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mercury.c
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// HDS OPE file Editor
// mercury.c : imported from libnova
// 2012.10.22 A.Tajitsu
/*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2 of the License, or (at your option) any later version.
*
* This library 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
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*
* Some functions in this file use the VSOP87 solution by
* Messrs. Bretagnon and Francou.
*
* Copyright (C) 2000 - 2005 Liam Girdwood
*/
#include <math.h>
#include "libnova/mercury.h"
#include "libnova/vsop87.h"
#include "libnova/solar.h"
#include "libnova/earth.h"
#include "libnova/transform.h"
#include "libnova/rise_set.h"
#include "libnova/utility.h"
#define LONG_L0 1583
#define LONG_L1 931
#define LONG_L2 438
#define LONG_L3 162
#define LONG_L4 23
#define LONG_L5 12
#define LAT_B0 818
#define LAT_B1 492
#define LAT_B2 231
#define LAT_B3 39
#define LAT_B4 13
#define LAT_B5 10
#define RADIUS_R0 1209
#define RADIUS_R1 706
#define RADIUS_R2 318
#define RADIUS_R3 111
#define RADIUS_R4 17
#define RADIUS_R5 10
/* cache variables */
static double cJD = 0, cL = 0, cB = 0, cR = 0;
static const struct ln_vsop mercury_longitude_l0[LONG_L0] = {
{ 4.40250710144, 0.00000000000, 0.00000000000},
{ 0.40989414977, 1.48302034195, 26087.90314157420},
{ 0.05046294200, 4.47785489551, 52175.80628314840},
{ 0.00855346844, 1.16520322459, 78263.70942472259},
{ 0.00165590362, 4.11969163423, 104351.61256629678},
{ 0.00034561897, 0.77930768443, 130439.51570787099},
{ 0.00007583476, 3.71348404924, 156527.41884944518},
{ 0.00003559745, 1.51202675145, 1109.37855209340},
{ 0.00001726011, 0.35832267096, 182615.32199101939},
{ 0.00001803464, 4.10333184211, 5661.33204915220},
{ 0.00001364681, 4.59918328256, 27197.28169366760},
{ 0.00001589923, 2.99510423560, 25028.52121138500},
{ 0.00001017332, 0.88031393824, 31749.23519072640},
{ 0.00000714182, 1.54144862493, 24978.52458948080},
{ 0.00000643759, 5.30266166599, 21535.94964451540},
{ 0.00000404200, 3.28228953196, 208703.22513259358},
{ 0.00000352442, 5.24156372447, 20426.57109242200},
{ 0.00000343312, 5.76531703870, 955.59974160860},
{ 0.00000339215, 5.86327825226, 25558.21217647960},
{ 0.00000451137, 6.04989282259, 51116.42435295920},
{ 0.00000325329, 1.33674488758, 53285.18483524180},
{ 0.00000259588, 0.98732774234, 4551.95349705880},
{ 0.00000345213, 2.79211954198, 15874.61759536320},
{ 0.00000272948, 2.49451165014, 529.69096509460},
{ 0.00000234831, 0.26672019191, 11322.66409830440},
{ 0.00000238793, 0.11343914400, 1059.38193018920},
{ 0.00000264336, 3.91705105199, 57837.13833230060},
{ 0.00000216645, 0.65987085507, 13521.75144159140},
{ 0.00000183358, 2.62878694178, 27043.50288318280},
{ 0.00000175965, 4.53636943501, 51066.42773105500},
{ 0.00000181629, 2.43413603252, 25661.30495069820},
{ 0.00000208996, 2.09178645677, 47623.85278608960},
{ 0.00000172642, 2.45200139206, 24498.83024629040},
{ 0.00000142317, 3.36004060149, 37410.56723987860},
{ 0.00000137943, 0.29098540695, 10213.28554621100},
{ 0.00000118233, 2.78149967294, 77204.32749453338},
{ 0.00000096860, 6.20398934398, 234791.12827416777},
{ 0.00000125219, 3.72079967668, 39609.65458316560},
{ 0.00000086819, 2.64218953915, 51646.11531805379},
{ 0.00000086723, 1.95952945936, 46514.47423399620},
{ 0.00000088330, 5.41338287192, 26617.59410666880},
{ 0.00000106422, 4.20572143374, 19804.82729158280},
{ 0.00000089987, 5.85243663953, 41962.52073693740},
{ 0.00000084970, 4.33100839394, 79373.08797681599},
{ 0.00000069247, 4.19446500577, 19.66976089979},
{ 0.00000063462, 3.14700988911, 7238.67559160000},
{ 0.00000068493, 0.63424913908, 83925.04147387479},
{ 0.00000069728, 3.57201999194, 25132.30339996560},
{ 0.00000059481, 2.74692562834, 16983.99614745660},
{ 0.00000064830, 0.04762450218, 33326.57873317420},
{ 0.00000055377, 4.05313774098, 30639.85663863300},
{ 0.00000054443, 3.14332489827, 27147.28507176339},
{ 0.00000047560, 5.49722123456, 3.88133535800},
{ 0.00000049567, 3.98985799218, 6770.71060124560},
{ 0.00000056532, 5.11921332252, 73711.75592766379},
{ 0.00000041764, 5.64184020485, 53131.40602475700},
{ 0.00000051459, 5.47786791090, 50586.73338786459},
{ 0.00000044745, 1.22367821919, 77154.33087262919},
{ 0.00000041882, 5.19309331936, 6283.07584999140},
{ 0.00000038045, 2.43118010131, 12566.15169998280},
{ 0.00000035627, 0.81389896255, 32858.61374281979},
{ 0.00000048008, 5.49260945754, 51749.20809227239},
{ 0.00000035393, 3.36964017301, 36301.18868778519},
{ 0.00000033952, 2.78617956300, 14765.23904326980},
{ 0.00000030560, 5.84043579595, 43071.89928903080},
{ 0.00000035964, 1.42379903884, 2218.75710418680},
{ 0.00000034044, 0.47470616849, 65697.55772473979},
{ 0.00000030800, 5.77017754761, 103292.23063610759},
{ 0.00000028497, 0.65049545721, 426.59819087600},
{ 0.00000026215, 5.24159685130, 22645.32819660879},
{ 0.00000026253, 0.64808296487, 1589.07289528380},
{ 0.00000029538, 0.69772207795, 213.29909543800},
{ 0.00000027505, 0.98011083160, 45892.73043315699},
{ 0.00000022347, 5.65336593067, 77734.01845962799},
{ 0.00000022047, 4.93396759824, 72602.37737557039},
{ 0.00000022275, 2.17909946933, 52705.49724824299},
{ 0.00000024253, 4.39994479508, 7.11354700080},
{ 0.00000026751, 1.06147352850, 3442.57494496540},
{ 0.00000023656, 2.84171550782, 260879.03141574195},
{ 0.00000022908, 2.58461108154, 68050.42387851159},
{ 0.00000027087, 0.08501671340, 63498.47038145279},
{ 0.00000022247, 3.22418752189, 25448.00585526019},
{ 0.00000017803, 3.61202758583, 110012.94461544899},
{ 0.00000022407, 1.02519770236, 105460.99111839019},
{ 0.00000017576, 4.71743981697, 25874.60404613620},
{ 0.00000018587, 4.52707983519, 28306.66024576099},
{ 0.00000014176, 6.12393941824, 53235.18821333759},
{ 0.00000014185, 5.14248515833, 26068.23338067440},
{ 0.00000017244, 0.28394283830, 51220.20654153979},
{ 0.00000017176, 3.26084148462, 153.77881048480},
{ 0.00000014939, 1.83543553823, 99799.65906923798},
{ 0.00000013389, 0.76569062416, 56727.75978020720},
{ 0.00000013978, 2.30196369782, 76674.63652943878},
{ 0.00000014428, 0.96645616238, 26107.57290247399},
{ 0.00000011991, 6.20493040602, 18849.22754997420},
{ 0.00000014381, 1.90954650143, 23969.13928119580},
{ 0.00000011233, 2.04816282167, 32370.97899156560},
{ 0.00000013387, 4.51756775840, 26080.78959457339},
{ 0.00000011632, 2.38496112750, 79219.30916633119},
{ 0.00000012412, 2.22281109320, 77837.11123384659},
{ 0.00000009950, 2.04595599803, 48733.23133818299},
{ 0.00000009803, 2.26703539620, 26091.78447693220},
{ 0.00000009361, 5.44289482405, 38654.05484155699},
{ 0.00000009746, 3.83975715814, 26084.02180621620},
{ 0.00000009264, 4.02987321949, 467.96499035440},
{ 0.00000008961, 0.11065043662, 62389.09182935939},
{ 0.00000011544, 4.17786977391, 103242.23401420339},
{ 0.00000011146, 3.78295646170, 26301.20223701220},
{ 0.00000009677, 2.98528938781, 59414.48187474840},
{ 0.00000008977, 3.47890335185, 91785.46086631398},
{ 0.00000009664, 5.77943268592, 25938.33994443960},
{ 0.00000008855, 2.84674490228, 25035.63475838580},
{ 0.00000008180, 5.77857984038, 40853.14218484400},
{ 0.00000008033, 2.45698456693, 129380.13377768178},
{ 0.00000008343, 5.34502885776, 19317.19254032860},
{ 0.00000007425, 4.71160285382, 6.62855890001},
{ 0.00000009001, 6.23397065428, 25021.40766438420},
{ 0.00000008126, 1.12294678263, 26095.01668857500},
{ 0.00000006568, 3.66246087364, 26514.50133245020},
{ 0.00000007038, 3.99042086727, 71980.63357473118},
{ 0.00000006956, 1.62821293256, 23869.14603738740},
{ 0.00000007595, 0.18335017533, 12432.04265039780},
{ 0.00000006061, 3.67045619806, 27676.97603685800},
{ 0.00000005896, 5.57171840811, 94138.32702008578},
{ 0.00000005716, 5.18202059613, 78793.40038981718},
{ 0.00000005854, 2.14305101727, 20760.42703319140},
{ 0.00000005680, 1.60728089799, 98690.28051714458},
{ 0.00000005789, 2.35464263941, 103821.92160120218},
{ 0.00000005124, 3.77854984569, 58946.51688439399},
{ 0.00000005869, 5.76284651190, 286966.93455731616},
{ 0.00000005858, 6.12539769557, 26011.63707029860},
{ 0.00000005216, 3.29188857438, 38519.94579197200},
{ 0.00000006000, 0.00056823654, 51535.90899683439},
{ 0.00000004647, 0.29029324438, 136100.84775702319},
{ 0.00000005787, 4.44778418175, 19406.67828817460},
{ 0.00000005908, 4.12201530508, 29530.47808653960},
{ 0.00000005917, 3.98935947283, 131548.89425996438},
{ 0.00000005729, 3.02328937218, 89586.37352302698},
{ 0.00000003928, 4.81446546705, 125887.56221081219},
{ 0.00000003930, 2.48445582384, 69159.80243060499},
{ 0.00000003681, 2.80184812919, 79323.09135491178},
{ 0.00000004497, 1.50332900944, 51962.50718771040},
{ 0.00000003687, 5.33731853178, 102762.53967101299},
{ 0.00000003495, 1.85405073784, 52156.13652224860},
{ 0.00000003868, 1.25354721052, 54394.56338733519},
{ 0.00000004459, 4.88906500860, 50057.04242277000},
{ 0.00000003397, 3.73895635453, 82815.66292178139},
{ 0.00000003524, 6.07665334083, 25934.12433108940},
{ 0.00000003492, 1.28212999580, 52168.69273614759},
{ 0.00000003410, 6.13975533859, 639.89728631400},
{ 0.00000004396, 3.25474698374, 77308.10968311399},
{ 0.00000002990, 5.27320912825, 46848.33017476560},
{ 0.00000003218, 5.20951952570, 103925.01437542078},
{ 0.00000002899, 5.08446931064, 58458.88213313979},
{ 0.00000003708, 0.02716119180, 26241.68195205900},
{ 0.00000002991, 2.92282776454, 44937.13069154840},
{ 0.00000003177, 0.05757316718, 22747.29071487440},
{ 0.00000003163, 5.38719447649, 105307.21230790539},
{ 0.00000003556, 3.96232550668, 52195.47604404819},
{ 0.00000002786, 0.54711208086, 52389.10537858640},
{ 0.00000002458, 1.14914981714, 2333.19639287200},
{ 0.00000002492, 5.24929906471, 25668.41849769900},
{ 0.00000002408, 2.14206640426, 64741.95798313119},
{ 0.00000002512, 0.61953030750, 85034.42002596818},
{ 0.00000002416, 5.26205009423, 52179.68761850640},
{ 0.00000002296, 3.09905229352, 88476.99497093359},
{ 0.00000002357, 0.17755751938, 117873.36400788819},
{ 0.00000003012, 0.83692018918, 129330.13715577759},
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