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debian-skyfield/builders/build_arrays.py

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160 KiB
Python
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import argparse
import sys
from numpy import array, savez_compressed
def main(argv):
parser = argparse.ArgumentParser(description='Save arrays to a file')
parser.parse_args(argv)
g = globals()
savez_compressed('nutation', **{key: g[key] for key in [
'ke0_t',
'ke1',
'lunisolar_longitude_coefficients',
'lunisolar_obliquity_coefficients',
'nals_t',
'napl_t',
'nutation_coefficients_longitude',
'nutation_coefficients_obliquity',
'se0_t_0',
'se0_t_1',
]})
# ----------------------------------------------------------------------
# START of arrays that used to be inline in nutation.py
# ----------------------------------------------------------------------
# Argument coefficients for t^0.
ke0_t = array([
(0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 2, -2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 2, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 1, 2, -2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 1, 2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 1, -1, 1, 0, -8, 12, 0, 0, 0, 0, 0, 0),
(0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(1, 0, 2, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 1, -2, 2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 1, -2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, -1),
(0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(2, 0, -2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(1, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 1, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(1, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 4, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(0, 0, 2, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(1, 0, -2, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(1, 0, -2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0),
])
# Argument coefficients for t^1.
ke1 = array([0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0])
# Sine and cosine coefficients for t^0.
se0_t = array([
(+2640.96e-6, -0.39e-6),
( +63.52e-6, -0.02e-6),
( +11.75e-6, +0.01e-6),
( +11.21e-6, +0.01e-6),
( -4.55e-6, +0.00e-6),
( +2.02e-6, +0.00e-6),
( +1.98e-6, +0.00e-6),
( -1.72e-6, +0.00e-6),
( -1.41e-6, -0.01e-6),
( -1.26e-6, -0.01e-6),
( -0.63e-6, +0.00e-6),
( -0.63e-6, +0.00e-6),
( +0.46e-6, +0.00e-6),
( +0.45e-6, +0.00e-6),
( +0.36e-6, +0.00e-6),
( -0.24e-6, -0.12e-6),
( +0.32e-6, +0.00e-6),
( +0.28e-6, +0.00e-6),
( +0.27e-6, +0.00e-6),
( +0.26e-6, +0.00e-6),
( -0.21e-6, +0.00e-6),
( +0.19e-6, +0.00e-6),
( +0.18e-6, +0.00e-6),
( -0.10e-6, +0.05e-6),
( +0.15e-6, +0.00e-6),
( -0.14e-6, +0.00e-6),
( +0.14e-6, +0.00e-6),
( -0.14e-6, +0.00e-6),
( +0.14e-6, +0.00e-6),
( +0.13e-6, +0.00e-6),
( -0.11e-6, +0.00e-6),
( +0.11e-6, +0.00e-6),
( +0.11e-6, +0.00e-6),
])
se0_t_0, se0_t_1 = se0_t.T
# Luni-Solar argument multipliers:
# L L' F D Om
nals_t = array((
( 0, 0, 0, 0, 1),
( 0, 0, 2, -2, 2),
( 0, 0, 2, 0, 2),
( 0, 0, 0, 0, 2),
( 0, 1, 0, 0, 0),
( 0, 1, 2, -2, 2),
( 1, 0, 0, 0, 0),
( 0, 0, 2, 0, 1),
( 1, 0, 2, 0, 2),
( 0, -1, 2, -2, 2),
( 0, 0, 2, -2, 1),
(-1, 0, 2, 0, 2),
(-1, 0, 0, 2, 0),
( 1, 0, 0, 0, 1),
(-1, 0, 0, 0, 1),
(-1, 0, 2, 2, 2),
( 1, 0, 2, 0, 1),
(-2, 0, 2, 0, 1),
( 0, 0, 0, 2, 0),
( 0, 0, 2, 2, 2),
( 0, -2, 2, -2, 2),
(-2, 0, 0, 2, 0),
( 2, 0, 2, 0, 2),
( 1, 0, 2, -2, 2),
(-1, 0, 2, 0, 1),
( 2, 0, 0, 0, 0),
( 0, 0, 2, 0, 0),
( 0, 1, 0, 0, 1),
(-1, 0, 0, 2, 1),
( 0, 2, 2, -2, 2),
( 0, 0, -2, 2, 0),
( 1, 0, 0, -2, 1),
( 0, -1, 0, 0, 1),
(-1, 0, 2, 2, 1),
( 0, 2, 0, 0, 0),
( 1, 0, 2, 2, 2),
(-2, 0, 2, 0, 0),
( 0, 1, 2, 0, 2),
( 0, 0, 2, 2, 1),
( 0, -1, 2, 0, 2),
( 0, 0, 0, 2, 1),
( 1, 0, 2, -2, 1),
( 2, 0, 2, -2, 2),
(-2, 0, 0, 2, 1),
( 2, 0, 2, 0, 1),
( 0, -1, 2, -2, 1),
( 0, 0, 0, -2, 1),
(-1, -1, 0, 2, 0),
( 2, 0, 0, -2, 1),
( 1, 0, 0, 2, 0),
( 0, 1, 2, -2, 1),
( 1, -1, 0, 0, 0),
(-2, 0, 2, 0, 2),
( 3, 0, 2, 0, 2),
( 0, -1, 0, 2, 0),
( 1, -1, 2, 0, 2),
( 0, 0, 0, 1, 0),
(-1, -1, 2, 2, 2),
(-1, 0, 2, 0, 0),
( 0, -1, 2, 2, 2),
(-2, 0, 0, 0, 1),
( 1, 1, 2, 0, 2),
( 2, 0, 0, 0, 1),
(-1, 1, 0, 1, 0),
( 1, 1, 0, 0, 0),
( 1, 0, 2, 0, 0),
(-1, 0, 2, -2, 1),
( 1, 0, 0, 0, 2),
(-1, 0, 0, 1, 0),
( 0, 0, 2, 1, 2),
(-1, 0, 2, 4, 2),
(-1, 1, 0, 1, 1),
( 0, -2, 2, -2, 1),
( 1, 0, 2, 2, 1),
(-2, 0, 2, 2, 2),
(-1, 0, 0, 0, 2),
( 1, 1, 2, -2, 2),
(-2, 0, 2, 4, 2),
(-1, 0, 4, 0, 2),
( 2, 0, 2, -2, 1),
( 2, 0, 2, 2, 2),
( 1, 0, 0, 2, 1),
( 3, 0, 0, 0, 0),
( 3, 0, 2, -2, 2),
( 0, 0, 4, -2, 2),
( 0, 1, 2, 0, 1),
( 0, 0, -2, 2, 1),
( 0, 0, 2, -2, 3),
(-1, 0, 0, 4, 0),
( 2, 0, -2, 0, 1),
(-2, 0, 0, 4, 0),
(-1, -1, 0, 2, 1),
(-1, 0, 0, 1, 1),
( 0, 1, 0, 0, 2),
( 0, 0, -2, 0, 1),
( 0, -1, 2, 0, 1),
( 0, 0, 2, -1, 2),
( 0, 0, 2, 4, 2),
(-2, -1, 0, 2, 0),
( 1, 1, 0, -2, 1),
(-1, 1, 0, 2, 0),
(-1, 1, 0, 1, 2),
( 1, -1, 0, 0, 1),
( 1, -1, 2, 2, 2),
(-1, 1, 2, 2, 2),
( 3, 0, 2, 0, 1),
( 0, 1, -2, 2, 0),
(-1, 0, 0, -2, 1),
( 0, 1, 2, 2, 2),
(-1, -1, 2, 2, 1),
( 0, -1, 0, 0, 2),
( 1, 0, 2, -4, 1),
(-1, 0, -2, 2, 0),
( 0, -1, 2, 2, 1),
( 2, -1, 2, 0, 2),
( 0, 0, 0, 2, 2),
( 1, -1, 2, 0, 1),
(-1, 1, 2, 0, 2),
( 0, 1, 0, 2, 0),
( 0, -1, -2, 2, 0),
( 0, 3, 2, -2, 2),
( 0, 0, 0, 1, 1),
(-1, 0, 2, 2, 0),
( 2, 1, 2, 0, 2),
( 1, 1, 0, 0, 1),
( 1, 1, 2, 0, 1),
( 2, 0, 0, 2, 0),
( 1, 0, -2, 2, 0),
(-1, 0, 0, 2, 2),
( 0, 1, 0, 1, 0),
( 0, 1, 0, -2, 1),
(-1, 0, 2, -2, 2),
( 0, 0, 0, -1, 1),
(-1, 1, 0, 0, 1),
( 1, 0, 2, -1, 2),
( 1, -1, 0, 2, 0),
( 0, 0, 0, 4, 0),
( 1, 0, 2, 1, 2),
( 0, 0, 2, 1, 1),
( 1, 0, 0, -2, 2),
(-1, 0, 2, 4, 1),
( 1, 0, -2, 0, 1),
( 1, 1, 2, -2, 1),
( 0, 0, 2, 2, 0),
(-1, 0, 2, -1, 1),
(-2, 0, 2, 2, 1),
( 4, 0, 2, 0, 2),
( 2, -1, 0, 0, 0),
( 2, 1, 2, -2, 2),
( 0, 1, 2, 1, 2),
( 1, 0, 4, -2, 2),
(-1, -1, 0, 0, 1),
( 0, 1, 0, 2, 1),
(-2, 0, 2, 4, 1),
( 2, 0, 2, 0, 0),
( 1, 0, 0, 1, 0),
(-1, 0, 0, 4, 1),
(-1, 0, 4, 0, 1),
( 2, 0, 2, 2, 1),
( 0, 0, 2, -3, 2),
(-1, -2, 0, 2, 0),
( 2, 1, 0, 0, 0),
( 0, 0, 4, 0, 2),
( 0, 0, 0, 0, 3),
( 0, 3, 0, 0, 0),
( 0, 0, 2, -4, 1),
( 0, -1, 0, 2, 1),
( 0, 0, 0, 4, 1),
(-1, -1, 2, 4, 2),
( 1, 0, 2, 4, 2),
(-2, 2, 0, 2, 0),
(-2, -1, 2, 0, 1),
(-2, 0, 0, 2, 2),
(-1, -1, 2, 0, 2),
( 0, 0, 4, -2, 1),
( 3, 0, 2, -2, 1),
(-2, -1, 0, 2, 1),
( 1, 0, 0, -1, 1),
( 0, -2, 0, 2, 0),
(-2, 0, 0, 4, 1),
(-3, 0, 0, 0, 1),
( 1, 1, 2, 2, 2),
( 0, 0, 2, 4, 1),
( 3, 0, 2, 2, 2),
(-1, 1, 2, -2, 1),
( 2, 0, 0, -4, 1),
( 0, 0, 0, -2, 2),
( 2, 0, 2, -4, 1),
(-1, 1, 0, 2, 1),
( 0, 0, 2, -1, 1),
( 0, -2, 2, 2, 2),
( 2, 0, 0, 2, 1),
( 4, 0, 2, -2, 2),
( 2, 0, 0, -2, 2),
( 0, 2, 0, 0, 1),
( 1, 0, 0, -4, 1),
( 0, 2, 2, -2, 1),
(-3, 0, 0, 4, 0),
(-1, 1, 2, 0, 1),
(-1, -1, 0, 4, 0),
(-1, -2, 2, 2, 2),
(-2, -1, 2, 4, 2),
( 1, -1, 2, 2, 1),
(-2, 1, 0, 2, 0),
(-2, 1, 2, 0, 1),
( 2, 1, 0, -2, 1),
(-3, 0, 2, 0, 1),
(-2, 0, 2, -2, 1),
(-1, 1, 0, 2, 2),
( 0, -1, 2, -1, 2),
(-1, 0, 4, -2, 2),
( 0, -2, 2, 0, 2),
(-1, 0, 2, 1, 2),
( 2, 0, 0, 0, 2),
( 0, 0, 2, 0, 3),
(-2, 0, 4, 0, 2),
(-1, 0, -2, 0, 1),
(-1, 1, 2, 2, 1),
( 3, 0, 0, 0, 1),
(-1, 0, 2, 3, 2),
( 2, -1, 2, 0, 1),
( 0, 1, 2, 2, 1),
( 0, -1, 2, 4, 2),
( 2, -1, 2, 2, 2),
( 0, 2, -2, 2, 0),
(-1, -1, 2, -1, 1),
( 0, -2, 0, 0, 1),
( 1, 0, 2, -4, 2),
( 1, -1, 0, -2, 1),
(-1, -1, 2, 0, 1),
( 1, -1, 2, -2, 2),
(-2, -1, 0, 4, 0),
(-1, 0, 0, 3, 0),
(-2, -1, 2, 2, 2),
( 0, 2, 2, 0, 2),
( 1, 1, 0, 2, 0),
( 2, 0, 2, -1, 2),
( 1, 0, 2, 1, 1),
( 4, 0, 0, 0, 0),
( 2, 1, 2, 0, 1),
( 3, -1, 2, 0, 2),
(-2, 2, 0, 2, 1),
( 1, 0, 2, -3, 1),
( 1, 1, 2, -4, 1),
(-1, -1, 2, -2, 1),
( 0, -1, 0, -1, 1),
( 0, -1, 0, -2, 1),
(-2, 0, 0, 0, 2),
(-2, 0, -2, 2, 0),
(-1, 0, -2, 4, 0),
( 1, -2, 0, 0, 0),
( 0, 1, 0, 1, 1),
(-1, 2, 0, 2, 0),
( 1, -1, 2, -2, 1),
( 1, 2, 2, -2, 2),
( 2, -1, 2, -2, 2),
( 1, 0, 2, -1, 1),
( 2, 1, 2, -2, 1),
(-2, 0, 0, -2, 1),
( 1, -2, 2, 0, 2),
( 0, 1, 2, 1, 1),
( 1, 0, 4, -2, 1),
(-2, 0, 4, 2, 2),
( 1, 1, 2, 1, 2),
( 1, 0, 0, 4, 0),
( 1, 0, 2, 2, 0),
( 2, 0, 2, 1, 2),
( 3, 1, 2, 0, 2),
( 4, 0, 2, 0, 1),
(-2, -1, 2, 0, 0),
( 0, 1, -2, 2, 1),
( 1, 0, -2, 1, 0),
( 0, -1, -2, 2, 1),
( 2, -1, 0, -2, 1),
(-1, 0, 2, -1, 2),
( 1, 0, 2, -3, 2),
( 0, 1, 2, -2, 3),
( 0, 0, 2, -3, 1),
(-1, 0, -2, 2, 1),
( 0, 0, 2, -4, 2),
(-2, 1, 0, 0, 1),
(-1, 0, 0, -1, 1),
( 2, 0, 2, -4, 2),
( 0, 0, 4, -4, 4),
( 0, 0, 4, -4, 2),
(-1, -2, 0, 2, 1),
(-2, 0, 0, 3, 0),
( 1, 0, -2, 2, 1),
(-3, 0, 2, 2, 2),
(-3, 0, 2, 2, 1),
(-2, 0, 2, 2, 0),
( 2, -1, 0, 0, 1),
(-2, 1, 2, 2, 2),
( 1, 1, 0, 1, 0),
( 0, 1, 4, -2, 2),
(-1, 1, 0, -2, 1),
( 0, 0, 0, -4, 1),
( 1, -1, 0, 2, 1),
( 1, 1, 0, 2, 1),
(-1, 2, 2, 2, 2),
( 3, 1, 2, -2, 2),
( 0, -1, 0, 4, 0),
( 2, -1, 0, 2, 0),
( 0, 0, 4, 0, 1),
( 2, 0, 4, -2, 2),
(-1, -1, 2, 4, 1),
( 1, 0, 0, 4, 1),
( 1, -2, 2, 2, 2),
( 0, 0, 2, 3, 2),
(-1, 1, 2, 4, 2),
( 3, 0, 0, 2, 0),
(-1, 0, 4, 2, 2),
( 1, 1, 2, 2, 1),
(-2, 0, 2, 6, 2),
( 2, 1, 2, 2, 2),
(-1, 0, 2, 6, 2),
( 1, 0, 2, 4, 1),
( 2, 0, 2, 4, 2),
( 1, 1, -2, 1, 0),
(-3, 1, 2, 1, 2),
( 2, 0, -2, 0, 2),
(-1, 0, 0, 1, 2),
(-4, 0, 2, 2, 1),
(-1, -1, 0, 1, 0),
( 0, 0, -2, 2, 2),
( 1, 0, 0, -1, 2),
( 0, -1, 2, -2, 3),
(-2, 1, 2, 0, 0),
( 0, 0, 2, -2, 4),
(-2, -2, 0, 2, 0),
(-2, 0, -2, 4, 0),
( 0, -2, -2, 2, 0),
( 1, 2, 0, -2, 1),
( 3, 0, 0, -4, 1),
(-1, 1, 2, -2, 2),
( 1, -1, 2, -4, 1),
( 1, 1, 0, -2, 2),
(-3, 0, 2, 0, 0),
(-3, 0, 2, 0, 2),
(-2, 0, 0, 1, 0),
( 0, 0, -2, 1, 0),
(-3, 0, 0, 2, 1),
(-1, -1, -2, 2, 0),
( 0, 1, 2, -4, 1),
( 2, 1, 0, -4, 1),
( 0, 2, 0, -2, 1),
( 1, 0, 0, -3, 1),
(-2, 0, 2, -2, 2),
(-2, -1, 0, 0, 1),
(-4, 0, 0, 2, 0),
( 1, 1, 0, -4, 1),
(-1, 0, 2, -4, 1),
( 0, 0, 4, -4, 1),
( 0, 3, 2, -2, 2),
(-3, -1, 0, 4, 0),
(-3, 0, 0, 4, 1),
( 1, -1, -2, 2, 0),
(-1, -1, 0, 2, 2),
( 1, -2, 0, 0, 1),
( 1, -1, 0, 0, 2),
( 0, 0, 0, 1, 2),
(-1, -1, 2, 0, 0),
( 1, -2, 2, -2, 2),
( 0, -1, 2, -1, 1),
(-1, 0, 2, 0, 3),
( 1, 1, 0, 0, 2),
(-1, 1, 2, 0, 0),
( 1, 2, 0, 0, 0),
(-1, 2, 2, 0, 2),
(-1, 0, 4, -2, 1),
( 3, 0, 2, -4, 2),
( 1, 2, 2, -2, 1),
( 1, 0, 4, -4, 2),
(-2, -1, 0, 4, 1),
( 0, -1, 0, 2, 2),
(-2, 1, 0, 4, 0),
(-2, -1, 2, 2, 1),
( 2, 0, -2, 2, 0),
( 1, 0, 0, 1, 1),
( 0, 1, 0, 2, 2),
( 1, -1, 2, -1, 2),
(-2, 0, 4, 0, 1),
( 2, 1, 0, 0, 1),
( 0, 1, 2, 0, 0),
( 0, -1, 4, -2, 2),
( 0, 0, 4, -2, 4),
( 0, 2, 2, 0, 1),
(-3, 0, 0, 6, 0),
(-1, -1, 0, 4, 1),
( 1, -2, 0, 2, 0),
(-1, 0, 0, 4, 2),
(-1, -2, 2, 2, 1),
(-1, 0, 0, -2, 2),
( 1, 0, -2, -2, 1),
( 0, 0, -2, -2, 1),
(-2, 0, -2, 0, 1),
( 0, 0, 0, 3, 1),
( 0, 0, 0, 3, 0),
(-1, 1, 0, 4, 0),
(-1, -1, 2, 2, 0),
(-2, 0, 2, 3, 2),
( 1, 0, 0, 2, 2),
( 0, -1, 2, 1, 2),
( 3, -1, 0, 0, 0),
( 2, 0, 0, 1, 0),
( 1, -1, 2, 0, 0),
( 0, 0, 2, 1, 0),
( 1, 0, 2, 0, 3),
( 3, 1, 0, 0, 0),
( 3, -1, 2, -2, 2),
( 2, 0, 2, -1, 1),
( 1, 1, 2, 0, 0),
( 0, 0, 4, -1, 2),
( 1, 2, 2, 0, 2),
(-2, 0, 0, 6, 0),
( 0, -1, 0, 4, 1),
(-2, -1, 2, 4, 1),
( 0, -2, 2, 2, 1),
( 0, -1, 2, 2, 0),
(-1, 0, 2, 3, 1),
(-2, 1, 2, 4, 2),
( 2, 0, 0, 2, 2),
( 2, -2, 2, 0, 2),
(-1, 1, 2, 3, 2),
( 3, 0, 2, -1, 2),
( 4, 0, 2, -2, 1),
(-1, 0, 0, 6, 0),
(-1, -2, 2, 4, 2),
(-3, 0, 2, 6, 2),
(-1, 0, 2, 4, 0),
( 3, 0, 0, 2, 1),
( 3, -1, 2, 0, 1),
( 3, 0, 2, 0, 0),
( 1, 0, 4, 0, 2),
( 5, 0, 2, -2, 2),
( 0, -1, 2, 4, 1),
( 2, -1, 2, 2, 1),
( 0, 1, 2, 4, 2),
( 1, -1, 2, 4, 2),
( 3, -1, 2, 2, 2),
( 3, 0, 2, 2, 1),
( 5, 0, 2, 0, 2),
( 0, 0, 2, 6, 2),
( 4, 0, 2, 2, 2),
( 0, -1, 1, -1, 1),
(-1, 0, 1, 0, 3),
( 0, -2, 2, -2, 3),
( 1, 0, -1, 0, 1),
( 2, -2, 0, -2, 1),
(-1, 0, 1, 0, 2),
(-1, 0, 1, 0, 1),
(-1, -1, 2, -1, 2),
(-2, 2, 0, 2, 2),
(-1, 0, 1, 0, 0),
(-4, 1, 2, 2, 2),
(-3, 0, 2, 1, 1),
(-2, -1, 2, 0, 2),
( 1, 0, -2, 1, 1),
( 2, -1, -2, 0, 1),
(-4, 0, 2, 2, 0),
(-3, 1, 0, 3, 0),
(-1, 0, -1, 2, 0),
( 0, -2, 0, 0, 2),
( 0, -2, 0, 0, 2),
(-3, 0, 0, 3, 0),
(-2, -1, 0, 2, 2),
(-1, 0, -2, 3, 0),
(-4, 0, 0, 4, 0),
( 2, 1, -2, 0, 1),
( 2, -1, 0, -2, 2),
( 0, 0, 1, -1, 0),
(-1, 2, 0, 1, 0),
(-2, 1, 2, 0, 2),
( 1, 1, 0, -1, 1),
( 1, 0, 1, -2, 1),
( 0, 2, 0, 0, 2),
( 1, -1, 2, -3, 1),
(-1, 1, 2, -1, 1),
(-2, 0, 4, -2, 2),
(-2, 0, 4, -2, 1),
(-2, -2, 0, 2, 1),
(-2, 0, -2, 4, 0),
( 1, 2, 2, -4, 1),
( 1, 1, 2, -4, 2),
(-1, 2, 2, -2, 1),
( 2, 0, 0, -3, 1),
(-1, 2, 0, 0, 1),
( 0, 0, 0, -2, 0),
(-1, -1, 2, -2, 2),
(-1, 1, 0, 0, 2),
( 0, 0, 0, -1, 2),
(-2, 1, 0, 1, 0),
( 1, -2, 0, -2, 1),
( 1, 0, -2, 0, 2),
(-3, 1, 0, 2, 0),
(-1, 1, -2, 2, 0),
(-1, -1, 0, 0, 2),
(-3, 0, 0, 2, 0),
(-3, -1, 0, 2, 0),
( 2, 0, 2, -6, 1),
( 0, 1, 2, -4, 2),
( 2, 0, 0, -4, 2),
(-2, 1, 2, -2, 1),
( 0, -1, 2, -4, 1),
( 0, 1, 0, -2, 2),
(-1, 0, 0, -2, 0),
( 2, 0, -2, -2, 1),
(-4, 0, 2, 0, 1),
(-1, -1, 0, -1, 1),
( 0, 0, -2, 0, 2),
(-3, 0, 0, 1, 0),
(-1, 0, -2, 1, 0),
(-2, 0, -2, 2, 1),
( 0, 0, -4, 2, 0),
(-2, -1, -2, 2, 0),
( 1, 0, 2, -6, 1),
(-1, 0, 2, -4, 2),
( 1, 0, 0, -4, 2),
( 2, 1, 2, -4, 2),
( 2, 1, 2, -4, 1),
( 0, 1, 4, -4, 4),
( 0, 1, 4, -4, 2),
(-1, -1, -2, 4, 0),
(-1, -3, 0, 2, 0),
(-1, 0, -2, 4, 1),
(-2, -1, 0, 3, 0),
( 0, 0, -2, 3, 0),
(-2, 0, 0, 3, 1),
( 0, -1, 0, 1, 0),
(-3, 0, 2, 2, 0),
( 1, 1, -2, 2, 0),
(-1, 1, 0, 2, 2),
( 1, -2, 2, -2, 1),
( 0, 0, 1, 0, 2),
( 0, 0, 1, 0, 1),
( 0, 0, 1, 0, 0),
(-1, 2, 0, 2, 1),
( 0, 0, 2, 0, 2),
(-2, 0, 2, 0, 2),
( 2, 0, 0, -1, 1),
( 3, 0, 0, -2, 1),
( 1, 0, 2, -2, 3),
( 1, 2, 0, 0, 1),
( 2, 0, 2, -3, 2),
(-1, 1, 4, -2, 2),
(-2, -2, 0, 4, 0),
( 0, -3, 0, 2, 0),
( 0, 0, -2, 4, 0),
(-1, -1, 0, 3, 0),
(-2, 0, 0, 4, 2),
(-1, 0, 0, 3, 1),
( 2, -2, 0, 0, 0),
( 1, -1, 0, 1, 0),
(-1, 0, 0, 2, 0),
( 0, -2, 2, 0, 1),
(-1, 0, 1, 2, 1),
(-1, 1, 0, 3, 0),
(-1, -1, 2, 1, 2),
( 0, -1, 2, 0, 0),
(-2, 1, 2, 2, 1),
( 2, -2, 2, -2, 2),
( 1, 1, 0, 1, 1),
( 1, 0, 1, 0, 1),
( 1, 0, 1, 0, 0),
( 0, 2, 0, 2, 0),
( 2, -1, 2, -2, 1),
( 0, -1, 4, -2, 1),
( 0, 0, 4, -2, 3),
( 0, 1, 4, -2, 1),
( 4, 0, 2, -4, 2),
( 2, 2, 2, -2, 2),
( 2, 0, 4, -4, 2),
(-1, -2, 0, 4, 0),
(-1, -3, 2, 2, 2),
(-3, 0, 2, 4, 2),
(-3, 0, 2, -2, 1),
(-1, -1, 0, -2, 1),
(-3, 0, 0, 0, 2),
(-3, 0, -2, 2, 0),
( 0, 1, 0, -4, 1),
(-2, 1, 0, -2, 1),
(-4, 0, 0, 0, 1),
(-1, 0, 0, -4, 1),
(-3, 0, 0, -2, 1),
( 0, 0, 0, 3, 2),
(-1, 1, 0, 4, 1),
( 1, -2, 2, 0, 1),
( 0, 1, 0, 3, 0),
(-1, 0, 2, 2, 3),
( 0, 0, 2, 2, 2),
(-2, 0, 2, 2, 2),
(-1, 1, 2, 2, 0),
( 3, 0, 0, 0, 2),
( 2, 1, 0, 1, 0),
( 2, -1, 2, -1, 2),
( 0, 0, 2, 0, 1),
( 0, 0, 3, 0, 3),
( 0, 0, 3, 0, 2),
(-1, 2, 2, 2, 1),
(-1, 0, 4, 0, 0),
( 1, 2, 2, 0, 1),
( 3, 1, 2, -2, 1),
( 1, 1, 4, -2, 2),
(-2, -1, 0, 6, 0),
( 0, -2, 0, 4, 0),
(-2, 0, 0, 6, 1),
(-2, -2, 2, 4, 2),
( 0, -3, 2, 2, 2),
( 0, 0, 0, 4, 2),
(-1, -1, 2, 3, 2),
(-2, 0, 2, 4, 0),
( 2, -1, 0, 2, 1),
( 1, 0, 0, 3, 0),
( 0, 1, 0, 4, 1),
( 0, 1, 0, 4, 0),
( 1, -1, 2, 1, 2),
( 0, 0, 2, 2, 3),
( 1, 0, 2, 2, 2),
(-1, 0, 2, 2, 2),
(-2, 0, 4, 2, 1),
( 2, 1, 0, 2, 1),
( 2, 1, 0, 2, 0),
( 2, -1, 2, 0, 0),
( 1, 0, 2, 1, 0),
( 0, 1, 2, 2, 0),
( 2, 0, 2, 0, 3),
( 3, 0, 2, 0, 2),
( 1, 0, 2, 0, 2),
( 1, 0, 3, 0, 3),
( 1, 1, 2, 1, 1),
( 0, 2, 2, 2, 2),
( 2, 1, 2, 0, 0),
( 2, 0, 4, -2, 1),
( 4, 1, 2, -2, 2),
(-1, -1, 0, 6, 0),
(-3, -1, 2, 6, 2),
(-1, 0, 0, 6, 1),
(-3, 0, 2, 6, 1),
( 1, -1, 0, 4, 1),
( 1, -1, 0, 4, 0),
(-2, 0, 2, 5, 2),
( 1, -2, 2, 2, 1),
( 3, -1, 0, 2, 0),
( 1, -1, 2, 2, 0),
( 0, 0, 2, 3, 1),
(-1, 1, 2, 4, 1),
( 0, 1, 2, 3, 2),
(-1, 0, 4, 2, 1),
( 2, 0, 2, 1, 1),
( 5, 0, 0, 0, 0),
( 2, 1, 2, 1, 2),
( 1, 0, 4, 0, 1),
( 3, 1, 2, 0, 1),
( 3, 0, 4, -2, 2),
(-2, -1, 2, 6, 2),
( 0, 0, 0, 6, 0),
( 0, -2, 2, 4, 2),
(-2, 0, 2, 6, 1),
( 2, 0, 0, 4, 1),
( 2, 0, 0, 4, 0),
( 2, -2, 2, 2, 2),
( 0, 0, 2, 4, 0),
( 1, 0, 2, 3, 2),
( 4, 0, 0, 2, 0),
( 2, 0, 2, 2, 0),
( 0, 0, 4, 2, 2),
( 4, -1, 2, 0, 2),
( 3, 0, 2, 1, 2),
( 2, 1, 2, 2, 1),
( 4, 1, 2, 0, 2),
(-1, -1, 2, 6, 2),
(-1, 0, 2, 6, 1),
( 1, -1, 2, 4, 1),
( 1, 1, 2, 4, 2),
( 3, 1, 2, 2, 2),
( 5, 0, 2, 0, 1),
( 2, -1, 2, 4, 2),
( 2, 0, 2, 4, 1),
))
# Luni-Solar nutation coefficients, unit 1e-7 arcsec:
# longitude (sin, t*sin, cos), obliquity (cos, t*cos, sin)
# Each row of coefficients belongs with the corresponding row of
# fundamental-argument multipliers in 'nals_t'.
lunisolar_coefficients = array((
(-172064161.0, -174666.0, 33386.0, 92052331.0, 9086.0, 15377.0),
( -13170906.0, -1675.0, -13696.0, 5730336.0, -3015.0, -4587.0),
( -2276413.0, -234.0, 2796.0, 978459.0, -485.0, 1374.0),
( 2074554.0, 207.0, -698.0, -897492.0, 470.0, -291.0),
( 1475877.0, -3633.0, 11817.0, 73871.0, -184.0, -1924.0),
( -516821.0, 1226.0, -524.0, 224386.0, -677.0, -174.0),
( 711159.0, 73.0, -872.0, -6750.0, 0.0, 358.0),
( -387298.0, -367.0, 380.0, 200728.0, 18.0, 318.0),
( -301461.0, -36.0, 816.0, 129025.0, -63.0, 367.0),
( 215829.0, -494.0, 111.0, -95929.0, 299.0, 132.0),
( 128227.0, 137.0, 181.0, -68982.0, -9.0, 39.0),
( 123457.0, 11.0, 19.0, -53311.0, 32.0, -4.0),
( 156994.0, 10.0, -168.0, -1235.0, 0.0, 82.0),
( 63110.0, 63.0, 27.0, -33228.0, 0.0, -9.0),
( -57976.0, -63.0, -189.0, 31429.0, 0.0, -75.0),
( -59641.0, -11.0, 149.0, 25543.0, -11.0, 66.0),
( -51613.0, -42.0, 129.0, 26366.0, 0.0, 78.0),
( 45893.0, 50.0, 31.0, -24236.0, -10.0, 20.0),
( 63384.0, 11.0, -150.0, -1220.0, 0.0, 29.0),
( -38571.0, -1.0, 158.0, 16452.0, -11.0, 68.0),
( 32481.0, 0.0, 0.0, -13870.0, 0.0, 0.0),
( -47722.0, 0.0, -18.0, 477.0, 0.0, -25.0),
( -31046.0, -1.0, 131.0, 13238.0, -11.0, 59.0),
( 28593.0, 0.0, -1.0, -12338.0, 10.0, -3.0),
( 20441.0, 21.0, 10.0, -10758.0, 0.0, -3.0),
( 29243.0, 0.0, -74.0, -609.0, 0.0, 13.0),
( 25887.0, 0.0, -66.0, -550.0, 0.0, 11.0),
( -14053.0, -25.0, 79.0, 8551.0, -2.0, -45.0),
( 15164.0, 10.0, 11.0, -8001.0, 0.0, -1.0),
( -15794.0, 72.0, -16.0, 6850.0, -42.0, -5.0),
( 21783.0, 0.0, 13.0, -167.0, 0.0, 13.0),
( -12873.0, -10.0, -37.0, 6953.0, 0.0, -14.0),
( -12654.0, 11.0, 63.0, 6415.0, 0.0, 26.0),
( -10204.0, 0.0, 25.0, 5222.0, 0.0, 15.0),
( 16707.0, -85.0, -10.0, 168.0, -1.0, 10.0),
( -7691.0, 0.0, 44.0, 3268.0, 0.0, 19.0),
( -11024.0, 0.0, -14.0, 104.0, 0.0, 2.0),
( 7566.0, -21.0, -11.0, -3250.0, 0.0, -5.0),
( -6637.0, -11.0, 25.0, 3353.0, 0.0, 14.0),
( -7141.0, 21.0, 8.0, 3070.0, 0.0, 4.0),
( -6302.0, -11.0, 2.0, 3272.0, 0.0, 4.0),
( 5800.0, 10.0, 2.0, -3045.0, 0.0, -1.0),
( 6443.0, 0.0, -7.0, -2768.0, 0.0, -4.0),
( -5774.0, -11.0, -15.0, 3041.0, 0.0, -5.0),
( -5350.0, 0.0, 21.0, 2695.0, 0.0, 12.0),
( -4752.0, -11.0, -3.0, 2719.0, 0.0, -3.0),
( -4940.0, -11.0, -21.0, 2720.0, 0.0, -9.0),
( 7350.0, 0.0, -8.0, -51.0, 0.0, 4.0),
( 4065.0, 0.0, 6.0, -2206.0, 0.0, 1.0),
( 6579.0, 0.0, -24.0, -199.0, 0.0, 2.0),
( 3579.0, 0.0, 5.0, -1900.0, 0.0, 1.0),
( 4725.0, 0.0, -6.0, -41.0, 0.0, 3.0),
( -3075.0, 0.0, -2.0, 1313.0, 0.0, -1.0),
( -2904.0, 0.0, 15.0, 1233.0, 0.0, 7.0),
( 4348.0, 0.0, -10.0, -81.0, 0.0, 2.0),
( -2878.0, 0.0, 8.0, 1232.0, 0.0, 4.0),
( -4230.0, 0.0, 5.0, -20.0, 0.0, -2.0),
( -2819.0, 0.0, 7.0, 1207.0, 0.0, 3.0),
( -4056.0, 0.0, 5.0, 40.0, 0.0, -2.0),
( -2647.0, 0.0, 11.0, 1129.0, 0.0, 5.0),
( -2294.0, 0.0, -10.0, 1266.0, 0.0, -4.0),
( 2481.0, 0.0, -7.0, -1062.0, 0.0, -3.0),
( 2179.0, 0.0, -2.0, -1129.0, 0.0, -2.0),
( 3276.0, 0.0, 1.0, -9.0, 0.0, 0.0),
( -3389.0, 0.0, 5.0, 35.0, 0.0, -2.0),
( 3339.0, 0.0, -13.0, -107.0, 0.0, 1.0),
( -1987.0, 0.0, -6.0, 1073.0, 0.0, -2.0),
( -1981.0, 0.0, 0.0, 854.0, 0.0, 0.0),
( 4026.0, 0.0, -353.0, -553.0, 0.0, -139.0),
( 1660.0, 0.0, -5.0, -710.0, 0.0, -2.0),
( -1521.0, 0.0, 9.0, 647.0, 0.0, 4.0),
( 1314.0, 0.0, 0.0, -700.0, 0.0, 0.0),
( -1283.0, 0.0, 0.0, 672.0, 0.0, 0.0),
( -1331.0, 0.0, 8.0, 663.0, 0.0, 4.0),
( 1383.0, 0.0, -2.0, -594.0, 0.0, -2.0),
( 1405.0, 0.0, 4.0, -610.0, 0.0, 2.0),
( 1290.0, 0.0, 0.0, -556.0, 0.0, 0.0),
( -1214.0, 0.0, 5.0, 518.0, 0.0, 2.0),
( 1146.0, 0.0, -3.0, -490.0, 0.0, -1.0),
( 1019.0, 0.0, -1.0, -527.0, 0.0, -1.0),
( -1100.0, 0.0, 9.0, 465.0, 0.0, 4.0),
( -970.0, 0.0, 2.0, 496.0, 0.0, 1.0),
( 1575.0, 0.0, -6.0, -50.0, 0.0, 0.0),
( 934.0, 0.0, -3.0, -399.0, 0.0, -1.0),
( 922.0, 0.0, -1.0, -395.0, 0.0, -1.0),
( 815.0, 0.0, -1.0, -422.0, 0.0, -1.0),
( 834.0, 0.0, 2.0, -440.0, 0.0, 1.0),
( 1248.0, 0.0, 0.0, -170.0, 0.0, 1.0),
( 1338.0, 0.0, -5.0, -39.0, 0.0, 0.0),
( 716.0, 0.0, -2.0, -389.0, 0.0, -1.0),
( 1282.0, 0.0, -3.0, -23.0, 0.0, 1.0),
( 742.0, 0.0, 1.0, -391.0, 0.0, 0.0),
( 1020.0, 0.0, -25.0, -495.0, 0.0, -10.0),
( 715.0, 0.0, -4.0, -326.0, 0.0, 2.0),
( -666.0, 0.0, -3.0, 369.0, 0.0, -1.0),
( -667.0, 0.0, 1.0, 346.0, 0.0, 1.0),
( -704.0, 0.0, 0.0, 304.0, 0.0, 0.0),
( -694.0, 0.0, 5.0, 294.0, 0.0, 2.0),
( -1014.0, 0.0, -1.0, 4.0, 0.0, -1.0),
( -585.0, 0.0, -2.0, 316.0, 0.0, -1.0),
( -949.0, 0.0, 1.0, 8.0, 0.0, -1.0),
( -595.0, 0.0, 0.0, 258.0, 0.0, 0.0),
( 528.0, 0.0, 0.0, -279.0, 0.0, 0.0),
( -590.0, 0.0, 4.0, 252.0, 0.0, 2.0),
( 570.0, 0.0, -2.0, -244.0, 0.0, -1.0),
( -502.0, 0.0, 3.0, 250.0, 0.0, 2.0),
( -875.0, 0.0, 1.0, 29.0, 0.0, 0.0),
( -492.0, 0.0, -3.0, 275.0, 0.0, -1.0),
( 535.0, 0.0, -2.0, -228.0, 0.0, -1.0),
( -467.0, 0.0, 1.0, 240.0, 0.0, 1.0),
( 591.0, 0.0, 0.0, -253.0, 0.0, 0.0),
( -453.0, 0.0, -1.0, 244.0, 0.0, -1.0),
( 766.0, 0.0, 1.0, 9.0, 0.0, 0.0),
( -446.0, 0.0, 2.0, 225.0, 0.0, 1.0),
( -488.0, 0.0, 2.0, 207.0, 0.0, 1.0),
( -468.0, 0.0, 0.0, 201.0, 0.0, 0.0),
( -421.0, 0.0, 1.0, 216.0, 0.0, 1.0),
( 463.0, 0.0, 0.0, -200.0, 0.0, 0.0),
( -673.0, 0.0, 2.0, 14.0, 0.0, 0.0),
( 658.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -438.0, 0.0, 0.0, 188.0, 0.0, 0.0),
( -390.0, 0.0, 0.0, 205.0, 0.0, 0.0),
( 639.0, -11.0, -2.0, -19.0, 0.0, 0.0),
( 412.0, 0.0, -2.0, -176.0, 0.0, -1.0),
( -361.0, 0.0, 0.0, 189.0, 0.0, 0.0),
( 360.0, 0.0, -1.0, -185.0, 0.0, -1.0),
( 588.0, 0.0, -3.0, -24.0, 0.0, 0.0),
( -578.0, 0.0, 1.0, 5.0, 0.0, 0.0),
( -396.0, 0.0, 0.0, 171.0, 0.0, 0.0),
( 565.0, 0.0, -1.0, -6.0, 0.0, 0.0),
( -335.0, 0.0, -1.0, 184.0, 0.0, -1.0),
( 357.0, 0.0, 1.0, -154.0, 0.0, 0.0),
( 321.0, 0.0, 1.0, -174.0, 0.0, 0.0),
( -301.0, 0.0, -1.0, 162.0, 0.0, 0.0),
( -334.0, 0.0, 0.0, 144.0, 0.0, 0.0),
( 493.0, 0.0, -2.0, -15.0, 0.0, 0.0),
( 494.0, 0.0, -2.0, -19.0, 0.0, 0.0),
( 337.0, 0.0, -1.0, -143.0, 0.0, -1.0),
( 280.0, 0.0, -1.0, -144.0, 0.0, 0.0),
( 309.0, 0.0, 1.0, -134.0, 0.0, 0.0),
( -263.0, 0.0, 2.0, 131.0, 0.0, 1.0),
( 253.0, 0.0, 1.0, -138.0, 0.0, 0.0),
( 245.0, 0.0, 0.0, -128.0, 0.0, 0.0),
( 416.0, 0.0, -2.0, -17.0, 0.0, 0.0),
( -229.0, 0.0, 0.0, 128.0, 0.0, 0.0),
( 231.0, 0.0, 0.0, -120.0, 0.0, 0.0),
( -259.0, 0.0, 2.0, 109.0, 0.0, 1.0),
( 375.0, 0.0, -1.0, -8.0, 0.0, 0.0),
( 252.0, 0.0, 0.0, -108.0, 0.0, 0.0),
( -245.0, 0.0, 1.0, 104.0, 0.0, 0.0),
( 243.0, 0.0, -1.0, -104.0, 0.0, 0.0),
( 208.0, 0.0, 1.0, -112.0, 0.0, 0.0),
( 199.0, 0.0, 0.0, -102.0, 0.0, 0.0),
( -208.0, 0.0, 1.0, 105.0, 0.0, 0.0),
( 335.0, 0.0, -2.0, -14.0, 0.0, 0.0),
( -325.0, 0.0, 1.0, 7.0, 0.0, 0.0),
( -187.0, 0.0, 0.0, 96.0, 0.0, 0.0),
( 197.0, 0.0, -1.0, -100.0, 0.0, 0.0),
( -192.0, 0.0, 2.0, 94.0, 0.0, 1.0),
( -188.0, 0.0, 0.0, 83.0, 0.0, 0.0),
( 276.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -286.0, 0.0, 1.0, 6.0, 0.0, 0.0),
( 186.0, 0.0, -1.0, -79.0, 0.0, 0.0),
( -219.0, 0.0, 0.0, 43.0, 0.0, 0.0),
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( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 0.0, 0.0, 330.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 0.0, 0.0, 5.0, 0.0, 0.0, 0.0),
( 0.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -12.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( 7.0, 0.0, 0.0, -4.0, 0.0, 0.0),
( 0.0, 0.0, -12.0, 0.0, 0.0, -10.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( 0.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( 7.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -8.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( 9.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 9.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 9.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 8.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 9.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( -13.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 10.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( 10.0, 0.0, 13.0, 6.0, 0.0, -5.0),
( 0.0, 0.0, 30.0, 0.0, 0.0, 14.0),
( 0.0, 0.0, -162.0, 0.0, 0.0, -138.0),
( 0.0, 0.0, 75.0, 0.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 4.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 9.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 7.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -6.0, 0.0, -3.0, 3.0, 0.0, 1.0),
( 0.0, 0.0, -3.0, 0.0, 0.0, -2.0),
( 11.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( 11.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -1.0, 0.0, 3.0, 3.0, 0.0, -1.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 0.0, 0.0, -13.0, 0.0, 0.0, -11.0),
( 3.0, 0.0, 6.0, 0.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( 8.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 11.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 8.0, 0.0, 0.0, -4.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( 11.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -6.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -8.0, 0.0, 0.0, 4.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( -6.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 0.0, 0.0, -26.0, 0.0, 0.0, -11.0),
( 0.0, 0.0, -10.0, 0.0, 0.0, -5.0),
( 5.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( -13.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 7.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -6.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -7.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 13.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -11.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -12.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( 0.0, 0.0, -5.0, 0.0, 0.0, -2.0),
( -7.0, 0.0, 0.0, 4.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 12.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -6.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -6.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 7.0, 0.0, 0.0, -4.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -6.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( -6.0, 0.0, 0.0, 3.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 10.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 7.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 7.0, 0.0, 0.0, -3.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 11.0, 0.0, 0.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -6.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, -2.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0, 0.0, 0.0),
))
lunisolar_longitude_coefficients = lunisolar_coefficients[:,:3]
lunisolar_obliquity_coefficients = lunisolar_coefficients[:,3:]
# Planetary argument multipliers:
# L L' F D Om Me Ve E Ma Ju Sa Ur Ne pre
napl_t = array((
( 0, 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, -8, 16, -4, -5, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 2),
( 0, 0, 0, 0, 0, 0, 0, -4, 8, -1, -5, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 1),
( 0, 0, 1, -1, 1, 0, 0, 3, -8, 3, 0, 0, 0, 0),
(-1, 0, 0, 0, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 6, -3, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0),
( 0, 0, 1, -1, 1, 0, 0, -5, 8, -3, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 0, 4, -8, 1, 5, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, -5, 6, 4, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 1),
( 0, 0, 1, -1, 1, 0, 0, -1, 0, 2, -5, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0),
( 0, 0, 1, -1, 1, 0, 0, -1, 0, -2, 5, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 5, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 5, 0, 0, 2),
( 2, 0, -1, -1, 0, 0, 0, 3, -7, 0, 0, 0, 0, 0),
( 1, 0, 0, -2, 0, 0, 19,-21, 3, 0, 0, 0, 0, 0),
( 0, 0, 1, -1, 1, 0, 2, -4, 0, -3, 0, 0, 0, 0),
( 1, 0, 0, -1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0),
( 0, 0, 1, -1, 1, 0, 0, -1, 0, -4, 10, 0, 0, 0),
(-2, 0, 0, 2, 1, 0, 0, 2, 0, 0, -5, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 3, -7, 4, 0, 0, 0, 0, 0),
( 0, 0, -1, 1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0),
(-2, 0, 0, 2, 1, 0, 0, 2, 0, -2, 0, 0, 0, 0),
(-1, 0, 0, 0, 0, 0, 18,-16, 0, 0, 0, 0, 0, 0),
(-2, 0, 1, 1, 2, 0, 0, 1, 0, -2, 0, 0, 0, 0),
(-1, 0, 1, -1, 1, 0, 18,-17, 0, 0, 0, 0, 0, 0),
(-1, 0, 0, 1, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 2),
( 0, 0, 2, -2, 2, 0, -8, 11, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 1),
( 0, 0, 1, -1, 1, 0, -8, 12, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 0),
( 0, 0, 1, -1, 1, 0, 8,-14, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 1),
(-2, 0, 0, 2, 1, 0, 0, 2, 0, -4, 5, 0, 0, 0),
(-2, 0, 0, 2, 2, 0, 3, -3, 0, 0, 0, 0, 0, 0),
(-2, 0, 0, 2, 0, 0, 0, 2, 0, -3, 1, 0, 0, 0),
( 0, 0, 0, 0, 1, 0, 3, -5, 0, 2, 0, 0, 0, 0),
(-2, 0, 0, 2, 0, 0, 0, 2, 0, -4, 3, 0, 0, 0),
( 0, 0, -1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0),
( 0, 0, 1, -1, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0),
(-1, 0, 1, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0),
(-1, 0, 0, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0),
(-2, 0, 0, 2, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0),
(-2, 0, 2, 0, 2, 0, 0, -5, 9, 0, 0, 0, 0, 0),
( 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0),
( 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 2, 0),
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( 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 6, -5, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, -9, 11, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, -9, 11, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 4, 0, -3, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, -6, 6, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 5, -2, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 8, -9, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, -7, 7, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, 5, 0, -4, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 5, 0, -3, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 5, 0, -2, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1),
( 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2),
( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2),
( 1, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0),
( 1, 0, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0),
( 1, 0, 0, -2, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0),
( 1, 0, 0, -2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0),
(-1, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0),
(-1, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0),
(-1, 0, 0, 2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0),
( 1, 0, 0, -2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0),
(-2, 0, 0, 2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0),
(-1, 0, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0),
(-1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0),
(-1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0),
(-1, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0),
( 1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0),
(-1, 0, 0, 2, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0),
(-2, 0, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0),
( 1, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0),
(-1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0),
( 1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0),
(-1, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0),
(-1, 0, 0, 2, 1, 0, 0, 2, 0, -2, 0, 0, 0, 0),
( 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0),
(-1, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0),
(-1, 0, 0, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0),
( 1, 0, 0, -2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0),
( 1, 0, 2, -2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0),
( 1, 0, 2, -2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0),
( 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0),
( 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0),
( 0, 0, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, -2, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0),
( 0, 0, 2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0),
( 0, 0, 2, 0, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0),
( 0, 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0),
( 0, 0, 2, 0, 2, 0, -2, 3, 0, 0, 0, 0, 0, 0),
( 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0),
( 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0),
( 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0),
(-1, 0, 2, 0, 2, 0, 10, -3, 0, 0, 0, 0, 0, 0),
( 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0),
( 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0),
( 0, 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0),
( 0, 0, 2, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0),
(-1, 0, 2, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0),
( 2, 0, 2, -2, 2, 0, 0, -2, 0, 3, 0, 0, 0, 0),
( 1, 0, 2, 0, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0),
( 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0),
(-1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0),
(-2, 0, 2, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0),
( 0, 0, 2, 0, 2, 0, 2, -3, 0, 0, 0, 0, 0, 0),
( 0, 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0),
( 0, 0, 2, 0, 2, 0, 0, 1, 0, -1, 0, 0, 0, 0),
( 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0),
(-1, 0, 2, 2, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0),
( 1, 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0),
(-1, 0, 2, 2, 2, 0, 0, 2, 0, -3, 0, 0, 0, 0),
( 2, 0, 2, 0, 2, 0, 0, 2, 0, -3, 0, 0, 0, 0),
( 1, 0, 2, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0),
( 1, 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0),
( 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0),
( 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0),
( 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0),
(-1, 0, 2, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0),
(-1, 0, 2, 2, 2, 0, 3, -3, 0, 0, 0, 0, 0, 0),
( 1, 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0),
( 0, 0, 2, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0),
))
# Planetary nutation coefficients, unit 1e-7 arcsec:
# longitude (sin, cos), obliquity (sin, cos)
# Each row of coefficients in 'cpl_t' belongs with the corresponding
# row of fundamental-argument multipliers in 'napl_t'.
nutation_coefficients = array((
( 1440.0, 0.0, 0.0, 0.0),
( 56.0, -117.0, -42.0, -40.0),
( 125.0, -43.0, 0.0, -54.0),
( 0.0, 5.0, 0.0, 0.0),
( 3.0, -7.0, -3.0, 0.0),
( 3.0, 0.0, 0.0, -2.0),
( -114.0, 0.0, 0.0, 61.0),
( -219.0, 89.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 0.0),
( -462.0, 1604.0, 0.0, 0.0),
( 99.0, 0.0, 0.0, -53.0),
( -3.0, 0.0, 0.0, 2.0),
( 0.0, 6.0, 2.0, 0.0),
( 3.0, 0.0, 0.0, 0.0),
( -12.0, 0.0, 0.0, 0.0),
( 14.0, -218.0, 117.0, 8.0),
( 31.0, -481.0, -257.0, -17.0),
( -491.0, 128.0, 0.0, 0.0),
(-3084.0, 5123.0, 2735.0, 1647.0),
(-1444.0, 2409.0, -1286.0, -771.0),
( 11.0, -24.0, -11.0, -9.0),
( 26.0, -9.0, 0.0, 0.0),
( 103.0, -60.0, 0.0, 0.0),
( 0.0, -13.0, -7.0, 0.0),
( -26.0, -29.0, -16.0, 14.0),
( 9.0, -27.0, -14.0, -5.0),
( 12.0, 0.0, 0.0, -6.0),
( -7.0, 0.0, 0.0, 0.0),
( 0.0, 24.0, 0.0, 0.0),
( 284.0, 0.0, 0.0, -151.0),
( 226.0, 101.0, 0.0, 0.0),
( 0.0, -8.0, -2.0, 0.0),
( 0.0, -6.0, -3.0, 0.0),
( 5.0, 0.0, 0.0, -3.0),
( -41.0, 175.0, 76.0, 17.0),
( 0.0, 15.0, 6.0, 0.0),
( 425.0, 212.0, -133.0, 269.0),
( 1200.0, 598.0, 319.0, -641.0),
( 235.0, 334.0, 0.0, 0.0),
( 11.0, -12.0, -7.0, -6.0),
( 5.0, -6.0, 3.0, 3.0),
( -5.0, 0.0, 0.0, 3.0),
( 6.0, 0.0, 0.0, -3.0),
( 15.0, 0.0, 0.0, 0.0),
( 13.0, 0.0, 0.0, -7.0),
( -6.0, -9.0, 0.0, 0.0),
( 266.0, -78.0, 0.0, 0.0),
( -460.0, -435.0, -232.0, 246.0),
( 0.0, 15.0, 7.0, 0.0),
( -3.0, 0.0, 0.0, 2.0),
( 0.0, 131.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0),
( 0.0, 3.0, 0.0, 0.0),
( 0.0, 4.0, 2.0, 0.0),
( 0.0, 3.0, 0.0, 0.0),
( -17.0, -19.0, -10.0, 9.0),
( -9.0, -11.0, 6.0, -5.0),
( -6.0, 0.0, 0.0, 3.0),
( -16.0, 8.0, 0.0, 0.0),
( 0.0, 3.0, 0.0, 0.0),
( 11.0, 24.0, 11.0, -5.0),
( -3.0, -4.0, -2.0, 1.0),
( 3.0, 0.0, 0.0, -1.0),
( 0.0, -8.0, -4.0, 0.0),
( 0.0, 3.0, 0.0, 0.0),
( 0.0, 5.0, 0.0, 0.0),
( 0.0, 3.0, 2.0, 0.0),
( -6.0, 4.0, 2.0, 3.0),
( -3.0, -5.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 2.0),
( 4.0, 24.0, 13.0, -2.0),
( -42.0, 20.0, 0.0, 0.0),
( -10.0, 233.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0),
( 78.0, -18.0, 0.0, 0.0),
( 0.0, 3.0, 1.0, 0.0),
( 0.0, -3.0, -1.0, 0.0),
( 0.0, -4.0, -2.0, 1.0),
( 0.0, -8.0, -4.0, -1.0),
( 0.0, -5.0, 3.0, 0.0),
( -7.0, 0.0, 0.0, 3.0),
( -14.0, 8.0, 3.0, 6.0),
( 0.0, 8.0, -4.0, 0.0),
( 0.0, 19.0, 10.0, 0.0),
( 45.0, -22.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 0.0),
( 0.0, -3.0, 0.0, 0.0),
( 0.0, 3.0, 0.0, 0.0),
( 3.0, 5.0, 3.0, -2.0),
( 89.0, -16.0, -9.0, -48.0),
( 0.0, 3.0, 0.0, 0.0),
( -3.0, 7.0, 4.0, 2.0),
( -349.0, -62.0, 0.0, 0.0),
( -15.0, 22.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 0.0),
( -53.0, 0.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, -3.0),
( 0.0, -8.0, 0.0, 0.0),
( 15.0, -7.0, -4.0, -8.0),
( -3.0, 0.0, 0.0, 1.0),
( -21.0, -78.0, 0.0, 0.0),
( 20.0, -70.0, -37.0, -11.0),
( 0.0, 6.0, 3.0, 0.0),
( 5.0, 3.0, 2.0, -2.0),
( -17.0, -4.0, -2.0, 9.0),
( 0.0, 6.0, 3.0, 0.0),
( 32.0, 15.0, -8.0, 17.0),
( 174.0, 84.0, 45.0, -93.0),
( 11.0, 56.0, 0.0, 0.0),
( -66.0, -12.0, -6.0, 35.0),
( 47.0, 8.0, 4.0, -25.0),
( 0.0, 8.0, 4.0, 0.0),
( 10.0, -22.0, -12.0, -5.0),
( -3.0, 0.0, 0.0, 2.0),
( -24.0, 12.0, 0.0, 0.0),
( 5.0, -6.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -2.0),
( 4.0, 3.0, 1.0, -2.0),
( 0.0, 29.0, 15.0, 0.0),
( -5.0, -4.0, -2.0, 2.0),
( 8.0, -3.0, -1.0, -5.0),
( 0.0, -3.0, 0.0, 0.0),
( 10.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -2.0),
( -5.0, 0.0, 0.0, 3.0),
( 46.0, 66.0, 35.0, -25.0),
( -14.0, 7.0, 0.0, 0.0),
( 0.0, 3.0, 2.0, 0.0),
( -5.0, 0.0, 0.0, 0.0),
( -68.0, -34.0, -18.0, 36.0),
( 0.0, 14.0, 7.0, 0.0),
( 10.0, -6.0, -3.0, -5.0),
( -5.0, -4.0, -2.0, 3.0),
( -3.0, 5.0, 2.0, 1.0),
( 76.0, 17.0, 9.0, -41.0),
( 84.0, 298.0, 159.0, -45.0),
( 3.0, 0.0, 0.0, -1.0),
( -3.0, 0.0, 0.0, 2.0),
( -3.0, 0.0, 0.0, 1.0),
( -82.0, 292.0, 156.0, 44.0),
( -73.0, 17.0, 9.0, 39.0),
( -9.0, -16.0, 0.0, 0.0),
( 3.0, 0.0, -1.0, -2.0),
( -3.0, 0.0, 0.0, 0.0),
( -9.0, -5.0, -3.0, 5.0),
( -439.0, 0.0, 0.0, 0.0),
( 57.0, -28.0, -15.0, -30.0),
( 0.0, -6.0, -3.0, 0.0),
( -4.0, 0.0, 0.0, 2.0),
( -40.0, 57.0, 30.0, 21.0),
( 23.0, 7.0, 3.0, -13.0),
( 273.0, 80.0, 43.0, -146.0),
( -449.0, 430.0, 0.0, 0.0),
( -8.0, -47.0, -25.0, 4.0),
( 6.0, 47.0, 25.0, -3.0),
( 0.0, 23.0, 13.0, 0.0),
( -3.0, 0.0, 0.0, 2.0),
( 3.0, -4.0, -2.0, -2.0),
( -48.0, -110.0, -59.0, 26.0),
( 51.0, 114.0, 61.0, -27.0),
( -133.0, 0.0, 0.0, 57.0),
( 0.0, 4.0, 0.0, 0.0),
( -21.0, -6.0, -3.0, 11.0),
( 0.0, -3.0, -1.0, 0.0),
( -11.0, -21.0, -11.0, 6.0),
( -18.0, -436.0, -233.0, 9.0),
( 35.0, -7.0, 0.0, 0.0),
( 0.0, 5.0, 3.0, 0.0),
( 11.0, -3.0, -1.0, -6.0),
( -5.0, -3.0, -1.0, 3.0),
( -53.0, -9.0, -5.0, 28.0),
( 0.0, 3.0, 2.0, 1.0),
( 4.0, 0.0, 0.0, -2.0),
( 0.0, -4.0, 0.0, 0.0),
( -50.0, 194.0, 103.0, 27.0),
( -13.0, 52.0, 28.0, 7.0),
( -91.0, 248.0, 0.0, 0.0),
( 6.0, 49.0, 26.0, -3.0),
( -6.0, -47.0, -25.0, 3.0),
( 0.0, 5.0, 3.0, 0.0),
( 52.0, 23.0, 10.0, -23.0),
( -3.0, 0.0, 0.0, 1.0),
( 0.0, 5.0, 3.0, 0.0),
( -4.0, 0.0, 0.0, 0.0),
( -4.0, 8.0, 3.0, 2.0),
( 10.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -2.0),
( 0.0, 8.0, 4.0, 0.0),
( 0.0, 8.0, 4.0, 1.0),
( -4.0, 0.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 0.0),
( -8.0, 4.0, 2.0, 4.0),
( 8.0, -4.0, -2.0, -4.0),
( 0.0, 15.0, 7.0, 0.0),
( -138.0, 0.0, 0.0, 0.0),
( 0.0, -7.0, -3.0, 0.0),
( 0.0, -7.0, -3.0, 0.0),
( 54.0, 0.0, 0.0, -29.0),
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( 0.0, 3.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 1.0),
( -9.0, 0.0, 1.0, 4.0),
( 3.0, 12.0, 5.0, -1.0),
( 17.0, -3.0, -1.0, 0.0),
( 0.0, 7.0, 4.0, 0.0),
( 19.0, 0.0, 0.0, 0.0),
( 0.0, -5.0, -3.0, 0.0),
( 14.0, -3.0, 0.0, -1.0),
( 0.0, 0.0, -1.0, 0.0),
( 0.0, 0.0, 0.0, -5.0),
( 0.0, 5.0, 3.0, 0.0),
( 13.0, 0.0, 0.0, 0.0),
( 0.0, -3.0, -2.0, 0.0),
( 2.0, 9.0, 4.0, 3.0),
( 0.0, 0.0, 0.0, -4.0),
( 8.0, 0.0, 0.0, 0.0),
( 0.0, 4.0, 2.0, 0.0),
( 6.0, 0.0, 0.0, -3.0),
( 6.0, 0.0, 0.0, 0.0),
( 0.0, 3.0, 1.0, 0.0),
( 5.0, 0.0, 0.0, -2.0),
( 3.0, 0.0, 0.0, -1.0),
( -3.0, 0.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, 0.0),
( 7.0, 0.0, 0.0, 0.0),
( -4.0, 0.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0),
( 6.0, 0.0, 0.0, 0.0),
( 0.0, -4.0, 0.0, 0.0),
( 0.0, -4.0, 0.0, 0.0),
( 5.0, 0.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0),
( -5.0, 0.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0),
( 0.0, 3.0, 0.0, 0.0),
( 13.0, 0.0, 0.0, 0.0),
( 21.0, 11.0, 0.0, 0.0),
( 0.0, -5.0, 0.0, 0.0),
( 0.0, -5.0, -2.0, 0.0),
( 0.0, 5.0, 3.0, 0.0),
( 0.0, -5.0, 0.0, 0.0),
( -3.0, 0.0, 0.0, 2.0),
( 20.0, 10.0, 0.0, 0.0),
( -34.0, 0.0, 0.0, 0.0),
( -19.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -2.0),
( -3.0, 0.0, 0.0, 1.0),
( -6.0, 0.0, 0.0, 3.0),
( -4.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, 0.0),
( 4.0, 0.0, 0.0, 0.0),
( 3.0, 0.0, 0.0, -1.0),
( 6.0, 0.0, 0.0, -3.0),
( -8.0, 0.0, 0.0, 3.0),
( 0.0, 3.0, 1.0, 0.0),
( -3.0, 0.0, 0.0, 0.0),
( 0.0, -3.0, -2.0, 0.0),
( 126.0, -63.0, -27.0, -55.0),
( -5.0, 0.0, 1.0, 2.0),
( -3.0, 28.0, 15.0, 2.0),
( 5.0, 0.0, 1.0, -2.0),
( 0.0, 9.0, 4.0, 1.0),
( 0.0, 9.0, 4.0, -1.0),
( -126.0, -63.0, -27.0, 55.0),
( 3.0, 0.0, 0.0, -1.0),
( 21.0, -11.0, -6.0, -11.0),
( 0.0, -4.0, 0.0, 0.0),
( -21.0, -11.0, -6.0, 11.0),
( -3.0, 0.0, 0.0, 1.0),
( 0.0, 3.0, 1.0, 0.0),
( 8.0, 0.0, 0.0, -4.0),
( -6.0, 0.0, 0.0, 3.0),
( -3.0, 0.0, 0.0, 1.0),
( 3.0, 0.0, 0.0, -1.0),
( -3.0, 0.0, 0.0, 1.0),
( -5.0, 0.0, 0.0, 2.0),
( 24.0, -12.0, -5.0, -11.0),
( 0.0, 3.0, 1.0, 0.0),
( 0.0, 3.0, 1.0, 0.0),
( 0.0, 3.0, 2.0, 0.0),
( -24.0, -12.0, -5.0, 10.0),
( 4.0, 0.0, -1.0, -2.0),
( 13.0, 0.0, 0.0, -6.0),
( 7.0, 0.0, 0.0, -3.0),
( 3.0, 0.0, 0.0, -1.0),
( 3.0, 0.0, 0.0, -1.0),
))
nutation_coefficients_longitude = nutation_coefficients[:,:2]
nutation_coefficients_obliquity = nutation_coefficients[:,2:]
# ----------------------------------------------------------------------
# END of arrays that used to be inline in nutation.py
# ----------------------------------------------------------------------
if __name__ == '__main__':
main(sys.argv[1:])
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