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// Copyright 2022 HE Boliang
// All rights reserved.
package gofa
// Fundamental Arguments (14)
/*
Fad03 mean elongation of the Moon from the Sun.
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 D, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
is from Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
*/
func Fad03(t float64) float64 {
var a float64
/* Mean elongation of the Moon from the Sun (IERS Conventions 2003). */
a = fmod(1072260.703692+
t*(1602961601.2090+
t*(-6.3706+
t*(0.006593+
t*(-0.00003169)))), TURNAS) * DAS2R
return a
}
/*
Fae03 mean longitude of Earth.
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 mean longitude of Earth, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
comes from Souchay et al. (1999) after Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
Astron.Astrophys.Supp.Ser. 135, 111
*/
func Fae03(t float64) float64 {
var a float64
/* Mean longitude of Earth (IERS Conventions 2003). */
a = fmod(1.753470314+628.3075849991*t, D2PI)
return a
}
/*
Faf03 mean longitude of the Moon minus mean longitude of the ascending node.
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 F, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
is from Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
*/
func Faf03(t float64) float64 {
var a float64
/* Mean longitude of the Moon minus that of the ascending node */
/* (IERS Conventions 2003). */
a = fmod(335779.526232+
t*(1739527262.8478+
t*(-12.7512+
t*(-0.001037+
t*(0.00000417)))), TURNAS) * DAS2R
return a
}
/*
Faju03 Mean longitude of Jupiter
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 mean longitude of Jupiter, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
comes from Souchay et al. (1999) after Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
Astron.Astrophys.Supp.Ser. 135, 111
*/
func Faju03(t float64) float64 {
var a float64
/* Mean longitude of Jupiter (IERS Conventions 2003). */
a = fmod(0.599546497+52.9690962641*t, D2PI)
return a
}
/*
Fal03 Mean anomaly of the Moon
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 l, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
is from Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
*/
func Fal03(t float64) float64 {
var a float64
/* Mean anomaly of the Moon (IERS Conventions 2003). */
a = fmod(485868.249036+
t*(1717915923.2178+
t*(31.8792+
t*(0.051635+
t*(-0.00024470)))), TURNAS) * DAS2R
return a
}
/*
Falp03 Mean anomaly of the Sun
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 l', radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
is from Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
*/
func Falp03(t float64) float64 {
var a float64
/* Mean anomaly of the Sun (IERS Conventions 2003). */
a = fmod(1287104.793048+
t*(129596581.0481+
t*(-0.5532+
t*(0.000136+
t*(-0.00001149)))), TURNAS) * DAS2R
return a
}
/*
Fama03 Mean longitude of Mars
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 mean longitude of Mars, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
comes from Souchay et al. (1999) after Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
Astron.Astrophys.Supp.Ser. 135, 111
*/
func Fama03(t float64) float64 {
var a float64
/* Mean longitude of Mars (IERS Conventions 2003). */
a = fmod(6.203480913+334.0612426700*t, D2PI)
return a
}
/*
Fame03 Mean longitude of Mercury
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 mean longitude of Mercury, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
comes from Souchay et al. (1999) after Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
Astron.Astrophys.Supp.Ser. 135, 111
*/
func Fame03(t float64) float64 {
var a float64
/* Mean longitude of Mercury (IERS Conventions 2003). */
a = fmod(4.402608842+2608.7903141574*t, D2PI)
return a
}
/*
Fane03 Mean longitude of Neptune
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 mean longitude of Neptune, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
is adapted from Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
*/
func Fane03(t float64) float64 {
var a float64
/* Mean longitude of Neptune (IERS Conventions 2003). */
a = fmod(5.311886287+3.8133035638*t, D2PI)
return a
}
/*
Faom03 Mean longitude of the Moon's ascending node
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 Omega, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
is from Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J., 1994, Astron.Astrophys. 282, 663-683.
*/
func Faom03(t float64) float64 {
var a float64
/* Mean longitude of the Moon's ascending node */
/* (IERS Conventions 2003). */
a = fmod(450160.398036+
t*(-6962890.5431+
t*(7.4722+
t*(0.007702+
t*(-0.00005939)))), TURNAS) * DAS2R
return a
}
/*
Fapa03 General accumulated precession in longitude
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 general precession in longitude, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003). It
is taken from Kinoshita & Souchay (1990) and comes originally
from Lieske et al. (1977).
References:
Kinoshita, H. and Souchay J. 1990, Celest.Mech. and Dyn.Astron.
48, 187
Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977,
Astron.Astrophys. 58, 1-16
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
*/
func Fapa03(t float64) float64 {
var a float64
/* General accumulated precession in longitude. */
a = (0.024381750 + 0.00000538691*t) * t
return a
}
/*
Fasa03 Mean longitude of Saturn
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 mean longitude of Saturn, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
comes from Souchay et al. (1999) after Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
Astron.Astrophys.Supp.Ser. 135, 111
*/
func Fasa03(t float64) float64 {
var a float64
/* Mean longitude of Saturn (IERS Conventions 2003). */
a = fmod(0.874016757+21.3299104960*t, D2PI)
return a
}
/*
Faur03 Mean longitude of Uranus
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 mean longitude of Uranus, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
is adapted from Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
*/
func Faur03(t float64) float64 {
var a float64
/* Mean longitude of Uranus (IERS Conventions 2003). */
a = fmod(5.481293872+7.4781598567*t, D2PI)
return a
}
/*
Fave03 Mean longitude of Venus
Fundamental argument, IERS Conventions (2003)
Given:
t float64 TDB, Julian centuries since J2000.0 (Note 1)
Returned (function value):
float64 mean longitude of Venus, radians (Note 2)
Notes:
1) Though t is strictly TDB, it is usually more convenient to use
TT, which makes no significant difference.
2) The expression used is as adopted in IERS Conventions (2003) and
comes from Souchay et al. (1999) after Simon et al. (1994).
References:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
IERS Technical Note No. 32, BKG (2004)
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
Astron.Astrophys.Supp.Ser. 135, 111
*/
func Fave03(t float64) float64 {
var a float64
/* Mean longitude of Venus (IERS Conventions 2003). */
a = fmod(3.176146697+1021.3285546211*t, D2PI)
return a
}