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reorganize lightabbr_highe

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Chen Wei
2014-03-11 18:57:52 +08:00
parent 15681c439a
commit 94f079cb77
2 changed files with 94 additions and 54 deletions
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74
aa.py
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@@ -1,6 +1,21 @@
#!/usr/bin/env python #!/usr/bin/env python
# -*- coding: utf-8 -*- # -*- coding: utf-8 -*-
''' Implement astronomical algorithms for finding solar terms and moon phases.
Truncated VSOP87D for calculate Sun's apparent longitude;
Truncated LEA-406 for calculate Moon's apparent longitude;
Truncated IAU2000B from USNO NOVAS c source is used for nutation.
Reference:
VSOP87: ftp://ftp.imcce.fr/pub/ephem/planets/vsop87
LEA-406: S. M. Kudryavtsev (2007) "Long-term harmonic development of
lunar ephemeris", Astronomy and Astrophysics 471, 1069-1075
'''
__license__ = 'BSD' __license__ = 'BSD'
__copyright__ = '2014, Chen Wei <weichen302@gmail.com>' __copyright__ = '2014, Chen Wei <weichen302@gmail.com>'
__version__ = '0.0.3' __version__ = '0.0.3'
@@ -1597,7 +1612,6 @@ freqpla = [
def sunbyvsop2010(vsopobj, jde, ignorenutation=False): def sunbyvsop2010(vsopobj, jde, ignorenutation=False):
''' calculate the apprent place of the Sun. ''' calculate the apprent place of the Sun.
TODO: use 2014-03 cunfeng as reference, i am 0°0'2.82" off, need fix
Arg: Arg:
jde as jde jde as jde
Return: Return:
@@ -2025,39 +2039,45 @@ def lightabbr_low(jde):
return labbr return labbr
# the higher accuracy light abberation table from A & A.
# the first item of row is the power of time, the 3rd and 4th item are the arg
# of sin, they have been converted into radians.
LIGHTABBR_TABLE = [
[ 0, 118.568, 1.527664004990, 6283.075850600876 ],
[ 0, 2.476, 1.484508993906, 12566.151699456424 ],
[ 0, 1.376, 0.486077687339, 77713.771468687730 ],
[ 0, 0.119, 1.276490181677, 7860.419392621536 ],
[ 0, 0.114, 5.885711004647, 5753.384884566103 ],
[ 0, 0.086, 3.884055717388, 11506.769769132206 ],
[ 0, 0.078, 2.841633387025, 161000.685738008644 ],
[ 0, 0.054, 1.441333038870, 18849.227550057301 ],
[ 0, 0.052, 2.993569534399, 3930.209696310768 ],
[ 0, 0.034, 0.529208263814, 71430.695618086858 ],
[ 0, 0.033, 2.091087703461, 5884.926847413107 ],
[ 0, 0.023, 4.320419446313, 5223.693920276658 ],
[ 0, 0.023, 5.674983441420, 5507.553238331428 ],
[ 0, 0.021, 2.707426294193, 11790.629088932305 ],
[ 1, 7.311, 5.819826570714, 6283.075850600876 ],
[ 1, 0.305, 5.776715192860, 12566.151699456424 ],
[ 1, 0.010, 5.733703298774, 18849.227550057301 ],
[ 2, 0.309, 4.214128894867, 6283.075850600876 ],
[ 2, 0.021, 3.578766215288, 12566.151699456424 ],
[ 2, 0.004, 5.198655163283, 77713.771468687730 ],
[ 3, 0.010, 2.700139544566, 6283.075850600876 ],
]
def lightabbr_high(jd): def lightabbr_high(jd):
'''compute light abberation based on A & A p156 '''compute light abberation based on A & A p156
the error will be less than 0.001" the error will be less than 0.001"
''' '''
t = (jd - J2000) / 365250.0 t = (jd - J2000) / 365250.0
t2 = t * t
t3 = t * t2
# variation of the Sun's longitude # variation of the Sun's longitude
#var_lon = (3548.193 var_lon = 3548.330
var_lon = (3548.330 for r in LIGHTABBR_TABLE:
+ 118.568 * sin(math.radians( 87.5287 + 359993.7286 * t )) var_lon += t ** r[0] * r[1] * sin(r[2] + r[3] * t)
+ 2.476 * sin(math.radians( 85.0561 + 719987.4571 * t ))
+ 1.376 * sin(math.radians( 27.8502 +4452671.1152 * t ))
+ 0.119 * sin(math.radians( 73.1375 + 450368.8564 * t ))
+ 0.114 * sin(math.radians( 337.2264 + 329644.6718 * t ))
+ 0.086 * sin(math.radians( 222.5400 + 659289.3436 * t ))
+ 0.078 * sin(math.radians( 162.8136 +9224659.7915 * t ))
+ 0.054 * sin(math.radians( 82.5823 +1079981.1857 * t ))
+ 0.052 * sin(math.radians( 171.5189 + 225184.4282 * t ))
+ 0.034 * sin(math.radians( 30.3214 +4092677.3866 * t ))
+ 0.033 * sin(math.radians( 119.8105 + 337181.4711 * t ))
+ 0.023 * sin(math.radians( 247.5418 + 299295.6151 * t ))
+ 0.023 * sin(math.radians( 325.1526 + 315559.5560 * t ))
+ 0.021 * sin(math.radians( 155.1241 + 675553.2846 * t ))
+ 7.311 * t * sin(math.radians( 333.4515 + 359993.7286 * t ))
+ 0.305 * t * sin(math.radians( 330.9814 + 719987.4571 * t ))
+ 0.010 * t * sin(math.radians( 328.5170 +1079981.1857 * t ))
+ 0.309 * t2 * sin(math.radians( 241.4518 + 359993.7286 * t ))
+ 0.021 * t2 * sin(math.radians( 205.0482 + 719987.4571 * t ))
+ 0.004 * t2 * sin(math.radians( 297.8610 +4452671.1152 * t ))
+ 0.010 * t3 * sin(math.radians( 154.7066 + 359993.7286 * t ))
)
t = (jd - J2000) / 36525.0 t = (jd - J2000) / 36525.0
t2 = t * t t2 = t * t

74
aa_full.py
View File

@@ -1,6 +1,21 @@
#!/usr/bin/env python #!/usr/bin/env python
# -*- coding: utf-8 -*- # -*- coding: utf-8 -*-
''' Implement astronomical algorithms for finding solar terms and moon phases.
Full VSOP87D for calculate Sun's apparent longitude;
Full LEA-406 for calculate Moon's apparent longitude;
Truncated IAU2000B from USNO NOVAS c source is used for nutation.
Reference:
VSOP87: ftp://ftp.imcce.fr/pub/ephem/planets/vsop87
LEA-406: S. M. Kudryavtsev (2007) "Long-term harmonic development of
lunar ephemeris", Astronomy and Astrophysics 471, 1069-1075
'''
__license__ = 'BSD' __license__ = 'BSD'
__copyright__ = '2014, Chen Wei <weichen302@gmail.com>' __copyright__ = '2014, Chen Wei <weichen302@gmail.com>'
__version__ = '0.0.3' __version__ = '0.0.3'
@@ -343,7 +358,6 @@ def apparentmoon(jde, ignorenutation=False):
def apparentsun(jde, ignorenutation=False): def apparentsun(jde, ignorenutation=False):
''' calculate the apprent place of the Sun. ''' calculate the apprent place of the Sun.
TODO: use 2014-03 cunfeng as reference, i am 0°0'2.82" off, need fix
Arg: Arg:
jde as jde jde as jde
Return: Return:
@@ -364,39 +378,45 @@ def apparentsun(jde, ignorenutation=False):
return normrad(geolong) return normrad(geolong)
# the higher accuracy light abberation table from A & A.
# the first item of row is the power of time, the 3rd and 4th item are the arg
# of sin, they have been converted into radians.
LIGHTABBR_TABLE = [
[ 0, 118.568, 1.527664004990, 6283.075850600876 ],
[ 0, 2.476, 1.484508993906, 12566.151699456424 ],
[ 0, 1.376, 0.486077687339, 77713.771468687730 ],
[ 0, 0.119, 1.276490181677, 7860.419392621536 ],
[ 0, 0.114, 5.885711004647, 5753.384884566103 ],
[ 0, 0.086, 3.884055717388, 11506.769769132206 ],
[ 0, 0.078, 2.841633387025, 161000.685738008644 ],
[ 0, 0.054, 1.441333038870, 18849.227550057301 ],
[ 0, 0.052, 2.993569534399, 3930.209696310768 ],
[ 0, 0.034, 0.529208263814, 71430.695618086858 ],
[ 0, 0.033, 2.091087703461, 5884.926847413107 ],
[ 0, 0.023, 4.320419446313, 5223.693920276658 ],
[ 0, 0.023, 5.674983441420, 5507.553238331428 ],
[ 0, 0.021, 2.707426294193, 11790.629088932305 ],
[ 1, 7.311, 5.819826570714, 6283.075850600876 ],
[ 1, 0.305, 5.776715192860, 12566.151699456424 ],
[ 1, 0.010, 5.733703298774, 18849.227550057301 ],
[ 2, 0.309, 4.214128894867, 6283.075850600876 ],
[ 2, 0.021, 3.578766215288, 12566.151699456424 ],
[ 2, 0.004, 5.198655163283, 77713.771468687730 ],
[ 3, 0.010, 2.700139544566, 6283.075850600876 ],
]
def lightabbr_high(jd): def lightabbr_high(jd):
'''compute light abberation based on A & A p156 '''compute light abberation based on A & A p156
the error will be less than 0.001" the error will be less than 0.001"
''' '''
t = (jd - J2000) / 365250.0 t = (jd - J2000) / 365250.0
t2 = t * t
t3 = t * t2
# variation of the Sun's longitude # variation of the Sun's longitude
#var_lon = (3548.193 var_lon = 3548.330
var_lon = (3548.330 for r in LIGHTABBR_TABLE:
+ 118.568 * sin(math.radians( 87.5287 + 359993.7286 * t )) var_lon += t ** r[0] * r[1] * sin(r[2] + r[3] * t)
+ 2.476 * sin(math.radians( 85.0561 + 719987.4571 * t ))
+ 1.376 * sin(math.radians( 27.8502 +4452671.1152 * t ))
+ 0.119 * sin(math.radians( 73.1375 + 450368.8564 * t ))
+ 0.114 * sin(math.radians( 337.2264 + 329644.6718 * t ))
+ 0.086 * sin(math.radians( 222.5400 + 659289.3436 * t ))
+ 0.078 * sin(math.radians( 162.8136 +9224659.7915 * t ))
+ 0.054 * sin(math.radians( 82.5823 +1079981.1857 * t ))
+ 0.052 * sin(math.radians( 171.5189 + 225184.4282 * t ))
+ 0.034 * sin(math.radians( 30.3214 +4092677.3866 * t ))
+ 0.033 * sin(math.radians( 119.8105 + 337181.4711 * t ))
+ 0.023 * sin(math.radians( 247.5418 + 299295.6151 * t ))
+ 0.023 * sin(math.radians( 325.1526 + 315559.5560 * t ))
+ 0.021 * sin(math.radians( 155.1241 + 675553.2846 * t ))
+ 7.311 * t * sin(math.radians( 333.4515 + 359993.7286 * t ))
+ 0.305 * t * sin(math.radians( 330.9814 + 719987.4571 * t ))
+ 0.010 * t * sin(math.radians( 328.5170 +1079981.1857 * t ))
+ 0.309 * t2 * sin(math.radians( 241.4518 + 359993.7286 * t ))
+ 0.021 * t2 * sin(math.radians( 205.0482 + 719987.4571 * t ))
+ 0.004 * t2 * sin(math.radians( 297.8610 +4452671.1152 * t ))
+ 0.010 * t3 * sin(math.radians( 154.7066 + 359993.7286 * t ))
)
t = (jd - J2000) / 36525.0 t = (jd - J2000) / 36525.0
t2 = t * t t2 = t * t