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VSOP87.hpp
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VSOP87.hpp
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/*
* VSOP87.h
*
* Copyright (c) 2017 by Sebastien MARCHAND (Web:www.marscaper.com, Email:[email protected])
*/
/*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef VSOP87_h
#define VSOP87_h
#if ARDUINO
#define CONST const PROGMEM
#else
#define CONST const
#endif
struct VSOP87Coefficient
{
FLOAT A;
FLOAT B;
FLOAT C;
};
////////////////////////////////////////////////////////////
//
// Tables of VSOP87 terms for Mercury.
//
CONST VSOP87Coefficient L0MercuryCoefficients[]
{
{20982.152178, 0.000000, 0.000000},
{6402.297634, 1.483020, 26087.902344},
{2246.395780, 4.477855, 52175.804688},
{924.849718, 1.165203, 78263.710938},
{406.927512, 4.119692, 104351.609375},
{185.908580, 0.779310, 130439.515625},
{87.080423, 3.713500, 156527.421875},
{59.665736, 1.512000, 1109.378540},
{42.461747, 4.103300, 5661.332031},
{41.545156, 0.358300, 182615.328125},
{39.874804, 2.995100, 25028.521484},
{36.945906, 4.599200, 27197.281250},
{31.890437, 0.880300, 31749.234375},
{26.720778, 1.541000, 24978.525391},
{25.377155, 5.303000, 21535.949219},
{21.236761, 6.050000, 51116.425781},
{20.099751, 3.282000, 208703.218750},
{18.761663, 5.242000, 20426.570312},
{18.574176, 2.792000, 15874.618164},
{18.520259, 5.765000, 955.599976},
{18.411953, 5.863000, 25558.212891},
{18.027756, 1.337000, 53285.183594},
{16.522712, 2.495000, 529.690979},
{16.248077, 3.917000, 57837.136719},
{16.124515, 0.987000, 4551.953125},
{15.459625, 0.113000, 1059.381958},
{15.329710, 0.267000, 11322.664062},
{14.730920, 0.660000, 13521.750977},
{14.456832, 2.092000, 47623.851562},
{13.527749, 2.629000, 27043.503906},
{13.490738, 2.434000, 25661.304688},
{13.266499, 4.536000, 51066.429688},
{13.152946, 2.452000, 24498.830078},
{11.916375, 3.360000, 37410.566406},
{11.747340, 0.291000, 10213.286133},
{11.180340, 3.721000, 39609.656250},
{10.862780, 2.781000, 77204.328125},
{10.295630, 4.206000, 19804.826172}
};
CONST VSOP87Coefficient L1MercuryCoefficients[] =
{
{1615182.561268, 0.000000, 0.000000},
{1061.135241, 6.217040, 26087.902344},
{550.882020, 3.055655, 52175.804688},
{283.792177, 6.104550, 78263.710938},
{145.756647, 2.835320, 104351.609375},
{74.779676, 5.826800, 130439.515625},
{38.366652, 2.518500, 156527.421875},
{19.697716, 5.480000, 182615.328125},
{18.761663, 3.052000, 1109.379028},
{10.148892, 2.149000, 208703.218750},
{9.695360, 6.120000, 27197.279297},
{9.539392, 0.000000, 24978.519531},
{7.211103, 5.620000, 5661.330078},
{6.633250, 4.570000, 25028.519531},
{5.291503, 3.040000, 51066.429688},
{5.196152, 5.090000, 234791.125000}
};
CONST VSOP87Coefficient L2MercuryCoefficients[] =
{
{230.325856, 0.000000, 0.000000},
{130.015384, 4.690720, 26087.902344},
{86.005814, 1.347400, 52175.804688},
{54.936327, 4.456400, 78263.710938},
{33.271610, 1.262300, 104351.609375},
{19.442222, 4.320000, 130439.515625},
{11.090537, 1.069000, 156527.421875},
{6.244998, 4.080000, 182615.312500},
{3.872983, 4.630000, 1109.380005},
{3.464102, 0.790000, 208703.234375}
};
CONST VSOP87Coefficient L3MercuryCoefficients[] =
{
{13.711309, 0.035000, 52175.804688},
{11.916375, 3.125000, 26087.902344},
{9.848858, 3.000000, 78263.710938},
{6.633250, 6.020000, 104351.609375},
{5.916080, 0.000000, 0.000000},
{4.242641, 2.780000, 130439.523438},
{2.645751, 5.820000, 156527.421875},
{1.732051, 2.570000, 182615.312500}
};
CONST VSOP87Coefficient L4MercuryCoefficients[] =
{
{10.677078, 3.141600, 0.000000},
{1.732051, 2.030000, 26087.900391},
{1.414214, 1.420000, 78263.710938},
{1.414214, 4.500000, 52175.808594},
{1.000000, 4.500000, 104351.609375},
{1.000000, 1.270000, 130439.523438}
};
CONST VSOP87Coefficient L5MercuryCoefficients[] =
{
{1.000000, 3.140000, 0.000000}
};
CONST VSOP87Coefficient B0MercuryCoefficients[] =
{
{3426.007735, 1.983575, 26087.902344},
{1545.340416, 5.037390, 52175.804688},
{1105.820962, 3.141593, 0.000000},
{737.056307, 1.796444, 78263.710938},
{360.248525, 4.832325, 104351.609375},
{178.513305, 1.580880, 130439.515625},
{89.235643, 4.609700, 156527.421875},
{44.877611, 1.353200, 182615.328125},
{22.671568, 4.378000, 208703.218750},
{14.456832, 2.020000, 24978.525391},
{14.422205, 4.918000, 27197.281250},
{11.489125, 1.119000, 234791.125000},
{11.000000, 1.813000, 53285.183594},
{10.000000, 5.657000, 20426.570312}
};
CONST VSOP87Coefficient B1MercuryCoefficients[] =
{
{655.096176, 3.501698, 26087.902344},
{382.405544, 3.141593, 0.000000},
{150.582203, 0.015150, 52175.804688},
{104.379117, 0.485400, 78263.710938},
{79.705709, 3.429400, 104351.609375},
{49.959984, 0.160500, 130439.515625},
{29.325757, 3.185000, 156527.421875},
{16.673332, 6.210000, 182615.328125},
{9.273618, 2.950000, 208703.234375},
{5.291503, 0.290000, 27197.279297},
{5.099020, 5.980000, 234791.125000}
};
CONST VSOP87Coefficient B2MercuryCoefficients[] =
{
{108.770400, 4.790660, 26087.902344},
{43.749286, 0.000000, 0.000000},
{32.326460, 1.212200, 52175.804688},
{16.309506, 4.434000, 78263.710938},
{13.038405, 1.623000, 104351.609375},
{9.797959, 4.800000, 130439.523438},
{6.708204, 1.610000, 156527.421875},
{4.242641, 4.670000, 182615.312500},
{2.645751, 1.430000, 208703.234375}
};
CONST VSOP87Coefficient B3MercuryCoefficients[] =
{
{15.329710, 0.354000, 26087.902344},
{12.688578, 0.000000, 0.000000},
{4.358899, 4.360000, 52175.808594},
{2.449490, 2.510000, 78263.710938},
{2.236068, 6.140000, 104351.609375},
{1.732051, 3.120000, 130439.523438},
{1.414214, 6.270000, 156527.421875}
};
CONST VSOP87Coefficient B4MercuryCoefficients[] =
{
{2.000000, 1.750000, 26087.900391},
{1.000000, 3.140000, 0.000000}
};
CONST VSOP87Coefficient R0MercuryCoefficients[] =
{
{6287.151342, 0.000000, 0.000000},
{2798.951947, 6.192337, 26087.902344},
{891.922642, 2.959897, 52175.804688},
{348.255653, 6.010642, 78263.710938},
{148.060798, 2.778200, 104351.609375},
{65.984847, 5.828900, 130439.515625},
{30.298515, 2.597000, 156527.421875},
{17.029386, 1.424000, 25028.521484},
{16.124515, 3.028000, 27197.281250},
{14.212670, 5.647000, 182615.328125},
{14.177447, 5.592000, 31749.234375},
{11.916375, 6.253000, 24978.525391},
{10.000000, 3.734000, 21535.949219}
};
CONST VSOP87Coefficient R1MercuryCoefficients[] =
{
{466.205963, 4.656172, 26087.902344},
{210.099976, 1.423860, 52175.804688},
{100.468901, 4.474660, 78263.710938},
{49.325450, 1.242300, 104351.609375},
{40.298883, 0.000000, 0.000000},
{24.576411, 4.293000, 130439.515625},
{12.369317, 1.061000, 156527.421875},
{6.244998, 4.110000, 182615.312500}
};
CONST VSOP87Coefficient R2MercuryCoefficients[] =
{
{55.839054, 3.082300, 26087.902344},
{35.284558, 6.151800, 52175.804688},
{20.615528, 2.926000, 78263.710938},
{11.661904, 5.980000, 104351.609375},
{6.480741, 2.750000, 130439.523438},
{4.690416, 3.140000, 0.000000},
{3.605551, 5.800000, 156527.421875}
};
CONST VSOP87Coefficient R3MercuryCoefficients[] =
{
{5.744563, 1.680000, 26087.900391},
{4.898979, 4.630000, 52175.808594},
{3.464102, 1.390000, 78263.710938},
{2.236068, 4.440000, 104351.609375},
{1.414214, 1.210000, 130439.523438}
};
////////////////////////////////////////////////////////////
//
// Tables of VSOP87 terms for Venus.
//
CONST VSOP87Coefficient L0VenusCoefficients[] =
{
{17821.747024, 0.000000, 0.000000},
{1163.601306, 5.593133, 10213.285156},
{299.819946, 5.306500, 20426.570312},
{74.006756, 4.416300, 7860.419434},
{58.787754, 2.699600, 11790.628906},
{48.703183, 2.993800, 3930.209717},
{40.792156, 4.250200, 1577.343506},
{37.920970, 4.157500, 9683.594727},
{36.290495, 5.186700, 26.298300},
{34.655447, 6.153600, 30639.857422},
{27.730849, 0.816000, 9437.762695},
{27.586228, 1.950000, 529.690979},
{26.608269, 1.065000, 775.523010},
{24.186773, 3.998000, 191.447998},
{22.360680, 4.123000, 15720.838867},
{20.712315, 3.586000, 19367.189453},
{18.083141, 5.677000, 5507.553223},
{18.055470, 4.591000, 10404.734375},
{15.231546, 3.163000, 9153.904297},
{13.416408, 4.653000, 1109.379028},
{12.449900, 5.570000, 19651.048828},
{11.313708, 4.226000, 20.775000},
{11.313708, 0.962000, 5661.332031},
{10.295630, 1.537000, 801.820984}
};
CONST VSOP87Coefficient L1VenusCoefficients[] =
{
{1010620.078493, 0.000000, 0.000000},
{309.367096, 2.464240, 10213.285156},
{120.187354, 0.516250, 20426.570312},
{14.594520, 1.795000, 30639.857422},
{13.190906, 2.655000, 26.298000},
{12.328828, 6.106000, 1577.343994},
{9.055385, 5.700000, 191.449997},
{8.366600, 2.680000, 9437.759766},
{7.211103, 3.600000, 775.520020},
{6.164414, 1.030000, 529.690002},
{5.477226, 1.250000, 5507.549805},
{5.000000, 6.110000, 10404.730469}
};
CONST VSOP87Coefficient L2VenusCoefficients[] =
{
{232.652101, 0.000000, 0.000000},
{62.377881, 0.345100, 10213.285156},
{36.578682, 2.020100, 20426.570312},
{4.898979, 2.050000, 26.299999},
{4.358899, 3.540000, 30639.859375},
{3.162278, 3.970000, 775.520020},
{2.645751, 1.520000, 1577.339966},
{2.449490, 1.000000, 191.449997}
};
CONST VSOP87Coefficient L3VenusCoefficients[] =
{
{11.661904, 4.804000, 10213.286133},
{8.831761, 3.670000, 20426.570312},
{5.099020, 0.000000, 0.000000}
};
CONST VSOP87Coefficient L4VenusCoefficients[] =
{
{10.677078, 3.141600, 0.000000},
{1.732051, 5.210000, 20426.570312},
{1.414214, 2.510000, 10213.290039}
};
CONST VSOP87Coefficient L5VenusCoefficients[] =
{
{1.000000, 3.140000, 0.000000}
};
CONST VSOP87Coefficient B0VenusCoefficients[] =
{
{2433.852502, 0.267028, 10213.285156},
{200.269818, 1.147370, 20426.570312},
{181.149110, 3.141590, 0.000000},
{31.796226, 1.089500, 30639.857422},
{12.206556, 6.254000, 18073.705078},
{11.747340, 0.860000, 1577.343994},
{11.401754, 3.672000, 9437.762695},
{10.954451, 3.705000, 2352.865967},
{10.392305, 4.539000, 22003.914062}
};
CONST VSOP87Coefficient B1VenusCoefficients[] =
{
{716.483077, 1.803643, 10213.285156},
{66.181568, 3.386200, 20426.570312},
{14.106736, 0.000000, 0.000000},
{14.035669, 2.530000, 30639.857422}
};
CONST VSOP87Coefficient B2VenusCoefficients[] =
{
{149.592781, 3.385090, 10213.285156},
{16.792856, 0.000000, 0.000000},
{13.152946, 5.256000, 20426.570312},
{5.196152, 3.870000, 30639.859375}
};
CONST VSOP87Coefficient B3VenusCoefficients[] =
{
{25.436195, 4.992000, 10213.286133},
{4.472136, 3.140000, 0.000000},
{2.449490, 0.770000, 20426.570312},
{1.732051, 5.440000, 30639.859375}
};
CONST VSOP87Coefficient B4VenusCoefficients[] =
{
{3.741657, 0.320000, 10213.290039}
};
CONST VSOP87Coefficient R0VenusCoefficients[] =
{
{8504.988007, 0.000000, 0.000000},
{699.874274, 4.021518, 10213.285156},
{40.718546, 4.902100, 20426.570312},
{40.398020, 2.845500, 7860.419434},
{37.121422, 1.128500, 11790.628906},
{22.315914, 2.587000, 9683.594727},
{19.339080, 1.423000, 3930.209961},
{16.248077, 5.529000, 9437.762695},
{15.394804, 2.551000, 15720.838867},
{14.899664, 2.013000, 19367.189453},
{11.224972, 2.728000, 1577.343994},
{10.908712, 3.020000, 10404.734375}
};
CONST VSOP87Coefficient R1VenusCoefficients[] =
{
{185.878993, 0.891990, 10213.285156},
{15.297059, 1.772000, 20426.570312},
{15.297059, 3.142000, 0.000000}
};
CONST VSOP87Coefficient R2VenusCoefficients[] =
{
{37.509999, 5.063700, 10213.285156},
{4.000000, 5.470000, 20426.570312},
{3.605551, 0.000000, 0.000000}
};
CONST VSOP87Coefficient R3VenusCoefficients[] =
{
{7.071068, 3.220000, 10213.290039}
};
CONST VSOP87Coefficient R4VenusCoefficients[] =
{
{1.000000, 0.920000, 10213.290039}
};
////////////////////////////////////////////////////////////
//
// Tables of VSOP87 terms for Earth.
//
CONST VSOP87Coefficient L0EarthCoefficients[] =
{
{13241.867164, 0.000000, 0.000000},
{1828.019694, 4.669257, 6283.075684},
{186.799358, 4.626100, 12566.151367},
{59.135438, 2.744100, 5753.384766},
{58.463664, 2.828900, 3.523100},
{56.000000, 3.627700, 77713.773438},
{51.730069, 4.418100, 7860.419434},
{48.404545, 6.135200, 3930.209717},
{36.386811, 0.742500, 11506.769531},
{35.679126, 2.037100, 529.690979},
{34.626579, 1.109600, 1577.343506},
{31.464265, 5.233000, 5884.926758},
{30.033315, 2.045000, 26.298000},
{29.274562, 3.508000, 398.148987},
{27.928480, 1.179000, 5223.693848},
{27.440845, 2.533000, 5507.553223},
{22.472205, 4.583000, 18849.228516},
{22.181073, 4.205000, 775.523010},
{18.894444, 2.920000, 0.067000},
{17.804494, 5.849000, 11790.628906},
{16.852300, 1.899000, 796.297974},
{16.462078, 0.315000, 10977.079102},
{15.588457, 0.345000, 5486.777832},
{14.352700, 4.806000, 2544.313965},
{14.317821, 1.869000, 5573.143066},
{14.212670, 2.458000, 6069.776855},
{12.489996, 0.833000, 213.298996},
{11.489125, 3.411000, 2942.462891},
{11.224972, 1.083000, 20.775000},
{10.723805, 0.645000, 0.980000},
{10.148892, 0.636000, 4694.002930},
{10.099505, 0.976000, 15720.838867},
{10.099505, 4.267000, 7.114000},
{9.949874, 6.210000, 2146.169922},
{9.899495, 0.680000, 155.419998},
{9.273618, 5.980000, 161000.687500},
{9.219544, 1.300000, 6275.959961},
{9.219544, 3.670000, 71430.703125},
{8.944272, 1.810000, 17260.150391},
{8.888194, 3.040000, 12036.459961},
{8.660254, 1.760000, 5088.629883},
{8.602325, 3.500000, 3154.689941},
{8.602325, 4.680000, 801.820007},
{8.366600, 0.830000, 9437.759766},
{7.874008, 3.980000, 8827.389648},
{7.810250, 1.820000, 7084.899902},
{7.549834, 2.780000, 6286.600098},
{7.483315, 4.390000, 14143.500000},
{7.483315, 3.470000, 6279.549805},
{7.211103, 0.190000, 12139.549805},
{7.211103, 1.330000, 1748.020020},
{7.141428, 0.280000, 5856.479980},
{7.000000, 0.490000, 1194.449951},
{6.403124, 5.370000, 8429.240234},
{6.403124, 2.400000, 19651.050781},
{6.244998, 6.170000, 10447.389648},
{6.082763, 6.040000, 10213.290039},
{6.082763, 2.570000, 1059.380005},
{6.000000, 1.710000, 2352.870117},
{6.000000, 1.780000, 6812.770020},
{5.744563, 0.590000, 17789.849609},
{5.477226, 0.440000, 83996.851562},
{5.477226, 2.740000, 1349.869995},
{5.000000, 3.160000, 4690.479980}
};
CONST VSOP87Coefficient L1EarthCoefficients[] =
{
{792673.934696, 0.000000, 0.000000},
{453.937220, 2.678235, 6283.075684},
{65.597256, 2.635100, 12566.151367},
{20.615528, 1.590000, 3.523000},
{10.908712, 5.796000, 26.298000},
{10.440307, 2.966000, 1577.343994},
{9.643651, 2.590000, 18849.230469},
{8.485281, 1.140000, 529.690002},
{8.246211, 1.870000, 398.149994},
{8.185353, 4.410000, 5507.549805},
{7.681146, 2.890000, 5223.689941},
{7.483315, 2.170000, 155.419998},
{6.708204, 0.400000, 796.299988},
{6.000000, 0.470000, 775.520020},
{5.385165, 2.650000, 7.110000},
{4.582576, 5.340000, 0.980000},
{4.358899, 1.850000, 5486.779785},
{4.358899, 4.970000, 213.300003},
{4.123106, 2.990000, 6275.959961},
{4.000000, 0.030000, 2544.310059},
{4.000000, 1.430000, 2146.169922},
{3.872983, 1.210000, 10977.080078},
{3.464102, 2.830000, 1748.020020},
{3.464102, 3.260000, 5088.629883},
{3.464102, 5.270000, 1194.449951},
{3.464102, 2.080000, 4694.000000},
{3.316625, 0.770000, 553.570007},
{3.162278, 1.300000, 6286.600098},
{3.162278, 4.240000, 1349.869995},
{3.000000, 2.700000, 242.729996},
{3.000000, 5.640000, 951.719971},
{2.828427, 5.300000, 2352.870117},
{2.449490, 2.650000, 9437.759766},
{2.449490, 4.670000, 4690.479980}
};
CONST VSOP87Coefficient L2EarthCoefficients[] =
{
{230.041301, 0.000000, 0.000000},
{93.380940, 1.072100, 6283.075684},
{17.578396, 0.867000, 12566.152344},
{5.196152, 0.050000, 3.520000},
{4.000000, 5.190000, 26.299999},
{4.000000, 3.680000, 155.419998},
{3.162278, 0.760000, 18849.230469},
{3.000000, 2.060000, 77713.773438},
{2.645751, 0.830000, 775.520020},
{2.236068, 4.660000, 1577.339966},
{2.000000, 1.030000, 7.110000},
{2.000000, 3.440000, 5573.140137},
{1.732051, 5.140000, 796.299988},
{1.732051, 6.050000, 5507.549805},
{1.732051, 1.190000, 242.729996},
{1.732051, 6.120000, 529.690002},
{1.732051, 0.310000, 398.149994},
{1.732051, 2.280000, 553.570007},
{1.414214, 4.380000, 5223.689941},
{1.414214, 3.750000, 0.980000}
};
CONST VSOP87Coefficient L3EarthCoefficients[] =
{
{17.000000, 5.844000, 6283.076172},
{5.916080, 0.000000, 0.000000},
{4.123106, 5.490000, 12566.150391},
{1.732051, 5.200000, 155.419998},
{1.000000, 4.720000, 3.520000},
{1.000000, 5.300000, 18849.230469},
{1.000000, 5.970000, 242.729996}
};
CONST VSOP87Coefficient L4EarthCoefficients[] =
{
{10.677078, 3.142000, 0.000000},
{2.828427, 4.130000, 6283.080078},
{1.000000, 3.840000, 12566.150391}
};
CONST VSOP87Coefficient L5EarthCoefficients[] =
{
{1.000000, 3.140000, 0.000000}
};
CONST VSOP87Coefficient B0EarthCoefficients[] =
{
{16.733201, 3.199000, 84334.664062},
{10.099505, 5.422000, 5507.553223},
{8.944272, 3.880000, 5223.689941},
{6.633250, 3.700000, 2352.870117},
{5.656854, 4.000000, 1577.339966}
};
CONST VSOP87Coefficient B1EarthCoefficients[] =
{
{3.000000, 3.900000, 5507.549805},
{2.449490, 1.730000, 5223.689941}
};
CONST VSOP87Coefficient R0EarthCoefficients[] =
{
{10000.699426, 0.000000, 0.000000},
{1292.555608, 3.098464, 6283.075684},
{118.135515, 3.055250, 12566.151367},
{55.533774, 5.198500, 77713.773438},
{40.348482, 1.173900, 5753.384766},
{39.698866, 2.846900, 7860.419434},
{30.413813, 5.453000, 11506.769531},
{23.280893, 4.564000, 3930.209961},
{21.725561, 3.661000, 5884.926758},
{18.601075, 0.964000, 5507.553223},
{18.138357, 5.900000, 5223.693848},
{17.521415, 0.299000, 5573.143066},
{15.588457, 4.273000, 11790.628906},
{14.560220, 5.847000, 1577.343994},
{13.638182, 5.022000, 10977.079102},
{13.228757, 3.012000, 18849.228516},
{10.488088, 5.055000, 5486.777832},
{9.899495, 0.890000, 6069.779785},
{9.273618, 5.690000, 15720.839844},
{9.273618, 1.270000, 161000.687500},
{8.062258, 0.270000, 17260.150391},
{7.937254, 0.920000, 529.690002},
{7.549834, 2.010000, 83996.851562},
{7.483315, 5.240000, 71430.703125},
{7.000000, 3.250000, 2544.310059},
{6.855655, 2.580000, 775.520020},
{6.708204, 5.540000, 9437.759766},
{6.557439, 6.010000, 6275.959961},
{6.244998, 5.360000, 4694.000000},
{6.164414, 2.390000, 8827.389648},
{6.082763, 0.830000, 19651.050781},
{6.082763, 4.900000, 12139.549805},
{6.000000, 1.670000, 12036.459961},
{5.916080, 1.840000, 2942.459961},
{5.744563, 0.240000, 7084.899902},
{5.656854, 0.180000, 5088.629883},
{5.656854, 1.780000, 398.149994},
{5.291503, 1.210000, 6286.600098},
{5.291503, 1.900000, 6279.549805},
{5.099020, 4.590000, 10447.389648}
};
CONST VSOP87Coefficient R1EarthCoefficients[] =
{
{320.965730, 1.107490, 6283.075684},
{41.484937, 1.064400, 12566.151367},
{26.495283, 3.142000, 0.000000},
{5.656854, 1.020000, 18849.230469},
{5.567764, 2.840000, 5507.549805},
{5.000000, 1.320000, 5223.689941},
{4.242641, 1.420000, 1577.339966},
{3.162278, 5.910000, 10977.080078},
{3.000000, 1.420000, 6275.959961},
{3.000000, 0.270000, 5486.779785}
};
CONST VSOP87Coefficient R2EarthCoefficients[] =
{
{66.022723, 5.784600, 6283.075684},
{11.135529, 5.579000, 12566.152344},
{3.464102, 3.140000, 0.000000},
{3.000000, 3.630000, 77713.773438},
{2.449490, 1.870000, 5573.140137},
{1.732051, 5.470000, 18849.230469}
};
CONST VSOP87Coefficient R3EarthCoefficients[] =
{
{12.041595, 4.273000, 6283.076172},
{2.645751, 3.920000, 12566.150391}
};
////////////////////////////////////////////////////////////
//
// Tables of VSOP87 terms for Mars.
//
CONST VSOP87Coefficient L0MarsCoefficients[] =
{
{24906.780442, 0.000000, 0.000000},
{4319.301795, 5.050371, 3340.612305},
{1052.718861, 5.400999, 6681.224609},
{302.981848, 5.754790, 10021.836914},
{166.568304, 5.970500, 3.523120},
{110.977475, 0.849560, 2810.921387},
{103.004854, 2.939590, 2281.230469},
{94.482803, 4.157000, 0.017300},
{93.359520, 6.110100, 13362.449219},
{88.175960, 3.339700, 5621.842773},
{82.449985, 0.364600, 398.148987},
{64.505814, 0.228100, 2942.463379},
{59.791304, 1.661900, 2544.314453},
{55.452683, 0.857000, 191.448303},
{54.203321, 6.078900, 0.067300},
{51.264022, 0.648100, 3337.089355},
{50.793700, 0.030000, 3344.135498},
{48.877398, 5.039000, 796.297974},
{42.414620, 0.656300, 529.690979},
{39.319207, 2.915800, 1751.539551},
{39.089641, 1.149800, 6151.533691},
{35.860842, 3.068000, 2146.165283},
{35.552778, 3.622800, 5092.151855},
{32.015621, 3.693300, 8962.455078},
{29.866369, 0.183000, 16703.062500},
{29.308702, 2.401000, 2914.013916},
{28.861739, 4.495000, 3340.629883},
{28.861739, 2.464000, 3340.594971},
{27.367864, 3.822000, 155.419998},
{26.907248, 0.675000, 3738.760986},
{26.702060, 3.663000, 1059.381958},
{25.592968, 0.489000, 3127.312988},
{25.219040, 2.922000, 8432.763672},
{23.515952, 4.475000, 1748.015991},
{23.452079, 3.810000, 0.980000},
{21.725561, 3.625000, 1194.447021},
{20.639767, 0.554000, 6283.076172},
{20.371549, 0.497000, 213.298996},
{17.663522, 0.999000, 6677.702148},
{17.521415, 0.381000, 6684.748047},
{17.378147, 4.486000, 3532.061035},
{17.291616, 2.783000, 6254.626953},
{17.117243, 4.221000, 20.775000},
{16.852300, 5.769000, 3149.164062},
{16.763055, 5.882000, 1349.866943},
{16.552945, 0.542000, 3340.544922},
{16.552945, 0.134000, 3340.679932},
{15.459625, 5.372000, 4136.910156},
{15.362291, 5.755000, 3333.499023},
{15.198684, 1.282000, 3870.302979},
{14.866069, 3.505000, 382.897003},
{14.282857, 2.821000, 1221.848999},
{13.892444, 3.357000, 3.590000},
{13.747727, 1.491000, 9492.146484},
{13.379088, 1.006000, 951.718018},
{13.190906, 2.414000, 553.568970},
{13.114877, 0.439000, 5486.777832},
{12.649111, 3.949000, 4562.460938},
{12.000000, 1.419000, 135.065002},
{11.832160, 3.326000, 2700.715088},
{11.747340, 4.301000, 7.114000},
{11.445523, 4.045000, 12303.068359},
{11.313708, 2.208000, 1592.595947},
{11.313708, 1.807000, 5088.628906},
{10.816654, 3.128000, 7903.073242},
{10.630146, 3.701000, 1589.072998},
{10.488088, 1.052000, 242.729004},
{10.246951, 0.785000, 8827.389648},
{10.000000, 3.243000, 11773.376953}
};
CONST VSOP87Coefficient L1MarsCoefficients[] =
{
{578001.407848, 0.000000, 0.000000},
{1207.570702, 3.604260, 3340.612305},
{406.080041, 3.926313, 6681.224609},
{141.290481, 4.265940, 10021.836914},
{58.753723, 4.732100, 3.523100},
{49.849774, 4.612800, 13362.449219},
{29.017236, 4.459000, 2281.229980},
{23.194827, 5.016000, 398.148987},
{22.825424, 4.994000, 3344.135986},
{20.808652, 2.561000, 191.447998},
{20.736441, 5.316000, 155.419998},
{19.544820, 3.539000, 796.297974},
{17.720045, 4.963000, 16703.062500},
{16.822604, 3.160000, 2544.313965},
{14.352700, 4.569000, 2146.165039},
{13.000000, 1.329000, 3337.089111},
{12.569805, 4.185000, 1751.540039},
{11.575837, 2.233000, 0.980000},
{11.575837, 5.974000, 1748.015991},
{10.862780, 6.024000, 6151.534180},
{10.816654, 2.213000, 1059.381958},
{10.677078, 2.129000, 1194.447021},
{10.677078, 5.428000, 3738.760986},
{9.539392, 1.100000, 1349.869995},
{9.219544, 3.910000, 553.570007},
{9.110434, 5.300000, 6684.750000},
{9.000000, 4.430000, 529.690002},
{8.944272, 2.250000, 8962.459961},
{8.544004, 2.500000, 951.719971},
{8.544004, 5.840000, 242.729996},
{8.426150, 3.860000, 2914.010010},
{8.246211, 5.020000, 382.899994},
{8.062258, 1.020000, 3340.600098},
{8.062258, 3.050000, 3340.629883},
{7.874008, 4.150000, 3149.159912},
{7.549834, 3.890000, 4136.910156},
{6.928203, 4.870000, 213.300003},
{6.928203, 1.180000, 3333.500000},
{6.855655, 1.310000, 3185.189941},
{6.403124, 0.710000, 1592.599976},
{6.324555, 2.730000, 7.110000},
{6.324555, 5.320000, 20043.669922},
{5.744563, 5.410000, 6283.080078},
{5.291503, 0.050000, 9492.150391},
{5.196152, 3.890000, 1221.849976},
{5.196152, 5.110000, 2700.719971}
};
CONST VSOP87Coefficient L2MarsCoefficients[] =
{
{240.865107, 2.049790, 3340.612549},
{232.783161, 0.000000, 0.000000},
{117.932184, 2.457420, 6681.224609},
{49.648766, 2.800000, 10021.836914},
{19.949937, 3.141000, 13362.450195},
{14.899664, 3.194000, 3.523000},
{11.000000, 0.543000, 155.419998},
{7.874008, 3.490000, 16703.060547},
{7.348469, 3.540000, 3344.139893},
{5.830952, 6.000000, 2281.229980},
{5.656854, 4.140000, 191.449997},
{5.477226, 2.000000, 796.299988},
{4.795832, 4.330000, 242.729996},
{4.690416, 3.450000, 398.149994},
{4.472136, 5.420000, 553.570007},
{4.000000, 0.660000, 0.980000},
{4.000000, 6.110000, 2146.169922},
{4.000000, 1.220000, 1748.020020},
{3.872983, 6.100000, 3185.189941},
{3.741657, 4.020000, 951.719971},
{3.741657, 2.620000, 1349.869995},
{3.605551, 0.600000, 1194.449951},
{3.464102, 3.860000, 6684.750000},
{3.316625, 4.720000, 2544.310059},
{3.162278, 0.250000, 382.899994},
{3.000000, 0.680000, 1059.380005},
{3.000000, 3.830000, 20043.669922},
{3.000000, 3.880000, 3738.760010},
{2.828427, 5.460000, 1751.540039},
{2.645751, 2.580000, 3149.159912},
{2.645751, 2.380000, 4136.910156},
{2.449490, 5.480000, 1592.599976},
{2.449490, 2.340000, 3097.879883}
};
CONST VSOP87Coefficient L3MarsCoefficients[] =
{
{38.496753, 0.444300, 3340.612305},
{25.729361, 0.885000, 6681.225098},
{13.711309, 1.288000, 10021.836914},
{6.403124, 1.650000, 13362.450195},
{5.099020, 0.000000, 0.000000},
{4.795832, 2.050000, 155.419998},
{3.162278, 1.580000, 3.520000},
{2.828427, 2.000000, 16703.060547},
{2.236068, 2.820000, 242.729996},
{2.000000, 2.020000, 3344.139893},
{1.732051, 4.590000, 3185.189941},
{1.732051, 0.650000, 553.570007}
};
CONST VSOP87Coefficient L4MarsCoefficients[] =
{
{10.677078, 3.141600, 0.000000},
{5.385165, 5.640000, 6681.220215},
{4.898979, 5.140000, 3340.610107},
{3.316625, 6.030000, 10021.839844},
{1.732051, 0.130000, 13362.450195},
{1.732051, 3.560000, 155.419998},
{1.000000, 0.490000, 16703.060547},
{1.000000, 1.320000, 242.729996}
};
CONST VSOP87Coefficient L5MarsCoefficients[] =
{
{1.000000, 3.140000, 0.000000},
{1.000000, 4.040000, 6681.220215}
};
CONST VSOP87Coefficient B0MarsCoefficients[] =
{
{1788.053411, 3.768320, 3340.612305},
{545.923987, 4.106170, 6681.224609},
{537.684852, 0.000000, 0.000000},
{177.104489, 4.446510, 10021.836914},
{59.025418, 4.788100, 13362.449219},
{21.047565, 5.026000, 3344.135986},
{21.047565, 5.652000, 3337.089111},
{19.974984, 5.131000, 16703.062500},
{17.117243, 3.793000, 2281.229980},
{13.490738, 6.136000, 6151.534180},
{12.767145, 4.264000, 529.690979},
{12.649111, 2.232000, 1059.381958},
{12.206556, 2.165000, 5621.842773},
{11.958261, 1.182000, 3340.594971},
{11.958261, 3.213000, 3340.629883},
{11.789826, 2.418000, 8962.455078}
};
CONST VSOP87Coefficient B1MarsCoefficients[] =
{
{591.666291, 5.368478, 3340.612549},
{118.810774, 3.141590, 0.000000},
{98.341243, 5.478800, 6681.225098},
{38.366652, 3.202100, 10021.836914},
{20.639767, 3.408000, 13362.450195},
{10.099505, 0.776000, 3337.089111},
{8.888194, 3.720000, 16703.060547},
{5.744563, 3.460000, 5621.839844},
{5.099020, 2.480000, 2281.229980}
};
CONST VSOP87Coefficient B2MarsCoefficients[] =
{
{129.332904, 0.602210, 3340.612549},
{70.618694, 3.141600, 0.000000},
{17.378147, 5.559000, 6681.225098},
{5.099020, 1.900000, 13362.450195},
{4.582576, 0.920000, 10021.839844},
{3.464102, 2.240000, 3337.090088},
{2.828427, 2.250000, 16703.060547}
};
CONST VSOP87Coefficient B3MarsCoefficients[] =
{
{24.637370, 1.981000, 3340.612061},
{6.557439, 0.000000, 0.000000},
{3.741657, 1.800000, 6681.220215},
{1.732051, 3.450000, 10021.839844}
};
CONST VSOP87Coefficient B4MarsCoefficients[] =
{
{3.605551, 0.000000, 0.000000},
{3.316625, 3.460000, 3340.610107},
{1.000000, 0.500000, 6681.220215}
};
CONST VSOP87Coefficient R0MarsCoefficients[] =
{
{12370.670475, 0.000000, 0.000000},
{3766.291677, 3.479713, 3340.612305},
{812.881295, 3.817834, 6681.224609},
{214.892997, 4.155950, 10021.836914},
{90.055538, 5.559600, 2810.921387},
{86.515894, 1.772400, 5621.842773},
{74.316889, 1.364400, 2281.230469},
{61.846584, 4.494100, 13362.449219},
{49.839743, 4.925500, 2942.463379},
{48.031240, 0.090800, 2544.314453},
{44.710178, 5.360600, 3337.089355},
{44.271887, 4.742500, 3344.135498},
{34.161382, 2.112600, 5092.151855},
{33.211444, 5.009100, 398.148987},
{31.496031, 5.839000, 6151.534180},
{29.983329, 4.408000, 529.690979},
{28.407745, 2.102000, 1059.381958},
{28.248894, 3.448000, 796.297974},
{27.221315, 1.499000, 2146.165039},
{26.944387, 1.245000, 8432.763672},
{26.305893, 2.134000, 8962.455078},
{25.159491, 0.894000, 3340.594971},
{25.159491, 2.924000, 3340.629883},
{25.099801, 1.287000, 1751.540039},
{23.958297, 0.829000, 2914.013916},
{22.934690, 5.383000, 3738.760986},
{21.748563, 5.199000, 3127.312988},
{18.654758, 4.832000, 16703.062500},
{16.852300, 2.907000, 3532.061035},
{16.733201, 5.257000, 6283.076172},
{16.613248, 1.218000, 6254.626953},
{16.583124, 2.908000, 1748.015991},
{16.431677, 3.764000, 5884.926758},
{15.459625, 2.037000, 1194.447021},
{15.297059, 5.105000, 5486.777832},
{15.099669, 3.255000, 6872.672852},
{14.933185, 4.199000, 3149.164062},
{14.798649, 5.583000, 191.447998},
{14.422205, 5.255000, 3340.544922},
{14.422205, 4.846000, 3340.679932},
{13.638182, 5.699000, 6677.702148},
{13.527749, 5.081000, 6684.748047},
{13.379088, 4.184000, 3333.499023},
{13.266499, 5.953000, 3870.302979},
{12.806248, 3.799000, 4136.910156}
};
CONST VSOP87Coefficient R1MarsCoefficients[] =
{
{1052.346426, 2.032505, 3340.612305},
{321.210212, 2.370718, 6681.224609},
{113.476870, 0.000000, 0.000000},
{104.000000, 2.708880, 10021.836914},
{34.568772, 3.047000, 13362.449219},
{20.952327, 2.888000, 2281.229980},
{19.899749, 3.423000, 3344.135986},
{13.527749, 1.584000, 2544.313965},
{11.661904, 3.385000, 16703.062500},
{11.313708, 6.043000, 3337.089111},
{11.313708, 0.630000, 1059.381958},
{11.269428, 1.954000, 796.297974},
{10.862780, 2.998000, 2146.165039},
{9.380832, 3.420000, 398.149994},
{9.110434, 3.860000, 3738.760010},