elneklawy	elneklawy	NOUN
ejpam-5712	260	14	,	,	PUNCT
ejpam-5712	260	15	and	and	CCONJ
ejpam-5712	260	16	ws	ws	PROPN
ejpam-5712	260	17	amer	amer	PROPN
ejpam-5712	260	18	.	.	PUNCT
ejpam-5712	261	1	modeling	model	VERB
ejpam-5712	261	2	analysis	analysis	NOUN
ejpam-5712	261	3	on	on	ADP
ejpam-5712	261	4	the	the	DET
ejpam-5712	261	5	influence	influence	NOUN
ejpam-5712	261	6	of	of	ADP
ejpam-5712	261	7	the	the	DET
ejpam-5712	261	8	gyrostatic	gyrostatic	ADJ
ejpam-5712	261	9	moment	moment	NOUN
ejpam-5712	261	10	on	on	ADP
ejpam-5712	261	11	the	the	DET
ejpam-5712	261	12	motion	motion	NOUN
ejpam-5712	261	13	of	of	ADP
ejpam-5712	261	14	a	a	DET
ejpam-5712	261	15	charged	charge	VERB
ejpam-5712	261	16	rigid	rigid	ADJ
ejpam-5712	261	17	body	body	NOUN
ejpam-5712	261	18	subjected	subject	VERB
ejpam-5712	261	19	to	to	ADP
ejpam-5712	261	20	constant	constant	ADJ
ejpam-5712	261	21	axial	axial	ADJ
ejpam-5712	261	22	torque	torque	NOUN
ejpam-5712	261	23	.	.	PUNCT
ejpam-5712	262	1	journal	journal	NOUN
ejpam-5712	262	2	of	of	ADP
ejpam-5712	262	3	low	low	ADJ
ejpam-5712	262	4	frequency	frequency	NOUN
ejpam-5712	262	5	noise	noise	NOUN
ejpam-5712	262	6	,	,	PUNCT
ejpam-5712	262	7	vibration	vibration	NOUN
ejpam-5712	262	8	and	and	CCONJ
ejpam-5712	262	9	active	active	ADJ
ejpam-5712	262	10	control	control	NOUN
ejpam-5712	262	11	,	,	PUNCT
ejpam-5712	262	12	43(4):1593–1610	43(4):1593–1610	NUM
ejpam-5712	262	13	,	,	PUNCT
ejpam-5712	262	14	2024	2024	NUM
ejpam-5712	262	15	.	.	PUNCT
ejpam-5712	263	1	[	[	X
ejpam-5712	263	2	10	10	NUM
ejpam-5712	263	3	]	]	PUNCT
ejpam-5712	263	4	ts	ts	ADP
ejpam-5712	263	5	amer	amer	PROPN
ejpam-5712	263	6	,	,	PUNCT
ejpam-5712	263	7	hf	hf	PROPN
ejpam-5712	263	8	el	el	NOUN
ejpam-5712	263	9	-	-	PUNCT
ejpam-5712	263	10	kafly	kafly	NOUN
ejpam-5712	263	11	,	,	PUNCT
ejpam-5712	263	12	ah	ah	INTJ
ejpam-5712	263	13	elneklawy	elneklawy	NOUN
ejpam-5712	263	14	,	,	PUNCT
ejpam-5712	263	15	and	and	CCONJ
ejpam-5712	263	16	aa	aa	PROPN
ejpam-5712	263	17	galal	galal	PROPN
ejpam-5712	263	18	.	.	PUNCT
ejpam-5712	264	1	analyzing	analyze	VERB
ejpam-5712	264	2	the	the	DET
ejpam-5712	264	3	dynamics	dynamic	NOUN
ejpam-5712	264	4	of	of	ADP
ejpam-5712	264	5	a	a	DET
ejpam-5712	264	6	charged	charge	VERB
ejpam-5712	264	7	rotating	rotate	VERB
ejpam-5712	264	8	rigid	rigid	ADJ
ejpam-5712	264	9	body	body	NOUN
ejpam-5712	264	10	under	under	ADP
ejpam-5712	264	11	constant	constant	ADJ
ejpam-5712	264	12	torques	torque	NOUN
ejpam-5712	264	13	.	.	PUNCT
ejpam-5712	265	1	scientific	scientific	ADJ
ejpam-5712	265	2	reports	report	NOUN
ejpam-5712	265	3	,	,	PUNCT
ejpam-5712	265	4	14(1):9839	14(1):9839	NUM
ejpam-5712	265	5	,	,	PUNCT
ejpam-5712	265	6	2024	2024	NUM
ejpam-5712	265	7	.	.	PUNCT
ejpam-5712	266	1	[	[	X
ejpam-5712	266	2	11	11	NUM
ejpam-5712	266	3	]	]	PUNCT
ejpam-5712	266	4	ts	ts	ADP
ejpam-5712	266	5	amer	amer	PROPN
ejpam-5712	266	6	,	,	PUNCT
ejpam-5712	266	7	hf	hf	PROPN
ejpam-5712	266	8	el	el	NOUN
ejpam-5712	266	9	-	-	PUNCT
ejpam-5712	266	10	kafly	kafly	NOUN
ejpam-5712	266	11	,	,	PUNCT
ejpam-5712	266	12	ah	ah	INTJ
ejpam-5712	266	13	elneklawy	elneklawy	NOUN
ejpam-5712	266	14	,	,	PUNCT
ejpam-5712	266	15	and	and	CCONJ
ejpam-5712	266	16	aa	aa	PROPN
ejpam-5712	266	17	galal	galal	PROPN
ejpam-5712	266	18	.	.	PUNCT
ejpam-5712	267	1	analyzing	analyze	VERB
ejpam-5712	267	2	the	the	DET
ejpam-5712	267	3	spatial	spatial	ADJ
ejpam-5712	267	4	motion	motion	NOUN
ejpam-5712	267	5	of	of	ADP
ejpam-5712	267	6	a	a	DET
ejpam-5712	267	7	rigid	rigid	ADJ
ejpam-5712	267	8	body	body	NOUN
ejpam-5712	267	9	subjected	subject	VERB
ejpam-5712	267	10	to	to	ADP
ejpam-5712	267	11	constant	constant	ADJ
ejpam-5712	267	12	body	body	NOUN
ejpam-5712	267	13	-	-	PUNCT
ejpam-5712	267	14	fixed	fix	VERB
ejpam-5712	267	15	torques	torque	NOUN
ejpam-5712	267	16	and	and	CCONJ
ejpam-5712	267	17	gyrostatic	gyrostatic	ADJ
ejpam-5712	267	18	moment	moment	NOUN
ejpam-5712	267	19	.	.	PUNCT
ejpam-5712	268	1	scientific	scientific	ADJ
ejpam-5712	268	2	reports	report	NOUN
ejpam-5712	268	3	,	,	PUNCT
ejpam-5712	268	4	14(1):5390	14(1):5390	NUM
ejpam-5712	268	5	,	,	PUNCT
ejpam-5712	268	6	2024	2024	NUM
ejpam-5712	268	7	.	.	PUNCT
ejpam-5712	269	1	[	[	X
ejpam-5712	269	2	12	12	NUM
ejpam-5712	269	3	]	]	PUNCT
ejpam-5712	269	4	ts	ts	ADP
ejpam-5712	269	5	amer	amer	PROPN
ejpam-5712	269	6	,	,	PUNCT
ejpam-5712	269	7	am	be	AUX
ejpam-5712	269	8	farag	farag	NOUN
ejpam-5712	269	9	,	,	PUNCT
ejpam-5712	269	10	and	and	CCONJ
ejpam-5712	269	11	ws	ws	PROPN
ejpam-5712	269	12	amer	amer	PROPN
ejpam-5712	269	13	.	.	PUNCT
ejpam-5712	270	1	the	the	DET
ejpam-5712	270	2	dynamical	dynamical	ADJ
ejpam-5712	270	3	motion	motion	NOUN
ejpam-5712	270	4	of	of	ADP
ejpam-5712	270	5	a	a	DET
ejpam-5712	270	6	rigid	rigid	ADJ
ejpam-5712	270	7	body	body	NOUN
ejpam-5712	270	8	for	for	ADP
ejpam-5712	270	9	the	the	DET
ejpam-5712	270	10	case	case	NOUN
ejpam-5712	270	11	of	of	ADP
ejpam-5712	270	12	ellipsoid	ellipsoid	NOUN
ejpam-5712	270	13	inertia	inertia	NOUN
ejpam-5712	270	14	close	close	ADJ
ejpam-5712	270	15	to	to	ADP
ejpam-5712	270	16	ellipsoid	ellipsoid	NOUN
ejpam-5712	270	17	of	of	ADP
ejpam-5712	270	18	rotation	rotation	NOUN
ejpam-5712	270	19	.	.	PUNCT
ejpam-5712	271	1	mechanics	mechanic	NOUN
ejpam-5712	271	2	research	research	NOUN
ejpam-5712	271	3	communications	communication	NOUN
ejpam-5712	271	4	,	,	PUNCT
ejpam-5712	271	5	108:103583	108:103583	NUM
ejpam-5712	271	6	,	,	PUNCT
ejpam-5712	271	7	2020	2020	NUM
ejpam-5712	271	8	.	.	PUNCT
ejpam-5712	272	1	[	[	X
ejpam-5712	272	2	13	13	NUM
ejpam-5712	272	3	]	]	PUNCT
ejpam-5712	272	4	felix	felix	PROPN
ejpam-5712	272	5	l	l	PROPN
ejpam-5712	272	6	chernousko	chernousko	ADV
ejpam-5712	272	7	,	,	PUNCT
ejpam-5712	272	8	leonid	leonid	PROPN
ejpam-5712	272	9	d	d	PROPN
ejpam-5712	272	10	akulenko	akulenko	PROPN
ejpam-5712	272	11	,	,	PUNCT
ejpam-5712	272	12	and	and	CCONJ
ejpam-5712	272	13	dmytro	dmytro	PROPN
ejpam-5712	272	14	d	d	PROPN
ejpam-5712	272	15	leshchenko	leshchenko	PROPN
ejpam-5712	272	16	.	.	PUNCT
ejpam-5712	273	1	evolution	evolution	NOUN
ejpam-5712	273	2	of	of	ADP
ejpam-5712	273	3	motions	motion	NOUN
ejpam-5712	273	4	of	of	ADP
ejpam-5712	273	5	a	a	DET
ejpam-5712	273	6	rigid	rigid	ADJ
ejpam-5712	273	7	body	body	NOUN
ejpam-5712	273	8	about	about	ADP
ejpam-5712	273	9	its	its	PRON
ejpam-5712	273	10	center	center	NOUN
ejpam-5712	273	11	of	of	ADP
ejpam-5712	273	12	mass	mass	PROPN
ejpam-5712	273	13	.	.	PUNCT
ejpam-5712	273	14	springer	springer	NOUN
ejpam-5712	273	15	,	,	PUNCT
ejpam-5712	273	16	2017	2017	NUM
ejpam-5712	273	17	.	.	PUNCT
ejpam-5712	274	1	[	[	X
ejpam-5712	274	2	14	14	NUM
ejpam-5712	274	3	]	]	X
ejpam-5712	274	4	sergey	sergey	PROPN
ejpam-5712	274	5	ershkov	ershkov	PROPN
ejpam-5712	274	6	and	and	CCONJ
ejpam-5712	274	7	dmytro	dmytro	PROPN
ejpam-5712	274	8	leshchenko	leshchenko	PROPN
ejpam-5712	274	9	.	.	PUNCT
ejpam-5712	275	1	solving	solve	VERB
ejpam-5712	275	2	procedure	procedure	NOUN
ejpam-5712	275	3	for	for	ADP
ejpam-5712	275	4	the	the	DET
ejpam-5712	275	5	dynamics	dynamic	NOUN
ejpam-5712	275	6	of	of	ADP
ejpam-5712	275	7	charged	charge	VERB
ejpam-5712	275	8	particle	particle	NOUN
ejpam-5712	275	9	in	in	ADP
ejpam-5712	275	10	variable	variable	ADJ
ejpam-5712	275	11	(	(	PUNCT
ejpam-5712	275	12	time	time	NOUN
ejpam-5712	275	13	-	-	PUNCT
ejpam-5712	275	14	dependent	dependent	ADJ
ejpam-5712	275	15	)	)	PUNCT
ejpam-5712	275	16	electromagnetic	electromagnetic	ADJ
ejpam-5712	275	17	field	field	NOUN
ejpam-5712	275	18	.	.	PUNCT
ejpam-5712	276	1	zeitschrift	zeitschrift	NOUN
ejpam-5712	276	2	für	für	PROPN
ejpam-5712	276	3	angewandte	angewandte	PROPN
ejpam-5712	276	4	mathematik	mathematik	PROPN
ejpam-5712	276	5	und	und	PROPN
ejpam-5712	276	6	physik	physik	PROPN
ejpam-5712	276	7	,	,	PUNCT
ejpam-5712	276	8	71:1–8	71:1–8	NUM
ejpam-5712	276	9	,	,	PUNCT
ejpam-5712	276	10	2020	2020	NUM
ejpam-5712	276	11	.	.	PUNCT
ejpam-5712	277	1	[	[	X
ejpam-5712	277	2	15	15	NUM
ejpam-5712	277	3	]	]	X
ejpam-5712	277	4	sergey	sergey	PROPN
ejpam-5712	277	5	ershkov	ershkov	PROPN
ejpam-5712	277	6	,	,	PUNCT
ejpam-5712	277	7	dmytro	dmytro	PROPN
ejpam-5712	277	8	leshchenko	leshchenko	PROPN
ejpam-5712	277	9	,	,	PUNCT
ejpam-5712	277	10	and	and	CCONJ
ejpam-5712	277	11	alla	alla	PROPN
ejpam-5712	277	12	rachinskaya	rachinskaya	NOUN
ejpam-5712	277	13	.	.	PUNCT
ejpam-5712	278	1	note	note	NOUN
ejpam-5712	278	2	on	on	ADP
ejpam-5712	278	3	the	the	DET
ejpam-5712	278	4	trapped	trap	VERB
ejpam-5712	278	5	motion	motion	NOUN
ejpam-5712	278	6	in	in	ADP
ejpam-5712	278	7	er3bp	er3bp	PROPN
ejpam-5712	278	8	at	at	ADP
ejpam-5712	278	9	the	the	DET
ejpam-5712	278	10	vicinity	vicinity	NOUN
ejpam-5712	278	11	of	of	ADP
ejpam-5712	278	12	barycenter	barycenter	NOUN
ejpam-5712	278	13	.	.	PUNCT
ejpam-5712	279	1	archive	archive	NOUN
ejpam-5712	279	2	of	of	ADP
ejpam-5712	279	3	applied	apply	VERB
ejpam-5712	279	4	mechanics	mechanic	NOUN
ejpam-5712	279	5	,	,	PUNCT
ejpam-5712	279	6	91(3):997	91(3):997	NUM
ejpam-5712	279	7	–	–	PUNCT
ejpam-5712	279	8	1005	1005	NUM
ejpam-5712	279	9	,	,	PUNCT
ejpam-5712	279	10	2021	2021	NUM
ejpam-5712	279	11	.	.	PUNCT
ejpam-5712	280	1	[	[	X
ejpam-5712	280	2	16	16	NUM
ejpam-5712	280	3	]	]	X
ejpam-5712	280	4	sergey	sergey	PROPN
ejpam-5712	280	5	ershkov	ershkov	PROPN
ejpam-5712	280	6	and	and	CCONJ
ejpam-5712	280	7	alla	alla	PROPN
ejpam-5712	280	8	rachinskaya	rachinskaya	PROPN
ejpam-5712	280	9	.	.	PUNCT
ejpam-5712	281	1	semi	semi	ADJ
ejpam-5712	281	2	-	-	ADJ
ejpam-5712	281	3	analytical	analytical	ADJ
ejpam-5712	281	4	solution	solution	NOUN
ejpam-5712	281	5	for	for	ADP
ejpam-5712	281	6	the	the	DET
ejpam-5712	281	7	trapped	trap	VERB
ejpam-5712	281	8	orbits	orbit	NOUN
ejpam-5712	281	9	of	of	ADP
ejpam-5712	281	10	satellite	satellite	NOUN
ejpam-5712	281	11	near	near	ADP
ejpam-5712	281	12	the	the	DET
ejpam-5712	281	13	planet	planet	NOUN
ejpam-5712	281	14	in	in	ADP
ejpam-5712	281	15	er3bp	er3bp	PROPN
ejpam-5712	281	16	.	.	PUNCT
ejpam-5712	282	1	archive	archive	NOUN
ejpam-5712	282	2	of	of	ADP
ejpam-5712	282	3	applied	apply	VERB
ejpam-5712	282	4	mechanics	mechanic	NOUN
ejpam-5712	282	5	,	,	PUNCT
ejpam-5712	282	6	91:1407–1422	91:1407–1422	NUM
ejpam-5712	282	7	,	,	PUNCT
ejpam-5712	282	8	2021	2021	NUM
ejpam-5712	282	9	.	.	PUNCT
ejpam-5712	283	1	t.	t.	PROPN
ejpam-5712	283	2	s.	s.	PROPN
ejpam-5712	283	3	amer	amer	PROPN
ejpam-5712	283	4	et	et	PROPN
ejpam-5712	283	5	al	al	PROPN
ejpam-5712	283	6	.	.	PUNCT
ejpam-5712	283	7	/	/	SYM
ejpam-5712	283	8	eur	eur	PROPN
ejpam-5712	283	9	.	.	PUNCT
ejpam-5712	284	1	j.	j.	PROPN
ejpam-5712	284	2	pure	pure	PROPN
ejpam-5712	284	3	appl	appl	PROPN
ejpam-5712	284	4	.	.	PROPN
ejpam-5712	284	5	math	math	PROPN
ejpam-5712	284	6	,	,	PUNCT
ejpam-5712	284	7	18	18	NUM
ejpam-5712	284	8	(	(	PUNCT
ejpam-5712	284	9	1	1	NUM
ejpam-5712	284	10	)	)	PUNCT
ejpam-5712	284	11	(	(	PUNCT
ejpam-5712	284	12	2025	2025	NUM
ejpam-5712	284	13	)	)	PUNCT
ejpam-5712	284	14	,	,	PUNCT
ejpam-5712	284	15	5712	5712	NUM
ejpam-5712	284	16	13	13	NUM
ejpam-5712	284	17	of	of	ADP
ejpam-5712	284	18	14	14	NUM
ejpam-5712	284	19	[	[	X
ejpam-5712	284	20	17	17	NUM
ejpam-5712	284	21	]	]	X
ejpam-5712	284	22	sergey	sergey	PROPN
ejpam-5712	284	23	v	v	PROPN
ejpam-5712	284	24	ershkov	ershkov	PROPN
ejpam-5712	284	25	.	.	PUNCT
ejpam-5712	285	1	new	new	ADJ
ejpam-5712	285	2	exact	exact	ADJ
ejpam-5712	285	3	solution	solution	NOUN
ejpam-5712	285	4	of	of	ADP
ejpam-5712	285	5	euler	euler	PROPN
ejpam-5712	285	6	’s	’s	PART
ejpam-5712	285	7	equations	equation	NOUN
ejpam-5712	285	8	(	(	PUNCT
ejpam-5712	285	9	rigid	rigid	ADJ
ejpam-5712	285	10	body	body	NOUN
ejpam-5712	285	11	dynamics	dynamic	NOUN
ejpam-5712	285	12	)	)	PUNCT
ejpam-5712	285	13	in	in	ADP
ejpam-5712	285	14	the	the	DET
ejpam-5712	285	15	case	case	NOUN
ejpam-5712	285	16	of	of	ADP
ejpam-5712	285	17	rotation	rotation	NOUN
ejpam-5712	285	18	over	over	ADP
ejpam-5712	285	19	the	the	DET
ejpam-5712	285	20	fixed	fix	VERB
ejpam-5712	285	21	point	point	NOUN
ejpam-5712	285	22	.	.	PUNCT
ejpam-5712	286	1	archive	archive	NOUN
ejpam-5712	286	2	of	of	ADP
ejpam-5712	286	3	applied	apply	VERB
ejpam-5712	286	4	mechanics	mechanic	NOUN
ejpam-5712	286	5	,	,	PUNCT
ejpam-5712	286	6	84:385–389	84:385–389	PROPN
ejpam-5712	286	7	,	,	PUNCT
ejpam-5712	286	8	2014	2014	NUM
ejpam-5712	286	9	.	.	PUNCT
ejpam-5712	287	1	[	[	X
ejpam-5712	287	2	18	18	NUM
ejpam-5712	287	3	]	]	X
ejpam-5712	287	4	sv	sv	PROPN
ejpam-5712	287	5	ershkov	ershkov	PROPN
ejpam-5712	287	6	and	and	CCONJ
ejpam-5712	287	7	rv	rv	PROPN
ejpam-5712	287	8	shamin	shamin	PROPN
ejpam-5712	287	9	.	.	PUNCT
ejpam-5712	288	1	on	on	ADP
ejpam-5712	288	2	metallic	metallic	ADJ
ejpam-5712	288	3	-	-	PUNCT
ejpam-5712	288	4	type	type	NOUN
ejpam-5712	288	5	asteroid	asteroid	NOUN
ejpam-5712	288	6	rotation	rotation	NOUN
ejpam-5712	288	7	moving	move	VERB
ejpam-5712	288	8	in	in	ADP
ejpam-5712	288	9	magnetic	magnetic	ADJ
ejpam-5712	288	10	field	field	NOUN
ejpam-5712	288	11	(	(	PUNCT
ejpam-5712	288	12	introducing	introduce	VERB
ejpam-5712	288	13	magnetic	magnetic	ADJ
ejpam-5712	288	14	second	second	ADJ
ejpam-5712	288	15	-	-	PUNCT
ejpam-5712	288	16	grade	grade	NOUN
ejpam-5712	288	17	yorp	yorp	ADJ
ejpam-5712	288	18	effect	effect	NOUN
ejpam-5712	288	19	)	)	PUNCT
ejpam-5712	288	20	.	.	PUNCT
ejpam-5712	289	1	acta	acta	PROPN
ejpam-5712	289	2	astronautica	astronautica	PROPN
ejpam-5712	289	3	,	,	PUNCT
ejpam-5712	289	4	224:195	224:195	NOUN
ejpam-5712	289	5	–	–	PUNCT
ejpam-5712	289	6	201	201	NUM
ejpam-5712	289	7	,	,	PUNCT
ejpam-5712	289	8	2024	2024	NUM
ejpam-5712	289	9	.	.	PUNCT
ejpam-5712	290	1	[	[	X
ejpam-5712	290	2	19	19	NUM
ejpam-5712	290	3	]	]	X
ejpam-5712	290	4	aa	aa	PROPN
ejpam-5712	290	5	galal	galal	PROPN
ejpam-5712	290	6	,	,	PUNCT
ejpam-5712	290	7	ts	ts	ADP
ejpam-5712	290	8	amer	amer	PROPN
ejpam-5712	290	9	,	,	PUNCT
ejpam-5712	290	10	ah	ah	INTJ
ejpam-5712	290	11	elneklawy	elneklawy	NOUN
ejpam-5712	290	12	,	,	PUNCT
ejpam-5712	290	13	and	and	CCONJ
ejpam-5712	290	14	hf	hf	ADP
ejpam-5712	290	15	el	el	NOUN
ejpam-5712	290	16	-	-	PUNCT
ejpam-5712	290	17	kafly	kafly	NOUN
ejpam-5712	290	18	.	.	PUNCT
ejpam-5712	291	1	studying	study	VERB
ejpam-5712	291	2	the	the	DET
ejpam-5712	291	3	influence	influence	NOUN
ejpam-5712	291	4	of	of	ADP
ejpam-5712	291	5	a	a	DET
ejpam-5712	291	6	gyrostatic	gyrostatic	ADJ
ejpam-5712	291	7	moment	moment	NOUN
ejpam-5712	291	8	on	on	ADP
ejpam-5712	291	9	the	the	DET
ejpam-5712	291	10	motion	motion	NOUN
ejpam-5712	291	11	of	of	ADP
ejpam-5712	291	12	a	a	DET
ejpam-5712	291	13	charged	charge	VERB
ejpam-5712	291	14	rigid	rigid	ADJ
ejpam-5712	291	15	body	body	NOUN
ejpam-5712	291	16	containing	contain	VERB
ejpam-5712	291	17	a	a	DET
ejpam-5712	291	18	viscous	viscous	ADJ
ejpam-5712	291	19	incompressible	incompressible	ADJ
ejpam-5712	291	20	liquid	liquid	NOUN
ejpam-5712	291	21	.	.	PUNCT
ejpam-5712	292	1	the	the	DET
ejpam-5712	292	2	european	european	PROPN
ejpam-5712	292	3	physical	physical	PROPN
ejpam-5712	292	4	journal	journal	PROPN
ejpam-5712	292	5	plus	plus	CCONJ
ejpam-5712	292	6	,	,	PUNCT
ejpam-5712	292	7	138(10):1–13	138(10):1–13	NUM
ejpam-5712	292	8	,	,	PUNCT
ejpam-5712	292	9	2023	2023	NUM
ejpam-5712	292	10	.	.	PUNCT
ejpam-5712	293	1	[	[	X
ejpam-5712	293	2	20	20	NUM
ejpam-5712	293	3	]	]	PUNCT
ejpam-5712	293	4	giovanni	giovanni	PROPN
ejpam-5712	293	5	p	p	PROPN
ejpam-5712	293	6	galdi	galdi	NOUN
ejpam-5712	293	7	.	.	PUNCT
ejpam-5712	294	1	large	large	ADJ
ejpam-5712	294	2	-	-	PUNCT
ejpam-5712	294	3	time	time	NOUN
ejpam-5712	294	4	behavior	behavior	NOUN
ejpam-5712	294	5	of	of	ADP
ejpam-5712	294	6	a	a	DET
ejpam-5712	294	7	rigid	rigid	ADJ
ejpam-5712	294	8	body	body	NOUN
ejpam-5712	294	9	of	of	ADP
ejpam-5712	294	10	arbitrary	arbitrary	ADJ
ejpam-5712	294	11	shape	shape	NOUN
ejpam-5712	294	12	in	in	ADP
ejpam-5712	294	13	a	a	DET
ejpam-5712	294	14	viscous	viscous	ADJ
ejpam-5712	294	15	fluid	fluid	NOUN
ejpam-5712	294	16	under	under	ADP
ejpam-5712	294	17	the	the	DET
ejpam-5712	294	18	action	action	NOUN
ejpam-5712	294	19	of	of	ADP
ejpam-5712	294	20	prescribed	prescribed	ADJ
ejpam-5712	294	21	forces	force	NOUN
ejpam-5712	294	22	and	and	CCONJ
ejpam-5712	294	23	torques	torque	NOUN
ejpam-5712	294	24	.	.	PUNCT
ejpam-5712	295	1	journal	journal	PROPN
ejpam-5712	295	2	of	of	ADP
ejpam-5712	295	3	mathematical	mathematical	ADJ
ejpam-5712	295	4	fluid	fluid	ADJ
ejpam-5712	295	5	mechanics	mechanic	NOUN
ejpam-5712	295	6	,	,	PUNCT
ejpam-5712	295	7	25(3):43	25(3):43	NUM
ejpam-5712	295	8	,	,	PUNCT
ejpam-5712	295	9	2023	2023	NUM
ejpam-5712	295	10	.	.	PUNCT
ejpam-5712	296	1	[	[	X
ejpam-5712	296	2	21	21	NUM
ejpam-5712	296	3	]	]	X
ejpam-5712	296	4	ji	ji	PROPN
ejpam-5712	296	5	-	-	PROPN
ejpam-5712	296	6	huan	huan	PROPN
ejpam-5712	296	7	he	he	PRON
ejpam-5712	296	8	,	,	PUNCT
ejpam-5712	296	9	ts	ts	ADP
ejpam-5712	296	10	amer	amer	PROPN
ejpam-5712	296	11	,	,	PUNCT
ejpam-5712	296	12	ws	ws	PROPN
ejpam-5712	296	13	amer	amer	PROPN
ejpam-5712	296	14	,	,	PUNCT
ejpam-5712	296	15	hf	hf	ADP
ejpam-5712	296	16	elkafly	elkafly	ADJ
ejpam-5712	296	17	,	,	PUNCT
ejpam-5712	296	18	and	and	CCONJ
ejpam-5712	296	19	aa	aa	PROPN
ejpam-5712	296	20	galal	galal	PROPN
ejpam-5712	296	21	.	.	PUNCT
ejpam-5712	297	1	dynamical	dynamical	ADJ
ejpam-5712	297	2	analysis	analysis	NOUN
ejpam-5712	297	3	of	of	ADP
ejpam-5712	297	4	a	a	DET
ejpam-5712	297	5	rotating	rotate	VERB
ejpam-5712	297	6	rigid	rigid	ADJ
ejpam-5712	297	7	body	body	NOUN
ejpam-5712	297	8	containing	contain	VERB
ejpam-5712	297	9	a	a	DET
ejpam-5712	297	10	viscous	viscous	ADJ
ejpam-5712	297	11	incompressible	incompressible	ADJ
ejpam-5712	297	12	fluid	fluid	NOUN
ejpam-5712	297	13	.	.	PUNCT
ejpam-5712	298	1	international	international	ADJ
ejpam-5712	298	2	journal	journal	PROPN
ejpam-5712	298	3	of	of	ADP
ejpam-5712	298	4	numerical	numerical	ADJ
ejpam-5712	298	5	methods	method	NOUN
ejpam-5712	298	6	for	for	ADP
ejpam-5712	298	7	heat	heat	NOUN
ejpam-5712	298	8	&	&	CCONJ
ejpam-5712	298	9	fluid	fluid	ADJ
ejpam-5712	298	10	flow	flow	NOUN
ejpam-5712	298	11	,	,	PUNCT
ejpam-5712	298	12	33(8):2800–2814	33(8):2800–2814	NUM
ejpam-5712	298	13	,	,	PUNCT
ejpam-5712	298	14	2023	2023	NUM
ejpam-5712	298	15	.	.	PUNCT
ejpam-5712	299	1	[	[	X
ejpam-5712	299	2	22	22	NUM
ejpam-5712	299	3	]	]	X
ejpam-5712	299	4	abdelaziz	abdelaziz	PROPN
ejpam-5712	300	1	i	i	PRON
ejpam-5712	300	2	ismail	ismail	PROPN
ejpam-5712	300	3	,	,	PUNCT
ejpam-5712	300	4	tarek	tarek	PROPN
ejpam-5712	300	5	s	s	PART
ejpam-5712	300	6	amer	amer	PROPN
ejpam-5712	300	7	,	,	PUNCT
ejpam-5712	300	8	and	and	CCONJ
ejpam-5712	300	9	wael	wael	PROPN
ejpam-5712	300	10	s	s	PROPN
ejpam-5712	301	1	amer	amer	PROPN
ejpam-5712	301	2	.	.	PUNCT
ejpam-5712	302	1	advanced	advanced	ADJ
ejpam-5712	302	2	investigations	investigation	NOUN
ejpam-5712	302	3	of	of	ADP
ejpam-5712	302	4	a	a	DET
ejpam-5712	302	5	restricted	restrict	VERB
ejpam-5712	302	6	gyrostatic	gyrostatic	ADJ
ejpam-5712	302	7	motion	motion	NOUN
ejpam-5712	302	8	.	.	PUNCT
ejpam-5712	303	1	journal	journal	NOUN
ejpam-5712	303	2	of	of	ADP
ejpam-5712	303	3	low	low	ADJ
ejpam-5712	303	4	frequency	frequency	NOUN
ejpam-5712	303	5	noise	noise	NOUN
ejpam-5712	303	6	,	,	PUNCT
ejpam-5712	303	7	vibration	vibration	NOUN
ejpam-5712	303	8	and	and	CCONJ
ejpam-5712	303	9	active	active	ADJ
ejpam-5712	303	10	control	control	NOUN
ejpam-5712	303	11	,	,	PUNCT
ejpam-5712	303	12	42(3):1205–1221	42(3):1205–1221	PROPN
ejpam-5712	303	13	,	,	PUNCT
ejpam-5712	303	14	2023	2023	NUM
ejpam-5712	303	15	.	.	PUNCT
ejpam-5712	304	1	[	[	X
ejpam-5712	304	2	23	23	NUM
ejpam-5712	304	3	]	]	X
ejpam-5712	304	4	abdelaziz	abdelaziz	PROPN
ejpam-5712	304	5	i	i	PRON
ejpam-5712	304	6	ismail	ismail	VERB
ejpam-5712	304	7	and	and	CCONJ
ejpam-5712	304	8	ts	ts	ADP
ejpam-5712	304	9	amer	amer	PROPN
ejpam-5712	304	10	.	.	PUNCT
ejpam-5712	305	1	the	the	DET
ejpam-5712	305	2	fast	fast	ADJ
ejpam-5712	305	3	spinning	spinning	NOUN
ejpam-5712	305	4	motion	motion	NOUN
ejpam-5712	305	5	of	of	ADP
ejpam-5712	305	6	a	a	DET
ejpam-5712	305	7	rigid	rigid	ADJ
ejpam-5712	305	8	body	body	NOUN
ejpam-5712	305	9	in	in	ADP
ejpam-5712	305	10	the	the	DET
ejpam-5712	305	11	presence	presence	NOUN
ejpam-5712	305	12	of	of	ADP
ejpam-5712	305	13	a	a	DET
ejpam-5712	305	14	gyrostatic	gyrostatic	ADJ
ejpam-5712	305	15	momentum	momentum	NOUN
ejpam-5712	305	16	ℓ3	ℓ3	PROPN
ejpam-5712	305	17	.	.	PUNCT
ejpam-5712	306	1	acta	acta	PROPN
ejpam-5712	306	2	mechanica	mechanica	PROPN
ejpam-5712	306	3	,	,	PUNCT
ejpam-5712	306	4	154(1):31–46	154(1):31–46	NUM
ejpam-5712	306	5	,	,	PUNCT
ejpam-5712	306	6	2002	2002	NUM
ejpam-5712	306	7	.	.	PUNCT
ejpam-5712	307	1	[	[	X
ejpam-5712	307	2	24	24	NUM
ejpam-5712	307	3	]	]	X
ejpam-5712	307	4	ai	ai	VERB
ejpam-5712	307	5	ismail	ismail	PROPN
ejpam-5712	307	6	and	and	CCONJ
ejpam-5712	307	7	tarek	tarek	PROPN
ejpam-5712	307	8	s	s	PART
ejpam-5712	307	9	amer	amer	PROPN
ejpam-5712	307	10	.	.	PUNCT
ejpam-5712	308	1	a	a	DET
ejpam-5712	308	2	necessary	necessary	ADJ
ejpam-5712	308	3	and	and	CCONJ
ejpam-5712	308	4	sufficient	sufficient	ADJ
ejpam-5712	308	5	condition	condition	NOUN
ejpam-5712	308	6	for	for	ADP
ejpam-5712	308	7	solving	solve	VERB
ejpam-5712	308	8	a	a	DET
ejpam-5712	308	9	rigid	rigid	ADJ
ejpam-5712	308	10	body	body	NOUN
ejpam-5712	308	11	problem	problem	NOUN
ejpam-5712	308	12	.	.	PUNCT
ejpam-5712	309	1	technische	technische	PROPN
ejpam-5712	309	2	mechanik	mechanik	PROPN
ejpam-5712	309	3	-	-	ADJ
ejpam-5712	309	4	european	european	ADJ
ejpam-5712	309	5	journal	journal	NOUN
ejpam-5712	309	6	of	of	ADP
ejpam-5712	309	7	engineering	engineering	NOUN
ejpam-5712	309	8	mechanics	mechanic	NOUN
ejpam-5712	309	9	,	,	PUNCT
ejpam-5712	309	10	31(1):50–57	31(1):50–57	NUM
ejpam-5712	309	11	,	,	PUNCT
ejpam-5712	309	12	2011	2011	NUM
ejpam-5712	309	13	.	.	PUNCT
ejpam-5712	310	1	[	[	X
ejpam-5712	310	2	25	25	NUM
ejpam-5712	310	3	]	]	PUNCT
ejpam-5712	310	4	ea	ea	X
ejpam-5712	310	5	ivanova	ivanova	PROPN
ejpam-5712	310	6	.	.	PUNCT
ejpam-5712	311	1	a	a	DET
ejpam-5712	311	2	new	new	ADJ
ejpam-5712	311	3	approach	approach	NOUN
ejpam-5712	311	4	to	to	ADP
ejpam-5712	311	5	the	the	DET
ejpam-5712	311	6	solution	solution	NOUN
ejpam-5712	311	7	of	of	ADP
ejpam-5712	311	8	some	some	DET
ejpam-5712	311	9	problems	problem	NOUN
ejpam-5712	311	10	of	of	ADP
ejpam-5712	311	11	rigid	rigid	ADJ
ejpam-5712	311	12	body	body	NOUN
ejpam-5712	311	13	dynamics	dynamic	NOUN
ejpam-5712	311	14	.	.	PUNCT
ejpam-5712	312	1	zamm	zamm	PROPN
ejpam-5712	312	2	-	-	PUNCT
ejpam-5712	312	3	journal	journal	PROPN
ejpam-5712	312	4	of	of	ADP
ejpam-5712	312	5	applied	apply	VERB
ejpam-5712	312	6	mathematics	mathematic	NOUN
ejpam-5712	312	7	and	and	CCONJ
ejpam-5712	312	8	mechanics	mechanic	NOUN
ejpam-5712	312	9	/	/	SYM
ejpam-5712	312	10	zeitschrift	zeitschrift	NOUN
ejpam-5712	312	11	für	für	PROPN
ejpam-5712	312	12	angewandte	angewandte	PROPN
ejpam-5712	312	13	mathematik	mathematik	PROPN
ejpam-5712	312	14	und	und	PROPN
ejpam-5712	312	15	mechanik	mechanik	PROPN
ejpam-5712	312	16	:	:	PUNCT
ejpam-5712	312	17	applied	apply	VERB
ejpam-5712	312	18	mathematics	mathematic	NOUN
ejpam-5712	312	19	and	and	CCONJ
ejpam-5712	312	20	mechanics	mechanic	NOUN
ejpam-5712	312	21	,	,	PUNCT
ejpam-5712	312	22	81(9):613	81(9):613	PROPN
ejpam-5712	312	23	–	–	PUNCT
ejpam-5712	312	24	622	622	NUM
ejpam-5712	312	25	,	,	PUNCT
ejpam-5712	312	26	2001	2001	NUM
ejpam-5712	312	27	.	.	PUNCT
ejpam-5712	313	1	[	[	X
ejpam-5712	313	2	26	26	NUM
ejpam-5712	313	3	]	]	X
ejpam-5712	313	4	derek	derek	PROPN
ejpam-5712	313	5	f	f	PROPN
ejpam-5712	313	6	lawden	lawden	PROPN
ejpam-5712	313	7	.	.	PUNCT
ejpam-5712	314	1	elliptic	elliptic	ADJ
ejpam-5712	314	2	functions	function	NOUN
ejpam-5712	314	3	and	and	CCONJ
ejpam-5712	314	4	applications	application	NOUN
ejpam-5712	314	5	,	,	PUNCT
ejpam-5712	314	6	volume	volume	NOUN
ejpam-5712	314	7	80	80	NUM
ejpam-5712	314	8	.	.	PUNCT
ejpam-5712	314	9	1989	1989	NUM
ejpam-5712	314	10	.	.	PUNCT
ejpam-5712	315	1	[	[	X
ejpam-5712	315	2	27	27	NUM
ejpam-5712	315	3	]	]	X
ejpam-5712	315	4	d	d	X
ejpam-5712	315	5	lechehenko	lechehenko	PROPN
ejpam-5712	315	6	and	and	CCONJ
ejpam-5712	315	7	t	t	PROPN
ejpam-5712	315	8	kozachenko	kozachenko	NOUN
ejpam-5712	315	9	.	.	PUNCT
ejpam-5712	316	1	evolution	evolution	NOUN
ejpam-5712	316	2	of	of	ADP
ejpam-5712	316	3	rotational	rotational	ADJ
ejpam-5712	316	4	motions	motion	NOUN
ejpam-5712	316	5	in	in	ADP
ejpam-5712	316	6	a	a	DET
ejpam-5712	316	7	resistive	resistive	ADJ
ejpam-5712	316	8	medium	medium	NOUN
ejpam-5712	316	9	of	of	ADP
ejpam-5712	316	10	a	a	DET
ejpam-5712	316	11	nearly	nearly	ADV
ejpam-5712	316	12	dynamically	dynamically	ADV
ejpam-5712	316	13	spherical	spherical	ADJ
ejpam-5712	316	14	gyrostat	gyrostat	NOUN
ejpam-5712	316	15	subjected	subject	VERB
ejpam-5712	316	16	to	to	ADP
ejpam-5712	316	17	constant	constant	ADJ
ejpam-5712	316	18	body	body	NOUN
ejpam-5712	316	19	-	-	PUNCT
ejpam-5712	316	20	fixed	fix	VERB
ejpam-5712	316	21	torques	torque	NOUN
ejpam-5712	316	22	.	.	PUNCT
ejpam-5712	316	23	2022	2022	NUM
ejpam-5712	316	24	.	.	PUNCT
ejpam-5712	317	1	[	[	X
ejpam-5712	317	2	28	28	NUM
ejpam-5712	317	3	]	]	X
ejpam-5712	317	4	eugene	eugene	NOUN
ejpam-5712	317	5	leimanis	leimanis	PROPN
ejpam-5712	317	6	.	.	PUNCT
ejpam-5712	318	1	the	the	DET
ejpam-5712	318	2	general	general	ADJ
ejpam-5712	318	3	problem	problem	NOUN
ejpam-5712	318	4	of	of	ADP
ejpam-5712	318	5	the	the	DET
ejpam-5712	318	6	motion	motion	NOUN
ejpam-5712	318	7	of	of	ADP
ejpam-5712	318	8	coupled	couple	VERB
ejpam-5712	318	9	rigid	rigid	ADJ
ejpam-5712	318	10	bodies	body	NOUN
ejpam-5712	318	11	about	about	ADP
ejpam-5712	318	12	a	a	DET
ejpam-5712	318	13	fixed	fix	VERB
ejpam-5712	318	14	point	point	NOUN
ejpam-5712	318	15	,	,	PUNCT
ejpam-5712	318	16	volume	volume	NOUN
ejpam-5712	318	17	7	7	NUM
ejpam-5712	318	18	.	.	PUNCT
ejpam-5712	318	19	springer	springer	NOUN
ejpam-5712	318	20	science	science	PROPN
ejpam-5712	318	21	&	&	CCONJ
ejpam-5712	318	22	business	business	NOUN
ejpam-5712	318	23	media	medium	NOUN
ejpam-5712	318	24	,	,	PUNCT
ejpam-5712	318	25	2013	2013	NUM
ejpam-5712	318	26	.	.	PUNCT
ejpam-5712	319	1	[	[	X
ejpam-5712	319	2	29	29	NUM
ejpam-5712	319	3	]	]	X
ejpam-5712	319	4	dd	dd	NOUN
ejpam-5712	319	5	leshchenko	leshchenko	NOUN
ejpam-5712	319	6	.	.	PUNCT
ejpam-5712	320	1	on	on	ADP
ejpam-5712	320	2	the	the	DET
ejpam-5712	320	3	evolution	evolution	NOUN
ejpam-5712	320	4	of	of	ADP
ejpam-5712	320	5	rigid	rigid	ADJ
ejpam-5712	320	6	-	-	PUNCT
ejpam-5712	320	7	body	body	NOUN
ejpam-5712	320	8	rotations	rotation	NOUN
ejpam-5712	320	9	.	.	PUNCT
ejpam-5712	321	1	international	international	ADJ
ejpam-5712	321	2	applied	apply	VERB
ejpam-5712	321	3	mechanics	mechanic	NOUN
ejpam-5712	321	4	,	,	PUNCT
ejpam-5712	321	5	35(1):93–99	35(1):93–99	NUM
ejpam-5712	321	6	,	,	PUNCT
ejpam-5712	321	7	1999	1999	NUM
ejpam-5712	321	8	.	.	PUNCT
ejpam-5712	322	1	[	[	X
ejpam-5712	322	2	30	30	NUM
ejpam-5712	322	3	]	]	X
ejpam-5712	322	4	dd	dd	NOUN
ejpam-5712	322	5	leshchenko	leshchenko	NOUN
ejpam-5712	322	6	and	and	CCONJ
ejpam-5712	322	7	sn	sn	PROPN
ejpam-5712	322	8	sallam	sallam	PROPN
ejpam-5712	322	9	.	.	PUNCT
ejpam-5712	323	1	perturbed	perturb	VERB
ejpam-5712	323	2	rotational	rotational	ADJ
ejpam-5712	323	3	motions	motion	NOUN
ejpam-5712	323	4	of	of	ADP
ejpam-5712	323	5	a	a	DET
ejpam-5712	323	6	rigid	rigid	ADJ
ejpam-5712	323	7	body	body	NOUN
ejpam-5712	323	8	similar	similar	ADJ
ejpam-5712	323	9	to	to	ADP
ejpam-5712	323	10	regular	regular	ADJ
ejpam-5712	323	11	precession	precession	NOUN
ejpam-5712	323	12	.	.	PUNCT
ejpam-5712	324	1	journal	journal	NOUN
ejpam-5712	324	2	of	of	ADP
ejpam-5712	324	3	applied	apply	VERB
ejpam-5712	324	4	mathematics	mathematic	NOUN
ejpam-5712	324	5	and	and	CCONJ
ejpam-5712	324	6	mechanics	mechanic	NOUN
ejpam-5712	324	7	,	,	PUNCT
ejpam-5712	324	8	54(2):183–190	54(2):183–190	NUM
ejpam-5712	324	9	,	,	PUNCT
ejpam-5712	324	10	1990	1990	NUM
ejpam-5712	324	11	.	.	PUNCT
ejpam-5712	325	1	[	[	X
ejpam-5712	325	2	31	31	NUM
ejpam-5712	325	3	]	]	PUNCT
ejpam-5712	325	4	dmytro	dmytro	PROPN
ejpam-5712	325	5	leshchenko	leshchenko	PROPN
ejpam-5712	325	6	,	,	PUNCT
ejpam-5712	325	7	sergey	sergey	PROPN
ejpam-5712	325	8	ershkov	ershkov	PROPN
ejpam-5712	325	9	,	,	PUNCT
ejpam-5712	325	10	and	and	CCONJ
ejpam-5712	325	11	tetiana	tetiana	PROPN
ejpam-5712	325	12	kozachenko	kozachenko	PROPN
ejpam-5712	325	13	.	.	PUNCT
ejpam-5712	326	1	evolution	evolution	NOUN
ejpam-5712	326	2	of	of	ADP
ejpam-5712	326	3	rotational	rotational	ADJ
ejpam-5712	326	4	motions	motion	NOUN
ejpam-5712	326	5	of	of	ADP
ejpam-5712	326	6	a	a	DET
ejpam-5712	326	7	nearly	nearly	ADV
ejpam-5712	326	8	dynamically	dynamically	ADV
ejpam-5712	326	9	spherical	spherical	ADJ
ejpam-5712	326	10	rigid	rigid	ADJ
ejpam-5712	326	11	body	body	NOUN
ejpam-5712	326	12	with	with	ADP
ejpam-5712	326	13	cavity	cavity	NOUN
ejpam-5712	326	14	containing	contain	VERB
ejpam-5712	326	15	a	a	DET
ejpam-5712	326	16	viscous	viscous	ADJ
ejpam-5712	326	17	fluid	fluid	NOUN
ejpam-5712	326	18	in	in	ADP
ejpam-5712	326	19	a	a	DET
ejpam-5712	326	20	resistive	resistive	ADJ
ejpam-5712	326	21	medium	medium	NOUN
ejpam-5712	326	22	.	.	PUNCT
ejpam-5712	327	1	international	international	ADJ
ejpam-5712	327	2	journal	journal	PROPN
ejpam-5712	327	3	of	of	ADP
ejpam-5712	327	4	non	non	ADJ
ejpam-5712	327	5	-	-	ADJ
ejpam-5712	327	6	linear	linear	ADJ
ejpam-5712	327	7	mechanics	mechanic	NOUN
ejpam-5712	327	8	,	,	PUNCT
ejpam-5712	327	9	142:103980	142:103980	NUM
ejpam-5712	327	10	,	,	PUNCT
ejpam-5712	327	11	2022	2022	NUM
ejpam-5712	327	12	.	.	PUNCT
ejpam-5712	328	1	[	[	X
ejpam-5712	328	2	32	32	NUM
ejpam-5712	328	3	]	]	PUNCT
ejpam-5712	328	4	dmytro	dmytro	PROPN
ejpam-5712	328	5	leshchenko	leshchenko	PROPN
ejpam-5712	328	6	,	,	PUNCT
ejpam-5712	328	7	sergey	sergey	PROPN
ejpam-5712	328	8	ershkov	ershkov	PROPN
ejpam-5712	328	9	,	,	PUNCT
ejpam-5712	328	10	and	and	CCONJ
ejpam-5712	328	11	tetiana	tetiana	PROPN
ejpam-5712	328	12	kozachenko	kozachenko	PROPN
ejpam-5712	328	13	.	.	PUNCT
ejpam-5712	329	1	perturbed	perturb	VERB
ejpam-5712	329	2	rotational	rotational	ADJ
ejpam-5712	329	3	t.	t.	PROPN
ejpam-5712	329	4	s.	s.	PROPN
ejpam-5712	329	5	amer	amer	PROPN
ejpam-5712	329	6	et	et	PROPN
ejpam-5712	329	7	al	al	PROPN
ejpam-5712	329	8	.	.	PUNCT
ejpam-5712	329	9	/	/	SYM
ejpam-5712	329	10	eur	eur	PROPN
ejpam-5712	329	11	.	.	PUNCT
ejpam-5712	330	1	j.	j.	PROPN
ejpam-5712	330	2	pure	pure	PROPN
ejpam-5712	330	3	appl	appl	PROPN
ejpam-5712	330	4	.	.	PROPN
ejpam-5712	330	5	math	math	PROPN
ejpam-5712	330	6	,	,	PUNCT
ejpam-5712	330	7	18	18	NUM
ejpam-5712	330	8	(	(	PUNCT
ejpam-5712	330	9	1	1	NUM
ejpam-5712	330	10	)	)	PUNCT
ejpam-5712	330	11	(	(	PUNCT
ejpam-5712	330	12	2025	2025	NUM
ejpam-5712	330	13	)	)	PUNCT
ejpam-5712	330	14	,	,	PUNCT
ejpam-5712	330	15	5712	5712	NUM
ejpam-5712	330	16	14	14	NUM
ejpam-5712	330	17	of	of	ADP
ejpam-5712	330	18	14	14	NUM
ejpam-5712	330	19	motions	motion	NOUN
ejpam-5712	330	20	of	of	ADP
ejpam-5712	330	21	a	a	DET
ejpam-5712	330	22	nearly	nearly	ADV
ejpam-5712	330	23	dynamically	dynamically	ADV
ejpam-5712	330	24	spherical	spherical	ADJ
ejpam-5712	330	25	rigid	rigid	ADJ
ejpam-5712	330	26	body	body	NOUN
ejpam-5712	330	27	with	with	ADP
ejpam-5712	330	28	cavity	cavity	NOUN
ejpam-5712	330	29	containing	contain	VERB
ejpam-5712	330	30	a	a	DET
ejpam-5712	330	31	viscous	viscous	ADJ
ejpam-5712	330	32	fluid	fluid	NOUN
ejpam-5712	330	33	subject	subject	NOUN
ejpam-5712	330	34	to	to	ADP
ejpam-5712	330	35	constant	constant	ADJ
ejpam-5712	330	36	body	body	NOUN
ejpam-5712	330	37	fixed	fix	VERB
ejpam-5712	330	38	torques	torque	NOUN
ejpam-5712	330	39	.	.	PUNCT
ejpam-5712	331	1	international	international	ADJ
ejpam-5712	331	2	journal	journal	PROPN
ejpam-5712	331	3	of	of	ADP
ejpam-5712	331	4	non	non	ADJ
ejpam-5712	331	5	-	-	ADJ
ejpam-5712	331	6	linear	linear	ADJ
ejpam-5712	331	7	mechanics	mechanic	NOUN
ejpam-5712	331	8	,	,	PUNCT
ejpam-5712	331	9	148:104284	148:104284	NUM
ejpam-5712	331	10	,	,	PUNCT
ejpam-5712	331	11	2023	2023	NUM
ejpam-5712	331	12	.	.	PUNCT
ejpam-5712	332	1	[	[	X
ejpam-5712	332	2	33	33	NUM
ejpam-5712	332	3	]	]	X
ejpam-5712	332	4	al	al	PROPN
ejpam-5712	332	5	rachinskaya	rachinskaya	PROPN
ejpam-5712	332	6	and	and	CCONJ
ejpam-5712	332	7	ea	ea	X
ejpam-5712	332	8	rumyantseva	rumyantseva	ADJ
ejpam-5712	332	9	.	.	PUNCT
ejpam-5712	333	1	optimal	optimal	ADJ
ejpam-5712	333	2	deceleration	deceleration	NOUN
ejpam-5712	333	3	of	of	ADP
ejpam-5712	333	4	a	a	DET
ejpam-5712	333	5	rotating	rotate	VERB
ejpam-5712	333	6	asymmetrical	asymmetrical	ADJ
ejpam-5712	333	7	body	body	NOUN
ejpam-5712	333	8	in	in	ADP
ejpam-5712	333	9	a	a	DET
ejpam-5712	333	10	resisting	resist	VERB
ejpam-5712	333	11	medium	medium	NOUN
ejpam-5712	333	12	.	.	PUNCT
ejpam-5712	334	1	international	international	ADJ
ejpam-5712	334	2	applied	apply	VERB
ejpam-5712	334	3	mechanics	mechanic	NOUN
ejpam-5712	334	4	,	,	PUNCT
ejpam-5712	334	5	54(6):710–717	54(6):710–717	NUM
ejpam-5712	334	6	,	,	PUNCT
ejpam-5712	334	7	2018	2018	NUM
ejpam-5712	334	8	.	.	PUNCT
ejpam-5712	335	1	[	[	X
ejpam-5712	335	2	34	34	NUM
ejpam-5712	335	3	]	]	X
ejpam-5712	335	4	hamad	hamad	PROPN
ejpam-5712	335	5	m	m	PROPN
ejpam-5712	335	6	yehia	yehia	PROPN
ejpam-5712	335	7	.	.	PUNCT
ejpam-5712	335	8	rigid	rigid	ADJ
ejpam-5712	335	9	body	body	NOUN
ejpam-5712	335	10	dynamics	dynamic	NOUN
ejpam-5712	335	11	.	.	PUNCT
ejpam-5712	336	1	springer	springer	NOUN
ejpam-5712	336	2	,	,	PUNCT
ejpam-5712	336	3	2022	2022	NUM
ejpam-5712	336	4	.	.	PUNCT