id	sid	tid	token	lemma	pos
ap-1648	1	1	acta	acta	PROPN
ap-1648	1	2	polytechnica	polytechnica	PROPN
ap-1648	1	3	vol	vol	NOUN
ap-1648	1	4	.	.	PROPN
ap-1648	2	1	52	52	NUM
ap-1648	2	2	no	no	NOUN
ap-1648	2	3	.	.	PUNCT
ap-1648	3	1	5/2012	5/2012	NUM
ap-1648	3	2	control	control	NOUN
ap-1648	3	3	algorithms	algorithm	NOUN
ap-1648	3	4	for	for	ADP
ap-1648	3	5	large	large	ADJ
ap-1648	3	6	-	-	PUNCT
ap-1648	3	7	scale	scale	NOUN
ap-1648	3	8	single	single	ADJ
ap-1648	3	9	-	-	PUNCT
ap-1648	3	10	axis	axis	NOUN
ap-1648	3	11	photovoltaic	photovoltaic	NOUN
ap-1648	3	12	trackers	tracker	NOUN
ap-1648	3	13	dorian	dorian	PROPN
ap-1648	3	14	schneider	schneider	PROPN
ap-1648	3	15	institute	institute	PROPN
ap-1648	3	16	of	of	ADP
ap-1648	3	17	imaging	imaging	PROPN
ap-1648	3	18	&	&	CCONJ
ap-1648	3	19	computer	computer	PROPN
ap-1648	3	20	vision	vision	NOUN
ap-1648	3	21	,	,	PUNCT
ap-1648	3	22	rwth	rwth	PROPN
ap-1648	3	23	aachen	aachen	PROPN
ap-1648	3	24	university	university	PROPN
ap-1648	3	25	,	,	PUNCT
ap-1648	3	26	52056	52056	NUM
ap-1648	3	27	aachen	aachen	PROPN
ap-1648	3	28	corresponding	corresponding	ADJ
ap-1648	3	29	author	author	NOUN
ap-1648	3	30	:	:	PUNCT
ap-1648	3	31	schneider@lfb.rwth-aachen.de	schneider@lfb.rwth-aachen.de	PROPN
ap-1648	3	32	abstract	abstract	NOUN
ap-1648	3	33	the	the	DET
ap-1648	3	34	electrical	electrical	ADJ
ap-1648	3	35	yield	yield	NOUN
ap-1648	3	36	of	of	ADP
ap-1648	3	37	large	large	ADJ
ap-1648	3	38	-	-	PUNCT
ap-1648	3	39	scale	scale	NOUN
ap-1648	3	40	photovoltaic	photovoltaic	NOUN
ap-1648	3	41	power	power	NOUN
ap-1648	3	42	plants	plant	NOUN
ap-1648	3	43	can	can	AUX
ap-1648	3	44	be	be	AUX
ap-1648	3	45	greatly	greatly	ADV
ap-1648	3	46	improved	improve	VERB
ap-1648	3	47	by	by	ADP
ap-1648	3	48	employing	employ	VERB
ap-1648	3	49	solar	solar	ADJ
ap-1648	3	50	trackers	tracker	NOUN
ap-1648	3	51	.	.	PUNCT
ap-1648	4	1	while	while	SCONJ
ap-1648	4	2	fixed	fix	VERB
ap-1648	4	3	-	-	PUNCT
ap-1648	4	4	tilt	tilt	NOUN
ap-1648	4	5	superstructures	superstructure	NOUN
ap-1648	4	6	are	be	AUX
ap-1648	4	7	stationary	stationary	ADJ
ap-1648	4	8	and	and	CCONJ
ap-1648	4	9	immobile	immobile	ADJ
ap-1648	4	10	,	,	PUNCT
ap-1648	4	11	trackers	tracker	NOUN
ap-1648	4	12	move	move	VERB
ap-1648	4	13	the	the	DET
ap-1648	4	14	pv	pv	NOUN
ap-1648	4	15	-	-	PUNCT
ap-1648	4	16	module	module	NOUN
ap-1648	4	17	plane	plane	NOUN
ap-1648	4	18	in	in	ADP
ap-1648	4	19	order	order	NOUN
ap-1648	4	20	to	to	PART
ap-1648	4	21	optimize	optimize	VERB
ap-1648	4	22	its	its	PRON
ap-1648	4	23	alignment	alignment	NOUN
ap-1648	4	24	to	to	ADP
ap-1648	4	25	the	the	DET
ap-1648	4	26	sun	sun	NOUN
ap-1648	4	27	.	.	PUNCT
ap-1648	5	1	this	this	DET
ap-1648	5	2	paper	paper	NOUN
ap-1648	5	3	introduces	introduce	VERB
ap-1648	5	4	control	control	NOUN
ap-1648	5	5	algorithms	algorithm	NOUN
ap-1648	5	6	for	for	ADP
ap-1648	5	7	single	single	ADJ
ap-1648	5	8	-	-	PUNCT
ap-1648	5	9	axis	axis	NOUN
ap-1648	5	10	trackers	tracker	NOUN
ap-1648	5	11	(	(	PUNCT
ap-1648	5	12	sat	sit	VERB
ap-1648	5	13	)	)	PUNCT
ap-1648	5	14	,	,	PUNCT
ap-1648	5	15	including	include	VERB
ap-1648	5	16	a	a	DET
ap-1648	5	17	discussion	discussion	NOUN
ap-1648	5	18	for	for	ADP
ap-1648	5	19	optimal	optimal	ADJ
ap-1648	5	20	alignment	alignment	NOUN
ap-1648	5	21	and	and	CCONJ
ap-1648	5	22	backtracking	backtracking	NOUN
ap-1648	5	23	.	.	PUNCT
ap-1648	6	1	the	the	DET
ap-1648	6	2	results	result	NOUN
ap-1648	6	3	are	be	AUX
ap-1648	6	4	used	use	VERB
ap-1648	6	5	to	to	PART
ap-1648	6	6	simulate	simulate	VERB
ap-1648	6	7	and	and	CCONJ
ap-1648	6	8	compare	compare	VERB
ap-1648	6	9	the	the	DET
ap-1648	6	10	electrical	electrical	ADJ
ap-1648	6	11	yield	yield	NOUN
ap-1648	6	12	of	of	ADP
ap-1648	6	13	fixed	fix	VERB
ap-1648	6	14	-	-	PUNCT
ap-1648	6	15	tilt	tilt	NOUN
ap-1648	6	16	and	and	CCONJ
ap-1648	6	17	sat	sit	VERB
ap-1648	6	18	systems	system	NOUN
ap-1648	6	19	.	.	PUNCT
ap-1648	7	1	the	the	DET
ap-1648	7	2	proposed	propose	VERB
ap-1648	7	3	algorithms	algorithm	NOUN
ap-1648	7	4	have	have	AUX
ap-1648	7	5	been	be	AUX
ap-1648	7	6	field	field	NOUN
ap-1648	7	7	tested	test	VERB
ap-1648	7	8	,	,	PUNCT
ap-1648	7	9	and	and	CCONJ
ap-1648	7	10	are	be	AUX
ap-1648	7	11	in	in	ADP
ap-1648	7	12	operation	operation	NOUN
ap-1648	7	13	in	in	ADP
ap-1648	7	14	solar	solar	ADJ
ap-1648	7	15	parks	park	NOUN
ap-1648	7	16	worldwide	worldwide	ADV
ap-1648	7	17	.	.	PUNCT
ap-1648	8	1	keywords	keyword	NOUN
ap-1648	8	2	:	:	PUNCT
ap-1648	8	3	single	single	ADJ
ap-1648	8	4	-	-	PUNCT
ap-1648	8	5	axis	axis	NOUN
ap-1648	8	6	solar	solar	ADJ
ap-1648	8	7	tracker	tracker	NOUN
ap-1648	8	8	,	,	PUNCT
ap-1648	8	9	backtracking	backtracking	NOUN
ap-1648	8	10	,	,	PUNCT
ap-1648	8	11	photovoltaic	photovoltaic	NOUN
ap-1648	8	12	,	,	PUNCT
ap-1648	8	13	sun	sun	NOUN
ap-1648	8	14	tracking	tracking	NOUN
ap-1648	8	15	.	.	PUNCT
ap-1648	9	1	1	1	NUM
ap-1648	9	2	introduction	introduction	NOUN
ap-1648	9	3	the	the	DET
ap-1648	9	4	degree	degree	NOUN
ap-1648	9	5	of	of	ADP
ap-1648	9	6	efficiency	efficiency	NOUN
ap-1648	9	7	of	of	ADP
ap-1648	9	8	photovoltaic	photovoltaic	NOUN
ap-1648	9	9	(	(	PUNCT
ap-1648	9	10	pv	pv	NOUN
ap-1648	9	11	)	)	PUNCT
ap-1648	9	12	power	power	NOUN
ap-1648	9	13	plants	plant	NOUN
ap-1648	9	14	can	can	AUX
ap-1648	9	15	be	be	AUX
ap-1648	9	16	maximized	maximize	VERB
ap-1648	9	17	by	by	ADP
ap-1648	9	18	optimizing	optimize	VERB
ap-1648	9	19	the	the	DET
ap-1648	9	20	alignment	alignment	NOUN
ap-1648	9	21	of	of	ADP
ap-1648	9	22	the	the	DET
ap-1648	9	23	photovoltaic	photovoltaic	NOUN
ap-1648	9	24	module	module	NOUN
ap-1648	9	25	plane	plane	NOUN
ap-1648	9	26	to	to	ADP
ap-1648	9	27	the	the	DET
ap-1648	9	28	current	current	ADJ
ap-1648	9	29	position	position	NOUN
ap-1648	9	30	of	of	ADP
ap-1648	9	31	the	the	DET
ap-1648	9	32	sun	sun	NOUN
ap-1648	9	33	.	.	PUNCT
ap-1648	10	1	unlike	unlike	ADP
ap-1648	10	2	fixed	fix	VERB
ap-1648	10	3	-	-	PUNCT
ap-1648	10	4	tilt	tilt	NOUN
ap-1648	10	5	superstructures	superstructure	NOUN
ap-1648	10	6	,	,	PUNCT
ap-1648	10	7	where	where	SCONJ
ap-1648	10	8	modules	module	NOUN
ap-1648	10	9	are	be	AUX
ap-1648	10	10	placed	place	VERB
ap-1648	10	11	stationary	stationary	ADV
ap-1648	10	12	in	in	ADP
ap-1648	10	13	the	the	DET
ap-1648	10	14	field	field	NOUN
ap-1648	10	15	,	,	PUNCT
ap-1648	10	16	tracking	tracking	NOUN
ap-1648	10	17	superstructures	superstructure	NOUN
ap-1648	10	18	mount	mount	VERB
ap-1648	10	19	the	the	DET
ap-1648	10	20	modules	module	NOUN
ap-1648	10	21	on	on	ADP
ap-1648	10	22	carriers	carrier	NOUN
ap-1648	10	23	able	able	ADJ
ap-1648	10	24	to	to	PART
ap-1648	10	25	rotate	rotate	VERB
ap-1648	10	26	along	along	ADP
ap-1648	10	27	one	one	NUM
ap-1648	10	28	or	or	CCONJ
ap-1648	10	29	two	two	NUM
ap-1648	10	30	axes	axis	NOUN
ap-1648	10	31	in	in	ADP
ap-1648	10	32	order	order	NOUN
ap-1648	10	33	to	to	PART
ap-1648	10	34	maximize	maximize	VERB
ap-1648	10	35	the	the	DET
ap-1648	10	36	electrical	electrical	ADJ
ap-1648	10	37	yield	yield	NOUN
ap-1648	10	38	of	of	ADP
ap-1648	10	39	the	the	DET
ap-1648	10	40	system	system	NOUN
ap-1648	10	41	.	.	PUNCT
ap-1648	11	1	two	two	NUM
ap-1648	11	2	different	different	ADJ
ap-1648	11	3	schemes	scheme	NOUN
ap-1648	11	4	for	for	ADP
ap-1648	11	5	the	the	DET
ap-1648	11	6	construction	construction	NOUN
ap-1648	11	7	of	of	ADP
ap-1648	11	8	a	a	DET
ap-1648	11	9	pvtracker	pvtracker	NOUN
ap-1648	11	10	are	be	AUX
ap-1648	11	11	in	in	ADP
ap-1648	11	12	existence	existence	NOUN
ap-1648	11	13	:	:	PUNCT
ap-1648	11	14	dual	dual	ADJ
ap-1648	11	15	-	-	PUNCT
ap-1648	11	16	axis	axis	NOUN
ap-1648	11	17	trackers	tracker	NOUN
ap-1648	11	18	(	(	PUNCT
ap-1648	11	19	dat	dat	PROPN
ap-1648	11	20	)	)	PUNCT
ap-1648	11	21	are	be	AUX
ap-1648	11	22	provided	provide	VERB
ap-1648	11	23	with	with	ADP
ap-1648	11	24	two	two	NUM
ap-1648	11	25	degrees	degree	NOUN
ap-1648	11	26	of	of	ADP
ap-1648	11	27	freedom	freedom	NOUN
ap-1648	11	28	,	,	PUNCT
ap-1648	11	29	which	which	PRON
ap-1648	11	30	theoretically	theoretically	ADV
ap-1648	11	31	allows	allow	VERB
ap-1648	11	32	optimal	optimal	ADJ
ap-1648	11	33	module	module	NOUN
ap-1648	11	34	-	-	PUNCT
ap-1648	11	35	sun	sun	NOUN
ap-1648	11	36	alignment	alignment	NOUN
ap-1648	11	37	and	and	CCONJ
ap-1648	11	38	hence	hence	ADV
ap-1648	11	39	the	the	DET
ap-1648	11	40	maximum	maximum	ADJ
ap-1648	11	41	possible	possible	ADJ
ap-1648	11	42	yield	yield	NOUN
ap-1648	11	43	at	at	ADP
ap-1648	11	44	any	any	DET
ap-1648	11	45	time	time	NOUN
ap-1648	11	46	.	.	PUNCT
ap-1648	12	1	theoretically	theoretically	ADV
ap-1648	12	2	,	,	PUNCT
ap-1648	12	3	dats	dat	NOUN
ap-1648	12	4	enable	enable	VERB
ap-1648	12	5	a	a	DET
ap-1648	12	6	rise	rise	NOUN
ap-1648	12	7	of	of	ADP
ap-1648	12	8	30–45	30–45	NUM
ap-1648	12	9	%	%	NOUN
ap-1648	12	10	[	[	X
ap-1648	12	11	7	7	NUM
ap-1648	12	12	]	]	PUNCT
ap-1648	12	13	in	in	ADP
ap-1648	12	14	yield	yield	NOUN
ap-1648	12	15	compared	compare	VERB
ap-1648	12	16	to	to	ADP
ap-1648	12	17	an	an	DET
ap-1648	12	18	optimally	optimally	ADV
ap-1648	12	19	-	-	PUNCT
ap-1648	12	20	positioned	position	VERB
ap-1648	12	21	fixed	fix	VERB
ap-1648	12	22	-	-	PUNCT
ap-1648	12	23	tilt	tilt	NOUN
ap-1648	12	24	plant	plant	NOUN
ap-1648	12	25	at	at	ADP
ap-1648	12	26	the	the	DET
ap-1648	12	27	same	same	ADJ
ap-1648	12	28	location	location	NOUN
ap-1648	12	29	.	.	PUNCT
ap-1648	13	1	the	the	DET
ap-1648	13	2	details	detail	NOUN
ap-1648	13	3	for	for	ADP
ap-1648	13	4	tracker	tracker	NOUN
ap-1648	13	5	performances	performance	NOUN
ap-1648	13	6	and	and	CCONJ
ap-1648	13	7	extra	extra	ADJ
ap-1648	13	8	yield	yield	NOUN
ap-1648	13	9	have	have	VERB
ap-1648	13	10	high	high	ADJ
ap-1648	13	11	variance	variance	NOUN
ap-1648	13	12	,	,	PUNCT
ap-1648	13	13	since	since	SCONJ
ap-1648	13	14	they	they	PRON
ap-1648	13	15	depend	depend	VERB
ap-1648	13	16	strongly	strongly	ADV
ap-1648	13	17	on	on	ADP
ap-1648	13	18	the	the	DET
ap-1648	13	19	location	location	NOUN
ap-1648	13	20	where	where	SCONJ
ap-1648	13	21	the	the	DET
ap-1648	13	22	system	system	NOUN
ap-1648	13	23	is	be	AUX
ap-1648	13	24	installed	instal	VERB
ap-1648	13	25	[	[	PUNCT
ap-1648	13	26	4	4	NUM
ap-1648	13	27	]	]	PUNCT
ap-1648	13	28	.	.	PUNCT
ap-1648	14	1	the	the	DET
ap-1648	14	2	benefits	benefit	NOUN
ap-1648	14	3	of	of	ADP
ap-1648	14	4	dats	dat	NOUN
ap-1648	14	5	are	be	AUX
ap-1648	14	6	achieved	achieve	VERB
ap-1648	14	7	at	at	ADP
ap-1648	14	8	the	the	DET
ap-1648	14	9	cost	cost	NOUN
ap-1648	14	10	of	of	ADP
ap-1648	14	11	a	a	DET
ap-1648	14	12	need	need	NOUN
ap-1648	14	13	for	for	ADP
ap-1648	14	14	more	more	ADJ
ap-1648	14	15	space	space	NOUN
ap-1648	14	16	and	and	CCONJ
ap-1648	14	17	at	at	ADP
ap-1648	14	18	the	the	DET
ap-1648	14	19	cost	cost	NOUN
ap-1648	14	20	of	of	ADP
ap-1648	14	21	higher	high	ADJ
ap-1648	14	22	mechanical	mechanical	ADJ
ap-1648	14	23	complexity	complexity	NOUN
ap-1648	14	24	,	,	PUNCT
ap-1648	14	25	leading	lead	VERB
ap-1648	14	26	to	to	ADP
ap-1648	14	27	higher	high	ADJ
ap-1648	14	28	costs	cost	NOUN
ap-1648	14	29	for	for	ADP
ap-1648	14	30	construction	construction	NOUN
ap-1648	14	31	,	,	PUNCT
ap-1648	14	32	planning	planning	NOUN
ap-1648	14	33	and	and	CCONJ
ap-1648	14	34	maintainance	maintainance	NOUN
ap-1648	14	35	.	.	PUNCT
ap-1648	15	1	the	the	DET
ap-1648	15	2	second	second	ADJ
ap-1648	15	3	scheme	scheme	NOUN
ap-1648	15	4	,	,	PUNCT
ap-1648	15	5	single	single	ADJ
ap-1648	15	6	-	-	PUNCT
ap-1648	15	7	axis	axis	NOUN
ap-1648	15	8	trackers	tracker	NOUN
ap-1648	15	9	(	(	PUNCT
ap-1648	15	10	sat	sit	VERB
ap-1648	15	11	)	)	PUNCT
ap-1648	15	12	,	,	PUNCT
ap-1648	15	13	provides	provide	VERB
ap-1648	15	14	only	only	ADV
ap-1648	15	15	one	one	NUM
ap-1648	15	16	degree	degree	NOUN
ap-1648	15	17	of	of	ADP
ap-1648	15	18	freedom	freedom	NOUN
ap-1648	15	19	,	,	PUNCT
ap-1648	15	20	limiting	limit	VERB
ap-1648	15	21	the	the	DET
ap-1648	15	22	tracking	tracking	NOUN
ap-1648	15	23	motion	motion	NOUN
ap-1648	15	24	so	so	SCONJ
ap-1648	15	25	that	that	SCONJ
ap-1648	15	26	perfect	perfect	ADJ
ap-1648	15	27	module	module	NOUN
ap-1648	15	28	-	-	PUNCT
ap-1648	15	29	sun	sun	NOUN
ap-1648	15	30	alignment	alignment	NOUN
ap-1648	15	31	can	can	AUX
ap-1648	15	32	not	not	PART
ap-1648	15	33	always	always	ADV
ap-1648	15	34	be	be	AUX
ap-1648	15	35	provided	provide	VERB
ap-1648	15	36	.	.	PUNCT
ap-1648	16	1	although	although	SCONJ
ap-1648	16	2	the	the	DET
ap-1648	16	3	tracking	tracking	NOUN
ap-1648	16	4	angle	angle	NOUN
ap-1648	16	5	is	be	AUX
ap-1648	16	6	limited	limit	VERB
ap-1648	16	7	,	,	PUNCT
ap-1648	16	8	the	the	DET
ap-1648	16	9	system	system	NOUN
ap-1648	16	10	can	can	AUX
ap-1648	16	11	provide	provide	VERB
ap-1648	16	12	incremented	incremente	VERB
ap-1648	16	13	yields	yield	NOUN
ap-1648	16	14	of	of	ADP
ap-1648	16	15	10–20	10–20	NUM
ap-1648	16	16	%	%	NOUN
ap-1648	16	17	compared	compare	VERB
ap-1648	16	18	to	to	ADP
ap-1648	16	19	a	a	DET
ap-1648	16	20	perfectly	perfectly	ADV
ap-1648	16	21	adjusted	adjust	VERB
ap-1648	16	22	fixed	fix	VERB
ap-1648	16	23	-	-	PUNCT
ap-1648	16	24	tilt	tilt	NOUN
ap-1648	16	25	plant	plant	NOUN
ap-1648	16	26	at	at	ADP
ap-1648	16	27	the	the	DET
ap-1648	16	28	same	same	ADJ
ap-1648	16	29	location	location	NOUN
ap-1648	16	30	.	.	PUNCT
ap-1648	17	1	the	the	DET
ap-1648	17	2	constructional	constructional	ADJ
ap-1648	17	3	complexity	complexity	NOUN
ap-1648	17	4	is	be	AUX
ap-1648	17	5	significantly	significantly	ADV
ap-1648	17	6	lower	low	ADJ
ap-1648	17	7	than	than	ADP
ap-1648	17	8	for	for	ADP
ap-1648	17	9	dats	dat	NOUN
ap-1648	17	10	,	,	PUNCT
ap-1648	17	11	which	which	PRON
ap-1648	17	12	has	have	VERB
ap-1648	17	13	a	a	DET
ap-1648	17	14	positive	positive	ADJ
ap-1648	17	15	effect	effect	NOUN
ap-1648	17	16	on	on	ADP
ap-1648	17	17	the	the	DET
ap-1648	17	18	costs	cost	NOUN
ap-1648	17	19	for	for	ADP
ap-1648	17	20	construction	construction	NOUN
ap-1648	17	21	and	and	CCONJ
ap-1648	17	22	maintainance	maintainance	NOUN
ap-1648	17	23	.	.	PUNCT
ap-1648	18	1	in	in	ADP
ap-1648	18	2	order	order	NOUN
ap-1648	18	3	to	to	PART
ap-1648	18	4	choose	choose	VERB
ap-1648	18	5	the	the	DET
ap-1648	18	6	best	good	ADJ
ap-1648	18	7	system	system	NOUN
ap-1648	18	8	for	for	ADP
ap-1648	18	9	a	a	DET
ap-1648	18	10	power	power	NOUN
ap-1648	18	11	plant	plant	NOUN
ap-1648	18	12	of	of	ADP
ap-1648	18	13	given	give	VERB
ap-1648	18	14	size	size	NOUN
ap-1648	18	15	and	and	CCONJ
ap-1648	18	16	location	location	NOUN
ap-1648	18	17	,	,	PUNCT
ap-1648	18	18	it	it	PRON
ap-1648	18	19	is	be	AUX
ap-1648	18	20	necessary	necessary	ADJ
ap-1648	18	21	to	to	PART
ap-1648	18	22	optimize	optimize	VERB
ap-1648	18	23	the	the	DET
ap-1648	18	24	cost	cost	NOUN
ap-1648	18	25	-	-	PUNCT
ap-1648	18	26	yield	yield	NOUN
ap-1648	18	27	ratio	ratio	NOUN
ap-1648	18	28	of	of	ADP
ap-1648	18	29	the	the	DET
ap-1648	18	30	system	system	NOUN
ap-1648	18	31	.	.	PUNCT
ap-1648	19	1	while	while	SCONJ
ap-1648	19	2	the	the	DET
ap-1648	19	3	costs	cost	NOUN
ap-1648	19	4	for	for	ADP
ap-1648	19	5	construction	construction	NOUN
ap-1648	19	6	and	and	CCONJ
ap-1648	19	7	maintainance	maintainance	NOUN
ap-1648	19	8	can	can	AUX
ap-1648	19	9	be	be	AUX
ap-1648	19	10	estimated	estimate	VERB
ap-1648	19	11	easily	easily	ADV
ap-1648	19	12	,	,	PUNCT
ap-1648	19	13	expected	expect	VERB
ap-1648	19	14	yields	yield	NOUN
ap-1648	19	15	can	can	AUX
ap-1648	19	16	only	only	ADV
ap-1648	19	17	be	be	AUX
ap-1648	19	18	analysed	analyse	VERB
ap-1648	19	19	using	use	VERB
ap-1648	19	20	sophisticated	sophisticated	ADJ
ap-1648	19	21	simulations	simulation	NOUN
ap-1648	19	22	.	.	PUNCT
ap-1648	20	1	while	while	SCONJ
ap-1648	20	2	several	several	ADJ
ap-1648	20	3	algorithms	algorithm	NOUN
ap-1648	20	4	and	and	CCONJ
ap-1648	20	5	control	control	NOUN
ap-1648	20	6	schemes	scheme	NOUN
ap-1648	20	7	for	for	ADP
ap-1648	20	8	high	high	ADJ
ap-1648	20	9	precision	precision	NOUN
ap-1648	20	10	dat	dat	NOUN
ap-1648	20	11	control	control	NOUN
ap-1648	20	12	have	have	AUX
ap-1648	20	13	been	be	AUX
ap-1648	20	14	published	publish	VERB
ap-1648	20	15	[	[	X
ap-1648	20	16	1	1	NUM
ap-1648	20	17	,	,	PUNCT
ap-1648	20	18	2	2	NUM
ap-1648	20	19	,	,	PUNCT
ap-1648	20	20	8	8	NUM
ap-1648	20	21	,	,	PUNCT
ap-1648	20	22	9	9	NUM
ap-1648	20	23	]	]	PUNCT
ap-1648	20	24	,	,	PUNCT
ap-1648	20	25	very	very	ADV
ap-1648	20	26	few	few	ADJ
ap-1648	20	27	publications	publication	NOUN
ap-1648	20	28	have	have	AUX
ap-1648	20	29	handled	handle	VERB
ap-1648	20	30	the	the	DET
ap-1648	20	31	control	control	NOUN
ap-1648	20	32	of	of	ADP
ap-1648	20	33	sats	sat	NOUN
ap-1648	20	34	.	.	PUNCT
ap-1648	21	1	in	in	ADP
ap-1648	21	2	fact	fact	NOUN
ap-1648	21	3	,	,	PUNCT
ap-1648	21	4	the	the	DET
ap-1648	21	5	results	result	NOUN
ap-1648	21	6	found	find	VERB
ap-1648	21	7	in	in	ADP
ap-1648	21	8	[	[	X
ap-1648	21	9	5	5	NUM
ap-1648	21	10	,	,	PUNCT
ap-1648	21	11	6	6	NUM
ap-1648	21	12	]	]	PUNCT
ap-1648	21	13	are	be	AUX
ap-1648	21	14	estimations	estimation	NOUN
ap-1648	21	15	,	,	PUNCT
ap-1648	21	16	and	and	CCONJ
ap-1648	21	17	give	give	VERB
ap-1648	21	18	not	not	PART
ap-1648	21	19	an	an	DET
ap-1648	21	20	exact	exact	ADJ
ap-1648	21	21	solution	solution	NOUN
ap-1648	21	22	for	for	ADP
ap-1648	21	23	the	the	DET
ap-1648	21	24	backtracking	backtracking	NOUN
ap-1648	21	25	problem	problem	NOUN
ap-1648	21	26	.	.	PUNCT
ap-1648	22	1	for	for	ADP
ap-1648	22	2	this	this	DET
ap-1648	22	3	reason	reason	NOUN
ap-1648	22	4	,	,	PUNCT
ap-1648	22	5	our	our	PRON
ap-1648	22	6	paper	paper	NOUN
ap-1648	22	7	introduces	introduce	VERB
ap-1648	22	8	control	control	NOUN
ap-1648	22	9	algorithms	algorithm	NOUN
ap-1648	22	10	for	for	ADP
ap-1648	22	11	sats	sat	NOUN
ap-1648	22	12	which	which	PRON
ap-1648	22	13	allow	allow	VERB
ap-1648	22	14	the	the	DET
ap-1648	22	15	system	system	NOUN
ap-1648	22	16	to	to	PART
ap-1648	22	17	be	be	AUX
ap-1648	22	18	regulated	regulate	VERB
ap-1648	22	19	to	to	ADP
ap-1648	22	20	the	the	DET
ap-1648	22	21	optimal	optimal	ADJ
ap-1648	22	22	position	position	NOUN
ap-1648	22	23	at	at	ADP
ap-1648	22	24	any	any	DET
ap-1648	22	25	time	time	NOUN
ap-1648	22	26	,	,	PUNCT
ap-1648	22	27	without	without	ADP
ap-1648	22	28	the	the	DET
ap-1648	22	29	need	need	NOUN
ap-1648	22	30	for	for	ADP
ap-1648	22	31	any	any	DET
ap-1648	22	32	additional	additional	ADJ
ap-1648	22	33	sensor	sensor	NOUN
ap-1648	22	34	technology	technology	NOUN
ap-1648	22	35	or	or	CCONJ
ap-1648	22	36	hardware	hardware	NOUN
ap-1648	22	37	,	,	PUNCT
ap-1648	22	38	but	but	CCONJ
ap-1648	22	39	using	use	VERB
ap-1648	22	40	the	the	DET
ap-1648	22	41	calculated	calculated	ADJ
ap-1648	22	42	sun	sun	NOUN
ap-1648	22	43	position	position	NOUN
ap-1648	22	44	instead	instead	ADV
ap-1648	22	45	.	.	PUNCT
ap-1648	23	1	the	the	DET
ap-1648	23	2	problem	problem	NOUN
ap-1648	23	3	of	of	ADP
ap-1648	23	4	self	self	NOUN
ap-1648	23	5	-	-	PUNCT
ap-1648	23	6	shadowing	shadowing	NOUN
ap-1648	23	7	is	be	AUX
ap-1648	23	8	addressed	address	VERB
ap-1648	23	9	with	with	ADP
ap-1648	23	10	a	a	DET
ap-1648	23	11	high	high	ADJ
ap-1648	23	12	-	-	PUNCT
ap-1648	23	13	precision	precision	NOUN
ap-1648	23	14	,	,	PUNCT
ap-1648	23	15	field	field	NOUN
ap-1648	23	16	-	-	PUNCT
ap-1648	23	17	tested	test	VERB
ap-1648	23	18	backtracking	backtrack	VERB
ap-1648	23	19	algorithm	algorithm	NOUN
ap-1648	23	20	.	.	PUNCT
ap-1648	24	1	the	the	DET
ap-1648	24	2	results	result	NOUN
ap-1648	24	3	are	be	AUX
ap-1648	24	4	used	use	VERB
ap-1648	24	5	for	for	ADP
ap-1648	24	6	a	a	DET
ap-1648	24	7	basic	basic	ADJ
ap-1648	24	8	energy	energy	NOUN
ap-1648	24	9	yield	yield	NOUN
ap-1648	24	10	analysis	analysis	NOUN
ap-1648	24	11	.	.	PUNCT
ap-1648	25	1	the	the	DET
ap-1648	25	2	structure	structure	NOUN
ap-1648	25	3	of	of	ADP
ap-1648	25	4	the	the	DET
ap-1648	25	5	paper	paper	NOUN
ap-1648	25	6	is	be	AUX
ap-1648	25	7	as	as	SCONJ
ap-1648	25	8	follows	follow	VERB
ap-1648	25	9	.	.	PUNCT
ap-1648	26	1	in	in	ADP
ap-1648	26	2	section	section	NOUN
ap-1648	26	3	2	2	NUM
ap-1648	26	4	,	,	PUNCT
ap-1648	26	5	the	the	DET
ap-1648	26	6	nomenclature	nomenclature	NOUN
ap-1648	26	7	and	and	CCONJ
ap-1648	26	8	coordinate	coordinate	NOUN
ap-1648	26	9	system	system	NOUN
ap-1648	26	10	for	for	ADP
ap-1648	26	11	later	later	ADJ
ap-1648	26	12	sections	section	NOUN
ap-1648	26	13	are	be	AUX
ap-1648	26	14	defined	define	VERB
ap-1648	26	15	.	.	PUNCT
ap-1648	27	1	section	section	NOUN
ap-1648	27	2	3	3	NUM
ap-1648	27	3	handles	handle	VERB
ap-1648	27	4	the	the	DET
ap-1648	27	5	basic	basic	ADJ
ap-1648	27	6	mathematical	mathematical	ADJ
ap-1648	27	7	equations	equation	NOUN
ap-1648	27	8	for	for	ADP
ap-1648	27	9	naive	naive	ADJ
ap-1648	27	10	tracking	tracking	NOUN
ap-1648	27	11	,	,	PUNCT
ap-1648	27	12	allowing	allow	VERB
ap-1648	27	13	the	the	DET
ap-1648	27	14	system	system	NOUN
ap-1648	27	15	to	to	PART
ap-1648	27	16	find	find	VERB
ap-1648	27	17	the	the	DET
ap-1648	27	18	rotation	rotation	NOUN
ap-1648	27	19	angle	angle	NOUN
ap-1648	27	20	that	that	PRON
ap-1648	27	21	maximizes	maximize	VERB
ap-1648	27	22	the	the	DET
ap-1648	27	23	yield	yield	NOUN
ap-1648	27	24	for	for	ADP
ap-1648	27	25	a	a	DET
ap-1648	27	26	given	give	VERB
ap-1648	27	27	sun	sun	NOUN
ap-1648	27	28	position	position	NOUN
ap-1648	27	29	.	.	PUNCT
ap-1648	28	1	since	since	SCONJ
ap-1648	28	2	the	the	DET
ap-1648	28	3	system	system	NOUN
ap-1648	28	4	should	should	AUX
ap-1648	28	5	avoid	avoid	VERB
ap-1648	28	6	self	self	NOUN
ap-1648	28	7	-	-	PUNCT
ap-1648	28	8	shadowing	shadowing	NOUN
ap-1648	28	9	by	by	ADP
ap-1648	28	10	all	all	DET
ap-1648	28	11	means	mean	NOUN
ap-1648	28	12	,	,	PUNCT
ap-1648	28	13	a	a	DET
ap-1648	28	14	backtracking	backtrack	VERB
ap-1648	28	15	algorithm	algorithm	NOUN
ap-1648	28	16	that	that	PRON
ap-1648	28	17	finds	find	VERB
ap-1648	28	18	the	the	DET
ap-1648	28	19	optimal	optimal	ADJ
ap-1648	28	20	shadow	shadow	NOUN
ap-1648	28	21	free	free	ADJ
ap-1648	28	22	rotation	rotation	NOUN
ap-1648	28	23	angle	angle	NOUN
ap-1648	28	24	is	be	AUX
ap-1648	28	25	discussed	discuss	VERB
ap-1648	28	26	in	in	ADP
ap-1648	28	27	section	section	NOUN
ap-1648	28	28	4	4	NUM
ap-1648	28	29	.	.	PUNCT
ap-1648	29	1	the	the	DET
ap-1648	29	2	results	result	NOUN
ap-1648	29	3	are	be	AUX
ap-1648	29	4	affiliated	affiliate	VERB
ap-1648	29	5	in	in	ADP
ap-1648	29	6	section	section	NOUN
ap-1648	29	7	5	5	NUM
ap-1648	29	8	to	to	PART
ap-1648	29	9	simulate	simulate	VERB
ap-1648	29	10	sat	sit	VERB
ap-1648	29	11	yield	yield	NOUN
ap-1648	29	12	expectations	expectation	NOUN
ap-1648	29	13	for	for	ADP
ap-1648	29	14	different	different	ADJ
ap-1648	29	15	latitudes	latitude	NOUN
ap-1648	29	16	and	and	CCONJ
ap-1648	29	17	superstructure	superstructure	NOUN
ap-1648	29	18	settings	setting	NOUN
ap-1648	29	19	in	in	ADP
ap-1648	29	20	matlab	matlab	PROPN
ap-1648	29	21	/	/	SYM
ap-1648	29	22	simulink	simulink	PROPN
ap-1648	29	23	.	.	PUNCT
ap-1648	30	1	section	section	NOUN
ap-1648	30	2	6	6	NUM
ap-1648	30	3	discusses	discuss	VERB
ap-1648	30	4	the	the	DET
ap-1648	30	5	results	result	NOUN
ap-1648	30	6	,	,	PUNCT
ap-1648	30	7	and	and	CCONJ
ap-1648	30	8	section	section	NOUN
ap-1648	30	9	7	7	NUM
ap-1648	30	10	concludes	conclude	VERB
ap-1648	30	11	the	the	DET
ap-1648	30	12	work	work	NOUN
ap-1648	30	13	.	.	PUNCT
ap-1648	31	1	2	2	NUM
ap-1648	31	2	coordinate	coordinate	NOUN
ap-1648	31	3	system	system	NOUN
ap-1648	31	4	we	we	PRON
ap-1648	31	5	define	define	VERB
ap-1648	31	6	the	the	DET
ap-1648	31	7	nomenclature	nomenclature	NOUN
ap-1648	31	8	and	and	CCONJ
ap-1648	31	9	coordinate	coordinate	NOUN
ap-1648	31	10	system	system	NOUN
ap-1648	31	11	that	that	PRON
ap-1648	31	12	is	be	AUX
ap-1648	31	13	used	use	VERB
ap-1648	31	14	throughout	throughout	ADP
ap-1648	31	15	the	the	DET
ap-1648	31	16	subsequent	subsequent	ADJ
ap-1648	31	17	sections	section	NOUN
ap-1648	31	18	.	.	PUNCT
ap-1648	32	1	due	due	ADP
ap-1648	32	2	to	to	ADP
ap-1648	32	3	the	the	DET
ap-1648	32	4	rotational	rotational	ADJ
ap-1648	32	5	movement	movement	NOUN
ap-1648	32	6	of	of	ADP
ap-1648	32	7	the	the	DET
ap-1648	32	8	sun	sun	NOUN
ap-1648	32	9	,	,	PUNCT
ap-1648	32	10	a	a	DET
ap-1648	32	11	polar	polar	ADJ
ap-1648	32	12	coordinate	coordinate	NOUN
ap-1648	32	13	system	system	NOUN
ap-1648	32	14	is	be	AUX
ap-1648	32	15	used	use	VERB
ap-1648	32	16	,	,	PUNCT
ap-1648	32	17	as	as	SCONJ
ap-1648	32	18	illustrated	illustrate	VERB
ap-1648	32	19	in	in	ADP
ap-1648	32	20	fig	fig	NOUN
ap-1648	32	21	.	.	PUNCT
ap-1648	33	1	1	1	NUM
ap-1648	33	2	:	:	PUNCT
ap-1648	33	3	here	here	ADV
ap-1648	33	4	,	,	PUNCT
ap-1648	33	5	the	the	DET
ap-1648	33	6	azimuth	azimuth	PROPN
ap-1648	33	7	angle	angle	PROPN
ap-1648	33	8	φ	φ	PROPN
ap-1648	33	9	is	be	AUX
ap-1648	33	10	given	give	VERB
ap-1648	33	11	by	by	ADP
ap-1648	33	12	the	the	DET
ap-1648	33	13	angle	angle	NOUN
ap-1648	33	14	between	between	ADP
ap-1648	33	15	the	the	DET
ap-1648	33	16	orthogonal	orthogonal	ADJ
ap-1648	33	17	projection	projection	NOUN
ap-1648	33	18	of	of	ADP
ap-1648	33	19	the	the	DET
ap-1648	33	20	sun	sun	NOUN
ap-1648	33	21	vector	vector	NOUN
ap-1648	33	22	s	s	NOUN
ap-1648	33	23	to	to	ADP
ap-1648	33	24	the	the	DET
ap-1648	33	25	86	86	NUM
ap-1648	33	26	acta	acta	PROPN
ap-1648	33	27	polytechnica	polytechnica	PROPN
ap-1648	33	28	vol	vol	NOUN
ap-1648	33	29	.	.	PUNCT
ap-1648	34	1	52	52	NUM
ap-1648	34	2	no	no	NOUN
ap-1648	34	3	.	.	PUNCT
ap-1648	35	1	5/2012	5/2012	PROPN
ap-1648	35	2	s	s	PART
ap-1648	35	3	axis	axis	NOUN
ap-1648	35	4	of	of	ADP
ap-1648	35	5	rotation	rotation	NOUN
ap-1648	35	6	axis	axis	NOUN
ap-1648	35	7	of	of	ADP
ap-1648	35	8	rotation	rotation	NOUN
ap-1648	35	9	north	north	PROPN
ap-1648	35	10	south	south	PROPN
ap-1648	35	11	y	y	PROPN
ap-1648	36	1	x	x	PUNCT
ap-1648	36	2	z	z	PROPN
ap-1648	36	3	p	p	X
ap-1648	36	4	east	east	PROPN
ap-1648	36	5	west	west	PROPN
ap-1648	36	6	θ	θ	PROPN
ap-1648	36	7	90−θ	90−θ	NUM
ap-1648	36	8	elevation	elevation	NOUN
ap-1648	36	9	angle	angle	NOUN
ap-1648	36	10	azimuth	azimuth	PROPN
ap-1648	36	11	northsouth	northsouth	PROPN
ap-1648	36	12	zenith	zenith	PROPN
ap-1648	36	13	sun	sun	PROPN
ap-1648	36	14	sun	sun	PROPN
ap-1648	36	15	rotation	rotation	PROPN
ap-1648	36	16	φ	φ	PROPN
ap-1648	36	17	zax	zax	PROPN
ap-1648	36	18	is	be	AUX
ap-1648	36	19	west	west	ADJ
ap-1648	36	20	x	x	ADJ
ap-1648	36	21	-	-	NOUN
ap-1648	36	22	axis	axis	ADJ
ap-1648	36	23	a	a	DET
ap-1648	36	24	:	:	PUNCT
ap-1648	36	25	21,6	21,6	NUM
ap-1648	36	26	m	m	NOUN
ap-1648	36	27	d	d	NOUN
ap-1648	36	28	:	:	PUNCT
ap-1648	36	29	8,4	8,4	NUM
ap-1648	36	30	m	m	NOUN
ap-1648	36	31	h	h	NOUN
ap-1648	36	32	:	:	PUNCT
ap-1648	36	33	3	3	NUM
ap-1648	36	34	,	,	PUNCT
ap-1648	36	35	5	5	NUM
ap-1648	36	36	m	m	NOUN
ap-1648	36	37	figure	figure	NOUN
ap-1648	36	38	1	1	NUM
ap-1648	36	39	:	:	PUNCT
ap-1648	36	40	schemes	scheme	NOUN
ap-1648	36	41	of	of	ADP
ap-1648	36	42	the	the	DET
ap-1648	36	43	sat	sit	VERB
ap-1648	36	44	coordinate	coordinate	NOUN
ap-1648	36	45	system	system	NOUN
ap-1648	36	46	.	.	PUNCT
ap-1648	37	1	left	leave	VERB
ap-1648	37	2	:	:	PUNCT
ap-1648	37	3	illustration	illustration	NOUN
ap-1648	37	4	of	of	ADP
ap-1648	37	5	the	the	DET
ap-1648	37	6	sun	sun	NOUN
ap-1648	37	7	azimuth	azimuth	NOUN
ap-1648	37	8	and	and	CCONJ
ap-1648	37	9	elevation	elevation	NOUN
ap-1648	37	10	angles	angle	NOUN
ap-1648	37	11	.	.	PUNCT
ap-1648	38	1	right	right	ADJ
ap-1648	38	2	:	:	PUNCT
ap-1648	39	1	illustration	illustration	NOUN
ap-1648	39	2	of	of	ADP
ap-1648	39	3	three	three	NUM
ap-1648	39	4	adjacent	adjacent	ADJ
ap-1648	39	5	sats	sat	NOUN
ap-1648	39	6	with	with	ADP
ap-1648	39	7	corresponding	corresponding	ADJ
ap-1648	39	8	distances	distance	NOUN
ap-1648	39	9	and	and	CCONJ
ap-1648	39	10	annotations	annotation	NOUN
ap-1648	39	11	.	.	PUNCT
ap-1648	40	1	xy	xy	NOUN
ap-1648	40	2	-	-	PUNCT
ap-1648	40	3	plane	plane	NOUN
ap-1648	40	4	and	and	CCONJ
ap-1648	40	5	the	the	DET
ap-1648	40	6	x	x	NOUN
ap-1648	40	7	-	-	NOUN
ap-1648	40	8	axis	axis	ADJ
ap-1648	40	9	(	(	PUNCT
ap-1648	40	10	north	north	NOUN
ap-1648	40	11	-	-	PUNCT
ap-1648	40	12	south	south	NOUN
ap-1648	40	13	axis	axis	NOUN
ap-1648	40	14	)	)	PUNCT
ap-1648	40	15	.	.	PUNCT
ap-1648	41	1	the	the	DET
ap-1648	41	2	azimuth	azimuth	NOUN
ap-1648	41	3	takes	take	VERB
ap-1648	41	4	positive	positive	ADJ
ap-1648	41	5	values	value	NOUN
ap-1648	41	6	[	[	X
ap-1648	41	7	+180	+180	X
ap-1648	41	8	°	°	NUM
ap-1648	41	9	,	,	PUNCT
ap-1648	41	10	0	0	NUM
ap-1648	41	11	°	°	PROPN
ap-1648	41	12	[	[	PUNCT
ap-1648	41	13	when	when	SCONJ
ap-1648	41	14	the	the	DET
ap-1648	41	15	sun	sun	NOUN
ap-1648	41	16	is	be	AUX
ap-1648	41	17	eastward	eastward	ADJ
ap-1648	41	18	,	,	PUNCT
ap-1648	41	19	and	and	CCONJ
ap-1648	41	20	negative	negative	ADJ
ap-1648	41	21	values	value	NOUN
ap-1648	41	22	]	]	X
ap-1648	41	23	0	0	NUM
ap-1648	41	24	°	°	NUM
ap-1648	41	25	,−180	,−180	PUNCT
ap-1648	41	26	°	°	PRON
ap-1648	41	27	]	]	X
ap-1648	41	28	when	when	SCONJ
ap-1648	41	29	it	it	PRON
ap-1648	41	30	is	be	AUX
ap-1648	41	31	westward	westward	ADV
ap-1648	41	32	.	.	PUNCT
ap-1648	42	1	it	it	PRON
ap-1648	42	2	is	be	AUX
ap-1648	42	3	zero	zero	NUM
ap-1648	42	4	when	when	SCONJ
ap-1648	42	5	the	the	DET
ap-1648	42	6	sun	sun	NOUN
ap-1648	42	7	is	be	AUX
ap-1648	42	8	in	in	ADP
ap-1648	42	9	the	the	DET
ap-1648	42	10	south	south	NOUN
ap-1648	42	11	.	.	PUNCT
ap-1648	43	1	the	the	DET
ap-1648	43	2	zenith	zenith	PROPN
ap-1648	43	3	angle	angle	NOUN
ap-1648	43	4	θ	θ	PROPN
ap-1648	43	5	gives	give	VERB
ap-1648	43	6	an	an	DET
ap-1648	43	7	indication	indication	NOUN
ap-1648	43	8	for	for	ADP
ap-1648	43	9	the	the	DET
ap-1648	43	10	sun	sun	NOUN
ap-1648	43	11	altitude	altitude	NOUN
ap-1648	43	12	by	by	ADP
ap-1648	43	13	measuring	measure	VERB
ap-1648	43	14	the	the	DET
ap-1648	43	15	angle	angle	NOUN
ap-1648	43	16	between	between	ADP
ap-1648	43	17	the	the	DET
ap-1648	43	18	orthogonal	orthogonal	ADJ
ap-1648	43	19	projection	projection	NOUN
ap-1648	43	20	of	of	ADP
ap-1648	43	21	the	the	DET
ap-1648	43	22	sun	sun	NOUN
ap-1648	43	23	vector	vector	NOUN
ap-1648	43	24	s	s	NOUN
ap-1648	43	25	to	to	ADP
ap-1648	43	26	the	the	DET
ap-1648	43	27	xy	xy	NOUN
ap-1648	43	28	-	-	PUNCT
ap-1648	43	29	plane	plane	NOUN
ap-1648	43	30	and	and	CCONJ
ap-1648	43	31	the	the	DET
ap-1648	43	32	z	z	NOUN
ap-1648	43	33	-	-	PUNCT
ap-1648	43	34	axis	axis	NOUN
ap-1648	43	35	.	.	PUNCT
ap-1648	44	1	the	the	DET
ap-1648	44	2	sun	sun	NOUN
ap-1648	44	3	elevation	elevation	NOUN
ap-1648	44	4	θe	θe	ADP
ap-1648	44	5	angle	angle	NOUN
ap-1648	44	6	is	be	AUX
ap-1648	44	7	then	then	ADV
ap-1648	44	8	given	give	VERB
ap-1648	44	9	by	by	ADP
ap-1648	44	10	90	90	NUM
ap-1648	44	11	°	°	PROPN
ap-1648	44	12	−	−	NUM
ap-1648	44	13	θ	θ	PROPN
ap-1648	44	14	.	.	PUNCT
ap-1648	45	1	an	an	DET
ap-1648	45	2	optimal	optimal	ADJ
ap-1648	45	3	sat	sit	VERB
ap-1648	45	4	alignment	alignment	NOUN
ap-1648	45	5	would	would	AUX
ap-1648	45	6	be	be	AUX
ap-1648	45	7	lengthwise	lengthwise	ADJ
ap-1648	45	8	,	,	PUNCT
ap-1648	45	9	parallel	parallel	ADJ
ap-1648	45	10	to	to	ADP
ap-1648	45	11	the	the	DET
ap-1648	45	12	x	x	NOUN
ap-1648	45	13	-	-	NOUN
ap-1648	45	14	axis	axis	NOUN
ap-1648	45	15	of	of	ADP
ap-1648	45	16	the	the	DET
ap-1648	45	17	coordinate	coordinate	NOUN
ap-1648	45	18	system	system	NOUN
ap-1648	45	19	,	,	PUNCT
ap-1648	45	20	i.e.	i.e.	X
ap-1648	45	21	perpendicular	perpendicular	ADJ
ap-1648	45	22	to	to	ADP
ap-1648	45	23	the	the	DET
ap-1648	45	24	east	east	PROPN
ap-1648	45	25	-	-	PUNCT
ap-1648	45	26	west	west	PROPN
ap-1648	45	27	axis	axis	NOUN
ap-1648	45	28	.	.	PUNCT
ap-1648	46	1	if	if	SCONJ
ap-1648	46	2	the	the	DET
ap-1648	46	3	environmental	environmental	ADJ
ap-1648	46	4	setting	setting	NOUN
ap-1648	46	5	of	of	ADP
ap-1648	46	6	the	the	DET
ap-1648	46	7	power	power	NOUN
ap-1648	46	8	plant	plant	NOUN
ap-1648	46	9	prohibits	prohibit	VERB
ap-1648	46	10	optimal	optimal	ADJ
ap-1648	46	11	alignment	alignment	NOUN
ap-1648	46	12	of	of	ADP
ap-1648	46	13	the	the	DET
ap-1648	46	14	sat	sit	VERB
ap-1648	46	15	superstructure	superstructure	NOUN
ap-1648	46	16	,	,	PUNCT
ap-1648	46	17	a	a	DET
ap-1648	46	18	deviation	deviation	NOUN
ap-1648	46	19	angle	angle	NOUN
ap-1648	46	20	η	η	PROPN
ap-1648	46	21	occurs	occur	VERB
ap-1648	46	22	,	,	PUNCT
ap-1648	46	23	as	as	SCONJ
ap-1648	46	24	illustrated	illustrate	VERB
ap-1648	46	25	in	in	ADP
ap-1648	46	26	fig	fig	NOUN
ap-1648	46	27	.	.	PUNCT
ap-1648	47	1	2	2	NUM
ap-1648	47	2	.	.	X
ap-1648	47	3	as	as	ADP
ap-1648	47	4	nomenclature	nomenclature	NOUN
ap-1648	47	5	we	we	PRON
ap-1648	47	6	define	define	VERB
ap-1648	47	7	η	η	X
ap-1648	47	8	<	<	X
ap-1648	47	9	0	0	NUM
ap-1648	47	10	for	for	ADP
ap-1648	47	11	clockwise	clockwise	NOUN
ap-1648	47	12	rotation	rotation	NOUN
ap-1648	47	13	and	and	CCONJ
ap-1648	47	14	η	η	X
ap-1648	47	15	>	>	X
ap-1648	47	16	0	0	PROPN
ap-1648	47	17	for	for	ADP
ap-1648	47	18	counter	counter	ADJ
ap-1648	47	19	-	-	NOUN
ap-1648	47	20	clockwise	clockwise	NOUN
ap-1648	47	21	rotation	rotation	NOUN
ap-1648	47	22	.	.	PUNCT
ap-1648	48	1	for	for	ADP
ap-1648	48	2	simplicity	simplicity	NOUN
ap-1648	48	3	,	,	PUNCT
ap-1648	48	4	we	we	PRON
ap-1648	48	5	do	do	AUX
ap-1648	48	6	not	not	PART
ap-1648	48	7	rotate	rotate	VERB
ap-1648	48	8	the	the	DET
ap-1648	48	9	sat	sit	VERB
ap-1648	48	10	system	system	NOUN
ap-1648	48	11	,	,	PUNCT
ap-1648	48	12	but	but	CCONJ
ap-1648	48	13	we	we	PRON
ap-1648	48	14	rotate	rotate	VERB
ap-1648	48	15	the	the	DET
ap-1648	48	16	sun	sun	NOUN
ap-1648	48	17	azimuth	azimuth	NOUN
ap-1648	48	18	instead	instead	ADV
ap-1648	48	19	.	.	PUNCT
ap-1648	49	1	the	the	DET
ap-1648	49	2	new	new	ADJ
ap-1648	49	3	sun	sun	NOUN
ap-1648	49	4	azimuth	azimuth	NOUN
ap-1648	49	5	becomes	become	VERB
ap-1648	49	6	φη	φη	ADP
ap-1648	49	7	=	=	PUNCT
ap-1648	49	8	φ−	φ−	PROPN
ap-1648	49	9	η	η	PROPN
ap-1648	49	10	.	.	PROPN
ap-1648	49	11	(	(	PUNCT
ap-1648	49	12	1	1	X
ap-1648	49	13	)	)	PUNCT
ap-1648	49	14	one	one	NOUN
ap-1648	49	15	can	can	AUX
ap-1648	49	16	easily	easily	ADV
ap-1648	49	17	convert	convert	VERB
ap-1648	49	18	between	between	ADP
ap-1648	49	19	polar	polar	ADJ
ap-1648	49	20	and	and	CCONJ
ap-1648	49	21	cartesian	cartesian	ADJ
ap-1648	49	22	coordinates	coordinate	NOUN
ap-1648	49	23	using	use	VERB
ap-1648	49	24	:	:	PUNCT
ap-1648	49	25	xs	xs	PROPN
ap-1648	49	26	=	=	PUNCT
ap-1648	49	27	r	r	NOUN
ap-1648	49	28	cosφη	cosφη	NOUN
ap-1648	49	29	sin	sin	NOUN
ap-1648	49	30	θe	θe	ADP
ap-1648	49	31	,	,	PUNCT
ap-1648	49	32	(	(	PUNCT
ap-1648	49	33	2	2	NUM
ap-1648	49	34	)	)	PUNCT
ap-1648	49	35	ys	ys	NOUN
ap-1648	50	1	=	=	NOUN
ap-1648	50	2	r	r	NOUN
ap-1648	50	3	sinφη	sinφη	NOUN
ap-1648	50	4	sin	sin	NOUN
ap-1648	50	5	θe	θe	ADP
ap-1648	50	6	,	,	PUNCT
ap-1648	50	7	(	(	PUNCT
ap-1648	50	8	3	3	NUM
ap-1648	50	9	)	)	PUNCT
ap-1648	50	10	zs	zs	NOUN
ap-1648	51	1	=	=	SYM
ap-1648	51	2	r	r	NOUN
ap-1648	51	3	cos	cos	PROPN
ap-1648	51	4	θe	θe	PROPN
ap-1648	51	5	.	.	PROPN
ap-1648	51	6	(	(	PUNCT
ap-1648	51	7	4	4	NUM
ap-1648	51	8	)	)	SYM
ap-1648	51	9	2.1	2.1	NUM
ap-1648	51	10	sun	sun	NOUN
ap-1648	51	11	path	path	NOUN
ap-1648	51	12	mirroring	mirror	VERB
ap-1648	51	13	the	the	DET
ap-1648	51	14	sun	sun	NOUN
ap-1648	51	15	starts	start	VERB
ap-1648	51	16	its	its	PRON
ap-1648	51	17	course	course	NOUN
ap-1648	51	18	early	early	ADV
ap-1648	51	19	in	in	ADP
ap-1648	51	20	the	the	DET
ap-1648	51	21	day	day	NOUN
ap-1648	51	22	in	in	ADP
ap-1648	51	23	the	the	DET
ap-1648	51	24	east	east	NOUN
ap-1648	51	25	,	,	PUNCT
ap-1648	51	26	reaches	reach	VERB
ap-1648	51	27	the	the	DET
ap-1648	51	28	south	south	NOUN
ap-1648	51	29	around	around	ADP
ap-1648	51	30	noon	noon	NOUN
ap-1648	51	31	,	,	PUNCT
ap-1648	51	32	and	and	CCONJ
ap-1648	51	33	ends	end	VERB
ap-1648	51	34	its	its	PRON
ap-1648	51	35	path	path	NOUN
ap-1648	51	36	in	in	ADP
ap-1648	51	37	the	the	DET
ap-1648	51	38	evening	evening	NOUN
ap-1648	51	39	in	in	ADP
ap-1648	51	40	the	the	DET
ap-1648	51	41	west	west	NOUN
ap-1648	51	42	.	.	PUNCT
ap-1648	52	1	the	the	DET
ap-1648	52	2	course	course	NOUN
ap-1648	52	3	of	of	ADP
ap-1648	52	4	the	the	DET
ap-1648	52	5	sun	sun	NOUN
ap-1648	52	6	is	be	AUX
ap-1648	52	7	always	always	ADV
ap-1648	52	8	symmetric	symmetric	ADJ
ap-1648	52	9	with	with	ADP
ap-1648	52	10	regard	regard	NOUN
ap-1648	52	11	to	to	ADP
ap-1648	52	12	the	the	DET
ap-1648	52	13	north	north	NOUN
ap-1648	52	14	-	-	PUNCT
ap-1648	52	15	south	south	NOUN
ap-1648	52	16	axis	axis	NOUN
ap-1648	52	17	.	.	PUNCT
ap-1648	53	1	this	this	DET
ap-1648	53	2	fact	fact	NOUN
ap-1648	53	3	is	be	AUX
ap-1648	53	4	exploited	exploit	VERB
ap-1648	53	5	to	to	PART
ap-1648	53	6	further	far	ADV
ap-1648	53	7	simplify	simplify	VERB
ap-1648	53	8	the	the	DET
ap-1648	53	9	subsequent	subsequent	ADJ
ap-1648	53	10	calculations	calculation	NOUN
ap-1648	53	11	:	:	PUNCT
ap-1648	53	12	a	a	DET
ap-1648	53	13	variable	variable	ADJ
ap-1648	53	14	δ	δ	PROPN
ap-1648	53	15	is	be	AUX
ap-1648	53	16	introduced	introduce	VERB
ap-1648	53	17	,	,	PUNCT
ap-1648	53	18	according	accord	VERB
ap-1648	53	19	to	to	ADP
ap-1648	53	20	:	:	PUNCT
ap-1648	53	21	δ	δ	X
ap-1648	53	22	=	=	PRON
ap-1648	53	23	{	{	PUNCT
ap-1648	53	24	+1	+1	PROPN
ap-1648	53	25	sun	sun	NOUN
ap-1648	53	26	is	be	AUX
ap-1648	53	27	in	in	ADP
ap-1648	53	28	the	the	DET
ap-1648	53	29	east	east	NOUN
ap-1648	53	30	,	,	PUNCT
ap-1648	53	31	i.e.	i.e.	X
ap-1648	53	32	ψη	ψη	ADP
ap-1648	53	33	∈	∈	NOUN
ap-1648	53	34	]	]	X
ap-1648	53	35	0	0	NUM
ap-1648	53	36	◦	◦	NOUN
ap-1648	53	37	,	,	PUNCT
ap-1648	53	38	180	180	NUM
ap-1648	53	39	◦	◦	NOUN
ap-1648	53	40	]	]	PUNCT
ap-1648	53	41	,	,	PUNCT
ap-1648	53	42	−1	−1	NOUN
ap-1648	53	43	sun	sun	NOUN
ap-1648	53	44	is	be	AUX
ap-1648	53	45	in	in	ADP
ap-1648	53	46	the	the	DET
ap-1648	53	47	west	west	NOUN
ap-1648	53	48	,	,	PUNCT
ap-1648	53	49	i.e.	i.e.	X
ap-1648	53	50	ψη	ψη	ADP
ap-1648	53	51	∈	∈	NOUN
ap-1648	53	52	]	]	PUNCT
ap-1648	53	53	−180	−180	PROPN
ap-1648	53	54	◦	◦	NOUN
ap-1648	53	55	,	,	PUNCT
ap-1648	53	56	0	0	NUM
ap-1648	53	57	◦	◦	NOUN
ap-1648	53	58	]	]	PUNCT
ap-1648	53	59	.	.	PUNCT
ap-1648	54	1	using	use	VERB
ap-1648	54	2	δ	δ	PROPN
ap-1648	54	3	,	,	PUNCT
ap-1648	54	4	the	the	DET
ap-1648	54	5	system	system	NOUN
ap-1648	54	6	behaviour	behaviour	NOUN
ap-1648	54	7	must	must	AUX
ap-1648	54	8	only	only	ADV
ap-1648	54	9	be	be	AUX
ap-1648	54	10	calculated	calculate	VERB
ap-1648	54	11	once	once	ADV
ap-1648	54	12	during	during	ADP
ap-1648	54	13	simulation	simulation	NOUN
ap-1648	54	14	for	for	ADP
ap-1648	54	15	either	either	CCONJ
ap-1648	54	16	west	west	PROPN
ap-1648	54	17	or	or	CCONJ
ap-1648	54	18	east	east	NOUN
ap-1648	54	19	.	.	PUNCT
ap-1648	55	1	the	the	DET
ap-1648	55	2	results	result	NOUN
ap-1648	55	3	are	be	AUX
ap-1648	55	4	then	then	ADV
ap-1648	55	5	mirrored	mirror	VERB
ap-1648	55	6	to	to	PART
ap-1648	55	7	get	get	VERB
ap-1648	55	8	the	the	DET
ap-1648	55	9	final	final	ADJ
ap-1648	55	10	result	result	NOUN
ap-1648	55	11	.	.	PUNCT
ap-1648	56	1	2.2	2.2	NUM
ap-1648	56	2	plane	plane	NOUN
ap-1648	56	3	inclination	inclination	NOUN
ap-1648	56	4	solar	solar	ADJ
ap-1648	56	5	power	power	NOUN
ap-1648	56	6	plants	plant	NOUN
ap-1648	56	7	are	be	AUX
ap-1648	56	8	sometimes	sometimes	ADV
ap-1648	56	9	installed	instal	VERB
ap-1648	56	10	on	on	ADP
ap-1648	56	11	nonplane	nonplane	ADJ
ap-1648	56	12	surfaces	surface	NOUN
ap-1648	56	13	—	—	PUNCT
ap-1648	56	14	for	for	ADP
ap-1648	56	15	example	example	NOUN
ap-1648	56	16	in	in	ADP
ap-1648	56	17	a	a	DET
ap-1648	56	18	hilly	hilly	ADJ
ap-1648	56	19	environment	environment	NOUN
ap-1648	56	20	.	.	PUNCT
ap-1648	57	1	the	the	DET
ap-1648	57	2	inclination	inclination	NOUN
ap-1648	57	3	of	of	ADP
ap-1648	57	4	the	the	DET
ap-1648	57	5	surface	surface	NOUN
ap-1648	57	6	must	must	AUX
ap-1648	57	7	be	be	AUX
ap-1648	57	8	taken	take	VERB
ap-1648	57	9	into	into	ADP
ap-1648	57	10	account	account	NOUN
ap-1648	57	11	for	for	ADP
ap-1648	57	12	precise	precise	ADJ
ap-1648	57	13	tracking	tracking	NOUN
ap-1648	57	14	.	.	PUNCT
ap-1648	58	1	the	the	DET
ap-1648	58	2	scheme	scheme	NOUN
ap-1648	58	3	for	for	ADP
ap-1648	58	4	a	a	DET
ap-1648	58	5	nonplane	nonplane	ADJ
ap-1648	58	6	setting	setting	NOUN
ap-1648	58	7	is	be	AUX
ap-1648	58	8	illustrated	illustrate	VERB
ap-1648	58	9	in	in	ADP
ap-1648	58	10	fig	fig	NOUN
ap-1648	58	11	.	.	PUNCT
ap-1648	59	1	3	3	X
ap-1648	59	2	.	.	PUNCT
ap-1648	59	3	to	to	PART
ap-1648	59	4	keep	keep	VERB
ap-1648	59	5	all	all	DET
ap-1648	59	6	calculations	calculation	NOUN
ap-1648	59	7	as	as	ADV
ap-1648	59	8	simple	simple	ADJ
ap-1648	59	9	as	as	ADP
ap-1648	59	10	possible	possible	ADJ
ap-1648	59	11	,	,	PUNCT
ap-1648	59	12	the	the	DET
ap-1648	59	13	plane	plane	NOUN
ap-1648	59	14	inclination	inclination	NOUN
ap-1648	59	15	is	be	AUX
ap-1648	59	16	embedded	embed	VERB
ap-1648	59	17	into	into	ADP
ap-1648	59	18	the	the	DET
ap-1648	59	19	sat	sit	VERB
ap-1648	59	20	rotation	rotation	NOUN
ap-1648	59	21	angle	angle	NOUN
ap-1648	59	22	by	by	ADP
ap-1648	59	23	following	follow	VERB
ap-1648	59	24	the	the	DET
ap-1648	59	25	update	update	NOUN
ap-1648	59	26	rule	rule	NOUN
ap-1648	59	27	:	:	PUNCT
ap-1648	59	28	α	α	X
ap-1648	59	29	=	=	PUNCT
ap-1648	59	30	α−	α−	ADP
ap-1648	59	31	δ	δ	X
ap-1648	59	32	·	·	PUNCT
ap-1648	60	1	β	β	X
ap-1648	60	2	.	.	PUNCT
ap-1648	61	1	(	(	PUNCT
ap-1648	61	2	5	5	NUM
ap-1648	61	3	)	)	PUNCT
ap-1648	61	4	3	3	NUM
ap-1648	61	5	basic	basic	ADJ
ap-1648	61	6	tracking	tracking	NOUN
ap-1648	61	7	according	accord	VERB
ap-1648	61	8	to	to	ADP
ap-1648	61	9	lambert	lambert	PROPN
ap-1648	61	10	’s	’s	PART
ap-1648	61	11	law	law	NOUN
ap-1648	61	12	,	,	PUNCT
ap-1648	61	13	the	the	DET
ap-1648	61	14	yield	yield	NOUN
ap-1648	61	15	of	of	ADP
ap-1648	61	16	a	a	DET
ap-1648	61	17	solar	solar	ADJ
ap-1648	61	18	module	module	NOUN
ap-1648	61	19	is	be	AUX
ap-1648	61	20	directly	directly	ADV
ap-1648	61	21	proportional	proportional	ADJ
ap-1648	61	22	to	to	ADP
ap-1648	61	23	the	the	DET
ap-1648	61	24	angle	angle	NOUN
ap-1648	61	25	of	of	ADP
ap-1648	61	26	incidence	incidence	NOUN
ap-1648	61	27	γ	γ	NOUN
ap-1648	61	28	between	between	ADP
ap-1648	61	29	the	the	DET
ap-1648	61	30	sun	sun	NOUN
ap-1648	61	31	light	light	NOUN
ap-1648	61	32	and	and	CCONJ
ap-1648	61	33	the	the	DET
ap-1648	61	34	module	module	NOUN
ap-1648	61	35	normal	normal	ADJ
ap-1648	61	36	vector	vector	NOUN
ap-1648	61	37	for	for	ADP
ap-1648	61	38	a	a	DET
ap-1648	61	39	given	give	VERB
ap-1648	61	40	insolation	insolation	NOUN
ap-1648	61	41	intensity	intensity	NOUN
ap-1648	61	42	.	.	PUNCT
ap-1648	62	1	the	the	DET
ap-1648	62	2	lower	low	ADJ
ap-1648	62	3	the	the	DET
ap-1648	62	4	angle	angle	NOUN
ap-1648	62	5	,	,	PUNCT
ap-1648	62	6	the	the	PRON
ap-1648	62	7	higher	high	ADJ
ap-1648	62	8	the	the	DET
ap-1648	62	9	irradiation	irradiation	NOUN
ap-1648	62	10	intensity	intensity	NOUN
ap-1648	62	11	,	,	PUNCT
ap-1648	62	12	and	and	CCONJ
ap-1648	62	13	the	the	PRON
ap-1648	62	14	higher	high	ADJ
ap-1648	62	15	the	the	DET
ap-1648	62	16	yield	yield	NOUN
ap-1648	62	17	.	.	PUNCT
ap-1648	63	1	since	since	SCONJ
ap-1648	63	2	the	the	DET
ap-1648	63	3	loss	loss	NOUN
ap-1648	63	4	in	in	ADP
ap-1648	63	5	irradiation	irradiation	NOUN
ap-1648	63	6	intensity	intensity	NOUN
ap-1648	63	7	follows	follow	VERB
ap-1648	63	8	the	the	DET
ap-1648	63	9	function	function	NOUN
ap-1648	63	10	cos	cos	PROPN
ap-1648	63	11	γ	γ	X
ap-1648	63	12	,	,	PUNCT
ap-1648	63	13	maximal	maximal	ADJ
ap-1648	63	14	yield	yield	NOUN
ap-1648	63	15	can	can	AUX
ap-1648	63	16	only	only	ADV
ap-1648	63	17	be	be	AUX
ap-1648	63	18	achieved	achieve	VERB
ap-1648	63	19	when	when	SCONJ
ap-1648	63	20	the	the	DET
ap-1648	63	21	sun	sun	NOUN
ap-1648	63	22	vector	vector	NOUN
ap-1648	63	23	is	be	AUX
ap-1648	63	24	orthogonal	orthogonal	ADJ
ap-1648	63	25	to	to	ADP
ap-1648	63	26	the	the	DET
ap-1648	63	27	module	module	NOUN
ap-1648	63	28	plane	plane	NOUN
ap-1648	63	29	,	,	PUNCT
ap-1648	63	30	i.e.	i.e.	X
ap-1648	63	31	γ	γ	X
ap-1648	63	32	=	=	SYM
ap-1648	63	33	0	0	NUM
ap-1648	63	34	.	.	PUNCT
ap-1648	64	1	a	a	DET
ap-1648	64	2	single	single	ADJ
ap-1648	64	3	-	-	PUNCT
ap-1648	64	4	axis	axis	NOUN
ap-1648	64	5	tracker	tracker	NOUN
ap-1648	64	6	(	(	PUNCT
ap-1648	64	7	unlike	unlike	ADP
ap-1648	64	8	a	a	DET
ap-1648	64	9	dat	dat	NOUN
ap-1648	64	10	)	)	PUNCT
ap-1648	64	11	can	can	AUX
ap-1648	64	12	not	not	PART
ap-1648	64	13	always	always	ADV
ap-1648	64	14	achieve	achieve	VERB
ap-1648	64	15	orthogonality	orthogonality	NOUN
ap-1648	64	16	,	,	PUNCT
ap-1648	64	17	due	due	ADP
ap-1648	64	18	to	to	ADP
ap-1648	64	19	the	the	DET
ap-1648	64	20	mechanical	mechanical	ADJ
ap-1648	64	21	restrictions	restriction	NOUN
ap-1648	64	22	that	that	PRON
ap-1648	64	23	apply	apply	VERB
ap-1648	64	24	,	,	PUNCT
ap-1648	64	25	but	but	CCONJ
ap-1648	64	26	the	the	DET
ap-1648	64	27	yield	yield	NOUN
ap-1648	64	28	can	can	AUX
ap-1648	64	29	be	be	AUX
ap-1648	64	30	optimized	optimize	VERB
ap-1648	64	31	during	during	ADP
ap-1648	64	32	the	the	DET
ap-1648	64	33	span	span	NOUN
ap-1648	64	34	of	of	ADP
ap-1648	64	35	one	one	NUM
ap-1648	64	36	day	day	NOUN
ap-1648	64	37	.	.	PUNCT
ap-1648	65	1	this	this	DET
ap-1648	65	2	section	section	NOUN
ap-1648	65	3	aims	aim	VERB
ap-1648	65	4	to	to	PART
ap-1648	65	5	express	express	VERB
ap-1648	65	6	the	the	DET
ap-1648	65	7	system	system	NOUN
ap-1648	65	8	rotation	rotation	NOUN
ap-1648	65	9	angle	angle	NOUN
ap-1648	65	10	α	α	PROPN
ap-1648	65	11	as	as	ADP
ap-1648	65	12	a	a	DET
ap-1648	65	13	function	function	NOUN
ap-1648	65	14	of	of	ADP
ap-1648	65	15	the	the	DET
ap-1648	65	16	sun	sun	NOUN
ap-1648	65	17	position	position	NOUN
ap-1648	65	18	in	in	ADP
ap-1648	65	19	order	order	NOUN
ap-1648	65	20	to	to	PART
ap-1648	65	21	achieve	achieve	VERB
ap-1648	65	22	maximum	maximum	ADJ
ap-1648	65	23	yield	yield	NOUN
ap-1648	65	24	.	.	PUNCT
ap-1648	66	1	87	87	NUM
ap-1648	66	2	acta	acta	PROPN
ap-1648	66	3	polytechnica	polytechnica	PROPN
ap-1648	66	4	vol	vol	NOUN
ap-1648	66	5	.	.	PUNCT
ap-1648	67	1	52	52	NUM
ap-1648	67	2	no	no	NOUN
ap-1648	67	3	.	.	PUNCT
ap-1648	68	1	5/2012	5/2012	NUM
ap-1648	68	2	0	0	NUM
ap-1648	68	3	°	°	ADP
ap-1648	68	4	45	45	NUM
ap-1648	68	5	°	°	NOUN
ap-1648	68	6	45	45	NUM
ap-1648	68	7	°	°	NOUN
ap-1648	68	8	β	β	X
ap-1648	68	9	β	β	X
ap-1648	68	10	d	d	X
ap-1648	68	11	α	α	NUM
ap-1648	68	12	figure	figure	NOUN
ap-1648	68	13	3	3	NUM
ap-1648	68	14	:	:	PUNCT
ap-1648	68	15	illustration	illustration	NOUN
ap-1648	68	16	of	of	ADP
ap-1648	68	17	the	the	DET
ap-1648	68	18	plane	plane	NOUN
ap-1648	68	19	inclination	inclination	NOUN
ap-1648	68	20	angle	angle	NOUN
ap-1648	68	21	β	β	X
ap-1648	68	22	for	for	ADP
ap-1648	68	23	hilly	hilly	ADJ
ap-1648	68	24	environments	environment	NOUN
ap-1648	68	25	.	.	PUNCT
ap-1648	69	1	y	y	PROPN
ap-1648	69	2	optimal	optimal	ADJ
ap-1648	69	3	alignment	alignment	NOUN
ap-1648	69	4	non	non	NOUN
ap-1648	69	5	optimalalignment	optimalalignment	NOUN
ap-1648	69	6	eastwest	eastwest	PROPN
ap-1648	69	7	x	x	PUNCT
ap-1648	69	8	η	η	PROPN
ap-1648	69	9	figure	figure	NOUN
ap-1648	69	10	2	2	NUM
ap-1648	69	11	:	:	PUNCT
ap-1648	69	12	explanatory	explanatory	ADJ
ap-1648	69	13	scheme	scheme	NOUN
ap-1648	69	14	for	for	ADP
ap-1648	69	15	the	the	DET
ap-1648	69	16	satmisalignment	satmisalignment	PROPN
ap-1648	69	17	angle	angle	PROPN
ap-1648	69	18	η	η	PROPN
ap-1648	69	19	.	.	PROPN
ap-1648	70	1	the	the	DET
ap-1648	70	2	system	system	NOUN
ap-1648	70	3	is	be	AUX
ap-1648	70	4	not	not	PART
ap-1648	70	5	optimally	optimally	ADV
ap-1648	70	6	aligned	align	VERB
ap-1648	70	7	on	on	ADP
ap-1648	70	8	the	the	DET
ap-1648	70	9	east	east	PROPN
ap-1648	70	10	-	-	PUNCT
ap-1648	70	11	west	west	PROPN
ap-1648	70	12	axis	axis	NOUN
ap-1648	70	13	(	(	PUNCT
ap-1648	70	14	y	y	NOUN
ap-1648	70	15	-	-	PUNCT
ap-1648	70	16	axis	axis	NOUN
ap-1648	70	17	)	)	PUNCT
ap-1648	70	18	for	for	ADP
ap-1648	70	19	η	η	PROPN
ap-1648	70	20	6=	6=	PROPN
ap-1648	70	21	0	0	NUM
ap-1648	70	22	.	.	PUNCT
ap-1648	71	1	let	let	VERB
ap-1648	71	2	the	the	DET
ap-1648	71	3	module	module	NOUN
ap-1648	71	4	plane	plane	NOUN
ap-1648	71	5	of	of	ADP
ap-1648	71	6	one	one	NUM
ap-1648	71	7	sat	sit	VERB
ap-1648	71	8	be	be	AUX
ap-1648	71	9	denoted	denote	VERB
ap-1648	71	10	as	as	ADP
ap-1648	71	11	p	p	NOUN
ap-1648	71	12	,	,	PUNCT
ap-1648	71	13	cf	cf	NOUN
ap-1648	71	14	.	.	PUNCT
ap-1648	71	15	fig	fig	NOUN
ap-1648	71	16	.	.	PUNCT
ap-1648	72	1	1b	1b	NUM
ap-1648	72	2	.	.	PUNCT
ap-1648	73	1	p	p	NOUN
ap-1648	73	2	can	can	AUX
ap-1648	73	3	be	be	AUX
ap-1648	73	4	rotated	rotate	VERB
ap-1648	73	5	around	around	ADP
ap-1648	73	6	the	the	DET
ap-1648	73	7	x	x	NOUN
ap-1648	73	8	-	-	NOUN
ap-1648	73	9	axis	axis	NOUN
ap-1648	73	10	with	with	ADP
ap-1648	73	11	the	the	DET
ap-1648	73	12	rotation	rotation	NOUN
ap-1648	73	13	angle	angle	NOUN
ap-1648	73	14	α	α	NOUN
ap-1648	73	15	,	,	PUNCT
ap-1648	73	16	but	but	CCONJ
ap-1648	73	17	has	have	VERB
ap-1648	73	18	no	no	DET
ap-1648	73	19	other	other	ADJ
ap-1648	73	20	degrees	degree	NOUN
ap-1648	73	21	of	of	ADP
ap-1648	73	22	freedom	freedom	NOUN
ap-1648	73	23	.	.	PUNCT
ap-1648	74	1	in	in	ADP
ap-1648	74	2	this	this	DET
ap-1648	74	3	way	way	NOUN
ap-1648	74	4	,	,	PUNCT
ap-1648	74	5	p	p	NOUN
ap-1648	74	6	can	can	AUX
ap-1648	74	7	be	be	AUX
ap-1648	74	8	expressed	express	VERB
ap-1648	74	9	in	in	ADP
ap-1648	74	10	matrix	matrix	NOUN
ap-1648	74	11	notation	notation	NOUN
ap-1648	74	12	:	:	PUNCT
ap-1648	74	13	p	p	X
ap-1648	74	14	=	=	NOUN
ap-1648	74	15			NOUN
ap-1648	74	16	1	1	NUM
ap-1648	74	17	0	0	NUM
ap-1648	74	18	0	0	NUM
ap-1648	74	19	cosα	cosα	NOUN
ap-1648	74	20	0	0	NUM
ap-1648	74	21	sinα	sinα	NOUN
ap-1648	74	22			NOUN
ap-1648	74	23	.	.	PUNCT
ap-1648	75	1	(	(	PUNCT
ap-1648	75	2	6	6	X
ap-1648	75	3	)	)	PUNCT
ap-1648	75	4	the	the	DET
ap-1648	75	5	angle	angle	NOUN
ap-1648	75	6	α	α	PROPN
ap-1648	75	7	is	be	AUX
ap-1648	75	8	negative	negative	ADJ
ap-1648	75	9	when	when	SCONJ
ap-1648	75	10	p	p	NOUN
ap-1648	75	11	is	be	AUX
ap-1648	75	12	inclined	inclined	ADJ
ap-1648	75	13	eastward	eastward	ADV
ap-1648	75	14	,	,	PUNCT
ap-1648	75	15	positive	positive	ADJ
ap-1648	75	16	when	when	SCONJ
ap-1648	75	17	p	p	NOUN
ap-1648	75	18	is	be	AUX
ap-1648	75	19	inclined	inclined	ADJ
ap-1648	75	20	westward	westward	ADV
ap-1648	75	21	.	.	PUNCT
ap-1648	76	1	the	the	DET
ap-1648	76	2	origin	origin	NOUN
ap-1648	76	3	of	of	ADP
ap-1648	76	4	co	co	NOUN
ap-1648	76	5	-	-	NOUN
ap-1648	76	6	ordinates	ordinate	NOUN
ap-1648	76	7	o	o	NOUN
ap-1648	76	8	=	=	PUNCT
ap-1648	77	1	[	[	X
ap-1648	77	2	0	0	NUM
ap-1648	77	3	,	,	PUNCT
ap-1648	77	4	0	0	NUM
ap-1648	77	5	,	,	PUNCT
ap-1648	77	6	0]t	0]t	NUM
ap-1648	77	7	is	be	AUX
ap-1648	77	8	placed	place	VERB
ap-1648	77	9	as	as	SCONJ
ap-1648	77	10	indicated	indicate	VERB
ap-1648	77	11	in	in	ADP
ap-1648	77	12	fig	fig	NOUN
ap-1648	77	13	.	.	PUNCT
ap-1648	78	1	4	4	X
ap-1648	78	2	.	.	X
ap-1648	78	3	a	a	DET
ap-1648	78	4	normal	normal	ADJ
ap-1648	78	5	vector	vector	NOUN
ap-1648	78	6	v	v	NOUN
ap-1648	78	7	of	of	ADP
ap-1648	78	8	p	p	NOUN
ap-1648	78	9	can	can	AUX
ap-1648	78	10	be	be	AUX
ap-1648	78	11	expressed	express	VERB
ap-1648	78	12	by	by	ADP
ap-1648	78	13	:	:	PUNCT
ap-1648	78	14	v	v	NOUN
ap-1648	78	15	=	=	SYM
ap-1648	78	16	detp	detp	NOUN
ap-1648	78	17	=	=	PUNCT
ap-1648	79	1	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ap-1648	79	2	1	1	NUM
ap-1648	79	3	0	0	NUM
ap-1648	79	4	0	0	NUM
ap-1648	79	5	cosα	cosα	NOUN
ap-1648	79	6	0	0	NUM
ap-1648	79	7	sinα	sinα	NOUN
ap-1648	79	8	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ap-1648	79	9	=	=	SYM
ap-1648	79	10			NOUN
ap-1648	79	11	0	0	NUM
ap-1648	79	12	−	−	PROPN
ap-1648	79	13	sinα	sinα	NOUN
ap-1648	79	14	cosα	cosα	NOUN
ap-1648	79	15			PROPN
ap-1648	79	16	.	.	PUNCT
ap-1648	80	1	(	(	PUNCT
ap-1648	80	2	7	7	X
ap-1648	80	3	)	)	PUNCT
ap-1648	80	4	as	as	SCONJ
ap-1648	80	5	mentioned	mention	VERB
ap-1648	80	6	above	above	ADV
ap-1648	80	7	,	,	PUNCT
ap-1648	80	8	the	the	DET
ap-1648	80	9	maximal	maximal	ADJ
ap-1648	80	10	yield	yield	NOUN
ap-1648	80	11	is	be	AUX
ap-1648	80	12	equivalent	equivalent	ADJ
ap-1648	80	13	to	to	ADP
ap-1648	80	14	the	the	DET
ap-1648	80	15	minimal	minimal	ADJ
ap-1648	80	16	angle	angle	NOUN
ap-1648	80	17	γ	γ	NOUN
ap-1648	80	18	between	between	ADP
ap-1648	80	19	the	the	DET
ap-1648	80	20	normal	normal	ADJ
ap-1648	80	21	vector	vector	NOUN
ap-1648	80	22	v	v	NOUN
ap-1648	80	23	and	and	CCONJ
ap-1648	80	24	the	the	DET
ap-1648	80	25	sun	sun	NOUN
ap-1648	80	26	vector	vector	PROPN
ap-1648	80	27	s.	s.	PROPN
ap-1648	80	28	this	this	PRON
ap-1648	80	29	can	can	AUX
ap-1648	80	30	be	be	AUX
ap-1648	80	31	achieved	achieve	VERB
ap-1648	80	32	by	by	ADP
ap-1648	80	33	minimizing	minimize	VERB
ap-1648	80	34	the	the	DET
ap-1648	80	35	absolute	absolute	ADJ
ap-1648	80	36	value	value	NOUN
ap-1648	80	37	of	of	ADP
ap-1648	80	38	the	the	DET
ap-1648	80	39	cross	cross	NOUN
ap-1648	80	40	product	product	NOUN
ap-1648	80	41	n	n	CCONJ
ap-1648	80	42	between	between	ADP
ap-1648	80	43	the	the	DET
ap-1648	80	44	two	two	NUM
ap-1648	80	45	vectors	vector	NOUN
ap-1648	80	46	:	:	PUNCT
ap-1648	80	47	n	n	PROPN
ap-1648	80	48	=	=	SYM
ap-1648	80	49	v	v	NUM
ap-1648	80	50	×	×	PROPN
ap-1648	80	51	s	s	NOUN
ap-1648	80	52	=	=	NOUN
ap-1648	80	53			NOUN
ap-1648	80	54	0	0	NUM
ap-1648	81	1	−	−	NOUN
ap-1648	82	1	sinα	sinα	NOUN
ap-1648	82	2	cosα	cosα	NOUN
ap-1648	82	3	×	×	VERB
ap-1648	82	4			NOUN
ap-1648	82	5	x	x	VERB
ap-1648	82	6	y	y	NOUN
ap-1648	82	7	z	z	NOUN
ap-1648	82	8			NOUN
ap-1648	82	9	=	=	PUNCT
ap-1648	82	10			NOUN
ap-1648	83	1	y	y	PROPN
ap-1648	83	2	cosα+	cosα+	PROPN
ap-1648	83	3	z	z	PROPN
ap-1648	83	4	sinα	sinα	PROPN
ap-1648	83	5	x	x	PUNCT
ap-1648	83	6	cosα	cosα	NOUN
ap-1648	83	7	x	x	X
ap-1648	83	8	sinα	sinα	NOUN
ap-1648	83	9			NOUN
ap-1648	83	10	.	.	PUNCT
ap-1648	84	1	(	(	PUNCT
ap-1648	84	2	8)	8)	NUM
ap-1648	84	3	minimizing	minimize	VERB
ap-1648	84	4	the	the	DET
ap-1648	84	5	absolute	absolute	ADJ
ap-1648	84	6	value	value	NOUN
ap-1648	84	7	of	of	ADP
ap-1648	84	8	(	(	PUNCT
ap-1648	84	9	8)	8)	NUM
ap-1648	84	10	corresponds	correspond	NOUN
ap-1648	84	11	to	to	ADP
ap-1648	84	12	minimizing	minimize	VERB
ap-1648	84	13	the	the	DET
ap-1648	84	14	area	area	NOUN
ap-1648	84	15	of	of	ADP
ap-1648	84	16	the	the	DET
ap-1648	84	17	parallelogram	parallelogram	NOUN
ap-1648	84	18	that	that	PRON
ap-1648	84	19	the	the	DET
ap-1648	84	20	two	two	NUM
ap-1648	84	21	vectors	vector	NOUN
ap-1648	84	22	span	span	NOUN
ap-1648	84	23	,	,	PUNCT
ap-1648	84	24	and	and	CCONJ
ap-1648	84	25	hence	hence	ADV
ap-1648	84	26	corresponds	correspond	VERB
ap-1648	84	27	to	to	ADP
ap-1648	84	28	minimizing	minimize	VERB
ap-1648	84	29	the	the	DET
ap-1648	84	30	angle	angle	NOUN
ap-1648	84	31	between	between	ADP
ap-1648	84	32	them	they	PRON
ap-1648	84	33	:	:	PUNCT
ap-1648	84	34	|n|2	|n|2	PROPN
ap-1648	84	35	=	=	SYM
ap-1648	84	36	(	(	PUNCT
ap-1648	84	37	y	y	PROPN
ap-1648	84	38	cosα+	cosα+	X
ap-1648	84	39	z	z	NOUN
ap-1648	84	40	sinα)2	sinα)2	PROPN
ap-1648	84	41	+	+	CCONJ
ap-1648	84	42	(	(	PUNCT
ap-1648	84	43	x	x	SYM
ap-1648	84	44	cosα)2	cosα)2	X
ap-1648	84	45	+	+	CCONJ
ap-1648	84	46	(	(	PUNCT
ap-1648	84	47	x	x	SYM
ap-1648	84	48	sinα)2	sinα)2	X
ap-1648	84	49	=	=	SYM
ap-1648	84	50	(	(	PUNCT
ap-1648	84	51	y	y	PROPN
ap-1648	84	52	cosα+	cosα+	X
ap-1648	84	53	z	z	NOUN
ap-1648	84	54	sinα)2	sinα)2	PROPN
ap-1648	84	55	+	+	CCONJ
ap-1648	84	56	x2	x2	PROPN
ap-1648	84	57	.	.	PUNCT
ap-1648	85	1	(	(	PUNCT
ap-1648	85	2	9	9	NUM
ap-1648	85	3	)	)	PUNCT
ap-1648	85	4	from	from	ADP
ap-1648	85	5	(	(	PUNCT
ap-1648	85	6	9	9	X
ap-1648	85	7	)	)	PUNCT
ap-1648	85	8	it	it	PRON
ap-1648	85	9	can	can	AUX
ap-1648	85	10	be	be	AUX
ap-1648	85	11	seen	see	VERB
ap-1648	85	12	that	that	SCONJ
ap-1648	85	13	perfect	perfect	ADJ
ap-1648	85	14	sat	sit	VERB
ap-1648	85	15	alignment	alignment	NOUN
ap-1648	85	16	(	(	PUNCT
ap-1648	85	17	i.e.	i.e.	X
ap-1648	85	18	|n|2	|n|2	PROPN
ap-1648	85	19	=	=	SYM
ap-1648	85	20	0	0	NUM
ap-1648	85	21	)	)	PUNCT
ap-1648	85	22	can	can	AUX
ap-1648	85	23	only	only	ADV
ap-1648	85	24	be	be	AUX
ap-1648	85	25	achieved	achieve	VERB
ap-1648	85	26	when	when	SCONJ
ap-1648	85	27	the	the	DET
ap-1648	85	28	sun	sun	NOUN
ap-1648	85	29	is	be	AUX
ap-1648	85	30	positioned	position	VERB
ap-1648	85	31	on	on	ADP
ap-1648	85	32	the	the	DET
ap-1648	85	33	east	east	PROPN
ap-1648	85	34	-	-	PUNCT
ap-1648	85	35	west	west	PROPN
ap-1648	85	36	axis	axis	NOUN
ap-1648	86	1	(	(	PUNCT
ap-1648	86	2	x2	x2	NOUN
ap-1648	86	3	=	=	NOUN
ap-1648	86	4	0	0	NUM
ap-1648	86	5	)	)	PUNCT
ap-1648	86	6	.	.	PUNCT
ap-1648	87	1	the	the	DET
ap-1648	87	2	best	good	ADJ
ap-1648	87	3	sat	sit	VERB
ap-1648	87	4	rotation	rotation	NOUN
ap-1648	87	5	angle	angle	NOUN
ap-1648	87	6	for	for	ADP
ap-1648	87	7	a	a	DET
ap-1648	87	8	given	give	VERB
ap-1648	87	9	sun	sun	NOUN
ap-1648	87	10	position	position	NOUN
ap-1648	87	11	can	can	AUX
ap-1648	87	12	be	be	AUX
ap-1648	87	13	found	find	VERB
ap-1648	87	14	when	when	SCONJ
ap-1648	87	15	0	0	NUM
ap-1648	87	16	=	=	SYM
ap-1648	87	17	y	y	PROPN
ap-1648	87	18	cosα+	cosα+	X
ap-1648	87	19	z	z	PROPN
ap-1648	87	20	sinα	sinα	PROPN
ap-1648	87	21	(	(	PUNCT
ap-1648	87	22	10	10	NUM
ap-1648	87	23	)	)	PUNCT
ap-1648	87	24	applies	apply	VERB
ap-1648	87	25	.	.	PUNCT
ap-1648	88	1	solving	solve	VERB
ap-1648	88	2	for	for	ADP
ap-1648	88	3	α	α	NOUN
ap-1648	88	4	and	and	CCONJ
ap-1648	88	5	applying	apply	VERB
ap-1648	88	6	(	(	PUNCT
ap-1648	88	7	5	5	NUM
ap-1648	88	8	)	)	PUNCT
ap-1648	88	9	gives	give	VERB
ap-1648	88	10	α	α	NOUN
ap-1648	88	11	=	=	SYM
ap-1648	88	12	−	−	PROPN
ap-1648	88	13	arctan	arctan	PROPN
ap-1648	88	14	y	y	PROPN
ap-1648	88	15	z	z	PROPN
ap-1648	89	1	−	−	PROPN
ap-1648	89	2	δ	δ	X
ap-1648	89	3	·	·	PUNCT
ap-1648	89	4	β	β	X
ap-1648	89	5	(	(	PUNCT
ap-1648	89	6	11	11	NUM
ap-1648	89	7	)	)	PUNCT
ap-1648	89	8	as	as	ADP
ap-1648	89	9	the	the	DET
ap-1648	89	10	optimal	optimal	ADJ
ap-1648	89	11	rotation	rotation	NOUN
ap-1648	89	12	angle	angle	NOUN
ap-1648	89	13	.	.	PUNCT
ap-1648	90	1	care	care	NOUN
ap-1648	90	2	needs	need	VERB
ap-1648	90	3	to	to	PART
ap-1648	90	4	be	be	AUX
ap-1648	90	5	taken	take	VERB
ap-1648	90	6	when	when	SCONJ
ap-1648	90	7	the	the	DET
ap-1648	90	8	sun	sun	NOUN
ap-1648	90	9	is	be	AUX
ap-1648	90	10	rising	rise	VERB
ap-1648	90	11	or	or	CCONJ
ap-1648	90	12	setting	set	VERB
ap-1648	90	13	,	,	PUNCT
ap-1648	90	14	i.e.	i.e.	X
ap-1648	90	15	z	z	NOUN
ap-1648	90	16	=	=	SYM
ap-1648	90	17	0	0	NUM
ap-1648	90	18	.	.	NOUN
ap-1648	90	19	4	4	NUM
ap-1648	90	20	backtracking	backtrack	VERB
ap-1648	90	21	equation	equation	NOUN
ap-1648	90	22	(	(	PUNCT
ap-1648	90	23	11	11	NUM
ap-1648	90	24	)	)	PUNCT
ap-1648	90	25	allows	allow	VERB
ap-1648	90	26	the	the	DET
ap-1648	90	27	system	system	NOUN
ap-1648	90	28	to	to	PART
ap-1648	90	29	find	find	VERB
ap-1648	90	30	an	an	DET
ap-1648	90	31	optimal	optimal	ADJ
ap-1648	90	32	rotation	rotation	NOUN
ap-1648	90	33	angle	angle	NOUN
ap-1648	90	34	for	for	ADP
ap-1648	90	35	a	a	DET
ap-1648	90	36	given	give	VERB
ap-1648	90	37	sun	sun	NOUN
ap-1648	90	38	position	position	NOUN
ap-1648	90	39	at	at	ADP
ap-1648	90	40	any	any	DET
ap-1648	90	41	time	time	NOUN
ap-1648	90	42	.	.	PUNCT
ap-1648	91	1	88	88	NUM
ap-1648	91	2	acta	acta	PROPN
ap-1648	91	3	polytechnica	polytechnica	PROPN
ap-1648	91	4	vol	vol	NOUN
ap-1648	91	5	.	.	PUNCT
ap-1648	92	1	52	52	NUM
ap-1648	92	2	no	no	NOUN
ap-1648	92	3	.	.	PUNCT
ap-1648	93	1	5/2012	5/2012	NUM
ap-1648	93	2	w	w	PROPN
ap-1648	93	3	s	s	PROPN
ap-1648	93	4	f1	f1	NOUN
ap-1648	93	5	f2	f2	PROPN
ap-1648	93	6	s	s	PROPN
ap-1648	93	7	h	h	NOUN
ap-1648	93	8	a	a	X
ap-1648	93	9	d	d	X
ap-1648	93	10	y	y	PROPN
ap-1648	93	11	x	x	PROPN
ap-1648	93	12	z	z	PROPN
ap-1648	93	13	p	p	NOUN
ap-1648	93	14	b	b	X
ap-1648	93	15	o	o	NOUN
ap-1648	93	16	figure	figure	NOUN
ap-1648	93	17	4	4	NUM
ap-1648	93	18	:	:	PUNCT
ap-1648	93	19	illustration	illustration	NOUN
ap-1648	93	20	of	of	ADP
ap-1648	93	21	planes	plane	NOUN
ap-1648	93	22	,	,	PUNCT
ap-1648	93	23	lines	line	NOUN
ap-1648	93	24	and	and	CCONJ
ap-1648	93	25	points	point	NOUN
ap-1648	93	26	needed	need	VERB
ap-1648	93	27	for	for	ADP
ap-1648	93	28	deriving	derive	VERB
ap-1648	93	29	the	the	DET
ap-1648	93	30	backtracking	backtrack	VERB
ap-1648	93	31	algorithm	algorithm	NOUN
ap-1648	93	32	:	:	PUNCT
ap-1648	93	33	a	a	DET
ap-1648	93	34	shadow	shadow	NOUN
ap-1648	93	35	is	be	AUX
ap-1648	93	36	cast	cast	VERB
ap-1648	93	37	from	from	ADP
ap-1648	93	38	surface	surface	NOUN
ap-1648	93	39	f1	f1	NOUN
ap-1648	93	40	to	to	PART
ap-1648	93	41	surface	surface	VERB
ap-1648	93	42	f2	f2	PROPN
ap-1648	93	43	.	.	PUNCT
ap-1648	94	1	by	by	ADP
ap-1648	94	2	rotating	rotate	VERB
ap-1648	94	3	sat	sit	VERB
ap-1648	94	4	so	so	SCONJ
ap-1648	94	5	that	that	SCONJ
ap-1648	94	6	line	line	NOUN
ap-1648	94	7	s	s	NOUN
ap-1648	94	8	and	and	CCONJ
ap-1648	94	9	line	line	NOUN
ap-1648	94	10	w	w	PROPN
ap-1648	94	11	intersect	intersect	ADJ
ap-1648	94	12	,	,	PUNCT
ap-1648	94	13	shading	shading	NOUN
ap-1648	94	14	can	can	AUX
ap-1648	94	15	be	be	AUX
ap-1648	94	16	avoided	avoid	VERB
ap-1648	94	17	by	by	ADP
ap-1648	94	18	guaranteeing	guarantee	VERB
ap-1648	94	19	a	a	DET
ap-1648	94	20	minimal	minimal	ADJ
ap-1648	94	21	deviationfrom	deviationfrom	ADP
ap-1648	94	22	the	the	DET
ap-1648	94	23	optimal	optimal	ADJ
ap-1648	94	24	rotation	rotation	NOUN
ap-1648	94	25	angle	angle	NOUN
ap-1648	94	26	.	.	PUNCT
ap-1648	95	1	however	however	ADV
ap-1648	95	2	,	,	PUNCT
ap-1648	95	3	the	the	DET
ap-1648	95	4	case	case	NOUN
ap-1648	95	5	is	be	AUX
ap-1648	95	6	not	not	PART
ap-1648	95	7	considered	consider	VERB
ap-1648	95	8	when	when	SCONJ
ap-1648	95	9	,	,	PUNCT
ap-1648	95	10	for	for	ADP
ap-1648	95	11	specific	specific	ADJ
ap-1648	95	12	sun	sun	NOUN
ap-1648	95	13	positions	position	NOUN
ap-1648	95	14	,	,	PUNCT
ap-1648	95	15	self	self	NOUN
ap-1648	95	16	-	-	PUNCT
ap-1648	95	17	shading	shading	NOUN
ap-1648	95	18	may	may	AUX
ap-1648	95	19	occur	occur	VERB
ap-1648	95	20	between	between	ADP
ap-1648	95	21	adjacent	adjacent	ADJ
ap-1648	95	22	sats	sat	NOUN
ap-1648	95	23	.	.	PUNCT
ap-1648	96	1	the	the	DET
ap-1648	96	2	problem	problem	NOUN
ap-1648	96	3	is	be	AUX
ap-1648	96	4	illustrated	illustrate	VERB
ap-1648	96	5	for	for	ADP
ap-1648	96	6	a	a	DET
ap-1648	96	7	twounit	twounit	NOUN
ap-1648	96	8	sat	sit	VERB
ap-1648	96	9	in	in	ADP
ap-1648	96	10	fig	fig	NOUN
ap-1648	96	11	.	.	PUNCT
ap-1648	97	1	4	4	X
ap-1648	97	2	.	.	X
ap-1648	97	3	with	with	ADP
ap-1648	97	4	more	more	ADJ
ap-1648	97	5	units	unit	NOUN
ap-1648	97	6	,	,	PUNCT
ap-1648	97	7	the	the	DET
ap-1648	97	8	problem	problem	NOUN
ap-1648	97	9	becomes	become	VERB
ap-1648	97	10	even	even	ADV
ap-1648	97	11	more	more	ADV
ap-1648	97	12	important	important	ADJ
ap-1648	97	13	.	.	PUNCT
ap-1648	98	1	in	in	ADP
ap-1648	98	2	order	order	NOUN
ap-1648	98	3	to	to	PART
ap-1648	98	4	maximize	maximize	VERB
ap-1648	98	5	the	the	DET
ap-1648	98	6	yield	yield	NOUN
ap-1648	98	7	,	,	PUNCT
ap-1648	98	8	shading	shading	NOUN
ap-1648	98	9	should	should	AUX
ap-1648	98	10	be	be	AUX
ap-1648	98	11	avoided	avoid	VERB
ap-1648	98	12	by	by	ADP
ap-1648	98	13	all	all	DET
ap-1648	98	14	means	mean	NOUN
ap-1648	98	15	,	,	PUNCT
ap-1648	98	16	even	even	ADV
ap-1648	98	17	though	though	SCONJ
ap-1648	98	18	a	a	DET
ap-1648	98	19	shadow	shadow	NOUN
ap-1648	98	20	-	-	PUNCT
ap-1648	98	21	free	free	ADJ
ap-1648	98	22	position	position	NOUN
ap-1648	98	23	is	be	AUX
ap-1648	98	24	not	not	PART
ap-1648	98	25	optimal	optimal	ADJ
ap-1648	98	26	in	in	ADP
ap-1648	98	27	terms	term	NOUN
ap-1648	98	28	of	of	ADP
ap-1648	98	29	the	the	DET
ap-1648	98	30	module	module	NOUN
ap-1648	98	31	-	-	PUNCT
ap-1648	98	32	sun	sun	NOUN
ap-1648	98	33	alignment	alignment	NOUN
ap-1648	98	34	,	,	PUNCT
ap-1648	98	35	as	as	SCONJ
ap-1648	98	36	discussed	discuss	VERB
ap-1648	98	37	in	in	ADP
ap-1648	98	38	section	section	NOUN
ap-1648	98	39	3	3	NUM
ap-1648	98	40	.	.	PUNCT
ap-1648	98	41	smart	smart	ADJ
ap-1648	98	42	control	control	NOUN
ap-1648	98	43	algorithms	algorithm	NOUN
ap-1648	98	44	should	should	AUX
ap-1648	98	45	be	be	AUX
ap-1648	98	46	able	able	ADJ
ap-1648	98	47	to	to	PART
ap-1648	98	48	detect	detect	VERB
ap-1648	98	49	when	when	SCONJ
ap-1648	98	50	sat	sit	VERB
ap-1648	98	51	self	self	NOUN
ap-1648	98	52	-	-	PUNCT
ap-1648	98	53	shading	shading	NOUN
ap-1648	98	54	occurs	occur	NOUN
ap-1648	98	55	and	and	CCONJ
ap-1648	98	56	hence	hence	ADV
ap-1648	98	57	update	update	VERB
ap-1648	98	58	the	the	DET
ap-1648	98	59	current	current	ADJ
ap-1648	98	60	rotation	rotation	NOUN
ap-1648	98	61	angle	angle	NOUN
ap-1648	98	62	so	so	SCONJ
ap-1648	98	63	that	that	SCONJ
ap-1648	98	64	no	no	DET
ap-1648	98	65	shading	shading	NOUN
ap-1648	98	66	can	can	AUX
ap-1648	98	67	occur	occur	VERB
ap-1648	98	68	,	,	PUNCT
ap-1648	98	69	while	while	SCONJ
ap-1648	98	70	still	still	ADV
ap-1648	98	71	optimizing	optimize	VERB
ap-1648	98	72	the	the	DET
ap-1648	98	73	module	module	NOUN
ap-1648	98	74	alignment	alignment	NOUN
ap-1648	98	75	for	for	ADP
ap-1648	98	76	maximum	maximum	ADJ
ap-1648	98	77	yield	yield	NOUN
ap-1648	98	78	.	.	PUNCT
ap-1648	99	1	this	this	DET
ap-1648	99	2	procedure	procedure	NOUN
ap-1648	99	3	is	be	AUX
ap-1648	99	4	known	know	VERB
ap-1648	99	5	as	as	ADP
ap-1648	99	6	backtracking	backtrack	VERB
ap-1648	99	7	.	.	PUNCT
ap-1648	100	1	the	the	DET
ap-1648	100	2	next	next	ADJ
ap-1648	100	3	section	section	NOUN
ap-1648	100	4	derives	derive	VERB
ap-1648	100	5	the	the	DET
ap-1648	100	6	equations	equation	NOUN
ap-1648	100	7	for	for	ADP
ap-1648	100	8	a	a	DET
ap-1648	100	9	shadow	shadow	NOUN
ap-1648	100	10	-	-	PUNCT
ap-1648	100	11	free	free	ADJ
ap-1648	100	12	sat	sit	VERB
ap-1648	100	13	backtracking	backtrack	VERB
ap-1648	100	14	control	control	NOUN
ap-1648	100	15	mechanism	mechanism	NOUN
ap-1648	100	16	that	that	PRON
ap-1648	100	17	maximizes	maximize	VERB
ap-1648	100	18	the	the	DET
ap-1648	100	19	electrical	electrical	ADJ
ap-1648	100	20	yield	yield	NOUN
ap-1648	100	21	.	.	PUNCT
ap-1648	101	1	first	first	ADV
ap-1648	101	2	,	,	PUNCT
ap-1648	101	3	it	it	PRON
ap-1648	101	4	is	be	AUX
ap-1648	101	5	necessary	necessary	ADJ
ap-1648	101	6	to	to	PART
ap-1648	101	7	check	check	VERB
ap-1648	101	8	whether	whether	SCONJ
ap-1648	101	9	self	self	NOUN
ap-1648	101	10	-	-	PUNCT
ap-1648	101	11	shading	shading	NOUN
ap-1648	101	12	occurs	occur	VERB
ap-1648	101	13	for	for	ADP
ap-1648	101	14	a	a	DET
ap-1648	101	15	given	give	VERB
ap-1648	101	16	sun	sun	NOUN
ap-1648	101	17	vector	vector	NOUN
ap-1648	101	18	s.	s.	PROPN
ap-1648	101	19	as	as	SCONJ
ap-1648	101	20	illustrated	illustrate	VERB
ap-1648	101	21	in	in	ADP
ap-1648	101	22	fig	fig	NOUN
ap-1648	101	23	.	.	PUNCT
ap-1648	102	1	4	4	NUM
ap-1648	102	2	,	,	PUNCT
ap-1648	102	3	the	the	DET
ap-1648	102	4	module	module	NOUN
ap-1648	102	5	surface	surface	NOUN
ap-1648	102	6	of	of	ADP
ap-1648	102	7	two	two	NUM
ap-1648	102	8	adjacent	adjacent	ADJ
ap-1648	102	9	sats	sat	NOUN
ap-1648	102	10	of	of	ADP
ap-1648	102	11	width	width	NOUN
ap-1648	102	12	a	a	DET
ap-1648	102	13	and	and	CCONJ
ap-1648	102	14	height	height	NOUN
ap-1648	102	15	h	h	NOUN
ap-1648	102	16	will	will	AUX
ap-1648	102	17	be	be	AUX
ap-1648	102	18	denoted	denote	VERB
ap-1648	102	19	as	as	ADP
ap-1648	102	20	f1	f1	NOUN
ap-1648	102	21	and	and	CCONJ
ap-1648	102	22	f2	f2	PROPN
ap-1648	102	23	,	,	PUNCT
ap-1648	102	24	respectively	respectively	ADV
ap-1648	102	25	.	.	PUNCT
ap-1648	103	1	the	the	DET
ap-1648	103	2	origin	origin	NOUN
ap-1648	103	3	of	of	ADP
ap-1648	103	4	the	the	DET
ap-1648	103	5	co	co	NOUN
ap-1648	103	6	-	-	NOUN
ap-1648	103	7	coordinates	coordinate	NOUN
ap-1648	103	8	is	be	AUX
ap-1648	103	9	placed	place	VERB
ap-1648	103	10	at	at	ADP
ap-1648	103	11	the	the	DET
ap-1648	103	12	center	center	NOUN
ap-1648	103	13	of	of	ADP
ap-1648	103	14	gravity	gravity	NOUN
ap-1648	103	15	of	of	ADP
ap-1648	103	16	f1	f1	NOUN
ap-1648	103	17	.	.	PUNCT
ap-1648	104	1	in	in	ADP
ap-1648	104	2	order	order	NOUN
ap-1648	104	3	to	to	PART
ap-1648	104	4	calculate	calculate	VERB
ap-1648	104	5	whether	whether	SCONJ
ap-1648	104	6	a	a	DET
ap-1648	104	7	shadow	shadow	NOUN
ap-1648	104	8	is	be	AUX
ap-1648	104	9	cast	cast	VERB
ap-1648	104	10	from	from	ADP
ap-1648	104	11	f1	f1	PROPN
ap-1648	104	12	to	to	ADP
ap-1648	104	13	f2	f2	PROPN
ap-1648	104	14	,	,	PUNCT
ap-1648	104	15	one	one	PRON
ap-1648	104	16	may	may	AUX
ap-1648	104	17	project	project	VERB
ap-1648	104	18	the	the	DET
ap-1648	104	19	corner	corner	NOUN
ap-1648	104	20	point	point	NOUN
ap-1648	104	21	p	p	NOUN
ap-1648	104	22	of	of	ADP
ap-1648	104	23	surface	surface	NOUN
ap-1648	104	24	f1	f1	NOUN
ap-1648	104	25	onto	onto	ADP
ap-1648	104	26	surface	surface	NOUN
ap-1648	104	27	f2	f2	PROPN
ap-1648	104	28	along	along	ADP
ap-1648	104	29	the	the	DET
ap-1648	104	30	sun	sun	NOUN
ap-1648	104	31	vector	vector	PROPN
ap-1648	104	32	s.	s.	PROPN
ap-1648	104	33	point	point	PROPN
ap-1648	104	34	p	p	PROPN
ap-1648	104	35	can	can	AUX
ap-1648	104	36	be	be	AUX
ap-1648	104	37	expressed	express	VERB
ap-1648	104	38	in	in	ADP
ap-1648	104	39	cartesian	cartesian	ADJ
ap-1648	104	40	coordinates	coordinate	NOUN
ap-1648	104	41	as	as	ADP
ap-1648	104	42	:	:	PUNCT
ap-1648	104	43	p	p	X
ap-1648	104	44	=	=	X
ap-1648	104	45	[	[	PUNCT
ap-1648	104	46	a	a	DET
ap-1648	104	47	2	2	NUM
ap-1648	104	48	yp	yp	NOUN
ap-1648	104	49	zp	zp	PROPN
ap-1648	105	1	]	]	X
ap-1648	105	2	t	t	X
ap-1648	105	3	,	,	PUNCT
ap-1648	105	4	with	with	ADP
ap-1648	105	5	yp	yp	PROPN
ap-1648	105	6	=	=	SYM
ap-1648	105	7	d	d	PROPN
ap-1648	105	8	2	2	NUM
ap-1648	105	9	cosα	cosα	NOUN
ap-1648	105	10	and	and	CCONJ
ap-1648	105	11	zp	zp	NOUN
ap-1648	105	12	=	=	SYM
ap-1648	105	13	d	d	SYM
ap-1648	105	14	2	2	NUM
ap-1648	105	15	sinα	sinα	NOUN
ap-1648	105	16	.	.	PUNCT
ap-1648	106	1	the	the	DET
ap-1648	106	2	line	line	NOUN
ap-1648	106	3	s	s	VERB
ap-1648	106	4	that	that	PRON
ap-1648	106	5	passes	pass	VERB
ap-1648	106	6	through	through	ADP
ap-1648	106	7	p	p	NOUN
ap-1648	106	8	and	and	CCONJ
ap-1648	106	9	is	be	AUX
ap-1648	106	10	parallel	parallel	ADJ
ap-1648	106	11	to	to	ADP
ap-1648	106	12	the	the	DET
ap-1648	106	13	sun	sun	NOUN
ap-1648	106	14	vector	vector	NOUN
ap-1648	106	15	s	s	PART
ap-1648	106	16	can	can	AUX
ap-1648	106	17	be	be	AUX
ap-1648	106	18	expressed	express	VERB
ap-1648	106	19	as	as	ADP
ap-1648	106	20	:	:	PUNCT
ap-1648	106	21	s	s	X
ap-1648	106	22	:	:	PUNCT
ap-1648	106	23	p+	p+	NOUN
ap-1648	106	24	λs	λs	PROPN
ap-1648	106	25	.	.	PUNCT
ap-1648	107	1	(	(	PUNCT
ap-1648	107	2	12	12	NUM
ap-1648	107	3	)	)	PUNCT
ap-1648	107	4	according	accord	VERB
ap-1648	107	5	to	to	ADP
ap-1648	107	6	equation	equation	NOUN
ap-1648	107	7	(	(	PUNCT
ap-1648	107	8	7	7	NUM
ap-1648	107	9	)	)	PUNCT
ap-1648	107	10	,	,	PUNCT
ap-1648	107	11	the	the	DET
ap-1648	107	12	normal	normal	ADJ
ap-1648	107	13	vector	vector	NOUN
ap-1648	107	14	v	v	NOUN
ap-1648	107	15	of	of	ADP
ap-1648	107	16	surface	surface	NOUN
ap-1648	107	17	f1	f1	NOUN
ap-1648	107	18	corresponds	correspond	VERB
ap-1648	107	19	to	to	ADP
ap-1648	107	20	:	:	PUNCT
ap-1648	107	21	v	v	NOUN
ap-1648	107	22	=	=	NOUN
ap-1648	107	23			NOUN
ap-1648	107	24	0	0	NUM
ap-1648	108	1	−	−	NOUN
ap-1648	108	2	sinα	sinα	NOUN
ap-1648	108	3	cosα	cosα	NOUN
ap-1648	108	4			PROPN
ap-1648	108	5	.	.	PUNCT
ap-1648	109	1	(	(	PUNCT
ap-1648	109	2	13	13	NUM
ap-1648	109	3	)	)	PUNCT
ap-1648	109	4	the	the	DET
ap-1648	109	5	plane	plane	NOUN
ap-1648	109	6	that	that	PRON
ap-1648	109	7	surface	surface	NOUN
ap-1648	109	8	f2	f2	PROPN
ap-1648	109	9	is	be	AUX
ap-1648	109	10	part	part	NOUN
ap-1648	109	11	of	of	ADP
ap-1648	109	12	can	can	AUX
ap-1648	109	13	be	be	AUX
ap-1648	109	14	parametrized	parametrize	VERB
ap-1648	109	15	by	by	ADP
ap-1648	109	16	f2,plane	f2,plane	NOUN
ap-1648	109	17	:	:	PUNCT
ap-1648	109	18	v	v	PART
ap-1648	109	19	·	·	PUNCT
ap-1648	109	20	r	r	NOUN
ap-1648	109	21	−	−	NOUN
ap-1648	109	22	b	b	NOUN
ap-1648	109	23	=	=	SYM
ap-1648	109	24	0	0	PROPN
ap-1648	109	25	,	,	PUNCT
ap-1648	109	26	(	(	PUNCT
ap-1648	109	27	14	14	NUM
ap-1648	109	28	)	)	PUNCT
ap-1648	109	29	where	where	SCONJ
ap-1648	109	30	r	r	NOUN
ap-1648	109	31	is	be	AUX
ap-1648	109	32	an	an	DET
ap-1648	109	33	arbitrary	arbitrary	ADJ
ap-1648	109	34	point	point	NOUN
ap-1648	109	35	on	on	ADP
ap-1648	109	36	the	the	DET
ap-1648	109	37	plane	plane	NOUN
ap-1648	109	38	and	and	CCONJ
ap-1648	109	39	b	b	NOUN
ap-1648	109	40	is	be	AUX
ap-1648	109	41	a	a	DET
ap-1648	109	42	constant	constant	ADJ
ap-1648	109	43	that	that	PRON
ap-1648	109	44	must	must	AUX
ap-1648	109	45	be	be	AUX
ap-1648	109	46	determined	determine	VERB
ap-1648	109	47	.	.	PUNCT
ap-1648	110	1	we	we	PRON
ap-1648	110	2	choose	choose	VERB
ap-1648	110	3	r	r	NOUN
ap-1648	110	4	=	=	PUNCT
ap-1648	111	1	[	[	X
ap-1648	111	2	0	0	NUM
ap-1648	111	3	d	d	NOUN
ap-1648	111	4	0]t	0]t	NOUN
ap-1648	111	5	and	and	CCONJ
ap-1648	111	6	rearrange	rearrange	VERB
ap-1648	111	7	for	for	SCONJ
ap-1648	111	8	b	b	NOUN
ap-1648	111	9	to	to	PART
ap-1648	111	10	find	find	VERB
ap-1648	111	11	b	b	X
ap-1648	111	12	=	=	PUNCT
ap-1648	111	13	−d	−d	PROPN
ap-1648	111	14	sinα	sinα	NOUN
ap-1648	111	15	.	.	PUNCT
ap-1648	112	1	(	(	PUNCT
ap-1648	112	2	15	15	NUM
ap-1648	112	3	)	)	PUNCT
ap-1648	112	4	insertion	insertion	NOUN
ap-1648	112	5	of	of	ADP
ap-1648	112	6	(	(	PUNCT
ap-1648	112	7	12	12	NUM
ap-1648	112	8	)	)	PUNCT
ap-1648	112	9	for	for	ADP
ap-1648	112	10	vector	vector	NOUN
ap-1648	112	11	r	r	NOUN
ap-1648	112	12	into	into	ADP
ap-1648	112	13	(	(	PUNCT
ap-1648	112	14	14	14	NUM
ap-1648	112	15	)	)	PUNCT
ap-1648	112	16	and	and	CCONJ
ap-1648	112	17	rearranging	rearrange	VERB
ap-1648	112	18	for	for	ADP
ap-1648	112	19	λ	λ	PROPN
ap-1648	112	20	gives	give	VERB
ap-1648	112	21	:	:	PUNCT
ap-1648	112	22	v	v	NOUN
ap-1648	112	23	·	·	PUNCT
ap-1648	112	24	(	(	PUNCT
ap-1648	112	25	p+	p+	NOUN
ap-1648	112	26	λs)−	λs)−	X
ap-1648	112	27	b	b	X
ap-1648	112	28	=	=	SYM
ap-1648	112	29	0	0	NUM
ap-1648	112	30	,	,	PUNCT
ap-1648	112	31	thus	thus	ADV
ap-1648	112	32	λ	λ	X
ap-1648	112	33	=	=	SYM
ap-1648	112	34	b−	b−	PROPN
ap-1648	112	35	v	v	NOUN
ap-1648	112	36	·	·	PUNCT
ap-1648	112	37	p	p	X
ap-1648	112	38	v	v	X
ap-1648	112	39	·	·	PUNCT
ap-1648	112	40	s	s	PART
ap-1648	112	41	=	=	SYM
ap-1648	112	42	b	b	PROPN
ap-1648	112	43	vs	vs	ADP
ap-1648	112	44	=	=	SYM
ap-1648	112	45	−	−	PROPN
ap-1648	112	46	d	d	X
ap-1648	112	47	sinα	sinα	X
ap-1648	112	48	zs	zs	PROPN
ap-1648	112	49	cosα−	cosα−	PROPN
ap-1648	112	50	ys	ys	PROPN
ap-1648	112	51	sinα	sinα	NOUN
ap-1648	112	52	.	.	PUNCT
ap-1648	113	1	(	(	PUNCT
ap-1648	113	2	16	16	NUM
ap-1648	113	3	)	)	PUNCT
ap-1648	113	4	we	we	PRON
ap-1648	113	5	are	be	AUX
ap-1648	113	6	now	now	ADV
ap-1648	113	7	in	in	ADP
ap-1648	113	8	a	a	DET
ap-1648	113	9	position	position	NOUN
ap-1648	113	10	to	to	PART
ap-1648	113	11	detect	detect	VERB
ap-1648	113	12	whether	whether	SCONJ
ap-1648	113	13	shading	shade	VERB
ap-1648	113	14	from	from	ADP
ap-1648	113	15	surface	surface	NOUN
ap-1648	113	16	f1	f1	NOUN
ap-1648	113	17	onto	onto	ADP
ap-1648	113	18	f2	f2	PROPN
ap-1648	113	19	occurs	occur	VERB
ap-1648	113	20	:	:	PUNCT
ap-1648	113	21	by	by	ADP
ap-1648	113	22	inserting	insert	VERB
ap-1648	113	23	(	(	PUNCT
ap-1648	113	24	16	16	NUM
ap-1648	113	25	)	)	PUNCT
ap-1648	113	26	into	into	ADP
ap-1648	113	27	(	(	PUNCT
ap-1648	113	28	12	12	NUM
ap-1648	113	29	)	)	PUNCT
ap-1648	113	30	,	,	PUNCT
ap-1648	113	31	one	one	PRON
ap-1648	113	32	finds	find	VERB
ap-1648	113	33	the	the	DET
ap-1648	113	34	cartesian	cartesian	ADJ
ap-1648	113	35	coordinates	coordinate	NOUN
ap-1648	113	36	of	of	ADP
ap-1648	113	37	the	the	DET
ap-1648	113	38	planeline	planeline	NOUN
ap-1648	113	39	intersection	intersection	NOUN
ap-1648	113	40	point	point	NOUN
ap-1648	113	41	b	b	PROPN
ap-1648	113	42	(	(	PUNCT
ap-1648	113	43	cf	cf	NOUN
ap-1648	113	44	.	.	PUNCT
ap-1648	113	45	fig	fig	NOUN
ap-1648	113	46	.	.	PUNCT
ap-1648	114	1	4	4	NUM
ap-1648	114	2	)	)	PUNCT
ap-1648	114	3	.	.	PUNCT
ap-1648	115	1	since	since	SCONJ
ap-1648	115	2	b	b	PROPN
ap-1648	115	3	can	can	AUX
ap-1648	115	4	lie	lie	VERB
ap-1648	115	5	anywhere	anywhere	ADV
ap-1648	115	6	on	on	ADP
ap-1648	115	7	the	the	DET
ap-1648	115	8	plane	plane	NOUN
ap-1648	115	9	and	and	CCONJ
ap-1648	115	10	must	must	AUX
ap-1648	115	11	not	not	PART
ap-1648	115	12	necessarily	necessarily	ADV
ap-1648	115	13	lie	lie	VERB
ap-1648	115	14	on	on	ADP
ap-1648	115	15	surface	surface	NOUN
ap-1648	115	16	f2	f2	PROPN
ap-1648	115	17	,	,	PUNCT
ap-1648	115	18	an	an	DET
ap-1648	115	19	interval	interval	NOUN
ap-1648	115	20	check	check	NOUN
ap-1648	115	21	must	must	AUX
ap-1648	115	22	be	be	AUX
ap-1648	115	23	performed	perform	VERB
ap-1648	115	24	to	to	PART
ap-1648	115	25	test	test	VERB
ap-1648	115	26	whether	whether	SCONJ
ap-1648	115	27	b	b	NOUN
ap-1648	115	28	is	be	AUX
ap-1648	115	29	inside	inside	ADP
ap-1648	115	30	the	the	DET
ap-1648	115	31	bounding	bounding	NOUN
ap-1648	115	32	box	box	NOUN
ap-1648	115	33	of	of	ADP
ap-1648	115	34	f2	f2	PROPN
ap-1648	115	35	.	.	PUNCT
ap-1648	116	1	if	if	SCONJ
ap-1648	116	2	the	the	DET
ap-1648	116	3	check	check	NOUN
ap-1648	116	4	is	be	AUX
ap-1648	116	5	positive	positive	ADJ
ap-1648	116	6	,	,	PUNCT
ap-1648	116	7	shading	shading	NOUN
ap-1648	116	8	occurs	occur	NOUN
ap-1648	116	9	and	and	CCONJ
ap-1648	116	10	a	a	DET
ap-1648	116	11	new	new	ADJ
ap-1648	116	12	,	,	PUNCT
ap-1648	116	13	shadow	shadow	NOUN
ap-1648	116	14	-	-	PUNCT
ap-1648	116	15	free	free	ADJ
ap-1648	116	16	rotation	rotation	NOUN
ap-1648	116	17	angle	angle	NOUN
ap-1648	116	18	should	should	AUX
ap-1648	116	19	be	be	AUX
ap-1648	116	20	found	find	VERB
ap-1648	116	21	.	.	PUNCT
ap-1648	117	1	if	if	SCONJ
ap-1648	117	2	shading	shading	NOUN
ap-1648	117	3	occurs	occur	VERB
ap-1648	117	4	,	,	PUNCT
ap-1648	117	5	the	the	DET
ap-1648	117	6	tracker	tracker	NOUN
ap-1648	117	7	should	should	AUX
ap-1648	117	8	be	be	AUX
ap-1648	117	9	rotated	rotate	VERB
ap-1648	117	10	as	as	ADV
ap-1648	117	11	far	far	ADV
ap-1648	117	12	as	as	ADP
ap-1648	117	13	the	the	DET
ap-1648	117	14	lower	low	ADJ
ap-1648	117	15	bound	bind	VERB
ap-1648	117	16	of	of	ADP
ap-1648	117	17	surface	surface	NOUN
ap-1648	117	18	f2	f2	PROPN
ap-1648	117	19	(	(	PUNCT
ap-1648	117	20	green	green	ADJ
ap-1648	117	21	line	line	NOUN
ap-1648	117	22	in	in	ADP
ap-1648	117	23	89	89	NUM
ap-1648	117	24	acta	acta	PROPN
ap-1648	117	25	polytechnica	polytechnica	PROPN
ap-1648	117	26	vol	vol	NOUN
ap-1648	117	27	.	.	PROPN
ap-1648	118	1	52	52	NUM
ap-1648	118	2	no	no	NOUN
ap-1648	118	3	.	.	PUNCT
ap-1648	119	1	5/2012	5/2012	NUM
ap-1648	119	2	0	0	NUM
ap-1648	119	3	1	1	NUM
ap-1648	119	4	2	2	NUM
ap-1648	119	5	3	3	NUM
ap-1648	119	6	4	4	NUM
ap-1648	119	7	5	5	NUM
ap-1648	119	8	6	6	NUM
ap-1648	119	9	7	7	NUM
ap-1648	119	10	8	8	NUM
ap-1648	119	11	9	9	NUM
ap-1648	119	12	10	10	NUM
ap-1648	119	13	11	11	NUM
ap-1648	119	14	12	12	NUM
ap-1648	119	15	13	13	NUM
ap-1648	119	16	14	14	NUM
ap-1648	119	17	15	15	NUM
ap-1648	119	18	16	16	NUM
ap-1648	119	19	17	17	NUM
ap-1648	119	20	18	18	NUM
ap-1648	119	21	19	19	NUM
ap-1648	119	22	20	20	NUM
ap-1648	119	23	21	21	NUM
ap-1648	119	24	22	22	NUM
ap-1648	119	25	23	23	NUM
ap-1648	119	26	24	24	NUM
ap-1648	119	27	25	25	NUM
ap-1648	120	1	-200	-200	NUM
ap-1648	120	2	-175	-175	INTJ
ap-1648	121	1	-150	-150	INTJ
ap-1648	122	1	-125	-125	INTJ
ap-1648	123	1	-100	-100	PROPN
ap-1648	123	2	-75	-75	PUNCT
ap-1648	123	3	-50	-50	PUNCT
ap-1648	123	4	-25	-25	SYM
ap-1648	123	5	0	0	NUM
ap-1648	123	6	25	25	NUM
ap-1648	123	7	50	50	NUM
ap-1648	123	8	75	75	NUM
ap-1648	123	9	100	100	NUM
ap-1648	123	10	125	125	NUM
ap-1648	123	11	150	150	NUM
ap-1648	123	12	175	175	NUM
ap-1648	123	13	200	200	NUM
ap-1648	123	14	time	time	NOUN
ap-1648	124	1	[	[	X
ap-1648	124	2	h	h	X
ap-1648	124	3	]	]	X
ap-1648	124	4	an	an	DET
ap-1648	124	5	gl	gl	X
ap-1648	124	6	e	e	NOUN
ap-1648	124	7	[	[	PUNCT
ap-1648	124	8	°	°	ADP
ap-1648	124	9	]	]	X
ap-1648	124	10	backtrack	backtrack	VERB
ap-1648	124	11	ing	ing	ADJ
ap-1648	124	12	backtrack	backtrack	NOUN
ap-1648	124	13	ing	e	VERB
ap-1648	124	14	tracking	track	VERB
ap-1648	124	15	+	+	CCONJ
ap-1648	124	16	backtracking	backtrack	VERB
ap-1648	124	17	optimal	optimal	ADJ
ap-1648	124	18	tracking	tracking	NOUN
ap-1648	124	19	sun	sun	PROPN
ap-1648	124	20	azimuth	azimuth	PROPN
ap-1648	124	21	sun	sun	PROPN
ap-1648	124	22	elevation	elevation	NOUN
ap-1648	124	23	figure	figure	NOUN
ap-1648	124	24	5	5	NUM
ap-1648	124	25	:	:	PUNCT
ap-1648	124	26	tracking	track	VERB
ap-1648	124	27	and	and	CCONJ
ap-1648	124	28	backtracking	backtrack	VERB
ap-1648	124	29	angles	angle	NOUN
ap-1648	124	30	,	,	PUNCT
ap-1648	124	31	sun	sun	NOUN
ap-1648	124	32	azimuth	azimuth	NOUN
ap-1648	124	33	and	and	CCONJ
ap-1648	124	34	elevation	elevation	NOUN
ap-1648	124	35	plotted	plot	VERB
ap-1648	124	36	for	for	ADP
ap-1648	124	37	january	january	PROPN
ap-1648	124	38	1st	1st	NOUN
ap-1648	124	39	,	,	PUNCT
ap-1648	124	40	2012	2012	NUM
ap-1648	124	41	in	in	ADP
ap-1648	124	42	berlin	berlin	PROPN
ap-1648	124	43	.	.	PUNCT
ap-1648	125	1	the	the	DET
ap-1648	125	2	maximal	maximal	ADJ
ap-1648	125	3	rotation	rotation	NOUN
ap-1648	125	4	angle	angle	NOUN
ap-1648	125	5	has	have	AUX
ap-1648	125	6	been	be	AUX
ap-1648	125	7	clipped	clip	VERB
ap-1648	125	8	to	to	PART
ap-1648	125	9	±45	±45	NOUN
ap-1648	125	10	°	°	NOUN
ap-1648	125	11	.	.	PUNCT
ap-1648	126	1	as	as	SCONJ
ap-1648	126	2	the	the	DET
ap-1648	126	3	sun	sun	NOUN
ap-1648	126	4	elevation	elevation	NOUN
ap-1648	126	5	angle	angle	NOUN
ap-1648	126	6	is	be	AUX
ap-1648	126	7	low	low	ADJ
ap-1648	126	8	,	,	PUNCT
ap-1648	126	9	backtracking	backtracking	NOUN
ap-1648	126	10	occurs	occur	VERB
ap-1648	126	11	from	from	ADP
ap-1648	126	12	8	8	NUM
ap-1648	126	13	am	am	NOUN
ap-1648	126	14	to	to	ADP
ap-1648	126	15	10	10	NUM
ap-1648	126	16	am	am	NOUN
ap-1648	126	17	,	,	PUNCT
ap-1648	126	18	and	and	CCONJ
ap-1648	126	19	also	also	ADV
ap-1648	126	20	from	from	ADP
ap-1648	126	21	14.30	14.30	NUM
ap-1648	126	22	pm	pm	NOUN
ap-1648	126	23	and	and	CCONJ
ap-1648	126	24	16.30	16.30	NUM
ap-1648	126	25	pm	pm	NOUN
ap-1648	126	26	.	.	PUNCT
ap-1648	127	1	fig	fig	NOUN
ap-1648	127	2	.	.	PUNCT
ap-1648	128	1	4	4	NUM
ap-1648	128	2	denoted	denote	VERB
ap-1648	128	3	as	as	ADP
ap-1648	128	4	w	w	NOUN
ap-1648	128	5	)	)	PUNCT
ap-1648	128	6	intersects	intersect	NOUN
ap-1648	128	7	with	with	ADP
ap-1648	128	8	line	line	NOUN
ap-1648	128	9	s.	s.	PROPN
ap-1648	128	10	line	line	PROPN
ap-1648	128	11	w	w	PROPN
ap-1648	128	12	can	can	AUX
ap-1648	128	13	be	be	AUX
ap-1648	128	14	parametrized	parametrize	VERB
ap-1648	128	15	by	by	ADP
ap-1648	128	16	w	w	PROPN
ap-1648	128	17	:	:	PUNCT
ap-1648	128	18			NOUN
ap-1648	128	19	−a2	−a2	NOUN
ap-1648	129	1	+	+	CCONJ
ap-1648	129	2	µa	µa	NOUN
ap-1648	129	3	−yp	−yp	X
ap-1648	129	4	+	+	NOUN
ap-1648	129	5	d	d	NOUN
ap-1648	129	6	−zp	−zp	NUM
ap-1648	129	7			NOUN
ap-1648	129	8	.	.	PUNCT
ap-1648	130	1	(	(	PUNCT
ap-1648	130	2	17	17	NUM
ap-1648	130	3	)	)	PUNCT
ap-1648	130	4	to	to	PART
ap-1648	130	5	find	find	VERB
ap-1648	130	6	the	the	DET
ap-1648	130	7	rotation	rotation	NOUN
ap-1648	130	8	angle	angle	NOUN
ap-1648	130	9	that	that	PRON
ap-1648	130	10	avoids	avoid	VERB
ap-1648	130	11	shading	shading	NOUN
ap-1648	130	12	,	,	PUNCT
ap-1648	130	13	the	the	DET
ap-1648	130	14	intersection	intersection	NOUN
ap-1648	130	15	point	point	NOUN
ap-1648	130	16	between	between	ADP
ap-1648	130	17	s	s	PRON
ap-1648	130	18	and	and	CCONJ
ap-1648	130	19	w	w	PROPN
ap-1648	130	20	must	must	AUX
ap-1648	130	21	be	be	AUX
ap-1648	130	22	found	find	VERB
ap-1648	130	23	by	by	ADP
ap-1648	130	24	equalizing	equalize	VERB
ap-1648	130	25	the	the	DET
ap-1648	130	26	line	line	NOUN
ap-1648	130	27	expressions	expression	NOUN
ap-1648	130	28	w	w	NOUN
ap-1648	130	29	=	=	SYM
ap-1648	130	30	s	s	PROPN
ap-1648	130	31	,	,	PUNCT
ap-1648	131	1	thus	thus	PROPN
ap-1648	131	2	−a2	−a2	NOUN
ap-1648	131	3	+	+	CCONJ
ap-1648	131	4	µa	µa	ADP
ap-1648	131	5	−d2	−d2	PROPN
ap-1648	131	6	cosα+d	cosα+d	VERB
ap-1648	131	7	−d2	−d2	NUM
ap-1648	131	8	sinα	sinα	NOUN
ap-1648	132	1			NOUN
ap-1648	132	2	=	=	PUNCT
ap-1648	132	3			NOUN
ap-1648	132	4	−a2	−a2	NOUN
ap-1648	133	1	+	+	CCONJ
ap-1648	133	2	λxs	λxs	X
ap-1648	133	3	d	d	SYM
ap-1648	133	4	2	2	NUM
ap-1648	133	5	cosα+	cosα+	X
ap-1648	133	6	λys	λys	NOUN
ap-1648	134	1	d	d	PROPN
ap-1648	134	2	2	2	NUM
ap-1648	134	3	sinα+	sinα+	NOUN
ap-1648	134	4	λzs	λzs	ADJ
ap-1648	134	5			NOUN
ap-1648	134	6	.	.	PUNCT
ap-1648	135	1	(	(	PUNCT
ap-1648	135	2	18	18	NUM
ap-1648	135	3	)	)	PUNCT
ap-1648	135	4	this	this	PRON
ap-1648	135	5	gives	give	VERB
ap-1648	135	6	us	we	PRON
ap-1648	135	7	a	a	DET
ap-1648	135	8	nonlinear	nonlinear	ADJ
ap-1648	135	9	system	system	NOUN
ap-1648	135	10	with	with	ADP
ap-1648	135	11	three	three	NUM
ap-1648	135	12	unknowns	unknown	NOUN
ap-1648	135	13	(	(	PUNCT
ap-1648	135	14	α	α	NOUN
ap-1648	135	15	,	,	PUNCT
ap-1648	135	16	λ	λ	PROPN
ap-1648	135	17	,	,	PUNCT
ap-1648	135	18	µ	µ	NOUN
ap-1648	135	19	)	)	PUNCT
ap-1648	135	20	and	and	CCONJ
ap-1648	135	21	three	three	NUM
ap-1648	135	22	equations	equation	NOUN
ap-1648	135	23	that	that	PRON
ap-1648	135	24	we	we	PRON
ap-1648	135	25	solve	solve	VERB
ap-1648	135	26	numerically	numerically	ADV
ap-1648	135	27	to	to	PART
ap-1648	135	28	find	find	VERB
ap-1648	135	29	two	two	NUM
ap-1648	135	30	solutions	solution	NOUN
ap-1648	135	31	for	for	ADP
ap-1648	135	32	the	the	DET
ap-1648	135	33	shadow	shadow	NOUN
ap-1648	135	34	-	-	PUNCT
ap-1648	135	35	free	free	ADJ
ap-1648	135	36	rotation	rotation	NOUN
ap-1648	135	37	angle	angle	NOUN
ap-1648	135	38	(	(	PUNCT
ap-1648	135	39	including	include	VERB
ap-1648	135	40	(	(	PUNCT
ap-1648	135	41	5	5	NUM
ap-1648	135	42	)	)	PUNCT
ap-1648	135	43	)	)	PUNCT
ap-1648	135	44	αsf	αsf	NOUN
ap-1648	135	45	:	:	PUNCT
ap-1648	135	46	αsf,1	αsf,1	VERB
ap-1648	135	47	=	=	SYM
ap-1648	135	48	arccos	arccos	X
ap-1648	135	49	a−	a−	PROPN
ap-1648	135	50	√	√	NUM
ap-1648	135	51	b	b	PROPN
ap-1648	135	52	c	c	NOUN
ap-1648	135	53	−	−	PROPN
ap-1648	135	54	δβ	δβ	NOUN
ap-1648	135	55	,	,	PUNCT
ap-1648	135	56	(	(	PUNCT
ap-1648	135	57	19	19	NUM
ap-1648	135	58	)	)	PUNCT
ap-1648	135	59	αsf,1	αsf,1	NOUN
ap-1648	135	60	=	=	PUNCT
ap-1648	135	61	arccos	arcco	NOUN
ap-1648	135	62	a+	a+	PUNCT
ap-1648	135	63	√	√	NUM
ap-1648	135	64	b	b	NOUN
ap-1648	135	65	c	c	NOUN
ap-1648	135	66	−	−	PROPN
ap-1648	135	67	δβ	δβ	NOUN
ap-1648	135	68	,	,	PUNCT
ap-1648	135	69	(	(	PUNCT
ap-1648	135	70	20	20	NUM
ap-1648	135	71	)	)	PUNCT
ap-1648	135	72	where	where	SCONJ
ap-1648	135	73	a	a	DET
ap-1648	135	74	=	=	X
ap-1648	135	75	hdz2	hdz2	PROPN
ap-1648	135	76	s	s	X
ap-1648	135	77	,	,	PUNCT
ap-1648	135	78	b	b	X
ap-1648	135	79	=	=	PRON
ap-1648	135	80	h4y4	h4y4	X
ap-1648	135	81	s	s	X
ap-1648	135	82	+	+	PROPN
ap-1648	135	83	h4y2	h4y2	X
ap-1648	135	84	sz	sz	ADJ
ap-1648	135	85	2	2	NUM
ap-1648	135	86	s	s	PART
ap-1648	135	87	−h2d2y2	−h2d2y2	NOUN
ap-1648	135	88	sz	sz	PROPN
ap-1648	135	89	2	2	NUM
ap-1648	135	90	s	s	PART
ap-1648	135	91	,	,	PUNCT
ap-1648	135	92	c	c	X
ap-1648	135	93	=	=	PUNCT
ap-1648	136	1	h2y2	h2y2	X
ap-1648	136	2	s	s	PART
ap-1648	136	3	+	+	NOUN
ap-1648	136	4	h2z2	h2z2	X
ap-1648	136	5	s	s	PART
ap-1648	136	6	.	.	PUNCT
ap-1648	137	1	the	the	DET
ap-1648	137	2	actual	actual	ADJ
ap-1648	137	3	values	value	NOUN
ap-1648	137	4	for	for	ADP
ap-1648	137	5	λ	λ	PROPN
ap-1648	137	6	and	and	CCONJ
ap-1648	137	7	µ	µ	NOUN
ap-1648	137	8	are	be	AUX
ap-1648	137	9	of	of	ADP
ap-1648	137	10	no	no	DET
ap-1648	137	11	interest	interest	NOUN
ap-1648	137	12	for	for	ADP
ap-1648	137	13	our	our	PRON
ap-1648	137	14	problem	problem	NOUN
ap-1648	137	15	.	.	PUNCT
ap-1648	138	1	it	it	PRON
ap-1648	138	2	is	be	AUX
ap-1648	138	3	intuitive	intuitive	ADJ
ap-1648	138	4	that	that	SCONJ
ap-1648	138	5	the	the	DET
ap-1648	138	6	system	system	NOUN
ap-1648	138	7	angle	angle	NOUN
ap-1648	138	8	αsf	αsf	NOUN
ap-1648	138	9	should	should	AUX
ap-1648	138	10	be	be	AUX
ap-1648	138	11	minimal	minimal	ADJ
ap-1648	138	12	.	.	PUNCT
ap-1648	139	1	obviously	obviously	ADV
ap-1648	139	2	,	,	PUNCT
ap-1648	139	3	equation	equation	NOUN
ap-1648	139	4	(	(	PUNCT
ap-1648	139	5	19	19	NUM
ap-1648	139	6	)	)	PUNCT
ap-1648	139	7	does	do	AUX
ap-1648	139	8	not	not	PART
ap-1648	139	9	meet	meet	VERB
ap-1648	139	10	this	this	DET
ap-1648	139	11	requirement	requirement	NOUN
ap-1648	139	12	,	,	PUNCT
ap-1648	139	13	which	which	PRON
ap-1648	139	14	leaves	leave	VERB
ap-1648	139	15	us	we	PRON
ap-1648	139	16	with	with	ADP
ap-1648	139	17	2	2	NUM
ap-1648	139	18	4	4	NUM
ap-1648	139	19	6	6	NUM
ap-1648	139	20	8	8	NUM
ap-1648	139	21	10	10	NUM
ap-1648	139	22	12	12	NUM
ap-1648	139	23	0	0	NUM
ap-1648	139	24	10	10	NUM
ap-1648	139	25	20	20	NUM
ap-1648	139	26	30	30	NUM
ap-1648	139	27	40	40	NUM
ap-1648	139	28	50	50	NUM
ap-1648	139	29	60	60	NUM
ap-1648	139	30	70	70	NUM
ap-1648	139	31	80	80	NUM
ap-1648	139	32	90	90	NUM
ap-1648	139	33	100	100	NUM
ap-1648	139	34	month	month	NOUN
ap-1648	139	35	yi	yi	NOUN
ap-1648	140	1	el	el	PROPN
ap-1648	140	2	d	d	PROPN
ap-1648	140	3	(	(	PUNCT
ap-1648	140	4	r	r	NOUN
ap-1648	140	5	el	el	PROPN
ap-1648	140	6	at	at	ADP
ap-1648	140	7	iv	iv	NUM
ap-1648	140	8	e	e	NOUN
ap-1648	140	9	to	to	ADP
ap-1648	140	10	th	th	NUM
ap-1648	140	11	e	e	NOUN
ap-1648	140	12	m	m	VERB
ap-1648	140	13	ax	ax	INTJ
ap-1648	141	1	i	i	NOUN
ap-1648	141	2	m	m	VERB
ap-1648	141	3	al	al	PROPN
ap-1648	141	4	a	a	DET
ap-1648	141	5	ch	ch	NOUN
ap-1648	141	6	ie	ie	X
ap-1648	141	7	ve	ve	VERB
ap-1648	141	8	ab	ab	PROPN
ap-1648	141	9	le	le	PROPN
ap-1648	141	10	y	y	PROPN
ap-1648	141	11	ie	ie	X
ap-1648	141	12	ld	ld	PROPN
ap-1648	141	13	)	)	PUNCT
ap-1648	141	14	[	[	PUNCT
ap-1648	141	15	%	%	NOUN
ap-1648	141	16	]	]	X
ap-1648	141	17	fixed	fix	VERB
ap-1648	141	18	-	-	PUNCT
ap-1648	141	19	tilt	tilt	NOUN
ap-1648	141	20	sat	sit	VERB
ap-1648	141	21	+	+	CCONJ
ap-1648	141	22	bt	bt	PRON
ap-1648	141	23	figure	figure	NOUN
ap-1648	141	24	6	6	NUM
ap-1648	141	25	:	:	PUNCT
ap-1648	141	26	comparison	comparison	NOUN
ap-1648	141	27	of	of	ADP
ap-1648	141	28	fixed	fix	VERB
ap-1648	141	29	-	-	PUNCT
ap-1648	141	30	tilt	tilt	NOUN
ap-1648	141	31	yields	yield	NOUN
ap-1648	141	32	and	and	CCONJ
ap-1648	141	33	sat	sit	VERB
ap-1648	141	34	yields	yield	NOUN
ap-1648	141	35	for	for	ADP
ap-1648	141	36	each	each	DET
ap-1648	141	37	month	month	NOUN
ap-1648	141	38	of	of	ADP
ap-1648	141	39	a	a	DET
ap-1648	141	40	year	year	NOUN
ap-1648	141	41	.	.	PUNCT
ap-1648	142	1	the	the	DET
ap-1648	142	2	results	result	NOUN
ap-1648	142	3	are	be	AUX
ap-1648	142	4	normed	norme	VERB
ap-1648	142	5	to	to	ADP
ap-1648	142	6	the	the	DET
ap-1648	142	7	maximum	maximum	ADJ
ap-1648	142	8	yield	yield	NOUN
ap-1648	142	9	that	that	PRON
ap-1648	142	10	could	could	AUX
ap-1648	142	11	be	be	AUX
ap-1648	142	12	achieved	achieve	VERB
ap-1648	142	13	with	with	ADP
ap-1648	142	14	a	a	DET
ap-1648	142	15	perfectly	perfectly	ADV
ap-1648	142	16	aligned	align	VERB
ap-1648	142	17	module	module	NOUN
ap-1648	142	18	plane	plane	NOUN
ap-1648	142	19	.	.	PUNCT
ap-1648	143	1	the	the	DET
ap-1648	143	2	final	final	ADJ
ap-1648	143	3	solution	solution	NOUN
ap-1648	143	4	(	(	PUNCT
ap-1648	143	5	20	20	NUM
ap-1648	143	6	)	)	PUNCT
ap-1648	143	7	for	for	ADP
ap-1648	143	8	the	the	DET
ap-1648	143	9	best	good	ADJ
ap-1648	143	10	,	,	PUNCT
ap-1648	143	11	shadow	shadow	NOUN
ap-1648	143	12	-	-	PUNCT
ap-1648	143	13	free	free	ADJ
ap-1648	143	14	backtracking	backtrack	VERB
ap-1648	143	15	angle	angle	NOUN
ap-1648	143	16	.	.	PUNCT
ap-1648	144	1	the	the	DET
ap-1648	144	2	proposed	propose	VERB
ap-1648	144	3	backtracking	backtrack	VERB
ap-1648	144	4	algorithm	algorithm	NOUN
ap-1648	144	5	has	have	AUX
ap-1648	144	6	been	be	AUX
ap-1648	144	7	tested	test	VERB
ap-1648	144	8	in	in	ADP
ap-1648	144	9	the	the	DET
ap-1648	144	10	arizona	arizona	PROPN
ap-1648	144	11	desert	desert	PROPN
ap-1648	144	12	with	with	ADP
ap-1648	144	13	a	a	DET
ap-1648	144	14	real	real	ADJ
ap-1648	144	15	sat	sit	VERB
ap-1648	144	16	system	system	NOUN
ap-1648	144	17	.	.	PUNCT
ap-1648	145	1	the	the	DET
ap-1648	145	2	algorithmic	algorithmic	ADJ
ap-1648	145	3	framework	framework	NOUN
ap-1648	145	4	proved	prove	VERB
ap-1648	145	5	to	to	PART
ap-1648	145	6	be	be	AUX
ap-1648	145	7	exact	exact	ADJ
ap-1648	145	8	at	at	ADP
ap-1648	145	9	centimetre	centimetre	NOUN
ap-1648	145	10	precision	precision	NOUN
ap-1648	145	11	.	.	PUNCT
ap-1648	146	1	meanwhile	meanwhile	ADV
ap-1648	146	2	,	,	PUNCT
ap-1648	146	3	more	more	ADJ
ap-1648	146	4	than	than	ADP
ap-1648	146	5	100mw	100mw	PROPN
ap-1648	146	6	of	of	ADP
ap-1648	146	7	sats	sat	NOUN
ap-1648	146	8	worldwide	worldwide	ADV
ap-1648	146	9	are	be	AUX
ap-1648	146	10	controlled	control	VERB
ap-1648	146	11	using	use	VERB
ap-1648	146	12	the	the	DET
ap-1648	146	13	proposed	propose	VERB
ap-1648	146	14	scheme	scheme	NOUN
ap-1648	146	15	.	.	PUNCT
ap-1648	147	1	5	5	NUM
ap-1648	147	2	results	result	NOUN
ap-1648	147	3	equations	equation	NOUN
ap-1648	147	4	(	(	PUNCT
ap-1648	147	5	20	20	NUM
ap-1648	147	6	)	)	PUNCT
ap-1648	147	7	and	and	CCONJ
ap-1648	147	8	(	(	PUNCT
ap-1648	147	9	11	11	NUM
ap-1648	147	10	)	)	PUNCT
ap-1648	147	11	allow	allow	VERB
ap-1648	147	12	us	we	PRON
ap-1648	147	13	to	to	PART
ap-1648	147	14	find	find	VERB
ap-1648	147	15	an	an	DET
ap-1648	147	16	optimal	optimal	ADJ
ap-1648	147	17	,	,	PUNCT
ap-1648	147	18	shadow	shadow	NOUN
ap-1648	147	19	-	-	PUNCT
ap-1648	147	20	free	free	ADJ
ap-1648	147	21	operation	operation	NOUN
ap-1648	147	22	angle	angle	NOUN
ap-1648	147	23	for	for	ADP
ap-1648	147	24	sat	sit	VERB
ap-1648	147	25	.	.	PUNCT
ap-1648	148	1	however	however	ADV
ap-1648	148	2	,	,	PUNCT
ap-1648	148	3	the	the	DET
ap-1648	148	4	exact	exact	ADJ
ap-1648	148	5	position	position	NOUN
ap-1648	148	6	of	of	ADP
ap-1648	148	7	the	the	DET
ap-1648	148	8	sun	sun	NOUN
ap-1648	148	9	is	be	AUX
ap-1648	148	10	needed	need	VERB
ap-1648	148	11	for	for	ADP
ap-1648	148	12	a	a	DET
ap-1648	148	13	given	give	VERB
ap-1648	148	14	time	time	NOUN
ap-1648	148	15	and	and	CCONJ
ap-1648	148	16	location	location	NOUN
ap-1648	148	17	.	.	PUNCT
ap-1648	149	1	for	for	ADP
ap-1648	149	2	this	this	DET
ap-1648	149	3	purpose	purpose	NOUN
ap-1648	149	4	,	,	PUNCT
ap-1648	149	5	our	our	PRON
ap-1648	149	6	paper	paper	NOUN
ap-1648	149	7	uses	use	VERB
ap-1648	149	8	the	the	DET
ap-1648	149	9	90	90	NUM
ap-1648	149	10	acta	acta	PROPN
ap-1648	149	11	polytechnica	polytechnica	PROPN
ap-1648	149	12	vol	vol	NOUN
ap-1648	149	13	.	.	PUNCT
ap-1648	150	1	52	52	NUM
ap-1648	150	2	no	no	NOUN
ap-1648	150	3	.	.	PUNCT
ap-1648	151	1	5/2012	5/2012	NUM
ap-1648	151	2	10	10	NUM
ap-1648	151	3	20	20	NUM
ap-1648	151	4	30	30	NUM
ap-1648	151	5	40	40	NUM
ap-1648	151	6	50	50	NUM
ap-1648	151	7	60	60	NUM
ap-1648	151	8	70	70	NUM
ap-1648	151	9	80	80	NUM
ap-1648	151	10	90	90	NUM
ap-1648	151	11	0	0	NUM
ap-1648	151	12	5	5	NUM
ap-1648	151	13	10	10	NUM
ap-1648	151	14	15	15	NUM
ap-1648	151	15	20	20	NUM
ap-1648	151	16	25	25	NUM
ap-1648	151	17	30	30	NUM
ap-1648	151	18	35	35	NUM
ap-1648	151	19	40	40	NUM
ap-1648	151	20	45	45	NUM
ap-1648	151	21	latitude[˚	latitude[˚	ADJ
ap-1648	151	22	]	]	X
ap-1648	151	23	ex	ex	X
ap-1648	151	24	tr	tr	VERB
ap-1648	151	25	a	a	DET
ap-1648	151	26	yi	yi	NOUN
ap-1648	152	1	el	el	PROPN
ap-1648	152	2	d	d	PROPN
ap-1648	153	1	[	[	X
ap-1648	153	2	%	%	X
ap-1648	153	3	]	]	X
ap-1648	153	4	figure	figure	NOUN
ap-1648	153	5	7	7	NUM
ap-1648	153	6	:	:	PUNCT
ap-1648	153	7	averaged	average	VERB
ap-1648	153	8	,	,	PUNCT
ap-1648	153	9	annual	annual	ADJ
ap-1648	153	10	extra	extra	ADJ
ap-1648	153	11	yield	yield	NOUN
ap-1648	153	12	of	of	ADP
ap-1648	153	13	sat	sit	VERB
ap-1648	153	14	compared	compare	VERB
ap-1648	153	15	to	to	ADP
ap-1648	153	16	an	an	DET
ap-1648	153	17	optimally	optimally	ADV
ap-1648	153	18	aligned	align	VERB
ap-1648	153	19	fixed	fix	VERB
ap-1648	153	20	-	-	PUNCT
ap-1648	153	21	tilt	tilt	NOUN
ap-1648	153	22	superstructure	superstructure	NOUN
ap-1648	153	23	in	in	ADP
ap-1648	153	24	dependence	dependence	NOUN
ap-1648	153	25	on	on	ADP
ap-1648	153	26	latitude	latitude	NOUN
ap-1648	153	27	.	.	PUNCT
ap-1648	154	1	sun	sun	NOUN
ap-1648	154	2	position	position	NOUN
ap-1648	154	3	algorithm	algorithm	NOUN
ap-1648	154	4	proposed	propose	VERB
ap-1648	154	5	in	in	ADP
ap-1648	154	6	[	[	X
ap-1648	154	7	10	10	NUM
ap-1648	154	8	]	]	PUNCT
ap-1648	154	9	,	,	PUNCT
ap-1648	154	10	which	which	PRON
ap-1648	154	11	allows	allow	VERB
ap-1648	154	12	us	we	PRON
ap-1648	154	13	to	to	PART
ap-1648	154	14	determine	determine	VERB
ap-1648	154	15	the	the	DET
ap-1648	154	16	sun	sun	NOUN
ap-1648	154	17	azimuth	azimuth	NOUN
ap-1648	154	18	and	and	CCONJ
ap-1648	154	19	elevation	elevation	NOUN
ap-1648	154	20	with	with	ADP
ap-1648	154	21	accuracy	accuracy	NOUN
ap-1648	154	22	of	of	ADP
ap-1648	154	23	±0.0003	±0.0003	NOUN
ap-1648	154	24	°	°	NOUN
ap-1648	154	25	,	,	PUNCT
ap-1648	154	26	without	without	ADP
ap-1648	154	27	the	the	DET
ap-1648	154	28	need	need	NOUN
ap-1648	154	29	for	for	ADP
ap-1648	154	30	any	any	DET
ap-1648	154	31	additional	additional	ADJ
ap-1648	154	32	sensors	sensor	NOUN
ap-1648	154	33	or	or	CCONJ
ap-1648	154	34	hardware	hardware	NOUN
ap-1648	154	35	.	.	PUNCT
ap-1648	155	1	in	in	ADP
ap-1648	155	2	fact	fact	NOUN
ap-1648	155	3	,	,	PUNCT
ap-1648	155	4	the	the	DET
ap-1648	155	5	sun	sun	NOUN
ap-1648	155	6	position	position	NOUN
ap-1648	155	7	algorithm	algorithm	NOUN
ap-1648	155	8	can	can	AUX
ap-1648	155	9	run	run	VERB
ap-1648	155	10	on	on	ADP
ap-1648	155	11	the	the	DET
ap-1648	155	12	same	same	ADJ
ap-1648	155	13	controller	controller	NOUN
ap-1648	155	14	as	as	ADP
ap-1648	155	15	the	the	DET
ap-1648	155	16	tracking	tracking	NOUN
ap-1648	155	17	control	control	NOUN
ap-1648	155	18	,	,	PUNCT
ap-1648	155	19	which	which	PRON
ap-1648	155	20	is	be	AUX
ap-1648	155	21	beneficial	beneficial	ADJ
ap-1648	155	22	in	in	ADP
ap-1648	155	23	terms	term	NOUN
ap-1648	155	24	of	of	ADP
ap-1648	155	25	costs	cost	NOUN
ap-1648	155	26	and	and	CCONJ
ap-1648	155	27	installation	installation	NOUN
ap-1648	155	28	complexity	complexity	NOUN
ap-1648	155	29	.	.	PUNCT
ap-1648	156	1	fig	fig	NOUN
ap-1648	156	2	.	.	PUNCT
ap-1648	157	1	5	5	NUM
ap-1648	157	2	shows	show	VERB
ap-1648	157	3	a	a	DET
ap-1648	157	4	simulation	simulation	NOUN
ap-1648	157	5	of	of	ADP
ap-1648	157	6	the	the	DET
ap-1648	157	7	sat	sit	VERB
ap-1648	157	8	behaviour	behaviour	NOUN
ap-1648	157	9	during	during	ADP
ap-1648	157	10	one	one	NUM
ap-1648	157	11	day	day	NOUN
ap-1648	157	12	in	in	ADP
ap-1648	157	13	january	january	PROPN
ap-1648	157	14	for	for	ADP
ap-1648	157	15	the	the	DET
ap-1648	157	16	location	location	NOUN
ap-1648	157	17	in	in	ADP
ap-1648	157	18	berlin	berlin	PROPN
ap-1648	157	19	,	,	PUNCT
ap-1648	157	20	germany	germany	PROPN
ap-1648	157	21	.	.	PUNCT
ap-1648	158	1	the	the	DET
ap-1648	158	2	shadow	shadow	NOUN
ap-1648	158	3	-	-	PUNCT
ap-1648	158	4	free	free	ADJ
ap-1648	158	5	angle	angle	NOUN
ap-1648	158	6	of	of	ADP
ap-1648	158	7	operation	operation	NOUN
ap-1648	158	8	αsf	αsf	NOUN
ap-1648	158	9	and	and	CCONJ
ap-1648	158	10	the	the	DET
ap-1648	158	11	optimal	optimal	ADJ
ap-1648	158	12	angle	angle	NOUN
ap-1648	158	13	α	α	NOUN
ap-1648	158	14	are	be	AUX
ap-1648	158	15	plotted	plot	VERB
ap-1648	158	16	against	against	ADP
ap-1648	158	17	time	time	NOUN
ap-1648	158	18	.	.	PUNCT
ap-1648	159	1	additionally	additionally	ADV
ap-1648	159	2	,	,	PUNCT
ap-1648	159	3	the	the	DET
ap-1648	159	4	sun	sun	NOUN
ap-1648	159	5	azimuth	azimuth	NOUN
ap-1648	159	6	and	and	CCONJ
ap-1648	159	7	elevation	elevation	NOUN
ap-1648	159	8	are	be	AUX
ap-1648	159	9	shown	show	VERB
ap-1648	159	10	.	.	PUNCT
ap-1648	160	1	the	the	DET
ap-1648	160	2	angle	angle	NOUN
ap-1648	160	3	αsf	αsf	NOUN
ap-1648	160	4	is	be	AUX
ap-1648	160	5	limited	limit	VERB
ap-1648	160	6	to	to	ADP
ap-1648	160	7	a	a	DET
ap-1648	160	8	range	range	NOUN
ap-1648	160	9	of	of	ADP
ap-1648	160	10	[	[	X
ap-1648	160	11	−45	−45	ADP
ap-1648	160	12	°	°	NUM
ap-1648	160	13	,	,	PUNCT
ap-1648	160	14	45	45	NUM
ap-1648	160	15	°	°	NOUN
ap-1648	160	16	]	]	PUNCT
ap-1648	160	17	,	,	PUNCT
ap-1648	160	18	due	due	ADP
ap-1648	160	19	to	to	ADP
ap-1648	160	20	mechanical	mechanical	ADJ
ap-1648	160	21	limitations	limitation	NOUN
ap-1648	160	22	that	that	PRON
ap-1648	160	23	apply	apply	VERB
ap-1648	160	24	to	to	ADP
ap-1648	160	25	real	real	ADJ
ap-1648	160	26	-	-	PUNCT
ap-1648	160	27	world	world	NOUN
ap-1648	160	28	structures	structure	NOUN
ap-1648	160	29	.	.	PUNCT
ap-1648	161	1	as	as	ADP
ap-1648	161	2	a	a	DET
ap-1648	161	3	matter	matter	NOUN
ap-1648	161	4	of	of	ADP
ap-1648	161	5	fact	fact	NOUN
ap-1648	161	6	,	,	PUNCT
ap-1648	161	7	all	all	DET
ap-1648	161	8	sats	sat	NOUN
ap-1648	161	9	are	be	AUX
ap-1648	161	10	provided	provide	VERB
ap-1648	161	11	with	with	ADP
ap-1648	161	12	a	a	DET
ap-1648	161	13	rotation	rotation	NOUN
ap-1648	161	14	limit	limit	NOUN
ap-1648	161	15	,	,	PUNCT
ap-1648	161	16	which	which	PRON
ap-1648	161	17	may	may	AUX
ap-1648	161	18	vary	vary	VERB
ap-1648	161	19	between	between	ADP
ap-1648	161	20	45	45	NUM
ap-1648	161	21	°	°	NUM
ap-1648	161	22	and	and	CCONJ
ap-1648	161	23	60	60	NUM
ap-1648	161	24	°	°	NUM
ap-1648	161	25	,	,	PUNCT
ap-1648	161	26	depending	depend	VERB
ap-1648	161	27	on	on	ADP
ap-1648	161	28	the	the	DET
ap-1648	161	29	design	design	NOUN
ap-1648	161	30	.	.	PUNCT
ap-1648	162	1	the	the	DET
ap-1648	162	2	system	system	NOUN
ap-1648	162	3	switches	switch	VERB
ap-1648	162	4	to	to	ADP
ap-1648	162	5	backtracking	backtrack	VERB
ap-1648	162	6	as	as	ADV
ap-1648	162	7	soon	soon	ADV
ap-1648	162	8	as	as	SCONJ
ap-1648	162	9	the	the	DET
ap-1648	162	10	sun	sun	NOUN
ap-1648	162	11	rises	rise	VERB
ap-1648	162	12	,	,	PUNCT
ap-1648	162	13	and	and	CCONJ
ap-1648	162	14	continues	continue	VERB
ap-1648	162	15	shadow	shadow	NOUN
ap-1648	162	16	-	-	PUNCT
ap-1648	162	17	free	free	ADJ
ap-1648	162	18	tracking	tracking	NOUN
ap-1648	162	19	until	until	ADP
ap-1648	162	20	about	about	ADV
ap-1648	162	21	10	10	NUM
ap-1648	162	22	am	am	NOUN
ap-1648	162	23	.	.	PUNCT
ap-1648	163	1	afterwards	afterwards	ADV
ap-1648	163	2	there	there	PRON
ap-1648	163	3	is	be	VERB
ap-1648	163	4	no	no	ADV
ap-1648	163	5	longer	long	ADV
ap-1648	163	6	any	any	DET
ap-1648	163	7	shading	shading	NOUN
ap-1648	163	8	,	,	PUNCT
ap-1648	163	9	and	and	CCONJ
ap-1648	163	10	the	the	DET
ap-1648	163	11	system	system	NOUN
ap-1648	163	12	’s	’s	PART
ap-1648	163	13	angle	angle	NOUN
ap-1648	163	14	of	of	ADP
ap-1648	163	15	operation	operation	NOUN
ap-1648	163	16	corresponds	correspond	VERB
ap-1648	163	17	to	to	ADP
ap-1648	163	18	the	the	DET
ap-1648	163	19	optimal	optimal	ADJ
ap-1648	163	20	angle	angle	NOUN
ap-1648	163	21	until	until	ADP
ap-1648	163	22	about	about	ADV
ap-1648	163	23	2.30	2.30	NUM
ap-1648	163	24	pm	pm	NOUN
ap-1648	163	25	,	,	PUNCT
ap-1648	163	26	when	when	SCONJ
ap-1648	163	27	the	the	DET
ap-1648	163	28	sun	sun	NOUN
ap-1648	163	29	elevation	elevation	NOUN
ap-1648	163	30	has	have	AUX
ap-1648	163	31	declined	decline	VERB
ap-1648	163	32	enough	enough	ADV
ap-1648	163	33	to	to	PART
ap-1648	163	34	cause	cause	VERB
ap-1648	163	35	shading	shade	VERB
ap-1648	163	36	again	again	ADV
ap-1648	163	37	.	.	PUNCT
ap-1648	164	1	the	the	DET
ap-1648	164	2	results	result	NOUN
ap-1648	164	3	were	be	AUX
ap-1648	164	4	further	far	ADV
ap-1648	164	5	used	use	VERB
ap-1648	164	6	to	to	PART
ap-1648	164	7	simulate	simulate	VERB
ap-1648	164	8	the	the	DET
ap-1648	164	9	relative	relative	ADJ
ap-1648	164	10	extra	extra	ADJ
ap-1648	164	11	yield	yield	NOUN
ap-1648	164	12	of	of	ADP
ap-1648	164	13	sat	sit	VERB
ap-1648	164	14	compared	compare	VERB
ap-1648	164	15	to	to	ADP
ap-1648	164	16	an	an	DET
ap-1648	164	17	optimally	optimally	ADV
ap-1648	164	18	aligned	align	VERB
ap-1648	164	19	fixed	fix	VERB
ap-1648	164	20	-	-	PUNCT
ap-1648	164	21	tilt	tilt	NOUN
ap-1648	164	22	superstructure	superstructure	NOUN
ap-1648	164	23	at	at	ADP
ap-1648	164	24	the	the	DET
ap-1648	164	25	same	same	ADJ
ap-1648	164	26	location	location	NOUN
ap-1648	164	27	,	,	PUNCT
ap-1648	165	1	cf	cf	NOUN
ap-1648	165	2	.	.	PUNCT
ap-1648	165	3	fig	fig	NOUN
ap-1648	165	4	.	.	PUNCT
ap-1648	166	1	6	6	NUM
ap-1648	166	2	.	.	PUNCT
ap-1648	167	1	the	the	DET
ap-1648	167	2	results	result	NOUN
ap-1648	167	3	shown	show	VERB
ap-1648	167	4	here	here	ADV
ap-1648	167	5	are	be	AUX
ap-1648	167	6	normed	norme	VERB
ap-1648	167	7	to	to	ADP
ap-1648	167	8	the	the	DET
ap-1648	167	9	maximal	maximal	ADJ
ap-1648	167	10	achievable	achievable	ADJ
ap-1648	167	11	yield	yield	NOUN
ap-1648	167	12	.	.	PUNCT
ap-1648	168	1	it	it	PRON
ap-1648	168	2	can	can	AUX
ap-1648	168	3	be	be	AUX
ap-1648	168	4	seen	see	VERB
ap-1648	168	5	that	that	PRON
ap-1648	168	6	sat	sat	AUX
ap-1648	168	7	clearly	clearly	ADV
ap-1648	168	8	outperforms	outperform	VERB
ap-1648	168	9	the	the	DET
ap-1648	168	10	fixed	fix	VERB
ap-1648	168	11	-	-	PUNCT
ap-1648	168	12	tilt	tilt	NOUN
ap-1648	168	13	installation	installation	NOUN
ap-1648	168	14	in	in	ADP
ap-1648	168	15	the	the	DET
ap-1648	168	16	summer	summer	NOUN
ap-1648	168	17	months	month	NOUN
ap-1648	168	18	,	,	PUNCT
ap-1648	168	19	when	when	SCONJ
ap-1648	168	20	the	the	DET
ap-1648	168	21	sun	sun	NOUN
ap-1648	168	22	stands	stand	VERB
ap-1648	168	23	high	high	ADJ
ap-1648	168	24	in	in	ADP
ap-1648	168	25	the	the	DET
ap-1648	168	26	sky	sky	NOUN
ap-1648	168	27	and	and	CCONJ
ap-1648	168	28	the	the	DET
ap-1648	168	29	days	day	NOUN
ap-1648	168	30	are	be	AUX
ap-1648	168	31	long	long	ADJ
ap-1648	168	32	.	.	PUNCT
ap-1648	169	1	in	in	ADP
ap-1648	169	2	the	the	DET
ap-1648	169	3	winter	winter	NOUN
ap-1648	169	4	months	month	NOUN
ap-1648	169	5	,	,	PUNCT
ap-1648	169	6	the	the	DET
ap-1648	169	7	fixed	fix	VERB
ap-1648	169	8	-	-	PUNCT
ap-1648	169	9	tilt	tilt	NOUN
ap-1648	169	10	installation	installation	NOUN
ap-1648	169	11	performs	perform	VERB
ap-1648	169	12	better	well	ADV
ap-1648	169	13	because	because	SCONJ
ap-1648	169	14	the	the	DET
ap-1648	169	15	sun	sun	NOUN
ap-1648	169	16	stands	stand	VERB
ap-1648	169	17	low	low	ADJ
ap-1648	169	18	in	in	ADP
ap-1648	169	19	the	the	DET
ap-1648	169	20	sky	sky	NOUN
ap-1648	169	21	,	,	PUNCT
ap-1648	169	22	shadows	shadow	NOUN
ap-1648	169	23	are	be	AUX
ap-1648	169	24	more	more	ADV
ap-1648	169	25	likely	likely	ADJ
ap-1648	169	26	and	and	CCONJ
ap-1648	169	27	the	the	DET
ap-1648	169	28	sat	sit	VERB
ap-1648	169	29	system	system	NOUN
ap-1648	169	30	often	often	ADV
ap-1648	169	31	switches	switch	VERB
ap-1648	169	32	to	to	ADP
ap-1648	169	33	backtracking	backtrack	VERB
ap-1648	169	34	,	,	PUNCT
ap-1648	169	35	hence	hence	ADV
ap-1648	169	36	missing	miss	VERB
ap-1648	169	37	the	the	DET
ap-1648	169	38	optimal	optimal	ADJ
ap-1648	169	39	alignment	alignment	NOUN
ap-1648	169	40	to	to	ADP
ap-1648	169	41	the	the	DET
ap-1648	169	42	sun	sun	NOUN
ap-1648	169	43	.	.	PUNCT
ap-1648	170	1	however	however	ADV
ap-1648	170	2	,	,	PUNCT
ap-1648	170	3	the	the	DET
ap-1648	170	4	results	result	NOUN
ap-1648	170	5	are	be	AUX
ap-1648	170	6	relative	relative	ADJ
ap-1648	170	7	to	to	ADP
ap-1648	170	8	the	the	DET
ap-1648	170	9	maximal	maximal	ADJ
ap-1648	170	10	achievable	achievable	ADJ
ap-1648	170	11	yield	yield	NOUN
ap-1648	170	12	and	and	CCONJ
ap-1648	170	13	have	have	VERB
ap-1648	170	14	no	no	DET
ap-1648	170	15	information	information	NOUN
ap-1648	170	16	about	about	ADP
ap-1648	170	17	the	the	DET
ap-1648	170	18	absolute	absolute	ADJ
ap-1648	170	19	annual	annual	ADJ
ap-1648	170	20	extra	extra	ADJ
ap-1648	170	21	yield	yield	NOUN
ap-1648	170	22	.	.	PUNCT
ap-1648	171	1	fig	fig	NOUN
ap-1648	171	2	.	.	PUNCT
ap-1648	172	1	7	7	NUM
ap-1648	172	2	shows	show	VERB
ap-1648	172	3	the	the	DET
ap-1648	172	4	simulation	simulation	NOUN
ap-1648	172	5	results	result	VERB
ap-1648	172	6	for	for	ADP
ap-1648	172	7	the	the	DET
ap-1648	172	8	total	total	ADJ
ap-1648	172	9	,	,	PUNCT
ap-1648	172	10	absolute	absolute	ADJ
ap-1648	172	11	extra	extra	ADJ
ap-1648	172	12	yield	yield	NOUN
ap-1648	172	13	of	of	ADP
ap-1648	172	14	sat	sit	VERB
ap-1648	172	15	compared	compare	VERB
ap-1648	172	16	to	to	ADP
ap-1648	172	17	an	an	DET
ap-1648	172	18	optimally	optimally	ADV
ap-1648	172	19	aligned	align	VERB
ap-1648	172	20	fixed	fix	VERB
ap-1648	172	21	-	-	PUNCT
ap-1648	172	22	tilt	tilt	NOUN
ap-1648	172	23	installation	installation	NOUN
ap-1648	172	24	.	.	PUNCT
ap-1648	173	1	the	the	DET
ap-1648	173	2	plot	plot	NOUN
ap-1648	173	3	shows	show	VERB
ap-1648	173	4	the	the	DET
ap-1648	173	5	extra	extra	ADJ
ap-1648	173	6	yield	yield	NOUN
ap-1648	173	7	plotted	plot	VERB
ap-1648	173	8	against	against	ADP
ap-1648	173	9	the	the	DET
ap-1648	173	10	latitude	latitude	NOUN
ap-1648	173	11	.	.	PUNCT
ap-1648	174	1	the	the	DET
ap-1648	174	2	clear	clear	ADJ
ap-1648	174	3	-	-	PUNCT
ap-1648	174	4	sky	sky	NOUN
ap-1648	174	5	insolation	insolation	NOUN
ap-1648	174	6	model	model	NOUN
ap-1648	174	7	proposed	propose	VERB
ap-1648	174	8	in	in	ADP
ap-1648	174	9	[	[	X
ap-1648	174	10	3	3	X
ap-1648	174	11	]	]	PUNCT
ap-1648	174	12	has	have	AUX
ap-1648	174	13	been	be	AUX
ap-1648	174	14	used	use	VERB
ap-1648	174	15	for	for	ADP
ap-1648	174	16	this	this	DET
ap-1648	174	17	purpose	purpose	NOUN
ap-1648	174	18	.	.	PUNCT
ap-1648	175	1	it	it	PRON
ap-1648	175	2	is	be	AUX
ap-1648	175	3	interesting	interesting	ADJ
ap-1648	175	4	to	to	PART
ap-1648	175	5	see	see	VERB
ap-1648	175	6	how	how	SCONJ
ap-1648	175	7	minimal	minimal	ADJ
ap-1648	175	8	gain	gain	NOUN
ap-1648	175	9	can	can	AUX
ap-1648	175	10	be	be	AUX
ap-1648	175	11	achieved	achieve	VERB
ap-1648	175	12	for	for	ADP
ap-1648	175	13	latitudes	latitude	NOUN
ap-1648	175	14	of	of	ADP
ap-1648	175	15	around	around	ADP
ap-1648	175	16	50	50	NUM
ap-1648	175	17	°	°	NOUN
ap-1648	175	18	to	to	PART
ap-1648	175	19	60	60	NUM
ap-1648	175	20	°	°	NOUN
ap-1648	175	21	,	,	PUNCT
ap-1648	175	22	which	which	PRON
ap-1648	175	23	correspond	correspond	VERB
ap-1648	175	24	to	to	ADP
ap-1648	175	25	central	central	PROPN
ap-1648	175	26	europe	europe	PROPN
ap-1648	175	27	.	.	PUNCT
ap-1648	176	1	here	here	ADV
ap-1648	176	2	,	,	PUNCT
ap-1648	176	3	the	the	DET
ap-1648	176	4	simulation	simulation	NOUN
ap-1648	176	5	predicts	predict	VERB
ap-1648	176	6	an	an	DET
ap-1648	176	7	extra	extra	ADJ
ap-1648	176	8	yield	yield	NOUN
ap-1648	176	9	of	of	ADP
ap-1648	176	10	about	about	ADP
ap-1648	176	11	8–10	8–10	NOUN
ap-1648	176	12	%	%	NOUN
ap-1648	176	13	,	,	PUNCT
ap-1648	176	14	which	which	PRON
ap-1648	176	15	is	be	AUX
ap-1648	176	16	consistent	consistent	ADJ
ap-1648	176	17	with	with	ADP
ap-1648	176	18	the	the	DET
ap-1648	176	19	results	result	NOUN
ap-1648	176	20	found	find	VERB
ap-1648	176	21	by	by	ADP
ap-1648	176	22	other	other	ADJ
ap-1648	176	23	researchers	researcher	NOUN
ap-1648	176	24	[	[	X
ap-1648	176	25	11	11	NUM
ap-1648	176	26	]	]	PUNCT
ap-1648	176	27	.	.	PUNCT
ap-1648	177	1	according	accord	VERB
ap-1648	177	2	to	to	ADP
ap-1648	177	3	fig	fig	NOUN
ap-1648	177	4	.	.	PUNCT
ap-1648	178	1	7	7	NUM
ap-1648	178	2	,	,	PUNCT
ap-1648	178	3	the	the	DET
ap-1648	178	4	usage	usage	NOUN
ap-1648	178	5	of	of	ADP
ap-1648	178	6	a	a	DET
ap-1648	178	7	sat	sit	VERB
ap-1648	178	8	system	system	NOUN
ap-1648	178	9	becomes	become	VERB
ap-1648	178	10	very	very	ADV
ap-1648	178	11	lucrative	lucrative	ADJ
ap-1648	178	12	for	for	ADP
ap-1648	178	13	southern	southern	ADJ
ap-1648	178	14	countries	country	NOUN
ap-1648	178	15	,	,	PUNCT
ap-1648	178	16	where	where	SCONJ
ap-1648	178	17	the	the	DET
ap-1648	178	18	gain	gain	NOUN
ap-1648	178	19	may	may	AUX
ap-1648	178	20	rise	rise	VERB
ap-1648	178	21	up	up	ADV
ap-1648	178	22	to	to	PART
ap-1648	178	23	30	30	NUM
ap-1648	178	24	%	%	NOUN
ap-1648	178	25	.	.	PUNCT
ap-1648	179	1	finally	finally	ADV
ap-1648	179	2	,	,	PUNCT
ap-1648	179	3	the	the	DET
ap-1648	179	4	effect	effect	NOUN
ap-1648	179	5	of	of	ADP
ap-1648	179	6	the	the	DET
ap-1648	179	7	spacing	spacing	NOUN
ap-1648	179	8	d	d	NOUN
ap-1648	179	9	between	between	ADP
ap-1648	179	10	two	two	NUM
ap-1648	179	11	adjacent	adjacent	ADJ
ap-1648	179	12	sats	sat	NOUN
ap-1648	179	13	has	have	AUX
ap-1648	179	14	been	be	AUX
ap-1648	179	15	investigated	investigate	VERB
ap-1648	179	16	in	in	ADP
ap-1648	179	17	this	this	DET
ap-1648	179	18	work	work	NOUN
ap-1648	179	19	.	.	PUNCT
ap-1648	180	1	fig	fig	NOUN
ap-1648	180	2	.	.	PUNCT
ap-1648	181	1	8	8	NUM
ap-1648	181	2	summarizes	summarize	VERB
ap-1648	181	3	the	the	DET
ap-1648	181	4	results	result	NOUN
ap-1648	181	5	.	.	PUNCT
ap-1648	182	1	it	it	PRON
ap-1648	182	2	can	can	AUX
ap-1648	182	3	be	be	AUX
ap-1648	182	4	seen	see	VERB
ap-1648	182	5	that	that	SCONJ
ap-1648	182	6	in	in	ADP
ap-1648	182	7	general	general	ADJ
ap-1648	182	8	the	the	DET
ap-1648	182	9	best	good	ADJ
ap-1648	182	10	distance	distance	NOUN
ap-1648	182	11	in	in	ADP
ap-1648	182	12	terms	term	NOUN
ap-1648	182	13	of	of	ADP
ap-1648	182	14	extra	extra	ADJ
ap-1648	182	15	gain	gain	NOUN
ap-1648	182	16	and	and	CCONJ
ap-1648	182	17	space	space	NOUN
ap-1648	182	18	efficiency	efficiency	NOUN
ap-1648	182	19	can	can	AUX
ap-1648	182	20	be	be	AUX
ap-1648	182	21	achieved	achieve	VERB
ap-1648	182	22	for	for	ADP
ap-1648	182	23	a	a	DET
ap-1648	182	24	distance	distance	NOUN
ap-1648	182	25	of	of	ADP
ap-1648	182	26	about	about	ADV
ap-1648	182	27	12	12	NUM
ap-1648	182	28	meters	meter	NOUN
ap-1648	182	29	,	,	PUNCT
ap-1648	182	30	when	when	SCONJ
ap-1648	182	31	the	the	DET
ap-1648	182	32	slope	slope	NOUN
ap-1648	182	33	of	of	ADP
ap-1648	182	34	the	the	DET
ap-1648	182	35	curve	curve	NOUN
ap-1648	182	36	flattens	flatten	VERB
ap-1648	182	37	out	out	ADP
ap-1648	182	38	.	.	PUNCT
ap-1648	183	1	however	however	ADV
ap-1648	183	2	the	the	DET
ap-1648	183	3	best	good	ADJ
ap-1648	183	4	distance	distance	NOUN
ap-1648	183	5	depends	depend	VERB
ap-1648	183	6	strongly	strongly	ADV
ap-1648	183	7	on	on	ADP
ap-1648	183	8	the	the	DET
ap-1648	183	9	park	park	NOUN
ap-1648	183	10	layout	layout	NOUN
ap-1648	183	11	,	,	PUNCT
ap-1648	183	12	and	and	CCONJ
ap-1648	183	13	generally	generally	ADV
ap-1648	183	14	needs	need	VERB
ap-1648	183	15	to	to	PART
ap-1648	183	16	be	be	AUX
ap-1648	183	17	selected	select	VERB
ap-1648	183	18	individually	individually	ADV
ap-1648	183	19	for	for	ADP
ap-1648	183	20	each	each	DET
ap-1648	183	21	park	park	NOUN
ap-1648	183	22	.	.	PUNCT
ap-1648	184	1	when	when	SCONJ
ap-1648	184	2	dealing	deal	VERB
ap-1648	184	3	with	with	ADP
ap-1648	184	4	diffuse	diffuse	ADJ
ap-1648	184	5	insolation	insolation	NOUN
ap-1648	184	6	(	(	PUNCT
ap-1648	184	7	which	which	PRON
ap-1648	184	8	forms	form	VERB
ap-1648	184	9	a	a	DET
ap-1648	184	10	major	major	ADJ
ap-1648	184	11	part	part	NOUN
ap-1648	184	12	of	of	ADP
ap-1648	184	13	central	central	PROPN
ap-1648	184	14	europe	europe	PROPN
ap-1648	184	15	’s	’s	PART
ap-1648	184	16	insolation	insolation	NOUN
ap-1648	184	17	)	)	PUNCT
ap-1648	184	18	,	,	PUNCT
ap-1648	184	19	a	a	DET
ap-1648	184	20	totally	totally	ADV
ap-1648	184	21	flat	flat	ADJ
ap-1648	184	22	tracker	tracker	NOUN
ap-1648	184	23	would	would	AUX
ap-1648	184	24	be	be	AUX
ap-1648	184	25	the	the	DET
ap-1648	184	26	best	good	ADJ
ap-1648	184	27	operational	operational	ADJ
ap-1648	184	28	position	position	NOUN
ap-1648	184	29	.	.	PUNCT
ap-1648	185	1	theoretically	theoretically	ADV
ap-1648	185	2	,	,	PUNCT
ap-1648	185	3	the	the	DET
ap-1648	185	4	maximum	maximum	ADJ
ap-1648	185	5	amount	amount	NOUN
ap-1648	185	6	of	of	ADP
ap-1648	185	7	light	light	NOUN
ap-1648	185	8	could	could	AUX
ap-1648	185	9	be	be	AUX
ap-1648	185	10	collected	collect	VERB
ap-1648	185	11	in	in	ADP
ap-1648	185	12	this	this	DET
ap-1648	185	13	position	position	NOUN
ap-1648	185	14	.	.	PUNCT
ap-1648	186	1	however	however	ADV
ap-1648	186	2	,	,	PUNCT
ap-1648	186	3	to	to	PART
ap-1648	186	4	detect	detect	VERB
ap-1648	186	5	the	the	DET
ap-1648	186	6	current	current	ADJ
ap-1648	186	7	type	type	NOUN
ap-1648	186	8	of	of	ADP
ap-1648	186	9	insolation	insolation	NOUN
ap-1648	186	10	,	,	PUNCT
ap-1648	186	11	extra	extra	ADJ
ap-1648	186	12	sensors	sensor	NOUN
ap-1648	186	13	are	be	AUX
ap-1648	186	14	required	require	VERB
ap-1648	186	15	.	.	PUNCT
ap-1648	187	1	alternative	alternative	ADJ
ap-1648	187	2	solutions	solution	NOUN
ap-1648	187	3	could	could	AUX
ap-1648	187	4	employ	employ	VERB
ap-1648	187	5	local	local	ADJ
ap-1648	187	6	weather	weather	NOUN
ap-1648	187	7	broadcasts	broadcast	NOUN
ap-1648	187	8	to	to	PART
ap-1648	187	9	adapt	adapt	VERB
ap-1648	187	10	the	the	DET
ap-1648	187	11	tracking	tracking	NOUN
ap-1648	187	12	behaviour	behaviour	NOUN
ap-1648	187	13	in	in	ADP
ap-1648	187	14	order	order	NOUN
ap-1648	187	15	to	to	PART
ap-1648	187	16	avoid	avoid	VERB
ap-1648	187	17	external	external	ADJ
ap-1648	187	18	hardware	hardware	NOUN
ap-1648	187	19	.	.	PUNCT
ap-1648	188	1	6	6	NUM
ap-1648	188	2	conclusions	conclusion	NOUN
ap-1648	188	3	we	we	PRON
ap-1648	188	4	have	have	AUX
ap-1648	188	5	proposed	propose	VERB
ap-1648	188	6	an	an	DET
ap-1648	188	7	algorithmic	algorithmic	ADJ
ap-1648	188	8	framework	framework	NOUN
ap-1648	188	9	for	for	ADP
ap-1648	188	10	controlling	control	VERB
ap-1648	188	11	photovoltaic	photovoltaic	NOUN
ap-1648	188	12	single	single	ADJ
ap-1648	188	13	-	-	PUNCT
ap-1648	188	14	axis	axis	NOUN
ap-1648	188	15	trackers	tracker	NOUN
ap-1648	188	16	using	use	VERB
ap-1648	188	17	back91	back91	PROPN
ap-1648	188	18	acta	acta	PROPN
ap-1648	188	19	polytechnica	polytechnica	PROPN
ap-1648	188	20	vol	vol	NOUN
ap-1648	188	21	.	.	PROPN
ap-1648	189	1	52	52	NUM
ap-1648	189	2	no	no	NOUN
ap-1648	189	3	.	.	PUNCT
ap-1648	190	1	5/2012	5/2012	NUM
ap-1648	190	2	5	5	NUM
ap-1648	190	3	6	6	NUM
ap-1648	190	4	7	7	NUM
ap-1648	190	5	8	8	NUM
ap-1648	190	6	9	9	NUM
ap-1648	190	7	10	10	NUM
ap-1648	190	8	11	11	NUM
ap-1648	190	9	12	12	NUM
ap-1648	190	10	13	13	NUM
ap-1648	190	11	14	14	NUM
ap-1648	190	12	15	15	NUM
ap-1648	190	13	16	16	NUM
ap-1648	190	14	17	17	NUM
ap-1648	190	15	18	18	NUM
ap-1648	190	16	19	19	NUM
ap-1648	190	17	20	20	NUM
ap-1648	190	18	0	0	NUM
ap-1648	190	19	1	1	NUM
ap-1648	190	20	2	2	NUM
ap-1648	190	21	3	3	NUM
ap-1648	190	22	4	4	NUM
ap-1648	190	23	5	5	NUM
ap-1648	190	24	6	6	NUM
ap-1648	190	25	7	7	NUM
ap-1648	190	26	8	8	NUM
ap-1648	190	27	9	9	NUM
ap-1648	190	28	10	10	NUM
ap-1648	190	29	11	11	NUM
ap-1648	190	30	12	12	NUM
ap-1648	190	31	distance	distance	NOUN
ap-1648	190	32	between	between	ADP
ap-1648	190	33	two	two	NUM
ap-1648	190	34	adjacent	adjacent	ADJ
ap-1648	190	35	sats	sat	NOUN
ap-1648	190	36	[	[	X
ap-1648	190	37	m	m	X
ap-1648	190	38	]	]	X
ap-1648	190	39	ga	ga	NOUN
ap-1648	190	40	in	in	ADV
ap-1648	190	41	in	in	ADP
ap-1648	190	42	y	y	PROPN
ap-1648	190	43	ie	ie	X
ap-1648	190	44	ld	ld	PROPN
ap-1648	190	45	[	[	X
ap-1648	190	46	%	%	X
ap-1648	190	47	]	]	X
ap-1648	190	48	figure	figure	NOUN
ap-1648	190	49	8	8	NUM
ap-1648	190	50	:	:	PUNCT
ap-1648	190	51	averaged	average	VERB
ap-1648	190	52	,	,	PUNCT
ap-1648	190	53	annual	annual	ADJ
ap-1648	190	54	extra	extra	ADJ
ap-1648	190	55	yield	yield	NOUN
ap-1648	190	56	of	of	ADP
ap-1648	190	57	a	a	DET
ap-1648	190	58	sat	sat	NOUN
ap-1648	190	59	compared	compare	VERB
ap-1648	190	60	to	to	ADP
ap-1648	190	61	an	an	DET
ap-1648	190	62	optimally	optimally	ADV
ap-1648	190	63	aligned	align	VERB
ap-1648	190	64	fixed	fix	VERB
ap-1648	190	65	-	-	PUNCT
ap-1648	190	66	tilt	tilt	NOUN
ap-1648	190	67	superstructure	superstructure	NOUN
ap-1648	190	68	in	in	ADP
ap-1648	190	69	dependence	dependence	NOUN
ap-1648	190	70	on	on	ADP
ap-1648	190	71	the	the	DET
ap-1648	190	72	distance	distance	NOUN
ap-1648	190	73	d	d	NOUN
ap-1648	190	74	between	between	ADP
ap-1648	190	75	two	two	NUM
ap-1648	190	76	adjacent	adjacent	ADJ
ap-1648	190	77	sat	sit	VERB
ap-1648	190	78	units	unit	NOUN
ap-1648	190	79	.	.	PUNCT
ap-1648	191	1	tracking	track	VERB
ap-1648	191	2	.	.	PUNCT
ap-1648	192	1	the	the	DET
ap-1648	192	2	control	control	NOUN
ap-1648	192	3	schemes	scheme	NOUN
ap-1648	192	4	are	be	AUX
ap-1648	192	5	able	able	ADJ
ap-1648	192	6	to	to	PART
ap-1648	192	7	maximize	maximize	VERB
ap-1648	192	8	the	the	DET
ap-1648	192	9	electrical	electrical	ADJ
ap-1648	192	10	yield	yield	NOUN
ap-1648	192	11	of	of	ADP
ap-1648	192	12	a	a	DET
ap-1648	192	13	sat	sit	VERB
ap-1648	192	14	power	power	NOUN
ap-1648	192	15	plant	plant	NOUN
ap-1648	192	16	by	by	ADP
ap-1648	192	17	finding	find	VERB
ap-1648	192	18	the	the	DET
ap-1648	192	19	best	good	ADJ
ap-1648	192	20	,	,	PUNCT
ap-1648	192	21	i.e.	i.e.	X
ap-1648	192	22	shadow	shadow	NOUN
ap-1648	192	23	-	-	PUNCT
ap-1648	192	24	free	free	ADJ
ap-1648	192	25	,	,	PUNCT
ap-1648	192	26	rotation	rotation	NOUN
ap-1648	192	27	angle	angle	NOUN
ap-1648	192	28	for	for	ADP
ap-1648	192	29	the	the	DET
ap-1648	192	30	tracker	tracker	NOUN
ap-1648	192	31	in	in	ADP
ap-1648	192	32	dependence	dependence	NOUN
ap-1648	192	33	on	on	ADP
ap-1648	192	34	its	its	PRON
ap-1648	192	35	location	location	NOUN
ap-1648	192	36	and	and	CCONJ
ap-1648	192	37	environmental	environmental	ADJ
ap-1648	192	38	settings	setting	NOUN
ap-1648	192	39	.	.	PUNCT
ap-1648	193	1	in	in	ADP
ap-1648	193	2	the	the	DET
ap-1648	193	3	simulation	simulation	NOUN
ap-1648	193	4	,	,	PUNCT
ap-1648	193	5	the	the	DET
ap-1648	193	6	sat	sit	VERB
ap-1648	193	7	yields	yield	NOUN
ap-1648	193	8	have	have	AUX
ap-1648	193	9	been	be	AUX
ap-1648	193	10	compared	compare	VERB
ap-1648	193	11	to	to	ADP
ap-1648	193	12	fixed	fix	VERB
ap-1648	193	13	-	-	PUNCT
ap-1648	193	14	tilt	tilt	NOUN
ap-1648	193	15	yields	yield	NOUN
ap-1648	193	16	,	,	PUNCT
ap-1648	193	17	giving	give	VERB
ap-1648	193	18	an	an	DET
ap-1648	193	19	insight	insight	NOUN
ap-1648	193	20	into	into	ADP
ap-1648	193	21	the	the	DET
ap-1648	193	22	strengths	strength	NOUN
ap-1648	193	23	and	and	CCONJ
ap-1648	193	24	weaknesses	weakness	NOUN
ap-1648	193	25	of	of	ADP
ap-1648	193	26	the	the	DET
ap-1648	193	27	system	system	NOUN
ap-1648	193	28	.	.	PUNCT
ap-1648	194	1	the	the	DET
ap-1648	194	2	proposed	propose	VERB
ap-1648	194	3	control	control	NOUN
ap-1648	194	4	scheme	scheme	NOUN
ap-1648	194	5	has	have	AUX
ap-1648	194	6	been	be	AUX
ap-1648	194	7	field	field	NOUN
ap-1648	194	8	tested	test	VERB
ap-1648	194	9	,	,	PUNCT
ap-1648	194	10	and	and	CCONJ
ap-1648	194	11	is	be	AUX
ap-1648	194	12	in	in	ADP
ap-1648	194	13	use	use	NOUN
ap-1648	194	14	in	in	ADP
ap-1648	194	15	power	power	NOUN
ap-1648	194	16	plants	plant	NOUN
ap-1648	194	17	with	with	ADP
ap-1648	194	18	more	more	ADJ
ap-1648	194	19	than	than	ADP
ap-1648	194	20	100mw	100mw	PROPN
ap-1648	194	21	output	output	NOUN
ap-1648	194	22	worldwide	worldwide	ADV
ap-1648	194	23	.	.	PUNCT
ap-1648	195	1	references	reference	NOUN
ap-1648	195	2	[	[	X
ap-1648	195	3	1	1	NUM
ap-1648	195	4	]	]	PUNCT
ap-1648	195	5	a.	a.	NOUN
ap-1648	195	6	catarius	catarius	NOUN
ap-1648	195	7	,	,	PUNCT
ap-1648	195	8	m.	m.	NOUN
ap-1648	195	9	christiner	christiner	NOUN
ap-1648	195	10	.	.	PUNCT
ap-1648	196	1	azimuth	azimuth	ADJ
ap-1648	196	2	-	-	PUNCT
ap-1648	196	3	altitude	altitude	NOUN
ap-1648	196	4	dual	dual	ADJ
ap-1648	196	5	axis	axis	ADJ
ap-1648	196	6	solar	solar	ADJ
ap-1648	196	7	tracker	tracker	NOUN
ap-1648	196	8	.	.	PUNCT
ap-1648	197	1	bachelor	bachelor	NOUN
ap-1648	197	2	thesis	thesis	PROPN
ap-1648	197	3	,	,	PUNCT
ap-1648	197	4	worcester	worcester	PROPN
ap-1648	197	5	polytechnic	polytechnic	PROPN
ap-1648	197	6	institute	institute	PROPN
ap-1648	197	7	,	,	PUNCT
ap-1648	197	8	2010	2010	NUM
ap-1648	197	9	.	.	PUNCT
ap-1648	198	1	[	[	X
ap-1648	198	2	2	2	X
ap-1648	198	3	]	]	PUNCT
ap-1648	198	4	t.	t.	PROPN
ap-1648	198	5	n.	n.	PROPN
ap-1648	198	6	kathiba	kathiba	PROPN
ap-1648	198	7	,	,	PUNCT
ap-1648	198	8	a.	a.	PROPN
ap-1648	198	9	mohamed	mohamed	PROPN
ap-1648	198	10	,	,	PUNCT
ap-1648	198	11	r.	r.	PROPN
ap-1648	198	12	j.	j.	PROPN
ap-1648	198	13	khan	khan	PROPN
ap-1648	198	14	et	et	PROPN
ap-1648	198	15	al	al	PROPN
ap-1648	198	16	.	.	PUNCT
ap-1648	199	1	a	a	DET
ap-1648	199	2	novel	novel	ADJ
ap-1648	199	3	sun	sun	NOUN
ap-1648	199	4	tracking	tracking	NOUN
ap-1648	199	5	controller	controller	NOUN
ap-1648	199	6	for	for	ADP
ap-1648	199	7	photovoltaic	photovoltaic	NOUN
ap-1648	199	8	panels	panel	NOUN
ap-1648	199	9	.	.	PUNCT
ap-1648	200	1	journal	journal	NOUN
ap-1648	200	2	of	of	ADP
ap-1648	200	3	applied	apply	VERB
ap-1648	200	4	sciences	science	NOUN
ap-1648	200	5	9(22):4050	9(22):4050	NUM
ap-1648	200	6	–	–	PUNCT
ap-1648	200	7	4055	4055	NUM
ap-1648	200	8	,	,	PUNCT
ap-1648	200	9	2009	2009	NUM
ap-1648	200	10	.	.	PUNCT
ap-1648	201	1	[	[	X
ap-1648	201	2	3	3	X
ap-1648	201	3	]	]	X
ap-1648	201	4	b.	b.	PROPN
ap-1648	201	5	keller	keller	PROPN
ap-1648	201	6	,	,	PUNCT
ap-1648	201	7	a.	a.	PROPN
ap-1648	201	8	m.	m.	PROPN
ap-1648	201	9	s.	s.	PROPN
ap-1648	201	10	costa	costa	PROPN
ap-1648	201	11	,	,	PUNCT
ap-1648	201	12	a	a	DET
ap-1648	201	13	matlab	matlab	PROPN
ap-1648	201	14	gui	gui	NOUN
ap-1648	201	15	for	for	ADP
ap-1648	201	16	calculating	calculate	VERB
ap-1648	201	17	the	the	DET
ap-1648	201	18	solar	solar	ADJ
ap-1648	201	19	radiation	radiation	NOUN
ap-1648	201	20	and	and	CCONJ
ap-1648	201	21	shading	shading	NOUN
ap-1648	201	22	of	of	ADP
ap-1648	201	23	surfaces	surface	NOUN
ap-1648	201	24	on	on	ADP
ap-1648	201	25	the	the	DET
ap-1648	201	26	earth	earth	NOUN
ap-1648	201	27	.	.	PUNCT
ap-1648	202	1	computer	computer	NOUN
ap-1648	202	2	applications	application	NOUN
ap-1648	202	3	in	in	ADP
ap-1648	202	4	engineering	engineering	NOUN
ap-1648	202	5	education	education	NOUN
ap-1648	202	6	19(1):161–170	19(1):161–170	PROPN
ap-1648	202	7	,	,	PUNCT
ap-1648	202	8	2009	2009	NUM
ap-1648	202	9	.	.	PUNCT
ap-1648	203	1	[	[	X
ap-1648	203	2	4	4	X
ap-1648	203	3	]	]	X
ap-1648	203	4	d.	d.	PROPN
ap-1648	203	5	l.	l.	PROPN
ap-1648	203	6	king	king	PROPN
ap-1648	203	7	,	,	PUNCT
ap-1648	203	8	w.	w.	PROPN
ap-1648	203	9	e.	e.	PROPN
ap-1648	203	10	boyson	boyson	PROPN
ap-1648	203	11	,	,	PUNCT
ap-1648	203	12	j.	j.	PROPN
ap-1648	203	13	a.	a.	PROPN
ap-1648	203	14	kratochvil	kratochvil	PROPN
ap-1648	203	15	.	.	PUNCT
ap-1648	204	1	analysis	analysis	NOUN
ap-1648	204	2	of	of	ADP
ap-1648	204	3	factors	factor	NOUN
ap-1648	204	4	influencing	influence	VERB
ap-1648	204	5	the	the	DET
ap-1648	204	6	annual	annual	ADJ
ap-1648	204	7	energy	energy	NOUN
ap-1648	204	8	production	production	NOUN
ap-1648	204	9	of	of	ADP
ap-1648	204	10	photovoltaic	photovoltaic	NOUN
ap-1648	204	11	systems	system	NOUN
ap-1648	204	12	.	.	PUNCT
ap-1648	205	1	in	in	ADP
ap-1648	205	2	photovoltaic	photovoltaic	NOUN
ap-1648	205	3	specialists	specialist	NOUN
ap-1648	205	4	conference	conference	NOUN
ap-1648	205	5	,	,	PUNCT
ap-1648	205	6	2003	2003	NUM
ap-1648	205	7	[	[	X
ap-1648	205	8	5	5	X
ap-1648	205	9	]	]	PUNCT
ap-1648	205	10	e.	e.	PROPN
ap-1648	205	11	lorenzo	lorenzo	PROPN
ap-1648	205	12	,	,	PUNCT
ap-1648	205	13	l.	l.	PROPN
ap-1648	205	14	navarte	navarte	PROPN
ap-1648	205	15	,	,	PUNCT
ap-1648	205	16	j.	j.	PROPN
ap-1648	205	17	muoz	muoz	PROPN
ap-1648	205	18	.	.	PUNCT
ap-1648	206	1	tracking	tracking	NOUN
ap-1648	206	2	and	and	CCONJ
ap-1648	206	3	back	back	NOUN
ap-1648	206	4	-	-	PUNCT
ap-1648	206	5	tracking	tracking	NOUN
ap-1648	206	6	.	.	PUNCT
ap-1648	207	1	progress	progress	NOUN
ap-1648	207	2	in	in	ADP
ap-1648	207	3	photovoltaics	photovoltaic	NOUN
ap-1648	207	4	:	:	PUNCT
ap-1648	207	5	research	research	NOUN
ap-1648	207	6	and	and	CCONJ
ap-1648	207	7	applications	application	NOUN
ap-1648	207	8	19:747–753	19:747–753	PROPN
ap-1648	207	9	,	,	PUNCT
ap-1648	207	10	2011	2011	NUM
ap-1648	207	11	.	.	PUNCT
ap-1648	208	1	[	[	X
ap-1648	208	2	6	6	NUM
ap-1648	208	3	]	]	PUNCT
ap-1648	208	4	e.	e.	PROPN
ap-1648	208	5	lorenzo	lorenzo	PROPN
ap-1648	208	6	,	,	PUNCT
ap-1648	208	7	m.	m.	NOUN
ap-1648	208	8	perez	perez	PROPN
ap-1648	208	9	,	,	PUNCT
ap-1648	208	10	a.	a.	NOUN
ap-1648	208	11	ezpeleta	ezpeleta	NOUN
ap-1648	208	12	et	et	PROPN
ap-1648	208	13	al	al	PROPN
ap-1648	208	14	.	.	PUNCT
ap-1648	208	15	design	design	NOUN
ap-1648	208	16	of	of	ADP
ap-1648	208	17	tracking	track	VERB
ap-1648	208	18	photovoltaic	photovoltaic	NOUN
ap-1648	208	19	systems	system	NOUN
ap-1648	208	20	with	with	ADP
ap-1648	208	21	a	a	DET
ap-1648	208	22	single	single	ADJ
ap-1648	208	23	vertical	vertical	ADJ
ap-1648	208	24	axis	axis	NOUN
ap-1648	208	25	.	.	PUNCT
ap-1648	209	1	progress	progress	NOUN
ap-1648	209	2	in	in	ADP
ap-1648	209	3	photovoltaics	photovoltaic	NOUN
ap-1648	209	4	:	:	PUNCT
ap-1648	209	5	research	research	NOUN
ap-1648	209	6	and	and	CCONJ
ap-1648	209	7	applications	application	NOUN
ap-1648	209	8	10	10	NUM
ap-1648	209	9	:	:	PUNCT
ap-1648	209	10	533–543	533–543	NUM
ap-1648	209	11	,	,	PUNCT
ap-1648	209	12	2002	2002	NUM
ap-1648	209	13	.	.	PUNCT
ap-1648	210	1	[	[	X
ap-1648	210	2	7	7	X
ap-1648	210	3	]	]	X
ap-1648	210	4	t.	t.	PROPN
ap-1648	210	5	m.	m.	NOUN
ap-1648	210	6	pavlovic	pavlovic	PROPN
ap-1648	210	7	,	,	PUNCT
ap-1648	210	8	d.	d.	PROPN
ap-1648	210	9	d.	d.	PROPN
ap-1648	210	10	,	,	PUNCT
ap-1648	210	11	milosavljevic	milosavljevic	VERB
ap-1648	210	12	,	,	PUNCT
ap-1648	210	13	a.	a.	PROPN
ap-1648	210	14	r.	r.	PROPN
ap-1648	210	15	radivojevic	radivojevic	PROPN
ap-1648	210	16	et	et	PROPN
ap-1648	210	17	al	al	PROPN
ap-1648	210	18	.	.	PUNCT
ap-1648	211	1	a	a	DET
ap-1648	211	2	comparison	comparison	NOUN
ap-1648	211	3	and	and	CCONJ
ap-1648	211	4	assesment	assesment	NOUN
ap-1648	211	5	of	of	ADP
ap-1648	211	6	electricity	electricity	NOUN
ap-1648	211	7	generation	generation	NOUN
ap-1648	211	8	capacity	capacity	NOUN
ap-1648	211	9	for	for	ADP
ap-1648	211	10	different	different	ADJ
ap-1648	211	11	types	type	NOUN
ap-1648	211	12	of	of	ADP
ap-1648	211	13	photovoltaic	photovoltaic	NOUN
ap-1648	211	14	solar	solar	ADJ
ap-1648	211	15	plants	plant	NOUN
ap-1648	211	16	of	of	ADP
ap-1648	211	17	1	1	NUM
ap-1648	211	18	mw	mw	NOUN
ap-1648	211	19	in	in	ADP
ap-1648	211	20	sokobanja	sokobanja	PROPN
ap-1648	211	21	,	,	PUNCT
ap-1648	211	22	serbia	serbia	PROPN
ap-1648	211	23	.	.	PUNCT
ap-1648	212	1	thermal	thermal	ADJ
ap-1648	212	2	science	science	NOUN
ap-1648	212	3	15:605	15:605	NUM
ap-1648	212	4	–	–	PUNCT
ap-1648	212	5	618	618	NUM
ap-1648	212	6	,	,	PUNCT
ap-1648	212	7	2011	2011	NUM
ap-1648	212	8	.	.	PUNCT
ap-1648	213	1	[	[	X
ap-1648	213	2	8	8	X
ap-1648	213	3	]	]	PUNCT
ap-1648	213	4	t.	t.	PROPN
ap-1648	213	5	peterson	peterson	PROPN
ap-1648	213	6	,	,	PUNCT
ap-1648	213	7	j.	j.	PROPN
ap-1648	213	8	rice	rice	PROPN
ap-1648	213	9	,	,	PUNCT
ap-1648	213	10	j.	j.	PROPN
ap-1648	213	11	valentin	valentin	PROPN
ap-1648	213	12	.	.	PUNCT
ap-1648	214	1	solar	solar	ADJ
ap-1648	214	2	tracker	tracker	PROPN
ap-1648	214	3	.	.	PUNCT
ap-1648	215	1	final	final	ADJ
ap-1648	215	2	project	project	NOUN
ap-1648	215	3	report	report	NOUN
ap-1648	215	4	,	,	PUNCT
ap-1648	215	5	cornell	cornell	PROPN
ap-1648	215	6	university	university	PROPN
ap-1648	215	7	,	,	PUNCT
ap-1648	215	8	2005	2005	NUM
ap-1648	215	9	.	.	PUNCT
ap-1648	216	1	[	[	X
ap-1648	216	2	9	9	NUM
ap-1648	216	3	]	]	PUNCT
ap-1648	216	4	s.	s.	PROPN
ap-1648	216	5	seme	seme	PROPN
ap-1648	216	6	,	,	PUNCT
ap-1648	216	7	g.	g.	PROPN
ap-1648	216	8	stumberger	stumberger	PROPN
ap-1648	216	9	,	,	PUNCT
ap-1648	216	10	j.	j.	PROPN
ap-1648	216	11	vorsic	vorsic	PROPN
ap-1648	216	12	.	.	PUNCT
ap-1648	217	1	maximum	maximum	ADJ
ap-1648	217	2	efficiency	efficiency	NOUN
ap-1648	217	3	trajectories	trajectory	NOUN
ap-1648	217	4	of	of	ADP
ap-1648	217	5	a	a	DET
ap-1648	217	6	two	two	NUM
ap-1648	217	7	-	-	PUNCT
ap-1648	217	8	axis	axis	NOUN
ap-1648	217	9	sun	sun	NOUN
ap-1648	217	10	tracking	tracking	NOUN
ap-1648	217	11	system	system	NOUN
ap-1648	217	12	determined	determine	VERB
ap-1648	217	13	considering	consider	VERB
ap-1648	217	14	tracking	track	VERB
ap-1648	217	15	system	system	NOUN
ap-1648	217	16	consumption	consumption	NOUN
ap-1648	217	17	.	.	PUNCT
ap-1648	218	1	ieee	ieee	NOUN
ap-1648	218	2	transactions	transaction	NOUN
ap-1648	218	3	on	on	ADP
ap-1648	218	4	power	power	NOUN
ap-1648	218	5	electronics	electronic	NOUN
ap-1648	218	6	26:1280–1290	26:1280–1290	NUM
ap-1648	218	7	,	,	PUNCT
ap-1648	218	8	2011	2011	NUM
ap-1648	218	9	.	.	PUNCT
ap-1648	219	1	[	[	X
ap-1648	219	2	10	10	NUM
ap-1648	219	3	]	]	X
ap-1648	219	4	i.	i.	PROPN
ap-1648	219	5	reda	reda	PROPN
ap-1648	219	6	,	,	PUNCT
ap-1648	219	7	a	a	DET
ap-1648	219	8	andreas	andreas	NOUN
ap-1648	219	9	.	.	PUNCT
ap-1648	220	1	solar	solar	ADJ
ap-1648	220	2	position	position	NOUN
ap-1648	220	3	algorithm	algorithm	NOUN
ap-1648	220	4	for	for	ADP
ap-1648	220	5	solar	solar	ADJ
ap-1648	220	6	radiation	radiation	NOUN
ap-1648	220	7	applications	application	NOUN
ap-1648	220	8	solar	solar	ADJ
ap-1648	220	9	energy	energy	NOUN
ap-1648	220	10	7(5):577–589	7(5):577–589	NOUN
ap-1648	220	11	,	,	PUNCT
ap-1648	220	12	2004	2004	NUM
ap-1648	220	13	.	.	PUNCT
ap-1648	221	1	[	[	X
ap-1648	221	2	11	11	NUM
ap-1648	221	3	]	]	PUNCT
ap-1648	221	4	p.	p.	NOUN
ap-1648	221	5	vanicek	vanicek	PROPN
ap-1648	221	6	,	,	PUNCT
ap-1648	221	7	s.	s.	PROPN
ap-1648	221	8	stein	stein	PROPN
ap-1648	221	9	.	.	PUNCT
ap-1648	222	1	simulation	simulation	NOUN
ap-1648	222	2	of	of	ADP
ap-1648	222	3	the	the	DET
ap-1648	222	4	impact	impact	NOUN
ap-1648	222	5	of	of	ADP
ap-1648	222	6	diffuse	diffuse	NOUN
ap-1648	222	7	shading	shade	VERB
ap-1648	222	8	on	on	ADP
ap-1648	222	9	the	the	DET
ap-1648	222	10	yields	yield	NOUN
ap-1648	222	11	of	of	ADP
ap-1648	222	12	large	large	ADJ
ap-1648	222	13	single	single	ADJ
ap-1648	222	14	-	-	PUNCT
ap-1648	222	15	axis	axis	NOUN
ap-1648	222	16	tracked	track	VERB
ap-1648	222	17	pv	pv	NOUN
ap-1648	222	18	plants	plant	NOUN
ap-1648	222	19	.	.	PUNCT
ap-1648	223	1	technical	technical	ADJ
ap-1648	223	2	report	report	NOUN
ap-1648	223	3	,	,	PUNCT
ap-1648	223	4	deutsche	deutsche	PROPN
ap-1648	223	5	gesellschaft	gesellschaft	PROPN
ap-1648	223	6	fuer	fuer	PROPN
ap-1648	223	7	sonnenenergie	sonnenenergie	VERB
ap-1648	223	8	lv	lv	PROPN
ap-1648	223	9	berlin	berlin	PROPN
ap-1648	223	10	brandenburg	brandenburg	PROPN
ap-1648	223	11	e.v	e.v	PROPN
ap-1648	223	12	.	.	PROPN
ap-1648	223	13	,	,	PUNCT
ap-1648	223	14	2009	2009	NUM
ap-1648	223	15	.	.	PUNCT
ap-1648	224	1	92	92	NUM