1 /* 2 * This library is free software; you can redistribute it and/or 3 * modify it under the terms of the GNU Lesser General Public 4 * License as published by the Free Software Foundation; either 5 * version 2 of the License, or (at your option) any later version. 6 * 7 * This library is distributed in the hope that it will be useful, 8 * but WITHOUT ANY WARRANTY; without even the implied warranty of 9 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 10 * Lesser General Public License for more details. 11 * 12 * You should have received a copy of the GNU General Public License 13 * along with this program; if not, write to the Free Software 14 * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. 15 * 16 * Some functions in this file use the VSOP87 solution by 17 * Messrs. Bretagnon and Francou. 18 * 19 * Copyright (C) 2000 - 2005 Liam Girdwood <lgirdwood@gmail.com> 20 */ 21 22 module nova.venus; 23 24 import std.math; 25 import nova.venus; 26 import nova.vsop87; 27 import nova.solar; 28 import nova.earth; 29 import nova.transform; 30 import nova.rise_set; 31 import nova.utility; 32 33 public import nova.ln_types; 34 35 enum LONG_L0 = 416; 36 enum LONG_L1 = 235; 37 enum LONG_L2 = 72; 38 enum LONG_L3 = 7; 39 enum LONG_L4 = 4; 40 enum LONG_L5 = 2; 41 enum LAT_B0 = 210; 42 enum LAT_B1 = 121; 43 enum LAT_B2 = 51; 44 enum LAT_B3 = 12; 45 enum LAT_B4 = 4; 46 enum LAT_B5 = 4; 47 enum RADIUS_R0 = 323; 48 enum RADIUS_R1 = 174; 49 enum RADIUS_R2 = 62; 50 enum RADIUS_R3 = 8; 51 enum RADIUS_R4 = 3; 52 enum RADIUS_R5 = 2; 53 54 /* cache variables */ 55 static double cJD = 0.0, cL = 0.0, cB = 0.0, cR = 0.0; 56 57 static const ln_vsop[LONG_L0] venus_longitude_l0 = [ 58 { 3.17614666774, 0.00000000000, 0.00000000000}, 59 { 0.01353968419, 5.59313319619, 10213.28554621100}, 60 { 0.00089891645, 5.30650047764, 20426.57109242200}, 61 { 0.00005477194, 4.41630661466, 7860.41939243920}, 62 { 0.00003455741, 2.69964447820, 11790.62908865880}, 63 { 0.00002372061, 2.99377542079, 3930.20969621960}, 64 { 0.00001317168, 5.18668228402, 26.29831979980}, 65 { 0.00001664146, 4.25018630147, 1577.34354244780}, 66 { 0.00001438387, 4.15745084182, 9683.59458111640}, 67 { 0.00001200521, 6.15357116043, 30639.85663863300}, 68 { 0.00000761380, 1.95014701047, 529.69096509460}, 69 { 0.00000707676, 1.06466702668, 775.52261132400}, 70 { 0.00000584836, 3.99839888230, 191.44826611160}, 71 { 0.00000769314, 0.81629615196, 9437.76293488700}, 72 { 0.00000499915, 4.12340212820, 15720.83878487840}, 73 { 0.00000326221, 4.59056477038, 10404.73381232260}, 74 { 0.00000429498, 3.58642858577, 19367.18916223280}, 75 { 0.00000326967, 5.67736584311, 5507.55323866740}, 76 { 0.00000231937, 3.16251059356, 9153.90361602180}, 77 { 0.00000179695, 4.65337908917, 1109.37855209340}, 78 { 0.00000128263, 4.22604490814, 20.77539549240}, 79 { 0.00000155464, 5.57043891690, 19651.04848109800}, 80 { 0.00000127907, 0.96209781904, 5661.33204915220}, 81 { 0.00000105547, 1.53721203088, 801.82093112380}, 82 { 0.00000085722, 0.35589247720, 3154.68708489560}, 83 { 0.00000099121, 0.83288208931, 213.29909543800}, 84 { 0.00000098804, 5.39389623302, 13367.97263110660}, 85 { 0.00000082094, 3.21597037872, 18837.49819713819}, 86 { 0.00000088031, 3.88868864136, 9999.98645077300}, 87 { 0.00000071577, 0.11145736657, 11015.10647733480}, 88 { 0.00000056122, 4.24039842051, 7.11354700080}, 89 { 0.00000070239, 0.67458825333, 23581.25817731760}, 90 { 0.00000050796, 0.24531639097, 11322.66409830440}, 91 { 0.00000046111, 5.31576442737, 18073.70493865020}, 92 { 0.00000044576, 6.06281108312, 40853.14218484400}, 93 { 0.00000042594, 5.32873395426, 2352.86615377180}, 94 { 0.00000042635, 1.79955442721, 7084.89678111520}, 95 { 0.00000041177, 0.36241012200, 382.89653222320}, 96 { 0.00000035749, 2.70448479527, 10206.17199921020}, 97 { 0.00000033893, 2.02347385644, 6283.07584999140}, 98 { 0.00000029170, 3.59117396909, 22003.91463486980}, 99 { 0.00000028479, 2.22375430133, 1059.38193018920}, 100 { 0.00000029850, 4.02177029338, 10239.58386601080}, 101 { 0.00000033252, 2.10025580495, 27511.46787353720}, 102 { 0.00000030172, 4.94191918273, 13745.34623902240}, 103 { 0.00000029252, 3.51392387787, 283.85931886520}, 104 { 0.00000024424, 2.70177487840, 8624.21265092720}, 105 { 0.00000020274, 3.79493777545, 14143.49524243060}, 106 { 0.00000024322, 4.27814493315, 5.52292430740}, 107 { 0.00000026260, 0.54067510171, 17298.18232732620}, 108 { 0.00000020492, 0.58547075036, 38.02767263580}, 109 { 0.00000018988, 4.13811517967, 4551.95349705880}, 110 { 0.00000023739, 4.82870820701, 6872.67311951120}, 111 { 0.00000015953, 1.50376176156, 8635.94200376320}, 112 { 0.00000019069, 6.12025555817, 29050.78374334920}, 113 { 0.00000018269, 3.04740409161, 19999.97290154599}, 114 { 0.00000013656, 4.41336264990, 3532.06069281140}, 115 { 0.00000017118, 3.51922693724, 31441.67756975680}, 116 { 0.00000010955, 2.84562940868, 18307.80723204360}, 117 { 0.00000011048, 2.58361219121, 9786.68735533500}, 118 { 0.00000009904, 1.08737985358, 7064.12138562280}, 119 { 0.00000010576, 0.85419798194, 10596.18207843420}, 120 { 0.00000009235, 5.52461085424, 12566.15169998280}, 121 { 0.00000011599, 5.81007484555, 19896.88012732740}, 122 { 0.00000011807, 1.91250004145, 21228.39202354580}, 123 { 0.00000010105, 2.34270729521, 10742.97651130560}, 124 { 0.00000008154, 1.92331359797, 15.25247118500}, 125 { 0.00000008893, 1.97291419659, 10186.98722641120}, 126 { 0.00000009352, 4.94508838657, 35371.88726597640}, 127 { 0.00000006821, 4.39733528050, 8662.24032356300}, 128 { 0.00000006688, 1.55309955053, 14945.31617355440}, 129 { 0.00000006413, 2.17677578364, 10988.80815753500}, 130 { 0.00000005802, 1.93461898145, 3340.61242669980}, 131 { 0.00000005950, 2.96578177047, 4732.03062734340}, 132 { 0.00000005275, 5.01875399411, 28286.99048486120}, 133 { 0.00000007047, 1.00111452053, 632.78373931320}, 134 { 0.00000005048, 4.27886655804, 29580.47470844380}, 135 { 0.00000006305, 0.35506330531, 103.09277421860}, 136 { 0.00000005959, 5.04792949123, 245.83164622940}, 137 { 0.00000004651, 0.85216995524, 6770.71060124560}, 138 { 0.00000005580, 0.48723420248, 522.57741809380}, 139 { 0.00000005327, 3.03115799765, 10021.83728009940}, 140 { 0.00000005010, 5.77374296245, 28521.09277825460}, 141 { 0.00000004608, 1.93302031704, 4705.73230754360}, 142 { 0.00000005526, 3.36797150122, 25158.60171976540}, 143 { 0.00000003863, 4.89351765621, 25934.12433108940}, 144 { 0.00000005303, 0.08161035601, 39302.09696219600}, 145 { 0.00000004254, 5.36046525146, 21535.94964451540}, 146 { 0.00000003763, 1.05304597315, 19.66976089979}, 147 { 0.00000004407, 4.02575372996, 74.78159856730}, 148 { 0.00000004145, 1.14356412295, 9676.48103411560}, 149 { 0.00000004318, 4.38289970585, 316.39186965660}, 150 { 0.00000003642, 6.11733531450, 3128.38876509580}, 151 { 0.00000003238, 5.39551036769, 419.48464387520}, 152 { 0.00000003909, 4.05263635330, 9690.70812811720}, 153 { 0.00000003173, 0.74132026653, 16496.36139620240}, 154 { 0.00000003496, 0.72415151509, 3723.50895892300}, 155 { 0.00000003755, 3.80208523566, 19786.67380610799}, 156 { 0.00000003016, 1.57249073681, 17277.40693183380}, 157 { 0.00000002858, 3.31246198673, 32217.20018108080}, 158 { 0.00000003825, 0.19612307327, 426.59819087600}, 159 { 0.00000003798, 0.45524571743, 10316.37832042960}, 160 { 0.00000002570, 1.20813798183, 13936.79450513400}, 161 { 0.00000002796, 3.65128969074, 206.18554843720}, 162 { 0.00000002466, 3.61988425580, 1551.04522264800}, 163 { 0.00000003108, 1.50324979041, 43232.30665841560}, 164 { 0.00000002976, 4.79414174980, 29088.81141598500}, 165 { 0.00000002196, 3.57357339264, 24356.78078864160}, 166 { 0.00000002227, 4.96059090976, 536.80451209540}, 167 { 0.00000002397, 3.45249688427, 19374.30270923360}, 168 { 0.00000002462, 0.53295346740, 19360.07561523199}, 169 { 0.00000002205, 2.70398708223, 12592.45001978260}, 170 { 0.00000002230, 3.01413989795, 18875.52586977400}, 171 { 0.00000001858, 4.06129093893, 2379.16447357160}, 172 { 0.00000001807, 3.15086244011, 9573.38825989700}, 173 { 0.00000002238, 5.52216925076, 10138.50394764370}, 174 { 0.00000002195, 2.32046407873, 8094.52168583260}, 175 { 0.00000002101, 2.90421302974, 9967.45389998160}, 176 { 0.00000001916, 4.56513913980, 2218.75710418680}, 177 { 0.00000001467, 2.42640162464, 10234.06094170340}, 178 { 0.00000001726, 5.59790615295, 20452.86941222180}, 179 { 0.00000001455, 2.44757225671, 1589.07289528380}, 180 { 0.00000001991, 4.04623282256, 31749.23519072640}, 181 { 0.00000001406, 2.71737807375, 16983.99614745660}, 182 { 0.00000001658, 0.11252373292, 153.77881048480}, 183 { 0.00000001851, 2.92897863746, 47162.51635463520}, 184 { 0.00000001492, 1.07515446511, 9103.90699411760}, 185 { 0.00000001247, 2.48433636140, 17778.11626694899}, 186 { 0.00000001549, 4.20555105766, 3442.57494496540}, 187 { 0.00000001243, 3.95452438599, 170.67287061920}, 188 { 0.00000001694, 6.20691533902, 33019.02111220460}, 189 { 0.00000001221, 4.77932060567, 30110.16567353840}, 190 { 0.00000001206, 0.30531254531, 29864.33402730900}, 191 { 0.00000001238, 5.05581030425, 20213.27199698400}, 192 { 0.00000001152, 3.26229919481, 11.72935283600}, 193 { 0.00000001179, 1.69491078238, 20400.27277262220}, 194 { 0.00000001165, 2.88995128147, 574.34479833480}, 195 { 0.00000001306, 0.14519568603, 9146.79006902100}, 196 { 0.00000001113, 1.52599723495, 10426.58464164900}, 197 { 0.00000001045, 0.57538516899, 15874.61759536320}, 198 { 0.00000001105, 2.54593760294, 18849.22754997420}, 199 { 0.00000001360, 2.41974967161, 38734.37832446560}, 200 { 0.00000000981, 4.37930757970, 110.20632121940}, 201 { 0.00000001146, 4.54241415687, 10220.39909321180}, 202 { 0.00000001091, 0.48630333703, 51066.42773105500}, 203 { 0.00000000981, 1.65915064734, 10103.07922499160}, 204 { 0.00000001270, 4.69374306132, 9050.81084180320}, 205 { 0.00000001065, 4.41646204804, 22805.73556599360}, 206 { 0.00000000854, 2.34437927295, 6681.22485339960}, 207 { 0.00000001104, 0.49781459714, 1.48447270830}, 208 { 0.00000001075, 1.09857593161, 377.37360791580}, 209 { 0.00000001114, 4.35024212108, 51092.72605085480}, 210 { 0.00000000829, 5.41196376472, 27991.40181316000}, 211 { 0.00000000900, 2.74195213638, 41962.52073693740}, 212 { 0.00000001010, 2.96092073452, 135.62532501000}, 213 { 0.00000000768, 3.98260860494, 18844.61174413899}, 214 { 0.00000001018, 1.36889990282, 36949.23080842420}, 215 { 0.00000000725, 1.67729445754, 21202.09370374600}, 216 { 0.00000000727, 0.89048212541, 467.96499035440}, 217 { 0.00000000869, 2.93235455158, 10192.51015071860}, 218 { 0.00000000696, 5.35698039414, 10063.72234907640}, 219 { 0.00000000920, 4.17128923588, 18734.40542291960}, 220 { 0.00000000691, 1.50594847085, 27197.28169366760}, 221 { 0.00000000835, 0.48049677664, 20618.01935853360}, 222 { 0.00000000711, 0.19750098222, 18830.38465013739}, 223 { 0.00000000811, 0.16685071959, 12432.04265039780}, 224 { 0.00000000756, 3.79022449760, 9161.01716302260}, 225 { 0.00000000622, 5.33660452826, 9411.46461508720}, 226 { 0.00000000862, 5.72705356405, 10175.15251057320}, 227 { 0.00000000853, 0.10404194066, 2107.03450754240}, 228 { 0.00000000742, 3.96365892051, 813.55028395980}, 229 { 0.00000000705, 0.71229660616, 220.41264243880}, 230 { 0.00000000584, 1.71900692700, 36.02786667740}, 231 { 0.00000000612, 0.36418385449, 949.17560896980}, 232 { 0.00000000587, 1.58648949290, 6.62855890001}, 233 { 0.00000000581, 5.49288908804, 6309.37416979120}, 234 { 0.00000000581, 4.80362317972, 24150.08005134500}, 235 { 0.00000000516, 6.07328802561, 38.13303563780}, 236 { 0.00000000627, 5.47281424955, 9580.50180689780}, 237 { 0.00000000601, 1.40500080384, 1162.47470440780}, 238 { 0.00000000620, 4.00681042667, 9992.87290377220}, 239 { 0.00000000611, 3.62010998629, 7255.56965173440}, 240 { 0.00000000697, 2.22359630727, 348.92442044800}, 241 { 0.00000000569, 0.23482601786, 37410.56723987860}, 242 { 0.00000000693, 5.77432072851, 55022.93574707440}, 243 { 0.00000000494, 0.29762226375, 7058.59846131540}, 244 { 0.00000000487, 5.86917216517, 10137.01947493540}, 245 { 0.00000000493, 2.04534833854, 735.87651353180}, 246 { 0.00000000636, 2.79707415908, 40879.44050464380}, 247 { 0.00000000519, 4.13931655130, 16522.65971600220}, 248 { 0.00000000535, 4.60569597820, 19573.37471066999}, 249 { 0.00000000555, 5.88120469821, 26735.94526221320}, 250 { 0.00000000440, 5.61490952812, 23958.63178523340}, 251 { 0.00000000541, 0.62494922735, 10007.09999777380}, 252 { 0.00000000427, 4.02335620501, 14.22709400160}, 253 { 0.00000000434, 0.29028429049, 9264.10993724120}, 254 { 0.00000000451, 1.66321968415, 26087.90314157420}, 255 { 0.00000000422, 3.38413582674, 10787.63034454580}, 256 { 0.00000000568, 5.14001584538, 27490.69247804480}, 257 { 0.00000000421, 4.23407420790, 39793.76025465480}, 258 { 0.00000000458, 5.28786368820, 49.75702547180}, 259 { 0.00000000418, 5.69090817000, 14765.23904326980}, 260 { 0.00000000475, 0.97544690438, 1052.26838318840}, 261 { 0.00000000387, 4.41665162999, 21.85082932640}, 262 { 0.00000000523, 2.90512729055, 20235.12282631040}, 263 { 0.00000000506, 5.26999240626, 29999.95935231900}, 264 { 0.00000000530, 0.71374608018, 33794.54372352860}, 265 { 0.00000000434, 2.49892103222, 20956.26205751660}, 266 { 0.00000000382, 1.92119365480, 3.93215326310}, 267 { 0.00000000365, 3.81713155389, 20419.45754542119}, 268 { 0.00000000426, 2.06384189772, 38204.68735937100}, 269 { 0.00000000496, 0.44077356179, 9835.91193829520}, 270 { 0.00000000410, 4.93346330078, 19264.09638801420}, 271 { 0.00000000380, 3.79573339943, 8521.11987670860}, 272 { 0.00000000334, 5.51158557800, 10251.31321884680}, 273 { 0.00000000412, 2.56129670728, 77.67377042800}, 274 { 0.00000000418, 2.37865963521, 32.53255079140}, 275 { 0.00000000325, 6.03020523465, 18947.70451835760}, 276 { 0.00000000400, 0.91999360201, 227.47613278900}, 277 { 0.00000000437, 0.91420135162, 58953.14544329400}, 278 { 0.00000000360, 0.82477639126, 22.77520145080}, 279 { 0.00000000413, 4.22381925464, 44809.65020086340}, 280 { 0.00000000375, 3.15657291896, 19992.85935454519}, 281 { 0.00000000371, 6.05370874275, 20007.08644854680}, 282 { 0.00000000361, 5.44371227904, 19470.28193645139}, 283 { 0.00000000386, 5.28104804025, 47623.85278608960}, 284 { 0.00000000389, 0.73216672240, 19050.79729257620}, 285 { 0.00000000320, 2.84811591194, 10199.05845220940}, 286 { 0.00000000386, 3.88754165531, 1975.49254585600}, 287 { 0.00000000279, 0.50274101065, 9830.38901398780}, 288 { 0.00000000276, 4.33978638152, 20809.46762464520}, 289 { 0.00000000309, 3.79299100668, 18204.71445782499}, 290 { 0.00000000377, 0.73768790585, 11506.76976979360}, 291 { 0.00000000322, 0.96113438814, 30666.15495843280}, 292 { 0.00000000363, 1.30472406690, 9367.20271145980}, 293 { 0.00000000366, 2.79974205585, 11272.66747640020}, 294 { 0.00000000271, 4.66141338193, 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194.97138446060}, 313 { 0.00000000191, 2.49267248333, 568.82187402740}, 314 { 0.00000000231, 0.85116556400, 52670.06959330260}, 315 { 0.00000000250, 1.52909737354, 6037.24420376200}, 316 { 0.00000000231, 5.23674429498, 491.66329245880}, 317 { 0.00000000182, 4.98046042571, 18418.01355326299}, 318 { 0.00000000188, 2.82273639603, 1385.89527633620}, 319 { 0.00000000204, 4.09938646222, 14919.01785375460}, 320 { 0.00000000176, 3.82400982460, 9360.08916445900}, 321 { 0.00000000198, 2.76491873243, 10217.21769947410}, 322 { 0.00000000168, 5.19268690225, 1066.49547719000}, 323 { 0.00000000199, 1.95274291865, 7564.83072073800}, 324 { 0.00000000172, 5.29332134227, 11764.33076885900}, 325 { 0.00000000164, 3.25435371801, 3914.95722503460}, 326 { 0.00000000200, 3.82443218090, 18314.92077904440}, 327 { 0.00000000203, 5.93253927885, 8617.09910392640}, 328 { 0.00000000169, 1.78341902846, 31022.75317085620}, 329 { 0.00000000160, 2.84901702400, 10207.76262190360}, 330 { 0.00000000159, 2.09236390117, 17248.42530185440}, 331 { 0.00000000179, 0.90840065587, 7880.08915333899}, 332 { 0.00000000163, 2.79665037814, 41.55079098480}, 333 { 0.00000000153, 0.07463240782, 28528.20632525540}, 334 { 0.00000000199, 2.48348609726, 34596.36465465240}, 335 { 0.00000000149, 2.59213969874, 43071.89928903080}, 336 { 0.00000000149, 2.17259986337, 9929.42622734580}, 337 { 0.00000000156, 5.20953676299, 22645.32819660879}, 338 { 0.00000000148, 2.94331271107, 41654.96311596780}, 339 { 0.00000000149, 4.49800344900, 30831.30490474460}, 340 { 0.00000000159, 2.11138069179, 19317.19254032860}, 341 { 0.00000000154, 2.76536164654, 28513.97923125379}, 342 { 0.00000000140, 4.94595038686, 9256.99639024040}, 343 { 0.00000000141, 2.57248608474, 13553.89797291080}, 344 { 0.00000000137, 1.66482327575, 2636.72547263700}, 345 { 0.00000000136, 4.14497573316, 2333.19639287200}, 346 { 0.00000000133, 3.91457156721, 32858.61374281979}, 347 { 0.00000000140, 2.90644630691, 48947.66387067660}, 348 { 0.00000000156, 6.01143377008, 29057.89729034999}, 349 { 0.00000000134, 5.75241675118, 68050.42387851159}, 350 { 0.00000000154, 3.66827363753, 276.74577186440}, 351 { 0.00000000176, 3.77298381177, 66813.56483573320}, 352 { 0.00000000126, 5.00217740223, 27461.71084806540}, 353 { 0.00000000135, 1.34807013920, 53285.18483524180}, 354 { 0.00000000150, 0.25029475344, 290.97286586600}, 355 { 0.00000000152, 3.13035647340, 29043.67019634839}, 356 { 0.00000000169, 5.04348109430, 73.29712585900}, 357 { 0.00000000166, 5.39219948035, 41236.03871706720}, 358 { 0.00000000115, 2.02657557658, 37674.99639427640}, 359 { 0.00000000163, 5.59796070948, 7576.56007357400}, 360 { 0.00000000126, 0.77391784606, 49.99662190420}, 361 { 0.00000000163, 0.44241846674, 20350.30502114640}, 362 { 0.00000000136, 3.09066368912, 418.92439890060}, 363 { 0.00000000154, 0.47086190960, 28418.00000403600}, 364 { 0.00000000125, 5.46344374133, 22779.43724619380}, 365 { 0.00000000136, 4.17495174196, 42430.48572729180}, 366 { 0.00000000120, 0.88537349448, 29573.36116144300}, 367 { 0.00000000132, 1.48003093721, 17085.95866572220}, 368 { 0.00000000126, 1.39497760964, 966.97087743560}, 369 { 0.00000000126, 0.16302255819, 67589.08744705719}, 370 { 0.00000000111, 2.50223464050, 20405.79569692960}, 371 { 0.00000000143, 3.84026797958, 14128.24277124560}, 372 { 0.00000000108, 4.57687521213, 30426.55754319500}, 373 { 0.00000000147, 2.11609860260, 34363.36559755600}, 374 { 0.00000000133, 1.07792835035, 20639.87018786000}, 375 { 0.00000000106, 1.43873202489, 27682.14074415640}, 376 { 0.00000000149, 0.09286508794, 8144.27871130440}, 377 { 0.00000000103, 0.01992041470, 18300.69368504279}, 378 { 0.00000000116, 5.27605692179, 8734.41897214660}, 379 { 0.00000000121, 3.57602835443, 45.14121963660}, 380 { 0.00000000125, 0.11630302078, 149.56319713460}, 381 { 0.00000000108, 5.23732413902, 14169.79356223040}, 382 { 0.00000000113, 4.57267032764, 20447.34648791440}, 383 { 0.00000000099, 1.51324741656, 10419.47109464820}, 384 { 0.00000000105, 1.70350302928, 19580.48825767080}, 385 { 0.00000000133, 3.02183293676, 76251.32777062019}, 386 { 0.00000000136, 4.17517197268, 3646.35037735440}, 387 { 0.00000000097, 6.25332492425, 10198.03307502600}, 388 { 0.00000000123, 0.44045588682, 515.46387109300}, 389 { 0.00000000129, 3.95296865191, 38526.57435087200}, 390 { 0.00000000113, 5.69261397722, 10110.19277199240}, 391 { 0.00000000098, 6.23797900467, 202.25339517410}, 392 { 0.00000000099, 3.75627530197, 59728.66805461800}, 393 { 0.00000000101, 4.62832512136, 65236.22129328540}, 394 { 0.00000000111, 1.25947267592, 10846.06928552420}, 395 { 0.00000000126, 4.45075374981, 80181.53746683979}, 396 { 0.00000000110, 5.87454529350, 38500.27603107220}, 397 { 0.00000000093, 0.03768705119, 90695.75207512038}, 398 { 0.00000000128, 6.01024562160, 90394.82301305079}, 399 { 0.00000000091, 1.77665981007, 1539.31586981200}, 400 { 0.00000000092, 0.99804571578, 95.97922721780}, 401 { 0.00000000117, 2.24143299549, 56600.27928952220}, 402 { 0.00000000118, 6.09121325940, 29786.66025688100}, 403 { 0.00000000098, 4.60938156207, 11787.10597030980}, 404 { 0.00000000097, 3.92727733144, 11794.15220700780}, 405 { 0.00000000085, 5.30575031807, 19624.75016129820}, 406 { 0.00000000106, 0.82812501368, 24383.07910844140}, 407 { 0.00000000085, 5.69642646462, 37703.97802425580}, 408 { 0.00000000114, 5.19676285428, 70743.77453195279}, 409 { 0.00000000081, 5.51324815184, 412.37109687440}, 410 { 0.00000000080, 5.77520799089, 10632.77019008620}, 411 { 0.00000000089, 2.13409771828, 44768.09940987860}, 412 { 0.00000000094, 2.18120919704, 28313.28880466100}, 413 { 0.00000000088, 0.57046254096, 3956.50801601940}, 414 { 0.00000000078, 4.47358603432, 114.43928868521}, 415 { 0.00000000104, 4.94045302010, 45585.17281218740}, 416 { 0.00000000097, 4.02223363553, 10218.80847051840}, 417 { 0.00000000094, 5.81137122373, 69166.43098950500}, 418 { 0.00000000076, 0.78247116213, 9793.80090233580}, 419 { 0.00000000079, 4.73339536112, 24978.52458948080}, 420 { 0.00000000101, 4.81437377872, 58177.62283197000}, 421 { 0.00000000097, 3.61746670975, 60530.48898574180}, 422 { 0.00000000088, 4.87010387338, 63658.87775083760}, 423 { 0.00000000088, 5.17408120336, 48417.97290558199}, 424 { 0.00000000078, 5.81927313665, 567.71863773040}, 425 { 0.00000000077, 6.16012067704, 1573.82042409880}, 426 { 0.00000000084, 0.62512782571, 18100.00325845000}, 427 { 0.00000000076, 5.12867208321, 49515.38250840700}, 428 { 0.00000000067, 0.24541021814, 17271.88400752640}, 429 { 0.00000000069, 0.29569499496, 10175.25787357520}, 430 { 0.00000000088, 5.43871184563, 42456.78404709160}, 431 { 0.00000000079, 0.30211728530, 63498.47038145279}, 432 { 0.00000000080, 2.69571879625, 3149.16416058820}, 433 { 0.00000000061, 4.80385228047, 19889.76658032659}, 434 { 0.00000000084, 0.22956807093, 88817.47947060299}, 435 { 0.00000000060, 0.46406912136, 36301.18868778519}, 436 { 0.00000000071, 0.76007659495, 57837.13833230060}, 437 { 0.00000000081, 5.24314123043, 36173.70819710020}, 438 { 0.00000000057, 3.07470109636, 2118.76386037840}, 439 { 0.00000000075, 0.66947402578, 10735.86296430480}, 440 { 0.00000000058, 4.94877232192, 47888.28194048740}, 441 { 0.00000000068, 0.96147256965, 24341.52831745660}, 442 { 0.00000000076, 0.15485592669, 68390.90837818099}, 443 { 0.00000000064, 3.61826420613, 32243.49850088060}, 444 { 0.00000000062, 1.59487827272, 39999.94580309200}, 445 { 0.00000000063, 0.16823121009, 53445.59220462660}, 446 { 0.00000000052, 2.85553976522, 10323.49186743040}, 447 { 0.00000000058, 1.07613515145, 11692.15212027540}, 448 { 0.00000000052, 2.34807495268, 26709.64694241340}, 449 { 0.00000000062, 4.09802218900, 34554.81386366760}, 450 { 0.00000000048, 0.76057327599, 44783.35188106360}, 451 { 0.00000000067, 0.07870600216, 47964.33728575900}, 452 { 0.00000000048, 5.30855519348, 48733.23133818299}, 453 { 0.00000000047, 3.09314000663, 70269.18098269838}, 454 { 0.00000000053, 5.53372176617, 19903.99367432819}, 455 { 0.00000000057, 2.43412854215, 10228.53801739600}, 456 { 0.00000000043, 6.00071261364, 47938.03896595920}, 457 { 0.00000000058, 1.23233304711, 59754.96637441780}, 458 { 0.00000000055, 0.99068063794, 21000.91589075680}, 459 { 0.00000000060, 5.94539126752, 69968.25192062880}, 460 { 0.00000000049, 3.83996757537, 38631.28555024700}, 461 { 0.00000000042, 4.73460925987, 37895.42629036740}, 462 { 0.00000000044, 1.75905995399, 71519.29714327680}, 463 { 0.00000000043, 6.08746206685, 2957.71589447660}, 464 { 0.00000000040, 1.31794872194, 20529.66386664059}, 465 { 0.00000000046, 4.41749158726, 34570.06633485260}, 466 { 0.00000000045, 2.60413561993, 58101.56748669840}, 467 { 0.00000000037, 4.69673401538, 44007.82926973960}, 468 { 0.00000000039, 2.32823034676, 55798.45835839840}, 469 { 0.00000000051, 1.76846419002, 78604.19392439199}, 470 { 0.00000000038, 1.28879356308, 73096.64068572459}, 471 { 0.00000000048, 1.18664500846, 28306.66024576099}, 472 { 0.00000000036, 0.64770877031, 1478.86657406440}, 473 { 0.00000000048, 0.40666475573, 40103.91789331980}, 474 ]; 475 476 477 static const ln_vsop[LONG_L1] venus_longitude_l1 = [ 478 { 10213.28554621638, 0.00000000000, 0.00000000000}, 479 { 0.00095617813, 2.46406511110, 10213.28554621100}, 480 { 0.00007787201, 0.62478482220, 20426.57109242200}, 481 { 0.00000151666, 6.10638559291, 1577.34354244780}, 482 { 0.00000141694, 2.12362986036, 30639.85663863300}, 483 { 0.00000173908, 2.65539499463, 26.29831979980}, 484 { 0.00000082235, 5.70231469551, 191.44826611160}, 485 { 0.00000069732, 2.68128549229, 9437.76293488700}, 486 { 0.00000052292, 3.60270736876, 775.52261132400}, 487 { 0.00000038313, 1.03371309443, 529.69096509460}, 488 { 0.00000029630, 1.25050823203, 5507.55323866740}, 489 { 0.00000025056, 6.10650638660, 10404.73381232260}, 490 { 0.00000017772, 6.19369679929, 1109.37855209340}, 491 { 0.00000016510, 2.64360813203, 7.11354700080}, 492 { 0.00000014231, 5.45125927817, 9153.90361602180}, 493 { 0.00000011627, 4.97604433638, 213.29909543800}, 494 { 0.00000012563, 1.88122194951, 382.89653222320}, 495 { 0.00000008877, 0.95245393457, 13367.97263110660}, 496 { 0.00000007374, 4.39476352550, 10206.17199921020}, 497 { 0.00000006550, 2.28168331756, 2352.86615377180}, 498 { 0.00000006444, 1.41156299643, 40853.14218484400}, 499 { 0.00000006269, 4.08365791523, 3154.68708489560}, 500 { 0.00000006702, 5.05916048534, 801.82093112380}, 501 { 0.00000004099, 4.12235848112, 18837.49819713819}, 502 { 0.00000004883, 3.44513438224, 11015.10647733480}, 503 { 0.00000003549, 6.19934345402, 5.52292430740}, 504 { 0.00000003448, 1.77404222413, 11322.66409830440}, 505 { 0.00000004290, 0.08136342862, 6283.07584999140}, 506 { 0.00000003699, 2.48455675849, 5661.33204915220}, 507 { 0.00000003671, 1.48751015918, 1059.38193018920}, 508 { 0.00000003018, 2.23849523296, 18073.70493865020}, 509 { 0.00000003000, 0.39169917698, 15.25247118500}, 510 { 0.00000002776, 1.45644767378, 10239.58386601080}, 511 { 0.00000002463, 0.36768007007, 22003.91463486980}, 512 { 0.00000002954, 5.34806371393, 7084.89678111520}, 513 { 0.00000002350, 2.36543900882, 17298.18232732620}, 514 { 0.00000002405, 2.36085521516, 10596.18207843420}, 515 { 0.00000002471, 2.11327686375, 8635.94200376320}, 516 { 0.00000001717, 4.72125604095, 10186.98722641120}, 517 { 0.00000002135, 4.46350370275, 8624.21265092720}, 518 { 0.00000001626, 0.86147271429, 12566.15169998280}, 519 { 0.00000001523, 0.67189933187, 14143.49524243060}, 520 { 0.00000001473, 2.59350470099, 7064.12138562280}, 521 { 0.00000001474, 5.92233777117, 9786.68735533500}, 522 { 0.00000001237, 2.59741927942, 4551.95349705880}, 523 { 0.00000001219, 2.83617320089, 9676.48103411560}, 524 { 0.00000001242, 0.82080840456, 10742.97651130560}, 525 { 0.00000001007, 4.25205211647, 426.59819087600}, 526 { 0.00000001097, 3.84455455465, 21228.39202354580}, 527 { 0.00000001150, 2.35531987378, 9690.70812811720}, 528 { 0.00000001219, 2.27326005102, 522.57741809380}, 529 { 0.00000001101, 3.74248862749, 18307.80723204360}, 530 { 0.00000001031, 2.03889374176, 38.02767263580}, 531 { 0.00000000971, 6.10589743884, 3532.06069281140}, 532 { 0.00000000887, 4.72636674421, 10988.80815753500}, 533 { 0.00000000927, 1.05402087347, 10021.83728009940}, 534 { 0.00000000821, 2.60456032773, 19.66976089979}, 535 { 0.00000000780, 0.18364413336, 4705.73230754360}, 536 { 0.00000000810, 1.32033186808, 19896.88012732740}, 537 { 0.00000000744, 3.33129743110, 536.80451209540}, 538 { 0.00000000797, 2.23891817601, 3723.50895892300}, 539 { 0.00000000709, 5.95126881058, 20.77539549240}, 540 { 0.00000000894, 1.08522968560, 11790.62908865880}, 541 { 0.00000000660, 0.29717009501, 7860.41939243920}, 542 { 0.00000000733, 2.22147883292, 19360.07561523199}, 543 { 0.00000000702, 1.76206343944, 19374.30270923360}, 544 { 0.00000000633, 2.15202166788, 16496.36139620240}, 545 { 0.00000000575, 2.38792087791, 6770.71060124560}, 546 { 0.00000000532, 4.41576130890, 574.34479833480}, 547 { 0.00000000518, 1.52546538858, 25934.12433108940}, 548 { 0.00000000479, 0.30473233584, 28286.99048486120}, 549 { 0.00000000576, 5.41170044566, 206.18554843720}, 550 { 0.00000000482, 0.40816741074, 3340.61242669980}, 551 { 0.00000000537, 0.22055767322, 19367.18916223280}, 552 { 0.00000000574, 4.07672246337, 19651.04848109800}, 553 { 0.00000000501, 3.08578363577, 245.83164622940}, 554 { 0.00000000488, 5.22318430105, 25158.60171976540}, 555 { 0.00000000450, 0.21279844600, 11.72935283600}, 556 { 0.00000000432, 1.32004964493, 103.09277421860}, 557 { 0.00000000434, 5.91094755233, 19786.67380610799}, 558 { 0.00000000421, 2.71057839701, 13936.79450513400}, 559 { 0.00000000564, 6.13266504618, 3930.20969621960}, 560 { 0.00000000478, 4.70225377704, 14945.31617355440}, 561 { 0.00000000408, 2.93857115699, 10220.39909321180}, 562 { 0.00000000359, 0.72354778897, 419.48464387520}, 563 { 0.00000000449, 1.44520508753, 8662.24032356300}, 564 { 0.00000000353, 2.85616596224, 29864.33402730900}, 565 { 0.00000000333, 1.41991315364, 29580.47470844380}, 566 { 0.00000000443, 1.93864343247, 9146.79006902100}, 567 { 0.00000000310, 1.08363376581, 20618.01935853360}, 568 { 0.00000000324, 1.80146948625, 18830.38465013739}, 569 { 0.00000000370, 6.16895004656, 2218.75710418680}, 570 { 0.00000000278, 2.20429108375, 18844.61174413899}, 571 { 0.00000000286, 3.08458231517, 17277.40693183380}, 572 { 0.00000000383, 0.13900678695, 4732.03062734340}, 573 { 0.00000000292, 0.43530118043, 29088.81141598500}, 574 { 0.00000000273, 5.84415383782, 9573.38825989700}, 575 { 0.00000000324, 2.14135439540, 9999.98645077300}, 576 { 0.00000000264, 5.20407029554, 220.41264243880}, 577 { 0.00000000254, 0.34417665274, 28521.09277825460}, 578 { 0.00000000300, 3.76015126903, 8094.52168583260}, 579 { 0.00000000303, 1.85088655195, 1589.07289528380}, 580 { 0.00000000206, 2.49682541324, 51066.42773105500}, 581 { 0.00000000206, 0.97144383633, 10234.06094170340}, 582 { 0.00000000212, 0.24173677600, 36.02786667740}, 583 { 0.00000000208, 5.19345603406, 24356.78078864160}, 584 { 0.00000000216, 5.88607943223, 18875.52586977400}, 585 { 0.00000000258, 6.27611237676, 1551.04522264800}, 586 { 0.00000000200, 2.09314510849, 9683.59458111640}, 587 { 0.00000000217, 5.79530885159, 9103.90699411760}, 588 { 0.00000000188, 0.39123199129, 19573.37471066999}, 589 { 0.00000000187, 5.49670351645, 170.67287061920}, 590 { 0.00000000233, 3.85755192539, 20400.27277262220}, 591 { 0.00000000178, 4.90042854659, 10787.63034454580}, 592 { 0.00000000188, 1.62614657498, 9161.01716302260}, 593 { 0.00000000177, 1.88170417337, 33019.02111220460}, 594 { 0.00000000209, 2.66033526608, 3442.57494496540}, 595 { 0.00000000164, 5.04773317971, 32217.20018108080}, 596 { 0.00000000162, 4.92736966968, 10426.58464164900}, 597 { 0.00000000186, 5.13678812068, 7255.56965173440}, 598 { 0.00000000177, 5.70206821967, 9992.87290377220}, 599 { 0.00000000177, 2.40042123486, 20452.86941222180}, 600 { 0.00000000212, 2.73881400176, 3128.38876509580}, 601 { 0.00000000208, 3.38876526854, 17778.11626694899}, 602 { 0.00000000173, 4.09215943674, 33794.54372352860}, 603 { 0.00000000147, 4.25008910034, 16983.99614745660}, 604 { 0.00000000189, 1.43553862242, 2379.16447357160}, 605 { 0.00000000139, 2.99154379541, 110.20632121940}, 606 { 0.00000000159, 5.23851679605, 10007.09999777380}, 607 { 0.00000000169, 2.67970563071, 15720.83878487840}, 608 { 0.00000000136, 0.88942869764, 22805.73556599360}, 609 { 0.00000000155, 5.90500835975, 12592.45001978260}, 610 { 0.00000000151, 0.03422618975, 27991.40181316000}, 611 { 0.00000000111, 0.77661072477, 6681.22485339960}, 612 { 0.00000000109, 2.25388616761, 26735.94526221320}, 613 { 0.00000000122, 4.84805105466, 19992.85935454519}, 614 { 0.00000000112, 3.31796669604, 36949.23080842420}, 615 { 0.00000000106, 3.34507236765, 10103.07922499160}, 616 { 0.00000000114, 4.36384000196, 20007.08644854680}, 617 { 0.00000000121, 5.42385293514, 37724.75341974820}, 618 { 0.00000000100, 0.05731448574, 30110.16567353840}, 619 { 0.00000000098, 5.07711736751, 135.62532501000}, 620 { 0.00000000109, 0.54849921587, 21535.94964451540}, 621 { 0.00000000104, 3.67555714699, 21202.09370374600}, 622 { 0.00000000103, 2.65873403125, 20213.27199698400}, 623 { 0.00000000087, 5.04316754485, 9830.38901398780}, 624 { 0.00000000103, 2.01542881355, 45585.17281218740}, 625 { 0.00000000088, 2.62613816931, 21.85082932640}, 626 { 0.00000000084, 3.50355880173, 639.89728631400}, 627 { 0.00000000099, 0.61072730211, 41654.96311596780}, 628 { 0.00000000081, 0.46468679835, 77.67377042800}, 629 { 0.00000000092, 4.82530051729, 29043.67019634839}, 630 { 0.00000000090, 4.34075776744, 29057.89729034999}, 631 { 0.00000000081, 0.01915973453, 24150.08005134500}, 632 { 0.00000000095, 2.42613786510, 23581.25817731760}, 633 { 0.00000000101, 4.27032438869, 15874.61759536320}, 634 { 0.00000000093, 1.79250830018, 12432.04265039780}, 635 { 0.00000000087, 5.25157021446, 14128.24277124560}, 636 { 0.00000000089, 5.65756996753, 377.37360791580}, 637 { 0.00000000076, 1.32618111784, 18300.69368504279}, 638 { 0.00000000097, 5.67942873241, 227.47613278900}, 639 { 0.00000000076, 2.93363913259, 38204.68735937100}, 640 { 0.00000000091, 2.60544242067, 1052.26838318840}, 641 { 0.00000000084, 5.65355105405, 17468.85519794540}, 642 { 0.00000000082, 0.14972353998, 29050.78374334920}, 643 { 0.00000000086, 1.42751065635, 11272.66747640020}, 644 { 0.00000000073, 4.75280755154, 40879.44050464380}, 645 { 0.00000000068, 3.56578829793, 30666.15495843280}, 646 { 0.00000000068, 5.80655405181, 20809.46762464520}, 647 { 0.00000000079, 3.84440385450, 27511.46787353720}, 648 { 0.00000000067, 3.74236733721, 49515.38250840700}, 649 { 0.00000000064, 4.24772678145, 153.77881048480}, 650 { 0.00000000064, 2.99454749109, 27197.28169366760}, 651 { 0.00000000070, 4.03868009742, 56600.27928952220}, 652 { 0.00000000069, 1.73648747605, 37410.56723987860}, 653 { 0.00000000065, 1.08206062736, 68050.42387851159}, 654 { 0.00000000062, 4.77698454650, 3914.95722503460}, 655 { 0.00000000068, 4.28465793234, 39264.06928956020}, 656 { 0.00000000061, 4.96121014691, 34596.36465465240}, 657 { 0.00000000058, 3.74010494151, 1066.49547719000}, 658 { 0.00000000063, 0.15331622244, 57375.80190084620}, 659 { 0.00000000057, 5.42590958930, 20419.45754542119}, 660 { 0.00000000057, 3.59399518494, 735.87651353180}, 661 { 0.00000000065, 2.10322000074, 74.78159856730}, 662 { 0.00000000065, 4.21150522641, 49.75702547180}, 663 { 0.00000000052, 0.03409255574, 18849.22754997420}, 664 { 0.00000000052, 1.95168272115, 18314.92077904440}, 665 { 0.00000000055, 2.63906959481, 52670.06959330260}, 666 { 0.00000000057, 1.25081330234, 10218.80847051840}, 667 { 0.00000000053, 2.14346912907, 13745.34623902240}, 668 { 0.00000000049, 0.77417108584, 35371.88726597640}, 669 { 0.00000000048, 6.00565977593, 283.85931886520}, 670 { 0.00000000050, 4.45949921607, 40077.61957352000}, 671 { 0.00000000047, 2.63299859494, 51868.24866217880}, 672 { 0.00000000046, 0.05105081843, 38526.57435087200}, 673 { 0.00000000050, 4.37549274002, 28513.97923125379}, 674 { 0.00000000046, 2.93422086586, 27682.14074415640}, 675 { 0.00000000062, 0.41777498261, 30831.30490474460}, 676 { 0.00000000053, 1.55276873128, 36301.18868778519}, 677 { 0.00000000051, 5.45979584751, 60530.48898574180}, 678 { 0.00000000051, 2.02307685593, 59728.66805461800}, 679 { 0.00000000045, 5.59492908223, 467.96499035440}, 680 { 0.00000000046, 5.16141298965, 53445.59220462660}, 681 { 0.00000000045, 5.79863400674, 39793.76025465480}, 682 { 0.00000000044, 2.35499883188, 9411.46461508720}, 683 { 0.00000000043, 5.62725673544, 14.22709400160}, 684 { 0.00000000047, 3.73567275749, 64460.69868196140}, 685 { 0.00000000041, 4.11417818861, 14765.23904326980}, 686 { 0.00000000039, 0.99375127466, 94138.32702008578}, 687 { 0.00000000040, 3.06358586355, 813.55028395980}, 688 { 0.00000000039, 6.21378797479, 44809.65020086340}, 689 { 0.00000000038, 5.90441887648, 14919.01785375460}, 690 { 0.00000000037, 1.08711907413, 17085.95866572220}, 691 { 0.00000000039, 1.31034025695, 48739.85989708300}, 692 { 0.00000000047, 1.46478876042, 38500.27603107220}, 693 { 0.00000000045, 5.84053368365, 37674.99639427640}, 694 { 0.00000000036, 1.43280677914, 42456.78404709160}, 695 { 0.00000000039, 0.94257393865, 16522.65971600220}, 696 { 0.00000000035, 3.00235738584, 36147.40987730040}, 697 { 0.00000000031, 1.04908493403, 20235.12282631040}, 698 { 0.00000000029, 2.40482238520, 22779.43724619380}, 699 { 0.00000000032, 0.41152109043, 10207.76262190360}, 700 { 0.00000000028, 4.55982574192, 69166.43098950500}, 701 { 0.00000000026, 5.74236795898, 31441.67756975680}, 702 { 0.00000000027, 0.29541194003, 19999.97290154599}, 703 { 0.00000000033, 4.76470012256, 32858.61374281979}, 704 { 0.00000000032, 2.73060531796, 42430.48572729180}, 705 { 0.00000000031, 6.16859793641, 10192.51015071860}, 706 { 0.00000000022, 5.00575021321, 38741.49187146640}, 707 { 0.00000000023, 1.31610007722, 41962.52073693740}, 708 { 0.00000000025, 3.71847476472, 55798.45835839840}, 709 { 0.00000000020, 3.45607652624, 51092.72605085480}, 710 { 0.00000000022, 4.07064236572, 77026.85038194420}, 711 { 0.00000000020, 3.00992711288, 24383.07910844140}, 712 { 0.00000000023, 2.62973172963, 17248.42530185440}, 713 ]; 714 715 716 static const ln_vsop[LONG_L2] venus_longitude_l2 = [ 717 { 0.00003894209, 0.34823650721, 10213.28554621100}, 718 { 0.00000595403, 2.01456107998, 20426.57109242200}, 719 { 0.00000287868, 0.00000000000, 0.00000000000}, 720 { 0.00000023838, 2.04588223604, 26.29831979980}, 721 { 0.00000009964, 3.97089333901, 775.52261132400}, 722 { 0.00000007196, 3.65730119531, 30639.85663863300}, 723 { 0.00000007043, 1.52107808192, 1577.34354244780}, 724 { 0.00000006014, 1.00039990357, 191.44826611160}, 725 { 0.00000003167, 4.36138169912, 9437.76293488700}, 726 { 0.00000001934, 3.39260216059, 382.89653222320}, 727 { 0.00000001459, 6.05311371882, 529.69096509460}, 728 { 0.00000001345, 2.94746266562, 5507.55323866740}, 729 { 0.00000001024, 1.40825326249, 10404.73381232260}, 730 { 0.00000001224, 3.73276078401, 3154.68708489560}, 731 { 0.00000001033, 3.52850062173, 11015.10647733480}, 732 { 0.00000000767, 2.69606070058, 40853.14218484400}, 733 { 0.00000000954, 5.11160150203, 801.82093112380}, 734 { 0.00000000742, 1.49195106907, 1109.37855209340}, 735 { 0.00000000525, 3.31953730020, 213.29909543800}, 736 { 0.00000000574, 0.92286899335, 10239.58386601080}, 737 { 0.00000000602, 5.19233174414, 7084.89678111520}, 738 { 0.00000000430, 2.67149013569, 13367.97263110660}, 739 { 0.00000000414, 4.12761290944, 8635.94200376320}, 740 { 0.00000000354, 1.12184896586, 9153.90361602180}, 741 { 0.00000000301, 3.90093359463, 10596.18207843420}, 742 { 0.00000000212, 5.32697962605, 18837.49819713819}, 743 { 0.00000000260, 0.22263894789, 2352.86615377180}, 744 { 0.00000000238, 4.67681098719, 6283.07584999140}, 745 { 0.00000000201, 4.08110855678, 11790.62908865880}, 746 { 0.00000000194, 6.02724392286, 7860.41939243920}, 747 { 0.00000000142, 2.26680009846, 12566.15169998280}, 748 { 0.00000000134, 4.10542992676, 17298.18232732620}, 749 { 0.00000000132, 4.94076356419, 14143.49524243060}, 750 { 0.00000000120, 3.39720208207, 11322.66409830440}, 751 { 0.00000000122, 5.92478855457, 574.34479833480}, 752 { 0.00000000123, 0.09583563880, 18073.70493865020}, 753 { 0.00000000093, 0.40064005550, 1059.38193018920}, 754 { 0.00000000092, 5.49232517605, 10021.83728009940}, 755 { 0.00000000084, 4.89826807621, 18307.80723204360}, 756 { 0.00000000074, 2.35249523388, 426.59819087600}, 757 { 0.00000000093, 4.99308589840, 14945.31617355440}, 758 { 0.00000000082, 5.40423993574, 10186.98722641120}, 759 { 0.00000000077, 3.75197709593, 3723.50895892300}, 760 { 0.00000000073, 4.51758491759, 22003.91463486980}, 761 { 0.00000000063, 5.40172448808, 21228.39202354580}, 762 { 0.00000000056, 4.11553639116, 7064.12138562280}, 763 { 0.00000000060, 4.93370008569, 19367.18916223280}, 764 { 0.00000000049, 3.25379905760, 4705.73230754360}, 765 { 0.00000000050, 3.77184609210, 16496.36139620240}, 766 { 0.00000000046, 3.47336429841, 24356.78078864160}, 767 { 0.00000000039, 4.90344944830, 10988.80815753500}, 768 { 0.00000000043, 5.95093813100, 15720.83878487840}, 769 { 0.00000000046, 0.17122496786, 18875.52586977400}, 770 { 0.00000000036, 0.01596424782, 32217.20018108080}, 771 { 0.00000000034, 4.09532663146, 51066.42773105500}, 772 { 0.00000000035, 5.21393402819, 29088.81141598500}, 773 { 0.00000000038, 5.09836948659, 20400.27277262220}, 774 { 0.00000000031, 4.74821153380, 28521.09277825460}, 775 { 0.00000000034, 0.23500259595, 1551.04522264800}, 776 { 0.00000000028, 6.22734256170, 19896.88012732740}, 777 { 0.00000000027, 2.91232520372, 20452.86941222180}, 778 { 0.00000000024, 0.49535690639, 21202.09370374600}, 779 { 0.00000000022, 0.66358494216, 25158.60171976540}, 780 { 0.00000000021, 4.95420122738, 28286.99048486120}, 781 { 0.00000000023, 2.15949646745, 20618.01935853360}, 782 { 0.00000000017, 5.75476455324, 19651.04848109800}, 783 { 0.00000000014, 4.88424354153, 10742.97651130560}, 784 { 0.00000000016, 1.22245134655, 9683.59458111640}, 785 { 0.00000000012, 3.40005378661, 9830.38901398780}, 786 { 0.00000000012, 6.06704683094, 25934.12433108940}, 787 { 0.00000000011, 3.73596829532, 4732.03062734340}, 788 { 0.00000000010, 5.50483756065, 29580.47470844380}, 789 ]; 790 791 792 static const ln_vsop[LONG_L3] venus_longitude_l3 = [ 793 { 0.00000136328, 4.79698723753, 10213.28554621100}, 794 { 0.00000030661, 3.71663788064, 20426.57109242200}, 795 { 0.00000003041, 3.14159265359, 0.00000000000}, 796 { 0.00000000506, 5.34186957078, 30639.85663863300}, 797 { 0.00000000071, 4.27707588774, 40853.14218484400}, 798 { 0.00000000008, 1.76653383282, 10186.98722641120}, 799 { 0.00000000006, 5.61707828538, 10239.58386601080}, 800 ]; 801 802 803 static const ln_vsop[LONG_L4] venus_longitude_l4 = [ 804 { 0.00000001636, 2.50540811485, 10213.28554621100}, 805 { 0.00000001080, 5.10106236574, 20426.57109242200}, 806 { 0.00000000018, 0.88315856739, 30639.85663863300}, 807 { 0.00000000005, 5.76650226003, 40853.14218484400}, 808 ]; 809 810 811 static const ln_vsop[LONG_L5] venus_longitude_l5 = [ 812 { 0.00000000122, 1.88711724630, 10213.28554621100}, 813 { 0.00000000043, 0.42125909290, 20426.57109242200}, 814 ]; 815 816 817 static const ln_vsop[LAT_B0] venus_latitude_b0 = [ 818 { 0.05923638472, 0.26702775812, 10213.28554621100}, 819 { 0.00040107978, 1.14737178112, 20426.57109242200}, 820 { 0.00032814918, 3.14159265359, 0.00000000000}, 821 { 0.00001011392, 1.08946119730, 30639.85663863300}, 822 { 0.00000149458, 6.25390268112, 18073.70493865020}, 823 { 0.00000137788, 0.86020095586, 1577.34354244780}, 824 { 0.00000129973, 3.67152480061, 9437.76293488700}, 825 { 0.00000119507, 3.70468787104, 2352.86615377180}, 826 { 0.00000107971, 4.53903678347, 22003.91463486980}, 827 { 0.00000092029, 1.53954519783, 9153.90361602180}, 828 { 0.00000052982, 2.28138198002, 5507.55323866740}, 829 { 0.00000045617, 0.72319646289, 10239.58386601080}, 830 { 0.00000038855, 2.93437865147, 10186.98722641120}, 831 { 0.00000043491, 6.14015779106, 11790.62908865880}, 832 { 0.00000041700, 5.99126840013, 19896.88012732740}, 833 { 0.00000039644, 3.86842103668, 8635.94200376320}, 834 { 0.00000039175, 3.94960158566, 529.69096509460}, 835 { 0.00000033320, 4.83194901518, 14143.49524243060}, 836 { 0.00000023711, 2.90647469167, 10988.80815753500}, 837 { 0.00000023501, 2.00771051056, 13367.97263110660}, 838 { 0.00000021809, 2.69701690731, 19651.04848109800}, 839 { 0.00000020653, 0.98666980431, 775.52261132400}, 840 { 0.00000016976, 4.13711781587, 10021.83728009940}, 841 { 0.00000017835, 5.96267283261, 25934.12433108940}, 842 { 0.00000014949, 5.61073907363, 10404.73381232260}, 843 { 0.00000018579, 1.80529274878, 40853.14218484400}, 844 { 0.00000015408, 3.29564350192, 11015.10647733480}, 845 { 0.00000012936, 5.42651380854, 29580.47470844380}, 846 { 0.00000011961, 3.57602108535, 10742.97651130560}, 847 { 0.00000011827, 1.19069755007, 8624.21265092720}, 848 { 0.00000011466, 5.12780356163, 6283.07584999140}, 849 { 0.00000009485, 2.75168410372, 191.44826611160}, 850 { 0.00000013129, 5.70734244216, 9683.59458111640}, 851 { 0.00000008583, 0.43182249198, 9786.68735533500}, 852 { 0.00000009762, 0.14614751233, 20618.01935853360}, 853 { 0.00000008149, 1.30548940012, 15720.83878487840}, 854 { 0.00000006050, 6.26541666310, 11322.66409830440}, 855 { 0.00000005955, 4.92234246004, 1059.38193018920}, 856 { 0.00000006983, 3.44922389028, 17298.18232732620}, 857 { 0.00000006228, 1.13312066423, 29864.33402730900}, 858 { 0.00000006186, 4.92496803755, 19367.18916223280}, 859 { 0.00000006155, 2.42413936688, 4705.73230754360}, 860 { 0.00000005204, 3.42528894645, 9103.90699411760}, 861 { 0.00000006000, 3.57638441137, 3154.68708489560}, 862 { 0.00000004795, 3.86669268805, 7860.41939243920}, 863 { 0.00000005290, 4.99182440452, 7084.89678111520}, 864 { 0.00000004070, 5.58794939725, 12566.15169998280}, 865 { 0.00000003942, 5.68758787835, 10206.17199921020}, 866 { 0.00000003797, 3.89520601076, 10192.51015071860}, 867 { 0.00000003798, 6.06410995916, 10234.06094170340}, 868 { 0.00000003579, 0.73789669232, 4551.95349705880}, 869 { 0.00000003641, 2.61501257209, 15874.61759536320}, 870 { 0.00000003266, 0.97519046577, 23581.25817731760}, 871 { 0.00000002813, 0.29952168976, 9411.46461508720}, 872 { 0.00000003048, 2.51084795752, 33794.54372352860}, 873 { 0.00000002559, 4.58049120677, 801.82093112380}, 874 { 0.00000002462, 5.05797190589, 29050.78374334920}, 875 { 0.00000002593, 5.73113176750, 20213.27199698400}, 876 { 0.00000002625, 4.24272906572, 213.29909543800}, 877 { 0.00000002246, 0.82114581737, 28286.99048486120}, 878 { 0.00000002229, 2.22457598233, 10426.58464164900}, 879 { 0.00000001742, 1.48397982399, 7058.59846131540}, 880 { 0.00000001660, 5.42775872173, 32217.20018108080}, 881 { 0.00000001491, 4.64880136152, 1109.37855209340}, 882 { 0.00000002010, 0.75702888130, 9999.98645077300}, 883 { 0.00000001563, 3.93962296253, 37724.75341974820}, 884 { 0.00000001538, 2.17314207854, 21535.94964451540}, 885 { 0.00000001546, 4.70759129230, 14945.31617355440}, 886 { 0.00000001200, 1.48266337604, 9830.38901398780}, 887 { 0.00000001224, 5.55090394425, 5661.33204915220}, 888 { 0.00000001111, 1.20281402179, 9573.38825989700}, 889 { 0.00000001064, 1.98891375551, 26.29831979980}, 890 { 0.00000001041, 5.38535116069, 7.11354700080}, 891 { 0.00000001036, 1.16727012915, 8662.24032356300}, 892 { 0.00000001143, 3.20596958339, 3532.06069281140}, 893 { 0.00000001201, 0.81922498884, 8094.52168583260}, 894 { 0.00000001005, 2.38430401606, 27511.46787353720}, 895 { 0.00000001047, 4.56525030764, 20419.45754542119}, 896 { 0.00000000968, 6.18496285828, 25158.60171976540}, 897 { 0.00000001044, 1.98033274400, 10596.18207843420}, 898 { 0.00000000962, 0.48573513747, 23958.63178523340}, 899 { 0.00000000846, 0.01577122167, 3128.38876509580}, 900 { 0.00000000792, 5.39683788914, 24356.78078864160}, 901 { 0.00000000858, 5.34721623594, 41654.96311596780}, 902 { 0.00000000758, 6.25923864937, 20452.86941222180}, 903 { 0.00000000801, 4.62406152514, 9929.42622734580}, 904 { 0.00000000802, 5.37234892520, 10497.14486507620}, 905 { 0.00000000750, 3.85221291360, 21228.39202354580}, 906 { 0.00000000701, 1.98087454891, 3930.20969621960}, 907 { 0.00000000719, 6.11596800207, 10218.80847051840}, 908 { 0.00000000672, 6.23429601211, 14765.23904326980}, 909 { 0.00000000639, 5.37595576896, 1589.07289528380}, 910 { 0.00000000605, 2.42330391120, 10251.31321884680}, 911 { 0.00000000726, 6.16679714176, 18875.52586977400}, 912 { 0.00000000613, 5.99731180692, 4732.03062734340}, 913 { 0.00000000720, 3.84286345199, 10207.76262190360}, 914 { 0.00000000637, 6.17053891151, 10220.39909321180}, 915 { 0.00000000515, 1.03004255543, 22779.43724619380}, 916 { 0.00000000574, 0.43826866390, 17085.95866572220}, 917 { 0.00000000510, 1.41066951048, 9161.01716302260}, 918 { 0.00000000569, 3.34606383399, 3340.61242669980}, 919 { 0.00000000608, 1.25236241968, 10175.25787357520}, 920 { 0.00000000524, 2.39794248664, 26087.90314157420}, 921 { 0.00000000543, 1.34669062643, 29088.81141598500}, 922 { 0.00000000527, 4.02005650673, 18849.22754997420}, 923 { 0.00000000568, 1.65449906239, 39264.06928956020}, 924 { 0.00000000518, 4.96996115441, 30213.25844775700}, 925 { 0.00000000515, 5.78424359731, 12592.45001978260}, 926 { 0.00000000538, 4.56198503482, 10063.72234907640}, 927 { 0.00000000484, 4.18570967634, 14919.01785375460}, 928 { 0.00000000493, 4.79953014808, 9146.79006902100}, 929 { 0.00000000427, 3.76882042266, 11272.66747640020}, 930 { 0.00000000495, 0.49176119118, 45585.17281218740}, 931 { 0.00000000495, 3.74294537743, 31441.67756975680}, 932 { 0.00000000524, 0.97969838972, 30110.16567353840}, 933 { 0.00000000483, 1.87898083461, 51066.42773105500}, 934 { 0.00000000505, 3.70047474052, 20400.27277262220}, 935 { 0.00000000351, 4.34026574490, 10137.01947493540}, 936 { 0.00000000356, 5.56743301907, 18837.49819713819}, 937 { 0.00000000328, 3.78427378911, 6681.22485339960}, 938 { 0.00000000349, 4.20513745358, 20956.26205751660}, 939 { 0.00000000333, 4.44934899983, 28521.09277825460}, 940 { 0.00000000296, 2.83205515647, 17277.40693183380}, 941 { 0.00000000311, 2.57313811169, 20809.46762464520}, 942 { 0.00000000294, 0.75089224483, 3149.16416058820}, 943 { 0.00000000377, 3.98143310344, 21202.09370374600}, 944 { 0.00000000272, 5.56146064111, 16496.36139620240}, 945 { 0.00000000314, 0.02584607106, 13745.34623902240}, 946 { 0.00000000263, 0.55359290511, 36147.40987730040}, 947 { 0.00000000286, 5.16408902152, 426.59819087600}, 948 { 0.00000000279, 4.29871616015, 19999.97290154599}, 949 { 0.00000000280, 1.92923790310, 49515.38250840700}, 950 { 0.00000000265, 4.81161712090, 20235.12282631040}, 951 { 0.00000000273, 5.12739677980, 35371.88726597640}, 952 { 0.00000000307, 5.28914601501, 382.89653222320}, 953 { 0.00000000223, 2.50591295336, 26709.64694241340}, 954 { 0.00000000235, 5.96522395118, 10198.03307502600}, 955 { 0.00000000234, 3.52866583267, 10228.53801739600}, 956 { 0.00000000224, 6.24561979791, 7064.12138562280}, 957 { 0.00000000251, 2.84752569358, 33019.02111220460}, 958 { 0.00000000196, 1.50610823821, 31749.23519072640}, 959 { 0.00000000192, 1.69322019350, 13341.67431130680}, 960 { 0.00000000180, 6.19353102835, 39793.76025465480}, 961 { 0.00000000199, 1.16466425386, 22805.73556599360}, 962 { 0.00000000180, 3.72630445822, 1551.04522264800}, 963 { 0.00000000172, 3.35254224852, 53445.59220462660}, 964 { 0.00000000195, 1.51901264133, 43232.30665841560}, 965 { 0.00000000174, 2.84049662693, 9967.45389998160}, 966 { 0.00000000163, 4.29008955007, 36949.23080842420}, 967 { 0.00000000169, 0.37000676558, 10459.11719244040}, 968 { 0.00000000137, 5.61149803116, 10529.67741586760}, 969 { 0.00000000139, 0.87990954673, 16522.65971600220}, 970 { 0.00000000139, 4.12576475412, 36301.18868778519}, 971 { 0.00000000127, 5.14447758617, 5481.25491886760}, 972 { 0.00000000131, 3.11317801589, 9896.89367655440}, 973 { 0.00000000131, 0.89697384734, 3442.57494496540}, 974 { 0.00000000121, 1.32914080245, 38734.37832446560}, 975 { 0.00000000122, 1.59017183044, 10110.19277199240}, 976 { 0.00000000123, 2.33714216061, 10316.37832042960}, 977 { 0.00000000133, 2.90682399304, 9793.80090233580}, 978 { 0.00000000111, 2.51956905782, 13936.79450513400}, 979 { 0.00000000120, 0.36015902371, 536.80451209540}, 980 { 0.00000000115, 2.53305863643, 26735.94526221320}, 981 { 0.00000000108, 2.65839634325, 10232.95530711079}, 982 { 0.00000000108, 0.55230439694, 10193.61578531121}, 983 { 0.00000000138, 1.06919239242, 65236.22129328540}, 984 { 0.00000000101, 3.17003240566, 19317.19254032860}, 985 { 0.00000000127, 5.63110477712, 10288.06714477830}, 986 { 0.00000000127, 3.86278127025, 10138.50394764370}, 987 { 0.00000000137, 2.93350659462, 47162.51635463520}, 988 { 0.00000000095, 5.03917884339, 52175.80628314840}, 989 { 0.00000000094, 0.71305001399, 38500.27603107220}, 990 { 0.00000000093, 5.46196838829, 11764.33076885900}, 991 { 0.00000000096, 1.52914774412, 9690.70812811720}, 992 { 0.00000000101, 0.83318284424, 6489.77658728800}, 993 { 0.00000000115, 3.76443612240, 522.57741809380}, 994 { 0.00000000089, 2.53312656681, 10735.86296430480}, 995 { 0.00000000082, 0.85729618993, 2379.16447357160}, 996 { 0.00000000103, 5.22683237626, 103.09277421860}, 997 { 0.00000000090, 2.12423586627, 28313.28880466100}, 998 { 0.00000000090, 0.39668501734, 9580.50180689780}, 999 { 0.00000000074, 6.02798429860, 3723.50895892300}, 1000 { 0.00000000081, 5.25045057985, 10419.47109464820}, 1001 { 0.00000000080, 4.23724598221, 10007.09999777380}, 1002 { 0.00000000091, 2.48874147948, 10846.06928552420}, 1003 { 0.00000000085, 3.82491067322, 51868.24866217880}, 1004 { 0.00000000081, 2.26186773193, 3903.91137641980}, 1005 { 0.00000000097, 0.77436917916, 18307.80723204360}, 1006 { 0.00000000094, 0.17064745052, 6872.67311951120}, 1007 { 0.00000000080, 5.62388508292, 29999.95935231900}, 1008 { 0.00000000068, 2.71544542018, 16983.99614745660}, 1009 { 0.00000000076, 0.36189761470, 39302.09696219600}, 1010 { 0.00000000066, 0.76731351843, 20.77539549240}, 1011 { 0.00000000075, 2.27327165974, 8521.11987670860}, 1012 { 0.00000000058, 2.14482855875, 8631.32619792800}, 1013 { 0.00000000064, 5.83567991327, 2118.76386037840}, 1014 { 0.00000000058, 2.98359709521, 19889.76658032659}, 1015 { 0.00000000054, 1.78252843890, 40077.61957352000}, 1016 { 0.00000000055, 4.70485939801, 639.89728631400}, 1017 { 0.00000000060, 5.89548057045, 41962.52073693740}, 1018 { 0.00000000066, 2.24746237992, 74.78159856730}, 1019 { 0.00000000061, 3.40726181591, 27490.69247804480}, 1020 { 0.00000000051, 3.07546032535, 24150.08005134500}, 1021 { 0.00000000057, 2.30081371235, 20529.66386664059}, 1022 { 0.00000000051, 2.37255859198, 29573.36116144300}, 1023 { 0.00000000052, 4.76676085839, 57375.80190084620}, 1024 { 0.00000000054, 5.89684197257, 19903.99367432819}, 1025 { 0.00000000047, 1.61776744350, 30831.30490474460}, 1026 { 0.00000000040, 5.32238959879, 42430.48572729180}, 1027 { 0.00000000051, 5.29366964725, 29587.58825544460}, 1028 ]; 1029 1030 1031 static const ln_vsop[LAT_B1] venus_latitude_b1 = [ 1032 { 0.00287821243, 1.88964962838, 10213.28554621100}, 1033 { 0.00003499578, 3.71117560516, 20426.57109242200}, 1034 { 0.00001257844, 0.00000000000, 0.00000000000}, 1035 { 0.00000096152, 2.74240664188, 30639.85663863300}, 1036 { 0.00000013051, 2.27549606211, 9437.76293488700}, 1037 { 0.00000008052, 5.55049163175, 1577.34354244780}, 1038 { 0.00000006792, 1.60704519868, 18073.70493865020}, 1039 { 0.00000007521, 0.28931916342, 9153.90361602180}, 1040 { 0.00000005612, 1.59167143282, 11790.62908865880}, 1041 { 0.00000006460, 5.23429470615, 10186.98722641120}, 1042 { 0.00000005405, 6.15384515120, 22003.91463486980}, 1043 { 0.00000004194, 5.40627767662, 2352.86615377180}, 1044 { 0.00000005097, 4.17404177420, 10239.58386601080}, 1045 { 0.00000004085, 0.73618047930, 5507.55323866740}, 1046 { 0.00000003349, 1.34464128958, 10404.73381232260}, 1047 { 0.00000002941, 4.40460505149, 19651.04848109800}, 1048 { 0.00000002670, 3.92292198547, 40853.14218484400}, 1049 { 0.00000002746, 5.04771993757, 10988.80815753500}, 1050 { 0.00000002216, 1.74777661827, 8635.94200376320}, 1051 { 0.00000001934, 1.35730576040, 19896.88012732740}, 1052 { 0.00000001960, 0.38471810829, 13367.97263110660}, 1053 { 0.00000001859, 5.60931743743, 529.69096509460}, 1054 { 0.00000001586, 2.31959766692, 10021.83728009940}, 1055 { 0.00000001733, 3.34619758004, 6283.07584999140}, 1056 { 0.00000001227, 1.71667580691, 20618.01935853360}, 1057 { 0.00000001223, 6.18665596267, 7860.41939243920}, 1058 { 0.00000000980, 2.99089645869, 15720.83878487840}, 1059 { 0.00000000961, 5.06770207004, 775.52261132400}, 1060 { 0.00000000976, 1.28004342015, 25934.12433108940}, 1061 { 0.00000000785, 1.77460186481, 11322.66409830440}, 1062 { 0.00000000727, 0.60317628984, 8624.21265092720}, 1063 { 0.00000000756, 0.68622306427, 19367.18916223280}, 1064 { 0.00000000625, 0.74326657001, 29580.47470844380}, 1065 { 0.00000000525, 5.08155157418, 9786.68735533500}, 1066 { 0.00000000553, 1.74144182497, 17298.18232732620}, 1067 { 0.00000000503, 2.68460156951, 23581.25817731760}, 1068 { 0.00000000467, 0.17554338129, 11015.10647733480}, 1069 { 0.00000000400, 0.33304670031, 4705.73230754360}, 1070 { 0.00000000438, 2.30926644329, 10742.97651130560}, 1071 { 0.00000000356, 1.05880387658, 14143.49524243060}, 1072 { 0.00000000359, 4.84089408623, 3930.20969621960}, 1073 { 0.00000000431, 3.73519308368, 10596.18207843420}, 1074 { 0.00000000312, 6.24028343022, 9830.38901398780}, 1075 { 0.00000000321, 3.83963668925, 21228.39202354580}, 1076 { 0.00000000329, 2.71641787634, 29864.33402730900}, 1077 { 0.00000000267, 1.90575325749, 9103.90699411760}, 1078 { 0.00000000256, 4.22499119257, 191.44826611160}, 1079 { 0.00000000259, 1.81366693404, 1059.38193018920}, 1080 { 0.00000000348, 2.27789745461, 9999.98645077300}, 1081 { 0.00000000258, 2.61400704653, 9411.46461508720}, 1082 { 0.00000000242, 3.18580218709, 12566.15169998280}, 1083 { 0.00000000294, 4.38485988087, 15874.61759536320}, 1084 { 0.00000000274, 4.80172249298, 10206.17199921020}, 1085 { 0.00000000243, 6.15371511696, 20419.45754542119}, 1086 { 0.00000000216, 2.14070499134, 801.82093112380}, 1087 { 0.00000000195, 3.43788708589, 28286.99048486120}, 1088 { 0.00000000203, 4.40417469081, 10220.39909321180}, 1089 { 0.00000000204, 1.39050905939, 10234.06094170340}, 1090 { 0.00000000177, 6.13411796219, 10426.58464164900}, 1091 { 0.00000000174, 6.13034607143, 9161.01716302260}, 1092 { 0.00000000186, 3.77010906124, 7058.59846131540}, 1093 { 0.00000000167, 5.56979067201, 10192.51015071860}, 1094 { 0.00000000197, 0.07905532678, 29050.78374334920}, 1095 { 0.00000000186, 4.07019341948, 33794.54372352860}, 1096 { 0.00000000155, 3.66480557020, 7.11354700080}, 1097 { 0.00000000138, 5.96011224678, 3154.68708489560}, 1098 { 0.00000000158, 5.50203206635, 37724.75341974820}, 1099 { 0.00000000147, 3.62347099998, 21535.94964451540}, 1100 { 0.00000000141, 1.64907514042, 32217.20018108080}, 1101 { 0.00000000168, 6.17942898657, 18837.49819713819}, 1102 { 0.00000000149, 4.71613322834, 25158.60171976540}, 1103 { 0.00000000124, 4.14558329896, 27511.46787353720}, 1104 { 0.00000000117, 1.26060116043, 7084.89678111520}, 1105 { 0.00000000112, 2.64211360535, 22779.43724619380}, 1106 { 0.00000000111, 1.56882986044, 9683.59458111640}, 1107 { 0.00000000125, 5.85773130047, 213.29909543800}, 1108 { 0.00000000106, 1.60206102260, 10207.76262190360}, 1109 { 0.00000000106, 1.60857575234, 10218.80847051840}, 1110 { 0.00000000107, 0.06029270673, 20400.27277262220}, 1111 { 0.00000000105, 5.17582412260, 8662.24032356300}, 1112 { 0.00000000115, 0.14229628995, 9146.79006902100}, 1113 { 0.00000000118, 0.93060644045, 20213.27199698400}, 1114 { 0.00000000134, 5.76506264779, 26.29831979980}, 1115 { 0.00000000100, 0.63855627551, 41654.96311596780}, 1116 { 0.00000000093, 2.39421056035, 3128.38876509580}, 1117 { 0.00000000083, 0.24054840895, 14919.01785375460}, 1118 { 0.00000000086, 1.99704954707, 10228.53801739600}, 1119 { 0.00000000086, 1.21365119312, 10198.03307502600}, 1120 { 0.00000000076, 6.15164147653, 21202.09370374600}, 1121 { 0.00000000076, 2.50538996449, 4551.95349705880}, 1122 { 0.00000000081, 3.54317093055, 51066.42773105500}, 1123 { 0.00000000070, 3.62977580498, 20452.86941222180}, 1124 { 0.00000000069, 3.33801158730, 11272.66747640020}, 1125 { 0.00000000066, 2.40044362019, 16496.36139620240}, 1126 { 0.00000000074, 0.81937069238, 382.89653222320}, 1127 { 0.00000000084, 1.84615505638, 45585.17281218740}, 1128 { 0.00000000058, 5.54500123157, 5661.33204915220}, 1129 { 0.00000000062, 6.22847666967, 29088.81141598500}, 1130 { 0.00000000048, 5.23337244147, 3149.16416058820}, 1131 { 0.00000000045, 4.23847970134, 20809.46762464520}, 1132 { 0.00000000043, 3.13312030807, 30110.16567353840}, 1133 { 0.00000000042, 2.05265738782, 24356.78078864160}, 1134 { 0.00000000048, 1.26595147651, 33019.02111220460}, 1135 { 0.00000000056, 3.26535945634, 49515.38250840700}, 1136 { 0.00000000049, 4.20217286778, 13341.67431130680}, 1137 { 0.00000000042, 2.07085732347, 426.59819087600}, 1138 { 0.00000000044, 1.20392434392, 12592.45001978260}, 1139 { 0.00000000036, 5.57938191798, 31441.67756975680}, 1140 { 0.00000000038, 4.98083686092, 536.80451209540}, 1141 { 0.00000000043, 1.90863602359, 3532.06069281140}, 1142 { 0.00000000035, 3.83053326183, 18849.22754997420}, 1143 { 0.00000000032, 5.81052626816, 28521.09277825460}, 1144 { 0.00000000028, 3.80386218448, 4732.03062734340}, 1145 { 0.00000000031, 5.41631373906, 522.57741809380}, 1146 { 0.00000000026, 2.11998839024, 23958.63178523340}, 1147 { 0.00000000023, 4.45861699215, 17277.40693183380}, 1148 { 0.00000000022, 1.46296031303, 8094.52168583260}, 1149 { 0.00000000024, 6.20898418337, 26087.90314157420}, 1150 { 0.00000000020, 4.66182643911, 19889.76658032659}, 1151 { 0.00000000020, 0.98405518609, 19999.97290154599}, 1152 { 0.00000000023, 3.22003976882, 39264.06928956020}, 1153 ]; 1154 1155 1156 static const ln_vsop[LAT_B2] venus_latitude_b2 = [ 1157 { 0.00012657745, 3.34796457029, 10213.28554621100}, 1158 { 0.00000151225, 0.00000000000, 0.00000000000}, 1159 { 0.00000037476, 5.34638962141, 20426.57109242200}, 1160 { 0.00000010627, 3.81894300538, 30639.85663863300}, 1161 { 0.00000000942, 0.01311905561, 10186.98722641120}, 1162 { 0.00000000747, 4.13620174126, 10239.58386601080}, 1163 { 0.00000000434, 3.26791015348, 11790.62908865880}, 1164 { 0.00000000439, 6.04066783494, 10988.80815753500}, 1165 { 0.00000000331, 6.20632270120, 9437.76293488700}, 1166 { 0.00000000332, 2.82983937642, 10404.73381232260}, 1167 { 0.00000000340, 5.14190117554, 9153.90361602180}, 1168 { 0.00000000244, 6.07029755311, 19651.04848109800}, 1169 { 0.00000000274, 0.56238407651, 2352.86615377180}, 1170 { 0.00000000273, 3.09551287480, 18073.70493865020}, 1171 { 0.00000000268, 4.02642385642, 1577.34354244780}, 1172 { 0.00000000217, 5.37498456751, 40853.14218484400}, 1173 { 0.00000000213, 1.22633958472, 22003.91463486980}, 1174 { 0.00000000141, 5.42727181668, 5507.55323866740}, 1175 { 0.00000000130, 5.26806549972, 13367.97263110660}, 1176 { 0.00000000101, 4.64089661780, 15720.83878487840}, 1177 { 0.00000000097, 0.79512785540, 10021.83728009940}, 1178 { 0.00000000095, 0.22330149810, 8635.94200376320}, 1179 { 0.00000000090, 2.70556129424, 19896.88012732740}, 1180 { 0.00000000090, 0.51306700906, 529.69096509460}, 1181 { 0.00000000084, 2.50344831127, 9683.59458111640}, 1182 { 0.00000000070, 3.27104614873, 20618.01935853360}, 1183 { 0.00000000058, 3.30656672462, 11322.66409830440}, 1184 { 0.00000000075, 5.25593390437, 10596.18207843420}, 1185 { 0.00000000045, 4.74613910444, 7058.59846131540}, 1186 { 0.00000000039, 4.73196017252, 9830.38901398780}, 1187 { 0.00000000046, 3.81232018036, 775.52261132400}, 1188 { 0.00000000034, 3.64209909537, 14143.49524243060}, 1189 { 0.00000000031, 4.03554572158, 6283.07584999140}, 1190 { 0.00000000036, 2.08483265333, 801.82093112380}, 1191 { 0.00000000034, 2.85714821360, 9411.46461508720}, 1192 { 0.00000000023, 0.53259218563, 10206.17199921020}, 1193 { 0.00000000023, 5.81970120815, 10220.39909321180}, 1194 { 0.00000000029, 0.34238212730, 11015.10647733480}, 1195 { 0.00000000021, 4.61555386478, 9999.98645077300}, 1196 { 0.00000000020, 4.88064054230, 10426.58464164900}, 1197 { 0.00000000026, 2.20763733076, 18849.22754997420}, 1198 { 0.00000000022, 3.98619109775, 10742.97651130560}, 1199 { 0.00000000019, 4.86026864659, 4705.73230754360}, 1200 { 0.00000000018, 4.37664030659, 23581.25817731760}, 1201 { 0.00000000018, 2.57254812330, 19367.18916223280}, 1202 { 0.00000000018, 5.52181260638, 21228.39202354580}, 1203 { 0.00000000021, 2.75902377111, 25934.12433108940}, 1204 { 0.00000000019, 2.22080338031, 29580.47470844380}, 1205 { 0.00000000017, 2.48643394548, 3128.38876509580}, 1206 { 0.00000000014, 6.20079529340, 191.44826611160}, 1207 { 0.00000000015, 5.74322714868, 26.29831979980}, 1208 ]; 1209 1210 1211 static const ln_vsop[LAT_B3] venus_latitude_b3 = [ 1212 { 0.00000376505, 4.87650249694, 10213.28554621100}, 1213 { 0.00000012587, 3.14159265359, 0.00000000000}, 1214 { 0.00000004809, 0.43423918018, 20426.57109242200}, 1215 { 0.00000000835, 5.57179521329, 30639.85663863300}, 1216 { 0.00000000046, 1.54914240166, 10186.98722641120}, 1217 { 0.00000000034, 5.78743368814, 10239.58386601080}, 1218 { 0.00000000019, 0.76227312580, 40853.14218484400}, 1219 { 0.00000000013, 4.63920619996, 11790.62908865880}, 1220 { 0.00000000014, 5.47124304598, 9437.76293488700}, 1221 { 0.00000000014, 0.87652853636, 10988.80815753500}, 1222 { 0.00000000010, 1.84595947891, 2352.86615377180}, 1223 { 0.00000000005, 1.36825703657, 19651.04848109800}, 1224 ]; 1225 1226 1227 static const ln_vsop[LAT_B4] venus_latitude_b4 = [ 1228 { 0.00000008558, 0.17181972054, 10213.28554621100}, 1229 { 0.00000000114, 2.50366130090, 20426.57109242200}, 1230 { 0.00000000115, 3.14159265359, 0.00000000000}, 1231 { 0.00000000041, 0.74061432691, 30639.85663863300}, 1232 ]; 1233 1234 1235 static const ln_vsop[LAT_B5] venus_latitude_b5 = [ 1236 { 0.00000000149, 1.67437168506, 10213.28554621100}, 1237 { 0.00000000023, 0.00000000000, 0.00000000000}, 1238 { 0.00000000008, 3.73924477319, 20426.57109242200}, 1239 { 0.00000000002, 2.28783748701, 30639.85663863300}, 1240 ]; 1241 1242 1243 static const ln_vsop[RADIUS_R0] venus_radius_r0 = [ 1244 { 0.72334820891, 0.00000000000, 0.00000000000}, 1245 { 0.00489824182, 4.02151831717, 10213.28554621100}, 1246 { 0.00001658058, 4.90206728031, 20426.57109242200}, 1247 { 0.00001632096, 2.84548795207, 7860.41939243920}, 1248 { 0.00001378043, 1.12846591367, 11790.62908865880}, 1249 { 0.00000498395, 2.58682193892, 9683.59458111640}, 1250 { 0.00000373958, 1.42314832858, 3930.20969621960}, 1251 { 0.00000263615, 5.52938716941, 9437.76293488700}, 1252 { 0.00000237454, 2.55136053886, 15720.83878487840}, 1253 { 0.00000221985, 2.01346696541, 19367.18916223280}, 1254 { 0.00000119466, 3.01975080538, 10404.73381232260}, 1255 { 0.00000125896, 2.72769850819, 1577.34354244780}, 1256 { 0.00000076176, 1.59574968674, 9153.90361602180}, 1257 { 0.00000085337, 3.98598666191, 19651.04848109800}, 1258 { 0.00000074347, 4.11957779786, 5507.55323866740}, 1259 { 0.00000041902, 1.64282225331, 18837.49819713819}, 1260 { 0.00000042494, 3.81864493274, 13367.97263110660}, 1261 { 0.00000039437, 5.39018702243, 23581.25817731760}, 1262 { 0.00000029042, 5.67739528728, 5661.33204915220}, 1263 { 0.00000027555, 5.72392434415, 775.52261132400}, 1264 { 0.00000027288, 4.82140494620, 11015.10647733480}, 1265 { 0.00000031274, 2.31806719544, 9999.98645077300}, 1266 { 0.00000019700, 4.96157560246, 11322.66409830440}, 1267 { 0.00000019811, 0.53189302682, 27511.46787353720}, 1268 { 0.00000013569, 3.75536825122, 18073.70493865020}, 1269 { 0.00000012921, 1.13381083556, 10206.17199921020}, 1270 { 0.00000016214, 0.56446585474, 529.69096509460}, 1271 { 0.00000011828, 5.09037966560, 3154.68708489560}, 1272 { 0.00000011729, 0.23450811362, 7084.89678111520}, 1273 { 0.00000013066, 5.24354222739, 17298.18232732620}, 1274 { 0.00000013180, 3.37207825651, 13745.34623902240}, 1275 { 0.00000009097, 3.07004839111, 1109.37855209340}, 1276 { 0.00000010818, 2.45024714924, 10239.58386601080}, 1277 { 0.00000011434, 4.56780914249, 29050.78374334920}, 1278 { 0.00000008377, 5.78327641089, 30639.85663863300}, 1279 { 0.00000008193, 1.95023341446, 22003.91463486980}, 1280 { 0.00000009319, 1.61646997033, 2352.86615377180}, 1281 { 0.00000010653, 1.95585283247, 31441.67756975680}, 1282 { 0.00000010357, 1.20234990063, 15874.61759536320}, 1283 { 0.00000009585, 1.46639856227, 19999.97290154599}, 1284 { 0.00000006504, 2.17386891309, 14143.49524243060}, 1285 { 0.00000007555, 1.13845893425, 8624.21265092720}, 1286 { 0.00000006438, 0.84494385894, 6283.07584999140}, 1287 { 0.00000005895, 0.01147034372, 8635.94200376320}, 1288 { 0.00000005633, 3.94955705099, 12566.15169998280}, 1289 { 0.00000005521, 1.27351436322, 18307.80723204360}, 1290 { 0.00000004488, 2.47835713175, 191.44826611160}, 1291 { 0.00000004524, 4.73049812703, 19896.88012732740}, 1292 { 0.00000006182, 3.25901855473, 6872.67311951120}, 1293 { 0.00000006076, 0.35368446866, 21228.39202354580}, 1294 { 0.00000004315, 2.59737099527, 4551.95349705880}, 1295 { 0.00000006001, 3.37877140835, 35371.88726597640}, 1296 { 0.00000003852, 1.01162850363, 9786.68735533500}, 1297 { 0.00000004033, 0.00058119465, 801.82093112380}, 1298 { 0.00000003913, 5.56523869375, 10596.18207843420}, 1299 { 0.00000002709, 5.80195530113, 7064.12138562280}, 1300 { 0.00000003216, 0.39767254849, 10186.98722641120}, 1301 { 0.00000003089, 6.26174762875, 14945.31617355440}, 1302 { 0.00000002983, 4.21306731485, 28521.09277825460}, 1303 { 0.00000003280, 0.70603484350, 10742.97651130560}, 1304 { 0.00000003495, 4.79876624499, 39302.09696219600}, 1305 { 0.00000003172, 1.80518718365, 25158.60171976540}, 1306 { 0.00000002463, 0.68708155159, 10988.80815753500}, 1307 { 0.00000002374, 3.77948972590, 21535.94964451540}, 1308 { 0.00000002199, 2.82965458882, 8662.24032356300}, 1309 { 0.00000001958, 5.41763443097, 16496.36139620240}, 1310 { 0.00000001876, 2.63426835834, 29580.47470844380}, 1311 { 0.00000001902, 2.85782199151, 3532.06069281140}, 1312 { 0.00000001706, 3.67573010387, 26.29831979980}, 1313 { 0.00000001820, 0.41906719561, 4705.73230754360}, 1314 { 0.00000001857, 1.50350423721, 10021.83728009940}, 1315 { 0.00000002086, 6.22149960504, 43232.30665841560}, 1316 { 0.00000001945, 2.21581377123, 19786.67380610799}, 1317 { 0.00000001497, 0.00134773818, 17277.40693183380}, 1318 { 0.00000001831, 3.23180044003, 29088.81141598500}, 1319 { 0.00000001422, 5.85815118404, 9676.48103411560}, 1320 { 0.00000001223, 5.55818994329, 6770.71060124560}, 1321 { 0.00000001135, 5.91731919731, 13936.79450513400}, 1322 { 0.00000001483, 2.47551114520, 31749.23519072640}, 1323 { 0.00000001185, 1.42087628352, 4732.03062734340}, 1324 { 0.00000001323, 2.48821075422, 9690.70812811720}, 1325 { 0.00000001237, 1.88503842890, 19374.30270923360}, 1326 { 0.00000001402, 5.17536780118, 10316.37832042960}, 1327 { 0.00000001257, 5.24711268081, 19360.07561523199}, 1328 { 0.00000001041, 3.05620764519, 25934.12433108940}, 1329 { 0.00000001174, 1.42916822908, 18875.52586977400}, 1330 { 0.00000001277, 1.35812964004, 47162.51635463520}, 1331 { 0.00000000919, 6.26767378713, 20618.01935853360}, 1332 { 0.00000000907, 1.12515741342, 12592.45001978260}, 1333 { 0.00000001093, 4.64451665343, 33019.02111220460}, 1334 { 0.00000001012, 1.09063299331, 1059.38193018920}, 1335 { 0.00000000783, 2.02117411797, 24356.78078864160}, 1336 { 0.00000000779, 0.41587370509, 3340.61242669980}, 1337 { 0.00000000702, 1.15494723276, 16983.99614745660}, 1338 { 0.00000000878, 0.87851267907, 38734.37832446560}, 1339 { 0.00000000620, 0.90736173080, 17778.11626694899}, 1340 { 0.00000000608, 1.58478313439, 9573.38825989700}, 1341 { 0.00000000800, 3.94213003073, 10138.50394764370}, 1342 { 0.00000000758, 1.31882722638, 9967.45389998160}, 1343 { 0.00000000802, 2.78173370208, 51092.72605085480}, 1344 { 0.00000000664, 4.45866629009, 3128.38876509580}, 1345 { 0.00000000668, 5.10542540579, 382.89653222320}, 1346 { 0.00000000530, 0.85392938403, 10234.06094170340}, 1347 { 0.00000000509, 3.56810277681, 28286.99048486120}, 1348 { 0.00000000600, 4.25927697166, 41962.52073693740}, 1349 { 0.00000000601, 5.78144137927, 213.29909543800}, 1350 { 0.00000000595, 2.83043640070, 22805.73556599360}, 1351 { 0.00000000673, 6.06080293558, 36949.23080842420}, 1352 { 0.00000000537, 5.85435364687, 9103.90699411760}, 1353 { 0.00000000544, 5.44804869552, 3723.50895892300}, 1354 { 0.00000000493, 3.84940583750, 27991.40181316000}, 1355 { 0.00000000635, 0.76493226364, 8094.52168583260}, 1356 { 0.00000000435, 6.21370952619, 27197.28169366760}, 1357 { 0.00000000459, 3.55062885409, 20213.27199698400}, 1358 { 0.00000000398, 6.16269975784, 10426.58464164900}, 1359 { 0.00000000378, 2.41665947591, 18844.61174413899}, 1360 { 0.00000000421, 4.86558476805, 9146.79006902100}, 1361 { 0.00000000500, 4.20351458644, 55022.93574707440}, 1362 { 0.00000000404, 4.96112893536, 37410.56723987860}, 1363 { 0.00000000402, 2.97963246945, 10220.39909321180}, 1364 { 0.00000000464, 2.59869499733, 18734.40542291960}, 1365 { 0.00000000353, 0.08229680434, 10103.07922499160}, 1366 { 0.00000000348, 4.90260339364, 18830.38465013739}, 1367 { 0.00000000339, 3.23485348169, 24150.08005134500}, 1368 { 0.00000000431, 1.21298886779, 40879.44050464380}, 1369 { 0.00000000375, 6.17532088119, 26087.90314157420}, 1370 { 0.00000000409, 3.12070020561, 9050.81084180320}, 1371 { 0.00000000385, 1.94284690176, 283.85931886520}, 1372 { 0.00000000331, 4.89790702632, 12432.04265039780}, 1373 { 0.00000000330, 4.29239717956, 26735.94526221320}, 1374 { 0.00000000310, 0.50879975679, 38204.68735937100}, 1375 { 0.00000000329, 3.88427322515, 29864.33402730900}, 1376 { 0.00000000313, 1.36138752543, 10192.51015071860}, 1377 { 0.00000000347, 3.58439807220, 27490.69247804480}, 1378 { 0.00000000251, 3.78618457047, 10063.72234907640}, 1379 { 0.00000000245, 3.84553750369, 9411.46461508720}, 1380 { 0.00000000281, 4.50895217144, 32217.20018108080}, 1381 { 0.00000000237, 0.87748812264, 6681.22485339960}, 1382 { 0.00000000315, 5.62657778233, 58953.14544329400}, 1383 { 0.00000000311, 4.15626121491, 10175.15251057320}, 1384 { 0.00000000251, 2.53793253681, 16522.65971600220}, 1385 { 0.00000000218, 5.08472965959, 7058.59846131540}, 1386 { 0.00000000291, 3.72573045764, 29999.95935231900}, 1387 { 0.00000000267, 2.97685503991, 19573.37471066999}, 1388 { 0.00000000280, 3.70200084294, 47623.85278608960}, 1389 { 0.00000000239, 3.94545782067, 9580.50180689780}, 1390 { 0.00000000246, 2.18261064090, 9161.01716302260}, 1391 { 0.00000000269, 2.62767323960, 44809.65020086340}, 1392 { 0.00000000254, 2.69185768875, 3442.57494496540}, 1393 { 0.00000000194, 4.79747763686, 33794.54372352860}, 1394 { 0.00000000203, 2.54900468678, 2379.16447357160}, 1395 { 0.00000000210, 1.90935455520, 1551.04522264800}, 1396 { 0.00000000187, 3.65645008095, 20452.86941222180}, 1397 { 0.00000000224, 2.43601863127, 9992.87290377220}, 1398 { 0.00000000190, 6.19594324465, 36147.40987730040}, 1399 { 0.00000000176, 4.29837616553, 10137.01947493540}, 1400 { 0.00000000175, 2.71993327300, 20809.46762464520}, 1401 { 0.00000000186, 2.55096983527, 14919.01785375460}, 1402 { 0.00000000161, 4.13272566951, 23958.63178523340}, 1403 { 0.00000000197, 5.70241397428, 30666.15495843280}, 1404 { 0.00000000160, 4.46270605493, 18947.70451835760}, 1405 { 0.00000000156, 1.80543158863, 10787.63034454580}, 1406 { 0.00000000192, 5.34144333446, 10007.09999777380}, 1407 { 0.00000000190, 2.99208130371, 2218.75710418680}, 1408 { 0.00000000209, 4.83588196833, 20277.00789528740}, 1409 { 0.00000000145, 5.92559556225, 37724.75341974820}, 1410 { 0.00000000198, 0.77846666692, 62883.35513951360}, 1411 { 0.00000000144, 5.00261963924, 9264.10993724120}, 1412 { 0.00000000171, 2.05212624568, 7255.56965173440}, 1413 { 0.00000000188, 4.08173534559, 48739.85989708300}, 1414 { 0.00000000146, 3.93370103580, 6309.37416979120}, 1415 { 0.00000000145, 5.06295543750, 39264.06928956020}, 1416 { 0.00000000139, 2.81266025896, 20.77539549240}, 1417 { 0.00000000177, 5.16224804657, 9835.91193829520}, 1418 { 0.00000000120, 0.21443767468, 31022.75317085620}, 1419 { 0.00000000118, 1.36333433479, 40077.61957352000}, 1420 { 0.00000000128, 2.92458887987, 7.11354700080}, 1421 { 0.00000000109, 5.19050570589, 9830.38901398780}, 1422 { 0.00000000150, 5.73646272556, 632.78373931320}, 1423 { 0.00000000106, 0.62215793949, 11272.66747640020}, 1424 { 0.00000000114, 2.63301326520, 17468.85519794540}, 1425 { 0.00000000123, 6.22518843711, 53285.18483524180}, 1426 { 0.00000000107, 1.17258978900, 43071.89928903080}, 1427 { 0.00000000116, 2.20934021321, 8521.11987670860}, 1428 { 0.00000000104, 1.01322416672, 41654.96311596780}, 1429 { 0.00000000109, 2.01412666864, 20419.45754542119}, 1430 { 0.00000000102, 4.23406964348, 10251.31321884680}, 1431 { 0.00000000116, 1.27731728606, 10199.05845220940}, 1432 { 0.00000000112, 2.24436894064, 18204.71445782499}, 1433 { 0.00000000118, 0.23754207200, 10497.14486507620}, 1434 { 0.00000000123, 0.88054816668, 34596.36465465240}, 1435 { 0.00000000102, 4.39438646620, 18300.69368504279}, 1436 { 0.00000000131, 6.01711652115, 9367.20271145980}, 1437 { 0.00000000100, 5.00532389609, 10175.25787357520}, 1438 { 0.00000000107, 0.41270205378, 40853.14218484400}, 1439 { 0.00000000132, 5.45008342761, 11506.76976979360}, 1440 { 0.00000000098, 1.07722950958, 13553.89797291080}, 1441 { 0.00000000094, 2.91719764259, 44007.82926973960}, 1442 { 0.00000000097, 1.04004223634, 68050.42387851159}, 1443 { 0.00000000127, 2.20215372683, 66813.56483573320}, 1444 { 0.00000000111, 1.57823839032, 29043.67019634839}, 1445 { 0.00000000118, 2.33268176890, 18314.92077904440}, 1446 { 0.00000000090, 2.42353056125, 32858.61374281979}, 1447 { 0.00000000109, 3.82796787296, 19470.28193645139}, 1448 { 0.00000000111, 4.47666957576, 29057.89729034999}, 1449 { 0.00000000101, 3.41528493660, 19264.09638801420}, 1450 { 0.00000000092, 3.66289799512, 22645.32819660879}, 1451 { 0.00000000094, 6.07530805791, 10846.06928552420}, 1452 { 0.00000000114, 4.02718653431, 7576.56007357400}, 1453 { 0.00000000087, 6.01880724674, 17085.95866572220}, 1454 { 0.00000000109, 5.46886607309, 52670.06959330260}, 1455 { 0.00000000108, 5.44460610707, 19050.79729257620}, 1456 { 0.00000000106, 0.55746535085, 34363.36559755600}, 1457 { 0.00000000076, 6.15177368654, 27682.14074415640}, 1458 { 0.00000000107, 4.80525404063, 8144.27871130440}, 1459 { 0.00000000071, 2.26530392323, 8631.32619792800}, 1460 { 0.00000000097, 5.13538849186, 22779.43724619380}, 1461 { 0.00000000095, 5.25816059997, 522.57741809380}, 1462 { 0.00000000069, 1.57003462107, 20956.26205751660}, 1463 { 0.00000000068, 6.22807515295, 10419.47109464820}, 1464 { 0.00000000091, 4.28652743953, 10110.19277199240}, 1465 { 0.00000000089, 1.79703857734, 45585.17281218740}, 1466 { 0.00000000067, 2.25900071584, 9360.08916445900}, 1467 { 0.00000000085, 0.67062144972, 56600.27928952220}, 1468 { 0.00000000080, 1.58278081077, 19992.85935454519}, 1469 { 0.00000000085, 4.52011215904, 29786.66025688100}, 1470 { 0.00000000068, 4.48235266554, 10632.77019008620}, 1471 { 0.00000000063, 0.36743160711, 17248.42530185440}, 1472 { 0.00000000064, 4.33495700921, 47938.03896595920}, 1473 { 0.00000000071, 3.03858484137, 11787.10597030980}, 1474 { 0.00000000067, 3.64786869696, 11764.33076885900}, 1475 { 0.00000000087, 4.81823064076, 2107.03450754240}, 1476 { 0.00000000070, 2.35648061034, 11794.15220700780}, 1477 { 0.00000000080, 2.33248094128, 38526.57435087200}, 1478 { 0.00000000070, 3.70454061100, 8734.41897214660}, 1479 { 0.00000000077, 4.49569185467, 20007.08644854680}, 1480 { 0.00000000072, 1.19410424468, 10217.21769947410}, 1481 { 0.00000000068, 2.01841060183, 14128.24277124560}, 1482 { 0.00000000064, 5.39293951654, 7880.08915333899}, 1483 { 0.00000000066, 3.20467070973, 14765.23904326980}, 1484 { 0.00000000080, 3.41620457770, 48417.97290558199}, 1485 { 0.00000000066, 5.85414440204, 9793.80090233580}, 1486 { 0.00000000082, 3.62592908644, 70743.77453195279}, 1487 { 0.00000000058, 4.95163459260, 30110.16567353840}, 1488 { 0.00000000079, 6.24161471033, 6037.24420376200}, 1489 { 0.00000000069, 5.50183658445, 19793.78735310880}, 1490 { 0.00000000076, 3.40005875207, 245.83164622940}, 1491 { 0.00000000056, 1.24148350566, 10207.76262190360}, 1492 { 0.00000000070, 2.45123308846, 10218.80847051840}, 1493 { 0.00000000064, 5.53983104501, 10735.86296430480}, 1494 { 0.00000000054, 3.62259713240, 27461.71084806540}, 1495 { 0.00000000073, 1.75920522146, 1589.07289528380}, 1496 { 0.00000000075, 3.38244819846, 4214.06901508480}, 1497 { 0.00000000054, 0.64971567468, 9929.42622734580}, 1498 { 0.00000000054, 3.40959637230, 18418.01355326299}, 1499 { 0.00000000056, 3.65815006538, 14169.79356223040}, 1500 { 0.00000000056, 0.71243223808, 9896.89367655440}, 1501 { 0.00000000052, 1.33348131832, 20400.27277262220}, 1502 { 0.00000000067, 3.12806595410, 5481.25491886760}, 1503 { 0.00000000058, 0.54482893546, 28313.28880466100}, 1504 { 0.00000000054, 0.15603935681, 19580.48825767080}, 1505 { 0.00000000051, 3.37515473510, 9256.99639024040}, 1506 { 0.00000000063, 3.38894120617, 49515.38250840700}, 1507 { 0.00000000069, 4.90917651401, 63498.47038145279}, 1508 { 0.00000000057, 5.07437742030, 18521.10632748160}, 1509 { 0.00000000050, 1.59156823654, 18631.31264870099}, 1510 { 0.00000000054, 6.25816208666, 37674.99639427640}, 1511 { 0.00000000057, 5.48066346720, 24383.07910844140}, 1512 { 0.00000000045, 1.10466490660, 10408.25693067160}, 1513 { 0.00000000051, 3.61196470338, 426.59819087600}, 1514 { 0.00000000058, 4.40545155507, 8617.09910392640}, 1515 { 0.00000000057, 2.09567711267, 60530.48898574180}, 1516 { 0.00000000060, 5.94659889997, 13897.66359620120}, 1517 { 0.00000000051, 5.47238517720, 57837.13833230060}, 1518 { 0.00000000051, 2.32438478428, 19779.56025910719}, 1519 { 0.00000000052, 3.23766328818, 18940.59097135679}, 1520 { 0.00000000048, 1.12206254877, 9779.57380833420}, 1521 { 0.00000000058, 3.08646083897, 12074.48840752400}, 1522 { 0.00000000046, 4.07536026888, 7863.94251078820}, 1523 { 0.00000000045, 4.75746520642, 7856.89627409019}, 1524 { 0.00000000050, 3.70569982975, 42456.78404709160}, 1525 { 0.00000000044, 1.29248911155, 69166.43098950500}, 1526 { 0.00000000046, 0.41229872114, 7564.83072073800}, 1527 { 0.00000000039, 1.25238820180, 10323.49186743040}, 1528 { 0.00000000044, 6.17937388307, 13341.67431130680}, 1529 { 0.00000000053, 4.71379706388, 53445.59220462660}, 1530 { 0.00000000041, 3.48003037828, 37895.42629036740}, 1531 { 0.00000000040, 1.23305546260, 10228.53801739600}, 1532 { 0.00000000053, 5.04979874661, 74673.98422817240}, 1533 { 0.00000000039, 2.15376025201, 8947.71806758460}, 1534 { 0.00000000039, 0.70253732683, 18093.37469954999}, 1535 { 0.00000000052, 1.18164377451, 10211.80107350270}, 1536 { 0.00000000047, 1.78672260794, 10401.21069397360}, 1537 { 0.00000000040, 3.66961416802, 10198.03307502600}, 1538 { 0.00000000051, 2.71698589018, 94325.03270927040}, 1539 { 0.00000000038, 1.36497153223, 21202.09370374600}, 1540 { 0.00000000049, 1.21335959420, 9721.62225375220}, 1541 { 0.00000000042, 6.05968230173, 105460.99111839019}, 1542 { 0.00000000040, 1.97642764685, 32243.49850088060}, 1543 { 0.00000000036, 4.96702216961, 36301.18868778519}, 1544 { 0.00000000037, 5.29642935562, 38.02767263580}, 1545 { 0.00000000035, 2.34112124655, 58946.51688439399}, 1546 { 0.00000000034, 5.77533382849, 51868.24866217880}, 1547 { 0.00000000034, 1.82989750626, 17675.02349273040}, 1548 { 0.00000000034, 0.76493664110, 55798.45835839840}, 1549 { 0.00000000035, 1.09353675147, 69159.80243060499}, 1550 { 0.00000000032, 3.32960781870, 71519.29714327680}, 1551 { 0.00000000031, 0.68615213145, 10202.23984594710}, 1552 { 0.00000000030, 4.42039942947, 10459.11719244040}, 1553 { 0.00000000029, 1.30367701539, 20103.06567576459}, 1554 { 0.00000000031, 4.51793347997, 2957.71589447660}, 1555 { 0.00000000036, 5.67202610552, 24341.52831745660}, 1556 { 0.00000000029, 3.36506645849, 10288.06714477830}, 1557 { 0.00000000029, 1.40019042576, 9988.94075050910}, 1558 { 0.00000000039, 5.15481059724, 20350.30502114640}, 1559 { 0.00000000034, 5.22945947227, 8673.96967639900}, 1560 { 0.00000000039, 4.50883171158, 16004.69810374360}, 1561 { 0.00000000028, 2.32945945641, 11392.48008525060}, 1562 { 0.00000000032, 5.46972716255, 64607.84893354619}, 1563 { 0.00000000029, 0.59723613788, 26709.64694241340}, 1564 { 0.00000000029, 6.16476830510, 65236.22129328540}, 1565 { 0.00000000026, 5.36096904409, 1478.86657406440}, 1566 { 0.00000000036, 1.29565084626, 90394.82301305079}, 1567 ]; 1568 1569 1570 static const ln_vsop[RADIUS_R1] venus_radius_r1 = [ 1571 { 0.00034551041, 0.89198706276, 10213.28554621100}, 1572 { 0.00000234203, 1.77224942363, 20426.57109242200}, 1573 { 0.00000233998, 3.14159265359, 0.00000000000}, 1574 { 0.00000023867, 1.11270233944, 9437.76293488700}, 1575 { 0.00000010571, 4.59152848465, 1577.34354244780}, 1576 { 0.00000009124, 4.53540895241, 10404.73381232260}, 1577 { 0.00000006600, 5.97725159435, 5507.55323866740}, 1578 { 0.00000004665, 3.87732289579, 9153.90361602180}, 1579 { 0.00000003840, 5.66215379445, 13367.97263110660}, 1580 { 0.00000002662, 2.82393816664, 10206.17199921020}, 1581 { 0.00000002194, 2.05324060020, 775.52261132400}, 1582 { 0.00000002093, 2.54944827541, 18837.49819713819}, 1583 { 0.00000001781, 2.64889239766, 30639.85663863300}, 1584 { 0.00000001844, 1.87568236008, 11015.10647733480}, 1585 { 0.00000001303, 0.20613045604, 11322.66409830440}, 1586 { 0.00000001168, 0.79442892853, 17298.18232732620}, 1587 { 0.00000001002, 6.16544615317, 10239.58386601080}, 1588 { 0.00000000915, 4.59854496963, 1109.37855209340}, 1589 { 0.00000000882, 0.66800567417, 18073.70493865020}, 1590 { 0.00000000846, 5.58765716729, 12566.15169998280}, 1591 { 0.00000001080, 4.94678408464, 6283.07584999140}, 1592 { 0.00000000888, 2.47876529003, 3154.68708489560}, 1593 { 0.00000000904, 0.81413053841, 10596.18207843420}, 1594 { 0.00000000820, 0.89897968675, 5661.33204915220}, 1595 { 0.00000000845, 5.48503535862, 529.69096509460}, 1596 { 0.00000000824, 3.74890493484, 7084.89678111520}, 1597 { 0.00000000655, 5.06545516257, 22003.91463486980}, 1598 { 0.00000000847, 0.44120492340, 8635.94200376320}, 1599 { 0.00000000638, 4.10125783744, 191.44826611160}, 1600 { 0.00000000618, 3.15185635462, 10186.98722641120}, 1601 { 0.00000000530, 5.86995223147, 2352.86615377180}, 1602 { 0.00000000576, 2.25211985760, 21228.39202354580}, 1603 { 0.00000000517, 5.33412478409, 14143.49524243060}, 1604 { 0.00000000664, 2.86641799035, 8624.21265092720}, 1605 { 0.00000000552, 2.16807468414, 18307.80723204360}, 1606 { 0.00000000518, 4.34059510806, 9786.68735533500}, 1607 { 0.00000000501, 5.56479595613, 10742.97651130560}, 1608 { 0.00000000426, 1.02161443120, 7064.12138562280}, 1609 { 0.00000000416, 1.26242491254, 9676.48103411560}, 1610 { 0.00000000393, 0.78006660798, 9690.70812811720}, 1611 { 0.00000000336, 3.17756997609, 10988.80815753500}, 1612 { 0.00000000375, 0.66142254036, 19360.07561523199}, 1613 { 0.00000000361, 0.19448210327, 19374.30270923360}, 1614 { 0.00000000314, 1.09753065455, 4551.95349705880}, 1615 { 0.00000000329, 0.58926282996, 16496.36139620240}, 1616 { 0.00000000339, 5.76768761424, 10021.83728009940}, 1617 { 0.00000000289, 3.67224020150, 25158.60171976540}, 1618 { 0.00000000223, 4.33581625553, 19786.67380610799}, 1619 { 0.00000000266, 3.57410277687, 801.82093112380}, 1620 { 0.00000000273, 5.72814567551, 11790.62908865880}, 1621 { 0.00000000275, 5.65863344812, 19896.88012732740}, 1622 { 0.00000000212, 4.27040662743, 4705.73230754360}, 1623 { 0.00000000230, 6.13409928801, 1059.38193018920}, 1624 { 0.00000000203, 4.88193121349, 7860.41939243920}, 1625 { 0.00000000241, 1.12684737375, 26.29831979980}, 1626 { 0.00000000215, 3.13976767933, 14945.31617355440}, 1627 { 0.00000000206, 0.32759945446, 382.89653222320}, 1628 { 0.00000000216, 2.54929765288, 19651.04848109800}, 1629 { 0.00000000160, 1.13642774778, 13936.79450513400}, 1630 { 0.00000000153, 0.81251420624, 6770.71060124560}, 1631 { 0.00000000150, 5.11133177708, 28521.09277825460}, 1632 { 0.00000000150, 1.35720240642, 10220.39909321180}, 1633 { 0.00000000149, 5.03755185727, 29088.81141598500}, 1634 { 0.00000000127, 4.49298610266, 3532.06069281140}, 1635 { 0.00000000121, 6.27033352540, 29580.47470844380}, 1636 { 0.00000000146, 6.16157870651, 8662.24032356300}, 1637 { 0.00000000117, 3.56101830556, 24356.78078864160}, 1638 { 0.00000000114, 0.00568663739, 25934.12433108940}, 1639 { 0.00000000127, 0.66789441339, 3723.50895892300}, 1640 { 0.00000000148, 0.36877913428, 9146.79006902100}, 1641 { 0.00000000106, 4.26220077003, 9573.38825989700}, 1642 { 0.00000000136, 5.09588289539, 19367.18916223280}, 1643 { 0.00000000099, 1.51389536350, 17277.40693183380}, 1644 { 0.00000000117, 0.57647358272, 9999.98645077300}, 1645 { 0.00000000097, 3.71741720558, 213.29909543800}, 1646 { 0.00000000092, 0.22936081655, 18830.38465013739}, 1647 { 0.00000000112, 4.04771058126, 9103.90699411760}, 1648 { 0.00000000083, 5.86195695833, 10234.06094170340}, 1649 { 0.00000000079, 0.64440357793, 18844.61174413899}, 1650 { 0.00000000084, 0.62796944327, 9683.59458111640}, 1651 { 0.00000000107, 1.77067111589, 17778.11626694899}, 1652 { 0.00000000081, 6.19048048769, 20618.01935853360}, 1653 { 0.00000000087, 0.15771136594, 33019.02111220460}, 1654 { 0.00000000085, 4.77733091614, 3930.20969621960}, 1655 { 0.00000000086, 2.21506820700, 8094.52168583260}, 1656 { 0.00000000074, 0.82723399048, 3128.38876509580}, 1657 { 0.00000000063, 2.70493265779, 16983.99614745660}, 1658 { 0.00000000059, 3.32160695003, 10787.63034454580}, 1659 { 0.00000000061, 0.04044699966, 9161.01716302260}, 1660 { 0.00000000064, 4.13127333938, 9992.87290377220}, 1661 { 0.00000000063, 4.47517295578, 18875.52586977400}, 1662 { 0.00000000060, 6.24567706571, 32217.20018108080}, 1663 { 0.00000000076, 4.84321073833, 4732.03062734340}, 1664 { 0.00000000054, 3.38449893196, 10426.58464164900}, 1665 { 0.00000000054, 5.15928227000, 28286.99048486120}, 1666 { 0.00000000063, 4.32344259630, 12592.45001978260}, 1667 { 0.00000000059, 3.65953929456, 10007.09999777380}, 1668 { 0.00000000049, 5.10267262491, 19573.37471066999}, 1669 { 0.00000000047, 5.79444960738, 68050.42387851159}, 1670 { 0.00000000052, 3.56658420552, 7255.56965173440}, 1671 { 0.00000000050, 1.61783309819, 36949.23080842420}, 1672 { 0.00000000053, 2.64129868542, 15874.61759536320}, 1673 { 0.00000000042, 2.02654328254, 7058.59846131540}, 1674 { 0.00000000051, 0.80486467278, 23581.25817731760}, 1675 { 0.00000000040, 3.89322312104, 20419.45754542119}, 1676 { 0.00000000050, 1.07461899460, 3442.57494496540}, 1677 { 0.00000000038, 1.77428239418, 10103.07922499160}, 1678 { 0.00000000040, 5.22873972349, 21535.94964451540}, 1679 { 0.00000000038, 0.10029856174, 11272.66747640020}, 1680 { 0.00000000038, 1.16414419860, 7.11354700080}, 1681 { 0.00000000044, 4.54118898535, 10192.51015071860}, 1682 { 0.00000000047, 0.05589432390, 12432.04265039780}, 1683 { 0.00000000034, 3.45481114998, 9830.38901398780}, 1684 { 0.00000000037, 4.97010610007, 3340.61242669980}, 1685 { 0.00000000044, 0.70533597362, 20213.27199698400}, 1686 { 0.00000000034, 2.16487642765, 64460.69868196140}, 1687 { 0.00000000031, 1.57612397319, 36147.40987730040}, 1688 { 0.00000000034, 1.06669952696, 29864.33402730900}, 1689 { 0.00000000028, 2.56454760402, 94138.32702008578}, 1690 { 0.00000000029, 0.59718407064, 59728.66805461800}, 1691 { 0.00000000031, 3.27727318906, 19992.85935454519}, 1692 { 0.00000000027, 5.68943276986, 17085.95866572220}, 1693 { 0.00000000030, 3.03241502538, 40879.44050464380}, 1694 { 0.00000000032, 2.64260788260, 41962.52073693740}, 1695 { 0.00000000035, 0.26995532429, 1589.07289528380}, 1696 { 0.00000000028, 4.93395364921, 29050.78374334920}, 1697 { 0.00000000028, 3.58869616799, 40853.14218484400}, 1698 { 0.00000000029, 2.79705093386, 20007.08644854680}, 1699 { 0.00000000033, 0.93875241519, 15720.83878487840}, 1700 { 0.00000000024, 2.74970637101, 18947.70451835760}, 1701 { 0.00000000024, 4.38966861409, 46386.99374331120}, 1702 { 0.00000000024, 0.73362177921, 9411.46461508720}, 1703 { 0.00000000028, 4.19559784013, 37674.99639427640}, 1704 { 0.00000000024, 1.18299920855, 426.59819087600}, 1705 { 0.00000000025, 4.14802726798, 14919.01785375460}, 1706 { 0.00000000030, 1.24986033487, 27461.71084806540}, 1707 { 0.00000000022, 2.95789824506, 40077.61957352000}, 1708 { 0.00000000027, 3.94986823486, 17468.85519794540}, 1709 { 0.00000000025, 4.75875623888, 27991.40181316000}, 1710 { 0.00000000022, 4.11184201321, 19779.56025910719}, 1711 { 0.00000000027, 3.72446446080, 19793.78735310880}, 1712 { 0.00000000027, 6.12859780299, 38500.27603107220}, 1713 { 0.00000000022, 4.99040169444, 31022.75317085620}, 1714 { 0.00000000021, 0.63975130342, 13745.34623902240}, 1715 { 0.00000000023, 1.33505132122, 65236.22129328540}, 1716 { 0.00000000020, 0.91294578294, 22779.43724619380}, 1717 { 0.00000000021, 4.46897353468, 53285.18483524180}, 1718 { 0.00000000020, 4.15140915983, 2218.75710418680}, 1719 { 0.00000000019, 1.43653410349, 27197.28169366760}, 1720 { 0.00000000027, 1.22597317413, 42430.48572729180}, 1721 { 0.00000000024, 4.66952456612, 1551.04522264800}, 1722 { 0.00000000021, 4.16155332491, 44007.82926973960}, 1723 { 0.00000000018, 5.45345109729, 6681.22485339960}, 1724 { 0.00000000023, 2.19259117717, 27511.46787353720}, 1725 { 0.00000000018, 4.24146756742, 31441.67756975680}, 1726 { 0.00000000019, 3.65054338893, 49515.38250840700}, 1727 { 0.00000000018, 2.29853355765, 19264.09638801420}, 1728 { 0.00000000020, 3.68116637773, 14128.24277124560}, 1729 { 0.00000000021, 4.30316190532, 44809.65020086340}, 1730 { 0.00000000017, 3.02735393984, 28528.20632525540}, 1731 { 0.00000000019, 5.92656850674, 22805.73556599360}, 1732 { 0.00000000020, 5.80568617231, 10218.80847051840}, 1733 { 0.00000000020, 0.75829381378, 18314.92077904440}, 1734 { 0.00000000017, 5.63315744126, 16522.65971600220}, 1735 { 0.00000000015, 5.27016880041, 53445.59220462660}, 1736 { 0.00000000015, 6.06411037636, 18300.69368504279}, 1737 { 0.00000000020, 5.38470522864, 10207.76262190360}, 1738 { 0.00000000015, 5.81110284451, 43071.89928903080}, 1739 { 0.00000000015, 5.98462571207, 10228.53801739600}, 1740 { 0.00000000014, 1.44966591677, 536.80451209540}, 1741 { 0.00000000015, 5.20122735812, 10198.03307502600}, 1742 { 0.00000000014, 3.48144272414, 29786.66025688100}, 1743 { 0.00000000018, 1.99790369768, 30831.30490474460}, 1744 { 0.00000000017, 2.36905439219, 33794.54372352860}, 1745 ]; 1746 1747 1748 static const ln_vsop[RADIUS_R2] venus_radius_r2 = [ 1749 { 0.00001406587, 5.06366395112, 10213.28554621100}, 1750 { 0.00000015529, 5.47321056992, 20426.57109242200}, 1751 { 0.00000013059, 0.00000000000, 0.00000000000}, 1752 { 0.00000001096, 2.78919545899, 9437.76293488700}, 1753 { 0.00000000487, 6.27655636902, 1577.34354244780}, 1754 { 0.00000000361, 6.11959389556, 10404.73381232260}, 1755 { 0.00000000310, 1.39073645837, 5507.55323866740}, 1756 { 0.00000000385, 1.95564555688, 11015.10647733480}, 1757 { 0.00000000371, 2.33232050485, 775.52261132400}, 1758 { 0.00000000207, 5.63406721595, 10239.58386601080}, 1759 { 0.00000000167, 1.11639732890, 13367.97263110660}, 1760 { 0.00000000175, 6.16674649733, 30639.85663863300}, 1761 { 0.00000000168, 3.64042170990, 7084.89678111520}, 1762 { 0.00000000120, 5.85861348966, 9153.90361602180}, 1763 { 0.00000000161, 2.21564443685, 3154.68708489560}, 1764 { 0.00000000118, 2.62362056521, 8635.94200376320}, 1765 { 0.00000000112, 2.36235956804, 10596.18207843420}, 1766 { 0.00000000093, 0.74251193058, 12566.15169998280}, 1767 { 0.00000000067, 3.76089669118, 18837.49819713819}, 1768 { 0.00000000065, 2.47990173302, 11790.62908865880}, 1769 { 0.00000000048, 4.26821029269, 2352.86615377180}, 1770 { 0.00000000049, 5.51819305769, 191.44826611160}, 1771 { 0.00000000048, 2.51039041484, 17298.18232732620}, 1772 { 0.00000000046, 3.40293459332, 14143.49524243060}, 1773 { 0.00000000041, 1.84035920887, 11322.66409830440}, 1774 { 0.00000000035, 6.20303344591, 1109.37855209340}, 1775 { 0.00000000039, 4.76600160325, 18073.70493865020}, 1776 { 0.00000000034, 3.14302158146, 4705.73230754360}, 1777 { 0.00000000034, 0.47584552790, 26.29831979980}, 1778 { 0.00000000046, 3.30090415967, 6283.07584999140}, 1779 { 0.00000000034, 3.92299418240, 10021.83728009940}, 1780 { 0.00000000034, 3.23795065286, 22003.91463486980}, 1781 { 0.00000000042, 3.39360926939, 14945.31617355440}, 1782 { 0.00000000044, 4.39723735555, 7860.41939243920}, 1783 { 0.00000000037, 3.63183908790, 801.82093112380}, 1784 { 0.00000000034, 2.16381407025, 16496.36139620240}, 1785 { 0.00000000034, 1.82177984232, 382.89653222320}, 1786 { 0.00000000025, 3.32908650295, 18307.80723204360}, 1787 { 0.00000000026, 3.64313769818, 29088.81141598500}, 1788 { 0.00000000029, 3.82967178810, 10186.98722641120}, 1789 { 0.00000000022, 3.17741520378, 28521.09277825460}, 1790 { 0.00000000025, 5.71510731610, 21202.09370374600}, 1791 { 0.00000000021, 5.30608699641, 19896.88012732740}, 1792 { 0.00000000019, 4.65302013202, 19651.04848109800}, 1793 { 0.00000000022, 2.42894070342, 529.69096509460}, 1794 { 0.00000000021, 3.82207126131, 21228.39202354580}, 1795 { 0.00000000016, 2.96175040524, 19367.18916223280}, 1796 { 0.00000000016, 3.36250300274, 28286.99048486120}, 1797 { 0.00000000015, 5.05571633205, 33019.02111220460}, 1798 { 0.00000000014, 2.83786355803, 19786.67380610799}, 1799 { 0.00000000014, 1.79922718553, 9830.38901398780}, 1800 { 0.00000000014, 3.49994470578, 10988.80815753500}, 1801 { 0.00000000013, 3.06303088617, 10742.97651130560}, 1802 { 0.00000000013, 5.43981998532, 25158.60171976540}, 1803 { 0.00000000015, 4.83166312889, 18875.52586977400}, 1804 { 0.00000000012, 2.54141086214, 7064.12138562280}, 1805 { 0.00000000010, 1.87933121728, 24356.78078864160}, 1806 { 0.00000000011, 4.26593805644, 15720.83878487840}, 1807 { 0.00000000010, 2.17901309900, 3723.50895892300}, 1808 { 0.00000000010, 2.50084772448, 9103.90699411760}, 1809 { 0.00000000007, 3.48063149205, 1059.38193018920}, 1810 { 0.00000000007, 2.38734958588, 20618.01935853360}, 1811 ]; 1812 1813 1814 static const ln_vsop[RADIUS_R3] venus_radius_r3 = [ 1815 { 0.00000049582, 3.22264415899, 10213.28554621100}, 1816 { 0.00000000831, 3.21255590531, 20426.57109242200}, 1817 { 0.00000000112, 3.14159265359, 0.00000000000}, 1818 { 0.00000000013, 3.77454760284, 30639.85663863300}, 1819 { 0.00000000008, 4.29674209391, 10239.58386601080}, 1820 { 0.00000000006, 0.39133521368, 10186.98722641120}, 1821 { 0.00000000004, 4.77456526708, 9437.76293488700}, 1822 { 0.00000000003, 0.14604782945, 10988.80815753500}, 1823 ]; 1824 1825 1826 static const ln_vsop[RADIUS_R4] venus_radius_r4 = [ 1827 { 0.00000000573, 0.92253525592, 10213.28554621100}, 1828 { 0.00000000039, 0.95696787303, 20426.57109242200}, 1829 { 0.00000000006, 3.14159265359, 0.00000000000}, 1830 ]; 1831 1832 1833 static const ln_vsop[RADIUS_R5] venus_radius_r5 = [ 1834 { 0.00000000045, 0.30037014808, 10213.28554621100}, 1835 { 0.00000000002, 5.33215705373, 20426.57109242200}, 1836 ]; 1837 1838 extern (C) { 1839 1840 /*! \fn void ln_get_venus_equ_coords(double JD, struct ln_equ_posn *position); 1841 * \param JD Julian Day 1842 * \param position Pointer to store position 1843 * 1844 * Calculates Venus's equatorial position for given julian day. 1845 * This function includes calculations for planetary aberration and refers 1846 * to the FK5 reference frame. 1847 * 1848 * To get the complete equatorial coordinates, corrections for nutation 1849 * have to be applied. 1850 * 1851 * The position returned is accurate to within 0.1 arcsecs.. 1852 */ 1853 export @nogc void ln_get_venus_equ_coords(double JD, ref ln_equ_posn position) nothrow 1854 { 1855 ln_helio_posn h_sol, h_venus; 1856 ln_rect_posn g_sol, g_venus; 1857 double a,b,c; 1858 double ra, dec, delta, diff, last, t = 0; 1859 1860 /* need typdef for solar heliocentric coords */ 1861 ln_get_solar_geom_coords(JD, h_sol); 1862 ln_get_rect_from_helio(h_sol, g_sol); 1863 1864 do { 1865 last = t; 1866 ln_get_venus_helio_coords(JD - t, h_venus); 1867 ln_get_rect_from_helio(h_venus, g_venus); 1868 1869 /* equ 33.10 pg 229 */ 1870 a = g_sol.X + g_venus.X; 1871 b = g_sol.Y + g_venus.Y; 1872 c = g_sol.Z + g_venus.Z; 1873 1874 delta = a * a + b * b + c * c; 1875 delta = sqrt(delta); 1876 t = delta * 0.0057755183; 1877 diff = t - last; 1878 } while (diff > 0.0001 || diff < -0.0001); 1879 1880 ra = atan2(b, a); 1881 dec = c / delta; 1882 dec = asin(dec); 1883 1884 /* back to hours, degrees */ 1885 position.ra = ln_range_degrees(ln_rad_to_deg(ra)); 1886 position.dec = ln_rad_to_deg(dec); 1887 } 1888 1889 /*! \fn void ln_get_venus_helio_coords(double JD, struct ln_helio_posn *position) 1890 * \param JD Julian Day 1891 * \param position Pointer to store new heliocentric position 1892 * 1893 * Calculate Venus heliocentric (referred to the centre of the Sun) coordinates 1894 * in the FK5 reference frame for the given julian day. 1895 * Longitude and Latitude are in degrees, whilst radius vector is in AU. 1896 */ 1897 /* Chapter 31 Pg 206-207 Equ 31.1 31.2 , 31.3 using VSOP 87 1898 */ 1899 @nogc void ln_get_venus_helio_coords(double JD, ref ln_helio_posn position) nothrow 1900 { 1901 double t, t2, t3, t4, t5; 1902 double L0, L1, L2, L3, L4, L5; 1903 double B0, B1, B2, B3, B4, B5; 1904 double R0, R1, R2, R3, R4, R5; 1905 1906 /* check cache first */ 1907 if(JD == cJD) { 1908 /* cache hit */ 1909 position.L = cL; 1910 position.B = cB; 1911 position.R = cR; 1912 return; 1913 } 1914 1915 /* get julian ephemeris day */ 1916 t =(JD - 2451545.0) / 365250.0; 1917 t2 = t * t; 1918 t3 = t2 * t; 1919 t4 = t3 * t; 1920 t5 = t4 * t; 1921 1922 /* calc L series */ 1923 L0 = ln_calc_series(venus_longitude_l0, t); 1924 L1 = ln_calc_series(venus_longitude_l1, t); 1925 L2 = ln_calc_series(venus_longitude_l2, t); 1926 L3 = ln_calc_series(venus_longitude_l3, t); 1927 L4 = ln_calc_series(venus_longitude_l4, t); 1928 L5 = ln_calc_series(venus_longitude_l5, t); 1929 position.L = (L0 + L1 * t + L2 * t2 + L3 * t3 + L4 * t4 + L5 * t5); 1930 1931 /* calc B series */ 1932 B0 = ln_calc_series(venus_latitude_b0, t); 1933 B1 = ln_calc_series(venus_latitude_b1, t); 1934 B2 = ln_calc_series(venus_latitude_b2, t); 1935 B3 = ln_calc_series(venus_latitude_b3, t); 1936 B4 = ln_calc_series(venus_latitude_b4, t); 1937 B5 = ln_calc_series(venus_latitude_b5, t); 1938 position.B = (B0 + B1 * t + B2 * t2 + B3 * t3 + B4 * t4 + B5 * t5); 1939 1940 1941 /* calc R series */ 1942 R0 = ln_calc_series(venus_radius_r0, t); 1943 R1 = ln_calc_series(venus_radius_r1, t); 1944 R2 = ln_calc_series(venus_radius_r2, t); 1945 R3 = ln_calc_series(venus_radius_r3, t); 1946 R4 = ln_calc_series(venus_radius_r4, t); 1947 R5 = ln_calc_series(venus_radius_r5, t); 1948 position.R = (R0 + R1 * t + R2 * t2 + R3 * t3 + R4 * t4 + R5 * t5); 1949 1950 /* change to degrees in correct quadrant */ 1951 position.L = ln_rad_to_deg(position.L); 1952 position.B = ln_rad_to_deg(position.B); 1953 position.L = ln_range_degrees(position.L); 1954 1955 /* change to fk5 reference frame */ 1956 ln_vsop87_to_fk5(position, JD); 1957 1958 /* save cache */ 1959 cJD = JD; 1960 cL = position.L; 1961 cB = position.B; 1962 cR = position.R; 1963 } 1964 1965 /*! \fn double ln_get_venus_earth_dist(double JD); 1966 * \param JD Julian day 1967 * \brief Calculate the distance between Venus and the Earth in AU 1968 * \return Distance in AU 1969 * 1970 * Calculates the distance in AU between the Earth and Venus for the 1971 * given julian day. 1972 */ 1973 @nogc double ln_get_venus_earth_dist(double JD) nothrow 1974 { 1975 ln_helio_posn h_venus, h_earth; 1976 ln_rect_posn g_venus, g_earth; 1977 double x, y, z; 1978 1979 /* get heliocentric positions */ 1980 ln_get_venus_helio_coords(JD, h_venus); 1981 ln_get_earth_helio_coords(JD, h_earth); 1982 1983 /* get geocentric coords */ 1984 ln_get_rect_from_helio(h_venus, g_venus); 1985 ln_get_rect_from_helio(h_earth, g_earth); 1986 1987 /* use pythag */ 1988 x = g_venus.X - g_earth.X; 1989 y = g_venus.Y - g_earth.Y; 1990 z = g_venus.Z - g_earth.Z; 1991 1992 x = x * x; 1993 y = y * y; 1994 z = z * z; 1995 return sqrt(x + y + z); 1996 } 1997 1998 /*! \fn double ln_get_venus_solar_dist(double JD); 1999 * \param JD Julian day 2000 * \brief Calculate the distance between Venus and the Sun in AU 2001 * \return Distance in AU 2002 * 2003 * Calculates the distance in AU between the Sun and Venus for 2004 * the given julian day. 2005 */ 2006 @nogc double ln_get_venus_solar_dist(double JD) nothrow 2007 { 2008 ln_helio_posn h_venus; 2009 2010 /* get heliocentric position */ 2011 ln_get_venus_helio_coords(JD, h_venus); 2012 2013 return h_venus.R; 2014 } 2015 2016 /*! \fn double ln_get_venus_magnitude(double JD); 2017 * \param JD Julian day 2018 * \brief Calculate the visible magnitude of Venus 2019 * \return Visible magnitude of venus 2020 * 2021 * Calculate the visible magnitude of Venus for the 2022 * given julian day. 2023 */ 2024 @nogc double ln_get_venus_magnitude(double JD) nothrow 2025 { 2026 double delta, r, i, i2, i3; 2027 2028 /* get distances */ 2029 r = ln_get_venus_solar_dist(JD); 2030 delta = ln_get_venus_earth_dist(JD); 2031 2032 /* get phase */ 2033 i = ln_get_venus_phase(JD); 2034 i2 = i * i; 2035 i3 = i2 * i; 2036 2037 return -4.40 + 5.0 * log10(r * delta) + 0.0009 * i + 2038 0.000239 * i2 - 0.00000065 * i3; 2039 } 2040 2041 /*! \fn double ln_get_venus_disk(double JD); 2042 * \param JD Julian day 2043 * \brief Calculate the illuminated fraction of Venus disk 2044 * \return Illuminated fraction of venus disk 2045 * 2046 * Calculate the illuminated fraction of Venus's disk for the given Julian 2047 * day 2048 */ 2049 /* Chapter 41 */ 2050 @nogc double ln_get_venus_disk(double JD) nothrow 2051 { 2052 double r, delta, R; 2053 2054 /* get distances */ 2055 R = ln_get_earth_solar_dist(JD); 2056 r = ln_get_venus_solar_dist(JD); 2057 delta = ln_get_venus_earth_dist(JD); 2058 2059 /* calc fraction angle */ 2060 return (((r + delta) * (r + delta)) - R * R) / (4.0 * r * delta); 2061 } 2062 2063 /*! \fn double ln_get_venus_phase(double JD); 2064 * \param JD Julian day 2065 * \brief Calculate the phase angle of Venus (Sun - Venus - Earth) 2066 * \return Phase angle of Venus (degrees) 2067 * 2068 * Calculates the phase angle of Venus, that is, the angle Sun - 2069 * Venus - Earth for the given Julian day. 2070 */ 2071 /* Chapter 41 */ 2072 @nogc double ln_get_venus_phase(double JD) nothrow 2073 { 2074 double i, r, delta, R; 2075 2076 /* get distances */ 2077 R = ln_get_earth_solar_dist(JD); 2078 r = ln_get_venus_solar_dist(JD); 2079 delta = ln_get_venus_earth_dist(JD); 2080 2081 /* calc phase */ 2082 i = (r * r + delta * delta - R * R) / (2.0 * r * delta); 2083 i = acos(i); 2084 2085 return ln_rad_to_deg(i); 2086 } 2087 2088 2089 /*! \fn double ln_get_venus_rst(double JD, struct ln_lnlat_posn *observer, struct ln_rst_time *rst); 2090 * \param JD Julian day 2091 * \param observer Observers position 2092 * \param rst Pointer to store Rise, Set and Transit time in JD 2093 * \return 0 for success, else 1 for circumpolar. 2094 * 2095 * Calculate the time the rise, set and transit (crosses the local meridian at upper culmination) 2096 * time of Venus for the given Julian day. 2097 * 2098 * Note: this functions returns 1 if Venus is circumpolar, that is it remains the whole 2099 * day either above or below the horizon. 2100 */ 2101 @nogc int ln_get_venus_rst(double JD, const ref ln_lnlat_posn observer, ref ln_rst_time rst) nothrow 2102 { 2103 return ln_get_body_rst_horizon(JD, 2104 observer, 2105 &ln_get_venus_equ_coords, 2106 LN_STAR_STANDART_HORIZON, rst); 2107 } 2108 2109 2110 /*! \fn double ln_get_venus_sdiam(double JD) 2111 * \param JD Julian day 2112 * \return Semidiameter in arc seconds 2113 * 2114 * Calculate the semidiameter of Venus in arc seconds for the 2115 * given julian day. 2116 */ 2117 @nogc double ln_get_venus_sdiam(double JD) nothrow 2118 { 2119 double So = 8.41; /* at 1 AU, using atmosphere value, not crust (8.34) */ 2120 double dist; 2121 2122 dist = ln_get_venus_earth_dist(JD); 2123 return So / dist; 2124 } 2125 2126 /*! \fn void ln_get_venus_rect_helio(double JD, struct ln_rect_posn *position) 2127 * \param JD Julian day. 2128 * \param position pointer to return position 2129 * 2130 * Calculate Venus rectangular heliocentric coordinates for the 2131 * given Julian day. Coordinates are in AU. 2132 */ 2133 @nogc void ln_get_venus_rect_helio(double JD, ref ln_rect_posn position) nothrow 2134 { 2135 ln_helio_posn venus; 2136 2137 ln_get_venus_helio_coords(JD, venus); 2138 ln_get_rect_from_helio(venus, position); 2139 } 2140 2141 }