id	sid	tid	token	lemma	pos
bibechana-4046	1	1	microsoft	microsoft	PROPN
bibechana-4046	1	2	word	word	PROPN
bibechana-4046	1	3	m.r	m.r	PROPN
bibechana-4046	1	4	.	.	PROPN
bibechana-4046	1	5	hassan	hassan	PROPN
bibechana-4046	1	6	and	and	CCONJ
bibechana-4046	1	7	r.r	r.r	PROPN
bibechana-4046	1	8	.	.	PROPN
bibechana-4046	1	9	thapa	thapa	PROPN
bibechana-4046	2	1	_	_	PUNCT
bibechana-4046	2	2	54	54	NUM
bibechana-4046	2	3	-	-	SYM
bibechana-4046	2	4	60_.doc	60_.doc	NUM
bibechana-4046	2	5	m.r	m.r	PROPN
bibechana-4046	2	6	.	.	PROPN
bibechana-4046	2	7	hassan	hassan	PROPN
bibechana-4046	2	8	and	and	CCONJ
bibechana-4046	2	9	r.r	r.r	PROPN
bibechana-4046	2	10	.	.	PROPN
bibechana-4046	2	11	thapa	thapa	PROPN
bibechana-4046	2	12	/	/	SYM
bibechana-4046	2	13	bibechana	bibechana	PROPN
bibechana-4046	2	14	7	7	NUM
bibechana-4046	2	15	(	(	PUNCT
bibechana-4046	2	16	2011	2011	NUM
bibechana-4046	2	17	)	)	PUNCT
bibechana-4046	2	18	54	54	NUM
bibechana-4046	2	19	-	-	SYM
bibechana-4046	2	20	60	60	NUM
bibechana-4046	2	21	:	:	PUNCT
bibechana-4046	2	22	bmhss	bmhss	PROPN
bibechana-4046	2	23	54	54	NUM
bibechana-4046	2	24	bibechana	bibechana	NOUN
bibechana-4046	2	25	a	a	DET
bibechana-4046	2	26	multidisciplinary	multidisciplinary	ADJ
bibechana-4046	2	27	journal	journal	NOUN
bibechana-4046	2	28	of	of	ADP
bibechana-4046	2	29	science	science	NOUN
bibechana-4046	2	30	,	,	PUNCT
bibechana-4046	2	31	technology	technology	NOUN
bibechana-4046	2	32	and	and	CCONJ
bibechana-4046	2	33	mathematics	mathematic	NOUN
bibechana-4046	2	34	issn	issn	VERB
bibechana-4046	2	35	2091	2091	NUM
bibechana-4046	2	36	-	-	SYM
bibechana-4046	2	37	0762	0762	NUM
bibechana-4046	2	38	(	(	PUNCT
bibechana-4046	2	39	online	online	ADJ
bibechana-4046	2	40	)	)	PUNCT
bibechana-4046	2	41	journal	journal	NOUN
bibechana-4046	2	42	homepage	homepage	NOUN
bibechana-4046	2	43	:	:	PUNCT
bibechana-4046	2	44	http://nepjol.info/index.php/bibichana	http://nepjol.info/index.php/bibichana	NOUN
bibechana-4046	2	45	applications	application	NOUN
bibechana-4046	2	46	of	of	ADP
bibechana-4046	2	47	ks	ks	PROPN
bibechana-4046	2	48	–	–	PUNCT
bibechana-4046	2	49	variables	variable	NOUN
bibechana-4046	2	50	in	in	ADP
bibechana-4046	2	51	celestial	celestial	ADJ
bibechana-4046	2	52	mechanics	mechanic	NOUN
bibechana-4046	3	1	m.r	m.r	PROPN
bibechana-4046	3	2	.	.	PROPN
bibechana-4046	3	3	hassana	hassana	PROPN
bibechana-4046	3	4	,	,	PUNCT
bibechana-4046	3	5	r.r	r.r	PROPN
bibechana-4046	3	6	.	.	PROPN
bibechana-4046	3	7	thapab	thapab	PROPN
bibechana-4046	3	8	∗∗∗∗	∗∗∗∗	ADP
bibechana-4046	3	9	a	a	DET
bibechana-4046	3	10	dept	dept	NOUN
bibechana-4046	3	11	.	.	PROPN
bibechana-4046	3	12	of	of	ADP
bibechana-4046	3	13	mathematics	mathematics	PROPN
bibechana-4046	3	14	,	,	PUNCT
bibechana-4046	3	15	s.m	s.m	PROPN
bibechana-4046	3	16	.	.	PROPN
bibechana-4046	3	17	college	college	PROPN
bibechana-4046	3	18	,	,	PUNCT
bibechana-4046	3	19	bhagalpur	bhagalpur	PROPN
bibechana-4046	3	20	,	,	PUNCT
bibechana-4046	3	21	india	india	PROPN
bibechana-4046	3	22	b	b	PROPN
bibechana-4046	3	23	dept	dept	PROPN
bibechana-4046	3	24	.	.	PROPN
bibechana-4046	3	25	of	of	ADP
bibechana-4046	3	26	mathematics	mathematics	PROPN
bibechana-4046	3	27	,	,	PUNCT
bibechana-4046	3	28	p.g	p.g	PROPN
bibechana-4046	3	29	.	.	PROPN
bibechana-4046	3	30	college	college	PROPN
bibechana-4046	3	31	,	,	PUNCT
bibechana-4046	3	32	biratnagar	biratnagar	NOUN
bibechana-4046	3	33	,	,	PUNCT
bibechana-4046	3	34	morang	morang	PROPN
bibechana-4046	3	35	,	,	PUNCT
bibechana-4046	3	36	nepal	nepal	ADJ
bibechana-4046	3	37	article	article	NOUN
bibechana-4046	3	38	history	history	NOUN
bibechana-4046	3	39	:	:	PUNCT
bibechana-4046	3	40	received	receive	VERB
bibechana-4046	3	41	5	5	NUM
bibechana-4046	3	42	september	september	PROPN
bibechana-4046	3	43	2010	2010	NUM
bibechana-4046	3	44	;	;	PUNCT
bibechana-4046	3	45	revised	revise	VERB
bibechana-4046	3	46	18	18	NUM
bibechana-4046	3	47	november	november	PROPN
bibechana-4046	3	48	2010	2010	NUM
bibechana-4046	3	49	;	;	PUNCT
bibechana-4046	3	50	accepted	accept	VERB
bibechana-4046	3	51	29	29	NUM
bibechana-4046	3	52	november	november	PROPN
bibechana-4046	3	53	2010	2010	NUM
bibechana-4046	3	54	abstract	abstract	ADV
bibechana-4046	3	55	this	this	DET
bibechana-4046	3	56	paper	paper	NOUN
bibechana-4046	3	57	deals	deal	NOUN
bibechana-4046	3	58	with	with	ADP
bibechana-4046	3	59	the	the	DET
bibechana-4046	3	60	transformation	transformation	NOUN
bibechana-4046	3	61	of	of	ADP
bibechana-4046	3	62	ks	k	NOUN
bibechana-4046	3	63	-	-	NOUN
bibechana-4046	3	64	variables	variable	NOUN
bibechana-4046	3	65	and	and	CCONJ
bibechana-4046	3	66	canonically	canonically	ADV
bibechana-4046	3	67	conjugate	conjugate	ADJ
bibechana-4046	3	68	variables	variable	NOUN
bibechana-4046	3	69	from	from	ADP
bibechana-4046	3	70	sideral	sideral	ADJ
bibechana-4046	3	71	(	(	PUNCT
bibechana-4046	3	72	inertial	inertial	NOUN
bibechana-4046	3	73	)	)	PUNCT
bibechana-4046	3	74	to	to	ADP
bibechana-4046	3	75	synodic	synodic	ADJ
bibechana-4046	3	76	(	(	PUNCT
bibechana-4046	3	77	rotating	rotating	NOUN
bibechana-4046	3	78	)	)	PUNCT
bibechana-4046	3	79	form	form	NOUN
bibechana-4046	3	80	and	and	CCONJ
bibechana-4046	3	81	their	their	PRON
bibechana-4046	3	82	applications	application	NOUN
bibechana-4046	3	83	in	in	ADP
bibechana-4046	3	84	“	"	PUNCT
bibechana-4046	3	85	the	the	DET
bibechana-4046	3	86	circular	circular	ADJ
bibechana-4046	3	87	restricted	restricted	ADJ
bibechana-4046	3	88	problem	problem	NOUN
bibechana-4046	3	89	of	of	ADP
bibechana-4046	3	90	three	three	NUM
bibechana-4046	3	91	bodies	body	NOUN
bibechana-4046	3	92	in	in	ADP
bibechana-4046	3	93	three	three	NUM
bibechana-4046	3	94	-	-	PUNCT
bibechana-4046	3	95	dimensional	dimensional	ADJ
bibechana-4046	3	96	coordinate	coordinate	NOUN
bibechana-4046	3	97	system	system	NOUN
bibechana-4046	3	98	”	"	PUNCT
bibechana-4046	3	99	to	to	PART
bibechana-4046	3	100	form	form	VERB
bibechana-4046	3	101	generating	generate	VERB
bibechana-4046	3	102	solutions	solution	NOUN
bibechana-4046	3	103	.	.	PUNCT
bibechana-4046	4	1	keywords	keyword	NOUN
bibechana-4046	4	2	:	:	PUNCT
bibechana-4046	4	3	ks	ks	NOUN
bibechana-4046	4	4	–	–	PUNCT
bibechana-4046	4	5	transformation	transformation	NOUN
bibechana-4046	4	6	;	;	PUNCT
bibechana-4046	4	7	ks	ks	PROPN
bibechana-4046	4	8	–	–	PUNCT
bibechana-4046	4	9	variables	variable	NOUN
bibechana-4046	4	10	;	;	PUNCT
bibechana-4046	4	11	orbital	orbital	ADJ
bibechana-4046	4	12	elements	element	NOUN
bibechana-4046	4	13	;	;	PUNCT
bibechana-4046	4	14	generating	generate	VERB
bibechana-4046	4	15	solutions	solution	NOUN
bibechana-4046	4	16	1	1	NUM
bibechana-4046	4	17	.	.	PUNCT
bibechana-4046	5	1	introduction	introduction	NOUN
bibechana-4046	5	2	kustannheimo	kustannheimo	PROPN
bibechana-4046	5	3	and	and	CCONJ
bibechana-4046	5	4	steifel	steifel	VERB
bibechana-4046	5	5	[	[	X
bibechana-4046	5	6	1	1	NUM
bibechana-4046	5	7	]	]	PUNCT
bibechana-4046	5	8	presented	present	VERB
bibechana-4046	5	9	a	a	DET
bibechana-4046	5	10	very	very	ADV
bibechana-4046	5	11	convenient	convenient	ADJ
bibechana-4046	5	12	regularization	regularization	NOUN
bibechana-4046	5	13	method	method	NOUN
bibechana-4046	5	14	for	for	ADP
bibechana-4046	5	15	the	the	DET
bibechana-4046	5	16	space	space	NOUN
bibechana-4046	5	17	motion	motion	NOUN
bibechana-4046	5	18	of	of	ADP
bibechana-4046	5	19	particles	particle	NOUN
bibechana-4046	5	20	near	near	ADP
bibechana-4046	5	21	an	an	DET
bibechana-4046	5	22	attracting	attract	VERB
bibechana-4046	5	23	centre	centre	NOUN
bibechana-4046	5	24	.	.	PUNCT
bibechana-4046	6	1	this	this	DET
bibechana-4046	6	2	mechanism	mechanism	NOUN
bibechana-4046	6	3	leads	lead	VERB
bibechana-4046	6	4	to	to	ADP
bibechana-4046	6	5	a	a	DET
bibechana-4046	6	6	transformation	transformation	NOUN
bibechana-4046	6	7	,	,	PUNCT
bibechana-4046	6	8	called	call	VERB
bibechana-4046	6	9	ks	ks	PROPN
bibechana-4046	6	10	–	–	PUNCT
bibechana-4046	6	11	transformation	transformation	NOUN
bibechana-4046	6	12	.	.	PUNCT
bibechana-4046	7	1	the	the	DET
bibechana-4046	7	2	transformation	transformation	NOUN
bibechana-4046	7	3	is	be	AUX
bibechana-4046	7	4	of	of	ADP
bibechana-4046	7	5	the	the	DET
bibechana-4046	7	6	type	type	NOUN
bibechana-4046	7	7	xk	xk	PROPN
bibechana-4046	7	8	=	=	PROPN
bibechana-4046	7	9	xk	xk	PROPN
bibechana-4046	7	10	(	(	PUNCT
bibechana-4046	7	11	uj	uj	PROPN
bibechana-4046	7	12	)	)	PUNCT
bibechana-4046	7	13	,	,	PUNCT
bibechana-4046	7	14	(	(	PUNCT
bibechana-4046	7	15	k	k	NOUN
bibechana-4046	7	16	=	=	SYM
bibechana-4046	7	17	1	1	NUM
bibechana-4046	7	18	,	,	PUNCT
bibechana-4046	7	19	2	2	NUM
bibechana-4046	7	20	,	,	PUNCT
bibechana-4046	7	21	…	…	PUNCT
bibechana-4046	7	22	……	……	X
bibechana-4046	7	23	n	n	CCONJ
bibechana-4046	7	24	)	)	PUNCT
bibechana-4046	7	25	,	,	PUNCT
bibechana-4046	7	26	(	(	PUNCT
bibechana-4046	7	27	j	j	NOUN
bibechana-4046	7	28	=	=	SYM
bibechana-4046	7	29	1	1	NUM
bibechana-4046	7	30	,	,	PUNCT
bibechana-4046	7	31	2	2	NUM
bibechana-4046	7	32	,	,	PUNCT
bibechana-4046	7	33	3	3	NUM
bibechana-4046	7	34	,	,	PUNCT
bibechana-4046	7	35	…	…	PUNCT
bibechana-4046	7	36	…	…	PUNCT
bibechana-4046	7	37	..	..	PUNCT
bibechana-4046	7	38	,	,	PUNCT
bibechana-4046	7	39	n	n	PROPN
bibechana-4046	7	40	+	+	NUM
bibechana-4046	7	41	1	1	NUM
bibechana-4046	7	42	)	)	PUNCT
bibechana-4046	7	43	which	which	PRON
bibechana-4046	7	44	increases	increase	VERB
bibechana-4046	7	45	the	the	DET
bibechana-4046	7	46	number	number	NOUN
bibechana-4046	7	47	of	of	ADP
bibechana-4046	7	48	variables	variable	NOUN
bibechana-4046	7	49	.	.	PUNCT
bibechana-4046	8	1	in	in	ADP
bibechana-4046	8	2	this	this	DET
bibechana-4046	8	3	regard	regard	NOUN
bibechana-4046	8	4	schiefle	schiefle	NOUN
bibechana-4046	8	5	[	[	X
bibechana-4046	8	6	2	2	X
bibechana-4046	8	7	]	]	PUNCT
bibechana-4046	8	8	and	and	CCONJ
bibechana-4046	8	9	steifel	steifel	NOUN
bibechana-4046	8	10	and	and	CCONJ
bibechana-4046	8	11	schiefle	schiefle	VERB
bibechana-4046	8	12	[	[	X
bibechana-4046	8	13	3	3	X
bibechana-4046	8	14	]	]	PUNCT
bibechana-4046	8	15	have	have	AUX
bibechana-4046	8	16	considered	consider	VERB
bibechana-4046	8	17	the	the	PRON
bibechana-4046	8	18	so	so	ADV
bibechana-4046	8	19	–	–	PUNCT
bibechana-4046	8	20	called	call	VERB
bibechana-4046	8	21	generalized	generalized	ADJ
bibechana-4046	8	22	canonical	canonical	ADJ
bibechana-4046	8	23	transformation	transformation	NOUN
bibechana-4046	8	24	increasing	increase	VERB
bibechana-4046	8	25	the	the	DET
bibechana-4046	8	26	number	number	NOUN
bibechana-4046	8	27	of	of	ADP
bibechana-4046	8	28	variables	variable	NOUN
bibechana-4046	8	29	.	.	PUNCT
bibechana-4046	9	1	as	as	ADP
bibechana-4046	9	2	in	in	ADP
bibechana-4046	9	3	physical	physical	ADJ
bibechana-4046	9	4	space	space	NOUN
bibechana-4046	9	5	,	,	PUNCT
bibechana-4046	9	6	ks	ks	NOUN
bibechana-4046	9	7	–	–	PUNCT
bibechana-4046	9	8	regularization	regularization	NOUN
bibechana-4046	9	9	is	be	AUX
bibechana-4046	9	10	the	the	DET
bibechana-4046	9	11	most	most	ADV
bibechana-4046	9	12	perfect	perfect	ADJ
bibechana-4046	9	13	regularization	regularization	NOUN
bibechana-4046	9	14	,	,	PUNCT
bibechana-4046	9	15	so	so	ADV
bibechana-4046	9	16	to	to	PART
bibechana-4046	9	17	solve	solve	VERB
bibechana-4046	9	18	all	all	DET
bibechana-4046	9	19	the	the	DET
bibechana-4046	9	20	problems	problem	NOUN
bibechana-4046	9	21	easily	easily	ADV
bibechana-4046	9	22	of	of	ADP
bibechana-4046	9	23	three	three	NUM
bibechana-4046	9	24	dimensional	dimensional	ADJ
bibechana-4046	9	25	synodic	synodic	ADJ
bibechana-4046	9	26	coordinate	coordinate	NOUN
bibechana-4046	9	27	system	system	NOUN
bibechana-4046	9	28	by	by	ADP
bibechana-4046	9	29	ks	ks	PROPN
bibechana-4046	9	30	–	–	PUNCT
bibechana-4046	9	31	variables	variable	NOUN
bibechana-4046	9	32	;	;	PUNCT
bibechana-4046	9	33	it	it	PRON
bibechana-4046	9	34	is	be	AUX
bibechana-4046	9	35	necessary	necessary	ADJ
bibechana-4046	9	36	to	to	PART
bibechana-4046	9	37	transform	transform	VERB
bibechana-4046	9	38	the	the	DET
bibechana-4046	9	39	ks	ks	NOUN
bibechana-4046	9	40	–	–	PUNCT
bibechana-4046	9	41	variables	variable	NOUN
bibechana-4046	9	42	from	from	ADP
bibechana-4046	9	43	sidereal	sidereal	NOUN
bibechana-4046	9	44	to	to	ADP
bibechana-4046	9	45	synodic	synodic	ADJ
bibechana-4046	9	46	form	form	NOUN
bibechana-4046	9	47	.	.	PUNCT
bibechana-4046	10	1	in	in	ADP
bibechana-4046	10	2	this	this	DET
bibechana-4046	10	3	paper	paper	NOUN
bibechana-4046	10	4	,	,	PUNCT
bibechana-4046	10	5	we	we	PRON
bibechana-4046	10	6	attempted	attempt	VERB
bibechana-4046	10	7	to	to	PART
bibechana-4046	10	8	present	present	VERB
bibechana-4046	10	9	the	the	DET
bibechana-4046	10	10	ks	ks	NOUN
bibechana-4046	10	11	–	–	PUNCT
bibechana-4046	10	12	variables	variable	NOUN
bibechana-4046	10	13	in	in	ADP
bibechana-4046	10	14	synodic	synodic	ADJ
bibechana-4046	10	15	form	form	NOUN
bibechana-4046	10	16	and	and	CCONJ
bibechana-4046	10	17	their	their	PRON
bibechana-4046	10	18	simple	simple	ADJ
bibechana-4046	10	19	application	application	NOUN
bibechana-4046	10	20	to	to	ADP
bibechana-4046	10	21	the	the	DET
bibechana-4046	10	22	motion	motion	NOUN
bibechana-4046	10	23	of	of	ADP
bibechana-4046	10	24	an	an	DET
bibechana-4046	10	25	infinitesimal	infinitesimal	ADJ
bibechana-4046	10	26	mass	mass	NOUN
bibechana-4046	10	27	in	in	ADP
bibechana-4046	10	28	the	the	DET
bibechana-4046	10	29	restricted	restricted	ADJ
bibechana-4046	10	30	problem	problem	NOUN
bibechana-4046	10	31	of	of	ADP
bibechana-4046	10	32	the	the	DET
bibechana-4046	10	33	three	three	NUM
bibechana-4046	10	34	bodies	body	NOUN
bibechana-4046	10	35	in	in	ADP
bibechana-4046	10	36	three	three	NUM
bibechana-4046	10	37	dimensional	dimensional	ADJ
bibechana-4046	10	38	synodic	synodic	ADJ
bibechana-4046	10	39	coordinate	coordinate	NOUN
bibechana-4046	10	40	system	system	NOUN
bibechana-4046	10	41	have	have	AUX
bibechana-4046	10	42	been	be	AUX
bibechana-4046	10	43	shown	show	VERB
bibechana-4046	10	44	.	.	PUNCT
bibechana-4046	11	1	in	in	ADP
bibechana-4046	11	2	earlier	early	ADJ
bibechana-4046	11	3	sections	section	NOUN
bibechana-4046	11	4	we	we	PRON
bibechana-4046	11	5	just	just	ADV
bibechana-4046	11	6	presented	present	VERB
bibechana-4046	11	7	some	some	DET
bibechana-4046	11	8	important	important	ADJ
bibechana-4046	11	9	tools	tool	NOUN
bibechana-4046	11	10	of	of	ADP
bibechana-4046	11	11	ks	ks	NOUN
bibechana-4046	11	12	–	–	PUNCT
bibechana-4046	11	13	transformations	transformation	NOUN
bibechana-4046	11	14	in	in	ADP
bibechana-4046	11	15	terms	term	NOUN
bibechana-4046	11	16	of	of	ADP
bibechana-4046	11	17	orbital	orbital	ADJ
bibechana-4046	11	18	elements	element	NOUN
bibechana-4046	11	19	i	i	PRON
bibechana-4046	11	20	,	,	PUNCT
bibechana-4046	11	21	σω,,ω	σω,,ω	PROPN
bibechana-4046	11	22	,	,	PUNCT
bibechana-4046	11	23	t	t	PROPN
bibechana-4046	11	24	etc	etc	X
bibechana-4046	11	25	.	.	X
bibechana-4046	11	26	in	in	ADP
bibechana-4046	11	27	synodic	synodic	ADJ
bibechana-4046	11	28	coordinate	coordinate	NOUN
bibechana-4046	11	29	system	system	NOUN
bibechana-4046	11	30	.	.	PUNCT
bibechana-4046	12	1	some	some	DET
bibechana-4046	12	2	related	related	ADJ
bibechana-4046	12	3	and	and	CCONJ
bibechana-4046	12	4	conjugate	conjugate	ADJ
bibechana-4046	12	5	variables	variable	NOUN
bibechana-4046	12	6	are	be	AUX
bibechana-4046	12	7	also	also	ADV
bibechana-4046	12	8	presented	present	VERB
bibechana-4046	12	9	here	here	ADV
bibechana-4046	12	10	in	in	ADP
bibechana-4046	12	11	these	these	DET
bibechana-4046	12	12	sections	section	NOUN
bibechana-4046	12	13	.	.	PUNCT
bibechana-4046	13	1	in	in	ADP
bibechana-4046	13	2	later	later	ADJ
bibechana-4046	13	3	section	section	NOUN
bibechana-4046	13	4	,	,	PUNCT
bibechana-4046	13	5	the	the	DET
bibechana-4046	13	6	synodic	synodic	ADJ
bibechana-4046	13	7	ks	ks	PROPN
bibechana-4046	13	8	–	–	PUNCT
bibechana-4046	13	9	variables	variable	NOUN
bibechana-4046	13	10	are	be	AUX
bibechana-4046	13	11	used	use	VERB
bibechana-4046	13	12	to	to	PART
bibechana-4046	13	13	solve	solve	VERB
bibechana-4046	13	14	the	the	DET
bibechana-4046	13	15	equations	equation	NOUN
bibechana-4046	13	16	of	of	ADP
bibechana-4046	13	17	motion	motion	NOUN
bibechana-4046	13	18	of	of	ADP
bibechana-4046	13	19	infinitesimal	infinitesimal	ADJ
bibechana-4046	13	20	mass	mass	NOUN
bibechana-4046	13	21	in	in	ADP
bibechana-4046	13	22	the	the	DET
bibechana-4046	13	23	circular	circular	NOUN
bibechana-4046	13	24	restricted	restrict	VERB
bibechana-4046	13	25	three	three	NUM
bibechana-4046	13	26	–	–	PUNCT
bibechana-4046	13	27	body	body	NOUN
bibechana-4046	13	28	problem	problem	NOUN
bibechana-4046	13	29	in	in	ADP
bibechana-4046	13	30	three	three	NUM
bibechana-4046	13	31	dimensional	dimensional	ADJ
bibechana-4046	13	32	synodic	synodic	ADJ
bibechana-4046	13	33	coordinate	coordinate	NOUN
bibechana-4046	13	34	system	system	NOUN
bibechana-4046	13	35	in	in	ADP
bibechana-4046	13	36	the	the	DET
bibechana-4046	13	37	form	form	NOUN
bibechana-4046	13	38	of	of	ADP
bibechana-4046	13	39	generating	generate	VERB
bibechana-4046	13	40	solutions	solution	NOUN
bibechana-4046	13	41	.	.	PUNCT
bibechana-4046	14	1	the	the	DET
bibechana-4046	14	2	symbols	symbol	NOUN
bibechana-4046	14	3	used	use	VERB
bibechana-4046	14	4	are	be	AUX
bibechana-4046	14	5	as	as	SCONJ
bibechana-4046	14	6	follows	follow	VERB
bibechana-4046	14	7	:	:	PUNCT
bibechana-4046	15	1	i	i	NOUN
bibechana-4046	15	2	=	=	VERB
bibechana-4046	15	3	inclination	inclination	NOUN
bibechana-4046	15	4	of	of	ADP
bibechana-4046	15	5	the	the	DET
bibechana-4046	15	6	orbital	orbital	ADJ
bibechana-4046	15	7	plane	plane	NOUN
bibechana-4046	15	8	with	with	ADP
bibechana-4046	15	9	the	the	DET
bibechana-4046	15	10	plane	plane	NOUN
bibechana-4046	15	11	of	of	ADP
bibechana-4046	15	12	motion	motion	NOUN
bibechana-4046	15	13	of	of	ADP
bibechana-4046	15	14	the	the	DET
bibechana-4046	15	15	central	central	ADJ
bibechana-4046	15	16	body	body	NOUN
bibechana-4046	15	17	,	,	PUNCT
bibechana-4046	15	18	ω	ω	NUM
bibechana-4046	15	19	=	=	NOUN
bibechana-4046	15	20	longitude	longitude	NOUN
bibechana-4046	15	21	of	of	ADP
bibechana-4046	15	22	the	the	DET
bibechana-4046	15	23	ascending	ascend	VERB
bibechana-4046	15	24	node	node	NOUN
bibechana-4046	15	25	,	,	PUNCT
bibechana-4046	15	26	ω	ω	NUM
bibechana-4046	15	27	=	=	PUNCT
bibechana-4046	15	28	argument	argument	NOUN
bibechana-4046	15	29	of	of	ADP
bibechana-4046	15	30	perihelion	perihelion	NOUN
bibechana-4046	15	31	,	,	PUNCT
bibechana-4046	15	32	φ	φ	NOUN
bibechana-4046	15	33	=	=	SYM
bibechana-4046	15	34	true	true	ADJ
bibechana-4046	15	35	anomaly	anomaly	NOUN
bibechana-4046	15	36	,	,	PUNCT
bibechana-4046	15	37	e	e	NOUN
bibechana-4046	15	38	=	=	SYM
bibechana-4046	15	39	eccentric	eccentric	ADJ
bibechana-4046	15	40	anomaly	anomaly	NOUN
bibechana-4046	15	41	,	,	PUNCT
bibechana-4046	15	42	t	t	NOUN
bibechana-4046	15	43	=	=	PUNCT
bibechana-4046	15	44	physical	physical	ADJ
bibechana-4046	15	45	time	time	NOUN
bibechana-4046	15	46	,	,	PUNCT
bibechana-4046	15	47	∗	∗	NOUN
bibechana-4046	15	48	corresponding	correspond	VERB
bibechana-4046	15	49	author	author	NOUN
bibechana-4046	15	50	:	:	PUNCT
bibechana-4046	15	51	raju	raju	PROPN
bibechana-4046	15	52	ram	ram	PROPN
bibechana-4046	15	53	thapa	thapa	PROPN
bibechana-4046	15	54	,	,	PUNCT
bibechana-4046	15	55	post	post	VERB
bibechana-4046	15	56	graduate	graduate	NOUN
bibechana-4046	15	57	campus	campus	NOUN
bibechana-4046	15	58	,	,	PUNCT
bibechana-4046	15	59	biratnagar	biratnagar	NOUN
bibechana-4046	15	60	,	,	PUNCT
bibechana-4046	15	61	tribhuvan	tribhuvan	PROPN
bibechana-4046	15	62	university	university	PROPN
bibechana-4046	15	63	,	,	PUNCT
bibechana-4046	15	64	nepal	nepal	PROPN
bibechana-4046	15	65	,	,	PUNCT
bibechana-4046	15	66	email:thaparajuram@yahoo.com	email:thaparajuram@yahoo.com	PROPN
bibechana-4046	15	67	m.r	m.r	PROPN
bibechana-4046	15	68	.	.	PROPN
bibechana-4046	15	69	hassan	hassan	PROPN
bibechana-4046	15	70	and	and	CCONJ
bibechana-4046	15	71	r.r	r.r	PROPN
bibechana-4046	15	72	.	.	PROPN
bibechana-4046	15	73	thapa	thapa	PROPN
bibechana-4046	15	74	/	/	SYM
bibechana-4046	15	75	bibechana	bibechana	PROPN
bibechana-4046	15	76	7	7	NUM
bibechana-4046	15	77	(	(	PUNCT
bibechana-4046	15	78	2011	2011	NUM
bibechana-4046	15	79	)	)	PUNCT
bibechana-4046	15	80	54	54	NUM
bibechana-4046	15	81	-	-	SYM
bibechana-4046	15	82	60	60	NUM
bibechana-4046	15	83	:	:	PUNCT
bibechana-4046	15	84	bmhss	bmhss	PROPN
bibechana-4046	15	85	55	55	NUM
bibechana-4046	15	86	s	s	PART
bibechana-4046	15	87	=	=	X
bibechana-4046	15	88	psedo	psedo	NOUN
bibechana-4046	15	89	time	time	NOUN
bibechana-4046	15	90	,	,	PUNCT
bibechana-4046	15	91	n	n	NOUN
bibechana-4046	15	92	=	=	PRON
bibechana-4046	15	93	mean	mean	VERB
bibechana-4046	15	94	angular	angular	ADJ
bibechana-4046	15	95	motion	motion	NOUN
bibechana-4046	15	96	,	,	PUNCT
bibechana-4046	15	97	.	.	PUNCT
bibechana-4046	16	1	=	=	PRON
bibechana-4046	16	2	,	,	PUNCT
bibechana-4046	16	3	dt	dt	X
bibechana-4046	16	4	d	d	NOUN
bibechana-4046	16	5	/	/	SYM
bibechana-4046	16	6	=	=	SYM
bibechana-4046	16	7	,	,	PUNCT
bibechana-4046	16	8	ds	ds	PROPN
bibechana-4046	16	9	d	d	PROPN
bibechana-4046	16	10	σ	σ	X
bibechana-4046	16	11	=	=	SYM
bibechana-4046	16	12	φ	φ	PROPN
bibechana-4046	16	13	+	+	PROPN
bibechana-4046	16	14	ω	ω	PROPN
bibechana-4046	16	15	2	2	NUM
bibechana-4046	16	16	.	.	PUNCT
bibechana-4046	16	17	derivation	derivation	NOUN
bibechana-4046	16	18	of	of	ADP
bibechana-4046	16	19	synodic	synodic	ADJ
bibechana-4046	16	20	ks	ks	PROPN
bibechana-4046	16	21	–	–	PUNCT
bibechana-4046	16	22	variables	variable	NOUN
bibechana-4046	16	23	in	in	ADP
bibechana-4046	16	24	1965	1965	NUM
bibechana-4046	16	25	kustaanheimo	kustaanheimo	NOUN
bibechana-4046	16	26	and	and	CCONJ
bibechana-4046	16	27	steifel	steifel	NOUN
bibechana-4046	16	28	[	[	X
bibechana-4046	16	29	1	1	X
bibechana-4046	16	30	]	]	PUNCT
bibechana-4046	16	31	defined	define	VERB
bibechana-4046	16	32	an	an	DET
bibechana-4046	16	33	orthogonal	orthogonal	ADJ
bibechana-4046	16	34	matrix	matrix	NOUN
bibechana-4046	16	35	l	l	NOUN
bibechana-4046	16	36	(	(	PUNCT
bibechana-4046	16	37	u	u	NOUN
bibechana-4046	16	38	)	)	PUNCT
bibechana-4046	16	39	,	,	PUNCT
bibechana-4046	16	40	called	call	VERB
bibechana-4046	16	41	ks	ks	NOUN
bibechana-4046	16	42	–	–	PUNCT
bibechana-4046	16	43	matrix	matrix	NOUN
bibechana-4046	16	44	,	,	PUNCT
bibechana-4046	16	45	where	where	SCONJ
bibechana-4046	16	46	l(u	l(u	PROPN
bibechana-4046	16	47	)	)	PUNCT
bibechana-4046	17	1	=	=	PUNCT
bibechana-4046	18	1			PROPN
bibechana-4046	18	2			PROPN
bibechana-4046	18	3			PROPN
bibechana-4046	18	4			PROPN
bibechana-4046	18	5			PROPN
bibechana-4046	18	6			PROPN
bibechana-4046	18	7			ADJ
bibechana-4046	18	8			ADJ
bibechana-4046	18	9			ADJ
bibechana-4046	18	10			ADJ
bibechana-4046	18	11			NUM
bibechana-4046	18	12			PROPN
bibechana-4046	18	13	−−	−−	PROPN
bibechana-4046	18	14	−−	−−	PROPN
bibechana-4046	18	15	−−	−−	NOUN
bibechana-4046	18	16	1234	1234	NUM
bibechana-4046	18	17	2143	2143	NUM
bibechana-4046	18	18	3412	3412	NUM
bibechana-4046	18	19	4321	4321	NUM
bibechana-4046	18	20	uuuu	uuuu	PROPN
bibechana-4046	18	21	uuuu	uuuu	PROPN
bibechana-4046	18	22	uuuu	uuuu	PROPN
bibechana-4046	18	23	uuuu	uuuu	PROPN
bibechana-4046	18	24	(	(	PUNCT
bibechana-4046	18	25	1	1	X
bibechana-4046	18	26	)	)	PUNCT
bibechana-4046	18	27	lt	lt	PROPN
bibechana-4046	18	28	(	(	PUNCT
bibechana-4046	18	29	u	u	NOUN
bibechana-4046	18	30	)	)	PUNCT
bibechana-4046	18	31	l	l	NOUN
bibechana-4046	18	32	(	(	PUNCT
bibechana-4046	18	33	u	u	NOUN
bibechana-4046	18	34	)	)	PUNCT
bibechana-4046	18	35	=	=	SYM
bibechana-4046	18	36	l(u	l(u	PROPN
bibechana-4046	18	37	)	)	PUNCT
bibechana-4046	19	1	lt	lt	PROPN
bibechana-4046	19	2	(	(	PUNCT
bibechana-4046	19	3	u	u	NOUN
bibechana-4046	19	4	)	)	PUNCT
bibechana-4046	19	5	=	=	SYM
bibechana-4046	19	6	(	(	PUNCT
bibechana-4046	19	7	u	u	NOUN
bibechana-4046	19	8	,	,	PUNCT
bibechana-4046	19	9	u	u	NOUN
bibechana-4046	19	10	)	)	PUNCT
bibechana-4046	19	11	i.	i.	NOUN
bibechana-4046	19	12	here	here	ADV
bibechana-4046	19	13	lt(u	lt(u	X
bibechana-4046	19	14	)	)	PUNCT
bibechana-4046	19	15	is	be	AUX
bibechana-4046	19	16	the	the	DET
bibechana-4046	19	17	transpose	transpose	NOUN
bibechana-4046	19	18	of	of	ADP
bibechana-4046	19	19	l(u	l(u	PROPN
bibechana-4046	19	20	)	)	PUNCT
bibechana-4046	19	21	,	,	PUNCT
bibechana-4046	19	22	i	i	PRON
bibechana-4046	19	23	is	be	AUX
bibechana-4046	19	24	the	the	DET
bibechana-4046	19	25	4	4	NUM
bibechana-4046	19	26	×	×	NOUN
bibechana-4046	19	27	4	4	NUM
bibechana-4046	19	28	unit	unit	NOUN
bibechana-4046	19	29	matrix	matrix	NOUN
bibechana-4046	19	30	and	and	CCONJ
bibechana-4046	19	31	u	u	NOUN
bibechana-4046	19	32	=	=	PUNCT
bibechana-4046	19	33	(	(	PUNCT
bibechana-4046	19	34	u1	u1	PROPN
bibechana-4046	19	35	,	,	PUNCT
bibechana-4046	19	36	u2	u2	NOUN
bibechana-4046	19	37	,	,	PUNCT
bibechana-4046	19	38	u3	u3	NOUN
bibechana-4046	19	39	,	,	PUNCT
bibechana-4046	19	40	u4	u4	PROPN
bibechana-4046	19	41	)	)	PUNCT
bibechana-4046	19	42	.	.	PUNCT
bibechana-4046	20	1	if	if	SCONJ
bibechana-4046	20	2	x	x	PRON
bibechana-4046	20	3	=	=	PRON
bibechana-4046	20	4	(	(	PUNCT
bibechana-4046	20	5	x1	x1	PROPN
bibechana-4046	20	6	,	,	PUNCT
bibechana-4046	20	7	x2	x2	PROPN
bibechana-4046	20	8	,	,	PUNCT
bibechana-4046	20	9	x3	x3	ADJ
bibechana-4046	20	10	)	)	PUNCT
bibechana-4046	20	11	are	be	AUX
bibechana-4046	20	12	three	three	NUM
bibechana-4046	20	13	dimensional	dimensional	ADJ
bibechana-4046	20	14	coordinates	coordinate	NOUN
bibechana-4046	20	15	of	of	ADP
bibechana-4046	20	16	a	a	DET
bibechana-4046	20	17	point	point	NOUN
bibechana-4046	20	18	,	,	PUNCT
bibechana-4046	20	19	ks	ks	NOUN
bibechana-4046	20	20	–	–	PUNCT
bibechana-4046	20	21	transformation	transformation	NOUN
bibechana-4046	20	22	in	in	ADP
bibechana-4046	20	23	sidereal	sidereal	ADJ
bibechana-4046	20	24	frame	frame	NOUN
bibechana-4046	20	25	is	be	AUX
bibechana-4046	20	26	given	give	VERB
bibechana-4046	20	27	by	by	ADP
bibechana-4046	20	28	the	the	DET
bibechana-4046	20	29	single	single	ADJ
bibechana-4046	20	30	matrix	matrix	NOUN
bibechana-4046	20	31	equation	equation	NOUN
bibechana-4046	20	32	:	:	PUNCT
bibechana-4046	20	33	x	x	SYM
bibechana-4046	20	34	=	=	SYM
bibechana-4046	20	35	l(u	l(u	PROPN
bibechana-4046	20	36	)	)	PUNCT
bibechana-4046	20	37	(	(	PUNCT
bibechana-4046	20	38	u	u	NOUN
bibechana-4046	20	39	)	)	PUNCT
bibechana-4046	20	40	(	(	PUNCT
bibechana-4046	20	41	2	2	X
bibechana-4046	20	42	)	)	PUNCT
bibechana-4046	20	43	explicitly	explicitly	ADV
bibechana-4046	20	44	,	,	PUNCT
bibechana-4046	20	45	x1	x1	PROPN
bibechana-4046	20	46	=	=	SYM
bibechana-4046	20	47	u1	u1	NOUN
bibechana-4046	20	48	2	2	NUM
bibechana-4046	20	49	–	–	PUNCT
bibechana-4046	20	50	u2	u2	NOUN
bibechana-4046	20	51	2	2	NUM
bibechana-4046	20	52	–	–	PUNCT
bibechana-4046	20	53	u3	u3	NOUN
bibechana-4046	20	54	2	2	NUM
bibechana-4046	20	55	+	+	CCONJ
bibechana-4046	20	56	u4	u4	PROPN
bibechana-4046	20	57	2	2	NUM
bibechana-4046	20	58	x2	x2	NOUN
bibechana-4046	20	59	=	=	SYM
bibechana-4046	20	60	2	2	NUM
bibechana-4046	20	61	(	(	PUNCT
bibechana-4046	20	62	u1.u2	u1.u2	PROPN
bibechana-4046	20	63	–	–	PUNCT
bibechana-4046	20	64	u3.u4	u3.u4	NUM
bibechana-4046	20	65	)	)	PUNCT
bibechana-4046	20	66	(	(	PUNCT
bibechana-4046	20	67	3	3	X
bibechana-4046	20	68	)	)	PUNCT
bibechana-4046	20	69	x3	x3	NOUN
bibechana-4046	20	70	=	=	SYM
bibechana-4046	20	71	2	2	NUM
bibechana-4046	20	72	(	(	PUNCT
bibechana-4046	20	73	u1.u3	u1.u3	ADJ
bibechana-4046	20	74	–	–	PUNCT
bibechana-4046	20	75	u2.u3	u2.u3	ADJ
bibechana-4046	20	76	)	)	PUNCT
bibechana-4046	20	77	in	in	ADP
bibechana-4046	20	78	sidereal	sidereal	ADJ
bibechana-4046	20	79	frame	frame	NOUN
bibechana-4046	20	80	,	,	PUNCT
bibechana-4046	20	81	the	the	DET
bibechana-4046	20	82	compact	compact	ADJ
bibechana-4046	20	83	parametric	parametric	ADJ
bibechana-4046	20	84	representation	representation	NOUN
bibechana-4046	20	85	of	of	ADP
bibechana-4046	20	86	ks	ks	PROPN
bibechana-4046	20	87	–	–	PUNCT
bibechana-4046	20	88	variables	variable	NOUN
bibechana-4046	20	89	in	in	ADP
bibechana-4046	20	90	terms	term	NOUN
bibechana-4046	20	91	of	of	ADP
bibechana-4046	20	92	orbital	orbital	ADJ
bibechana-4046	20	93	elements	element	NOUN
bibechana-4046	20	94	i	i	PRON
bibechana-4046	20	95	,	,	PUNCT
bibechana-4046	20	96	σ	σ	PROPN
bibechana-4046	20	97	,	,	PUNCT
bibechana-4046	20	98	ω	ω	PROPN
bibechana-4046	20	99	in	in	ADP
bibechana-4046	20	100	any	any	DET
bibechana-4046	20	101	plane	plane	NOUN
bibechana-4046	20	102	curve	curve	NOUN
bibechana-4046	20	103	having	have	VERB
bibechana-4046	20	104	its	its	PRON
bibechana-4046	20	105	orbital	orbital	ADJ
bibechana-4046	20	106	plane	plane	NOUN
bibechana-4046	20	107	in	in	ADP
bibechana-4046	20	108	general	general	ADJ
bibechana-4046	20	109	position	position	NOUN
bibechana-4046	20	110	,	,	PUNCT
bibechana-4046	20	111	is	be	AUX
bibechana-4046	20	112	given	give	VERB
bibechana-4046	20	113	by	by	ADP
bibechana-4046	20	114	[	[	X
bibechana-4046	20	115	3	3	NUM
bibechana-4046	20	116	]	]	PUNCT
bibechana-4046	20	117	as	as	ADP
bibechana-4046	20	118	:	:	PUNCT
bibechana-4046	20	119	u1	u1	NOUN
bibechana-4046	20	120	=	=	SYM
bibechana-4046	20	121	]	]	SYM
bibechana-4046	20	122	2	2	X
bibechana-4046	20	123	)	)	PUNCT
bibechana-4046	20	124	(	(	PUNCT
bibechana-4046	20	125	sin	sin	NOUN
bibechana-4046	20	126	[	[	X
bibechana-4046	20	127	)	)	PUNCT
bibechana-4046	20	128	2	2	NUM
bibechana-4046	20	129	sin	sin	NOUN
bibechana-4046	20	130	(	(	PUNCT
bibechana-4046	20	131	]	]	SYM
bibechana-4046	20	132	2	2	X
bibechana-4046	20	133	)	)	PUNCT
bibechana-4046	20	134	(	(	PUNCT
bibechana-4046	20	135	cos	cos	PROPN
bibechana-4046	20	136	[	[	X
bibechana-4046	20	137	)	)	SYM
bibechana-4046	20	138	2	2	NUM
bibechana-4046	20	139	sin	sin	NOUN
bibechana-4046	20	140	(	(	PUNCT
bibechana-4046	20	141	2	2	NUM
bibechana-4046	20	142	σσ	σσ	ADP
bibechana-4046	20	143	−ω	−ω	ADJ
bibechana-4046	20	144	=	=	PUNCT
bibechana-4046	21	1	−ω	−ω	ADJ
bibechana-4046	22	1	i	i	PRON
bibechana-4046	22	2	u	u	VERB
bibechana-4046	22	3	i	i	PRON
bibechana-4046	22	4	(	(	PUNCT
bibechana-4046	22	5	4	4	X
bibechana-4046	22	6	)	)	PUNCT
bibechana-4046	22	7	u3	u3	NOUN
bibechana-4046	22	8	=	=	SYM
bibechana-4046	22	9	]	]	SYM
bibechana-4046	22	10	2	2	X
bibechana-4046	22	11	)	)	PUNCT
bibechana-4046	22	12	(	(	PUNCT
bibechana-4046	22	13	cos	cos	PROPN
bibechana-4046	22	14	[	[	X
bibechana-4046	22	15	)	)	PUNCT
bibechana-4046	22	16	2	2	NUM
bibechana-4046	22	17	cos	cos	X
bibechana-4046	22	18	(	(	PUNCT
bibechana-4046	22	19	]	]	SYM
bibechana-4046	22	20	2	2	X
bibechana-4046	22	21	)	)	PUNCT
bibechana-4046	22	22	(	(	PUNCT
bibechana-4046	22	23	sin	sin	NOUN
bibechana-4046	22	24	[	[	X
bibechana-4046	22	25	)	)	PUNCT
bibechana-4046	22	26	2	2	NUM
bibechana-4046	22	27	cos	cos	PROPN
bibechana-4046	22	28	(	(	PUNCT
bibechana-4046	22	29	4	4	NUM
bibechana-4046	22	30	σσ	σσ	ADP
bibechana-4046	22	31	+	+	PROPN
bibechana-4046	22	32	ω	ω	NOUN
bibechana-4046	22	33	−=	−=	X
bibechana-4046	22	34	+	+	NOUN
bibechana-4046	22	35	ω	ω	NOUN
bibechana-4046	22	36	i	i	PRON
bibechana-4046	22	37	u	u	NOUN
bibechana-4046	22	38	i	i	PRON
bibechana-4046	22	39	the	the	DET
bibechana-4046	22	40	sidereal	sidereal	PROPN
bibechana-4046	22	41	parameters	parameter	NOUN
bibechana-4046	23	1	uj	uj	PROPN
bibechana-4046	23	2	(	(	PUNCT
bibechana-4046	23	3	j	j	NOUN
bibechana-4046	23	4	=	=	SYM
bibechana-4046	23	5	1	1	NUM
bibechana-4046	23	6	,	,	PUNCT
bibechana-4046	23	7	2	2	NUM
bibechana-4046	23	8	,	,	PUNCT
bibechana-4046	23	9	3	3	NUM
bibechana-4046	23	10	,	,	PUNCT
bibechana-4046	23	11	4	4	NUM
bibechana-4046	23	12	)	)	PUNCT
bibechana-4046	23	13	of	of	ADP
bibechana-4046	23	14	the	the	DET
bibechana-4046	23	15	particle	particle	NOUN
bibechana-4046	23	16	itself	itself	PRON
bibechana-4046	23	17	are	be	AUX
bibechana-4046	23	18	obtained	obtain	VERB
bibechana-4046	23	19	by	by	ADP
bibechana-4046	23	20	multiplying	multiply	VERB
bibechana-4046	23	21	the	the	DET
bibechana-4046	23	22	square	square	ADJ
bibechana-4046	23	23	root	root	NOUN
bibechana-4046	23	24	of	of	ADP
bibechana-4046	23	25	its	its	PRON
bibechana-4046	23	26	distance	distance	NOUN
bibechana-4046	23	27	‘	'	PUNCT
bibechana-4046	23	28	r	r	NOUN
bibechana-4046	23	29	’	'	PUNCT
bibechana-4046	23	30	from	from	ADP
bibechana-4046	23	31	the	the	DET
bibechana-4046	23	32	central	central	ADJ
bibechana-4046	23	33	body	body	NOUN
bibechana-4046	23	34	.	.	PUNCT
bibechana-4046	24	1	therefore	therefore	ADV
bibechana-4046	24	2	,	,	PUNCT
bibechana-4046	24	3	u1	u1	PROPN
bibechana-4046	24	4	=	=	SYM
bibechana-4046	24	5	]	]	SYM
bibechana-4046	24	6	2	2	X
bibechana-4046	24	7	)	)	PUNCT
bibechana-4046	24	8	(	(	PUNCT
bibechana-4046	24	9	cos	cos	PROPN
bibechana-4046	24	10	[	[	X
bibechana-4046	24	11	)	)	SYM
bibechana-4046	24	12	2	2	NUM
bibechana-4046	24	13	sin	sin	NOUN
bibechana-4046	24	14	(	(	PUNCT
bibechana-4046	24	15	σ−ωi	σ−ωi	NOUN
bibechana-4046	24	16	r	r	NOUN
bibechana-4046	24	17	u2	u2	NOUN
bibechana-4046	24	18	=	=	SYM
bibechana-4046	24	19	]	]	SYM
bibechana-4046	24	20	2	2	X
bibechana-4046	24	21	)	)	PUNCT
bibechana-4046	24	22	(	(	PUNCT
bibechana-4046	24	23	sin	sin	NOUN
bibechana-4046	24	24	[	[	X
bibechana-4046	24	25	)	)	PUNCT
bibechana-4046	24	26	2	2	NUM
bibechana-4046	24	27	sin	sin	NOUN
bibechana-4046	24	28	(	(	PUNCT
bibechana-4046	24	29	σ−ωi	σ−ωi	NOUN
bibechana-4046	24	30	r	r	NOUN
bibechana-4046	24	31	(	(	PUNCT
bibechana-4046	24	32	5	5	NUM
bibechana-4046	24	33	)	)	PUNCT
bibechana-4046	24	34	u3	u3	NOUN
bibechana-4046	24	35	=	=	SYM
bibechana-4046	24	36	]	]	SYM
bibechana-4046	24	37	2	2	X
bibechana-4046	24	38	)	)	PUNCT
bibechana-4046	24	39	(	(	PUNCT
bibechana-4046	24	40	sin	sin	NOUN
bibechana-4046	24	41	[	[	X
bibechana-4046	24	42	)	)	PUNCT
bibechana-4046	24	43	2	2	NUM
bibechana-4046	24	44	cos	cos	PROPN
bibechana-4046	24	45	(	(	PUNCT
bibechana-4046	24	46	σ+ωi	σ+ωi	PROPN
bibechana-4046	24	47	r	r	NOUN
bibechana-4046	24	48	u4	u4	PROPN
bibechana-4046	24	49	=	=	X
bibechana-4046	24	50	]	]	X
bibechana-4046	24	51	2	2	X
bibechana-4046	24	52	)	)	PUNCT
bibechana-4046	24	53	(	(	PUNCT
bibechana-4046	24	54	cos	cos	PROPN
bibechana-4046	24	55	[	[	X
bibechana-4046	24	56	)	)	PUNCT
bibechana-4046	24	57	2	2	NUM
bibechana-4046	24	58	cos	cos	X
bibechana-4046	24	59	(	(	PUNCT
bibechana-4046	24	60	σ+ω	σ+ω	NUM
bibechana-4046	24	61	−	−	NOUN
bibechana-4046	25	1	i	i	PRON
bibechana-4046	25	2	r	r	VERB
bibechana-4046	25	3	where	where	SCONJ
bibechana-4046	25	4	r	r	NOUN
bibechana-4046	25	5	=	=	SYM
bibechana-4046	25	6	(	(	PUNCT
bibechana-4046	25	7	x1	x1	PROPN
bibechana-4046	25	8	2	2	NUM
bibechana-4046	26	1	+	+	NUM
bibechana-4046	26	2	x2	x2	PROPN
bibechana-4046	26	3	2	2	NUM
bibechana-4046	26	4	+	+	CCONJ
bibechana-4046	26	5	x3	x3	ADJ
bibechana-4046	26	6	2)½	2)½	NUM
bibechana-4046	26	7	=	=	SYM
bibechana-4046	26	8	u1	u1	NOUN
bibechana-4046	26	9	2	2	NUM
bibechana-4046	26	10	+	+	CCONJ
bibechana-4046	26	11	u2	u2	PROPN
bibechana-4046	26	12	2	2	NUM
bibechana-4046	26	13	+	+	NOUN
bibechana-4046	26	14	u3	u3	NOUN
bibechana-4046	26	15	2	2	NUM
bibechana-4046	26	16	+	+	CCONJ
bibechana-4046	26	17	u4	u4	PROPN
bibechana-4046	26	18	2	2	PROPN
bibechana-4046	26	19	=	=	SYM
bibechana-4046	26	20	(	(	PUNCT
bibechana-4046	26	21	u	u	NOUN
bibechana-4046	26	22	,	,	PUNCT
bibechana-4046	26	23	u	u	NOUN
bibechana-4046	26	24	)	)	PUNCT
bibechana-4046	26	25	(	(	PUNCT
bibechana-4046	26	26	6	6	X
bibechana-4046	26	27	)	)	PUNCT
bibechana-4046	26	28	it	it	PRON
bibechana-4046	26	29	may	may	AUX
bibechana-4046	26	30	be	be	AUX
bibechana-4046	26	31	noted	note	VERB
bibechana-4046	26	32	that	that	SCONJ
bibechana-4046	26	33	i	i	PRON
bibechana-4046	26	34	&	&	CCONJ
bibechana-4046	26	35	ω	ω	PROPN
bibechana-4046	26	36	are	be	AUX
bibechana-4046	26	37	fixed	fix	VERB
bibechana-4046	26	38	orbital	orbital	ADJ
bibechana-4046	26	39	elements	element	NOUN
bibechana-4046	26	40	whereas	whereas	SCONJ
bibechana-4046	26	41	σ	σ	PROPN
bibechana-4046	26	42	is	be	AUX
bibechana-4046	26	43	only	only	ADV
bibechana-4046	26	44	the	the	DET
bibechana-4046	26	45	variable	variable	ADJ
bibechana-4046	26	46	orbital	orbital	ADJ
bibechana-4046	26	47	element	element	NOUN
bibechana-4046	26	48	.	.	PUNCT
bibechana-4046	27	1	in	in	ADP
bibechana-4046	27	2	terms	term	NOUN
bibechana-4046	27	3	of	of	ADP
bibechana-4046	27	4	orbital	orbital	ADJ
bibechana-4046	27	5	elements	element	NOUN
bibechana-4046	27	6	i	i	PRON
bibechana-4046	27	7	,	,	PUNCT
bibechana-4046	27	8	ω	ω	PROPN
bibechana-4046	27	9	&	&	CCONJ
bibechana-4046	27	10	σ	σ	PROPN
bibechana-4046	27	11	t	t	PROPN
bibechana-4046	27	12	he	he	PRON
bibechana-4046	27	13	sidereal	sidereal	VERB
bibechana-4046	27	14	physical	physical	ADJ
bibechana-4046	27	15	coordinates	coordinate	NOUN
bibechana-4046	27	16	xi	xi	ADP
bibechana-4046	27	17	s	s	X
bibechana-4046	27	18	of	of	ADP
bibechana-4046	27	19	a	a	DET
bibechana-4046	27	20	point	point	NOUN
bibechana-4046	27	21	are	be	AUX
bibechana-4046	27	22	given	give	VERB
bibechana-4046	27	23	by	by	ADP
bibechana-4046	27	24	x1	x1	PROPN
bibechana-4046	27	25	=	=	SYM
bibechana-4046	27	26	)	)	PUNCT
bibechana-4046	27	27	cos	cos	PROPN
bibechana-4046	27	28	(	(	PUNCT
bibechana-4046	27	29	)	)	PUNCT
bibechana-4046	27	30	2	2	NUM
bibechana-4046	27	31	(	(	PUNCT
bibechana-4046	27	32	cos)cos	cos)cos	PROPN
bibechana-4046	27	33	(	(	PUNCT
bibechana-4046	27	34	)	)	PUNCT
bibechana-4046	27	35	2	2	NUM
bibechana-4046	27	36	(	(	PUNCT
bibechana-4046	27	37	sin	sin	NOUN
bibechana-4046	27	38	22	22	NUM
bibechana-4046	27	39	σσ	σσ	ADP
bibechana-4046	27	40	+	+	PROPN
bibechana-4046	27	41	ω+−ω	ω+−ω	PROPN
bibechana-4046	27	42	ii	ii	NOUN
bibechana-4046	28	1	x2	x2	NOUN
bibechana-4046	28	2	=	=	PUNCT
bibechana-4046	28	3	)	)	PUNCT
bibechana-4046	28	4	sin	sin	NOUN
bibechana-4046	28	5	(	(	PUNCT
bibechana-4046	28	6	)	)	PUNCT
bibechana-4046	28	7	2	2	NUM
bibechana-4046	28	8	(	(	PUNCT
bibechana-4046	28	9	cos)sin	cos)sin	PROPN
bibechana-4046	28	10	(	(	PUNCT
bibechana-4046	28	11	)	)	PUNCT
bibechana-4046	28	12	2	2	NUM
bibechana-4046	28	13	(	(	PUNCT
bibechana-4046	28	14	sin	sin	NOUN
bibechana-4046	28	15	22	22	NUM
bibechana-4046	28	16	σσ	σσ	ADP
bibechana-4046	28	17	+	+	PROPN
bibechana-4046	28	18	ω+−ω	ω+−ω	PROPN
bibechana-4046	28	19	ii	ii	NOUN
bibechana-4046	28	20	(	(	PUNCT
bibechana-4046	28	21	7	7	X
bibechana-4046	28	22	)	)	PUNCT
bibechana-4046	28	23	x3	x3	NOUN
bibechana-4046	28	24	=	=	PUNCT
bibechana-4046	28	25	sin	sin	PROPN
bibechana-4046	28	26	i.	i.	PROPN
bibechana-4046	28	27	sinσ	sinσ	PROPN
bibechana-4046	29	1	if	if	SCONJ
bibechana-4046	29	2	x1	x1	PROPN
bibechana-4046	29	3	x2	x2	PROPN
bibechana-4046	29	4	plane	plane	NOUN
bibechana-4046	29	5	rotates	rotate	VERB
bibechana-4046	29	6	about	about	ADP
bibechana-4046	29	7	x3	x3	ADJ
bibechana-4046	29	8	–	–	PUNCT
bibechana-4046	29	9	axis	axis	NOUN
bibechana-4046	29	10	with	with	ADP
bibechana-4046	29	11	mean	mean	ADJ
bibechana-4046	29	12	angular	angular	ADJ
bibechana-4046	29	13	motion	motion	NOUN
bibechana-4046	29	14	n	n	CCONJ
bibechana-4046	29	15	,	,	PUNCT
bibechana-4046	29	16	then	then	ADV
bibechana-4046	29	17	at	at	ADP
bibechana-4046	29	18	any	any	DET
bibechana-4046	29	19	time	time	NOUN
bibechana-4046	29	20	t	t	PROPN
bibechana-4046	29	21	,	,	PUNCT
bibechana-4046	29	22	the	the	DET
bibechana-4046	29	23	synodic	synodic	ADJ
bibechana-4046	29	24	coordinates	coordinate	NOUN
bibechana-4046	29	25	(	(	PUNCT
bibechana-4046	29	26	y1	y1	INTJ
bibechana-4046	29	27	,	,	PUNCT
bibechana-4046	29	28	y2	y2	PROPN
bibechana-4046	29	29	,	,	PUNCT
bibechana-4046	29	30	y3	y3	PROPN
bibechana-4046	29	31	)	)	PUNCT
bibechana-4046	29	32	of	of	ADP
bibechana-4046	29	33	the	the	DET
bibechana-4046	29	34	point	point	NOUN
bibechana-4046	29	35	,	,	PUNCT
bibechana-4046	29	36	are	be	AUX
bibechana-4046	29	37	given	give	VERB
bibechana-4046	29	38	by	by	ADP
bibechana-4046	29	39	y1	y1	NOUN
bibechana-4046	29	40	=	=	SYM
bibechana-4046	29	41	x1cos	x1cos	PROPN
bibechana-4046	29	42	nt	not	PART
bibechana-4046	30	1	+	+	CCONJ
bibechana-4046	30	2	x2	x2	ADJ
bibechana-4046	30	3	sin	sin	NOUN
bibechana-4046	30	4	nt	not	PART
bibechana-4046	30	5	,	,	PUNCT
bibechana-4046	30	6	y2	y2	PROPN
bibechana-4046	30	7	=	=	SYM
bibechana-4046	31	1	x1	x1	PROPN
bibechana-4046	31	2	sin	sin	NOUN
bibechana-4046	31	3	nt	not	PART
bibechana-4046	31	4	+	+	CCONJ
bibechana-4046	31	5	x2	x2	PROPN
bibechana-4046	31	6	cos	cos	PROPN
bibechana-4046	31	7	nt	nt	PROPN
bibechana-4046	31	8	,	,	PUNCT
bibechana-4046	31	9	y3	y3	NOUN
bibechana-4046	31	10	=	=	SYM
bibechana-4046	31	11	x3	x3	NOUN
bibechana-4046	31	12	(	(	PUNCT
bibechana-4046	31	13	8)	8)	NUM
bibechana-4046	31	14	introduction	introduction	NOUN
bibechana-4046	31	15	of	of	ADP
bibechana-4046	31	16	eqs	eqs	PROPN
bibechana-4046	31	17	.	.	PUNCT
bibechana-4046	32	1	(	(	PUNCT
bibechana-4046	32	2	7	7	X
bibechana-4046	32	3	)	)	PUNCT
bibechana-4046	32	4	in	in	ADP
bibechana-4046	32	5	(	(	PUNCT
bibechana-4046	32	6	8)	8)	NUM
bibechana-4046	32	7	yields	yield	NOUN
bibechana-4046	32	8	m.r	m.r	PROPN
bibechana-4046	32	9	.	.	PROPN
bibechana-4046	32	10	hassan	hassan	PROPN
bibechana-4046	32	11	and	and	CCONJ
bibechana-4046	32	12	r.r	r.r	PROPN
bibechana-4046	32	13	.	.	PROPN
bibechana-4046	32	14	thapa	thapa	PROPN
bibechana-4046	32	15	/	/	SYM
bibechana-4046	32	16	bibechana	bibechana	PROPN
bibechana-4046	32	17	7	7	NUM
bibechana-4046	32	18	(	(	PUNCT
bibechana-4046	32	19	2011	2011	NUM
bibechana-4046	32	20	)	)	PUNCT
bibechana-4046	32	21	54	54	NUM
bibechana-4046	32	22	-	-	SYM
bibechana-4046	32	23	60	60	NUM
bibechana-4046	32	24	:	:	PUNCT
bibechana-4046	32	25	bmhss	bmhss	NOUN
bibechana-4046	32	26	56	56	NUM
bibechana-4046	32	27	y1	y1	NOUN
bibechana-4046	32	28	=	=	SYM
bibechana-4046	32	29	)	)	PUNCT
bibechana-4046	32	30	cos	cos	PROPN
bibechana-4046	32	31	(	(	PUNCT
bibechana-4046	32	32	)	)	PUNCT
bibechana-4046	32	33	2	2	NUM
bibechana-4046	32	34	(	(	PUNCT
bibechana-4046	32	35	cos)cos	cos)cos	PROPN
bibechana-4046	32	36	(	(	PUNCT
bibechana-4046	32	37	)	)	PUNCT
bibechana-4046	32	38	2	2	NUM
bibechana-4046	32	39	(	(	PUNCT
bibechana-4046	32	40	sin	sin	NOUN
bibechana-4046	32	41	22	22	NUM
bibechana-4046	33	1	nt	not	PART
bibechana-4046	34	1	i	i	PRON
bibechana-4046	34	2	nt	not	PART
bibechana-4046	34	3	i	i	PRON
bibechana-4046	34	4	−+ω+−−ω	−+ω+−−ω	VERB
bibechana-4046	34	5	σσ	σσ	ADP
bibechana-4046	34	6	y2	y2	PROPN
bibechana-4046	34	7	=	=	SYM
bibechana-4046	34	8	)	)	PUNCT
bibechana-4046	34	9	sin	sin	NOUN
bibechana-4046	34	10	(	(	PUNCT
bibechana-4046	34	11	)	)	PUNCT
bibechana-4046	34	12	2	2	NUM
bibechana-4046	34	13	(	(	PUNCT
bibechana-4046	34	14	cos)sin	cos)sin	PROPN
bibechana-4046	34	15	(	(	PUNCT
bibechana-4046	34	16	)	)	PUNCT
bibechana-4046	34	17	2	2	NUM
bibechana-4046	34	18	(	(	PUNCT
bibechana-4046	34	19	sin	sin	NOUN
bibechana-4046	34	20	22	22	NUM
bibechana-4046	35	1	nt	not	PART
bibechana-4046	36	1	i	i	PRON
bibechana-4046	36	2	nt	not	PART
bibechana-4046	36	3	i	i	PRON
bibechana-4046	36	4	−+ω+−−ω	−+ω+−−ω	VERB
bibechana-4046	36	5	σσ	σσ	ADV
bibechana-4046	36	6	(	(	PUNCT
bibechana-4046	36	7	9	9	NUM
bibechana-4046	36	8	)	)	PUNCT
bibechana-4046	36	9	y3	y3	NOUN
bibechana-4046	36	10	=	=	PUNCT
bibechana-4046	36	11	sin	sin	PROPN
bibechana-4046	36	12	i.	i.	PROPN
bibechana-4046	36	13	sinσ	sinσ	PROPN
bibechana-4046	37	1	if	if	SCONJ
bibechana-4046	37	2	q	q	NOUN
bibechana-4046	37	3	=	=	SYM
bibechana-4046	37	4	(	(	PUNCT
bibechana-4046	37	5	q1	q1	PROPN
bibechana-4046	37	6	,	,	PUNCT
bibechana-4046	37	7	q2	q2	NOUN
bibechana-4046	37	8	,	,	PUNCT
bibechana-4046	37	9	q3	q3	PROPN
bibechana-4046	37	10	,	,	PUNCT
bibechana-4046	37	11	q4	q4	PROPN
bibechana-4046	37	12	)	)	PUNCT
bibechana-4046	37	13	are	be	AUX
bibechana-4046	37	14	the	the	DET
bibechana-4046	37	15	synodic	synodic	ADJ
bibechana-4046	37	16	ks	ks	PROPN
bibechana-4046	37	17	–	–	PUNCT
bibechana-4046	37	18	variables	variable	NOUN
bibechana-4046	37	19	corresponding	correspond	VERB
bibechana-4046	37	20	to	to	ADP
bibechana-4046	37	21	physical	physical	ADJ
bibechana-4046	37	22	synodic	synodic	ADJ
bibechana-4046	37	23	coordinates	coordinate	NOUN
bibechana-4046	37	24	y	y	PROPN
bibechana-4046	37	25	=	=	PRON
bibechana-4046	37	26	(	(	PUNCT
bibechana-4046	37	27	y1	y1	PROPN
bibechana-4046	37	28	,	,	PUNCT
bibechana-4046	37	29	y2	y2	PROPN
bibechana-4046	37	30	,	,	PUNCT
bibechana-4046	37	31	y3	y3	PROPN
bibechana-4046	37	32	)	)	PUNCT
bibechana-4046	37	33	,	,	PUNCT
bibechana-4046	37	34	then	then	ADV
bibechana-4046	37	35	y	y	PROPN
bibechana-4046	37	36	=	=	SYM
bibechana-4046	37	37	l	l	PROPN
bibechana-4046	37	38	(	(	PUNCT
bibechana-4046	37	39	q	q	NOUN
bibechana-4046	37	40	)	)	PUNCT
bibechana-4046	37	41	q	q	NOUN
bibechana-4046	37	42	(	(	PUNCT
bibechana-4046	37	43	10	10	NUM
bibechana-4046	37	44	)	)	PUNCT
bibechana-4046	37	45	explicitly	explicitly	ADV
bibechana-4046	37	46	:	:	PUNCT
bibechana-4046	37	47	y1	y1	INTJ
bibechana-4046	37	48	=	=	PUNCT
bibechana-4046	37	49	q1	q1	PROPN
bibechana-4046	37	50	2	2	NUM
bibechana-4046	37	51	–	–	PUNCT
bibechana-4046	37	52	q2	q2	NOUN
bibechana-4046	37	53	2	2	NUM
bibechana-4046	37	54	–	–	PUNCT
bibechana-4046	37	55	q3	q3	NOUN
bibechana-4046	37	56	2	2	NUM
bibechana-4046	37	57	+	+	CCONJ
bibechana-4046	37	58	q4	q4	PROPN
bibechana-4046	37	59	2	2	NUM
bibechana-4046	37	60	,	,	PUNCT
bibechana-4046	37	61	y2	y2	NOUN
bibechana-4046	37	62	=	=	SYM
bibechana-4046	37	63	2(q1q2	2(q1q2	PROPN
bibechana-4046	37	64	–	–	PUNCT
bibechana-4046	37	65	q3q4	q3q4	NOUN
bibechana-4046	37	66	)	)	PUNCT
bibechana-4046	37	67	,	,	PUNCT
bibechana-4046	37	68	y3	y3	NOUN
bibechana-4046	37	69	=	=	SYM
bibechana-4046	37	70	2(q1q3	2(q1q3	PROPN
bibechana-4046	37	71	+	+	CCONJ
bibechana-4046	37	72	q2q4	q2q4	X
bibechana-4046	37	73	)	)	PUNCT
bibechana-4046	37	74	(	(	PUNCT
bibechana-4046	37	75	11	11	NUM
bibechana-4046	37	76	)	)	PUNCT
bibechana-4046	37	77	from	from	ADP
bibechana-4046	37	78	eqs	eqs	PROPN
bibechana-4046	37	79	.	.	PUNCT
bibechana-4046	38	1	(	(	PUNCT
bibechana-4046	38	2	9	9	NUM
bibechana-4046	38	3	)	)	PUNCT
bibechana-4046	38	4	&	&	CCONJ
bibechana-4046	38	5	(	(	PUNCT
bibechana-4046	38	6	11	11	NUM
bibechana-4046	38	7	)	)	PUNCT
bibechana-4046	38	8	the	the	DET
bibechana-4046	38	9	parametric	parametric	ADJ
bibechana-4046	38	10	representation	representation	NOUN
bibechana-4046	38	11	of	of	ADP
bibechana-4046	38	12	a	a	DET
bibechana-4046	38	13	point	point	NOUN
bibechana-4046	38	14	in	in	ADP
bibechana-4046	38	15	synodic	synodic	ADJ
bibechana-4046	38	16	ks	ks	PROPN
bibechana-4046	38	17	–	–	PUNCT
bibechana-4046	38	18	variables	variable	NOUN
bibechana-4046	38	19	are	be	AUX
bibechana-4046	38	20	given	give	VERB
bibechana-4046	38	21	q1	q1	PROPN
bibechana-4046	38	22	=	=	SYM
bibechana-4046	38	23	]	]	SYM
bibechana-4046	38	24	2	2	X
bibechana-4046	38	25	)	)	PUNCT
bibechana-4046	38	26	(	(	PUNCT
bibechana-4046	38	27	cos	cos	PROPN
bibechana-4046	38	28	[	[	X
bibechana-4046	38	29	)	)	SYM
bibechana-4046	38	30	2	2	NUM
bibechana-4046	38	31	sin	sin	NOUN
bibechana-4046	38	32	(	(	PUNCT
bibechana-4046	38	33	nti	nti	PROPN
bibechana-4046	38	34	−−ω	−−ω	PROPN
bibechana-4046	38	35	σ	σ	PROPN
bibechana-4046	38	36	q2	q2	NOUN
bibechana-4046	38	37	=	=	SYM
bibechana-4046	38	38	]	]	SYM
bibechana-4046	38	39	2	2	X
bibechana-4046	38	40	)	)	PUNCT
bibechana-4046	38	41	(	(	PUNCT
bibechana-4046	38	42	sin	sin	NOUN
bibechana-4046	38	43	[	[	X
bibechana-4046	38	44	)	)	PUNCT
bibechana-4046	38	45	2	2	NUM
bibechana-4046	38	46	sin	sin	NOUN
bibechana-4046	38	47	(	(	PUNCT
bibechana-4046	38	48	nti	nti	PROPN
bibechana-4046	38	49	−−ω	−−ω	PROPN
bibechana-4046	38	50	σ	σ	PROPN
bibechana-4046	38	51	(	(	PUNCT
bibechana-4046	38	52	12	12	NUM
bibechana-4046	38	53	)	)	PUNCT
bibechana-4046	38	54	q3	q3	NOUN
bibechana-4046	38	55	=	=	SYM
bibechana-4046	38	56	]	]	SYM
bibechana-4046	38	57	2	2	X
bibechana-4046	38	58	)	)	PUNCT
bibechana-4046	38	59	(	(	PUNCT
bibechana-4046	38	60	sin	sin	NOUN
bibechana-4046	38	61	[	[	X
bibechana-4046	38	62	)	)	PUNCT
bibechana-4046	38	63	2	2	NUM
bibechana-4046	38	64	cos	cos	PROPN
bibechana-4046	38	65	(	(	PUNCT
bibechana-4046	38	66	nti	nti	PROPN
bibechana-4046	38	67	−+ω	−+ω	PROPN
bibechana-4046	38	68	σ	σ	PROPN
bibechana-4046	38	69	q4	q4	PROPN
bibechana-4046	38	70	=	=	X
bibechana-4046	38	71	]	]	SYM
bibechana-4046	38	72	2	2	X
bibechana-4046	38	73	)	)	PUNCT
bibechana-4046	38	74	(	(	PUNCT
bibechana-4046	38	75	cos	cos	PROPN
bibechana-4046	38	76	[	[	X
bibechana-4046	38	77	)	)	PUNCT
bibechana-4046	38	78	2	2	NUM
bibechana-4046	38	79	cos	cos	PROPN
bibechana-4046	38	80	(	(	PUNCT
bibechana-4046	38	81	nti	nti	NOUN
bibechana-4046	38	82	−+ω	−+ω	X
bibechana-4046	38	83	−	−	PROPN
bibechana-4046	38	84	σ	σ	NOUN
bibechana-4046	38	85	which	which	PRON
bibechana-4046	38	86	satisfy	satisfy	VERB
bibechana-4046	38	87	all	all	DET
bibechana-4046	38	88	the	the	DET
bibechana-4046	38	89	eqs.(9	eqs.(9	PROPN
bibechana-4046	38	90	)	)	PUNCT
bibechana-4046	38	91	&	&	CCONJ
bibechana-4046	38	92	(	(	PUNCT
bibechana-4046	38	93	11	11	NUM
bibechana-4046	38	94	)	)	PUNCT
bibechana-4046	38	95	&	&	CCONJ
bibechana-4046	38	96	properties	property	NOUN
bibechana-4046	38	97	of	of	ADP
bibechana-4046	38	98	ks	ks	NOUN
bibechana-4046	38	99	–	–	PUNCT
bibechana-4046	38	100	transformations	transformation	NOUN
bibechana-4046	38	101	.	.	PUNCT
bibechana-4046	39	1	the	the	DET
bibechana-4046	39	2	synodic	synodic	ADJ
bibechana-4046	39	3	parameters	parameter	NOUN
bibechana-4046	39	4	qj	qj	PROPN
bibechana-4046	39	5	(	(	PUNCT
bibechana-4046	39	6	j	j	PROPN
bibechana-4046	39	7	=	=	SYM
bibechana-4046	39	8	1	1	NUM
bibechana-4046	39	9	,	,	PUNCT
bibechana-4046	39	10	2	2	NUM
bibechana-4046	39	11	,	,	PUNCT
bibechana-4046	39	12	3	3	NUM
bibechana-4046	39	13	,	,	PUNCT
bibechana-4046	39	14	4	4	NUM
bibechana-4046	39	15	)	)	PUNCT
bibechana-4046	39	16	of	of	ADP
bibechana-4046	39	17	the	the	DET
bibechana-4046	39	18	particle	particle	NOUN
bibechana-4046	39	19	itself	itself	PRON
bibechana-4046	39	20	can	can	AUX
bibechana-4046	39	21	be	be	AUX
bibechana-4046	39	22	obtained	obtain	VERB
bibechana-4046	39	23	by	by	ADP
bibechana-4046	39	24	multiplying	multiply	VERB
bibechana-4046	39	25	by	by	ADP
bibechana-4046	39	26	the	the	DET
bibechana-4046	39	27	square	square	ADJ
bibechana-4046	39	28	root	root	NOUN
bibechana-4046	39	29	of	of	ADP
bibechana-4046	39	30	its	its	PRON
bibechana-4046	39	31	distance	distance	NOUN
bibechana-4046	39	32	‘	'	PUNCT
bibechana-4046	39	33	r	r	NOUN
bibechana-4046	39	34	’	'	PUNCT
bibechana-4046	39	35	from	from	ADP
bibechana-4046	39	36	the	the	DET
bibechana-4046	39	37	central	central	ADJ
bibechana-4046	39	38	body	body	NOUN
bibechana-4046	39	39	.	.	PUNCT
bibechana-4046	40	1	i.e.	i.e.	X
bibechana-4046	40	2	q1	q1	PROPN
bibechana-4046	40	3	=	=	SYM
bibechana-4046	40	4	]	]	SYM
bibechana-4046	40	5	2	2	X
bibechana-4046	40	6	)	)	PUNCT
bibechana-4046	40	7	(	(	PUNCT
bibechana-4046	40	8	cos	cos	PROPN
bibechana-4046	40	9	[	[	X
bibechana-4046	40	10	)	)	SYM
bibechana-4046	40	11	2	2	NUM
bibechana-4046	40	12	sin	sin	NOUN
bibechana-4046	40	13	(	(	PUNCT
bibechana-4046	40	14	nti	nti	NOUN
bibechana-4046	40	15	r	r	NOUN
bibechana-4046	40	16	−−ω	−−ω	NUM
bibechana-4046	40	17	σ	σ	PROPN
bibechana-4046	40	18	q2=	q2=	PROPN
bibechana-4046	40	19	]	]	X
bibechana-4046	40	20	2	2	X
bibechana-4046	40	21	)	)	PUNCT
bibechana-4046	41	1	(	(	PUNCT
bibechana-4046	41	2	sin	sin	NOUN
bibechana-4046	41	3	[	[	X
bibechana-4046	41	4	)	)	PUNCT
bibechana-4046	41	5	2	2	NUM
bibechana-4046	41	6	sin	sin	NOUN
bibechana-4046	41	7	(	(	PUNCT
bibechana-4046	41	8	nti	nti	NOUN
bibechana-4046	41	9	r	r	NOUN
bibechana-4046	41	10	−−ω	−−ω	PROPN
bibechana-4046	41	11	σ	σ	X
bibechana-4046	41	12	(	(	PUNCT
bibechana-4046	41	13	13	13	NUM
bibechana-4046	41	14	)	)	PUNCT
bibechana-4046	41	15	q3	q3	NOUN
bibechana-4046	41	16	=	=	SYM
bibechana-4046	41	17	]	]	SYM
bibechana-4046	41	18	2	2	X
bibechana-4046	41	19	)	)	PUNCT
bibechana-4046	41	20	(	(	PUNCT
bibechana-4046	41	21	sin	sin	NOUN
bibechana-4046	41	22	[	[	X
bibechana-4046	41	23	)	)	PUNCT
bibechana-4046	41	24	2	2	NUM
bibechana-4046	41	25	cos	cos	PROPN
bibechana-4046	41	26	(	(	PUNCT
bibechana-4046	41	27	nti	nti	NOUN
bibechana-4046	41	28	r	r	NOUN
bibechana-4046	41	29	−+ω	−+ω	PROPN
bibechana-4046	41	30	σ	σ	X
bibechana-4046	41	31	q4	q4	PROPN
bibechana-4046	41	32	=	=	X
bibechana-4046	41	33	]	]	SYM
bibechana-4046	41	34	2	2	X
bibechana-4046	41	35	)	)	PUNCT
bibechana-4046	41	36	(	(	PUNCT
bibechana-4046	41	37	cos	cos	PROPN
bibechana-4046	41	38	[	[	X
bibechana-4046	41	39	)	)	PUNCT
bibechana-4046	41	40	2	2	NUM
bibechana-4046	41	41	cos	cos	PROPN
bibechana-4046	41	42	(	(	PUNCT
bibechana-4046	41	43	nti	nti	X
bibechana-4046	41	44	r	r	NOUN
bibechana-4046	41	45	−+ω	−+ω	PROPN
bibechana-4046	41	46	σ	σ	X
bibechana-4046	41	47	where	where	SCONJ
bibechana-4046	41	48	r	r	NOUN
bibechana-4046	41	49	=	=	SYM
bibechana-4046	41	50	(	(	PUNCT
bibechana-4046	41	51	y1	y1	INTJ
bibechana-4046	41	52	2	2	NUM
bibechana-4046	41	53	+	+	CCONJ
bibechana-4046	41	54	y2	y2	NOUN
bibechana-4046	41	55	2	2	NUM
bibechana-4046	41	56	+	+	NOUN
bibechana-4046	41	57	y3	y3	NOUN
bibechana-4046	41	58	2	2	NUM
bibechana-4046	41	59	)	)	PUNCT
bibechana-4046	41	60	½	½	NOUN
bibechana-4046	41	61	=	=	SYM
bibechana-4046	41	62	q1	q1	PROPN
bibechana-4046	41	63	2	2	NUM
bibechana-4046	41	64	+	+	NUM
bibechana-4046	41	65	q2	q2	NOUN
bibechana-4046	41	66	2	2	NUM
bibechana-4046	41	67	+	+	CCONJ
bibechana-4046	41	68	q3	q3	NOUN
bibechana-4046	41	69	2	2	NUM
bibechana-4046	41	70	+	+	CCONJ
bibechana-4046	41	71	x4	x4	PROPN
bibechana-4046	41	72	2	2	NUM
bibechana-4046	41	73	=	=	SYM
bibechana-4046	41	74	(	(	PUNCT
bibechana-4046	41	75	q	q	NOUN
bibechana-4046	41	76	,	,	PUNCT
bibechana-4046	41	77	q	q	NOUN
bibechana-4046	41	78	)	)	PUNCT
bibechana-4046	41	79	(	(	PUNCT
bibechana-4046	41	80	14	14	NUM
bibechana-4046	41	81	)	)	PUNCT
bibechana-4046	41	82	from	from	ADP
bibechana-4046	41	83	symbolic	symbolic	ADJ
bibechana-4046	41	84	representations	representation	NOUN
bibechana-4046	41	85	,	,	PUNCT
bibechana-4046	41	86	we	we	PRON
bibechana-4046	41	87	have	have	VERB
bibechana-4046	41	88	φωσ	φωσ	NOUN
bibechana-4046	41	89	+	+	NOUN
bibechana-4046	41	90	=	=	SYM
bibechana-4046	41	91	where	where	SCONJ
bibechana-4046	41	92	ω	ω	PROPN
bibechana-4046	41	93	is	be	AUX
bibechana-4046	41	94	the	the	DET
bibechana-4046	41	95	constant	constant	ADJ
bibechana-4046	41	96	orbital	orbital	ADJ
bibechana-4046	41	97	element	element	NOUN
bibechana-4046	41	98	.	.	PUNCT
bibechana-4046	42	1	i.e.	i.e.	X
bibechana-4046	42	2	.	.	PUNCT
bibechana-4046	42	3	.	.	PUNCT
bibechana-4046	43	1	σ	σ	NOUN
bibechana-4046	43	2	φ=	φ=	NOUN
bibechana-4046	43	3	3	3	NUM
bibechana-4046	43	4	.	.	PUNCT
bibechana-4046	44	1	derivation	derivation	NOUN
bibechana-4046	44	2	of	of	ADP
bibechana-4046	44	3	the	the	DET
bibechana-4046	44	4	generalized	generalized	ADJ
bibechana-4046	44	5	momenta	momenta	NOUN
bibechana-4046	44	6	corresponding	corresponding	NOUN
bibechana-4046	44	7	to	to	ADP
bibechana-4046	44	8	synodic	synodic	ADJ
bibechana-4046	44	9	ks	ks	PROPN
bibechana-4046	44	10	–	–	PUNCT
bibechana-4046	44	11	variables	variable	VERB
bibechana-4046	44	12	the	the	DET
bibechana-4046	44	13	set	set	NOUN
bibechana-4046	44	14	of	of	ADP
bibechana-4046	44	15	synodic	synodic	ADJ
bibechana-4046	44	16	ks	ks	PROPN
bibechana-4046	44	17	–	–	PUNCT
bibechana-4046	44	18	variables	variable	NOUN
bibechana-4046	44	19	given	give	VERB
bibechana-4046	44	20	in	in	ADP
bibechana-4046	44	21	eq.(13	eq.(13	ADJ
bibechana-4046	44	22	)	)	PUNCT
bibechana-4046	44	23	acquire	acquire	VERB
bibechana-4046	44	24	great	great	ADJ
bibechana-4046	44	25	importance	importance	NOUN
bibechana-4046	44	26	,	,	PUNCT
bibechana-4046	44	27	while	while	SCONJ
bibechana-4046	44	28	studying	study	VERB
bibechana-4046	44	29	the	the	DET
bibechana-4046	44	30	motion	motion	NOUN
bibechana-4046	44	31	of	of	ADP
bibechana-4046	44	32	an	an	DET
bibechana-4046	44	33	infinitesimal	infinitesimal	ADJ
bibechana-4046	44	34	mass	mass	NOUN
bibechana-4046	44	35	in	in	ADP
bibechana-4046	44	36	synodic	synodic	ADJ
bibechana-4046	44	37	frame	frame	NOUN
bibechana-4046	44	38	of	of	ADP
bibechana-4046	44	39	reference	reference	NOUN
bibechana-4046	44	40	.	.	PUNCT
bibechana-4046	45	1	moreover	moreover	ADV
bibechana-4046	45	2	,	,	PUNCT
bibechana-4046	45	3	in	in	ADP
bibechana-4046	45	4	hamiltonian	hamiltonian	ADJ
bibechana-4046	45	5	dynamics	dynamic	NOUN
bibechana-4046	45	6	,	,	PUNCT
bibechana-4046	45	7	the	the	DET
bibechana-4046	45	8	generalized	generalized	ADJ
bibechana-4046	45	9	momenta	momenta	NOUN
bibechana-4046	45	10	corresponding	corresponding	NOUN
bibechana-4046	45	11	to	to	ADP
bibechana-4046	45	12	the	the	DET
bibechana-4046	45	13	generalized	generalize	VERB
bibechana-4046	45	14	coordinates	coordinate	NOUN
bibechana-4046	45	15	are	be	AUX
bibechana-4046	45	16	also	also	ADV
bibechana-4046	45	17	of	of	ADP
bibechana-4046	45	18	great	great	ADJ
bibechana-4046	45	19	importance	importance	NOUN
bibechana-4046	45	20	,	,	PUNCT
bibechana-4046	45	21	so	so	CCONJ
bibechana-4046	45	22	here	here	ADV
bibechana-4046	45	23	we	we	PRON
bibechana-4046	45	24	need	need	VERB
bibechana-4046	45	25	to	to	PART
bibechana-4046	45	26	establish	establish	VERB
bibechana-4046	45	27	the	the	DET
bibechana-4046	45	28	generalized	generalized	ADJ
bibechana-4046	45	29	momenta	momenta	NOUN
bibechana-4046	45	30	corresponding	corresponding	NOUN
bibechana-4046	45	31	to	to	ADP
bibechana-4046	45	32	the	the	DET
bibechana-4046	45	33	synodic	synodic	ADJ
bibechana-4046	45	34	ks	ks	PROPN
bibechana-4046	45	35	–	–	PUNCT
bibechana-4046	45	36	variables	variable	NOUN
bibechana-4046	45	37	in	in	ADP
bibechana-4046	45	38	terms	term	NOUN
bibechana-4046	45	39	of	of	ADP
bibechana-4046	45	40	orbital	orbital	ADJ
bibechana-4046	45	41	elements	element	NOUN
bibechana-4046	45	42	i	i	PRON
bibechana-4046	45	43	,	,	PUNCT
bibechana-4046	45	44	σ	σ	PROPN
bibechana-4046	45	45	,	,	PUNCT
bibechana-4046	45	46	ω	ω	NUM
bibechana-4046	45	47	etc	etc	X
bibechana-4046	45	48	.	.	X
bibechana-4046	46	1	if	if	SCONJ
bibechana-4046	46	2	x	x	PRON
bibechana-4046	46	3	=	=	PRON
bibechana-4046	46	4	(	(	PUNCT
bibechana-4046	46	5	x1	x1	PROPN
bibechana-4046	46	6	,	,	PUNCT
bibechana-4046	46	7	x2	x2	PROPN
bibechana-4046	46	8	,	,	PUNCT
bibechana-4046	46	9	x3	x3	ADJ
bibechana-4046	46	10	)	)	PUNCT
bibechana-4046	46	11	are	be	AUX
bibechana-4046	46	12	the	the	DET
bibechana-4046	46	13	momenta	momenta	NOUN
bibechana-4046	46	14	corresponding	corresponding	NOUN
bibechana-4046	46	15	to	to	PART
bibechana-4046	46	16	sidereal	sidereal	VERB
bibechana-4046	46	17	physical	physical	ADJ
bibechana-4046	46	18	coordinates	coordinate	NOUN
bibechana-4046	46	19	x	x	PUNCT
bibechana-4046	46	20	=	=	SYM
bibechana-4046	46	21	(	(	PUNCT
bibechana-4046	46	22	x1	x1	PROPN
bibechana-4046	46	23	,	,	PUNCT
bibechana-4046	46	24	x2	x2	PROPN
bibechana-4046	46	25	,	,	PUNCT
bibechana-4046	46	26	x3	x3	ADJ
bibechana-4046	46	27	)	)	PUNCT
bibechana-4046	46	28	and	and	CCONJ
bibechana-4046	46	29	p	p	NOUN
bibechana-4046	46	30	=	=	SYM
bibechana-4046	46	31	(	(	PUNCT
bibechana-4046	46	32	p1	p1	PROPN
bibechana-4046	46	33	,	,	PUNCT
bibechana-4046	46	34	p2	p2	NOUN
bibechana-4046	46	35	,	,	PUNCT
bibechana-4046	46	36	p3	p3	NOUN
bibechana-4046	46	37	,	,	PUNCT
bibechana-4046	46	38	p4	p4	ADJ
bibechana-4046	46	39	)	)	PUNCT
bibechana-4046	46	40	are	be	AUX
bibechana-4046	46	41	the	the	DET
bibechana-4046	46	42	generalized	generalized	ADJ
bibechana-4046	46	43	momenta	momenta	NOUN
bibechana-4046	46	44	corresponding	corresponding	NOUN
bibechana-4046	46	45	to	to	PART
bibechana-4046	46	46	sidereal	sidereal	VERB
bibechana-4046	46	47	parametric	parametric	ADJ
bibechana-4046	46	48	coordinates	coordinate	NOUN
bibechana-4046	46	49	u	u	NOUN
bibechana-4046	46	50	=	=	PUNCT
bibechana-4046	46	51	(	(	PUNCT
bibechana-4046	46	52	u1	u1	PROPN
bibechana-4046	46	53	u2	u2	PROPN
bibechana-4046	46	54	u3	u3	PROPN
bibechana-4046	46	55	u4	u4	PROPN
bibechana-4046	46	56	)	)	PUNCT
bibechana-4046	46	57	,	,	PUNCT
bibechana-4046	46	58	then	then	ADV
bibechana-4046	46	59	momenta	momenta	NOUN
bibechana-4046	46	60	transformation	transformation	NOUN
bibechana-4046	46	61	is	be	AUX
bibechana-4046	46	62	given	give	VERB
bibechana-4046	46	63	by	by	ADP
bibechana-4046	46	64	the	the	DET
bibechana-4046	46	65	single	single	ADJ
bibechana-4046	46	66	matrix	matrix	NOUN
bibechana-4046	46	67	equation	equation	NOUN
bibechana-4046	46	68	:	:	PUNCT
bibechana-4046	47	1	x	x	SYM
bibechana-4046	47	2	=	=	SYM
bibechana-4046	47	3	(	(	PUNCT
bibechana-4046	47	4	1/2r	1/2r	NUM
bibechana-4046	47	5	)	)	PUNCT
bibechana-4046	47	6	l(u	l(u	PROPN
bibechana-4046	47	7	)	)	PUNCT
bibechana-4046	47	8	p	p	X
bibechana-4046	47	9	(	(	PUNCT
bibechana-4046	47	10	15	15	NUM
bibechana-4046	47	11	)	)	PUNCT
bibechana-4046	47	12	explicitly	explicitly	ADV
bibechana-4046	47	13	x1	x1	PROPN
bibechana-4046	47	14	=	=	SYM
bibechana-4046	47	15	2r	2r	NUM
bibechana-4046	47	16	)	)	PUNCT
bibechana-4046	47	17	up	up	ADP
bibechana-4046	47	18	+	+	CCONJ
bibechana-4046	47	19	up	up	ADV
bibechana-4046	47	20	up	up	ADP
bibechana-4046	47	21	u(p	u(p	NOUN
bibechana-4046	47	22	44332211	44332211	NUM
bibechana-4046	47	23	x2	x2	NOUN
bibechana-4046	47	24	=	=	SYM
bibechana-4046	47	25	2r	2r	NUM
bibechana-4046	47	26	)	)	PUNCT
bibechana-4046	47	27	up	up	ADP
bibechana-4046	47	28	up	up	ADP
bibechana-4046	47	29	up	up	ADP
bibechana-4046	47	30	u(p	u(p	NOUN
bibechana-4046	47	31	34431221	34431221	NUM
bibechana-4046	47	32	+	+	SYM
bibechana-4046	47	33	(	(	PUNCT
bibechana-4046	47	34	16	16	NUM
bibechana-4046	47	35	)	)	PUNCT
bibechana-4046	48	1	x3	x3	NOUN
bibechana-4046	48	2	=	=	SYM
bibechana-4046	48	3	2r	2r	NUM
bibechana-4046	48	4	)	)	PUNCT
bibechana-4046	48	5	up	up	ADP
bibechana-4046	48	6	+	+	CCONJ
bibechana-4046	48	7	up	up	ADV
bibechana-4046	48	8	up	up	ADP
bibechana-4046	48	9	u(p	u(p	NOUN
bibechana-4046	48	10	24134231	24134231	NUM
bibechana-4046	48	11	+	+	NOUN
bibechana-4046	48	12	+	+	NUM
bibechana-4046	48	13	and	and	CCONJ
bibechana-4046	48	14	t	t	PROPN
bibechana-4046	48	15	(	(	PUNCT
bibechana-4046	48	16	p	p	X
bibechana-4046	48	17	,	,	PUNCT
bibechana-4046	48	18	u	u	NOUN
bibechana-4046	48	19	)	)	PUNCT
bibechana-4046	48	20	=	=	SYM
bibechana-4046	49	1	p1u4	p1u4	X
bibechana-4046	49	2	–	–	PUNCT
bibechana-4046	49	3	p2u3	p2u3	X
bibechana-4046	49	4	+	+	CCONJ
bibechana-4046	49	5	p3u2	p3u2	ADJ
bibechana-4046	49	6	p4u1	p4u1	X
bibechana-4046	49	7	=	=	SYM
bibechana-4046	49	8	0	0	NUM
bibechana-4046	49	9	(	(	PUNCT
bibechana-4046	49	10	17	17	NUM
bibechana-4046	49	11	)	)	PUNCT
bibechana-4046	49	12	the	the	DET
bibechana-4046	49	13	bilinear	bilinear	PROPN
bibechana-4046	49	14	relation	relation	NOUN
bibechana-4046	49	15	(	(	PUNCT
bibechana-4046	49	16	16	16	NUM
bibechana-4046	49	17	)	)	PUNCT
bibechana-4046	49	18	plays	play	VERB
bibechana-4046	49	19	an	an	DET
bibechana-4046	49	20	important	important	ADJ
bibechana-4046	49	21	key	key	ADJ
bibechana-4046	49	22	role	role	NOUN
bibechana-4046	49	23	in	in	ADP
bibechana-4046	49	24	the	the	DET
bibechana-4046	49	25	above	above	ADJ
bibechana-4046	49	26	representations	representation	NOUN
bibechana-4046	49	27	.	.	PUNCT
bibechana-4046	50	1	the	the	DET
bibechana-4046	50	2	inverse	inverse	ADJ
bibechana-4046	50	3	transformation	transformation	NOUN
bibechana-4046	50	4	of	of	ADP
bibechana-4046	50	5	(	(	PUNCT
bibechana-4046	50	6	15	15	NUM
bibechana-4046	50	7	)	)	PUNCT
bibechana-4046	50	8	is	be	AUX
bibechana-4046	50	9	given	give	VERB
bibechana-4046	50	10	as	as	ADP
bibechana-4046	50	11	:	:	PUNCT
bibechana-4046	50	12	p	p	X
bibechana-4046	50	13	=	=	SYM
bibechana-4046	50	14	2h	2h	NUM
bibechana-4046	50	15	(	(	PUNCT
bibechana-4046	50	16	u	u	NOUN
bibechana-4046	50	17	)	)	PUNCT
bibechana-4046	50	18	x	x	SYM
bibechana-4046	50	19	(	(	PUNCT
bibechana-4046	50	20	18	18	NUM
bibechana-4046	50	21	)	)	PUNCT
bibechana-4046	50	22	m.r	m.r	PROPN
bibechana-4046	50	23	.	.	PROPN
bibechana-4046	50	24	hassan	hassan	PROPN
bibechana-4046	50	25	and	and	CCONJ
bibechana-4046	50	26	r.r	r.r	PROPN
bibechana-4046	50	27	.	.	PROPN
bibechana-4046	50	28	thapa	thapa	PROPN
bibechana-4046	50	29	/	/	SYM
bibechana-4046	50	30	bibechana	bibechana	PROPN
bibechana-4046	50	31	7	7	NUM
bibechana-4046	50	32	(	(	PUNCT
bibechana-4046	50	33	2011	2011	NUM
bibechana-4046	50	34	)	)	PUNCT
bibechana-4046	50	35	54	54	NUM
bibechana-4046	50	36	-	-	SYM
bibechana-4046	50	37	60	60	NUM
bibechana-4046	50	38	:	:	PUNCT
bibechana-4046	50	39	bmhss	bmhss	PROPN
bibechana-4046	50	40	57	57	NUM
bibechana-4046	50	41	.	.	PUNCT
bibechana-4046	50	42	.	.	PUNCT
bibechana-4046	50	43	.	.	PUNCT
bibechana-4046	50	44	.	.	PUNCT
bibechana-4046	50	45	.	.	PUNCT
bibechana-4046	50	46	.	.	PUNCT
bibechana-4046	50	47	.	.	PUNCT
bibechana-4046	50	48	.	.	PUNCT
bibechana-4046	50	49	.	.	PUNCT
bibechana-4046	50	50	.	.	PUNCT
bibechana-4046	51	1	explicitly	explicitly	ADV
bibechana-4046	51	2	from	from	ADP
bibechana-4046	51	3	eqs	eqs	PROPN
bibechana-4046	51	4	.	.	PUNCT
bibechana-4046	52	1	(	(	PUNCT
bibechana-4046	52	2	3	3	X
bibechana-4046	52	3	)	)	PUNCT
bibechana-4046	52	4	and	and	CCONJ
bibechana-4046	52	5	(	(	PUNCT
bibechana-4046	52	6	15	15	X
bibechana-4046	52	7	)	)	PUNCT
bibechana-4046	52	8	p1	p1	NOUN
bibechana-4046	52	9	=	=	PUNCT
bibechana-4046	53	1	2(x1u1	2(x1u1	NUM
bibechana-4046	53	2	+	+	CCONJ
bibechana-4046	53	3	x2u2	x2u2	PUNCT
bibechana-4046	54	1	+	+	NUM
bibechana-4046	54	2	x3u3	x3u3	NOUN
bibechana-4046	54	3	)	)	PUNCT
bibechana-4046	54	4	p2	p2	PROPN
bibechana-4046	54	5	=	=	SYM
bibechana-4046	54	6	2(-x1u2	2(-x1u2	NOUN
bibechana-4046	55	1	+	+	CCONJ
bibechana-4046	55	2	x2u1	x2u1	PUNCT
bibechana-4046	55	3	+	+	NUM
bibechana-4046	55	4	x3u4	x3u4	NUM
bibechana-4046	55	5	)	)	PUNCT
bibechana-4046	55	6	(	(	PUNCT
bibechana-4046	55	7	19	19	NUM
bibechana-4046	55	8	)	)	PUNCT
bibechana-4046	55	9	p3	p3	NOUN
bibechana-4046	55	10	=	=	PUNCT
bibechana-4046	55	11	2(-x1u3	2(-x1u3	NOUN
bibechana-4046	55	12	+	+	CCONJ
bibechana-4046	55	13	x2u4	x2u4	X
bibechana-4046	55	14	+	+	CCONJ
bibechana-4046	55	15	x3u1	x3u1	X
bibechana-4046	55	16	)	)	PUNCT
bibechana-4046	55	17	p4	p4	NOUN
bibechana-4046	55	18	=	=	NOUN
bibechana-4046	56	1	2(x1u4	2(x1u4	NUM
bibechana-4046	57	1	x2u3	x2u3	PUNCT
bibechana-4046	57	2	+	+	NUM
bibechana-4046	57	3	x3u2	x3u2	SYM
bibechana-4046	57	4	)	)	PUNCT
bibechana-4046	57	5	suppose	suppose	VERB
bibechana-4046	57	6	that	that	SCONJ
bibechana-4046	57	7	y	y	PROPN
bibechana-4046	57	8	=	=	SYM
bibechana-4046	57	9	(	(	PUNCT
bibechana-4046	57	10	y1	y1	PROPN
bibechana-4046	57	11	,	,	PUNCT
bibechana-4046	57	12	y2	y2	PROPN
bibechana-4046	57	13	,	,	PUNCT
bibechana-4046	57	14	y3	y3	PROPN
bibechana-4046	57	15	)	)	PUNCT
bibechana-4046	57	16	are	be	AUX
bibechana-4046	57	17	the	the	DET
bibechana-4046	57	18	momenta	momenta	NOUN
bibechana-4046	57	19	is	be	AUX
bibechana-4046	57	20	synodic	synodic	ADJ
bibechana-4046	57	21	system	system	NOUN
bibechana-4046	57	22	corresponding	correspond	VERB
bibechana-4046	57	23	to	to	ADP
bibechana-4046	57	24	y	y	PROPN
bibechana-4046	57	25	=	=	SYM
bibechana-4046	57	26	(	(	PUNCT
bibechana-4046	57	27	y1	y1	PROPN
bibechana-4046	57	28	,	,	PUNCT
bibechana-4046	57	29	y2	y2	PROPN
bibechana-4046	57	30	,	,	PUNCT
bibechana-4046	57	31	y3	y3	PROPN
bibechana-4046	57	32	)	)	PUNCT
bibechana-4046	57	33	,	,	PUNCT
bibechana-4046	57	34	then	then	ADV
bibechana-4046	57	35	from	from	ADP
bibechana-4046	57	36	the	the	DET
bibechana-4046	57	37	definition	definition	NOUN
bibechana-4046	57	38	of	of	ADP
bibechana-4046	57	39	momenta	momenta	NOUN
bibechana-4046	57	40	y1	y1	NOUN
bibechana-4046	57	41	=	=	PUNCT
bibechana-4046	57	42	.	.	PUNCT
bibechana-4046	58	1	1	1	NUM
bibechana-4046	58	2	2y	2y	PROPN
bibechana-4046	58	3	ny−	ny−	NOUN
bibechana-4046	58	4	,	,	PUNCT
bibechana-4046	58	5	y2	y2	PROPN
bibechana-4046	58	6	=	=	PUNCT
bibechana-4046	58	7	.	.	PUNCT
bibechana-4046	58	8	2	2	NUM
bibechana-4046	58	9	1y	1y	NUM
bibechana-4046	58	10	ny+	ny+	NOUN
bibechana-4046	58	11	+	+	CCONJ
bibechana-4046	58	12	ny1	ny1	PROPN
bibechana-4046	58	13	,	,	PUNCT
bibechana-4046	58	14	y3	y3	NOUN
bibechana-4046	58	15	=	=	PUNCT
bibechana-4046	58	16	.	.	PUNCT
bibechana-4046	59	1	3y	3y	NUM
bibechana-4046	59	2	(	(	PUNCT
bibechana-4046	59	3	20	20	NUM
bibechana-4046	59	4	)	)	PUNCT
bibechana-4046	59	5	from	from	ADP
bibechana-4046	59	6	eqs	eqs	PROPN
bibechana-4046	59	7	.	.	PUNCT
bibechana-4046	60	1	(	(	PUNCT
bibechana-4046	60	2	7	7	NUM
bibechana-4046	60	3	)	)	PUNCT
bibechana-4046	60	4	and	and	CCONJ
bibechana-4046	60	5	(	(	PUNCT
bibechana-4046	60	6	20	20	X
bibechana-4046	60	7	)	)	PUNCT
bibechana-4046	60	8	we	we	PRON
bibechana-4046	60	9	get	get	VERB
bibechana-4046	60	10	y1	y1	ADJ
bibechana-4046	60	11	=	=	PUNCT
bibechana-4046	60	12	.	.	PUNCT
bibechana-4046	61	1	2	2	NUM
bibechana-4046	61	2	2[sin	2[sin	NUM
bibechana-4046	61	3	(	(	PUNCT
bibechana-4046	61	4	)	)	PUNCT
bibechana-4046	61	5	sin	sin	NOUN
bibechana-4046	61	6	(	(	PUNCT
bibechana-4046	61	7	)	)	PUNCT
bibechana-4046	61	8	cos	cos	PROPN
bibechana-4046	61	9	(	(	PUNCT
bibechana-4046	61	10	)	)	PUNCT
bibechana-4046	61	11	sin	sin	NOUN
bibechana-4046	61	12	(	(	PUNCT
bibechana-4046	61	13	)	)	PUNCT
bibechana-4046	61	14	2	2	NUM
bibechana-4046	61	15	2	2	NUM
bibechana-4046	61	16	i	i	PRON
bibechana-4046	62	1	i	i	PRON
bibechana-4046	62	2	nt	not	PART
bibechana-4046	62	3	ntσ	ntσ	PROPN
bibechana-4046	62	4	σ	σ	X
bibechana-4046	62	5	σω	σω	VERB
bibechana-4046	62	6	−	−	PROPN
bibechana-4046	62	7	−	−	PROPN
bibechana-4046	62	8	−	−	PROPN
bibechana-4046	62	9	ω	ω	PROPN
bibechana-4046	63	1	+	+	CCONJ
bibechana-4046	63	2	−	−	PROPN
bibechana-4046	63	3	y2	y2	PROPN
bibechana-4046	63	4	=	=	PUNCT
bibechana-4046	63	5	.	.	PUNCT
bibechana-4046	64	1	σ	σ	NOUN
bibechana-4046	64	2	2	2	NUM
bibechana-4046	64	3	2[sin	2[sin	NUM
bibechana-4046	64	4	(	(	PUNCT
bibechana-4046	64	5	)	)	PUNCT
bibechana-4046	64	6	cos	cos	PROPN
bibechana-4046	64	7	(	(	PUNCT
bibechana-4046	64	8	)	)	PUNCT
bibechana-4046	64	9	cos	cos	PROPN
bibechana-4046	64	10	(	(	PUNCT
bibechana-4046	64	11	)	)	PUNCT
bibechana-4046	64	12	cos	cos	PROPN
bibechana-4046	64	13	(	(	PUNCT
bibechana-4046	64	14	)	)	PUNCT
bibechana-4046	64	15	2	2	NUM
bibechana-4046	64	16	2	2	NUM
bibechana-4046	65	1	i	i	PRON
bibechana-4046	65	2	i	i	PRON
bibechana-4046	65	3	nt	not	PART
bibechana-4046	65	4	ntσ	ntσ	X
bibechana-4046	65	5	σω	σω	VERB
bibechana-4046	65	6	−	−	PROPN
bibechana-4046	65	7	−	−	PROPN
bibechana-4046	66	1	+	+	NUM
bibechana-4046	66	2	ω	ω	PROPN
bibechana-4046	66	3	+	+	CCONJ
bibechana-4046	66	4	−	−	PROPN
bibechana-4046	66	5	(	(	PUNCT
bibechana-4046	66	6	21	21	NUM
bibechana-4046	66	7	)	)	PUNCT
bibechana-4046	66	8	y3	y3	NOUN
bibechana-4046	66	9	=	=	PUNCT
bibechana-4046	66	10	.	.	PUNCT
bibechana-4046	67	1	σ	σ	PROPN
bibechana-4046	67	2	sin	sin	NOUN
bibechana-4046	68	1	i	i	PROPN
bibechana-4046	68	2	cos	cos	PROPN
bibechana-4046	68	3	σ	σ	PROPN
bibechana-4046	68	4	if	if	SCONJ
bibechana-4046	68	5	q	q	X
bibechana-4046	68	6	=	=	SYM
bibechana-4046	68	7	(	(	PUNCT
bibechana-4046	68	8	q1	q1	PROPN
bibechana-4046	68	9	,	,	PUNCT
bibechana-4046	68	10	q2	q2	NOUN
bibechana-4046	68	11	,	,	PUNCT
bibechana-4046	68	12	q3	q3	PROPN
bibechana-4046	68	13	,	,	PUNCT
bibechana-4046	68	14	q4	q4	PROPN
bibechana-4046	68	15	)	)	PUNCT
bibechana-4046	68	16	are	be	AUX
bibechana-4046	68	17	the	the	DET
bibechana-4046	68	18	generalized	generalized	ADJ
bibechana-4046	68	19	momenta	momenta	NOUN
bibechana-4046	68	20	in	in	ADP
bibechana-4046	68	21	synodic	synodic	ADJ
bibechana-4046	68	22	system	system	NOUN
bibechana-4046	68	23	corresponding	correspond	VERB
bibechana-4046	68	24	to	to	ADP
bibechana-4046	68	25	q	q	PROPN
bibechana-4046	68	26	=	=	SYM
bibechana-4046	68	27	(	(	PUNCT
bibechana-4046	68	28	q1	q1	PROPN
bibechana-4046	68	29	,	,	PUNCT
bibechana-4046	68	30	q2	q2	NOUN
bibechana-4046	68	31	,	,	PUNCT
bibechana-4046	68	32	q3	q3	PROPN
bibechana-4046	68	33	,	,	PUNCT
bibechana-4046	68	34	q4	q4	PROPN
bibechana-4046	68	35	)	)	PUNCT
bibechana-4046	68	36	,	,	PUNCT
bibechana-4046	68	37	then	then	ADV
bibechana-4046	68	38	with	with	ADP
bibechana-4046	68	39	the	the	DET
bibechana-4046	68	40	help	help	NOUN
bibechana-4046	68	41	of	of	ADP
bibechana-4046	68	42	eq.(18	eq.(18	NOUN
bibechana-4046	68	43	)	)	PUNCT
bibechana-4046	68	44	,	,	PUNCT
bibechana-4046	68	45	the	the	DET
bibechana-4046	68	46	value	value	NOUN
bibechana-4046	68	47	of	of	ADP
bibechana-4046	68	48	qj	qj	PROPN
bibechana-4046	68	49	s	s	PART
bibechana-4046	68	50	may	may	AUX
bibechana-4046	68	51	be	be	AUX
bibechana-4046	68	52	represented	represent	VERB
bibechana-4046	68	53	as	as	ADP
bibechana-4046	68	54	:	:	PUNCT
bibechana-4046	68	55	q	q	X
bibechana-4046	68	56	=	=	SYM
bibechana-4046	68	57	2h	2h	NUM
bibechana-4046	68	58	(	(	PUNCT
bibechana-4046	68	59	q	q	NOUN
bibechana-4046	68	60	)	)	PUNCT
bibechana-4046	68	61	y	y	PROPN
bibechana-4046	68	62	(	(	PUNCT
bibechana-4046	68	63	22	22	NUM
bibechana-4046	68	64	)	)	PUNCT
bibechana-4046	68	65	therefore	therefore	ADV
bibechana-4046	68	66	,	,	PUNCT
bibechana-4046	68	67	q1	q1	PROPN
bibechana-4046	68	68	=	=	SYM
bibechana-4046	68	69	2(y1q1	2(y1q1	NUM
bibechana-4046	69	1	+	+	NUM
bibechana-4046	69	2	y2q2	y2q2	NOUN
bibechana-4046	69	3	+	+	NUM
bibechana-4046	69	4	y3q3	y3q3	NOUN
bibechana-4046	69	5	)	)	PUNCT
bibechana-4046	69	6	=	=	PUNCT
bibechana-4046	69	7	.	.	PUNCT
bibechana-4046	70	1	(	(	PUNCT
bibechana-4046	70	2	)	)	PUNCT
bibechana-4046	70	3	2	2	NUM
bibechana-4046	70	4	sin	sin	NOUN
bibechana-4046	70	5	(	(	PUNCT
bibechana-4046	70	6	)	)	PUNCT
bibechana-4046	70	7	sin	sin	NOUN
bibechana-4046	70	8	[	[	PUNCT
bibechana-4046	70	9	]	]	X
bibechana-4046	70	10	2	2	NUM
bibechana-4046	70	11	2	2	NUM
bibechana-4046	71	1	i	i	PRON
bibechana-4046	71	2	nt	not	PART
bibechana-4046	71	3	r	r	PROPN
bibechana-4046	71	4	σ	σ	PROPN
bibechana-4046	71	5	σ	σ	PROPN
bibechana-4046	71	6	ω	ω	PROPN
bibechana-4046	71	7	−	−	PROPN
bibechana-4046	71	8	−	−	PROPN
bibechana-4046	71	9	=	=	PUNCT
bibechana-4046	71	10	.	.	PUNCT
bibechana-4046	72	1	2σ	2σ	PROPN
bibechana-4046	72	2	q2	q2	NOUN
bibechana-4046	72	3	(	(	PUNCT
bibechana-4046	72	4	23	23	NUM
bibechana-4046	72	5	)	)	PUNCT
bibechana-4046	72	6	therefore	therefore	ADV
bibechana-4046	72	7	,	,	PUNCT
bibechana-4046	72	8	q1	q1	PROPN
bibechana-4046	72	9	=	=	PUNCT
bibechana-4046	72	10	.	.	PUNCT
bibechana-4046	73	1	2σ	2σ	PROPN
bibechana-4046	73	2	q2	q2	PROPN
bibechana-4046	73	3	,	,	PUNCT
bibechana-4046	73	4	q2	q2	PROPN
bibechana-4046	73	5	=	=	PUNCT
bibechana-4046	73	6	.	.	PUNCT
bibechana-4046	74	1	2σ	2σ	PROPN
bibechana-4046	74	2	q1	q1	PROPN
bibechana-4046	74	3	,	,	PUNCT
bibechana-4046	74	4	q3	q3	PROPN
bibechana-4046	74	5	=	=	PUNCT
bibechana-4046	74	6	.	.	PUNCT
bibechana-4046	75	1	2σ	2σ	PROPN
bibechana-4046	75	2	q4	q4	PROPN
bibechana-4046	75	3	,	,	PUNCT
bibechana-4046	75	4	q4	q4	PROPN
bibechana-4046	75	5	=	=	PROPN
bibechana-4046	75	6	σ2	σ2	PROPN
bibechana-4046	75	7	q3	q3	PROPN
bibechana-4046	75	8	the	the	DET
bibechana-4046	75	9	set	set	NOUN
bibechana-4046	75	10	of	of	ADP
bibechana-4046	75	11	variables	variable	NOUN
bibechana-4046	75	12	qj	qj	PROPN
bibechana-4046	75	13	s	s	PART
bibechana-4046	75	14	and	and	CCONJ
bibechana-4046	75	15	qj	qj	PROPN
bibechana-4046	75	16	s	s	PART
bibechana-4046	75	17	satisfy	satisfy	NOUN
bibechana-4046	75	18	the	the	DET
bibechana-4046	75	19	bilinear	bilinear	PROPN
bibechana-4046	75	20	relation	relation	PROPN
bibechana-4046	75	21	t(q	t(q	PROPN
bibechana-4046	75	22	,	,	PUNCT
bibechana-4046	75	23	q	q	NOUN
bibechana-4046	75	24	)	)	PUNCT
bibechana-4046	75	25	=	=	SYM
bibechana-4046	75	26	q1q4	q1q4	NUM
bibechana-4046	75	27	–	–	PUNCT
bibechana-4046	75	28	q2q3	q2q3	X
bibechana-4046	76	1	+	+	CCONJ
bibechana-4046	76	2	q3q2	q3q2	X
bibechana-4046	76	3	–	–	PUNCT
bibechana-4046	76	4	q4q1	q4q1	PROPN
bibechana-4046	76	5	=	=	SYM
bibechana-4046	76	6	o	o	X
bibechana-4046	76	7	(	(	PUNCT
bibechana-4046	76	8	24	24	NUM
bibechana-4046	76	9	)	)	PUNCT
bibechana-4046	76	10	thus	thus	ADV
bibechana-4046	76	11	in	in	ADP
bibechana-4046	76	12	both	both	CCONJ
bibechana-4046	76	13	the	the	DET
bibechana-4046	76	14	systems	system	NOUN
bibechana-4046	76	15	t	t	PROPN
bibechana-4046	76	16	(	(	PUNCT
bibechana-4046	76	17	p	p	X
bibechana-4046	76	18	,	,	PUNCT
bibechana-4046	76	19	u	u	NOUN
bibechana-4046	76	20	)	)	PUNCT
bibechana-4046	76	21	and	and	CCONJ
bibechana-4046	76	22	t	t	PROPN
bibechana-4046	76	23	(	(	PUNCT
bibechana-4046	76	24	q	q	NOUN
bibechana-4046	76	25	,	,	PUNCT
bibechana-4046	76	26	q	q	X
bibechana-4046	76	27	)	)	PUNCT
bibechana-4046	76	28	are	be	AUX
bibechana-4046	76	29	invariant	invariant	ADJ
bibechana-4046	76	30	.	.	PUNCT
bibechana-4046	77	1	also	also	ADV
bibechana-4046	77	2	|q|	|q|	VERB
bibechana-4046	77	3	2	2	NUM
bibechana-4046	77	4	=	=	SYM
bibechana-4046	77	5	(	(	PUNCT
bibechana-4046	77	6	q	q	NOUN
bibechana-4046	77	7	,	,	PUNCT
bibechana-4046	77	8	q	q	NOUN
bibechana-4046	77	9	)	)	PUNCT
bibechana-4046	77	10	=	=	SYM
bibechana-4046	77	11	24	24	NUM
bibechana-4046	77	12	.	.	PUNCT
bibechana-4046	77	13	2	2	NUM
bibechana-4046	77	14	1	1	NUM
bibechana-4046	77	15	4j	4j	NOUN
bibechana-4046	77	16	j	j	NOUN
bibechana-4046	77	17	q	q	AUX
bibechana-4046	77	18	rσ	rσ	VERB
bibechana-4046	77	19	=	=	SYM
bibechana-4046	77	20	=	=	NOUN
bibechana-4046	77	21	∑	∑	PROPN
bibechana-4046	77	22	(	(	PUNCT
bibechana-4046	77	23	25	25	NUM
bibechana-4046	77	24	)	)	PUNCT
bibechana-4046	77	25	4	4	NUM
bibechana-4046	77	26	.	.	PUNCT
bibechana-4046	78	1	the	the	DET
bibechana-4046	78	2	equations	equation	NOUN
bibechana-4046	78	3	of	of	ADP
bibechana-4046	78	4	motion	motion	NOUN
bibechana-4046	78	5	the	the	DET
bibechana-4046	78	6	regularized	regularize	VERB
bibechana-4046	78	7	canonical	canonical	ADJ
bibechana-4046	78	8	equations	equation	NOUN
bibechana-4046	78	9	of	of	ADP
bibechana-4046	78	10	motion	motion	NOUN
bibechana-4046	78	11	of	of	ADP
bibechana-4046	78	12	the	the	DET
bibechana-4046	78	13	infinitesimal	infinitesimal	ADJ
bibechana-4046	78	14	mass	mass	NOUN
bibechana-4046	78	15	in	in	ADP
bibechana-4046	78	16	synodic	synodic	ADJ
bibechana-4046	78	17	coordinate	coordinate	NOUN
bibechana-4046	78	18	system	system	NOUN
bibechana-4046	78	19	given	give	VERB
bibechana-4046	78	20	by	by	ADP
bibechana-4046	78	21	kurcheeva	kurcheeva	NOUN
bibechana-4046	78	22	[	[	X
bibechana-4046	78	23	4	4	NUM
bibechana-4046	78	24	]	]	PUNCT
bibechana-4046	78	25	are	be	AUX
bibechana-4046	78	26	:	:	PUNCT
bibechana-4046	78	27	)	)	PUNCT
bibechana-4046	78	28	4,3,2,1	4,3,2,1	NUM
bibechana-4046	78	29	(	(	PUNCT
bibechana-4046	78	30	,	,	PUNCT
bibechana-4046	78	31	=	=	SYM
bibechana-4046	78	32	∂	∂	NUM
bibechana-4046	78	33	∂−	∂−	PROPN
bibechana-4046	78	34	=	=	SYM
bibechana-4046	78	35	∂	∂	NOUN
bibechana-4046	78	36	∂	∂	NOUN
bibechana-4046	79	1	=	=	SYM
bibechana-4046	79	2	j	j	PROPN
bibechana-4046	79	3	q	q	X
bibechana-4046	80	1	k	k	NOUN
bibechana-4046	80	2	ds	ds	INTJ
bibechana-4046	80	3	dq	dq	INTJ
bibechana-4046	80	4	q	q	NOUN
bibechana-4046	81	1	k	k	NOUN
bibechana-4046	81	2	ds	ds	ADJ
bibechana-4046	81	3	dq	dq	PROPN
bibechana-4046	81	4	j	j	PROPN
bibechana-4046	82	1	j	j	PROPN
bibechana-4046	82	2	j	j	PROPN
bibechana-4046	82	3	j	j	PROPN
bibechana-4046	82	4	(	(	PUNCT
bibechana-4046	82	5	26	26	NUM
bibechana-4046	82	6	)	)	PUNCT
bibechana-4046	82	7	where	where	SCONJ
bibechana-4046	82	8	the	the	DET
bibechana-4046	82	9	hamiltonian	hamiltonian	NOUN
bibechana-4046	82	10	k	k	PROPN
bibechana-4046	82	11	(	(	PUNCT
bibechana-4046	82	12	regularized	regularize	VERB
bibechana-4046	82	13	at	at	ADP
bibechana-4046	82	14	r	r	NOUN
bibechana-4046	82	15	=	=	SYM
bibechana-4046	82	16	0	0	NUM
bibechana-4046	82	17	only	only	ADV
bibechana-4046	82	18	)	)	PUNCT
bibechana-4046	82	19	is	be	AUX
bibechana-4046	82	20	given	give	VERB
bibechana-4046	82	21	by	by	ADP
bibechana-4046	82	22	:	:	PUNCT
bibechana-4046	82	23	k	k	PROPN
bibechana-4046	82	24	=	=	SYM
bibechana-4046	82	25	½	½	PROPN
bibechana-4046	82	26	4)(2	4)(2	NUM
bibechana-4046	82	27	034431221	034431221	NUM
bibechana-4046	82	28	2	2	NUM
bibechana-4046	82	29	4	4	NUM
bibechana-4046	82	30	1	1	NUM
bibechana-4046	82	31	2	2	NUM
bibechana-4046	82	32	−+−+−+∑	−+−+−+∑	PUNCT
bibechana-4046	82	33	=	=	SYM
bibechana-4046	82	34	cqqqqqqqqq	cqqqqqqqqq	PROPN
bibechana-4046	82	35	j	j	PROPN
bibechana-4046	82	36	j	j	PROPN
bibechana-4046	82	37	ρ	ρ	PROPN
bibechana-4046	82	38	µ4	µ4	PROPN
bibechana-4046	82	39	+	+	PROPN
bibechana-4046	82	40	[	[	X
bibechana-4046	82	41	1	1	NUM
bibechana-4046	82	42	2ρ	2ρ	NOUN
bibechana-4046	82	43	(	(	PUNCT
bibechana-4046	82	44	q1	q1	PROPN
bibechana-4046	82	45	2	2	NUM
bibechana-4046	82	46	–	–	PUNCT
bibechana-4046	82	47	q2	q2	NOUN
bibechana-4046	82	48	2	2	NUM
bibechana-4046	82	49	–	–	PUNCT
bibechana-4046	82	50	q3	q3	NOUN
bibechana-4046	82	51	2	2	NUM
bibechana-4046	82	52	+	+	CCONJ
bibechana-4046	82	53	q4	q4	PROPN
bibechana-4046	82	54	2	2	NUM
bibechana-4046	82	55	+	+	CCONJ
bibechana-4046	82	56	2	2	NUM
bibechana-4046	82	57	11	11	NUM
bibechana-4046	82	58	1	1	NUM
bibechana-4046	82	59	−	−	NOUN
bibechana-4046	82	60	r	r	NOUN
bibechana-4046	82	61	(	(	PUNCT
bibechana-4046	82	62	c1	c1	NOUN
bibechana-4046	82	63	+	+	PROPN
bibechana-4046	82	64	1	1	NUM
bibechana-4046	82	65	)	)	PUNCT
bibechana-4046	82	66	]	]	PUNCT
bibechana-4046	82	67	(	(	PUNCT
bibechana-4046	82	68	27	27	NUM
bibechana-4046	82	69	)	)	PUNCT
bibechana-4046	82	70	with	with	ADP
bibechana-4046	82	71	r	r	NOUN
bibechana-4046	82	72	=	=	SYM
bibechana-4046	82	73	q1	q1	PROPN
bibechana-4046	82	74	2	2	NUM
bibechana-4046	82	75	+	+	NUM
bibechana-4046	82	76	q2	q2	NOUN
bibechana-4046	82	77	2	2	NUM
bibechana-4046	82	78	+	+	CCONJ
bibechana-4046	82	79	q3	q3	NOUN
bibechana-4046	82	80	2	2	NUM
bibechana-4046	82	81	+	+	CCONJ
bibechana-4046	82	82	q4	q4	PROPN
bibechana-4046	82	83	2	2	NUM
bibechana-4046	82	84	=	=	SYM
bibechana-4046	82	85	2ρ	2ρ	NOUN
bibechana-4046	82	86	(	(	PUNCT
bibechana-4046	82	87	28	28	NUM
bibechana-4046	82	88	)	)	PUNCT
bibechana-4046	82	89	=	=	NOUN
bibechana-4046	83	1	the	the	DET
bibechana-4046	83	2	distance	distance	NOUN
bibechana-4046	83	3	of	of	ADP
bibechana-4046	83	4	the	the	DET
bibechana-4046	83	5	infinitesimal	infinitesimal	ADJ
bibechana-4046	83	6	mass	mass	NOUN
bibechana-4046	83	7	from	from	ADP
bibechana-4046	83	8	the	the	DET
bibechana-4046	83	9	first	first	ADJ
bibechana-4046	83	10	primary	primary	NOUN
bibechana-4046	83	11	,	,	PUNCT
bibechana-4046	83	12	r1	r1	NOUN
bibechana-4046	83	13	2	2	NUM
bibechana-4046	83	14	=	=	SYM
bibechana-4046	83	15	1	1	NUM
bibechana-4046	83	16	+	+	NUM
bibechana-4046	83	17	2(q1	2(q1	NUM
bibechana-4046	83	18	2	2	NUM
bibechana-4046	83	19	q2	q2	NOUN
bibechana-4046	83	20	2	2	NUM
bibechana-4046	83	21	q3	q3	NOUN
bibechana-4046	83	22	2	2	NUM
bibechana-4046	83	23	+	+	CCONJ
bibechana-4046	83	24	q4	q4	PROPN
bibechana-4046	83	25	2	2	NUM
bibechana-4046	83	26	)	)	PUNCT
bibechana-4046	83	27	+	+	NUM
bibechana-4046	83	28	4ρ	4ρ	NUM
bibechana-4046	83	29	(	(	PUNCT
bibechana-4046	83	30	29	29	NUM
bibechana-4046	83	31	)	)	PUNCT
bibechana-4046	83	32	=	=	NOUN
bibechana-4046	83	33	the	the	DET
bibechana-4046	83	34	square	square	NOUN
bibechana-4046	83	35	of	of	ADP
bibechana-4046	83	36	the	the	DET
bibechana-4046	83	37	distance	distance	NOUN
bibechana-4046	83	38	of	of	ADP
bibechana-4046	83	39	the	the	DET
bibechana-4046	83	40	infinitesimal	infinitesimal	ADJ
bibechana-4046	83	41	mass	mass	NOUN
bibechana-4046	83	42	from	from	ADP
bibechana-4046	83	43	the	the	DET
bibechana-4046	83	44	second	second	ADJ
bibechana-4046	83	45	pimary	pimary	NOUN
bibechana-4046	83	46	.	.	PUNCT
bibechana-4046	84	1	c	c	X
bibechana-4046	85	1	=	=	PUNCT
bibechana-4046	85	2	∑	∑	PUNCT
bibechana-4046	85	3	∞	∞	PUNCT
bibechana-4046	86	1	=	=	NOUN
bibechana-4046	86	2	0i	0i	X
bibechana-4046	86	3	i	i	PRON
bibechana-4046	86	4	ic	ic	PROPN
bibechana-4046	86	5	µ	µ	X
bibechana-4046	86	6	,	,	PUNCT
bibechana-4046	86	7	the	the	DET
bibechana-4046	86	8	jacobi	jacobi	PROPN
bibechana-4046	86	9	’s	’s	PART
bibechana-4046	86	10	constant	constant	ADJ
bibechana-4046	86	11	,	,	PUNCT
bibechana-4046	86	12	(	(	PUNCT
bibechana-4046	86	13	30	30	NUM
bibechana-4046	86	14	)	)	PUNCT
bibechana-4046	86	15	the	the	DET
bibechana-4046	86	16	physical	physical	ADJ
bibechana-4046	86	17	time	time	NOUN
bibechana-4046	86	18	‘	'	PUNCT
bibechana-4046	86	19	t	t	NOUN
bibechana-4046	86	20	’	'	PUNCT
bibechana-4046	86	21	and	and	CCONJ
bibechana-4046	86	22	the	the	DET
bibechana-4046	86	23	pseudo	pseudo	NOUN
bibechana-4046	86	24	time	time	NOUN
bibechana-4046	86	25	‘s	‘s	PRON
bibechana-4046	86	26	’	'	PUNCT
bibechana-4046	86	27	are	be	AUX
bibechana-4046	86	28	connected	connect	VERB
bibechana-4046	86	29	by	by	ADP
bibechana-4046	86	30	the	the	DET
bibechana-4046	86	31	differential	differential	ADJ
bibechana-4046	86	32	equation	equation	NOUN
bibechana-4046	86	33	244	244	NUM
bibechana-4046	86	34	)	)	PUNCT
bibechana-4046	86	35	(	(	PUNCT
bibechana-4046	86	36	ρ==	ρ==	X
bibechana-4046	86	37	r	r	NOUN
bibechana-4046	86	38	ds	ds	NOUN
bibechana-4046	86	39	dt	dt	X
bibechana-4046	86	40	(	(	PUNCT
bibechana-4046	86	41	31	31	NUM
bibechana-4046	86	42	)	)	PUNCT
bibechana-4046	86	43	m.r	m.r	PROPN
bibechana-4046	86	44	.	.	PROPN
bibechana-4046	86	45	hassan	hassan	PROPN
bibechana-4046	86	46	and	and	CCONJ
bibechana-4046	86	47	r.r	r.r	PROPN
bibechana-4046	86	48	.	.	PROPN
bibechana-4046	86	49	thapa	thapa	PROPN
bibechana-4046	86	50	/	/	SYM
bibechana-4046	86	51	bibechana	bibechana	PROPN
bibechana-4046	86	52	7	7	NUM
bibechana-4046	86	53	(	(	PUNCT
bibechana-4046	86	54	2011	2011	NUM
bibechana-4046	86	55	)	)	PUNCT
bibechana-4046	86	56	54	54	NUM
bibechana-4046	86	57	-	-	SYM
bibechana-4046	86	58	60	60	NUM
bibechana-4046	86	59	:	:	PUNCT
bibechana-4046	86	60	bmhss	bmhss	NOUN
bibechana-4046	86	61	58	58	NUM
bibechana-4046	86	62	5	5	NUM
bibechana-4046	86	63	.	.	PUNCT
bibechana-4046	87	1	generating	generate	VERB
bibechana-4046	87	2	solutions	solution	NOUN
bibechana-4046	87	3	for	for	ADP
bibechana-4046	87	4	generating	generate	VERB
bibechana-4046	87	5	solutions	solution	NOUN
bibechana-4046	87	6	,	,	PUNCT
bibechana-4046	87	7	taking	take	VERB
bibechana-4046	87	8	0=µ	0=µ	NOUN
bibechana-4046	87	9	,	,	PUNCT
bibechana-4046	87	10	the	the	DET
bibechana-4046	87	11	reduced	reduced	ADJ
bibechana-4046	87	12	hamiltonian	hamiltonian	NOUN
bibechana-4046	87	13	,	,	PUNCT
bibechana-4046	87	14	k0	k0	PROPN
bibechana-4046	87	15	=	=	PROPN
bibechana-4046	87	16	½	½	PROPN
bibechana-4046	87	17	4)(2	4)(2	NUM
bibechana-4046	87	18	034431221	034431221	NUM
bibechana-4046	87	19	2	2	NUM
bibechana-4046	87	20	4	4	NUM
bibechana-4046	87	21	1	1	NUM
bibechana-4046	87	22	2	2	NUM
bibechana-4046	87	23	−+−+−+∑	−+−+−+∑	PUNCT
bibechana-4046	87	24	=	=	SYM
bibechana-4046	87	25	cqqqqqqqqq	cqqqqqqqqq	PROPN
bibechana-4046	87	26	j	j	PROPN
bibechana-4046	87	27	j	j	PROPN
bibechana-4046	87	28	ρ	ρ	PROPN
bibechana-4046	87	29	(	(	PUNCT
bibechana-4046	87	30	32	32	NUM
bibechana-4046	87	31	)	)	PUNCT
bibechana-4046	87	32	the	the	DET
bibechana-4046	87	33	hamilton	hamilton	PROPN
bibechana-4046	87	34	canonical	canonical	ADJ
bibechana-4046	87	35	equation	equation	NOUN
bibechana-4046	87	36	of	of	ADP
bibechana-4046	87	37	motion	motion	NOUN
bibechana-4046	87	38	due	due	ADP
bibechana-4046	87	39	to	to	ADP
bibechana-4046	87	40	k0	k0	PROPN
bibechana-4046	87	41	are	be	AUX
bibechana-4046	87	42	:	:	PUNCT
bibechana-4046	87	43	)	)	PUNCT
bibechana-4046	87	44	4,3,2,1	4,3,2,1	NUM
bibechana-4046	87	45	(	(	PUNCT
bibechana-4046	87	46	,	,	PUNCT
bibechana-4046	87	47	00	00	NUM
bibechana-4046	88	1	=	=	SYM
bibechana-4046	88	2	∂	∂	NUM
bibechana-4046	88	3	∂	∂	NUM
bibechana-4046	88	4	=	=	SYM
bibechana-4046	88	5	∂	∂	NOUN
bibechana-4046	88	6	∂	∂	NOUN
bibechana-4046	89	1	=	=	SYM
bibechana-4046	89	2	j	j	PROPN
bibechana-4046	89	3	q	q	X
bibechana-4046	90	1	k	k	NOUN
bibechana-4046	90	2	ds	ds	INTJ
bibechana-4046	90	3	dq	dq	INTJ
bibechana-4046	90	4	q	q	NOUN
bibechana-4046	91	1	k	k	NOUN
bibechana-4046	91	2	ds	ds	ADJ
bibechana-4046	91	3	dq	dq	PROPN
bibechana-4046	91	4	j	j	PROPN
bibechana-4046	92	1	j	j	PROPN
bibechana-4046	92	2	j	j	PROPN
bibechana-4046	92	3	j	j	PROPN
bibechana-4046	92	4	(	(	PUNCT
bibechana-4046	92	5	33	33	NUM
bibechana-4046	92	6	)	)	PUNCT
bibechana-4046	92	7	thus	thus	ADV
bibechana-4046	92	8	the	the	DET
bibechana-4046	92	9	equations	equation	NOUN
bibechana-4046	92	10	of	of	ADP
bibechana-4046	92	11	motion	motion	NOUN
bibechana-4046	92	12	of	of	ADP
bibechana-4046	92	13	an	an	DET
bibechana-4046	92	14	infinitesimal	infinitesimal	ADJ
bibechana-4046	92	15	mass	mass	NOUN
bibechana-4046	92	16	in	in	ADP
bibechana-4046	92	17	terms	term	NOUN
bibechana-4046	92	18	of	of	ADP
bibechana-4046	92	19	synodic	synodic	ADJ
bibechana-4046	92	20	ks	ks	PROPN
bibechana-4046	92	21	–	–	PUNCT
bibechana-4046	92	22	variables	variable	NOUN
bibechana-4046	92	23	can	can	AUX
bibechana-4046	92	24	easily	easily	ADV
bibechana-4046	92	25	by	by	ADP
bibechana-4046	92	26	derived	derive	VERB
bibechana-4046	92	27	from	from	ADP
bibechana-4046	92	28	(	(	PUNCT
bibechana-4046	92	29	30	30	NUM
bibechana-4046	92	30	)	)	PUNCT
bibechana-4046	92	31	,	,	PUNCT
bibechana-4046	92	32	(	(	PUNCT
bibechana-4046	92	33	32	32	NUM
bibechana-4046	92	34	)	)	PUNCT
bibechana-4046	92	35	&	&	CCONJ
bibechana-4046	92	36	(	(	PUNCT
bibechana-4046	92	37	33	33	NUM
bibechana-4046	92	38	)	)	PUNCT
bibechana-4046	92	39	as	as	ADP
bibechana-4046	92	40	:	:	PUNCT
bibechana-4046	92	41	q1˝–4	q1˝–4	NOUN
bibechana-4046	92	42	(	(	PUNCT
bibechana-4046	92	43	2ρ	2ρ	NOUN
bibechana-4046	92	44	+	+	PROPN
bibechana-4046	92	45	q1	q1	PROPN
bibechana-4046	92	46	2	2	NUM
bibechana-4046	92	47	+	+	NUM
bibechana-4046	92	48	q2	q2	NOUN
bibechana-4046	92	49	2	2	NUM
bibechana-4046	92	50	)	)	PUNCT
bibechana-4046	92	51	q2΄+4(q1q4	q2΄+4(q1q4	ADP
bibechana-4046	92	52	–	–	PUNCT
bibechana-4046	92	53	q2q3)q3΄-4(q1q3+q2q4)q4΄=4q1(3	q2q3)q3΄-4(q1q3+q2q4)q4΄=4q1(3	PROPN
bibechana-4046	92	54	4ρ	4ρ	ADJ
bibechana-4046	92	55	-c0	-c0	NOUN
bibechana-4046	92	56	)	)	PUNCT
bibechana-4046	92	57	(	(	PUNCT
bibechana-4046	92	58	34	34	NUM
bibechana-4046	92	59	)	)	PUNCT
bibechana-4046	92	60	q2˝+4	q2˝+4	NOUN
bibechana-4046	92	61	(	(	PUNCT
bibechana-4046	93	1	2ρ	2ρ	NOUN
bibechana-4046	93	2	+	+	PROPN
bibechana-4046	93	3	q1	q1	PROPN
bibechana-4046	93	4	2	2	NUM
bibechana-4046	93	5	+	+	NOUN
bibechana-4046	93	6	q2	q2	NOUN
bibechana-4046	93	7	2	2	NUM
bibechana-4046	93	8	)	)	PUNCT
bibechana-4046	93	9	q1΄+4(q1q3+q2q4)q3΄+	q1΄+4(q1q3+q2q4)q3΄+	VERB
bibechana-4046	93	10	4(q1q4	4(q1q4	NUM
bibechana-4046	93	11	–	–	PUNCT
bibechana-4046	93	12	q2q3)q4΄=4q2(3	q2q3)q4΄=4q2(3	PROPN
bibechana-4046	93	13	4ρ	4ρ	NUM
bibechana-4046	93	14	-c0	-c0	NOUN
bibechana-4046	93	15	)	)	PUNCT
bibechana-4046	93	16	(	(	PUNCT
bibechana-4046	93	17	35	35	NUM
bibechana-4046	93	18	)	)	PUNCT
bibechana-4046	93	19	q3˝-4(q1q4	q3˝-4(q1q4	NOUN
bibechana-4046	93	20	-	-	PUNCT
bibechana-4046	93	21	q2q3)q1΄-4(q1q3+q2q4)q2΄	q2q3)q1΄-4(q1q3+q2q4)q2΄	NOUN
bibechana-4046	93	22	4	4	NUM
bibechana-4046	93	23	(	(	PUNCT
bibechana-4046	93	24	2ρ	2ρ	NOUN
bibechana-4046	93	25	+	+	ADJ
bibechana-4046	93	26	q3	q3	NOUN
bibechana-4046	93	27	2	2	NUM
bibechana-4046	93	28	+	+	NOUN
bibechana-4046	93	29	q4	q4	PROPN
bibechana-4046	93	30	2)q4΄	2)q4΄	NUM
bibechana-4046	93	31	=	=	SYM
bibechana-4046	93	32	4q3(3	4q3(3	NUM
bibechana-4046	93	33	4ρ	4ρ	NUM
bibechana-4046	93	34	-c0	-c0	NOUN
bibechana-4046	93	35	)	)	PUNCT
bibechana-4046	93	36	(	(	PUNCT
bibechana-4046	93	37	36	36	NUM
bibechana-4046	93	38	)	)	PUNCT
bibechana-4046	93	39	q4˝+4(q1q3+q2q4)q1΄-4(q1q4	q4˝+4(q1q3+q2q4)q1΄-4(q1q4	PROPN
bibechana-4046	93	40	-	-	PUNCT
bibechana-4046	93	41	q2q3)q2΄	q2q3)q2΄	NOUN
bibechana-4046	93	42	+4	+4	PROPN
bibechana-4046	93	43	(	(	PUNCT
bibechana-4046	93	44	2ρ	2ρ	NOUN
bibechana-4046	93	45	+	+	ADJ
bibechana-4046	93	46	q3	q3	NOUN
bibechana-4046	93	47	2	2	NUM
bibechana-4046	93	48	+	+	NOUN
bibechana-4046	93	49	q4	q4	PROPN
bibechana-4046	93	50	2)q3΄	2)q3΄	NUM
bibechana-4046	93	51	=	=	SYM
bibechana-4046	93	52	4q4(3	4q4(3	NUM
bibechana-4046	93	53	4ρ	4ρ	NUM
bibechana-4046	93	54	-c0	-c0	NOUN
bibechana-4046	93	55	)	)	PUNCT
bibechana-4046	93	56	(	(	PUNCT
bibechana-4046	93	57	37	37	NUM
bibechana-4046	93	58	)	)	PUNCT
bibechana-4046	93	59	by	by	ADP
bibechana-4046	93	60	multiplying	multiply	VERB
bibechana-4046	93	61	eqs	eqs	PROPN
bibechana-4046	93	62	.	.	PUNCT
bibechana-4046	94	1	(	(	PUNCT
bibechana-4046	94	2	34	34	NUM
bibechana-4046	94	3	)	)	PUNCT
bibechana-4046	94	4	to	to	ADP
bibechana-4046	94	5	(	(	PUNCT
bibechana-4046	94	6	37	37	NUM
bibechana-4046	94	7	)	)	PUNCT
bibechana-4046	94	8	respectively	respectively	ADV
bibechana-4046	94	9	by	by	ADP
bibechana-4046	94	10	q1΄	q1΄	PROPN
bibechana-4046	94	11	,	,	PUNCT
bibechana-4046	94	12	q2΄	q2΄	PROPN
bibechana-4046	94	13	,	,	PUNCT
bibechana-4046	94	14	q3΄	q3΄	PROPN
bibechana-4046	94	15	,	,	PUNCT
bibechana-4046	94	16	q4΄	q4΄	NOUN
bibechana-4046	94	17	and	and	CCONJ
bibechana-4046	94	18	integrating	integrate	VERB
bibechana-4046	94	19	their	their	PRON
bibechana-4046	94	20	sum	sum	NOUN
bibechana-4046	94	21	,	,	PUNCT
bibechana-4046	94	22	one	one	PRON
bibechana-4046	94	23	has	have	VERB
bibechana-4046	94	24	hcq	hcq	PROPN
bibechana-4046	94	25	j	j	PROPN
bibechana-4046	94	26	j	j	PROPN
bibechana-4046	95	1	+	+	PROPN
bibechana-4046	95	2	+	+	PROPN
bibechana-4046	95	3	−=∑	−=∑	NOUN
bibechana-4046	95	4	=	=	PUNCT
bibechana-4046	95	5	844	844	NUM
bibechana-4046	95	6	'	'	PART
bibechana-4046	95	7	2	2	NUM
bibechana-4046	95	8	0	0	NUM
bibechana-4046	95	9	6	6	NUM
bibechana-4046	95	10	4	4	NUM
bibechana-4046	95	11	1	1	NUM
bibechana-4046	95	12	2	2	NUM
bibechana-4046	95	13	ρρ	ρρ	NOUN
bibechana-4046	95	14	(	(	PUNCT
bibechana-4046	95	15	38	38	NUM
bibechana-4046	95	16	)	)	PUNCT
bibechana-4046	95	17	here	here	ADV
bibechana-4046	95	18	,	,	PUNCT
bibechana-4046	95	19	h	h	NOUN
bibechana-4046	95	20	is	be	AUX
bibechana-4046	95	21	taken	take	VERB
bibechana-4046	95	22	as	as	ADP
bibechana-4046	95	23	the	the	DET
bibechana-4046	95	24	constant	constant	NOUN
bibechana-4046	95	25	of	of	ADP
bibechana-4046	95	26	integration	integration	NOUN
bibechana-4046	95	27	.	.	PUNCT
bibechana-4046	96	1	again	again	ADV
bibechana-4046	96	2	multiplying	multiply	VERB
bibechana-4046	96	3	(	(	PUNCT
bibechana-4046	96	4	34	34	NUM
bibechana-4046	96	5	)	)	PUNCT
bibechana-4046	96	6	to	to	ADP
bibechana-4046	96	7	(	(	PUNCT
bibechana-4046	96	8	37	37	NUM
bibechana-4046	96	9	)	)	PUNCT
bibechana-4046	96	10	respectively	respectively	ADV
bibechana-4046	96	11	by	by	ADP
bibechana-4046	96	12	q2	q2	PROPN
bibechana-4046	96	13	,	,	PUNCT
bibechana-4046	96	14	q1	q1	PROPN
bibechana-4046	96	15	,	,	PUNCT
bibechana-4046	96	16	q4	q4	PROPN
bibechana-4046	96	17	&	&	CCONJ
bibechana-4046	96	18	q3	q3	PROPN
bibechana-4046	96	19	and	and	CCONJ
bibechana-4046	96	20	subtracting	subtract	VERB
bibechana-4046	96	21	the	the	DET
bibechana-4046	96	22	sum	sum	NOUN
bibechana-4046	96	23	of	of	ADP
bibechana-4046	96	24	the	the	DET
bibechana-4046	96	25	second	second	ADJ
bibechana-4046	96	26	and	and	CCONJ
bibechana-4046	96	27	fourth	fourth	ADJ
bibechana-4046	96	28	from	from	ADP
bibechana-4046	96	29	the	the	DET
bibechana-4046	96	30	sum	sum	NOUN
bibechana-4046	96	31	of	of	ADP
bibechana-4046	96	32	the	the	DET
bibechana-4046	96	33	first	first	ADJ
bibechana-4046	96	34	and	and	CCONJ
bibechana-4046	96	35	third	third	ADJ
bibechana-4046	96	36	and	and	CCONJ
bibechana-4046	96	37	integrating	integrate	VERB
bibechana-4046	96	38	we	we	PRON
bibechana-4046	96	39	get	get	VERB
bibechana-4046	96	40	q1΄q2	q1΄q2	NOUN
bibechana-4046	96	41	–	–	PUNCT
bibechana-4046	96	42	q1	q1	NOUN
bibechana-4046	96	43	q2΄	q2΄	NOUN
bibechana-4046	96	44	+	+	CCONJ
bibechana-4046	96	45	q3΄q4	q3΄q4	NOUN
bibechana-4046	96	46	–	–	PUNCT
bibechana-4046	96	47	q3q4΄	q3q4΄	NOUN
bibechana-4046	96	48	=	=	SYM
bibechana-4046	96	49	2	2	NUM
bibechana-4046	96	50	4ρ	4ρ	NOUN
bibechana-4046	96	51	+	+	CCONJ
bibechana-4046	96	52	b	b	X
bibechana-4046	96	53	(	(	PUNCT
bibechana-4046	96	54	39	39	NUM
bibechana-4046	96	55	)	)	PUNCT
bibechana-4046	96	56	here	here	ADV
bibechana-4046	96	57	b	b	X
bibechana-4046	96	58	is	be	AUX
bibechana-4046	96	59	the	the	DET
bibechana-4046	96	60	constant	constant	ADJ
bibechana-4046	96	61	of	of	ADP
bibechana-4046	96	62	integration	integration	NOUN
bibechana-4046	96	63	to	to	PART
bibechana-4046	96	64	be	be	AUX
bibechana-4046	96	65	determined	determine	VERB
bibechana-4046	96	66	by	by	ADP
bibechana-4046	96	67	the	the	DET
bibechana-4046	96	68	initial	initial	ADJ
bibechana-4046	96	69	conditions	condition	NOUN
bibechana-4046	96	70	.	.	PUNCT
bibechana-4046	97	1	it	it	PRON
bibechana-4046	97	2	is	be	AUX
bibechana-4046	97	3	well	well	ADV
bibechana-4046	97	4	known	know	VERB
bibechana-4046	97	5	that	that	SCONJ
bibechana-4046	97	6	in	in	ADP
bibechana-4046	97	7	the	the	DET
bibechana-4046	97	8	restricted	restricted	ADJ
bibechana-4046	97	9	three	three	NUM
bibechana-4046	97	10	–	–	PUNCT
bibechana-4046	97	11	body	body	NOUN
bibechana-4046	97	12	problem	problem	NOUN
bibechana-4046	97	13	,	,	PUNCT
bibechana-4046	97	14	mean	mean	VERB
bibechana-4046	97	15	angular	angular	ADJ
bibechana-4046	97	16	motion	motion	NOUN
bibechana-4046	97	17	is	be	AUX
bibechana-4046	97	18	taken	take	VERB
bibechana-4046	97	19	to	to	PART
bibechana-4046	97	20	be	be	AUX
bibechana-4046	97	21	unity	unity	NOUN
bibechana-4046	97	22	i.e.	i.e.	X
bibechana-4046	97	23	n	n	CCONJ
bibechana-4046	97	24	=	=	SYM
bibechana-4046	97	25	1	1	NUM
bibechana-4046	97	26	(	(	PUNCT
bibechana-4046	97	27	as	as	SCONJ
bibechana-4046	97	28	the	the	DET
bibechana-4046	97	29	total	total	ADJ
bibechana-4046	97	30	mass	mass	NOUN
bibechana-4046	97	31	of	of	ADP
bibechana-4046	97	32	the	the	DET
bibechana-4046	97	33	primaries	primary	NOUN
bibechana-4046	97	34	is	be	AUX
bibechana-4046	97	35	1	1	NUM
bibechana-4046	97	36	and	and	CCONJ
bibechana-4046	97	37	separation	separation	NOUN
bibechana-4046	97	38	=	=	SYM
bibechana-4046	97	39	1	1	NUM
bibechana-4046	97	40	⇒	⇒	NOUN
bibechana-4046	97	41	n	n	NOUN
bibechana-4046	97	42	=	=	SYM
bibechana-4046	97	43	1	1	NUM
bibechana-4046	97	44	)	)	PUNCT
bibechana-4046	97	45	and	and	CCONJ
bibechana-4046	97	46	thus	thus	ADV
bibechana-4046	97	47	the	the	DET
bibechana-4046	97	48	synodic	synodic	ADJ
bibechana-4046	97	49	ks	ks	PROPN
bibechana-4046	97	50	–	–	PUNCT
bibechana-4046	97	51	variables	variables	PROPN
bibechana-4046	97	52	qj	qj	PROPN
bibechana-4046	97	53	s	s	AUX
bibechana-4046	97	54	given	give	VERB
bibechana-4046	97	55	in	in	ADP
bibechana-4046	97	56	(	(	PUNCT
bibechana-4046	97	57	13	13	NUM
bibechana-4046	97	58	)	)	PUNCT
bibechana-4046	97	59	will	will	AUX
bibechana-4046	97	60	be	be	AUX
bibechana-4046	97	61	of	of	ADP
bibechana-4046	97	62	the	the	DET
bibechana-4046	97	63	form	form	NOUN
bibechana-4046	97	64	:	:	PUNCT
bibechana-4046	97	65	q1	q1	PROPN
bibechana-4046	97	66	=	=	PUNCT
bibechana-4046	97	67	]	]	SYM
bibechana-4046	97	68	2	2	X
bibechana-4046	97	69	)	)	PUNCT
bibechana-4046	97	70	(	(	PUNCT
bibechana-4046	97	71	cos	cos	PROPN
bibechana-4046	97	72	[	[	X
bibechana-4046	97	73	)	)	SYM
bibechana-4046	97	74	2	2	NUM
bibechana-4046	97	75	sin	sin	NOUN
bibechana-4046	97	76	(	(	PUNCT
bibechana-4046	97	77	ti	ti	X
bibechana-4046	97	78	−−ω	−−ω	PROPN
bibechana-4046	97	79	σ	σ	PROPN
bibechana-4046	97	80	ρ	ρ	PROPN
bibechana-4046	97	81	q2	q2	NOUN
bibechana-4046	97	82	=	=	SYM
bibechana-4046	97	83	]	]	SYM
bibechana-4046	97	84	2	2	X
bibechana-4046	97	85	)	)	PUNCT
bibechana-4046	97	86	(	(	PUNCT
bibechana-4046	97	87	sin	sin	NOUN
bibechana-4046	97	88	[	[	X
bibechana-4046	97	89	)	)	PUNCT
bibechana-4046	97	90	2	2	NUM
bibechana-4046	97	91	sin	sin	NOUN
bibechana-4046	97	92	(	(	PUNCT
bibechana-4046	97	93	ti	ti	X
bibechana-4046	97	94	−−ω	−−ω	PROPN
bibechana-4046	97	95	σ	σ	PROPN
bibechana-4046	97	96	ρ	ρ	PROPN
bibechana-4046	97	97	(	(	PUNCT
bibechana-4046	97	98	40	40	NUM
bibechana-4046	97	99	)	)	PUNCT
bibechana-4046	97	100	q3	q3	NOUN
bibechana-4046	97	101	=	=	PUNCT
bibechana-4046	97	102	]	]	SYM
bibechana-4046	97	103	2	2	X
bibechana-4046	97	104	)	)	PUNCT
bibechana-4046	97	105	(	(	PUNCT
bibechana-4046	97	106	sin	sin	NOUN
bibechana-4046	97	107	[	[	X
bibechana-4046	97	108	)	)	PUNCT
bibechana-4046	97	109	2	2	NUM
bibechana-4046	97	110	cos	cos	PROPN
bibechana-4046	97	111	(	(	PUNCT
bibechana-4046	97	112	ti	ti	X
bibechana-4046	97	113	−+ω	−+ω	PROPN
bibechana-4046	97	114	σ	σ	PROPN
bibechana-4046	97	115	ρ	ρ	PROPN
bibechana-4046	97	116	q4	q4	PROPN
bibechana-4046	97	117	=	=	PUNCT
bibechana-4046	97	118	]	]	SYM
bibechana-4046	97	119	2	2	X
bibechana-4046	97	120	)	)	PUNCT
bibechana-4046	97	121	(	(	PUNCT
bibechana-4046	97	122	cos	cos	PROPN
bibechana-4046	97	123	[	[	X
bibechana-4046	97	124	)	)	PUNCT
bibechana-4046	97	125	2	2	NUM
bibechana-4046	97	126	cos	cos	PROPN
bibechana-4046	97	127	(	(	PUNCT
bibechana-4046	97	128	ti	ti	NOUN
bibechana-4046	97	129	−+ω	−+ω	X
bibechana-4046	97	130	−	−	PROPN
bibechana-4046	97	131	σ	σ	PROPN
bibechana-4046	97	132	ρ	ρ	PROPN
bibechana-4046	97	133	from	from	ADP
bibechana-4046	97	134	eqs	eqs	PROPN
bibechana-4046	97	135	.	.	PUNCT
bibechana-4046	98	1	(	(	PUNCT
bibechana-4046	98	2	27	27	NUM
bibechana-4046	98	3	)	)	PUNCT
bibechana-4046	98	4	and	and	CCONJ
bibechana-4046	98	5	(	(	PUNCT
bibechana-4046	98	6	40	40	NUM
bibechana-4046	98	7	)	)	PUNCT
bibechana-4046	98	8	one	one	PRON
bibechana-4046	98	9	can	can	AUX
bibechana-4046	98	10	easily	easily	ADV
bibechana-4046	98	11	find	find	VERB
bibechana-4046	98	12	that	that	SCONJ
bibechana-4046	98	13	)	)	PUNCT
bibechana-4046	98	14	cos816	cos816	NOUN
bibechana-4046	98	15	(	(	PUNCT
bibechana-4046	98	16	'	'	PUNCT
bibechana-4046	98	17	'	'	NUM
bibechana-4046	98	18	24'22	24'22	NUM
bibechana-4046	98	19	'	'	PART
bibechana-4046	98	20	4	4	NUM
bibechana-4046	98	21	1	1	NUM
bibechana-4046	98	22	2	2	NUM
bibechana-4046	98	23	iq	iq	NOUN
bibechana-4046	98	24	j	j	PROPN
bibechana-4046	98	25	j	j	PROPN
bibechana-4046	98	26	σρρσρρ	σρρσρρ	PROPN
bibechana-4046	98	27	−++=∑	−++=∑	PROPN
bibechana-4046	98	28	=	=	PRON
bibechana-4046	98	29	(	(	PUNCT
bibechana-4046	98	30	41	41	NUM
bibechana-4046	98	31	)	)	PUNCT
bibechana-4046	98	32	and	and	CCONJ
bibechana-4046	98	33	q1΄q2	q1΄q2	PROPN
bibechana-4046	98	34	–	–	PUNCT
bibechana-4046	98	35	q1q2΄	q1q2΄	NOUN
bibechana-4046	98	36	+	+	NOUN
bibechana-4046	98	37	q3΄q4	q3΄q4	NOUN
bibechana-4046	98	38	–	–	PUNCT
bibechana-4046	98	39	q3q4΄	q3q4΄	NOUN
bibechana-4046	98	40	=	=	SYM
bibechana-4046	98	41	2	2	NUM
bibechana-4046	98	42	icos	icos	PROPN
bibechana-4046	98	43	)	)	PUNCT
bibechana-4046	98	44	2	2	NUM
bibechana-4046	98	45	1	1	NUM
bibechana-4046	98	46	(	(	PUNCT
bibechana-4046	98	47	'	'	PUNCT
bibechana-4046	98	48	24	24	NUM
bibechana-4046	98	49	σρρ	σρρ	NOUN
bibechana-4046	98	50	−	−	PROPN
bibechana-4046	98	51	(	(	PUNCT
bibechana-4046	98	52	42	42	NUM
bibechana-4046	98	53	)	)	PUNCT
bibechana-4046	98	54	the	the	DET
bibechana-4046	98	55	combinations	combination	NOUN
bibechana-4046	98	56	eqs.(38	eqs.(38	NOUN
bibechana-4046	98	57	,	,	PUNCT
bibechana-4046	98	58	41	41	NUM
bibechana-4046	98	59	)	)	PUNCT
bibechana-4046	98	60	and	and	CCONJ
bibechana-4046	98	61	(	(	PUNCT
bibechana-4046	98	62	39	39	NUM
bibechana-4046	98	63	,	,	PUNCT
bibechana-4046	98	64	42	42	NUM
bibechana-4046	98	65	)	)	PUNCT
bibechana-4046	98	66	yield	yield	NOUN
bibechana-4046	98	67	hci	hci	NOUN
bibechana-4046	99	1	+	+	PROPN
bibechana-4046	99	2	+	+	PROPN
bibechana-4046	99	3	−=−++	−=−++	PROPN
bibechana-4046	99	4	844)cos816	844)cos816	NUM
bibechana-4046	99	5	(	(	PUNCT
bibechana-4046	99	6	)	)	PUNCT
bibechana-4046	99	7	4	4	NUM
bibechana-4046	99	8	1	1	NUM
bibechana-4046	99	9	(	(	PUNCT
bibechana-4046	99	10	2	2	NUM
bibechana-4046	99	11	0	0	NUM
bibechana-4046	99	12	6'242'22	6'242'22	NUM
bibechana-4046	99	13	'	'	PART
bibechana-4046	99	14	ρρσρρσρρ	ρρσρρσρρ	NOUN
bibechana-4046	99	15	(	(	PUNCT
bibechana-4046	99	16	43	43	NUM
bibechana-4046	99	17	)	)	PUNCT
bibechana-4046	99	18	and	and	CCONJ
bibechana-4046	99	19	(	(	PUNCT
bibechana-4046	99	20	bi	bi	PROPN
bibechana-4046	99	21	=	=	PROPN
bibechana-4046	99	22	cos	cos	PROPN
bibechana-4046	99	23	)	)	PUNCT
bibechana-4046	99	24	2	2	NUM
bibechana-4046	99	25	1	1	NUM
bibechana-4046	99	26	'	'	NOUN
bibechana-4046	99	27	2σρ	2σρ	NOUN
bibechana-4046	99	28	(	(	PUNCT
bibechana-4046	99	29	44	44	NUM
bibechana-4046	99	30	)	)	PUNCT
bibechana-4046	99	31	following	follow	VERB
bibechana-4046	99	32	[	[	X
bibechana-4046	99	33	4	4	NUM
bibechana-4046	99	34	]	]	PUNCT
bibechana-4046	99	35	and	and	CCONJ
bibechana-4046	99	36	[	[	X
bibechana-4046	99	37	5	5	NUM
bibechana-4046	99	38	]	]	PUNCT
bibechana-4046	99	39	at	at	ADP
bibechana-4046	99	40	s	s	NOUN
bibechana-4046	99	41	=	=	SYM
bibechana-4046	99	42	0	0	PROPN
bibechana-4046	99	43	,	,	PUNCT
bibechana-4046	99	44	ρ	ρ	PROPN
bibechana-4046	99	45	=	=	SYM
bibechana-4046	99	46	0	0	PROPN
bibechana-4046	99	47	and	and	CCONJ
bibechana-4046	99	48	which	which	PRON
bibechana-4046	99	49	gives	give	VERB
bibechana-4046	99	50	b	b	PROPN
bibechana-4046	99	51	=	=	SYM
bibechana-4046	99	52	0	0	NUM
bibechana-4046	99	53	,	,	PUNCT
bibechana-4046	99	54	consequently	consequently	ADV
bibechana-4046	99	55	'	'	PUNCT
bibechana-4046	99	56	σ	σ	X
bibechana-4046	99	57	=	=	NOUN
bibechana-4046	99	58	0	0	NUM
bibechana-4046	99	59	i.e.	i.e.	X
bibechana-4046	99	60	σ	σ	X
bibechana-4046	99	61	=	=	SYM
bibechana-4046	99	62	constant	constant	ADJ
bibechana-4046	99	63	=	=	ADJ
bibechana-4046	99	64	0σ	0σ	NOUN
bibechana-4046	99	65	(	(	PUNCT
bibechana-4046	99	66	say	say	INTJ
bibechana-4046	99	67	)	)	PUNCT
bibechana-4046	99	68	and	and	CCONJ
bibechana-4046	99	69	the	the	DET
bibechana-4046	99	70	second	second	ADJ
bibechana-4046	99	71	degree	degree	NOUN
bibechana-4046	99	72	differential	differential	NOUN
bibechana-4046	99	73	equation	equation	NOUN
bibechana-4046	99	74	reduces	reduce	VERB
bibechana-4046	99	75	to	to	ADP
bibechana-4046	99	76	m.r	m.r	PROPN
bibechana-4046	99	77	.	.	PROPN
bibechana-4046	99	78	hassan	hassan	PROPN
bibechana-4046	99	79	and	and	CCONJ
bibechana-4046	99	80	r.r	r.r	PROPN
bibechana-4046	99	81	.	.	PROPN
bibechana-4046	99	82	thapa	thapa	PROPN
bibechana-4046	99	83	/	/	SYM
bibechana-4046	99	84	bibechana	bibechana	PROPN
bibechana-4046	99	85	7	7	NUM
bibechana-4046	99	86	(	(	PUNCT
bibechana-4046	99	87	2011	2011	NUM
bibechana-4046	99	88	)	)	PUNCT
bibechana-4046	99	89	54	54	NUM
bibechana-4046	99	90	-	-	SYM
bibechana-4046	99	91	60	60	NUM
bibechana-4046	99	92	:	:	PUNCT
bibechana-4046	99	93	bmhss	bmhss	NOUN
bibechana-4046	99	94	59	59	NUM
bibechana-4046	99	95	2	2	NUM
bibechana-4046	99	96	0	0	NUM
bibechana-4046	99	97	2	2	NUM
bibechana-4046	99	98	'	'	NUM
bibechana-4046	99	99	48	48	NUM
bibechana-4046	99	100	ρρ	ρρ	NOUN
bibechana-4046	99	101	ch	ch	NOUN
bibechana-4046	99	102	−+=	−+=	X
bibechana-4046	99	103	(	(	PUNCT
bibechana-4046	99	104	45	45	NUM
bibechana-4046	99	105	)	)	PUNCT
bibechana-4046	99	106	at	at	ADP
bibechana-4046	99	107	h	h	NOUN
bibechana-4046	99	108	=	=	SYM
bibechana-4046	99	109	0	0	PROPN
bibechana-4046	99	110	,	,	PUNCT
bibechana-4046	99	111	the	the	DET
bibechana-4046	99	112	generating	generate	VERB
bibechana-4046	99	113	solutions	solution	NOUN
bibechana-4046	99	114	with	with	ADP
bibechana-4046	99	115	generalized	generalized	ADJ
bibechana-4046	99	116	period	period	NOUN
bibechana-4046	99	117	s	s	PROPN
bibechana-4046	99	118	*	*	PUNCT
bibechana-4046	99	119	=	=	SYM
bibechana-4046	99	120	k	k	PROPN
bibechana-4046	99	121	2	2	NUM
bibechana-4046	99	122	π	π	NOUN
bibechana-4046	99	123	,	,	PUNCT
bibechana-4046	99	124	k∈n	k∈n	PROPN
bibechana-4046	99	125	of	of	ADP
bibechana-4046	99	126	the	the	DET
bibechana-4046	99	127	system	system	NOUN
bibechana-4046	99	128	of	of	ADP
bibechana-4046	99	129	eqs	eqs	PROPN
bibechana-4046	99	130	.	.	PUNCT
bibechana-4046	100	1	(	(	PUNCT
bibechana-4046	100	2	34	34	NUM
bibechana-4046	100	3	)	)	PUNCT
bibechana-4046	100	4	to	to	ADP
bibechana-4046	100	5	(	(	PUNCT
bibechana-4046	100	6	37	37	NUM
bibechana-4046	100	7	)	)	PUNCT
bibechana-4046	100	8	are	be	AUX
bibechana-4046	100	9	given	give	VERB
bibechana-4046	100	10	by	by	ADP
bibechana-4046	100	11	[	[	X
bibechana-4046	100	12	6	6	NUM
bibechana-4046	100	13	,	,	PUNCT
bibechana-4046	100	14	7	7	NUM
bibechana-4046	100	15	]	]	PUNCT
bibechana-4046	100	16	as	as	ADP
bibechana-4046	100	17	:	:	PUNCT
bibechana-4046	100	18	q1	q1	X
bibechana-4046	100	19	=	=	PUNCT
bibechana-4046	100	20	]	]	SYM
bibechana-4046	100	21	2	2	X
bibechana-4046	100	22	)	)	PUNCT
bibechana-4046	100	23	(	(	PUNCT
bibechana-4046	100	24	cos	cos	PROPN
bibechana-4046	100	25	[	[	X
bibechana-4046	100	26	)	)	SYM
bibechana-4046	100	27	2	2	NUM
bibechana-4046	100	28	sin	sin	NOUN
bibechana-4046	100	29	(	(	PUNCT
bibechana-4046	100	30	0	0	NUM
bibechana-4046	100	31	ti	ti	NOUN
bibechana-4046	100	32	−−ω	−−ω	PROPN
bibechana-4046	100	33	σ	σ	PROPN
bibechana-4046	100	34	ρ	ρ	PROPN
bibechana-4046	100	35	q2	q2	NOUN
bibechana-4046	100	36	=	=	SYM
bibechana-4046	100	37	]	]	SYM
bibechana-4046	100	38	2	2	X
bibechana-4046	100	39	)	)	PUNCT
bibechana-4046	100	40	(	(	PUNCT
bibechana-4046	100	41	sin	sin	NOUN
bibechana-4046	100	42	[	[	X
bibechana-4046	100	43	)	)	PUNCT
bibechana-4046	100	44	2	2	NUM
bibechana-4046	100	45	sin	sin	NOUN
bibechana-4046	100	46	(	(	PUNCT
bibechana-4046	100	47	0	0	NUM
bibechana-4046	100	48	ti	ti	NOUN
bibechana-4046	100	49	−−ω	−−ω	PROPN
bibechana-4046	100	50	σ	σ	PROPN
bibechana-4046	100	51	ρ	ρ	PROPN
bibechana-4046	100	52	(	(	PUNCT
bibechana-4046	100	53	46	46	NUM
bibechana-4046	100	54	)	)	PUNCT
bibechana-4046	100	55	q3	q3	NOUN
bibechana-4046	100	56	=	=	PUNCT
bibechana-4046	100	57	]	]	SYM
bibechana-4046	100	58	2	2	X
bibechana-4046	100	59	)	)	PUNCT
bibechana-4046	100	60	(	(	PUNCT
bibechana-4046	100	61	sin	sin	NOUN
bibechana-4046	100	62	[	[	X
bibechana-4046	100	63	)	)	PUNCT
bibechana-4046	100	64	2	2	NUM
bibechana-4046	100	65	cos	cos	PROPN
bibechana-4046	100	66	(	(	PUNCT
bibechana-4046	100	67	0	0	NUM
bibechana-4046	100	68	ti	ti	NOUN
bibechana-4046	100	69	−+ω	−+ω	PROPN
bibechana-4046	100	70	σ	σ	PROPN
bibechana-4046	100	71	ρ	ρ	PROPN
bibechana-4046	100	72	q4	q4	PROPN
bibechana-4046	100	73	=	=	PUNCT
bibechana-4046	100	74	]	]	SYM
bibechana-4046	100	75	2	2	X
bibechana-4046	100	76	)	)	PUNCT
bibechana-4046	100	77	(	(	PUNCT
bibechana-4046	100	78	cos	cos	PROPN
bibechana-4046	100	79	[	[	X
bibechana-4046	100	80	)	)	PUNCT
bibechana-4046	100	81	2	2	NUM
bibechana-4046	100	82	cos	cos	PROPN
bibechana-4046	100	83	(	(	PUNCT
bibechana-4046	100	84	0	0	NUM
bibechana-4046	100	85	ti	ti	NOUN
bibechana-4046	100	86	−+ω	−+ω	X
bibechana-4046	100	87	−	−	PROPN
bibechana-4046	100	88	σ	σ	PROPN
bibechana-4046	100	89	ρ	ρ	PROPN
bibechana-4046	100	90	and	and	CCONJ
bibechana-4046	100	91	q1	q1	PROPN
bibechana-4046	100	92	=	=	SYM
bibechana-4046	100	93	]	]	SYM
bibechana-4046	100	94	2	2	X
bibechana-4046	100	95	)	)	PUNCT
bibechana-4046	100	96	(	(	PUNCT
bibechana-4046	100	97	cos	cos	PROPN
bibechana-4046	100	98	[	[	X
bibechana-4046	100	99	)	)	SYM
bibechana-4046	100	100	2	2	NUM
bibechana-4046	100	101	sin	sin	NOUN
bibechana-4046	100	102	(	(	PUNCT
bibechana-4046	100	103	0	0	NOUN
bibechana-4046	100	104	'	'	PART
bibechana-4046	100	105	ti	ti	NOUN
bibechana-4046	100	106	−−ω	−−ω	PROPN
bibechana-4046	100	107	σ	σ	PROPN
bibechana-4046	100	108	ρ	ρ	PROPN
bibechana-4046	100	109	q2	q2	NOUN
bibechana-4046	100	110	=	=	SYM
bibechana-4046	100	111	]	]	SYM
bibechana-4046	100	112	2	2	X
bibechana-4046	100	113	)	)	PUNCT
bibechana-4046	100	114	(	(	PUNCT
bibechana-4046	100	115	sin	sin	NOUN
bibechana-4046	100	116	[	[	X
bibechana-4046	100	117	)	)	PUNCT
bibechana-4046	100	118	2	2	NUM
bibechana-4046	100	119	sin	sin	NOUN
bibechana-4046	100	120	(	(	PUNCT
bibechana-4046	100	121	0	0	NOUN
bibechana-4046	100	122	'	'	PART
bibechana-4046	100	123	ti	ti	NOUN
bibechana-4046	100	124	−−ω	−−ω	PROPN
bibechana-4046	100	125	σ	σ	PROPN
bibechana-4046	100	126	ρ	ρ	PROPN
bibechana-4046	100	127	(	(	PUNCT
bibechana-4046	100	128	47	47	NUM
bibechana-4046	100	129	)	)	PUNCT
bibechana-4046	100	130	q3	q3	NOUN
bibechana-4046	100	131	=	=	PUNCT
bibechana-4046	100	132	]	]	SYM
bibechana-4046	100	133	2	2	X
bibechana-4046	100	134	)	)	PUNCT
bibechana-4046	100	135	(	(	PUNCT
bibechana-4046	100	136	sin	sin	NOUN
bibechana-4046	100	137	[	[	X
bibechana-4046	100	138	)	)	PUNCT
bibechana-4046	100	139	2	2	NUM
bibechana-4046	100	140	cos	cos	PROPN
bibechana-4046	100	141	(	(	PUNCT
bibechana-4046	100	142	0	0	NUM
bibechana-4046	100	143	'	'	CCONJ
bibechana-4046	100	144	ti	ti	NOUN
bibechana-4046	100	145	−+ω	−+ω	PROPN
bibechana-4046	101	1	σ	σ	PROPN
bibechana-4046	101	2	ρ	ρ	PROPN
bibechana-4046	101	3	q4	q4	PROPN
bibechana-4046	101	4	=	=	PUNCT
bibechana-4046	101	5	]	]	SYM
bibechana-4046	101	6	2	2	X
bibechana-4046	101	7	)	)	PUNCT
bibechana-4046	101	8	(	(	PUNCT
bibechana-4046	101	9	cos	cos	PROPN
bibechana-4046	101	10	[	[	X
bibechana-4046	101	11	)	)	PUNCT
bibechana-4046	101	12	2	2	NUM
bibechana-4046	101	13	cos	cos	PROPN
bibechana-4046	101	14	(	(	PUNCT
bibechana-4046	101	15	0	0	NUM
bibechana-4046	101	16	'	'	CCONJ
bibechana-4046	101	17	ti	ti	NOUN
bibechana-4046	101	18	−+ω	−+ω	X
bibechana-4046	101	19	−	−	PROPN
bibechana-4046	101	20	σ	σ	NUM
bibechana-4046	101	21	ρ	ρ	PROPN
bibechana-4046	101	22	where	where	SCONJ
bibechana-4046	101	23	00	00	NUM
bibechana-4046	101	24	'	'	PUNCT
bibechana-4046	101	25	2sin(22	2sin(22	NUM
bibechana-4046	101	26	ssc	ssc	NOUN
bibechana-4046	101	27	−−=ρ	−−=ρ	NOUN
bibechana-4046	101	28	)	)	PUNCT
bibechana-4046	101	29	(	(	PUNCT
bibechana-4046	101	30	48	48	NUM
bibechana-4046	101	31	)	)	PUNCT
bibechana-4046	101	32	from	from	ADP
bibechana-4046	101	33	(	(	PUNCT
bibechana-4046	101	34	32	32	NUM
bibechana-4046	101	35	)	)	PUNCT
bibechana-4046	101	36	t	t	NOUN
bibechana-4046	101	37	=	=	SYM
bibechana-4046	101	38	10000	10000	NUM
bibechana-4046	101	39	0	0	NUM
bibechana-4046	101	40	)	)	PUNCT
bibechana-4046	101	41	]	]	X
bibechana-4046	101	42	24sin(4	24sin(4	NUM
bibechana-4046	101	43	)	)	PUNCT
bibechana-4046	101	44	[	[	PUNCT
bibechana-4046	101	45	1	1	NUM
bibechana-4046	101	46	(	(	PUNCT
bibechana-4046	101	47	ssscscc	ssscscc	PROPN
bibechana-4046	101	48	c	c	PROPN
bibechana-4046	101	49	+	+	PROPN
bibechana-4046	101	50	−+	−+	PROPN
bibechana-4046	101	51	(	(	PUNCT
bibechana-4046	101	52	49	49	NUM
bibechana-4046	101	53	)	)	PUNCT
bibechana-4046	101	54	where	where	SCONJ
bibechana-4046	101	55	s1	s1	NOUN
bibechana-4046	101	56	is	be	AUX
bibechana-4046	101	57	the	the	DET
bibechana-4046	101	58	constant	constant	ADJ
bibechana-4046	101	59	of	of	ADP
bibechana-4046	101	60	integration	integration	NOUN
bibechana-4046	101	61	.	.	PUNCT
bibechana-4046	102	1	let	let	VERB
bibechana-4046	102	2	us	we	PRON
bibechana-4046	102	3	introduce	introduce	VERB
bibechana-4046	102	4	two	two	NUM
bibechana-4046	102	5	variables	variable	NOUN
bibechana-4046	102	6	θ	θ	PROPN
bibechana-4046	102	7	and	and	CCONJ
bibechana-4046	102	8	ϕ	ϕ	PROPN
bibechana-4046	102	9	,	,	PUNCT
bibechana-4046	102	10	where	where	SCONJ
bibechana-4046	102	11	θ	θ	NOUN
bibechana-4046	102	12	=	=	SYM
bibechana-4046	102	13	(	(	PUNCT
bibechana-4046	102	14	)	)	PUNCT
bibechana-4046	102	15	2	2	NUM
bibechana-4046	102	16	(	(	PUNCT
bibechana-4046	102	17	&	&	CCONJ
bibechana-4046	102	18	)	)	PUNCT
bibechana-4046	102	19	2	2	NUM
bibechana-4046	102	20	00	00	NUM
bibechana-4046	102	21	tt	tt	PROPN
bibechana-4046	102	22	−+ω	−+ω	NOUN
bibechana-4046	102	23	=	=	SYM
bibechana-4046	102	24	−−ω	−−ω	PROPN
bibechana-4046	102	25	σ	σ	PROPN
bibechana-4046	102	26	ϕ	ϕ	PROPN
bibechana-4046	102	27	σ	σ	PROPN
bibechana-4046	102	28	(	(	PUNCT
bibechana-4046	102	29	50	50	NUM
bibechana-4046	102	30	)	)	PUNCT
bibechana-4046	102	31	introduction	introduction	NOUN
bibechana-4046	102	32	of	of	ADP
bibechana-4046	102	33	(	(	PUNCT
bibechana-4046	102	34	31	31	NUM
bibechana-4046	102	35	)	)	PUNCT
bibechana-4046	102	36	yield	yield	VERB
bibechana-4046	102	37	2	2	NUM
bibechana-4046	102	38	''	''	PUNCT
bibechana-4046	102	39	2ρϕθ	2ρϕθ	ADJ
bibechana-4046	102	40	−==	−==	ADJ
bibechana-4046	102	41	(	(	PUNCT
bibechana-4046	102	42	51	51	NUM
bibechana-4046	102	43	)	)	PUNCT
bibechana-4046	102	44	q1	q1	NOUN
bibechana-4046	102	45	=	=	SYM
bibechana-4046	102	46	θρ	θρ	PROPN
bibechana-4046	102	47	cos	cos	PROPN
bibechana-4046	102	48	)	)	PUNCT
bibechana-4046	102	49	2	2	NUM
bibechana-4046	102	50	sin	sin	NOUN
bibechana-4046	102	51	(	(	PUNCT
bibechana-4046	102	52	i	i	NOUN
bibechana-4046	102	53	q2	q2	NOUN
bibechana-4046	102	54	=	=	SYM
bibechana-4046	102	55	θρ	θρ	NOUN
bibechana-4046	102	56	sin	sin	NOUN
bibechana-4046	102	57	)	)	PUNCT
bibechana-4046	102	58	2	2	NUM
bibechana-4046	102	59	sin	sin	NOUN
bibechana-4046	102	60	(	(	PUNCT
bibechana-4046	102	61	i	i	PRON
bibechana-4046	102	62	(	(	PUNCT
bibechana-4046	102	63	52	52	NUM
bibechana-4046	102	64	)	)	PUNCT
bibechana-4046	102	65	q3	q3	NOUN
bibechana-4046	102	66	=	=	PROPN
bibechana-4046	102	67	ϕρ	ϕρ	PROPN
bibechana-4046	102	68	cos	cos	PROPN
bibechana-4046	102	69	)	)	PUNCT
bibechana-4046	102	70	2	2	NUM
bibechana-4046	102	71	cos	cos	PROPN
bibechana-4046	102	72	(	(	PUNCT
bibechana-4046	102	73	i	i	PROPN
bibechana-4046	102	74	q4	q4	PROPN
bibechana-4046	102	75	=	=	PUNCT
bibechana-4046	102	76	ϕρ	ϕρ	PROPN
bibechana-4046	102	77	cos	cos	PROPN
bibechana-4046	102	78	)	)	PUNCT
bibechana-4046	102	79	2	2	NUM
bibechana-4046	102	80	cos	cos	PROPN
bibechana-4046	102	81	(	(	PUNCT
bibechana-4046	102	82	i	i	PRON
bibechana-4046	102	83	−	−	PROPN
bibechana-4046	102	84	and	and	CCONJ
bibechana-4046	102	85	q1	q1	PROPN
bibechana-4046	102	86	=	=	SYM
bibechana-4046	102	87	θρ	θρ	PROPN
bibechana-4046	102	88	cos	cos	PROPN
bibechana-4046	102	89	)	)	PUNCT
bibechana-4046	102	90	2	2	NUM
bibechana-4046	102	91	sin	sin	NOUN
bibechana-4046	102	92	(	(	PUNCT
bibechana-4046	102	93	'	'	PUNCT
bibechana-4046	102	94	i	i	PRON
bibechana-4046	102	95	q2	q2	NOUN
bibechana-4046	102	96	=	=	SYM
bibechana-4046	103	1	θρ	θρ	NOUN
bibechana-4046	103	2	sin	sin	NOUN
bibechana-4046	103	3	)	)	PUNCT
bibechana-4046	103	4	2	2	NUM
bibechana-4046	103	5	sin	sin	NOUN
bibechana-4046	103	6	(	(	PUNCT
bibechana-4046	103	7	'	'	PUNCT
bibechana-4046	103	8	i	i	PRON
bibechana-4046	103	9	(	(	PUNCT
bibechana-4046	103	10	53	53	NUM
bibechana-4046	103	11	)	)	PUNCT
bibechana-4046	103	12	q3	q3	NOUN
bibechana-4046	103	13	=	=	PROPN
bibechana-4046	103	14	ϕρ	ϕρ	PROPN
bibechana-4046	103	15	cos	cos	PROPN
bibechana-4046	103	16	)	)	PUNCT
bibechana-4046	103	17	2	2	NUM
bibechana-4046	103	18	cos	cos	PROPN
bibechana-4046	103	19	(	(	PUNCT
bibechana-4046	103	20	'	'	PUNCT
bibechana-4046	103	21	i	i	PRON
bibechana-4046	103	22	q4	q4	PROPN
bibechana-4046	103	23	=	=	PUNCT
bibechana-4046	103	24	ϕρ	ϕρ	PROPN
bibechana-4046	103	25	cos	cos	PROPN
bibechana-4046	103	26	)	)	PUNCT
bibechana-4046	103	27	2	2	NUM
bibechana-4046	103	28	cos	cos	PROPN
bibechana-4046	103	29	(	(	PUNCT
bibechana-4046	103	30	'	'	PUNCT
bibechana-4046	103	31	i	i	PRON
bibechana-4046	103	32	−	−	VERB
bibechana-4046	103	33	now	now	ADV
bibechana-4046	103	34	from	from	ADP
bibechana-4046	103	35	eq.(45	eq.(45	NOUN
bibechana-4046	103	36	)	)	PUNCT
bibechana-4046	103	37	2	2	NUM
bibechana-4046	103	38	0	0	NUM
bibechana-4046	103	39	2	2	NUM
bibechana-4046	103	40	'	'	NUM
bibechana-4046	103	41	48	48	NUM
bibechana-4046	103	42	ρρ	ρρ	NOUN
bibechana-4046	103	43	ch	ch	NOUN
bibechana-4046	103	44	−+=	−+=	X
bibechana-4046	103	45	(	(	PUNCT
bibechana-4046	103	46	54	54	NUM
bibechana-4046	103	47	)	)	PUNCT
bibechana-4046	103	48	integrating	integrate	VERB
bibechana-4046	103	49	eq.(54	eq.(54	NOUN
bibechana-4046	103	50	)	)	PUNCT
bibechana-4046	103	51	with	with	ADP
bibechana-4046	103	52	respect	respect	NOUN
bibechana-4046	103	53	to	to	ADP
bibechana-4046	103	54	s	s	PRON
bibechana-4046	103	55	we	we	PRON
bibechana-4046	103	56	get	get	VERB
bibechana-4046	103	57	s	s	NOUN
bibechana-4046	103	58	=	=	X
bibechana-4046	103	59	∫	∫	PROPN
bibechana-4046	103	60	−+	−+	PROPN
bibechana-4046	103	61	ρ	ρ	PROPN
bibechana-4046	103	62	ρ	ρ	PROPN
bibechana-4046	103	63	ρ	ρ	PROPN
bibechana-4046	103	64	0	0	NUM
bibechana-4046	103	65	2	2	NUM
bibechana-4046	103	66	048	048	NUM
bibechana-4046	103	67	ch	ch	NOUN
bibechana-4046	103	68	d	d	PROPN
bibechana-4046	103	69	with	with	ADP
bibechana-4046	103	70	the	the	DET
bibechana-4046	103	71	substitution	substitution	NOUN
bibechana-4046	103	72	αρ	αρ	PRON
bibechana-4046	103	73	sin	sin	VERB
bibechana-4046	103	74	4	4	NUM
bibechana-4046	103	75	)	)	PUNCT
bibechana-4046	103	76	8	8	NUM
bibechana-4046	103	77	(	(	PUNCT
bibechana-4046	103	78	0c	0c	NOUN
bibechana-4046	103	79	h+=	h+=	VERB
bibechana-4046	103	80	one	one	PRON
bibechana-4046	103	81	can	can	AUX
bibechana-4046	103	82	easily	easily	ADV
bibechana-4046	103	83	find	find	VERB
bibechana-4046	103	84	sc02	sc02	PROPN
bibechana-4046	103	85	=	=	SYM
bibechana-4046	103	86	α	α	PROPN
bibechana-4046	103	87	&	&	CCONJ
bibechana-4046	103	88	sc	sc	PROPN
bibechana-4046	103	89	c	c	PROPN
bibechana-4046	103	90	h	h	NOUN
bibechana-4046	103	91	0	0	NUM
bibechana-4046	103	92	0	0	NUM
bibechana-4046	103	93	2sin	2sin	NUM
bibechana-4046	103	94	4	4	NUM
bibechana-4046	103	95	)	)	PUNCT
bibechana-4046	103	96	8	8	NUM
bibechana-4046	103	97	(	(	PUNCT
bibechana-4046	103	98	+	+	NOUN
bibechana-4046	103	99	=	=	NOUN
bibechana-4046	103	100	ρ	ρ	X
bibechana-4046	103	101	(	(	PUNCT
bibechana-4046	103	102	55	55	NUM
bibechana-4046	103	103	)	)	PUNCT
bibechana-4046	103	104	using	use	VERB
bibechana-4046	103	105	eqs	eqs	PROPN
bibechana-4046	103	106	.	.	PUNCT
bibechana-4046	104	1	(	(	PUNCT
bibechana-4046	104	2	58	58	NUM
bibechana-4046	104	3	)	)	PUNCT
bibechana-4046	104	4	in	in	ADP
bibechana-4046	104	5	(	(	PUNCT
bibechana-4046	104	6	35	35	NUM
bibechana-4046	104	7	)	)	PUNCT
bibechana-4046	104	8	and	and	CCONJ
bibechana-4046	104	9	(	(	PUNCT
bibechana-4046	104	10	55	55	NUM
bibechana-4046	104	11	)	)	PUNCT
bibechana-4046	104	12	one	one	NOUN
bibechana-4046	104	13	has	have	VERB
bibechana-4046	104	14	t	t	NOUN
bibechana-4046	104	15	=	=	PUNCT
bibechana-4046	104	16	)	)	PUNCT
bibechana-4046	105	1	]	]	X
bibechana-4046	105	2	24sin(4[8	24sin(4[8	NUM
bibechana-4046	105	3	)	)	PUNCT
bibechana-4046	105	4	8	8	NUM
bibechana-4046	105	5	(	(	PUNCT
bibechana-4046	105	6	00000	00000	NUM
bibechana-4046	105	7	sscsccc	sscsccc	NOUN
bibechana-4046	105	8	h	h	PROPN
bibechana-4046	105	9	−−	−−	PROPN
bibechana-4046	105	10	+	+	CCONJ
bibechana-4046	105	11	(	(	PUNCT
bibechana-4046	105	12	56	56	X
bibechana-4046	105	13	)	)	PUNCT
bibechana-4046	105	14	m.r	m.r	PROPN
bibechana-4046	105	15	.	.	PROPN
bibechana-4046	105	16	hassan	hassan	PROPN
bibechana-4046	105	17	and	and	CCONJ
bibechana-4046	105	18	r.r	r.r	PROPN
bibechana-4046	105	19	.	.	PROPN
bibechana-4046	105	20	thapa	thapa	PROPN
bibechana-4046	105	21	/	/	SYM
bibechana-4046	105	22	bibechana	bibechana	PROPN
bibechana-4046	105	23	7	7	NUM
bibechana-4046	105	24	(	(	PUNCT
bibechana-4046	105	25	2011	2011	NUM
bibechana-4046	105	26	)	)	PUNCT
bibechana-4046	105	27	54	54	NUM
bibechana-4046	105	28	-	-	SYM
bibechana-4046	105	29	60	60	NUM
bibechana-4046	105	30	:	:	PUNCT
bibechana-4046	105	31	bmhss	bmhss	PROPN
bibechana-4046	105	32	60	60	NUM
bibechana-4046	105	33	)	)	PUNCT
bibechana-4046	105	34	,	,	PUNCT
bibechana-4046	105	35	2	2	NUM
bibechana-4046	105	36	(	(	PUNCT
bibechana-4046	105	37	1	1	NUM
bibechana-4046	105	38	t	t	NOUN
bibechana-4046	105	39	−=	−=	NOUN
bibechana-4046	105	40	ωθ	ωθ	NUM
bibechana-4046	105	41	)	)	PUNCT
bibechana-4046	105	42	2	2	NUM
bibechana-4046	105	43	(	(	PUNCT
bibechana-4046	105	44	2	2	NUM
bibechana-4046	105	45	t	t	NOUN
bibechana-4046	105	46	−=	−=	VERB
bibechana-4046	105	47	ωϕ	ωϕ	NUM
bibechana-4046	105	48	(	(	PUNCT
bibechana-4046	105	49	57	57	NUM
bibechana-4046	105	50	)	)	PUNCT
bibechana-4046	105	51	where	where	SCONJ
bibechana-4046	105	52	1ω	1ω	NUM
bibechana-4046	105	53	and	and	CCONJ
bibechana-4046	105	54	2ω	2ω	NUM
bibechana-4046	105	55	are	be	AUX
bibechana-4046	105	56	the	the	DET
bibechana-4046	105	57	constants	constant	NOUN
bibechana-4046	105	58	of	of	ADP
bibechana-4046	105	59	integration	integration	NOUN
bibechana-4046	105	60	.	.	PUNCT
bibechana-4046	106	1	thus	thus	ADV
bibechana-4046	106	2	the	the	DET
bibechana-4046	106	3	solutions	solution	NOUN
bibechana-4046	106	4	of	of	ADP
bibechana-4046	106	5	the	the	DET
bibechana-4046	106	6	problem	problem	NOUN
bibechana-4046	106	7	in	in	ADP
bibechana-4046	106	8	question	question	NOUN
bibechana-4046	106	9	at	at	ADP
bibechana-4046	106	10	0=µ	0=µ	NOUN
bibechana-4046	106	11	depend	depend	VERB
bibechana-4046	106	12	upon	upon	SCONJ
bibechana-4046	106	13	three	three	NUM
bibechana-4046	106	14	arbitrary	arbitrary	ADJ
bibechana-4046	106	15	constants	constant	NOUN
bibechana-4046	106	16	h	h	NOUN
bibechana-4046	106	17	,	,	PUNCT
bibechana-4046	106	18	1ω	1ω	NOUN
bibechana-4046	106	19	and	and	CCONJ
bibechana-4046	106	20	2ω	2ω	NUM
bibechana-4046	106	21	.	.	PUNCT
bibechana-4046	107	1	6	6	X
bibechana-4046	107	2	.	.	X
bibechana-4046	107	3	discussion	discussion	NOUN
bibechana-4046	107	4	a	a	DET
bibechana-4046	107	5	system	system	NOUN
bibechana-4046	107	6	of	of	ADP
bibechana-4046	107	7	differential	differential	ADJ
bibechana-4046	107	8	equations	equation	NOUN
bibechana-4046	107	9	may	may	AUX
bibechana-4046	107	10	have	have	VERB
bibechana-4046	107	11	infinitely	infinitely	ADV
bibechana-4046	107	12	many	many	ADJ
bibechana-4046	107	13	generating	generate	VERB
bibechana-4046	107	14	solutions	solution	NOUN
bibechana-4046	107	15	so	so	SCONJ
bibechana-4046	107	16	there	there	PRON
bibechana-4046	107	17	are	be	VERB
bibechana-4046	107	18	many	many	ADJ
bibechana-4046	107	19	possibilities	possibility	NOUN
bibechana-4046	107	20	of	of	ADP
bibechana-4046	107	21	generating	generate	VERB
bibechana-4046	107	22	solutions	solution	NOUN
bibechana-4046	107	23	of	of	ADP
bibechana-4046	107	24	the	the	DET
bibechana-4046	107	25	differential	differential	ADJ
bibechana-4046	107	26	eqs	eqs	PROPN
bibechana-4046	107	27	.	.	PUNCT
bibechana-4046	108	1	(	(	PUNCT
bibechana-4046	108	2	26	26	NUM
bibechana-4046	108	3	)	)	PUNCT
bibechana-4046	108	4	.	.	PUNCT
bibechana-4046	109	1	here	here	ADV
bibechana-4046	109	2	in	in	ADP
bibechana-4046	109	3	our	our	PRON
bibechana-4046	109	4	case	case	NOUN
bibechana-4046	109	5	(	(	PUNCT
bibechana-4046	109	6	50	50	NUM
bibechana-4046	109	7	)	)	PUNCT
bibechana-4046	109	8	represents	represent	VERB
bibechana-4046	109	9	one	one	NUM
bibechana-4046	109	10	set	set	NOUN
bibechana-4046	109	11	of	of	ADP
bibechana-4046	109	12	generating	generating	ADJ
bibechana-4046	109	13	solution	solution	NOUN
bibechana-4046	109	14	for	for	ADP
bibechana-4046	109	15	the	the	DET
bibechana-4046	109	16	satellite	satellite	NOUN
bibechana-4046	109	17	motion	motion	NOUN
bibechana-4046	109	18	.	.	PUNCT
bibechana-4046	110	1	references	reference	NOUN
bibechana-4046	110	2	[	[	X
bibechana-4046	110	3	1	1	NUM
bibechana-4046	110	4	]	]	PUNCT
bibechana-4046	110	5	p.	p.	NOUN
bibechana-4046	110	6	kustaanheimo	kustaanheimo	PROPN
bibechana-4046	110	7	and	and	CCONJ
bibechana-4046	110	8	e.	e.	PROPN
bibechana-4046	110	9	steifel	steifel	PROPN
bibechana-4046	110	10	,	,	PUNCT
bibechana-4046	110	11	j.	j.	PROPN
bibechana-4046	110	12	reine	reine	PROPN
bibechana-4046	110	13	angew	angew	PROPN
bibechana-4046	110	14	math	math	PROPN
bibechana-4046	110	15	.	.	PUNCT
bibechana-4046	111	1	218	218	NUM
bibechana-4046	111	2	(	(	PUNCT
bibechana-4046	111	3	1965	1965	NUM
bibechana-4046	111	4	)	)	PUNCT
bibechana-4046	111	5	204	204	NUM
bibechana-4046	111	6	.	.	PUNCT
bibechana-4046	112	1	[	[	X
bibechana-4046	112	2	2	2	X
bibechana-4046	112	3	]	]	X
bibechana-4046	112	4	g.	g.	PROPN
bibechana-4046	112	5	scheifle	scheifle	PROPN
bibechana-4046	112	6	,	,	PUNCT
bibechana-4046	112	7	,	,	PUNCT
bibechana-4046	112	8	cele	cele	PROPN
bibechana-4046	112	9	.	.	PUNCT
bibechana-4046	112	10	mech	mech	PROPN
bibechana-4046	112	11	.	.	PROPN
bibechana-4046	112	12	,	,	PUNCT
bibechana-4046	112	13	2	2	NUM
bibechana-4046	112	14	(	(	PUNCT
bibechana-4046	112	15	1970)296	1970)296	NUM
bibechana-4046	112	16	.	.	PUNCT
bibechana-4046	113	1	[	[	X
bibechana-4046	113	2	3	3	X
bibechana-4046	113	3	]	]	X
bibechana-4046	113	4	e.	e.	PROPN
bibechana-4046	113	5	stiefel	stiefel	PROPN
bibechana-4046	113	6	,	,	PUNCT
bibechana-4046	113	7	and	and	CCONJ
bibechana-4046	113	8	g.	g.	PROPN
bibechana-4046	113	9	scheifle	scheifle	PROPN
bibechana-4046	113	10	,	,	PUNCT
bibechana-4046	113	11	linear	linear	ADJ
bibechana-4046	113	12	and	and	CCONJ
bibechana-4046	113	13	regular	regular	ADJ
bibechana-4046	113	14	celestial	celestial	ADJ
bibechana-4046	113	15	mechanics	mechanic	NOUN
bibechana-4046	113	16	,	,	PUNCT
bibechana-4046	113	17	berlin	berlin	PROPN
bibechana-4046	113	18	,	,	PUNCT
bibechana-4046	113	19	heidelberg	heidelberg	PROPN
bibechana-4046	113	20	,	,	PUNCT
bibechana-4046	113	21	new	new	ADJ
bibechana-4046	113	22	york,(1971	york,(1971	NOUN
bibechana-4046	113	23	)	)	PUNCT
bibechana-4046	113	24	.	.	PUNCT
bibechana-4046	114	1	[	[	X
bibechana-4046	114	2	4	4	X
bibechana-4046	114	3	]	]	X
bibechana-4046	114	4	i.v	i.v	PROPN
bibechana-4046	114	5	.	.	PUNCT
bibechana-4046	114	6	kurcheeva	kurcheeva	PROPN
bibechana-4046	114	7	,	,	PUNCT
bibechana-4046	114	8	cele	cele	PROPN
bibechana-4046	114	9	.	.	PROPN
bibechana-4046	114	10	mech	mech	PROPN
bibechana-4046	114	11	,	,	PUNCT
bibechana-4046	114	12	15	15	NUM
bibechana-4046	114	13	(	(	PUNCT
bibechana-4046	114	14	1977	1977	NUM
bibechana-4046	114	15	)	)	PUNCT
bibechana-4046	114	16	353	353	NUM
bibechana-4046	114	17	.	.	PUNCT
bibechana-4046	115	1	[	[	X
bibechana-4046	115	2	5	5	NUM
bibechana-4046	115	3	]	]	PUNCT
bibechana-4046	115	4	a.	a.	NOUN
bibechana-4046	115	5	ahmad	ahmad	PROPN
bibechana-4046	115	6	,	,	PUNCT
bibechana-4046	115	7	cele	cele	PROPN
bibechana-4046	115	8	.	.	PROPN
bibechana-4046	115	9	mech	mech	PROPN
bibechana-4046	115	10	&	&	CCONJ
bibechana-4046	115	11	dynamical	dynamical	ADJ
bibechana-4046	115	12	astronomy	astronomy	NOUN
bibechana-4046	115	13	,	,	PUNCT
bibechana-4046	115	14	61	61	NUM
bibechana-4046	115	15	(	(	PUNCT
bibechana-4046	115	16	1995)181	1995)181	NUM
bibechana-4046	115	17	.	.	PUNCT
bibechana-4046	116	1	[	[	X
bibechana-4046	116	2	6	6	NUM
bibechana-4046	116	3	]	]	X
bibechana-4046	116	4	g.a	g.a	PROPN
bibechana-4046	116	5	.	.	PROPN
bibechana-4046	116	6	krashinaski	krashinaski	PROPN
bibechana-4046	116	7	,	,	PUNCT
bibechana-4046	116	8	bull	bull	PROPN
bibechana-4046	116	9	.	.	PUNCT
bibechana-4046	116	10	,	,	PUNCT
bibechana-4046	116	11	i.t.a	i.t.a	INTJ
bibechana-4046	116	12	,	,	PUNCT
bibechana-4046	116	13	9	9	NUM
bibechana-4046	116	14	(	(	PUNCT
bibechana-4046	116	15	1963)205	1963)205	NOUN
bibechana-4046	116	16	.	.	PUNCT
bibechana-4046	117	1	[	[	X
bibechana-4046	117	2	7	7	X
bibechana-4046	117	3	]	]	X
bibechana-4046	117	4	m.r	m.r	PROPN
bibechana-4046	117	5	.	.	PROPN
bibechana-4046	117	6	hassan	hassan	PROPN
bibechana-4046	117	7	,	,	PUNCT
bibechana-4046	117	8	bull	bull	NOUN
bibechana-4046	117	9	.	.	PUNCT
bibechana-4046	118	1	astr	astr	PROPN
bibechana-4046	118	2	.	.	PUNCT
bibechana-4046	118	3	soc	soc	PROPN
bibechana-4046	118	4	.	.	PROPN
bibechana-4046	118	5	,	,	PUNCT
bibechana-4046	118	6	india	india	PROPN
bibechana-4046	118	7	,	,	PUNCT
bibechana-4046	118	8	2001	2001	NUM
bibechana-4046	118	9	.	.	PUNCT