3 Geometria Terra Sol 2017 2

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Tópico III
CCA 035 - Meteorologia e Climatologia Agrícola
Prof. Aureo Oliveira
Aspectos da Geometria Terra-Sol
Aspectos da Geometria Terra-Sol
Introdução
Translação e distância relativa Terra-Sol 
Rotação e inclinação do eixo terrestre
Coordenadas geográficas
Marcha anual das estações
Coordenadas celestes: SECC e SHCC
Fotoperíodo
Conclusões
Referências
 Desenvolvimento:
Aspectos da Geometria Terra-Sol
Introdução
Translação e distância relativa Terra-Sol 
Rotação e inclinação do eixo terrestre
Coordenadas geográficas
Marcha anual das estações
Coordenadas celestes: SECC e SHCC
Fotoperíodo
Conclusões
Referências
(2) Denomina-se translação ao movimento da Terra em torno do Sol. Tempo cronológico para uma translação = 365 dias 6 horas (1 ano). 
(1) O Sol é o centro do sistema solar. Usina de força que produz energia através da fusão de dois átomos de hidrogênio (H) num átomo de hélio (He). Nesse processo massa (m) é convertida em energia (E), segundo a equação [E = m·c2]
Geometria Terra-Sol: Movimento de translação
Plano da eclíptica
Afélio
Periélio
Sol
04/01
Dn = 147 x 106 km
04/07
(3) A trajetória da Terra em torno do Sol é uma elipse. Portanto, a distância Terra-Sol varia no tempo. Denomina-se plano da eclíptica o plano que contém a trajetória da Terra.
(4) Distância média Terra-Sol (Dm) = 149,5 x 106 km, e ocorre nos dias 04/04 e 04/10. 
Dx = 152 x 106 km




04/04
04/10
(5) Denomina-se distância relativa Terra-Sol (dr) à relação entre a distância Terra-Sol num dia qualquer (D) e a distância média (Dm). Essa relação é representada a seguir:
Geometria Terra-Sol: Movimento de translação

D
Dm
Geometria Terra-Sol: Distância relativa Terra-Sol
Distância relativa Terra-Sol (adimensional)
Distância Terra-Sol (km)
Distância média Terra-Sol (km)
Número de ordem do Dia Do Ano (1...365)
 O argumento da função cosseno na equação acima é um ângulo em radiano (rad). Lembre-se que: 
180o = π rad
Geometria Terra-Sol: Distância relativa Terra-Sol
Geometria Terra-Sol: Distância relativa Terra-Sol
Exemplo Prático 01 • Determine o para o dia 13 de junho de um ano normal, o que se pede a seguir:
O correspondente DDA; [Resp.: 164] 
(b) O valor de Dr; [Resp.: 0,9686]
(c) Estime o valor de D; [Resp.: 151.903.912,65 km]
(d) Interprete o valor de Dr. É coerente com a época do ano?
	
Exercício Proposto 01 • Determine para a data do seu aniversário, bem como para outras datas de seu interesse, o que foi calculado para o dia 13/06 no Exemplo Prático 01.
Exercício Proposto 02 • Faça o mesmo para o dia de hoje!
Geometria Terra-Sol: Distância relativa Terra-Sol
Exercício Proposto 03 • Pede-se verificar por meio da equação Dr = f(DDA) que para Dr = 1, DDA se aproxima de 04/04 e 04/10. Considere ano normal. 	
Exercício Proposto 04 • Com auxílio de uma planilha eletrônica (MS EXCEL) determine o valor de Dr para todos os dias do ano. Com base nesses resultados, pede-se:
Representar graficamente a variação de Dr em função de DDA;
Determinar os valores máximos e mínimo de Dr ao longo do ano, com quatro casas decimais;
Determinar o valor médio de Dr ao longo do ano;
Determinar a amplitude de Dr ao longo do ano;
Determinar o valor de D em todos os dias do ano;
Confirmar que o valor médio de D é Dm; e
Confirmar na planilha que quando D é máximo Dr é mínimo e vice-versa.
Aspectos da Geometria Terra-Sol
Introdução
Translação e distância relativa Terra-Sol 
Rotação e inclinação do eixo terrestre
Coordenadas geográficas
Marcha anual das estações
Coordenadas celestes: SECC e SHCC
Fotoperíodo
Conclusões
Referências
Geometria Terra-Sol: Movimento de rotação e inclinação do eixo terrestre
oeste
leste
Eixo de rotação
(6) Denomina-se rotação ao movimento da Terra em torno de um eixo imaginário. Tempo cronológico para uma revolução completa = 24 horas. 
 O movimento de rotação responde pela ocorrência dos períodos diurno e noturno.
Latitude
Rotação(km/h)
0
1669,9
10
1642,0
20
1569,7
30
1447,3
40
1280,9
50
1075,5
60
837,0
70
572,8
80
291,0
90
0
Velocidade de rotação da superfície terrestre com a latitude.
 A velocidade angular da superfície terrestre é constante (360o/ 24 h = 15o/h), mas a velocidade escalar varia com a latitude!
Geometria Terra-Sol: Movimento de rotação e inclinação do eixo terrestre
23,5o
66,5o
Plano da eclíptica
Perpendicular ao plano da eclíptica
Equador
Eixo de rotação
23,5o
Pólo Norte
Pólo Sul
Qual o ângulo de inclinação (θ) em relação à vertical?
23° 27´
≈ 23,5°
0,409 rad
 A translação + a inclinação do eixo de rotação determinam as estações do ano (outono, inverno, primavera e verão).
 A Terra, portanto, é um sólido inclinado no espaço!
Geometria Terra-Sol: Movimento de rotação e inclinação do eixo terrestre
Aspectos da Geometria Terra-Sol
Introdução
Translação e distância relativa Terra-Sol 
Rotação e inclinação do eixo terrestre
Coordenadas geográficas
Marcha anual das estações
Coordenadas celestes: SECC e SHCC
Fotoperíodo
Conclusões
Referências
Geometria Terra-Sol: Coordenadas geográficas
As coordenadas geográficas localizam qualquer ponto na superfície terrestre, através de três dados:
 Latitude → paralelos
 Longitude → meridianos
 Altitude → desnível geométrico
Plano meridional (PM): define uma linha imaginária, o meridiano → circunferências na direção norte-sul.
Plano paralelo (PP): define uma linha imaginária, o paralelo → circunferências na direção leste-oeste.
PP
PM
Quantos?
Geometria Terra-Sol: Coordenadas geográficas
Plano Equatorial 
L. Equador
Pólo Sul
Pólo Norte
 A intersecção do plano equatorial (PE) com a esfera terrestre define um paralelo especial denominado Linha do Equador (LE). 
 A LE é o único paralelo que divide a esfera terrestre em duas metades iguais, pois o PE contém o centro da Terra.
 A metade acima do PE é o Hemisfério Norte e a de baixo é o Hemisfério Sul.
PE é perpendicular ao eixo de rotação da Terra. 
HN
HS
40o N
20o S
40o N
30o N
20o N
10o N
0o 
20o S
10o S
Bowen
Kuji
Pólo Norte
90o N
Pólo Sul
90o S
Equador 0o
Geometria Terra-Sol: Coordenadas geográficas
 Denomina-se latitude (φ) ao ângulo formado entre um plano paralelo qualquer e o Plano Equatorial terrestre.
 Todos os pontos ao longo de um mesmo paralelo têm a mesma latitude.
 No HN as latitudes são positivas e no HS são negativas. 
 As latitudes variam de 0 a 90o tanto no HN quanto no HS. 
 Cruz das Almas: 
12o 40´ 39” S
-12o 40´ 39” 
-12,6775o
-0,2213 rad
Geometria Terra-Sol: Coordenadas geográficas
 A figura destaca sete latitudes importantes do ponto de vista da geometria Terra-Sol.
Φ = 23,5 N (Trópico de Câncer) e 23,5 S (Trópico de Capricórnio)
Φ = 0o (Linha do Equador)
Φ = 90o N (Pólo Norte) e 90o S (Pólo Sul)
Trópico de Câncer
Trópico de Capricórnio
C. P. Ártico
C. P. Antártico
Equador
23,5o N
23,5o S
0o 
66,5o N
66,5o S
Pólo Norte
90o N
Pólo Sul
90o S
Geometria Terra-Sol: Coordenadas geográficas
Greenwich
Pólo 
Norte
Pólo 
Sul
Meridiano Primário
Freetown
13o
13o W
 A longitude (ω) de uma localidade corresponde ao ângulo de abertura entre dois planos meridionais (PM): o PM que define o meridiano da localidade e o PM que define o Meridiano Primário ou de Greenwich, que passa na localidade de mesmo nome.
 Cruz das Almas: 
39o 06´ 23” W
-39o 06´ 23” 
-39,1064o
-0,6825 rad
Geometria Terra-Sol: Coordenadas geográficas
Meridiano 
Primário
Pólo 
Norte
Meridiano 
de 180o
30o E
180o
0o
60o E
90o E
120o E
150o E
30o W
60o W
90o W
120o W
150o W
Hemisfério Ocidental
Hemisfério Oriental
(+30o)
(+150o)
(-30o)
(-150o)
Geometria Terra-Sol: Coordenadas geográficas
 Paralelos e Meridianos, perpendiculares entre si, definem um grid imaginário, base do SCG, para determinação da latitude e longitude.
 Não existem dois pontos na superfície terrestre com as mesmas coordenadas geográficas!
Geometria Terra-Sol:
Coordenadas geográficas
Cruz das Almas → A = 225 m
 Tendo o nível do mar como referência a altitude (A) é um desnível geométrico.

Aspectos da Geometria Terra-Sol
Introdução
Translação e distância relativa Terra-Sol 
Rotação e inclinação do eixo terrestre
Coordenadas geográficas
Marcha anual das estações
Coordenadas celestes: SECC e SHCC
Fotoperíodo
Conclusões
Referências
Geometria Terra-Sol: Marcha anual das estações
► Movimento de translação + inclinação do EIT em 23,5º → iluminação diferenciada dos hemisfério terrestres, na maior parte do tempo!! Não se aplica a dois dias do ano. Quais?
Equador
Pólo 
Norte
Círculo de iluminação
Órbita da Terra
C P 
Ártico
 Sol
C P 
Ártico
Círculo de iluminação
20 de 
Março
Equinócio
22 de Setembro
Equinócio
21 de Dezembro
Solstício
21 de Junho
Solstício
Geometria Terra-Sol: Marcha anual das estações
Equinócio de Mar
Equinócio de Set
Solstício 
de Jun
Solstício 
de Dez
Sol
(c) Vista lateral de 20/03 e 22/09
(b) Vista lateral de 21/06
(d) Vista lateral de 22/12
(a) Vista oblíqua
Raio vertical
Raio vertical
Raio vertical
Movimento de translação 
+
Inclinação do EIT 
+ 
Esfericidade da Terra
Distribuição desigual de energia na superfície terrestre!
Aspectos da Geometria Terra-Sol
Introdução
Translação e distância relativa Terra-Sol 
Rotação e inclinação do eixo terrestre
Coordenadas geográficas
Marcha anual das estações
Coordenadas celestes: SECC e SHCC
Fotoperíodo
Conclusões
Referências
•
•
C. P. Ártico
C. P. Antártico
CT
T. Capricórnio
T. Câncer
EIT
VL
 = 0
•
•
•
•
21/03
VL = Vertical local
► SECC = sistema equatorial de coordenadas celestes
PET
CDS
Geometria Terra-Sol: Coordenadas celestes: declinação solar
► Movimento aparente do Sol, com indicação do início das estações do ano.
•
•
•
C. P. Ártico
C. P. Antártico
CT
T. Capricórnio
T. Câncer
EIT
VL
21/06
 = +23,5o
 = 0

•
•
•
•
21/03
► SECC = sistema equatorial de coordenadas celestes
PET
CDS
Geometria Terra-Sol: Coordenadas celestes: declinação solar
► Movimento aparente do Sol, com indicação do início das estações do ano.
VL = Vertical local
•
•
•
C. P. Ártico
C. P. Antártico
CT
T. Capricórnio
T. Câncer
EIT
VL
CDS
 = 0

•
•
•
•
21/03
► SECC = sistema equatorial de coordenadas celestes
PET

22/09
21/06
Geometria Terra-Sol: Coordenadas celestes: declinação solar
► Movimento aparente do Sol, com indicação do início das estações do ano.
VL = Vertical local
•
•
•
•
C. P. Ártico
C. P. Antártico
CT
T. Capricórnio
T. Câncer
EIT
VL
VL
21/12
21/06
22/09
 = +23,5o
 = -23,5o
 = 0
•
•
•
•
21/03
► SECC = sistema equatorial de coordenadas celestes



PET
CDS
Geometria Terra-Sol: Coordenadas celestes: declinação solar
► Movimento aparente do Sol, com indicação do início das estações do ano.
VL = Vertical local
•
•
•
•
C. P. Ártico
C. P. Antártico
CT
T. Capricórnio
T. Câncer
EIT
VL
VL
21/12
21/06
22/09
 = +23,5o
 = -23,5o
 = 0

•
•
•
•
21/03
► SECC = sistema equatorial de coordenadas celestes



PET
CDS
Geometria Terra-Sol: Coordenadas celestes: declinação solar
► Movimento aparente do Sol, com indicação do início das estações do ano.
VL = Vertical local
•
•
•
•
C. P. Ártico
C. P. Antártico
CT
T. Capricórnio
T. Câncer
EIT
VL
VL
21/12
21/06
22/09
 = +23,5o
 = -23,5o
 = 0

•
•
•
•
21/03
► SECC = sistema equatorial de coordenadas celestes



CDS
Geometria Terra-Sol: Coordenadas celestes: declinação solar
► Movimento aparente do Sol, com indicação do início das estações do ano.
VL = Vertical local
Geometria Terra-Sol: Coordenadas celestes: declinação solar
Declinação solar (rad)
Número de ordem do dia do ano
Exemplo Prático 02 • Determine o para o dia 13 de junho de um ano normal, o valor da declinação solar. Expresse o resultado em graus e radianos! Verifique a coerência do resultado com a época do ano! [Resp.: 0,4051 rad]
Exercício Proposto 05 • Determine e interprete o valor de δ (declinação solar) correspondente à data do seu aniversário! Para esta data represente graficamente a localização do Sol em relação à Terra, sabendo que a declinação solar é uma coordenada. 
Exercício Proposto 06 • Com o auxílio de uma planilha eletrônica (MS EXCEL, por exemplo) estime a declinação solar para todos os dias do ano. A partir dos dados obtenha:
Num gráfico, a variação de δ com o tempo;
Delimite no gráfico os instantes e períodos em que δ é nulo, negativo e positivo;
A taxa de variação diária média de δ (°/dia).
Geometria Terra-Sol: Coordenadas celestes: declinação solar
Geometria Terra-Sol: Coordenadas celestes: SHCC

O
CT
•
•
PHL
CVT
•
Sentido do movimento 
aparente do Sol
Sentido do movimento 
da Terra
HV
HñV
ê
ĥ
Ĥ
Ẑ
NS
PS
VL
CDS
VL = Vertical Local
HV = Hemisfério Visível do observador (o)
HñV = Hemisfério não Visível
NS = Nascer do Sol
PS = Pôr do Sol
PHL = Plano Horizontal Local do observador
CVT = Curvatura da Terra
CT = Centro da Terra
Ẑ = ângulo zenital
ê = ângulo de elevação do astro
ĥ = ângulo horário do Sol num instante qualquer
Ĥ = ângulo horário no NS ou PS
Leste
Oeste
zênite
hL = hora local (0...24)
ĥ < 0 → antes do meio-dia
ĥ = 0 → ao meio dia 
ĥ > 0 → após o meio-dia
Ângulo zenital (rad)
Declinação solar (rad)
(negativa HS)
Latitude local (rad)
(negativa HS)
Ângulos complementares!
Ângulo horário (rad)
(negativo de manhã)
Geometria Terra-Sol: Coordenadas celestes: SHCC
Exemplo Prático 03 • Determine: (a) → ângulo horário (ĥ), (b) → ângulo zenital (Ẑ) e (c) → elevação do astro (ê) no dia 13 de junho às 10 horas na localidade de Cruz das Almas, Bahia (225 m; 12o40’39” S; 39o06’23” W). Lembre-se que: -12o40’39” = -12,6775o = -0,2213 rad 
[Resp.: -0,5236 rad; 0,8093 rad ou 46,37; 0,7615 rad ou 43,63]
Geometria Terra-Sol: Coordenadas celestes: SHCC
Exemplo Prático 04 • Demonstre que ao meio-dia a igualdade Ẑ = │φ – │ é válida. A partir da igualdade, verifique a condição necessária para que o Sol culmine zenitalmente numa localidade. 
Exercício Proposto 07 • Determine o valor do ângulo zenital às 09h40min e ao meio-dia na data e localidade de seu nascimento. Interprete os resultados!
Exercício Proposto 08 • Determine os dias do ano em que o Sol culmina zenitalmente em Cruz das Almas, Bahia. 
Exercício Proposto 09 • Determine os dias do ano em que o Sol culmina zenitalmente na localidade de seu nascimento. 
Geometria Terra-Sol: Coordenadas celestes: SHCC
Exemplo Prático 05 • Derive uma expressão para estimativa do ângulo horário do Sol nos instantes extremos do fotoperíodo (nascer e pôr do Sol), sabendo que nesses instantes ẑ = 90o.
Exemplo Prático 06 • Qual o valor do ângulo horário Ĥ no nascer do Sol em Cruz das Almas, Bahia, no dia 13 de junho. Expresse o resultado em graus e radianos. [Resp.: Ĥ = -1,474 rad ou -84,45]
Exercício Proposto 10 • Determine o valor de Ĥ na data e localidade de seu nascimento. 
Ângulo horário no pôr do Sol (rad)
(negativo de manhã)
φ (rad)
 (rad)

O
CT
•
•
PHL
CVT
•
Sentido do movimento 
aparente do Sol
Sentido do movimento 
da Terra
HV
HñV
ê
ĥ
Ĥ
Ẑ
NS
PS
VL
CDS
VL = Vertical Local
HV = Hemisfério Visível do observador (o)
HñV = Hemisfério não Visível
NS = Nascer do Sol
PS = Pôr do Sol
PHL = Plano Horizontal Local do observador
CVT = Curvatura da Terra
CT = Centro da Terra
Ẑ = ângulo zenital
ê = ângulo de elevação do astro
ĥ = ângulo horário do Sol num instante qualquer
Ĥ = ângulo horário no NS ou PS
Leste
Oeste
zênite
Geometria Terra-Sol: Coordenadas celestes: SHCC
Aspectos da Geometria Terra-Sol
Introdução
Translação e distância relativa Terra-Sol 
Rotação e inclinação do eixo terrestre
Coordenadas geográficas
Marcha anual das estações
Coordenadas celestes: SECC e SHCC
Fotoperíodo
Conclusões
Referências
Denomina-se fotoperíodo (N) ou número máximo de horas de brilho solar ou duração astronômica do dia ao intervalo de tempo cronológico (horas) entre o nascer e o pôr do Sol, ou seja, é o intervalo de tempo em que o Sol permanece no hemisfério visível do observador.
Ângulo horário no pôr do Sol (rad)
Fotoperíodo (h)
N > 12 h → primavera e verão 
N = 12 h → nas datas dos equinócios
N < 12 h → outono e inverno
Geometria Terra-Sol: Coordenadas celestes: SHCC
Exemplo Prático 07 • Qual o fotoperíodo em Cruz das Almas, Bahia, do dia 13 de junho? [Resp.: 11,26 h]
Exercício Proposto 12 • Determine o valor de N na data e localidade de seu nascimento. 
Exercício Proposto 11 • Demonstre que nos equinócios N = 12 h em qualquer latitude da Terra. 
Exercício Proposto 13 • Demonstre que para qualquer localidade ao longo da Linha do Equador, N = 12 h todos os dias do ano. 
Geometria Terra-Sol: Coordenadas celestes: SHCC
Figura 00 - Variação anual do fotoperíodo (N) em diferentes latitudes, com indicação dos dois dias do ano (equinócios) em que N = 12 h em qualquer latitude da Terra. 
20/03 (79) 
22/09 (265) 
Cruz das Almas, BA
Geometria Terra-Sol: Coordenadas celestes: SHCC
Aspectos da Geometria Terra-Sol
Introdução
Translação e distância relativa Terra-Sol 
Rotação e inclinação do eixo terrestre
Coordenadas geográficas
Marcha anual das estações
Coordenadas celestes: SECC e SHCC
Fotoperíodo
Conclusões
Referências
AGUADO, E.; BURT, J. E. Understanding Weather and Climate. 5th ed. New York, NY: Prentice-Hall, 2010. 586p.
PETTY, G. W. A. First Course in Atmospheric Thermodynamics. Madison, WI: Sundog Publishing, 2008. 336p. 
REFERÊNCIAS: consultadas
VAREJÃO-SILVA, M. A. Meteorologia e Climatologia. Recife, PE: 2005. 516p. (Versão digital) 
REFERÊNCIAS: recomendadas
BÍSCARO, G. A. Meteorologia Agrícola Básica. Cassilândia, MS: 2007. 87p. (Versão digital) 
LUTGENS, F. K.; TARBUCK, E. J. The Atmosphere: an introduction to meteorology. 12th ed. New York, NY: Pearson, 2013. 533p. 
KEMENES, A.; FORSBERG, B.; MELACH, J. As hidrelétricas e o aquecimento global. Ciência Hoje, v. 41, n. 245, p. 20-25, jan/fev 2008. 
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	12.606607317	13.5659729256	17.0183012017
	12.5988835124	13.545796897	16.9437255747
	12.5909904357	13.5251883297	16.8680736158
	12.5829317141	13.5041571663	16.7913957207
	12.5747109924	13.4827133707	16.7137406366
	12.5663319275	13.4608669156	16.6351554576
	12.5577981852	13.4386277709	16.5556856286
	12.5491134352	13.4160058918	16.4753749544
	12.5402813483	13.3930112082	16.394265615
	12.5313055916	13.3696536141	16.3123981854
	12.5221898256	13.3459429582	16.2298116599
	12.5129377008	13.3218890341	16.1465434792
	12.5035528543	13.2975015718	16.0626295618
	12.4940389065	13.2727902299	15.9781043366
	12.4843994591	13.2477645873	15.8930007784
	12.4746380915	13.222434137	15.8073504449
	12.4647583589	13.1968082791	15.7211835146
	12.4547637898	13.1708963154	15.6345288265
	12.4446578839	13.1447074437	15.5474139196
	12.4344441104	13.1182507533	15.4598650738
	12.4241259058	13.0915352208	15.3719073506
	12.4137066729	13.0645697065	15.2835646338
	12.4031897788	13.0373629509	15.1948596702
	12.3925785545	13.0099235728	15.1058141106
	12.3818762929	12.9822600664	15.0164485499
	12.371086249	12.9543808005	14.9267825668
	12.3602116382	12.9262940165	14.8368347638
	12.3492556366	12.8980078286	14.7466228055
	12.3382213802	12.8695302229	14.6561634573
	12.3271119648	12.8408690578	14.565472623
	12.3159304458	12.8120320648	14.4745653816
	12.3046798388	12.7830268495	14.3834560241
	12.293363119	12.7538608926	14.2921580886
	12.2819832224	12.724541552	14.2006843958
	12.2705430458	12.6950760652	14.1090470829
	12.2590454476	12.6654715508	14.0172576374
	12.2474932483	12.6357350125	13.9253269297
	12.2358892318	12.6058733411	13.8332652457
	12.2242361462	12.5758933185	13.7410823181
	12.2125367044	12.5458016209	13.6487873572
	12.2007935862	12.515604823	13.5563890818
	12.1890094386	12.4853094021	13.4638957484
	12.1771868778	12.4549217421	13.3713151804
	12.1653284905	12.4244481384	13.2786547973
	12.1534368352	12.3938948024	13.1859216419
	12.141514444	12.3632678666	13.0931224088
	12.1295638243	12.3325733895	13.0002634713
	12.1175874602	12.301817361	12.9073509081
	12.1055878145	12.2710057078	12.8143905297
	12.0935673308	12.2401442986	12.7213879047
	12.0815284346	12.2092389501	12.6283483853
	12.0694735362	12.1782954325	12.5352771327
	12.0574050318	12.1473194754	12.4421791425
	12.0453253059	12.1163167736	12.3490592695
	12.0332367332	12.0852929931	12.2559222526
	12.0211416808	12.0542537771	12.1627727391
	12.00904251	12.0232047522	12.0696153097
	11.9969415785	11.9921515341	11.9764545024
	11.9848412424	11.961099734	11.8832948371
	11.9727438585	11.9300549649	11.7901408398
	11.9606517861	11.8990228471	11.6969970669
	11.9485673889	11.8680090148	11.6038681299
	11.9364930379	11.8370191221	11.5107587192
	11.9244311123	11.8060588487	11.4176736293
	11.9123840024	11.7751339063	11.324617783
	11.9003541112	11.7442500442	11.2315962565
	11.8883438564	11.7134130555	11.1386143043
	11.8763556725	11.6826287824	11.045677385
	11.8643920125	11.6519031223	10.952791186
	11.8524553498	11.6212420331	10.8599616503
	11.8405481801	11.5906515387	10.767195002
	11.828673023	11.5601377344	10.6744977735
	11.8168324238	11.529706792	10.5818768321
	11.8050289549	11.4993649646	10.4893394074
	11.7932652179	11.469118592	10.3968931195
	11.7815438444	11.4389741046	10.3045460073
	11.7698674977	11.4089380283	10.212306557
	11.7582388742	11.3790169888	10.1201837323
	11.7466607046	11.3492177152	10.0281870037
	11.7351357548	11.319547044	9.9363263796
	11.7236668271	11.2900119227	9.8446124374
	11.7122567612	11.2606194126	9.7530563554
	11.7009084347	11.2313766923	9.6616699452
	11.6896247641	11.2022910596	9.5704656854
	11.6784087053	11.1733699344	9.4794567549
	11.6672632538	11.1446208603	9.3886570681
	11.6561914452	11.1160515064	9.2980813096
	11.6451963556	11.0876696682	9.207744971
	11.6342811009	11.0594832687	9.1176643868
	11.6234488374	11.0315003587	9.0278567722
	11.6127027613	11.0037291166	8.9383402611
	11.6020461079	10.9761778486	8.8491339444
	11.5914821516	10.9488549868	8.7602579097
	11.5810142046	10.9217690888	8.6717332805
	11.5706456163	10.894928835	8.5835822566
	11.560379772	10.8683430271	8.4958281544
	11.5502200917	10.8420205844	8.408495448
	11.5401700288	10.815970541	8.3216098095
	11.5302330679	10.7902020416	8.2351981503
	11.5204127236	10.7647243373	8.1492886614
	11.5107125381	10.7395467801	8.063910854
	11.5011360794	10.7146788179	7.979095599
	11.4916869382	10.690129988	7.8948751654
	11.4823687261	10.6659099106	7.8112832588
	11.4731850724	10.6420282811	7.7283550566
	11.4641396213	10.6184948629	7.6461272429
	11.4552360286	10.5953194785	7.5646380399
	11.4464779588	10.5725120008	7.4839272378
	11.4378690813	10.550082343	7.4040362201
	11.4294130667	10.5280404494	7.3250079858
	11.4211135832	10.5063962838	7.2468871672
	11.4129742929	10.485159819	7.1697200421
11.4049988468	10.4643410249	7.0935545402
	11.3971908815	10.4439498561	7.018440243
	11.3895540142	10.4239962394	6.9444283756
	11.3820918385	10.404490061	6.8715717906
	11.3748079195	10.3854411521	6.7999249417
	11.3677057893	10.3668592761	6.7295438478
	11.3607889418	10.3487541132	6.6604860442
	11.3540608284	10.3311352467	6.5928105225
	11.3475248522	10.3140121473	6.5265776556
	11.3411843635	10.2973941587	6.4618491088
	11.3350426546	10.2812904814	6.3986877343
	11.3291029544	10.265710158	6.337157449
	11.3233684238	10.2506620571	6.2773230952
	11.31784215	10.2361548574	6.2192502818
	11.3125271415	10.2221970327	6.1630052069
	11.3074263234	10.2087968356	6.108654461
	11.302542532	10.1959622821	6.05626481
	11.2978785099	10.1837011363	6.0059029586
	11.2934369011	10.1720208953	5.9576352951
	11.2892202463	10.160928774	5.9115276171
	11.2852309784	10.1504316907	5.86764484
	11.2814714175	10.1405362527	5.8260506905
	11.2779437671	10.1312487428	5.786807386
	11.2746501096	10.1225751058	5.749975303
	11.2715924022	10.1145209362	5.7156126377
	11.2687724735	10.1070914654	5.683775062
	11.2661920195	10.1002915509	5.6545153788
	11.2638526003	10.0941256653	5.62788318
	11.2617556374	10.0885978864	5.6039245138
	11.2599024103	10.083711888	5.5826815631
	11.2582940542	10.0794709317	5.5641923421
	11.2569315576	10.0758778594	5.5484904149
	11.2558157604	10.0729350866	5.5356046402
	11.2549473521	10.0706445974	5.5255589478
	11.2543268703	10.0690079391	5.5183721492
	11.2539546997	10.0680262196	5.5140577871
	11.2538310713	10.0677001038	5.5126240254
	11.2539560619	10.0680298128	5.514073583
	11.2543295938	10.0690151231	5.5184037111
	11.2549514352	10.0706553673	5.525606216
	11.2558212006	10.0729494352	5.5356675259
	11.2569383516	10.0758957769	5.5485688008
	11.2583021977	10.0794924061	5.5642860833
	11.2599118984	10.0837369049	5.5827904883
	11.2617664642	10.088626429	5.6040484266
	11.2638647592	10.0941577146	5.6280218604
	11.266205503	10.1003270857	5.6546685846
	11.2687872736	10.1071304622	5.6839425309
	11.2716085099	10.1145633695	5.7157940888
	11.2746675152	10.1226209479	5.7501704388
	11.2779624603	10.131297964	5.7870158942
	11.2814913871	10.1405888214	5.8262722459
	11.2852522128	10.1504875734	5.8678791064
	11.2892427331	10.1609879354	5.9117742491
	11.2934606271	10.1720832983	5.9578939401
	11.2979034616	10.1837667421	6.0061732581
	11.3025686952	10.1960310504	6.0565464015
	11.3074536833	10.2088687246	6.1089469798
	11.3125556828	10.2222719992	6.163308287
	11.3178718569	10.2362328567	6.2195635577
	11.3233992801	10.2507430434	6.277646203
	11.3291349434	10.2657940844	6.3374900273
	11.335075759	10.2813772997	6.3990294256
	11.341218566	10.2974838197	6.4621995603
	11.3475601348	10.3141046012	6.5269365199
	11.354097173	10.3312304426	6.5931774583
	11.3608263299	10.3488519996	6.6608607171
	11.3677442019	10.3669598007	6.7299259308
	11.3748473378	10.3855442622	6.8003141155
	11.3821322431	10.4045957031	6.871967744
	11.3895953858	10.4241043601	6.944830806
	11.3972332003	10.4440604012	7.0188488564
	11.4050420932	10.4644539401	7.0939690515
	11.4130184469	10.4852750499	7.1701401751
	11.421158625	10.5065137757	7.2473126548
	11.4294589761	10.5281601477	7.32543857
	11.4379158383	10.5502041932	7.4044716518
	11.4465255433	10.5726359482	7.484367277
	11.4552844204	10.5954454688	7.5650824554
	11.4641888003	10.6186228418	7.6465758124
	11.4732350187	10.6421581946	7.7288075665
	11.4824194196	10.666041705	7.8117395038
	11.4917383589	10.6902636102	7.8953349487
	11.5011882075	10.7148142148	7.9795587319
	11.510765354	10.7396838993	8.064377156
	11.5204662075	10.7648631267	8.1497579594
	11.5302872004	10.7903424498	8.235670279
	11.5402247906	10.8161125169	8.3220846109
	11.5502754636	10.8421640776	8.4089727712
	11.5604357349	10.8684879879	8.4963078554
	11.5707021515	10.8950752142	8.5840641979
	11.5810712934	10.9219168377	8.6722173314
	11.5915397755	10.9490040577	8.7607439456
	11.6021042488	10.9763281942	8.8496218466
	11.612761401	11.0038806904	8.9388299167
	11.6235079581	11.0316531147	9.028348074
	11.634340685	11.0596371619	9.1181572328
	11.6452563857	11.0878246541	9.2082392644
	11.6562519042	11.1162075412	9.2985769586
	11.6673241245	11.1447779009	9.3891539854
	11.6784699712	11.1735279385	9.479954858
	11.6896864086	11.2024499855	9.570964896
	11.7009704414	11.231536499	9.6621701891
	11.7123191141	11.2607800599	9.7535575623
	11.7237295104	11.2901733708	9.8451145409
	11.7351987528	11.319709254	9.9368293167
	11.7467240018	11.3493806486	10.0286907148
	11.7583024554	11.3791806079	10.1206881611
	11.7699313477	11.409102296	10.2128116502
	11.7816079484	11.4391389842	10.3050517143
	11.7933295613	11.4692840476	10.3973993927
	11.8050935232	11.4995309607	10.4898462014
	11.8168972025	11.5298732935	10.5823841041
	11.8287379981	11.5603047069	10.6750054829
	11.8406133375	11.5908189481	10.7677031102
	11.8525206756	11.6214098459	10.8604701205
	11.864457493	11.6520713052	10.9532999834
	11.8764212941	11.6827973027	11.0461864762
	11.8884096056	11.7135818806	11.1391236576
	11.9004199746	11.744419142	11.2321058412
	11.9124499667	11.7753032449	11.3251275699
	11.9244971643	11.8062283966	11.4181835902
	11.9365591645	11.8371888478	11.5112688266
	11.9486335771	11.8681788872	11.6043783573
	11.9607180227	11.899192835	11.6975073883
	11.9728101307	11.9302250375	11.7906512296
	11.9849075372	11.9612698604	11.8838052704
	11.997007883	11.9923216835	11.9769649543
	12.0091088112	12.0233748939	12.0701257554
	12.0212079659	12.0544238804	12.1632831538
	12.0333029893	12.0854630272	12.2564326113
	12.0453915199	12.1164867075	12.3495695471
	12.0574711908	12.1474892783	12.4426893131
	12.0695396272	12.1784650732	12.5357871702
	12.0815944445	12.2094083973	12.6288582627
	12.0936332463	12.2403135208	12.7218975942
	12.1056536225	12.2711746732	12.8149000025
	12.1176531473	12.3019860377	12.9078601342
	12.1296293771	12.3327417452	13.0007724197
	12.1415798489	12.3634358686	13.0936310469
	12.1535020785	12.3940624177	13.1864299355
	12.1653935585	12.4246153336	13.2791627107
	12.1772517565	12.4550884834	13.3718226761
	12.1890741138	12.4854756552	13.4644027866
	12.2008580438	12.5157705532	13.5568956209
	12.21260093	12.5459667929	13.6492933531
	12.224300125	12.5760578967	13.7415877243
	12.2359529493	12.6060372891	13.8337700132
	12.2475566893	12.6358982935	13.9258310066
	12.259108597	12.6656341273	14.0177609688
	12.2706058884	12.695237899	14.1095496109
	12.2820457425	12.7247026046	14.2011860591
	12.2934253009	12.7540211246	14.2926588226
	12.3047416664	12.7831862209	14.3839557604
	12.3159919031	12.812190535	14.475064048
	12.3271730352	12.8410265854	14.5659701433
	12.3382820472	12.8696867659	14.6566597511
	12.3493158833	12.8981633443	14.7471177879
	12.3602714475	12.9264484615	14.8373283453
	12.3711456036	12.9545341307	14.9272746531
	12.3819351754	12.982412237	15.0169390416
	12.392636947	13.0100745382	15.1063029032
	12.4032476635	13.037512665	15.1953466537
	12.4137640316	13.0647181223	15.2840496924
	12.4241827202	13.0916822909	15.3723903628
	12.4345003618	13.1183964294	15.4603459117
	12.4447135537	13.1448516769	15.5478924492
	12.454818859	13.1710390562	15.6350049072
	12.4648128084	13.1969494774	15.721656999
	12.4746919021	13.2225737421	15.8078211785
	12.4844526114	13.247902548	15.8934685996
	12.494091381	13.2729264944	15.9785690762
	12.5036046312	13.2976360879	16.063091043
	12.5129887604	13.322021749	16.1470015174
	12.522240148	13.3460738189	16.2302660624
	12.5313551567	13.369782567	16.3128487513
	12.5403301362	13.3931381995	16.3947121347
	12.5491614259	13.4161308674	16.4758172101
	12.5578453584	13.4387506765	16.5561233934
	12.5663782633	13.4609876967	16.6355884961
	12.5747564705	13.4828319727	16.7141687042
	12.5829763146	13.5042735345	16.7918185639
	12.5910341384	13.5253024095	16.8684909719
	12.5989262976	13.5459086339	16.9441371722
	12.6066491646	13.5660822653	17.0187067598
	12.6141991337	13.5858133955	17.0921476934
	12.6215726247	13.6050921641	17.1644063159
12.6287660885	13.6239087721	17.2354273857
	12.6357760116	13.6422534959	17.305154119
	12.6425989205	13.6601167018	17.3735282438
	12.6492313875	13.677488861	17.4404900678
	12.6556700353	13.6943605644	17.5059785596
	12.6619115418	13.7107225379	17.5699314464
	12.6679526458	13.726565658	17.6322853272
	12.6737901518	13.7418809673	17.6929758039
	12.6794209352	13.75665969	17.7519376299
	12.6848419473	13.7708932479	17.8091048781
	12.6900502207	13.784573276	17.8644111286
	12.6950428743	13.797691638	17.9177896748
	12.6998171178	13.8102404418	17.9691737505
	12.7043702574	13.822212055	18.0184967762
	12.7086997002	13.8335991198	18.0656926235
	12.7128029587	13.8443945678	18.1106958986
	12.7166776559	13.8545916344	18.153442241
	12.7203215295	13.8641838729	18.193868638
	12.7237324361	13.8731651678	18.2319137506
	12.7269083552	13.881529748	18.2675182496
	12.7298473936	13.8892721991	18.3006251578
	12.7325477886	13.8963874751	18.3311801949
	12.7350079116	13.9028709098	18.3591321211
	12.7372262715	13.9087182267	18.3844330753
	12.7392015175	13.913925549	18.407038903
	12.7409324419	13.918489408	18.4269094688
	12.7424179826	13.922406751	18.44400895
	12.7436572251	13.9256749486	18.4583061051
	12.7446494046	13.9282918004	18.4697745139
	12.7453939073	13.9302555402	18.4783927846
	12.745890272	13.9315648399	18.4841447237
	12.7461381907	13.932218813	18.4870194668
	12.7461375095	13.9322170163	18.487011567
	12.745888229	13.9315594509	18.4841210392
	12.7453905037	13.9302465625	18.4783533603
	12.7446446425	13.9282792401	18.469719424
	12.7436511075	13.9256588142	18.4582354528
	12.7424105132	13.9223870534	18.4439228666
	12.7409236254	13.9184661604	18.4268081126
	12.7391913593	13.913898767	18.4069224579
	12.7372147778	13.9086879282	18.3843017498
	12.7349950894	13.9028371149	18.3589861464
	12.7325336457	13.8963502062	18.3310198235
60o
30o
12,6o
N12
N30
N60
Dia do Ano (DDA)
Fotoperíodo (h)
DDA
		Tabela 01 - Número de ordem do dia do ano (DDA) em função do dia do mês (DDM) e mês do ano (MDA).
		MDA	1	2	3	4	5	6	7	8	9	10	11	12
		DDM	Jan	Fev	Mar*	Abr	Mai	Jun	Jul	Ago	Set	Out	Nov	Dez
		1	1	32	60	91	121	152	182	213	244	274	305	335
		2	2	33	61	92	122	153	183	214	245	275	306	336
		3	3	34	62	93	123	154	184	215	246	276	307	337
		4	4	35	63	94	124	155	185	216	247	277	308	338
		5	5	36	64	95	125	156	186	217	248	278	309	339
		6	6	37	65	96	126	157	187	218	249	279	310	340
		7	7	38	66	97	127	158	188	219	250	280	311	341
		8	8	39	67	98	128	159	189	220	251	281	312	342
		9	9	40	68	99	129	160	190	221	252	282	313	343
		10	10	41	69	100	130	161	191	222	253	283	314	344
		11	11	42	70	101	131	162	192	223	254	284	315	345
		12	12	43	71	102	132	163	193	224	255	285	316	346
		13	13	44	72	103	133	164	194	225	256	286	317	347
		14	14	45	73	104	134	165	195	226	257	287	318	348
		15	15	46	74	105	135	166	196	227	258	288	319	349
		16	16	47	75	106	136	167	197	228	259	289	320	350
		17	17	48	76	107	137	168	198	229	260	290	321	351
		18	18	49	77	108	138	169	199	230	261	291	322	352
		19	19	50	78	109	139	170	200	231	262	292	323	353
		20	20	51	79	110	140	171	201	232	263	293	324	354
		21	21	52	80	111	141	172	202	233	264	294	325	355
		22	22	53	81	112	142	173	203	234	265	295	326	356
		23	23	54	82	113	143	174	204	235	266	296	327	357
		24	24	55	83	114	144	175	205	236	267	297	328	358
		25	25	56	84	115	145	176	206	237	268	298	329	359
		26	26	57	85	116	146	177	207	238	269	299	330	360
		27	27	58	86	117	147	178	208	239	270	300	331	361
		28	28	59	87	118	148	179	209	240	271	301	332	362
		29	29	(60)	88	119	149	180	210	241	272	302	333	363
		30	30		89	120	150	181	211	242	273	303	334	364
		31	31		90		151		212	243		304		365
		* Adicione 1 a partir de 01 de março, se o ano é bissexto.
Dr-DS-N
							Cruz das Almas		Localidade a 30 g S			Localidade a 60 g S
		DDA	dr	DecSolar	DecSolar	H	H	N12	H	H	N30	H	H	N60	Ro
		1	1.0329951107	-0.4010080926	-22.9760712563	1.6663311042	95.4737395392	12.7298319386	1.8180961493	104.169236105	13.8892314807	2.3955233898	137.2533799618	18.3004506616	39.86
		2	1.0329804442	-0.3995637246	-22.8933150649	1.6659462144	95.4516869799	12.7268915973	1.8170822168	104.1111420504	13.8814856067	2.3911878946	137.0049743846	18.2673299179	39.87
		3	1.0329560049	-0.3980009572	-22.8037750902	1.6655303183	95.4278578901	12.7237143853	1.8159868515	104.0483822424	13.8731176323	2.3865255055	136.7378391649	18.2317118887	39.87
		4	1.0329218001	-0.3963202536	-22.7074778648	1.6650836639	95.4022664753	12.7203021967	1.8148107625	103.980997304	13.8641329739	2.3815436825	136.4524017358	18.1936535648	39.88
		5	1.0328778398	-0.3945221117	-22.6044519237	1.6646065156	95.3749278931	12.7166570524	1.8135547054	103.909030533	13.8545374044	2.3762501935	136.1491071557	18.1532142874	39.88
		6	1.0328241371	-0.3926070644	-22.4947277956	1.6640991542	95.3458582242	12.7127810966	1.8122194809	103.8325278091	13.8443370412	2.370653069	135.8284155424	18.1104554057	39.88
		7	1.0327607078	-0.3905756791	-22.3783379942	1.6635618758	95.315074441	12.7086765921	1.8108059333	103.7515374965	13.8335383329	2.3647605584	135.4907995538	18.0654399405	39.89
		8	1.0326875709	-0.3884285579	-22.2553170083	1.6629949917	95.2825943762	12.7043459168	1.8093149482	103.6661103424	13.8221480457	2.3585810873	135.1367419414	18.0182322589	39.89
		9	1.032604748	-0.3861663369	-22.1257012916	1.6623988276	95.2484366892	12.6997915586	1.8077474511	103.5762993718	13.8101732496	2.3521232164	134.7667331961	17.9688977595	39.90
		10	1.0325122635	-0.3837896864	-21.9895292521	1.661773723	95.2126208315	12.6950161109	1.8061044052	103.4821597799	13.797621304	2.3453956024	134.381269304	17.9175025739	39.90
		11	1.032410145	-0.3812993108	-21.8468412405	1.6611200305	95.1751670116	12.6900222682	1.80438681	103.383748821	13.7844998428	2.3384069606	133.9808496254	17.8641132834	39.90
		12	1.0322984226	-0.378695948	-21.6976795384	1.6604381155	95.1360961589	12.6848128212	1.8025956986	103.2811256956	13.7708167594	2.3311660308	133.5659749086	17.8087966545	39.91
		13	1.0321771296	-0.3759803694	-21.5420883456	1.6597283551	95.0954298863	12.6793906515	1.8007321362	103.1743514355	13.7565801914	2.3236815447	133.1371454449	17.7516193927	39.91
		14	1.0320463017	-0.3731533797	-21.3801137671	1.6589911379	95.0531904532	12.6737587271	1.7987972179	103.0634887878	13.741798505	2.3159621965	132.6948593694	17.6926479159	39.91
		15	1.0319059778	-0.3702158166	-21.2118037994	1.658226863	95.0094007272	12.667920097	1.7967920669	102.9486020977	13.7264802797	2.3080166154	132.2396111099	17.631948148	39.91
		16	1.0317561996	-0.3671685506	-21.0372083165	1.6574359395	94.9640841459	12.6618778861	1.794717832	102.8297571907	13.7106342921	2.2998533418	131.7718899837	17.5695853312	39.91
		17	1.0315970112	-0.3640124845	-20.8563790547	1.6566187856	94.9172646786	12.6556352905	1.7925756858	102.7070212547	13.6942695006	2.2914808046	131.2921789397	17.5056238586	39.92
		18	1.03142846	-0.3607485538	-20.6693695977	1.6557758284	94.8689667874	12.6491955717	1.7903668227	102.5804627229	13.6773950297	2.2829073023	130.8009534412	17.4401271255	39.92
		19	1.0312505959	-0.3573777255	-20.4762353605	1.6549075027	94.8192153892	12.6425620519	1.7880924568	102.4501511566	13.6600201542	2.2741409855	130.2986804858	17.3731573981	39.91
		20	1.0310634715	-0.3539009984	-20.2770335727	1.6540142506	94.7680358165	12.6357381089	1.7857538199	102.316157129	13.6421542839	2.2651898422	129.7858177546	17.3047757006	39.91
		21	1.0308671423	-0.3503194028	-20.0718232623	1.653096521	94.7154537801	12.6287271707	1.7833521593	102.1785521114	13.6238069482	2.2560616852	129.2628128842	17.2350417179	39.91
		22	1.0306616666	-0.346634	-19.8606652375	1.6521547684	94.6614953311	12.6215327108	1.7808887361	102.03740836	13.6049877813	2.2467641412	128.7301028543	17.1640137139	39.91
		23	1.0304471051	-0.3428458821	-19.643622069	1.6511894528	94.6061868233	12.6141582431	1.7783648232	101.8927988049	13.5857065073	2.2373046422	128.1881134813	17.0917484642	39.91
		24	1.0302235215	-0.3389561716	-19.4207580712	1.6502010389	94.5495548771	12.606607317	1.7757817034
101.7447969421	13.5659729256	2.227690418	127.6372590127	17.0183012017	39.90
		25	1.029990982	-0.334966021	-19.1921392838	1.6491899953	94.4916263433	12.5988835124	1.7731406674	101.5934767271	13.545796897	2.2179284912	127.0779418103	16.9437255747	39.90
		26	1.0297495556	-0.3308766128	-18.9578334512	1.6481567939	94.4324282674	12.5909904357	1.7704430123	101.4389124724	13.5251883297	2.208025673	126.5105521185	16.8680736158	39.89
		27	1.0294993137	-0.3266891587	-18.7179100035	1.6471019097	94.3719878561	12.5829317141	1.7676900394	101.281178747	13.5041571663	2.19798856	125.9354679055	16.7913957207	39.88
		28	1.0292403305	-0.3224048995	-18.4724400351	1.6460258198	94.310332443	12.5747109924	1.7648830532	101.12035028	13.4827133707	2.1878235332	125.3530547742	16.7137406366	39.87
		29	1.0289726828	-0.3180251048	-18.221496284	1.6449290028	94.2474894566	12.5663319275	1.7620233589	100.9565018673	13.4608669156	2.1775367574	124.7636659318	16.6351554576	39.86
		30	1.0286964498	-0.3135510724	-17.9651531103	1.6438119385	94.1834863888	12.5577981852	1.7591122616	100.789708282	13.4386277709	2.1671341811	124.1676422142	16.5556856286	39.85
		31	1.0284117135	-0.3089841281	-17.703486474	1.6426751074	94.1183507644	12.5491134352	1.7561510646	100.6200441886	13.4160058918	2.1566215384	123.5653121579	16.4753749544	39.84
		32	1.0281185582	-0.304325625	-17.4365739127	1.6415189899	94.0521101121	12.5402813483	1.7531410675	100.4475840613	13.3930112082	2.1460043507	122.9569921126	16.394265615	39.83
		33	1.0278170707	-0.2995769438	-17.1644945181	1.6403440661	93.9847919367	12.5313055916	1.7500835656	100.272402106	13.3696536141	2.1352879292	122.3429863909	16.3123981854	39.81
		34	1.0275073405	-0.2947394914	-16.8873289134	1.6391508151	93.9164236921	12.5221898256	1.746979848	100.0945721867	13.3459429582	2.1244773783	121.723587449	16.2298116599	39.80
		35	1.0271894592	-0.2898147014	-16.6051592287	1.6379397148	93.8470327562	12.5129377008	1.7438311967	99.9141677557	13.3218890341	2.113577599	121.0990760939	16.1465434792	39.78
		36	1.0268635211	-0.284804033	-16.3180690769	1.6367112413	93.7766464069	12.5035528543	1.7406388854	99.7312617888	13.2975015718	2.1025932929	120.4697217132	16.0626295618	39.76
		37	1.0265296227	-0.279708971	-16.0261435291	1.6354658684	93.705291799	12.4940389065	1.7374041783	99.5459267239	13.2727902299	2.0915289668	119.8357825243	15.9781043366	39.74
		38	1.0261878631	-0.2745310252	-15.7294690891	1.6342040677	93.6329959432	12.4843994591	1.7341283293	99.3582344046	13.2477645873	2.080388937	119.1975058381	15.8930007784	39.72
		39	1.0258383434	-0.2692717299	-15.4281336679	1.6329263077	93.5597856861	12.4746380915	1.7308125811	99.1682560272	13.222434137	2.0691773346	118.5551283367	15.8073504449	39.69
		40	1.0254811673	-0.2639326437	-15.1222265577	1.6316330537	93.4856876915	12.4647583589	1.7274581642	98.9760620933	13.1968082791	2.0578981098	117.9088763596	15.7211835146	39.67
		41	1.0251164405	-0.2585153484	-14.8118384055	1.6303247677	93.4107284233	12.4547637898	1.7240662961	98.7817223655	13.1708963154	2.0465550376	117.2589661984	15.6345288265	39.64
		42	1.0247442712	-0.2530214496	-14.4970611859	1.6290019077	93.3349341294	12.4446578839	1.7206381808	98.5853058278	13.1447074437	2.035151723	116.6056043967	15.5474139196	39.61
		43	1.0243647697	-0.2474525749	-14.1779881741	1.6276649279	93.258330828	12.4344441104	1.7171750081	98.3868806499	13.1182507533	2.0236916059	115.9489880537	15.4598650738	39.58
		44	1.0239780483	-0.2418103748	-13.8547139185	1.626314278	93.1809442937	12.4241259058	1.7136779531	98.1865141564	13.0915352208	2.0121779669	115.2893051299	15.3719073506	39.55
		45	1.0235842217	-0.236096521	-13.5273342122	1.6249504036	93.1028000466	12.4137066729	1.7101481755	97.9842727986	13.0645697065	2.0006139323	114.6267347534	15.2835646338	39.52
		46	1.0231834066	-0.2303127067	-13.1959460648	1.6235737454	93.0239233414	12.4031897788	1.7065868195	97.7802221319	13.0373629509	1.9890024797	113.9614475265	15.1948596702	39.48
		47	1.0227757218	-0.2244606458	-12.8606476737	1.6221847394	92.9443391586	12.3925785545	1.7029950133	97.5744267958	13.0099235728	1.9773464432	113.2936058295	15.1058141106	39.44
		48	1.022361288	-0.2185420724	-12.5215383952	1.6207838166	92.864072197	12.3818762929	1.6993738688	97.3669504982	12.9822600664	1.9656485186	112.6233641239	15.0164485499	39.40
		49	1.0219402281	-0.2125587402	-12.1787187147	1.6193714032	92.7831468673	12.371086249	1.6957244814	97.1578560036	12.9543808005	1.9539112689	111.9508692511	14.9267825668	39.36
		50	1.0215126669	-0.2065124223	-11.8322902169	1.61794792	92.7015872865	12.3602116382	1.69204793	96.947205124	12.9262940165	1.942137129	111.2762607285	14.8368347638	39.32
		51	1.0210787309	-0.2004049103	-11.4823555562	1.6165137827	92.6194172746	12.3492556366	1.6883452767	96.7350587146	12.8980078286	1.9303284113	110.5996710414	14.7466228055	39.27
		52	1.0206385489	-0.194238014	-11.1290184257	1.6150694019	92.5366603515	12.3382213802	1.6846175668	96.5214766714	12.8695302229	1.9184873103	109.92122593	14.6561634573	39.22
		53	1.0201922512	-0.1880135608	-10.7723835269	1.6136151829	92.4533397358	12.3271119648	1.6808658291	96.3065179333	12.8408690578	1.9066159079	109.2410446725	14.565472623	39.17
		54	1.0197399702	-0.1817333951	-10.4125565384	1.6121515254	92.3694783437	12.3159304458	1.6770910755	96.0902404863	12.8120320648	1.8947161778	108.5592403621	14.4745653816	39.12
		55	1.0192818397	-0.1753993779	-10.0496440846	1.6106788244	92.2850987908	12.3046798388	1.6732943017	95.8727013712	12.7830268495	1.8827899908	107.8759201805	14.3834560241	39.07
		56	1.0188179957	-0.1690133861	-9.6837537044	1.6091974693	92.2002233926	12.293363119	1.6694764869	95.6539566942	12.7538608926	1.870839119	107.1911856644	14.2921580886	39.01
		57	1.0183485754	-0.1625773119	-9.314993819	1.6077078443	92.1148741682	12.2819832224	1.6656385942	95.4340616403	12.724541552	1.8588652406	106.5051329685	14.2006843958	38.95
		58	1.0178737181	-0.1560930626	-8.9434736999	1.6062103287	92.0290728437	12.2705430458	1.661781571	95.2130704887	12.6950760652	1.8468699444	105.817853122	14.1090470829	38.89
		59	1.0173935644	-0.1495625596	-8.5693034365	1.6047052966	91.9428408567	12.2590454476	1.6579063491	94.9910366313	12.6654715508	1.834854734	105.1294322806	14.0172576374	38.82
		60	1.0169082566	-0.1429877379	-8.1925939036	1.6031931172	91.8561993622	12.2474932483	1.6540138453	94.7680125939	12.6357350125	1.8228210326	104.4399519731	13.9253269297	38.76
		61	1.0164179385	-0.1363705459	-7.8134567283	1.601674155	91.7691692388	12.2358892318	1.6501049617	94.5440500584	12.6058733411	1.8107701863	103.749489343	13.8332652457	38.69
		62	1.0159227555	-0.1297129443	-7.4320042571	1.6001487697	91.6817710963	12.2242361462	1.6461805859	94.3191998884	12.5758933185	1.7987034693	103.0581173854	13.7410823181	38.62
		63	1.0154228542	-0.123016906	-7.0483495227	1.5986173163	91.5940252833	12.2125367044	1.6422415919	94.0935121564	12.5458016209	1.7866220872	102.365905179	13.6487873572	38.55
		64	1.0149183827	-0.1162844151	-6.6626062102	1.5970801458	91.5059518963	12.2007935862	1.6382888403	93.8670361726	12.515604823	1.7745271812	101.6729181136	13.5563890818	38.47
		65	1.0144094907	-0.1095174667	-6.2748886236	1.5955376044	91.4175707893	12.1890094386	1.634323179	93.6398205158	12.4853094021	1.7624198322	100.9792181128	13.4638957484	38.40
		66	1.0138963287	-0.1027180658	-5.8853116522	1.5939900349	91.3289015836	12.1771868778	1.6303454436	93.4119130659	12.4549217421	1.7503010642	100.2848638534	13.3713151804	38.32
		67	1.013379049	-0.0958882274	-5.4939907359	1.5924377756	91.2399636788	12.1653284905	1.6263564582	93.183361038	12.4244481384	1.7381718484	99.5899109794	13.2786547973	38.23
		68	1.0128578048	-0.0890299752	-5.1010418316	1.5908811616	91.1507762641	12.1534368352	1.6223570359	92.9542110179	12.3938948024	1.7260331067	98.894412314	13.1859216419	38.15
		69	1.0123327506	-0.0821453416	-4.7065813785	1.5893205242	91.0613583304	12.141514444	1.6183479793	92.7245089992	12.3632678666	1.7138857155	98.1984180661	13.0931224088	38.06
		70	1.0118040419	-0.0752363665
-4.3107262637	1.5877561917	90.9717286822	12.1295638243	1.6143300817	92.494300421	12.3325733895	1.701730509	97.501976035	13.0002634713	37.98
		71	1.0112718354	-0.0683050972	-3.9135937877	1.5861884893	90.8819059512	12.1175874602	1.610304127	92.2636302075	12.301817361	1.6895682829	96.8051318108	12.9073509081	37.88
		72	1.0107362888	-0.0613535876	-3.5153016295	1.5846177394	90.7919086089	12.1055878145	1.606270891	92.0325428081	12.2710057078	1.6773997979	96.107928973	12.8143905297	37.79
		73	1.0101975608	-0.0543838977	-3.1159678115	1.5830442618	90.7017549807	12.0935673308	1.602231142	91.8010822392	12.2401442986	1.6652257827	95.4104092855	12.7213879047	37.70
		74	1.0096558111	-0.0473980926	-2.7157106649	1.5814683739	90.6114632598	12.0815284346	1.5981856413	91.5692921255	12.2092389501	1.6530469381	94.7126128897	12.6283483853	37.60
		75	1.0091112001	-0.0403982425	-2.3146487947	1.5798903914	90.5210515217	12.0694735362	1.5941351443	91.3372157436	12.1782954325	1.6408639396	94.0145784951	12.5352771327	37.50
		76	1.0085638893	-0.0333864215	-1.9129010441	1.5783106279	90.4305377385	12.0574050318	1.590080401	91.1048960654	12.1473194754	1.6286774412	93.3163435686	12.4421791425	37.40
		77	1.0080140408	-0.0263647074	-1.5105864597	1.5767293955	90.339939794	12.0453253059	1.5860221569	90.8723758018	12.1163167736	1.6164880783	92.6179445213	12.3490592695	37.29
		78	1.0074618176	-0.0193351808	-1.1078242558	1.575147005	90.2492754989	12.0332367332	1.5819611535	90.639697448	12.0852929931	1.6042964713	91.9194168943	12.2559222526	37.19
		79	1.0069073833	-0.0122999248	-0.7047337798	1.5735637663	90.1585626059	12.0211416808	1.5778981296	90.4069033283	12.0542537771	1.5921032285	91.2207955435	12.1627727391	37.08
		80	1.0063509022	-0.0052610241	-0.3014344759	1.5719799886	90.0678188248	12.00904251	1.5738338217	90.1740356412	12.0232047522	1.5799089495	90.5221148231	12.0696153097	36.97
		81	1.0057925392	0.0017794356	0.1019541496	1.5703959804	89.9770618385	11.9969415785	1.569768965	89.9411365054	11.9921515341	1.5677142284	89.8234087683	11.9764545024	36.86
		82	1.0052324597	0.008819368	0.5053125638	1.5688120501	89.8863093182	11.9848412424	1.5657042939	89.7082480053	11.961099734	1.5555196567	89.1247112783	11.8832948371	36.74
		83	1.0046708297	0.015856687	0.908521243	1.5672285062	89.7955789389	11.9727438585	1.5616405431	89.4754122368	11.9300549649	1.543325827	88.4260562984	11.7901408398	36.63
		84	1.0041078157	0.0228893074	1.3114607077	1.5656456576	89.7048883954	11.9606517861	1.5575784484	89.2426713534	11.8990228471	1.5311333356	87.7274780021	11.6969970669	36.51
		85	1.0035435844	0.0299151451	1.7140115584	1.5640638138	89.6142554171	11.9485673889	1.5535187472	89.0100676113	11.8680090148	1.5189427863	87.0290109743	11.6038681299	36.39
		86	1.0029783031	0.0369321184	2.1160545104	1.5624832849	89.5236977841	11.9364930379	1.5494621798	88.7776434157	11.8370191221	1.5067547929	86.3306903943	11.5107587192	36.27
		87	1.0024121393	0.0439381478	2.5174704298	1.5609043825	89.4332333421	11.9244311123	1.5454094895	88.5454413652	11.8060588487	1.4945699831	85.6325522199	11.4176736293	36.15
		88	1.0018452607	0.0509311575	2.9181403684	1.5593274195	89.3428800178	11.9123840024	1.541361424	88.313504297	11.7751339063	1.4823890013	84.9346333724	11.324617783	36.02
		89	1.0012778353	0.0579090751	3.317945599	1.5577527104	89.2526558337	11.9003541112	1.5373187359	88.0818753316	11.7442500442	1.470212512	84.2369719234	11.2315962565	35.90
		90	1.0007100312	0.064869833	3.7167676507	1.5561805718	89.162578923	11.8883438564	1.5332821835	87.8505979161	11.7134130555	1.4580412029	83.5396072825	11.1386143043	35.77
		91	1.0001420168	0.0718113686	4.114488344	1.5546113222	89.0726675438	11.8763556725	1.5292525316	87.619715868	11.6826287824	1.4458757886	82.8425803873	11.045677385	35.64
		92	0.9995739602	0.078731625	4.5109898255	1.5530452827	88.9829400938	11.8643920125	1.5252305521	87.3892734172	11.6519031223	1.4337170136	82.1459338951	10.952791186	35.51
		93	0.9990060299	0.0856285514	4.9061546035	1.5514827773	88.8934151237	11.8524553498	1.5212170249	87.1593152481	11.6212420331	1.4215656558	81.4497123771	10.8599616503	35.38
		94	0.9984383942	0.0925001043	5.2998655819	1.5499241324	88.8041113508	11.8405481801	1.5172127385	86.9298865402	11.5906515387	1.4094225299	80.7539625153	10.767195002	35.25
		95	0.9978712212	0.0993442474	5.6920060958	1.5483696779	88.7150476725	11.828673023	1.5132184909	86.701033008	11.5601377344	1.3972884911	80.0587333016	10.6744977735	35.12
		96	0.997304679	0.1061589527	6.0824599454	1.5468197471	88.6262431782	11.8168324238	1.5092350898	86.4728009397	11.529706792	1.3851644382	79.3640762407	10.5818768321	34.98
		97	0.9967389354	0.1129422007	6.4711114309	1.5452746767	88.5377171621	11.8050289549	1.5052633539	86.2452372348	11.4993649646	1.3730513176	78.6700455556	10.4893394074	34.84
		98	0.9961741582	0.1196919816	6.8578453864	1.5437348071	88.4494891345	11.7932652179	1.501304113	86.01838944	11.469118592	1.3609501269	77.9766983965	10.3968931195	34.71
		99	0.9956105147	0.1264062951	7.2425472143	1.5422004829	88.3615788329	11.7815438444	1.4973582088	85.7923057844	11.4389741046	1.3488619181	77.2840950545	10.3045460073	34.57
		100	0.9950481719	0.1330831517	7.6251029191	1.5406720527	88.2740062328	11.7698674977	1.4934264956	85.5670352125	11.4089380283	1.3367878023	76.5922991777	10.212306557	34.43
		101	0.9944872964	0.139720573	8.0053991414	1.5391498694	88.1867915568	11.7582388742	1.4895098407	85.342627416	11.3790169888	1.3247289528	75.9013779922	10.1201837323	34.29
		102	0.9939280544	0.1463165919	8.3833231912	1.5376342906	88.0999552847	11.7466607046	1.4856091249	85.1191328639	11.3492177152	1.3126866092	75.2114025277	10.0281870037	34.15
		103	0.9933706117	0.1528692542	8.7587630814	1.5361256782	88.013518161	11.7351357548	1.4817252431	84.8966028301	11.319547044	1.3006620816	74.5224478471	9.9363263796	34.01
		104	0.9928151334	0.1593766179	9.131607561	1.534624399	87.9275012033	11.7236668271	1.4778591048	84.6750894201	11.2900119227	1.2886567546	73.8345932806	9.8446124374	33.87
		105	0.9922617841	0.165836755	9.5017461483	1.5331308249	87.8419257087	11.7122567612	1.4740116342	84.4546455948	11.2606194126	1.2766720915	73.1479226653	9.7530563554	33.73
		106	0.9917107279	0.172247751	9.8690691631	1.5316453324	87.7568132599	11.7009084347	1.4701837711	84.235325192	11.2313766923	1.2647096384	72.4625245891	9.6616699452	33.58
		107	0.9911621279	0.1786077063	10.2334677597	1.5301683034	87.6721857307	11.6896247641	1.4663764707	84.0171829469	11.2022910596	1.2527710287	71.7784926404	9.5704656854	33.44
		108	0.9906161468	0.1849147363	10.594833959	1.5287001248	87.5880652894	11.6784087053	1.4625907042	83.800274508	11.1733699344	1.2408579876	71.0959256618	9.4794567549	33.30
		109	0.9900729463	0.191166972	10.9530606803	1.5272411886	87.5044744031	11.6672632538	1.4588274592	83.5846564526	11.1446208603	1.2289723363	70.4149280104	9.3886570681	33.16
		110	0.9895326875	0.1973625609	11.3080417733	1.5257918922	87.4214358392	11.6561914452	1.4550877396	83.3703862982	11.1160515064	1.2171159973	69.7356098223	9.2980813096	33.01
		111	0.9889955303	0.203499667	11.6596720495	1.5243526383	87.3389726666	11.6451963556	1.4513725656	83.1575225117	11.0876696682	1.2052909982	69.0580872827	9.207744971	32.87
		112	0.988461634	0.2095764717	12.0078473133	1.5229238348	87.2571082565	11.6342811009	1.4476829746	82.9461245153	11.0594832687	1.1934994773	68.3824829011	9.1176643868	32.73
		113	0.9879311567	0.2155911744	12.3524643927	1.5215058949	87.1758662806	11.6234488374	1.4440200202	82.7362526899	11.0315003587	1.1817436881	67.7089257916	9.0278567722	32.59
		114	0.9874042557	0.2215419928	12.6934211704	1.5200992368	87.0952707095	11.6127027613	1.4403847731	82.5279683748	11.0037291166	1.1700260041	67.037551958	8.9383402611	32.44
		115	0.9868810871	0.2274271635	13.0306166134	1.5187042841	87.0153458093	11.6020461079	1.4367783206	82.3213338644	10.9761778486	1.1583489246	66.368504583	8.8491339444	32.30
		116	0.9863618059	0.2332449426	13.3639508035	1.5173214655	86.9361161369	11.5914821516	1.4332017663
82.1164124012	10.9488549868	1.1467150789	65.7019343226	8.7602579097	32.16
		117	0.985846566	0.2389936062	13.6933249665	1.5159512144	86.8576065344	11.5810142046	1.4296562306	81.9132681658	10.9217690888	1.135127232	65.0379996036	8.6717332805	32.02
		118	0.9853355201	0.2446714509	14.0186415019	1.5145939694	86.7798421221	11.5706456163	1.4261428496	81.7119662628	10.894928835	1.1235882899	64.3768669242	8.5835822566	31.88
		119	0.9848288196	0.2502767941	14.3398040112	1.5132501735	86.7028482899	11.560379772	1.4226627754	81.5125727032	10.8683430271	1.1121013048	63.7187111582	8.4958281544	31.74
		120	0.9843266146	0.2558079749	14.6567173271	1.5119202745	86.6266506881	11.5502200917	1.4192171758	81.315154383	10.8420205844	1.1006694803	63.06371586	8.408495448	31.60
		121	0.983829054	0.2612633543	14.9692875413	1.5106047243	86.5512752157	11.5401700288	1.415807233	81.1197790575	10.815970541	1.0892961768	62.4120735713	8.3216098095	31.47
		122	0.9833362852	0.2666413157	15.2774220326	1.5093039792	86.4767480089	11.5302330679	1.4124341444	80.9265153124	10.7902020416	1.0779849171	61.763986127	8.2351981503	31.33
		123	0.9828484542	0.2719402655	15.581029494	1.5080184991	86.4030954267	11.5204127236	1.4090991207	80.7354325297	10.7647243373	1.0667393913	61.1196649605	8.1492886614	31.19
		124	0.9823657056	0.2771586336	15.8800199601	1.5067487478	86.330344036	11.5107125381	1.4058033861	80.5466008509	10.7395467801	1.0555634624	60.4793314052	8.063910854	31.06
		125	0.9818881824	0.2822948736	16.1743048336	1.5054951923	86.2585205953	11.5011360794	1.4025481775	80.3600911345	10.7146788179	1.0444611715	59.8432169921	7.979095599	30.93
		126	0.9814160261	0.2873474635	16.4637969115	1.5042583026	86.1876520366	11.4916869382	1.3993347432	80.1759749104	10.690129988	1.0334367425	59.2115637408	7.8948751654	30.80
		127	0.9809493767	0.2923149061	16.748410411	1.5030385515	86.1177654459	11.4823687261	1.3961643425	79.9943243292	10.6659099106	1.0224945875	58.5846244412	7.8112832588	30.66
		128	0.9804883723	0.2971957296	17.0280609951	1.501836414	86.0488880432	11.4731850724	1.3930382445	79.8152121081	10.6420282811	1.0116393113	57.9626629248	7.7283550566	30.54
		129	0.9800331497	0.3019884875	17.3026657972	1.5006523672	85.9810471595	11.4641396213	1.3899577272	79.6387114718	10.6184948629	1.0008757156	57.3459543216	7.6461272429	30.41
		130	0.9795838437	0.3066917598	17.572143446	1.4994868897	85.9142702146	11.4552360286	1.3869240765	79.4648960891	10.5953194785	0.9902088039	56.7347852996	7.5646380399	30.28
		131	0.9791405874	0.3113041526	17.8364140895	1.498340461	85.8485846911	11.4464779588	1.3839385846	79.2938400057	10.5725120008	0.9796437846	56.1294542838	7.4839272378	30.16
		132	0.9787035123	0.3158242993	18.0953994185	1.4972135616	85.7840181095	11.4378690813	1.3810025493	79.1256175726	10.550082343	0.9691860748	55.5302716506	7.4040362201	30.04
		133	0.9782727477	0.3202508605	18.3490226902	1.4961066719	85.7205979999	11.4294130667	1.3781172722	78.9603033701	10.5280404494	0.9588413032	54.9375598933	7.3250079858	29.92
		134	0.9778484214	0.3245825244	18.5972087504	1.495020272	85.6583518744	11.4211135832	1.3752840575	78.7979721283	10.5063962838	0.9486153119	54.3516537539	7.2468871672	29.80
		135	0.9774306591	0.3288180075	18.8398840563	1.4939548414	85.5973071965	11.4129742929	1.3725042108	78.6386986426	10.485159819	0.9385141589	53.7729003156	7.1697200421	29.68
		136	0.9770195846	0.3329560547	19.076976698	1.492910858	85.5374913509	11.4049988468	1.369779037	78.4825576867	10.4643410249	0.928544118	53.2016590516	7.0935545402	29.57
		137	0.9766153196	0.3369954399	19.3084164198	1.4918887977	85.478931611	11.3971908815	1.3671098393	78.3296239205	10.4439498561	0.9187116795	52.6383018224	7.018440243	29.46
		138	0.9762179841	0.340934966	19.534134641	1.4908891341	85.4216551064	11.3895540142	1.364497917	78.1799717958	10.4239962394	0.9090235487	52.0832128171	6.9444283756	29.35
		139	0.9758276956	0.3447734658	19.7540644766	1.4899123376	85.3656887886	11.3820918385	1.3619445642	78.0336754571	10.404490061	0.899486644	51.5367884293	6.8715717906	29.24
		140	0.97544457	0.3485098017	19.9681407566	1.4889588748	85.3110593962	11.3748079195	1.3594510678	77.8908086409	10.3854411521	0.8901080934	50.9994370629	6.7999249417	29.13
		141	0.9750687206	0.3521428667	20.1763000455	1.4880292082	85.2577934195	11.3677057893	1.3570187059	77.7514445706	10.3668592761	0.8808952298	50.4715788582	6.7295438478	29.03
		142	0.974700259	0.3556715841	20.3784806613	1.4871237949	85.2059170639	11.3607889418	1.3546487457	77.6156558492	10.3487541132	0.8718555844	49.9536453313	6.6604860442	28.93
		143	0.9743392941	0.3590949084	20.5746226934	1.486243087	85.1554562131	11.3540608284	1.3523424414	77.4835143501	10.3311352467	0.8629968793	49.4460789184	6.5928105225	28.83
		144	0.9739859332	0.362411825	20.7646680208	1.4853875297	85.1064363915	11.3475248522	1.350101033	77.355091105	10.3140121473	0.8543270173	48.9493324171	6.5265776556	28.74
		145	0.9736402807	0.3656213513	20.9485603289	1.4845575616	85.0588827263	11.3411843635	1.3479257433	77.23045619	10.2973941587	0.8458540704	48.4638683162	6.4618491088	28.65
		146	0.9733024392	0.368722536	21.1262451265	1.4837536138	85.0128199093	11.3350426546	1.3458177769	77.1096786106	10.2812904814	0.8375862658	47.990158007	6.3986877343	28.56
		147	0.9729725087	0.3717144603	21.2976697617	1.4829761089	84.9682721583	11.3291029544	1.3437783173	76.9928261853	10.265710158	0.8295319703	47.5286808675	6.337157449	28.47
		148	0.9726505871	0.3745962376	21.4627834378	1.4822254606	84.9252631786	11.3233684238	1.3418085255	76.879965428	10.2506620571	0.8216996717	47.0799232139	6.2773230952	28.39
		149	0.9723367697	0.377367014	21.6215372278	1.481502073	84.8838161246	11.31784215	1.3399095375	76.7711614307	10.2361548574	0.8140979582	46.6443771132	6.2192502818	28.31
		150	0.9720311495	0.3800259683	21.7738840898	1.4808063401	84.8439535613	11.3125271415	1.3380824626	76.6664777455	10.2221970327	0.8067354951	46.2225390517	6.1630052069	28.23
		151	0.9717338171	0.3825723128	21.91977888	1.4801386445	84.8056974258	11.3074263234	1.3363283809	76.5659762669	10.2087968356	0.7996209991	45.8149084576	6.108654461	28.15
		152	0.9714448606	0.3850052928	22.0591783667	1.4794993577	84.7690689904	11.302542532	1.3346483417	76.4697171155	10.1959622821	0.7927632098	45.4219860747	6.05626481	28.08
		153	0.9711643656	0.3873241874	22.1920412427	1.4788888387	84.7340888244	11.2978785099	1.3330433615	76.3777585225	10.1837011363	0.7861708589	45.0442721894	6.0059029586	28.01
		154	0.9708924152	0.3895283095	22.318328138	1.4783074334	84.7007767583	11.2934369011	1.3315144215	76.2901567151	10.1720208953	0.7798526365	44.6822647134	5.9576352951	27.95
		155	0.97062909	0.391617006	22.4380016309	1.4777554746	84.6691518476	11.2892202463	1.3300624663	76.2069658053	10.160928774	0.7738171556	44.336457128	5.9115276171	27.88
		156	0.970374468	0.3935896579	22.5510262598	1.4772332807	84.6392323379	11.2852309784	1.3286884013	76.1282376801	10.1504316907	0.7680729135	44.0073362999	5.86764484	27.82
		157	0.9701286247	0.3954456807	22.6573685328	1.4767411553	84.6110356313	11.2814714175	1.3273930915	76.054021895	10.1405362527	0.762628252	43.6953801789	5.8260506905	27.77
		158	0.969891633	0.3971845244	22.7569969386	1.4762793869	84.5845782533	11.2779437671	1.3261773592	75.9843655706	10.1312487428	0.7574913155	43.401055395	5.786807386	27.72
		159	0.969663563	0.3988056738	22.8498819551	1.4758482482	84.5598758218	11.2746501096	1.3250419828	75.9193132937	10.1225751058	0.7526700071	43.1248147722	5.749975303	27.67
		160	0.9694444824	0.4003086484	22.9359960584	1.4754479952	84.5369430166	11.2715924022	1.3239876945	75.8589070213	10.1145209362	0.7481719447	42.8670947825	5.7156126377	27.62
		161	0.969234456	0.401693003	23.015313731	1.4750788674	84.5157935513	11.2687724735	1.323015179	75.8031859902	10.1070914654	0.7440044158	42.6283129651	5.683775062	27.58
		162	0.9690335461	0.4029583272	23.0878114695	1.4747410868	84.496440146	11.2661920195	1.3221250723	75.7521866314	10.1002915509	0.7401743322	42.4088653407	5.6545153788	27.54
		163
0.9688418122	0.4041042462	23.1534677912	1.4744348575	84.4788945025	11.2638526003	1.3213179598	75.7059424894	10.0941256653	0.7366881856	42.2091238501	5.62788318	27.50
		164	0.9686593112	0.4051304204	23.2122632406	1.4741603657	84.4631672806	11.2617556374	1.3205943752	75.6644841477	10.0885978864	0.7335520035	42.0294338535	5.6039245138	27.47
		165	0.9684860971	0.4060365457	23.2641803955	1.4739177788	84.4492680772	11.2599024103	1.3199547995	75.6278391599	10.083711888	0.7307713077	41.8701117231	5.5826815631	27.44
		166	0.9683222212	0.4068223536	23.3092038717	1.4737072455	84.4372054062	11.2582940542	1.3193996596	75.5960319877	10.0794709317	0.7283510744	41.7314425658	5.5641923421	27.41
		167	0.9681677322	0.4074876112	23.3473203277	1.4735288951	84.4269866817	11.2569315576	1.3189293276	75.5690839452	10.0758778594	0.7262956969	41.6136781115	5.5484904149	27.39
		168	0.9680226758	0.4080321215	23.3785184689	1.4733828376	84.4186182029	11.2558157604	1.3185441195	75.5470131496	10.0729350866	0.724608953	41.5170348015	5.5356046402	27.37
		169	0.9678870949	0.4084557231	23.4027890504	1.4732691632	84.4121051406	11.2549473521	1.3182442952	75.5298344802	10.0706445974	0.7232939749	41.4416921085	5.5255589478	27.36
		170	0.9677610297	0.4087582904	23.4201248805	1.4731879424	84.4074515271	11.2543268703	1.3180300571	75.5175595435	10.0690079391	0.7223532252	41.3877911191	5.5183721492	27.35
		171	0.9676445177	0.4089397338	23.4305208221	1.4731392254	84.4046602478	11.2539546997	1.3179015503	75.5101966467	10.0680262196	0.7217884765	41.3554334031	5.5140577871	27.34
		172	0.9675375933	0.4089999995	23.4339737948	1.4731230424	84.4037330348	11.2538310713	1.3178588619	75.5077507782	10.0677001038	0.7216007975	41.3446801906	5.5126240254	27.33
		173	0.9674402882	0.4089390698	23.4304827753	1.4731394037	84.4046704641	11.2539560619	1.3179020207	75.5102235959	10.0680298128	0.7217905442	41.3555518724	5.514073583	27.33
		174	0.9673526313	0.4087569625	23.420048798	1.4731882989	84.4074719534	11.2543295938	1.3180309975	75.5176134236	10.0690151231	0.7223573566	41.3880278332	5.5184037111	27.33
		175	0.9672746484	0.4084537317	23.4026749548	1.4732696977	84.4121357641	11.2549514352	1.3182457049	75.5299152546	10.0706553673	0.7233001623	41.4420466202	5.525606216	27.34
		176	0.9672063628	0.4080294673	23.378366394	1.4733835498	84.4186590047	11.2558212006	1.3185459977	75.5471207639	10.0729494352	0.7246171847	41.5175064446	5.5356675259	27.35
		177	0.9671477947	0.407484295	23.3471303187	1.4735297845	84.4270376367	11.2569383516	1.318931673	75.5692183266	10.0758957769	0.7263059576	41.614266006	5.5485688008	27.36
		178	0.9670989614	0.4068183762	23.3089759848	1.4737083115	84.4372664827	11.2583021977	1.3194024706	75.5961930458	10.0794924061	0.7283633451	41.732145625	5.5642860833	27.38
		179	0.9670598774	0.4060319084	23.2639146982	1.4739190208	84.4493392378	11.2599118984	1.3199580742	75.6280267865	10.0837369049	0.730785566	41.8709286622	5.5827904883	27.40
		180	0.9670305542	0.4051251246	23.2119598117	1.4741617829	84.4632484816	11.2617664642	1.3205981114	75.6646982173	10.088626429	0.7335682236	42.0303631995	5.6040484266	27.42
		181	0.9670110006	0.4040982934	23.1531267205	1.4744364491	84.4789856941	11.2638647592	1.321322155	75.7061828595	10.0941577146	0.7367063388	42.2101639527	5.6280218604	27.45
		182	0.9670012223	0.4029517192	23.0874328582	1.4747428518	84.4965412728	11.266205503	1.3221297238	75.7524531426	10.1003270857	0.7401943868	42.4100143843	5.6546685846	27.48
		183	0.9670012223	0.4016857417	23.0148976912	1.4750808047	84.515904552	11.2687872736	1.3230202837	75.8034784667	10.1071304622	0.7440263374	42.6295689821	5.6839425309	27.51
		184	0.9670110006	0.4003007361	22.9355427134	1.4754501037	84.5370638243	11.2716085099	1.323993249	75.8592252712	10.1145633695	0.7481956966	42.8684556662	5.7157940888	27.55
		185	0.9670305542	0.3987971127	22.8493914392	1.4758505266	84.5600063639	11.2746675152	1.3250479835	75.9196571096	10.1226209479	0.7526955503	43.1262782911	5.7501704388	27.59
		186	0.9670598774	0.3971753171	22.7564693973	1.4762818339	84.5847184521	11.2779624603	1.3261838023	75.98473473	10.131297964	0.7575186091	43.4026192068	5.7870158942	27.63
		187	0.9670989614	0.3954358299	22.6568041223	1.4767437693	84.6111854036	11.2814913871	1.3273999727	76.0544161605	10.1405888214	0.7626572536	43.6970418446	5.8262722459	27.68
		188	0.9671477947	0.3935791665	22.5504251473	1.4772360602	84.6393915957	11.2852522128	1.3286957163	76.1286568006	10.1504875734	0.7681035789	44.009093298	5.8678791064	27.73
		189	0.9672063628	0.3916058772	22.4373639947	1.4777584181	84.6693204979	11.2892427331	1.3300702105	76.2074095157	10.1609879354	0.7738494396	44.3383068684	5.9117742491	27.79
		190	0.9672746484	0.3895165465	22.3176541668	1.4783105392	84.7009547034	11.2934606271	1.3315225901	76.2906247373	10.1720832983	0.779886493	44.6842045506	5.9578939401	27.84
		191	0.9673526313	0.3873117937	22.1913311364	1.4788921048	84.7342759621	11.2979034616	1.3330519493	76.378250566	10.1837667421	0.786206241	45.0462994354	6.0061732581	27.90
		192	0.9674402882	0.3849922721	22.0584323357	1.4795027825	84.7692652141	11.3025686952	1.3346573435	76.4702328779	10.1960310504	0.79280007	45.4240980115	6.0565464015	27.97
		193	0.9675375933	0.3825586689	21.9189971454	1.4801422259	84.8059026248	11.3074536833	1.3363377911	76.5665154344	10.2088687246	0.7996592897	45.8171023486	6.1089469798	28.03
		194	0.9676445177	0.3800117054	21.7730668831	1.4808100761	84.8441676208	11.3125556828	1.3380922757	76.6670399938	10.2222719992	0.8067751682	46.2248121528	6.163308287	28.10
		195	0.9677610297	0.3773521361	21.6206847913	1.4815059617	84.8840389264	11.3178718569	1.3399197476	76.7717464255	10.2362328567	0.8141389659	46.6467266827	6.2195635577	28.17
		196	0.9678870949	0.3745807493	21.4618960239	1.4822294997	84.9254946006	11.3233992801	1.3418191266	76.8805728254	10.2507430434	0.8217419664	47.0823465221	6.277646203	28.25
		197	0.9680226758	0.3716983662	21.2967476336	1.4829802962	84.9685120751	11.3291349434	1.3437893033	76.9934556327	10.2657940844	0.8295755047	47.5311752049	6.3374900273	28.33
		198	0.9681677322	0.3687058408	21.1252885573	1.4837579472	85.0130681926	11.335075759	1.3458291414	77.1103297474	10.2813772997	0.8376309931	47.9927206922	6.3990294256	28.41
		199	0.9683222212	0.3656040598	20.9475696021	1.4845620387	85.0591392448	11.341218566	1.3479374799	77.231128648	10.2974838197	0.8458999444	48.4664967026	6.4621995603	28.49
		200	0.9684860971	0.3623939426	20.7636434299	1.4853921482	85.1067010111	11.3475601348	1.3501131351	77.3557845092	10.3141046012	0.8543739926	48.9520238991	6.5269365199	28.58
		201	0.9686593112	0.3590764401	20.5735645421	1.4862478444	85.1557287973	11.354097173	1.3523549025	77.4842283194	10.3312304426	0.8630449111	49.4488309369	6.5931774583	28.67
		202	0.9688418122	0.3556525356	20.3773892631	1.487128689	85.2061974739	11.3608263299	1.354661559	77.6163899968	10.3488519996	0.871904629	49.9564553783	6.6608607171	28.76
		203	0.9690335461	0.3521232435	20.1751757239	1.4880342364	85.2580815144	11.3677442019	1.3570318646	77.752198505	10.3669598007	0.8809452443	50.4744444806	6.7299259308	28.85
		204	0.969234456	0.3484896098	19.9669838446	1.4889640347	85.3113550333	11.3748473378	1.3594645649	77.8915819662	10.3855442622	0.8901590361	51.0023558662	6.8003141155	28.95
		205	0.9694444824	0.344752711	19.7528753172	1.4899176265	85.3659918234	11.3821322431	1.3619583927	78.0344677736	10.4045957031	0.8995384742	51.5397580801	6.871967744	29.05
		206	0.969663563	0.3409136546	19.5329135865	1.4908945496	85.4219653932	11.3895953858	1.3645120699	78.1807827007	10.4241043601	0.9090762267	52.0862310453	6.944830806	29.15
		207	0.969891633	0.3369735781	19.3071638319	1.4918943372	85.4792490025	11.3972332003	1.3671243096	78.3304530087	10.4440604012	0.9187651668	52.6413664233	7.0188488564	29.25
		208	0.9701286247	0.332933649	19.075692948	1.4929165189	85.537815699	11.4050420932	1.3697938176	78.4834045509	10.4644539401	0.9285983774	53.2047678865	7.0939690515	29.36
		209	0.970374468	0.3287950646	18.8385695246	1.4939606212
85.5976383521	11.4130184469	1.3725192945	78.6395628744	10.4852750499	0.9385691541	53.7760513135	7.1701401751	29.47
		210	0.97062909	0.324559051	18.5958638265	1.495026168	85.6586896877	11.421158625	1.3752994372	78.798853318	10.5065137757	0.9486710081	54.3548449113	7.2473126548	29.58
		211	0.9708924152	0.3202268636	18.3476477726	1.4961126814	85.7209423207	11.4294589761	1.3781329407	78.961201108	10.5281601477	0.9588976665	54.9407892747	7.32543857	29.69
		212	0.9711643656	0.3157997861	18.0939949147	1.4972196821	85.784368787	11.4379158383	1.3810184995	79.1265314488	10.5502041932	0.9692430727	55.5335373883	7.4044716518	29.81
		213	0.9714448606	0.3112791303	17.8349804156	1.4983466898	85.8489415746	11.4465255433	1.3839548093	79.2947696112	10.5726359482	0.9797013856	56.1327545775	7.484367277	29.92
		214	0.9717338171	0.3066662357	17.5706810269	1.4994932242	85.9146331532	11.4552844204	1.3869405686	79.4658410158	10.5954454688	0.9902669777	56.7381184158	7.5650824554	30.04
		215	0.9720311495	0.3019624694	17.3011750662	1.5006588048	85.9814160026	11.4641888003	1.3899744796	79.6396713132	10.6186228418	1.0009344332	57.3493185928	7.6465758124	30.16
		216	0.9723367697	0.297169225	17.0265423939	1.501842952	86.0492626402	11.4732350187	1.3930552501	79.8161864593	10.6421581946	1.0116985447	57.9660567484	7.7288075665	30.28
		217	0.9726505871	0.292287923	16.7468643897	1.5030451873	86.1181456469	11.4824194196	1.3961815943	79.9953127878	10.666041705	1.0225543099	58.5880462785	7.8117395038	30.41
		218	0.9729725087	0.2873200097	16.4622239281	1.5042650336	86.1880376921	11.4917383589	1.3993522343	80.1769770764	10.6902636102	1.033496928	59.2150121156	7.8953349487	30.53
		219	0.9733024392	0.2822669574	16.1727053543	1.5055020158	86.2589115565	11.5011882075	1.4025659009	80.3611066112	10.7148142148	1.0445217955	59.8466904896	7.9795587319	30.66
		220	0.9736402807	0.2771302632	15.8783944588	1.5067556614	86.3307401549	11.510765354	1.405821335	80.5476292445	10.7396838993	1.0556245012	60.4828286701	8.064377156	30.78
		221	0.9739859332	0.2719114494	15.5793784524	1.5080255001	86.4034965561	11.5204662075	1.4091172882	80.7364734501	10.7648631267	1.0668008222	61.1231846959	8.1497579594	30.91
		222	0.9743392941	0.2666120624	15.27574594	1.5093110651	86.4771540028	11.5302872004	1.4124525237	80.9275683732	10.7903424498	1.0780467186	61.7675270926	8.235670279	31.04
		223	0.974700259	0.2612336724	14.9675868943	1.5106118926	86.5516859291	11.5402247906	1.4158258176	81.1208438765	10.8161125169	1.0893583282	62.4156345819	8.3220846109	31.17
		224	0.9750687206	0.2557778732	14.6549926296	1.5119275226	86.6270659771	11.5502754636	1.419235959	81.3162305822	10.8421640776	1.1007319618	63.0672957839	8.4089727712	31.31
		225	0.97544457	0.2502462816	14.3380557743	1.5132574991	86.7032680121	11.5604357349	1.4226817508	81.5136599091	10.8684879879	1.1121640975	63.7223089153	8.4963078554	31.44
		226	0.9758276956	0.2446405366	14.0168702436	1.5146013698	86.7802661361	11.5707021515	1.4261620105	81.7130641064	10.8950752142	1.1236513759	64.3804814846	8.5840641979	31.57
		227	0.9762179841	0.2389622993	13.6915312118	1.5159586873	86.8580347005	11.5810712934	1.4296755709	81.914376283	10.9219168377	1.1351905941	65.0416299857	8.6722173314	31.71
		228	0.9766153196	0.2332132523	13.3621350838	1.5173290084	86.9365483166	11.5915397755	1.4332212797	82.1175304328	10.9490040577	1.1467787008	65.7055795917	8.7607439456	31.84
		229	0.9770195846	0.2273950992	13.0287794667	1.5187118948	87.0157818657	11.6021042488	1.4367980008	82.3224614562	10.9763281942	1.1584127908	66.3721638492	8.8496218466	31.98
		230	0.9774306591	0.221509564	12.6915631412	1.5201069127	87.0957105073	11.612761401	1.4404046141	82.5291051778	11.0038806904	1.1700900999	67.0412243749	8.9388299167	32.12
		231	0.9778484214	0.2155583908	12.3505860316	1.5215136338	87.1763096861	11.6235079581	1.4440400159	82.7373983601	11.0316531147	1.1818079993	67.7126105547	9.028348074	32.25
		232	0.9782727477	0.209543343	12.0059491768	1.5229316344	87.2575551375	11.634340685	1.4477031191	82.947278714	11.0596371619	1.1935639907	68.3861792458	9.1181572328	32.39
		233	0.9787035123	0.2034662029	11.6577547001	1.5243604963	87.3394228926	11.6452563857	1.4513928532	83.1586849054	11.0878246541	1.2053557011	69.061794483	9.2082392644	32.53
		234	0.9791405874	0.1973287714	11.3061057791	1.5257998063	87.4218892813	11.6562519042	1.4551081645	83.3715565588	11.1162075412	1.2171808776	69.7393271893	9.2985769586	32.67
		235	0.9795838437	0.1911328672	10.951106615	1.5272491565	87.5049309341	11.6673241245	1.4588480158	83.5858342571	11.1447779009	1.2290373827	70.4186548905	9.3891539854	32.81
		236	0.9800331497	0.1848803261	10.5928624016	1.5287081444	87.5885247837	11.6784699712	1.4626113869	83.8014595387	11.1735279385	1.2409231891	71.0996614353	9.479954858	32.94
		237	0.9804883723	0.178573001	10.2314792945	1.5301763727	87.6726480644	11.6896864086	1.466397274	84.0183748912	11.2024499855	1.2528363752	71.78223672	9.570964896	33.08
		238	0.9809493767	0.1722127609	9.8670643793	1.5316534491	87.7572783108	11.7009704414	1.4702046897	84.2365237426	11.231536499	1.2647751202	72.4662764185	9.6621701891	33.22
		239	0.9814160261	0.1658014905	9.49972564	1.5331389869	87.842393356	11.7123191141	1.4740326629	84.4558504491	11.2607800599	1.2767376993	73.1516817175	9.7535575623	33.36
		240	0.9818881824	0.1593410894	9.1295719269	1.5346326043	87.9279713281	11.7237295104	1.4778802383	84.6763002809	11.2901733708	1.2887224798	73.8383590569	9.8451145409	33.50
		241	0.9823657056	0.1528334722	8.7567129246	1.5361339246	88.0139906457	11.7351987528	1.4817464764	84.8978194047	11.319709254	1.3007279159	74.5262198754	9.9368293167	33.63
		242	0.9828484542	0.1462805671	8.3812591193	1.5376425762	88.1004300134	11.7467240018	1.4856304529	85.1203548645	11.3493806486	1.3127525448	75.2151803613	10.0286907148	33.77
		243	0.9833362852	0.1396843159	8.0033217661	1.5391581922	88.1872684152	11.7583024554	1.4895312584	85.3438545595	11.3791806079	1.3247949823	75.9051612083	10.1206881611	33.91
		244	0.983829054	0.1330466733	7.6230128558	1.5406804106	88.2744851079	11.7699313477	1.4934479982	85.5682672201	11.409102296	1.3368539189	76.5960873764	10.2128116502	34.04
		245	0.9843266146	0.126369606	7.2404450824	1.5422088741	88.3620596132	11.7816079484	1.4973797915	85.7935423817	11.4391389842	1.348928115	77.2878878574	10.3050517143	34.18
		246	0.9848288196	0.1196550927	6.8557318088	1.5437432296	88.4499717099	11.7933295613	1.5013257711	86.0196303569	11.4692840476	1.3610163979	77.9804954452	10.3973993927	34.31
		247	0.9853355201	0.112905123	6.4689870339	1.5452831286	88.5382014238	11.8050935232	1.5052850827	86.2464822051	11.4995309607	1.3731176568	78.6738465107	10.4898462014	34.45
		248	0.985846566	0.1061216971	6.0803253586	1.5468282266	88.6267290187	11.8168972025	1.5092568848	86.4740497011	11.5298732935	1.38523084	79.3678807809	10.5823841041	34.58
		249	0.9863618059	0.099306825	5.6898619516	1.5483781832	88.7155349855	11.8287379981	1.5132403475	86.7022853018	11.5603047069	1.3973549501	80.0625411219	10.6750054829	34.71
		250	0.9868810871	0.0924625262	5.2977125157	1.5499326615	88.8046000312	11.8406133375	1.5172346524	86.9311421111	11.5908189481	1.4094890411	80.7577733262	10.7677031102	34.84
		251	0.9874042557	0.0855908288	4.9039932533	1.5514913284	88.8939050674	11.8525206756	1.5212389915	87.1605738441	11.6214098459	1.4216322144	81.4535259037	10.8604701205	34.97
		252	0.9879311567	0.0786937689	4.5088208318	1.5530538541	88.9834311978	11.864457493	1.5252525672	87.3905347893	11.6520713052	1.433783615	82.1497498754	10.9532999834	35.10
		253	0.988461634	0.0717733904	4.1123123494	1.554619912	89.073159706	11.8764212941	1.5292745908	87.6209797701	11.6827973027	1.4459424285	82.8463985715	11.0461864762	35.23
		254	0.9889955303	0.0648317438	3.7145853001	1.5561891783	89.1630720421	11.8884096056	1.5333042826	87.8518641047	11.7135818806	1.4581078771	83.5434274319	11.1391236576	35.35
		255	0.9895326875	0.0578708863	3.315757539	1.557761332	89.2531498095	11.9004199746	1.5373408707	88.0831435654	11.744419142