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.neptune; 23 24 import std.math; 25 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 enum LONG_L0 = 539; 34 enum LONG_L1 = 224; 35 enum LONG_L2 = 59; 36 enum LONG_L3 = 18; 37 enum LAT_B0 = 172; 38 enum LAT_B1 = 49; 39 enum LAT_B2 = 13; 40 enum LAT_B3 = 2; 41 enum RADIUS_R0 = 596; 42 enum RADIUS_R1 = 251; 43 enum RADIUS_R2 = 71; 44 enum RADIUS_R3 = 23; 45 enum RADIUS_R4 = 7; 46 47 /* cache variables */ 48 static double cJD = 0.0, cL = 0.0, cB = 0.0, cR = 0.0; 49 50 static const ln_vsop[LONG_L0] neptune_longitude_l0 = [ 51 { 5.31188633046, 0.00000000000, 0.00000000000}, 52 { 0.01798475530, 2.90101273890, 38.13303563780}, 53 { 0.01019727652, 0.48580922867, 1.48447270830}, 54 { 0.00124531845, 4.83008090676, 36.64856292950}, 55 { 0.00042064466, 5.41054993053, 2.96894541660}, 56 { 0.00037714584, 6.09221808686, 35.16409022120}, 57 { 0.00033784738, 1.24488874087, 76.26607127560}, 58 { 0.00016482741, 0.00007727998, 491.55792945680}, 59 { 0.00009198584, 4.93747051954, 39.61750834610}, 60 { 0.00008994250, 0.27462171806, 175.16605980020}, 61 { 0.00004216242, 1.98711875978, 73.29712585900}, 62 { 0.00003364807, 1.03590060915, 33.67961751290}, 63 { 0.00002284800, 4.20606949415, 4.45341812490}, 64 { 0.00001433516, 2.78339802539, 74.78159856730}, 65 { 0.00000900236, 2.07607168714, 109.94568878850}, 66 { 0.00000744997, 3.19032509437, 71.81265315070}, 67 { 0.00000506217, 5.74786069680, 114.39910691340}, 68 { 0.00000399552, 0.34972342836, 1021.24889455140}, 69 { 0.00000345189, 3.46185292806, 41.10198105440}, 70 { 0.00000306338, 0.49684052934, 0.52126486180}, 71 { 0.00000287322, 4.50523446022, 0.04818410980}, 72 { 0.00000323003, 2.24814943701, 32.19514480460}, 73 { 0.00000340303, 3.30376245107, 77.75054398390}, 74 { 0.00000266605, 4.88932605590, 0.96320784650}, 75 { 0.00000227079, 1.79713146385, 453.42489381900}, 76 { 0.00000244722, 1.24693366148, 9.56122755560}, 77 { 0.00000232888, 2.50459784128, 137.03302416240}, 78 { 0.00000282170, 2.24565589980, 146.59425171800}, 79 { 0.00000251941, 5.78166617117, 388.46515523820}, 80 { 0.00000150188, 2.99706170691, 5.93789083320}, 81 { 0.00000170404, 3.32390687638, 108.46121608020}, 82 { 0.00000151401, 2.19153150087, 33.94024994380}, 83 { 0.00000148305, 0.85949274408, 111.43016149680}, 84 { 0.00000118672, 3.67706211426, 2.44768055480}, 85 { 0.00000101821, 5.70539236951, 0.11187458460}, 86 { 0.00000097873, 2.80518417596, 8.07675484730}, 87 { 0.00000103059, 4.40432042649, 70.32818044240}, 88 { 0.00000103305, 0.04078966679, 0.26063243090}, 89 { 0.00000109299, 2.41599473953, 183.24281464750}, 90 { 0.00000073938, 1.32805035282, 529.69096509460}, 91 { 0.00000077725, 4.16446516489, 4.19278569400}, 92 { 0.00000086312, 4.22838781137, 490.07345674850}, 93 { 0.00000081558, 5.19840134548, 493.04240216510}, 94 { 0.00000071503, 5.29530376008, 350.33211960040}, 95 { 0.00000064418, 3.54540876782, 168.05251279940}, 96 { 0.00000062570, 0.15028731307, 182.27960680100}, 97 { 0.00000058488, 3.50107011546, 145.10977900970}, 98 { 0.00000048286, 1.11259007090, 112.91463420510}, 99 { 0.00000047229, 4.57373234943, 46.20979048510}, 100 { 0.00000039124, 1.66569494185, 213.29909543800}, 101 { 0.00000047728, 0.12906212459, 484.44438245600}, 102 { 0.00000046858, 3.01699530311, 498.67147645760}, 103 { 0.00000038659, 2.38685681991, 2.92076130680}, 104 { 0.00000047046, 4.49844734537, 173.68158709190}, 105 { 0.00000047565, 2.58404545035, 219.89137757700}, 106 { 0.00000044714, 5.47302844713, 176.65053250850}, 107 { 0.00000032279, 3.45758705244, 30.71067209630}, 108 { 0.00000028249, 4.13282449919, 6.59228213900}, 109 { 0.00000024432, 4.55736924822, 106.97674337190}, 110 { 0.00000024661, 3.67821364144, 181.75834193920}, 111 { 0.00000024505, 1.55095976661, 7.11354700080}, 112 { 0.00000021848, 1.04366945175, 39.09624348430}, 113 { 0.00000016835, 6.11092370371, 44.72531777680}, 114 { 0.00000022220, 2.74693585259, 256.53994050650}, 115 { 0.00000016614, 4.98189005162, 37.61177077600}, 116 { 0.00000017728, 3.55049134136, 1.37259812370}, 117 { 0.00000017348, 2.14093469791, 42.58645376270}, 118 { 0.00000014588, 0.69766675400, 1550.93985964600}, 119 { 0.00000014969, 3.36426560630, 98.89998852460}, 120 { 0.00000015677, 6.22011053513, 454.90936652730}, 121 { 0.00000013243, 5.61712395571, 68.84370773410}, 122 { 0.00000014837, 3.52556891759, 25.60286266560}, 123 { 0.00000012757, 0.04509403901, 11.04570026390}, 124 { 0.00000011988, 4.81688773476, 24.11838995730}, 125 { 0.00000011060, 1.78958328174, 7.42236354150}, 126 { 0.00000012104, 1.86916301309, 79.23501669220}, 127 { 0.00000011698, 0.49005698054, 1.59634729290}, 128 { 0.00000010459, 2.38743199573, 381.35160823740}, 129 { 0.00000011682, 3.85152266622, 218.40690486870}, 130 { 0.00000008744, 0.14169605624, 148.07872442630}, 131 { 0.00000009196, 1.00274082532, 72.07328558160}, 132 { 0.00000011343, 0.81432264944, 525.49817940060}, 133 { 0.00000010097, 5.03381894926, 601.76425067620}, 134 { 0.00000008035, 1.77685723010, 0.21244832110}, 135 { 0.00000008382, 3.07534786987, 1.27202438720}, 136 { 0.00000010803, 2.92080692152, 293.18850343600}, 137 { 0.00000007666, 1.52272200302, 115.88357962170}, 138 { 0.00000007531, 5.37537041047, 5.10780943070}, 139 { 0.00000008691, 4.74349171636, 143.62530630140}, 140 { 0.00000010183, 1.15395455831, 6244.94281435360}, 141 { 0.00000008287, 0.35990637292, 138.51749687070}, 142 { 0.00000009543, 4.02459127211, 152.53214255120}, 143 { 0.00000007268, 4.11164858892, 251.43213107580}, 144 { 0.00000007465, 1.72131360023, 31.01948863700}, 145 { 0.00000006902, 4.62452234150, 2.70831298570}, 146 { 0.00000007094, 5.11529809988, 312.19908396260}, 147 { 0.00000007929, 2.10765766676, 27.08733537390}, 148 { 0.00000006156, 3.50746819519, 28.57180808220}, 149 { 0.00000007134, 2.05292375736, 278.25883401880}, 150 { 0.00000008193, 2.58588219154, 141.22580985640}, 151 { 0.00000005499, 2.09250039025, 1.69692102940}, 152 { 0.00000005279, 4.09388735435, 983.11585891360}, 153 { 0.00000006933, 3.47729102004, 415.29185818120}, 154 { 0.00000005916, 0.68957254143, 62.25142559510}, 155 { 0.00000005925, 4.02508149455, 255.05546779820}, 156 { 0.00000004606, 1.17780552175, 43.24084506850}, 157 { 0.00000005357, 3.63061309594, 5.41662597140}, 158 { 0.00000005918, 2.57693824084, 10175.15251057320}, 159 { 0.00000005482, 3.07977337441, 329.83706636550}, 160 { 0.00000003956, 5.00417876355, 184.72728735580}, 161 { 0.00000005398, 3.31531091775, 528.20649238630}, 162 { 0.00000004767, 4.91981115318, 456.39383923560}, 163 { 0.00000003770, 1.57277409027, 32.71640966640}, 164 { 0.00000003924, 4.92761954552, 180.27386923090}, 165 { 0.00000003707, 4.82965059592, 221.37585028530}, 166 { 0.00000003802, 4.96279204998, 594.65070367540}, 167 { 0.00000004014, 1.63901581079, 40.58071619260}, 168 { 0.00000003061, 0.39712980415, 1.43628859850}, 169 { 0.00000003261, 4.65481470589, 29.22619938800}, 170 { 0.00000003474, 5.65891306563, 395.57870223900}, 171 { 0.00000002918, 5.91079083936, 1.22384027740}, 172 { 0.00000003225, 5.57423738665, 1014.13534755060}, 173 { 0.00000003442, 5.60791606864, 488.58898404020}, 174 { 0.00000002845, 0.56009439099, 144.14657116320}, 175 { 0.00000002841, 0.55459681230, 567.82400073240}, 176 { 0.00000003440, 1.70886719923, 12.53017297220}, 177 { 0.00000003456, 3.87315999467, 494.52687487340}, 178 { 0.00000003107, 5.79332348779, 105.49227066360}, 179 { 0.00000002712, 2.43722805817, 60.76695288680}, 180 { 0.00000003227, 4.68651708637, 82.85835341460}, 181 { 0.00000003202, 2.21481972921, 41.05379694460}, 182 { 0.00000003590, 5.69939670162, 1124.34166877000}, 183 { 0.00000002961, 0.54712452509, 135.54855145410}, 184 { 0.00000003173, 4.19788791291, 291.70403072770}, 185 { 0.00000002899, 5.99671470079, 22.63391724900}, 186 { 0.00000003143, 2.93495725805, 31.23193695810}, 187 { 0.00000002729, 4.62709462438, 5.62907429250}, 188 { 0.00000002513, 5.60391563025, 19.12245511120}, 189 { 0.00000002690, 5.32070934185, 2.00573757010}, 190 { 0.00000002630, 6.00855115785, 37.16982779130}, 191 { 0.00000002282, 6.07498178903, 451.94042111070}, 192 { 0.00000002858, 4.88680338436, 258.02441321480}, 193 { 0.00000002879, 5.12236912878, 38.65430049960}, 194 { 0.00000002270, 2.08633953722, 30.05628079050}, 195 { 0.00000002301, 3.35951602914, 1028.36244155220}, 196 { 0.00000003001, 3.59152016870, 211.81462272970}, 197 { 0.00000002238, 0.38455483182, 3.62333672240}, 198 { 0.00000002901, 3.24753792395, 366.48562929500}, 199 { 0.00000002592, 1.36262664245, 35.42472265210}, 200 { 0.00000002418, 4.93469145264, 47.69426319340}, 201 { 0.00000002089, 5.79838063413, 4.66586644600}, 202 { 0.00000002586, 2.69392971550, 38.18121974760}, 203 { 0.00000001971, 6.00790962923, 34.20088237470}, 204 { 0.00000002586, 6.24984047773, 38.08485152800}, 205 { 0.00000002098, 4.57817230839, 1019.76442184310}, 206 { 0.00000001839, 5.57608456495, 149.56319713460}, 207 { 0.00000001869, 3.85907708723, 911.04257333200}, 208 { 0.00000002486, 5.21233869943, 140.00196957900}, 209 { 0.00000001795, 1.68007697304, 1059.38193018920}, 210 { 0.00000002326, 2.82664069146, 807.94979911340}, 211 { 0.00000001936, 5.10955276726, 216.92243216040}, 212 { 0.00000001984, 5.54760871921, 1022.73336725970}, 213 { 0.00000001835, 5.97770747608, 172.19711438360}, 214 { 0.00000002004, 5.47803248635, 63.73589830340}, 215 { 0.00000002140, 2.65037925793, 700.66423920080}, 216 { 0.00000001988, 3.35856016133, 186.21176006410}, 217 { 0.00000001956, 5.01516643942, 294.67297614430}, 218 { 0.00000001966, 4.07957525462, 20.60692781950}, 219 { 0.00000001637, 0.53824150223, 67.35923502580}, 220 { 0.00000001871, 4.15223195600, 178.13500521680}, 221 { 0.00000001540, 2.62327824804, 41.75637236020}, 222 { 0.00000001820, 5.81768086494, 129.91947716160}, 223 { 0.00000001754, 4.36839235779, 328.35259365720}, 224 { 0.00000001460, 2.63664516309, 2.85707083200}, 225 { 0.00000001388, 2.10605065495, 3.93215326310}, 226 { 0.00000001352, 0.55618245459, 0.65439130580}, 227 { 0.00000001668, 2.77543377384, 16.15350969460}, 228 { 0.00000001338, 0.37645467215, 14.01464568050}, 229 { 0.00000001218, 0.73457000060, 426.59819087600}, 230 { 0.00000001610, 3.40993998127, 403.13419222450}, 231 { 0.00000001361, 4.48227243414, 17.63798240290}, 232 { 0.00000001589, 5.59323020112, 3302.47939106200}, 233 { 0.00000001464, 4.52431769151, 526.72201967800}, 234 { 0.00000001122, 5.66659544539, 151.04766984290}, 235 { 0.00000001357, 4.06398362517, 26.82670294300}, 236 { 0.00000001494, 4.98692083723, 666.72398925700}, 237 { 0.00000001077, 4.30911470250, 0.63313944640}, 238 { 0.00000001042, 6.02756893202, 106.01353552540}, 239 { 0.00000001060, 0.74665002402, 487.36514376280}, 240 { 0.00000001310, 3.78526234581, 386.98068252990}, 241 { 0.00000001342, 4.52683913540, 563.63121503840}, 242 { 0.00000000986, 0.00602637103, 81.37388070630}, 243 { 0.00000001233, 5.17442601841, 331.32153907380}, 244 { 0.00000000929, 4.51267466208, 38.39366806870}, 245 { 0.00000000956, 3.50447791020, 64.95973858080}, 246 { 0.00000000929, 4.43109514668, 37.87240320690}, 247 { 0.00000000926, 6.09803297747, 4.14460158420}, 248 { 0.00000000972, 0.59044574729, 8.90683624980}, 249 { 0.00000001246, 4.69840799242, 389.94962794650}, 250 { 0.00000001009, 5.98445003291, 142.14083359310}, 251 { 0.00000001020, 0.83233892293, 39.35687591520}, 252 { 0.00000001013, 0.37845632082, 36.90919536040}, 253 { 0.00000001193, 0.77431842880, 44.07092647100}, 254 { 0.00000000940, 2.42688217399, 343.21857259960}, 255 { 0.00000000974, 5.24721391344, 253.57099508990}, 256 { 0.00000000964, 5.09748188959, 357.44566660120}, 257 { 0.00000000835, 1.45570317496, 35.21227433100}, 258 { 0.00000001083, 2.27578915691, 6.90109867970}, 259 { 0.00000000938, 5.03471597364, 69.36497259590}, 260 { 0.00000001078, 1.20239572961, 35.68535508300}, 261 { 0.00000001027, 0.18244384186, 84.34282612290}, 262 { 0.00000000764, 4.62720907712, 0.83008140250}, 263 { 0.00000001013, 0.42234910440, 32.45577723550}, 264 { 0.00000000939, 4.50445790730, 365.00115658670}, 265 { 0.00000000756, 0.82872484721, 17.52610781830}, 266 { 0.00000000916, 3.89409205647, 38.24491022240}, 267 { 0.00000000736, 4.78125743795, 5.36844186160}, 268 { 0.00000000755, 2.28073625559, 42.32582133180}, 269 { 0.00000000762, 0.01897337130, 189.39315380180}, 270 { 0.00000000888, 3.20358484815, 348.84764689210}, 271 { 0.00000000916, 5.04967793164, 38.02116105320}, 272 { 0.00000000638, 0.63267398066, 244.31858407500}, 273 { 0.00000000870, 4.69158261795, 210.33015002140}, 274 { 0.00000000636, 1.02615137352, 2080.63082474060}, 275 { 0.00000000774, 5.44432672662, 367.97010200330}, 276 { 0.00000000644, 1.94044995543, 446.31134681820}, 277 { 0.00000000631, 4.82928478042, 460.53844081980}, 278 { 0.00000000855, 3.57592750113, 439.78275515400}, 279 { 0.00000000678, 4.48672134948, 351.81659230870}, 280 { 0.00000000724, 4.89125815316, 119.50691634410}, 281 { 0.00000000594, 0.59315717685, 491.03666459500}, 282 { 0.00000000655, 1.99014094340, 19.01058052660}, 283 { 0.00000000580, 2.57189536244, 492.07919431860}, 284 { 0.00000000694, 0.08328898350, 5.67725840230}, 285 { 0.00000000733, 5.81485239057, 29.74746424980}, 286 { 0.00000000666, 3.42196897591, 179.09821306330}, 287 { 0.00000000678, 0.29428615814, 171.23390653710}, 288 { 0.00000000635, 2.13805182663, 164.12035953630}, 289 { 0.00000000623, 5.61454940380, 285.37238101960}, 290 { 0.00000000529, 1.88036938507, 416.77633088950}, 291 { 0.00000000529, 5.13250788030, 697.74347789400}, 292 { 0.00000000500, 1.49548514012, 704.85702489480}, 293 { 0.00000000666, 6.26456825266, 1474.67378837040}, 294 { 0.00000000532, 0.25784352716, 477.33083545520}, 295 { 0.00000000477, 4.96717541029, 274.06604832480}, 296 { 0.00000000557, 0.71390028264, 80.71948940050}, 297 { 0.00000000556, 2.60791466171, 418.26080359780}, 298 { 0.00000000584, 4.29064541383, 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0.00000000364, 0.76172331873, 104.00779795530}, 318 { 0.00000000416, 0.26654216462, 103.09277421860}, 319 { 0.00000000401, 4.06530055968, 14.66903698630}, 320 { 0.00000000454, 3.72767803715, 476.43131808350}, 321 { 0.00000000434, 0.33532124451, 984.60033162190}, 322 { 0.00000000340, 0.99917090883, 31.54075349880}, 323 { 0.00000000420, 3.65147769264, 20.49505323490}, 324 { 0.00000000334, 0.35121412008, 1227.43444298860}, 325 { 0.00000000321, 0.46861755388, 118.02244363580}, 326 { 0.00000000323, 5.45836731979, 918.15612033280}, 327 { 0.00000000407, 4.19457842203, 309.79958751760}, 328 { 0.00000000381, 0.01364856960, 495.49008271990}, 329 { 0.00000000334, 4.05924071124, 8.33738727820}, 330 { 0.00000000380, 3.17063415023, 487.62577619370}, 331 { 0.00000000380, 2.70238752925, 134.11226285560}, 332 { 0.00000000305, 2.49866234194, 12566.15169998280}, 333 { 0.00000000296, 0.33794345250, 208.84567731310}, 334 { 0.00000000362, 4.88985810610, 438.29828244570}, 335 { 0.00000000327, 2.91090790412, 505.78502345840}, 336 { 0.00000000308, 0.96082817124, 21.14944454070}, 337 { 0.00000000282, 4.04208377539, 6205.32530600750}, 338 { 0.00000000288, 1.48123825325, 220.41264243880}, 339 { 0.00000000391, 4.00154736435, 674.80074410430}, 340 { 0.00000000326, 2.46105030955, 169.53698550770}, 341 { 0.00000000289, 2.63591886401, 55.77101804070}, 342 { 0.00000000288, 5.02487283285, 1440.73353842660}, 343 { 0.00000000344, 1.48931098748, 166.56804009110}, 344 { 0.00000000277, 2.56804940377, 662.53120356300}, 345 { 0.00000000268, 5.02354540478, 377.41945497430}, 346 { 0.00000000308, 1.50179611581, 77.22927912210}, 347 { 0.00000000324, 5.30240189409, 457.61767951300}, 348 { 0.00000000264, 0.83337660655, 488.37653571910}, 349 { 0.00000000290, 1.79966899809, 101.86893394120}, 350 { 0.00000000262, 2.30390003360, 494.73932319450}, 351 { 0.00000000293, 5.61946139216, 326.86812094890}, 352 { 0.00000000325, 5.52669903629, 441.26722786230}, 353 { 0.00000000253, 1.51157242351, 79.88940799800}, 354 { 0.00000000250, 1.08902686231, 450.45594840240}, 355 { 0.00000000254, 0.02957070469, 117.36805233000}, 356 { 0.00000000315, 5.34884988949, 183.76407950930}, 357 { 0.00000000243, 0.63404014969, 79.18683258240}, 358 { 0.00000000313, 5.45945846595, 13.49338081870}, 359 { 0.00000000306, 5.23048213432, 45.24658263860}, 360 { 0.00000000263, 2.66670757215, 464.73122651380}, 361 { 0.00000000242, 6.04858356336, 36.12729806770}, 362 { 0.00000000234, 1.82700149824, 52175.80628314840}, 363 { 0.00000000275, 5.04385701142, 156.15547927360}, 364 { 0.00000000247, 1.74540930625, 65.87476231750}, 365 { 0.00000000293, 3.98736984598, 141.48644228730}, 366 { 0.00000000269, 6.09827783249, 1654.03263386460}, 367 { 0.00000000229, 2.25830514766, 190.66517818900}, 368 { 0.00000000294, 5.45234088717, 206.18554843720}, 369 { 0.00000000230, 6.13158632762, 178.34745353790}, 370 { 0.00000000274, 4.10829870815, 518.38463239980}, 371 { 0.00000000225, 3.86300359251, 171.98466606250}, 372 { 0.00000000272, 5.61149862463, 148.33935685720}, 373 { 0.00000000239, 0.67204276457, 267.58564077040}, 374 { 0.00000000256, 5.53344401207, 266.10116806210}, 375 { 0.00000000214, 1.45987234069, 522.57741809380}, 376 { 0.00000000237, 0.88414073923, 304.23420369990}, 377 { 0.00000000266, 0.99036038827, 209.10630974400}, 378 { 0.00000000235, 1.45372667222, 69.15252427480}, 379 { 0.00000000230, 0.54049951530, 532.61172640140}, 380 { 0.00000000226, 3.84152961620, 283.62727588040}, 381 { 0.00000000243, 5.32730356188, 485.92885516430}, 382 { 0.00000000211, 4.62164373274, 110.20632121940}, 383 { 0.00000000209, 4.35051429228, 536.80451209540}, 384 { 0.00000000232, 3.01948719112, 10.93382567930}, 385 { 0.00000000244, 1.32007560700, 279.74330672710}, 386 { 0.00000000246, 0.37702127050, 157.63995198190}, 387 { 0.00000000219, 5.67679857772, 52099.54021187280}, 388 { 0.00000000251, 1.52353965506, 6.85291456990}, 389 { 0.00000000203, 5.44328634514, 145.63104387150}, 390 { 0.00000000238, 0.96169703532, 497.18700374930}, 391 { 0.00000000219, 4.52300776062, 1615.89959822680}, 392 { 0.00000000275, 2.37619204391, 2118.76386037840}, 393 { 0.00000000260, 5.73101715512, 490.33408917940}, 394 { 0.00000000221, 0.02848945752, 215.43795945210}, 395 { 0.00000000258, 5.12448148780, 608.87779767700}, 396 { 0.00000000260, 3.88543008475, 513.07988101300}, 397 { 0.00000000191, 3.72590321496, 65.22037101170}, 398 { 0.00000000189, 5.28013390816, 377.15882254340}, 399 { 0.00000000243, 4.35559887596, 482.95990974770}, 400 { 0.00000000208, 5.62023497734, 526.98265210890}, 401 { 0.00000000243, 6.06790724123, 154.01661525950}, 402 { 0.00000000188, 2.62629206555, 276.77436131050}, 403 { 0.00000000209, 2.55968827096, 75.74480641380}, 404 { 0.00000000187, 4.74390535167, 1189.30140735080}, 405 { 0.00000000216, 0.02830351243, 73.55775828990}, 406 { 0.00000000227, 3.27856938091, 522.52923398400}, 407 { 0.00000000249, 1.57215637373, 14.22709400160}, 408 { 0.00000000202, 1.28244949587, 20426.57109242200}, 409 { 0.00000000238, 1.93340172124, 500.15594916590}, 410 { 0.00000000209, 5.02893682321, 364.55921360200}, 411 { 0.00000000184, 4.83097075362, 315.16802937920}, 412 { 0.00000000227, 5.72984298540, 1543.82631264520}, 413 { 0.00000000198, 3.48843299287, 207.36120460480}, 414 { 0.00000000217, 2.45036922991, 187.17496791060}, 415 { 0.00000000181, 1.65699502247, 1627.20593092160}, 416 { 0.00000000214, 1.60213179145, 11.30633269480}, 417 { 0.00000000203, 0.74638490279, 14.55716240170}, 418 { 0.00000000227, 4.05259736056, 285.11174858870}, 419 { 0.00000000192, 3.17719161639, 343.47920503050}, 420 { 0.00000000206, 1.70602580638, 913.96333463880}, 421 { 0.00000000177, 1.50027795761, 9.44935297100}, 422 { 0.00000000177, 0.03038093848, 165.60483224460}, 423 { 0.00000000229, 3.63854889639, 139.74133714810}, 424 { 0.00000000208, 2.65835804847, 496.01134758170}, 425 { 0.00000000208, 0.12968873405, 252.91660378410}, 426 { 0.00000000174, 2.76107721407, 49.17873590170}, 427 { 0.00000000185, 6.01438406519, 355.96119389290}, 428 { 0.00000000184, 3.34554375681, 95.93104310800}, 429 { 0.00000000182, 0.17588831495, 91.78644152380}, 430 { 0.00000000172, 4.15140954379, 67.88049988760}, 431 { 0.00000000188, 6.17288910532, 535.32003938710}, 432 { 0.00000000215, 1.92414563346, 552.69738935910}, 433 { 0.00000000166, 5.49038139690, 10135.53500222710}, 434 { 0.00000000195, 5.50011081154, 179.31066138440}, 435 { 0.00000000209, 5.34065233845, 13.64213866500}, 436 { 0.00000000192, 5.83612790963, 987.30864460760}, 437 { 0.00000000204, 3.46033533181, 246.97871295090}, 438 { 0.00000000174, 1.95010683512, 319.31263096340}, 439 { 0.00000000165, 4.00537112057, 493.56366702690}, 440 { 0.00000000163, 1.73931497111, 39.50563376150}, 441 { 0.00000000173, 3.93200456456, 238.90195810360}, 442 { 0.00000000214, 1.44203805516, 340.88276662940}, 443 { 0.00000000177, 5.20505417820, 474.94684537520}, 444 { 0.00000000193, 0.10674418270, 104.52906281710}, 445 { 0.00000000189, 1.11279570541, 1127.26243007680}, 446 { 0.00000000193, 2.12636756833, 20350.30502114640}, 447 { 0.00000000181, 2.10814562080, 113.87784205160}, 448 { 0.00000000165, 2.90285982491, 944.98282327580}, 449 { 0.00000000194, 1.13504963784, 57.25549074900}, 450 { 0.00000000198, 5.68125942959, 6280.10690457480}, 451 { 0.00000000156, 1.44680882209, 524.06189080210}, 452 { 0.00000000194, 0.82038638816, 10210.31660079440}, 453 { 0.00000000199, 3.01674233707, 461.76228109720}, 454 { 0.00000000163, 1.08083105653, 556.51766803760}, 455 { 0.00000000205, 4.16096717573, 711.44930703380}, 456 { 0.00000000166, 5.82269892726, 363.51668387840}, 457 { 0.00000000199, 0.73336150031, 194.28851491140}, 458 { 0.00000000168, 0.52839376810, 487.10451133190}, 459 { 0.00000000148, 3.49775706709, 447.79581952650}, 460 { 0.00000000160, 4.77748329946, 524.01370669230}, 461 { 0.00000000200, 4.93953136966, 732.97125859000}, 462 { 0.00000000201, 4.60377078221, 142.71028256470}, 463 { 0.00000000188, 3.49370600377, 1967.71619053550}, 464 { 0.00000000146, 4.99570104768, 142.66209845490}, 465 { 0.00000000147, 5.91318176956, 70.11573212130}, 466 { 0.00000000158, 4.49935225328, 249.94765836750}, 467 { 0.00000000145, 2.01584284819, 282.14280317210}, 468 { 0.00000000139, 0.04417506218, 260.99335863140}, 469 { 0.00000000176, 0.41786563552, 222.86032299360}, 470 { 0.00000000137, 2.96534233094, 6206.80977871580}, 471 { 0.00000000138, 1.22183114912, 187.69623277240}, 472 { 0.00000000147, 5.47686077634, 15.49911838880}, 473 { 0.00000000144, 0.86582247161, 170.97327410620}, 474 { 0.00000000158, 1.64284142080, 563.37058260750}, 475 { 0.00000000163, 3.40763757343, 46.51860702580}, 476 { 0.00000000127, 0.55262902348, 245.49424024260}, 477 { 0.00000000131, 1.01890930568, 140.65636088480}, 478 { 0.00000000135, 5.22138226920, 439.19779981740}, 479 { 0.00000000125, 3.31010747037, 76.78733613740}, 480 { 0.00000000127, 2.50788482744, 191.31956949480}, 481 { 0.00000000130, 3.04810037778, 310.71461125430}, 482 { 0.00000000140, 5.78513367440, 604.73319609280}, 483 { 0.00000000155, 3.83835809042, 1512.80682400820}, 484 { 0.00000000120, 2.89920382272, 422.40540518200}, 485 { 0.00000000147, 3.51503910807, 421.22974901440}, 486 { 0.00000000143, 0.29840596863, 259.50888592310}, 487 { 0.00000000122, 3.01323328703, 70.84944530420}, 488 { 0.00000000142, 4.65284277800, 528.46712481720}, 489 { 0.00000000133, 4.59396705758, 497.49582029000}, 490 { 0.00000000124, 5.80857038334, 423.67742956920}, 491 { 0.00000000119, 5.02901764495, 12489.88562870720}, 492 { 0.00000000122, 1.86088175570, 116.53797092750}, 493 { 0.00000000111, 0.77447922936, 179.35884549420}, 494 { 0.00000000141, 0.18423856688, 131.40394986990}, 495 { 0.00000000118, 0.29375056913, 252.08652238160}, 496 { 0.00000000125, 1.93416839115, 335.77495719870}, 497 { 0.00000000109, 2.39031603899, 305.08553696180}, 498 { 0.00000000125, 0.61344782123, 408.17831118040}, 499 { 0.00000000142, 0.57310802423, 296.15744885260}, 500 { 0.00000000132, 4.76684757273, 353.04043258610}, 501 { 0.00000000130, 5.12925248080, 324.72925693480}, 502 { 0.00000000115, 1.53744955496, 406.10313764110}, 503 { 0.00000000118, 6.09863412341, 169.22816896700}, 504 { 0.00000000134, 1.63469028613, 6168.67674307800}, 505 { 0.00000000144, 2.02224512289, 589.34595228860}, 506 { 0.00000000124, 2.93224816514, 179.61947792510}, 507 { 0.00000000139, 5.00897329509, 636.66770846650}, 508 { 0.00000000102, 4.57322305433, 85.82729883120}, 509 { 0.00000000126, 1.32135490674, 598.79530525960}, 510 { 0.00000000102, 4.65261542673, 57.79800747020}, 511 { 0.00000000122, 3.73358839778, 104.83787935780}, 512 { 0.00000000111, 6.18471084965, 981.63138620530}, 513 { 0.00000000117, 1.60090805440, 18.48931566480}, 514 { 0.00000000136, 5.63003448986, 525.23754696970}, 515 { 0.00000000141, 2.63342759831, 381.61224066830}, 516 { 0.00000000133, 1.71663261072, 419.74527630610}, 517 { 0.00000000127, 3.05719879887, 10098.88643929760}, 518 { 0.00000000110, 5.25051232375, 986.08480433020}, 519 { 0.00000000101, 1.40363357063, 213.95348674380}, 520 { 0.00000000097, 3.61152071016, 1587.58842257550}, 521 { 0.00000000113, 1.13223480146, 604.47256366190}, 522 { 0.00000000099, 2.04721879617, 70.58881287330}, 523 { 0.00000000119, 2.90157321317, 94.75538694040}, 524 { 0.00000000096, 2.31674172036, 227.96813242430}, 525 { 0.00000000116, 4.30714911354, 189.83509678650}, 526 { 0.00000000106, 2.23888483610, 853.19638175200}, 527 { 0.00000000096, 3.86661212196, 240.12579838100}, 528 { 0.00000000120, 3.78748778119, 1057.89745748090}, 529 { 0.00000000094, 4.82757670972, 392.91857336310}, 530 { 0.00000000102, 4.41384282230, 603.24872338450}, 531 { 0.00000000100, 2.78834593110, 1017.05610885740}, 532 { 0.00000000093, 4.54014018836, 36.69674703930}, 533 { 0.00000000107, 0.03653394273, 95.27665180220}, 534 { 0.00000000094, 0.80425312383, 432.22726516850}, 535 { 0.00000000098, 5.60599279629, 1265.56747862640}, 536 { 0.00000000109, 4.83225302495, 235.93301268700}, 537 { 0.00000000090, 5.28097582589, 946.46729598410}, 538 { 0.00000000096, 1.44316147572, 347.41135829360}, 539 { 0.00000000122, 0.77697508887, 332.80601178210}, 540 { 0.00000000090, 0.24166205071, 449.23210812500}, 541 { 0.00000000095, 2.88593540245, 1511.32235129990}, 542 { 0.00000000093, 4.33568012755, 776.93031047640}, 543 { 0.00000000110, 0.31702511154, 264.61669535380}, 544 { 0.00000000088, 3.51795785198, 316.65250208750}, 545 { 0.00000000087, 4.62145192466, 1692.16566950240}, 546 { 0.00000000094, 4.21867891011, 1024.21783996800}, 547 { 0.00000000094, 1.55501457323, 287.25061260280}, 548 { 0.00000000092, 5.57906316341, 448.97147569410}, 549 { 0.00000000116, 1.22656968212, 2042.49778910280}, 550 { 0.00000000109, 2.15910046916, 289.56516671360}, 551 { 0.00000000104, 0.20665805247, 564.85505531580}, 552 { 0.00000000092, 5.09319278852, 600.01914553700}, 553 { 0.00000000096, 6.14431281930, 1050.99635880120}, 554 { 0.00000000081, 1.89134137927, 36.60037881970}, 555 { 0.00000000080, 4.38832609440, 10137.01947493540}, 556 { 0.00000000111, 2.93920408928, 384.27236954420}, 557 { 0.00000000079, 0.97793287738, 76.31425538540}, 558 { 0.00000000079, 4.53377022456, 76.21788716580}, 559 { 0.00000000090, 5.52318874603, 943.49835056750}, 560 { 0.00000000089, 0.86440255505, 398.68077409960}, 561 { 0.00000000084, 2.75719331074, 990.22940591440}, 562 { 0.00000000105, 3.05022136412, 233.53351624200}, 563 { 0.00000000088, 1.11114202915, 103.04459010880}, 564 { 0.00000000100, 5.59794770455, 63.47526587250}, 565 { 0.00000000083, 1.13342138644, 112.39336934330}, 566 { 0.00000000089, 5.47772001536, 515.46387109300}, 567 { 0.00000000097, 3.52796776171, 452.20105354160}, 568 { 0.00000000102, 4.28702103685, 171.02145821600}, 569 { 0.00000000085, 3.12585200036, 1158.28191871380}, 570 { 0.00000000085, 1.92685738761, 1082.01584743820}, 571 { 0.00000000098, 0.63359633835, 566.60016045500}, 572 { 0.00000000092, 4.62229215777, 2043.98226181110}, 573 { 0.00000000097, 2.01931678228, 10286.58267207000}, 574 { 0.00000000097, 5.84570418188, 477.91579079180}, 575 { 0.00000000102, 0.63659106649, 656.70518731440}, 576 { 0.00000000084, 0.81307057570, 170.71264167530}, 577 { 0.00000000094, 3.69951065430, 523.75307426140}, 578 { 0.00000000090, 0.60145820130, 36.76043751410}, 579 { 0.00000000086, 2.24624509383, 344.96367773880}, 580 { 0.00000000075, 1.25466323333, 378.64329525170}, 581 { 0.00000000074, 4.92603243986, 1549.45538693770}, 582 { 0.00000000076, 2.23758392622, 1310.81406126500}, 583 { 0.00000000076, 1.03858931347, 1234.54798998940}, 584 { 0.00000000094, 5.95660239987, 560.71045373160}, 585 { 0.00000000086, 3.90953269522, 1436.54075273260}, 586 { 0.00000000090, 2.80791662014, 639.63665388310}, 587 { 0.00000000091, 0.87037832675, 369.45457471160}, 588 { 0.00000000072, 2.86956711212, 134.06407874580}, 589 { 0.00000000084, 3.30910046360, 40.84134862350}, 590 ]; 591 592 593 static const ln_vsop[LONG_L1] neptune_longitude_l1 = [ 594 { 38.13303563957, 0.00000000000, 0.00000000000}, 595 { 0.00016604172, 4.86323329249, 1.48447270830}, 596 { 0.00015744045, 2.27887427527, 38.13303563780}, 597 { 0.00001306261, 3.67285209620, 2.96894541660}, 598 { 0.00000604842, 1.50483042790, 35.16409022120}, 599 { 0.00000182909, 3.45225794434, 39.61750834610}, 600 { 0.00000195106, 0.88660326088, 76.26607127560}, 601 { 0.00000106410, 2.44986610969, 4.45341812490}, 602 { 0.00000105590, 2.75516054635, 33.67961751290}, 603 { 0.00000072757, 5.49395347003, 36.64856292950}, 604 { 0.00000057069, 5.21649804970, 0.52126486180}, 605 { 0.00000029871, 3.67043294114, 388.46515523820}, 606 { 0.00000028866, 5.16877538898, 9.56122755560}, 607 { 0.00000028742, 5.16732589024, 2.44768055480}, 608 { 0.00000025507, 5.24526281928, 168.05251279940}, 609 { 0.00000024869, 4.73193067879, 182.27960680100}, 610 { 0.00000020205, 5.78945415677, 1021.24889455140}, 611 { 0.00000019022, 1.82981144269, 484.44438245600}, 612 { 0.00000018661, 1.31606255521, 498.67147645760}, 613 { 0.00000015039, 4.94966181697, 137.03302416240}, 614 { 0.00000015094, 3.98706934679, 32.19514480460}, 615 { 0.00000010804, 1.93261742828, 41.10198105440}, 616 { 0.00000010720, 2.44148207341, 4.19278569400}, 617 { 0.00000011765, 4.87825331237, 71.81265315070}, 618 { 0.00000009363, 3.07523176644, 74.78159856730}, 619 { 0.00000009580, 1.23193270898, 5.93789083320}, 620 { 0.00000008968, 0.01758782577, 8.07675484730}, 621 { 0.00000009882, 6.08165614859, 7.11354700080}, 622 { 0.00000006992, 0.61688829918, 2.92076130680}, 623 { 0.00000006190, 5.32293546028, 114.39910691340}, 624 { 0.00000005543, 2.24141643357, 46.20979048510}, 625 { 0.00000005578, 5.45096032574, 73.29712585900}, 626 { 0.00000005858, 1.72552768872, 77.75054398390}, 627 { 0.00000003225, 4.82619066785, 98.89998852460}, 628 { 0.00000003233, 6.10277422759, 70.32818044240}, 629 { 0.00000002403, 2.90637675099, 601.76425067620}, 630 { 0.00000002398, 1.04343547015, 6.59228213900}, 631 { 0.00000002784, 4.95817105045, 108.46121608020}, 632 { 0.00000002894, 4.20148844767, 381.35160823740}, 633 { 0.00000002111, 5.93089610785, 25.60286266560}, 634 { 0.00000002343, 5.38519388332, 111.43016149680}, 635 { 0.00000002075, 5.20634366104, 30.71067209630}, 636 { 0.00000002126, 0.54976393131, 41.05379694460}, 637 { 0.00000001856, 0.89178118176, 24.11838995730}, 638 { 0.00000002223, 2.37864617899, 453.42489381900}, 639 { 0.00000002018, 3.42245277134, 31.01948863700}, 640 { 0.00000001700, 3.91715254179, 11.04570026390}, 641 { 0.00000001776, 3.86571077241, 395.57870223900}, 642 { 0.00000001646, 3.34591591398, 44.72531777680}, 643 { 0.00000001876, 2.59784473507, 33.94024994380}, 644 { 0.00000001468, 6.12983933526, 1550.93985964600}, 645 { 0.00000001405, 6.13184010665, 490.07345674850}, 646 { 0.00000001207, 0.59525736062, 312.19908396260}, 647 { 0.00000001607, 0.31467769026, 175.16605980020}, 648 { 0.00000001176, 5.87266726996, 5.41662597140}, 649 { 0.00000001333, 3.29176219816, 493.04240216510}, 650 { 0.00000001037, 4.89007314395, 1.27202438720}, 651 { 0.00000001034, 5.93741289103, 32.71640966640}, 652 { 0.00000001038, 1.13470380744, 1014.13534755060}, 653 { 0.00000001002, 1.85850922283, 5.10780943070}, 654 { 0.00000000983, 0.05347709280, 7.42236354150}, 655 { 0.00000000998, 1.73689827444, 1028.36244155220}, 656 { 0.00000001193, 4.63534810298, 60.76695288680}, 657 { 0.00000000940, 3.09103162869, 62.25142559510}, 658 { 0.00000000994, 4.11489180313, 4.66586644600}, 659 { 0.00000000890, 0.87049255398, 31.23193695810}, 660 { 0.00000001218, 3.13917786778, 491.55792945680}, 661 { 0.00000000852, 5.35508393873, 144.14657116320}, 662 { 0.00000000926, 5.11983602547, 145.10977900970}, 663 { 0.00000000789, 0.37496785039, 26.82670294300}, 664 { 0.00000000711, 3.14189997439, 278.25883401880}, 665 { 0.00000000727, 1.39886876821, 213.29909543800}, 666 { 0.00000000781, 0.11084554410, 173.68158709190}, 667 { 0.00000000669, 4.50554989404, 27.08733537390}, 668 { 0.00000000825, 1.35568911825, 129.91947716160}, 669 { 0.00000000738, 3.56612220900, 176.65053250850}, 670 { 0.00000000714, 6.24797506961, 106.97674337190}, 671 { 0.00000000650, 1.12660516258, 68.84370773410}, 672 { 0.00000000624, 0.01563274460, 28.57180808220}, 673 { 0.00000000608, 4.60180625368, 189.39315380180}, 674 { 0.00000000719, 0.22946487975, 42.58645376270}, 675 { 0.00000000530, 5.61201247156, 12.53017297220}, 676 { 0.00000000642, 0.70172928732, 529.69096509460}, 677 { 0.00000000494, 2.56554862431, 251.43213107580}, 678 { 0.00000000526, 3.02138731705, 5.62907429250}, 679 { 0.00000000456, 4.44331571392, 43.24084506850}, 680 { 0.00000000524, 3.43311475385, 38.65430049960}, 681 { 0.00000000436, 2.41601362194, 82.85835341460}, 682 { 0.00000000424, 1.95736011325, 477.33083545520}, 683 { 0.00000000443, 3.39350944965, 357.44566660120}, 684 { 0.00000000401, 0.17854032412, 567.82400073240}, 685 { 0.00000000382, 1.90239879977, 22.63391724900}, 686 { 0.00000000479, 5.55147421917, 37.61177077600}, 687 { 0.00000000462, 3.80436146981, 343.21857259960}, 688 { 0.00000000384, 5.60377408953, 594.65070367540}, 689 { 0.00000000369, 4.45577410338, 6.90109867970}, 690 { 0.00000000358, 3.69126615846, 3.93215326310}, 691 { 0.00000000352, 3.10946988482, 135.54855145410}, 692 { 0.00000000424, 5.29683941547, 181.75834193920}, 693 { 0.00000000361, 0.29019719613, 72.07328558160}, 694 { 0.00000000390, 5.49494308738, 350.33211960040}, 695 { 0.00000000378, 2.74122401337, 488.37653571910}, 696 { 0.00000000372, 0.39980033572, 494.73932319450}, 697 { 0.00000000353, 1.10614174053, 20.60692781950}, 698 { 0.00000000307, 3.30113579069, 1066.49547719000}, 699 { 0.00000000307, 5.39420288683, 160.93896579860}, 700 { 0.00000000369, 0.36210011664, 79.23501669220}, 701 { 0.00000000395, 1.93577214824, 10137.01947493540}, 702 { 0.00000000288, 2.28751244512, 47.69426319340}, 703 { 0.00000000291, 3.07789638770, 69.36497259590}, 704 { 0.00000000295, 2.48737537240, 19.12245511120}, 705 { 0.00000000293, 2.25797853419, 1052.26838318840}, 706 { 0.00000000298, 3.57815428349, 40.58071619260}, 707 { 0.00000000290, 0.18636083306, 143.62530630140}, 708 { 0.00000000274, 2.58630290331, 119.50691634410}, 709 { 0.00000000266, 1.21002824826, 505.78502345840}, 710 { 0.00000000252, 3.12744980468, 460.53844081980}, 711 { 0.00000000328, 0.50849285663, 6206.80977871580}, 712 { 0.00000000257, 3.64119923209, 446.31134681820}, 713 { 0.00000000239, 5.54080102299, 911.04257333200}, 714 { 0.00000000265, 0.62702473701, 253.57099508990}, 715 { 0.00000000287, 2.44403568436, 16.67477455640}, 716 { 0.00000000231, 2.47183469179, 454.90936652730}, 717 { 0.00000000281, 1.48514892087, 983.11585891360}, 718 { 0.00000000212, 5.41931177641, 64.95973858080}, 719 { 0.00000000213, 1.64175339637, 1089.12939443900}, 720 { 0.00000000238, 2.69801319489, 882.94384600180}, 721 { 0.00000000210, 4.53976756699, 1093.32218013300}, 722 { 0.00000000217, 3.52601381097, 152.53214255120}, 723 { 0.00000000216, 5.44223069507, 39.09624348430}, 724 { 0.00000000256, 0.42073598460, 23.90594163620}, 725 { 0.00000000202, 3.65153361854, 556.51766803760}, 726 { 0.00000000224, 4.43751404513, 639.89728631400}, 727 { 0.00000000198, 3.24942532936, 10251.41858184880}, 728 { 0.00000000191, 0.70266181509, 149.56319713460}, 729 { 0.00000000190, 2.64945536417, 984.60033162190}, 730 { 0.00000000189, 4.05785534221, 120.99138905240}, 731 { 0.00000000184, 2.24245977278, 815.06334611420}, 732 { 0.00000000202, 3.43517686770, 45.24658263860}, 733 { 0.00000000193, 2.15194865652, 67.35923502580}, 734 { 0.00000000175, 4.49165234532, 171.23390653710}, 735 { 0.00000000171, 5.50633466316, 179.09821306330}, 736 { 0.00000000200, 6.12663205401, 14.22709400160}, 737 { 0.00000000173, 2.61074067302, 389.94962794650}, 738 { 0.00000000192, 3.17111883673, 868.71675200020}, 739 { 0.00000000167, 3.94754384833, 77.22927912210}, 740 { 0.00000000166, 3.41009128748, 81.37388070630}, 741 { 0.00000000166, 4.89205139167, 872.90953769420}, 742 { 0.00000000170, 0.16973531975, 115.88357962170}, 743 { 0.00000000161, 2.55224034702, 487.36514376280}, 744 { 0.00000000164, 1.49614763031, 63.73589830340}, 745 { 0.00000000176, 3.86129425367, 148.33935685720}, 746 { 0.00000000171, 2.47073358147, 109.94568878850}, 747 { 0.00000000161, 2.22215642318, 574.93754773320}, 748 { 0.00000000188, 3.63784698745, 106.01353552540}, 749 { 0.00000000171, 0.66899426684, 179.31066138440}, 750 { 0.00000000158, 3.36297374123, 285.37238101960}, 751 { 0.00000000161, 1.21480182441, 1024.43028828910}, 752 { 0.00000000183, 5.45168150656, 218.40690486870}, 753 { 0.00000000156, 0.64321524870, 1029.84691426050}, 754 { 0.00000000151, 5.30865874765, 348.84764689210}, 755 { 0.00000000147, 1.80689177510, 377.41945497430}, 756 { 0.00000000193, 2.30767977885, 1447.84708542740}, 757 { 0.00000000149, 0.47455340012, 274.06604832480}, 758 { 0.00000000137, 2.14480227115, 563.63121503840}, 759 { 0.00000000137, 2.60839453958, 354.52490529440}, 760 { 0.00000000137, 1.41568352361, 386.98068252990}, 761 { 0.00000000136, 1.30429476661, 105.49227066360}, 762 { 0.00000000131, 5.83845597009, 419.48464387520}, 763 { 0.00000000127, 3.98728588464, 84.34282612290}, 764 { 0.00000000142, 1.22597408614, 142.14083359310}, 765 { 0.00000000123, 4.43184301227, 211.81462272970}, 766 { 0.00000000134, 4.16039500373, 169.53698550770}, 767 { 0.00000000121, 0.29301015084, 206.18554843720}, 768 { 0.00000000129, 2.67625064707, 180.79513409270}, 769 { 0.00000000119, 0.92800049940, 42.32582133180}, 770 { 0.00000000119, 4.35793909281, 14.01464568050}, 771 { 0.00000000134, 3.18869031781, 166.56804009110}, 772 { 0.00000000116, 4.81575725589, 560.71045373160}, 773 { 0.00000000135, 5.07450847539, 426.59819087600}, 774 { 0.00000000116, 4.29863269938, 138.51749687070}, 775 { 0.00000000129, 1.62619100480, 875.83029900100}, 776 { 0.00000000132, 2.97512323405, 258.02441321480}, 777 { 0.00000000129, 3.64795533299, 183.76407950930}, 778 { 0.00000000115, 1.48047840752, 219.89137757700}, 779 { 0.00000000116, 6.06435577890, 220.41264243880}, 780 { 0.00000000111, 5.34758096393, 670.91677495100}, 781 { 0.00000000123, 4.46585892600, 1022.73336725970}, 782 { 0.00000000111, 1.56986129352, 531.17543780290}, 783 { 0.00000000107, 0.80503196962, 1060.86640289750}, 784 { 0.00000000130, 3.49889244997, 799.56422772540}, 785 { 0.00000000108, 4.19624502746, 157.63995198190}, 786 { 0.00000000116, 5.58946533219, 35.68535508300}, 787 { 0.00000000102, 5.42185685225, 79.18683258240}, 788 { 0.00000000133, 4.95875659093, 6283.07584999140}, 789 { 0.00000000111, 1.45068439598, 433.71173787680}, 790 { 0.00000000108, 1.03915893069, 488.58898404020}, 791 { 0.00000000108, 2.10259280512, 494.52687487340}, 792 { 0.00000000114, 1.95389133455, 91.78644152380}, 793 { 0.00000000106, 0.86997192127, 1059.38193018920}, 794 { 0.00000000097, 4.22245180427, 67.88049988760}, 795 { 0.00000000126, 0.09441818431, 10213.28554621100}, 796 { 0.00000000109, 5.76793513384, 518.38463239980}, 797 { 0.00000000094, 3.29085817288, 949.17560896980}, 798 { 0.00000000090, 0.36813455675, 310.71461125430}, 799 { 0.00000000093, 2.03533728562, 10175.15251057320}, 800 { 0.00000000093, 1.45987720796, 422.40540518200}, 801 { 0.00000000097, 0.74486754369, 485.92885516430}, 802 { 0.00000000097, 4.49932032174, 632.78373931320}, 803 { 0.00000000095, 5.54259846730, 497.18700374930}, 804 { 0.00000000100, 3.82035103648, 110.20632121940}, 805 { 0.00000000085, 3.16062166564, 522.57741809380}, 806 { 0.00000000097, 6.05634816495, 482.95990974770}, 807 { 0.00000000095, 0.23111784604, 500.15594916590}, 808 { 0.00000000080, 5.79669381067, 313.68355667090}, 809 { 0.00000000084, 2.64687115752, 536.80451209540}, 810 { 0.00000000097, 3.21200267248, 97.41551581630}, 811 { 0.00000000078, 4.29527108326, 605.95703637020}, 812 { 0.00000000082, 2.59093334256, 244.31858407500}, 813 { 0.00000000079, 4.56190413535, 361.63845229520}, 814 { 0.00000000077, 2.35507598764, 184.72728735580}, 815 { 0.00000000073, 3.90646647360, 1019.76442184310}, 816 { 0.00000000092, 5.35417312882, 44.07092647100}, 817 { 0.00000000097, 1.10874938473, 1371.58101415180}, 818 ]; 819 820 821 static const ln_vsop[LONG_L2] neptune_longitude_l2 = [ 822 { 0.00000286136, 1.18985661922, 38.13303563780}, 823 { 0.00000295650, 1.85520880574, 1.48447270830}, 824 { 0.00000102284, 0.00000000000, 0.00000000000}, 825 { 0.00000022987, 1.21060882957, 2.96894541660}, 826 { 0.00000007332, 0.53982718012, 2.44768055480}, 827 { 0.00000009112, 4.42541280638, 35.16409022120}, 828 { 0.00000005223, 0.67422237527, 168.05251279940}, 829 { 0.00000005201, 3.02334762854, 182.27960680100}, 830 { 0.00000003925, 3.53215364421, 484.44438245600}, 831 { 0.00000003741, 5.90239568618, 498.67147645760}, 832 { 0.00000003054, 0.28898269237, 4.45341812490}, 833 { 0.00000003382, 5.91086982903, 76.26607127560}, 834 { 0.00000003289, 1.84550132467, 175.16605980020}, 835 { 0.00000002157, 1.89134644831, 388.46515523820}, 836 { 0.00000002211, 4.37947574774, 7.11354700080}, 837 { 0.00000001955, 5.15138892758, 33.67961751290}, 838 { 0.00000001847, 3.48560457075, 9.56122755560}, 839 { 0.00000002436, 4.68322560973, 491.55792945680}, 840 { 0.00000001674, 2.55582666306, 36.64856292950}, 841 { 0.00000001309, 4.52441960698, 1021.24889455140}, 842 { 0.00000001081, 0.38230409887, 137.03302416240}, 843 { 0.00000000664, 0.87638209009, 4.19278569400}, 844 { 0.00000000516, 6.23450266091, 381.35160823740}, 845 { 0.00000000497, 2.24615784762, 395.57870223900}, 846 { 0.00000000486, 5.23098153853, 39.61750834610}, 847 { 0.00000000582, 5.25717304070, 31.01948863700}, 848 { 0.00000000395, 5.45450678888, 5.93789083320}, 849 { 0.00000000382, 4.60921220106, 8.07675484730}, 850 { 0.00000000435, 0.40412683723, 98.89998852460}, 851 { 0.00000000351, 1.32083544720, 601.76425067620}, 852 { 0.00000000270, 2.97193645281, 73.29712585900}, 853 { 0.00000000247, 2.89695614593, 189.39315380180}, 854 { 0.00000000235, 4.11675607570, 114.39910691340}, 855 { 0.00000000240, 3.56640034110, 41.10198105440}, 856 { 0.00000000242, 4.39232827391, 220.41264243880}, 857 { 0.00000000242, 5.56816734078, 343.21857259960}, 858 { 0.00000000220, 1.61117582925, 357.44566660120}, 859 { 0.00000000215, 1.21535463029, 74.78159856730}, 860 { 0.00000000198, 0.53499909652, 64.95973858080}, 861 { 0.00000000212, 0.05943058707, 493.04240216510}, 862 { 0.00000000206, 0.20022831995, 1028.36244155220}, 863 { 0.00000000264, 2.83515920571, 144.14657116320}, 864 { 0.00000000187, 0.52144835978, 46.20979048510}, 865 { 0.00000000247, 5.85680172451, 1059.38193018920}, 866 { 0.00000000228, 0.20021706844, 60.76695288680}, 867 { 0.00000000184, 3.01962045713, 1014.13534755060}, 868 { 0.00000000177, 3.63909894715, 983.11585891360}, 869 { 0.00000000172, 3.66036463613, 477.33083545520}, 870 { 0.00000000182, 1.92429336792, 183.76407950930}, 871 { 0.00000000171, 3.76746326227, 129.91947716160}, 872 { 0.00000000169, 4.91188584697, 166.56804009110}, 873 { 0.00000000157, 5.89309507727, 169.53698550770}, 874 { 0.00000000194, 1.51802955592, 71.81265315070}, 875 { 0.00000000114, 0.48567381491, 419.48464387520}, 876 { 0.00000000103, 2.80609907986, 433.71173787680}, 877 { 0.00000000093, 0.66549730538, 251.43213107580}, 878 { 0.00000000086, 5.12698345709, 567.82400073240}, 879 { 0.00000000086, 2.24868532014, 312.19908396260}, 880 { 0.00000000079, 2.04262119026, 274.06604832480}, 881 ]; 882 883 884 static const ln_vsop[LONG_L3] neptune_longitude_l3 = [ 885 { 0.00000012472, 6.04427218715, 1.48447270830}, 886 { 0.00000011257, 6.11436681584, 38.13303563780}, 887 { 0.00000004354, 3.14159265359, 0.00000000000}, 888 { 0.00000001390, 4.95198243861, 2.96894541660}, 889 { 0.00000000745, 2.37751238105, 168.05251279940}, 890 { 0.00000000710, 1.29216892369, 182.27960680100}, 891 { 0.00000000540, 5.25465584672, 484.44438245600}, 892 { 0.00000000520, 4.18622893104, 498.67147645760}, 893 { 0.00000000664, 0.55871435877, 31.01948863700}, 894 { 0.00000000301, 2.69253200796, 7.11354700080}, 895 { 0.00000000192, 2.01562375989, 137.03302416240}, 896 { 0.00000000168, 6.26790496230, 357.44566660120}, 897 { 0.00000000183, 4.12898383544, 76.26607127560}, 898 { 0.00000000144, 2.84518337934, 460.53844081980}, 899 { 0.00000000144, 3.93173694550, 446.31134681820}, 900 { 0.00000000108, 3.45112519708, 522.57741809380}, 901 { 0.00000000108, 2.36456446266, 536.80451209540}, 902 { 0.00000000085, 4.34146183645, 433.71173787680}, 903 ]; 904 905 906 static const ln_vsop[LAT_B0] neptune_latitude_b0 = [ 907 { 0.03088622933, 1.44104372644, 38.13303563780}, 908 { 0.00027780087, 5.91271884599, 76.26607127560}, 909 { 0.00027623609, 0.00000000000, 0.00000000000}, 910 { 0.00015355489, 2.52123799551, 36.64856292950}, 911 { 0.00015448133, 3.50877079215, 39.61750834610}, 912 { 0.00001999918, 1.50998668632, 74.78159856730}, 913 { 0.00001967540, 4.37778196626, 1.48447270830}, 914 { 0.00001015137, 3.21560997434, 35.16409022120}, 915 { 0.00000605767, 2.80246592015, 73.29712585900}, 916 { 0.00000594878, 2.12892696997, 41.10198105440}, 917 { 0.00000588806, 3.18655898167, 2.96894541660}, 918 { 0.00000401830, 4.16883411107, 114.39910691340}, 919 { 0.00000254333, 3.27120475878, 453.42489381900}, 920 { 0.00000261647, 3.76722702982, 213.29909543800}, 921 { 0.00000279963, 1.68165289071, 77.75054398390}, 922 { 0.00000205590, 4.25652269561, 529.69096509460}, 923 { 0.00000140455, 3.52969120587, 137.03302416240}, 924 { 0.00000098530, 4.16774786185, 33.67961751290}, 925 { 0.00000051257, 1.95120897519, 4.45341812490}, 926 { 0.00000067971, 4.66970488716, 71.81265315070}, 927 { 0.00000041931, 5.41783733708, 111.43016149680}, 928 { 0.00000041822, 5.94831807711, 112.91463420510}, 929 { 0.00000030637, 0.93620784844, 42.58645376270}, 930 { 0.00000011084, 5.88898642607, 108.46121608020}, 931 { 0.00000009620, 0.03946190739, 70.32818044240}, 932 { 0.00000009664, 0.22454439644, 79.23501669220}, 933 { 0.00000009728, 5.30069291338, 32.19514480460}, 934 { 0.00000007386, 3.00684969443, 426.59819087600}, 935 { 0.00000007087, 0.12539126589, 109.94568878850}, 936 { 0.00000006021, 6.20509673404, 115.88357962170}, 937 { 0.00000006169, 3.62095364534, 983.11585891360}, 938 { 0.00000004778, 0.75209801727, 5.93789083320}, 939 { 0.00000006391, 5.84641678934, 148.07872442630}, 940 { 0.00000006250, 2.41685076974, 152.53214255120}, 941 { 0.00000004538, 5.58174697144, 175.16605980020}, 942 { 0.00000005006, 4.60821553923, 1059.38193018920}, 943 { 0.00000004289, 4.19647890252, 47.69426319340}, 944 { 0.00000005795, 5.07512593683, 415.29185818120}, 945 { 0.00000004749, 2.51604900018, 37.61177077600}, 946 { 0.00000004119, 1.72780379682, 28.57180808220}, 947 { 0.00000004076, 6.00250763264, 145.10977900970}, 948 { 0.00000004429, 5.66004129948, 98.89998852460}, 949 { 0.00000003950, 2.74109077312, 350.33211960040}, 950 { 0.00000004091, 1.61788463987, 39.09624348430}, 951 { 0.00000004130, 4.40683058061, 37.16982779130}, 952 { 0.00000004710, 3.50928512298, 38.65430049960}, 953 { 0.00000004440, 4.78977105547, 38.08485152800}, 954 { 0.00000004433, 1.23386935925, 38.18121974760}, 955 { 0.00000003762, 4.83946937242, 491.55792945680}, 956 { 0.00000002606, 1.20948074983, 451.94042111070}, 957 { 0.00000002536, 2.18629981865, 454.90936652730}, 958 { 0.00000002328, 5.19777734610, 72.07328558160}, 959 { 0.00000002502, 0.85987169644, 106.97674337190}, 960 { 0.00000002342, 0.81385415125, 4.19278569400}, 961 { 0.00000001981, 0.46628243826, 184.72728735580}, 962 { 0.00000001963, 6.01908740123, 44.07092647100}, 963 { 0.00000002180, 0.70099749848, 206.18554843720}, 964 { 0.00000001814, 3.64693569553, 220.41264243880}, 965 { 0.00000001811, 0.40438727680, 40.58071619260}, 966 { 0.00000001706, 6.13546176473, 181.75834193920}, 967 { 0.00000001855, 5.61617808686, 35.68535508300}, 968 { 0.00000001595, 2.97142092029, 37.87240320690}, 969 { 0.00000001785, 2.42173650828, 388.46515523820}, 970 { 0.00000001595, 3.05261042370, 38.39366806870}, 971 { 0.00000001437, 1.48678263330, 135.54855145410}, 972 { 0.00000001387, 2.46128498127, 138.51749687070}, 973 { 0.00000001367, 1.52035493296, 68.84370773410}, 974 { 0.00000001575, 3.58964541604, 38.02116105320}, 975 { 0.00000001297, 5.06156596334, 33.94024994380}, 976 { 0.00000001487, 0.20211319124, 30.05628079050}, 977 { 0.00000001504, 5.80298305102, 46.20979048510}, 978 { 0.00000001192, 0.87274762791, 42.32582133180}, 979 { 0.00000001569, 2.43405967107, 38.24491022240}, 980 { 0.00000001207, 1.84658709550, 251.43213107580}, 981 { 0.00000001015, 0.53439848924, 129.91947716160}, 982 { 0.00000001000, 2.47430267510, 312.19908396260}, 983 { 0.00000000989, 3.41493531823, 144.14657116320}, 984 { 0.00000000963, 4.31728030609, 151.04766984290}, 985 { 0.00000001020, 0.98204578051, 143.62530630140}, 986 { 0.00000000940, 1.02983172757, 221.37585028530}, 987 { 0.00000000938, 2.43648016071, 567.82400073240}, 988 { 0.00000001111, 0.65217589630, 146.59425171800}, 989 { 0.00000000778, 0.00147489924, 218.40690486870}, 990 { 0.00000000895, 0.25116382531, 30.71067209630}, 991 { 0.00000000795, 5.80508903944, 149.56319713460}, 992 { 0.00000000737, 3.40041191615, 446.31134681820}, 993 { 0.00000000719, 1.43797240082, 8.07675484730}, 994 { 0.00000000720, 0.00651007550, 460.53844081980}, 995 { 0.00000000766, 4.03381639032, 522.57741809380}, 996 { 0.00000000666, 1.39459333877, 84.34282612290}, 997 { 0.00000000584, 1.01405548157, 536.80451209540}, 998 { 0.00000000596, 0.62385371171, 35.21227433100}, 999 { 0.00000000598, 5.39942003543, 41.05379694460}, 1000 { 0.00000000475, 5.80146378263, 7.42236354150}, 1001 { 0.00000000510, 1.34408868529, 258.02441321480}, 1002 { 0.00000000458, 5.25296349653, 80.71948940050}, 1003 { 0.00000000421, 3.24495106241, 416.77633088950}, 1004 { 0.00000000446, 1.19100879284, 180.27386923090}, 1005 { 0.00000000472, 0.92703398655, 44.72531777680}, 1006 { 0.00000000388, 1.68493201140, 183.24281464750}, 1007 { 0.00000000375, 0.15241043424, 255.05546779820}, 1008 { 0.00000000354, 4.21553560271, 0.96320784650}, 1009 { 0.00000000380, 2.17069237734, 105.49227066360}, 1010 { 0.00000000341, 4.79196775965, 110.20632121940}, 1011 { 0.00000000427, 5.15774558344, 31.54075349880}, 1012 { 0.00000000301, 3.45817005630, 100.38446123290}, 1013 { 0.00000000298, 2.26795857315, 639.89728631400}, 1014 { 0.00000000279, 0.25689162963, 39.50563376150}, 1015 { 0.00000000320, 3.58027351264, 45.24658263860}, 1016 { 0.00000000269, 5.72024180826, 36.76043751410}, 1017 { 0.00000000247, 0.60910176939, 186.21176006410}, 1018 { 0.00000000245, 0.64173616285, 419.48464387520}, 1019 { 0.00000000235, 0.73189197672, 10213.28554621100}, 1020 { 0.00000000232, 0.37399769205, 490.07345674850}, 1021 { 0.00000000230, 5.76579551439, 12.53017297220}, 1022 { 0.00000000240, 4.13474003423, 0.52126486180}, 1023 { 0.00000000279, 1.62813369297, 294.67297614430}, 1024 { 0.00000000238, 2.18530921569, 219.89137757700}, 1025 { 0.00000000262, 3.08411150984, 6.59228213900}, 1026 { 0.00000000217, 2.93258397672, 27.08733537390}, 1027 { 0.00000000217, 4.69259794345, 406.10313764110}, 1028 { 0.00000000219, 1.35160367448, 216.92243216040}, 1029 { 0.00000000200, 2.35228881303, 605.95703637020}, 1030 { 0.00000000232, 3.92583619589, 1512.80682400820}, 1031 { 0.00000000223, 5.52411141993, 187.69623277240}, 1032 { 0.00000000190, 0.29170678080, 291.70403072770}, 1033 { 0.00000000236, 3.12468256482, 563.63121503840}, 1034 { 0.00000000193, 0.53307912023, 60.76695288680}, 1035 { 0.00000000215, 3.78391258991, 103.09277421860}, 1036 { 0.00000000172, 5.63262770751, 7.11354700080}, 1037 { 0.00000000164, 4.14647236992, 77.22927912210}, 1038 { 0.00000000162, 0.71904053601, 11.04570026390}, 1039 { 0.00000000160, 4.23625258528, 487.36514376280}, 1040 { 0.00000000191, 0.37601781666, 31.01948863700}, 1041 { 0.00000000157, 1.02419759383, 6283.07584999140}, 1042 { 0.00000000157, 4.42530429545, 6206.80977871580}, 1043 { 0.00000000178, 6.24797160212, 316.39186965660}, 1044 { 0.00000000161, 5.65988283675, 343.21857259960}, 1045 { 0.00000000153, 5.58414765899, 252.08652238160}, 1046 { 0.00000000189, 4.80791039970, 641.12112659140}, 1047 { 0.00000000166, 5.50438043690, 662.53120356300}, 1048 { 0.00000000146, 5.08949604858, 286.59622129700}, 1049 { 0.00000000145, 2.13015521882, 2042.49778910280}, 1050 { 0.00000000156, 2.19405770242, 274.06604832480}, 1051 { 0.00000000148, 4.85749820683, 442.75170057060}, 1052 { 0.00000000187, 4.96121139093, 1589.07289528380}, 1053 { 0.00000000155, 2.28259405687, 142.14083359310}, 1054 { 0.00000000134, 1.29277232397, 456.39383923560}, 1055 { 0.00000000126, 5.59769497652, 179.35884549420}, 1056 { 0.00000000146, 2.53463818201, 256.53994050650}, 1057 { 0.00000000140, 1.57962199938, 75.74480641380}, 1058 { 0.00000000123, 0.05437698562, 944.98282327580}, 1059 { 0.00000000122, 1.90676170566, 418.26080359780}, 1060 { 0.00000000154, 1.86816969261, 331.32153907380}, 1061 { 0.00000000144, 5.52321332407, 14.01464568050}, 1062 { 0.00000000139, 2.80726892154, 82.85835341460}, 1063 { 0.00000000107, 0.66980589221, 190.66517818900}, 1064 { 0.00000000114, 1.48896223432, 253.57099508990}, 1065 { 0.00000000110, 5.32587573069, 240.12579838100}, 1066 { 0.00000000105, 0.65340064265, 173.68158709190}, 1067 { 0.00000000102, 2.58735834098, 450.45594840240}, 1068 { 0.00000000099, 0.43935555771, 328.35259365720}, 1069 { 0.00000000101, 4.71130182307, 117.36805233000}, 1070 { 0.00000000095, 2.17590506749, 101.86893394120}, 1071 { 0.00000000094, 0.55008356412, 293.18850343600}, 1072 { 0.00000000093, 0.63642129305, 377.15882254340}, 1073 { 0.00000000091, 5.84828809934, 10137.01947493540}, 1074 { 0.00000000089, 1.02829282520, 1021.24889455140}, 1075 { 0.00000000094, 1.79318047295, 493.04240216510}, 1076 { 0.00000000080, 1.58140274465, 69.15252427480}, 1077 { 0.00000000074, 0.23362667562, 63.73589830340}, 1078 { 0.00000000071, 1.51961975694, 488.58898404020}, 1079 ]; 1080 1081 1082 static const ln_vsop[LAT_B1] neptune_latitude_b1 = [ 1083 { 0.00005150897, 2.14270496419, 38.13303563780}, 1084 { 0.00000258298, 5.46539598920, 76.26607127560}, 1085 { 0.00000251862, 4.40444268588, 36.64856292950}, 1086 { 0.00000234436, 1.65983511437, 39.61750834610}, 1087 { 0.00000208814, 0.00000000000, 0.00000000000}, 1088 { 0.00000025312, 6.00917621033, 35.16409022120}, 1089 { 0.00000017795, 4.95721064558, 213.29909543800}, 1090 { 0.00000017841, 0.44821000048, 41.10198105440}, 1091 { 0.00000013152, 1.49958304388, 529.69096509460}, 1092 { 0.00000010729, 4.39946094022, 73.29712585900}, 1093 { 0.00000008422, 1.55833887152, 2.96894541660}, 1094 { 0.00000005650, 2.15782280490, 74.78159856730}, 1095 { 0.00000005164, 3.68693766150, 114.39910691340}, 1096 { 0.00000005439, 0.26747546514, 77.75054398390}, 1097 { 0.00000004883, 5.47281451218, 1.48447270830}, 1098 { 0.00000001863, 5.45718239014, 71.81265315070}, 1099 { 0.00000001956, 0.59394993708, 33.67961751290}, 1100 { 0.00000001486, 0.26979020045, 4.45341812490}, 1101 { 0.00000001482, 5.46695876828, 42.58645376270}, 1102 { 0.00000000881, 4.07805940363, 37.61177077600}, 1103 { 0.00000000881, 1.94513348170, 38.65430049960}, 1104 { 0.00000000851, 2.39564495000, 206.18554843720}, 1105 { 0.00000000606, 1.99397575028, 220.41264243880}, 1106 { 0.00000000552, 2.27385531237, 137.03302416240}, 1107 { 0.00000000425, 5.31717031249, 112.91463420510}, 1108 { 0.00000000444, 1.89596154412, 40.58071619260}, 1109 { 0.00000000405, 2.23350335799, 129.91947716160}, 1110 { 0.00000000445, 1.89735718846, 47.69426319340}, 1111 { 0.00000000390, 3.00112052361, 111.43016149680}, 1112 { 0.00000000444, 4.12778640748, 35.68535508300}, 1113 { 0.00000000390, 1.72106368725, 144.14657116320}, 1114 { 0.00000000447, 4.12632050294, 28.57180808220}, 1115 { 0.00000000385, 0.60554020191, 426.59819087600}, 1116 { 0.00000000443, 0.66667071474, 350.33211960040}, 1117 { 0.00000000413, 2.53628535203, 453.42489381900}, 1118 { 0.00000000322, 2.78214046965, 983.11585891360}, 1119 { 0.00000000294, 5.10116120513, 446.31134681820}, 1120 { 0.00000000332, 2.57248850528, 1059.38193018920}, 1121 { 0.00000000288, 4.58741150748, 460.53844081980}, 1122 { 0.00000000288, 0.74693614733, 70.32818044240}, 1123 { 0.00000000275, 1.46123635585, 175.16605980020}, 1124 { 0.00000000237, 6.26990493578, 522.57741809380}, 1125 { 0.00000000254, 5.45401514230, 536.80451209540}, 1126 { 0.00000000228, 2.46457859271, 98.89998852460}, 1127 { 0.00000000204, 5.30009848697, 5.93789083320}, 1128 { 0.00000000142, 1.52594076364, 109.94568878850}, 1129 { 0.00000000167, 5.03534602485, 79.23501669220}, 1130 { 0.00000000133, 2.11377639696, 152.53214255120}, 1131 { 0.00000000082, 3.63263716103, 491.55792945680}, 1132 ]; 1133 1134 1135 static const ln_vsop[LAT_B2] neptune_latitude_b2 = [ 1136 { 0.00000042058, 1.91480759314, 38.13303563780}, 1137 { 0.00000004359, 4.77459417163, 39.61750834610}, 1138 { 0.00000004230, 1.12991232222, 36.64856292950}, 1139 { 0.00000004166, 4.37185631758, 76.26607127560}, 1140 { 0.00000001235, 0.13036455232, 213.29909543800}, 1141 { 0.00000000905, 3.05640125957, 529.69096509460}, 1142 { 0.00000000743, 3.14159265359, 0.00000000000}, 1143 { 0.00000000380, 1.70771699530, 35.16409022120}, 1144 { 0.00000000328, 4.23287817216, 41.10198105440}, 1145 { 0.00000000188, 1.15191208244, 220.41264243880}, 1146 { 0.00000000132, 4.73251124812, 206.18554843720}, 1147 { 0.00000000084, 3.93928282212, 129.91947716160}, 1148 { 0.00000000080, 0.01151271706, 144.14657116320}, 1149 ]; 1150 1151 1152 static const ln_vsop[LAT_B3] neptune_latitude_b3 = [ 1153 { 0.00000004131, 3.06928911462, 38.13303563780}, 1154 { 0.00000000143, 4.00453590187, 36.64856292950}, 1155 ]; 1156 1157 1158 static const ln_vsop[RADIUS_R0] neptune_radius_r0 = [ 1159 { 30.07013205828, 0.00000000000, 0.00000000000}, 1160 { 0.27062259632, 1.32999459377, 38.13303563780}, 1161 { 0.01691764014, 3.25186135653, 36.64856292950}, 1162 { 0.00807830553, 5.18592878704, 1.48447270830}, 1163 { 0.00537760510, 4.52113935896, 35.16409022120}, 1164 { 0.00495725141, 1.57105641650, 491.55792945680}, 1165 { 0.00274571975, 1.84552258866, 175.16605980020}, 1166 { 0.00135134092, 3.37220609835, 39.61750834610}, 1167 { 0.00121801746, 5.79754470298, 76.26607127560}, 1168 { 0.00100896068, 0.37702724930, 73.29712585900}, 1169 { 0.00069791331, 3.79616637768, 2.96894541660}, 1170 { 0.00046687836, 5.74938034313, 33.67961751290}, 1171 { 0.00024594531, 0.50801745878, 109.94568878850}, 1172 { 0.00016939478, 1.59422512526, 71.81265315070}, 1173 { 0.00014229808, 1.07785898723, 74.78159856730}, 1174 { 0.00012012320, 1.92059384991, 1021.24889455140}, 1175 { 0.00008394349, 0.67818233586, 146.59425171800}, 1176 { 0.00007571796, 1.07149207335, 388.46515523820}, 1177 { 0.00005720872, 2.59061733345, 4.45341812490}, 1178 { 0.00004840210, 1.90681013048, 41.10198105440}, 1179 { 0.00004483493, 2.90573464537, 529.69096509460}, 1180 { 0.00004269595, 3.41333526870, 453.42489381900}, 1181 { 0.00004353588, 0.67984856103, 32.19514480460}, 1182 { 0.00004420549, 1.74990681127, 108.46121608020}, 1183 { 0.00002879755, 1.98627174527, 137.03302416240}, 1184 { 0.00002635535, 3.09755951044, 213.29909543800}, 1185 { 0.00003381113, 0.84810966225, 183.24281464750}, 1186 { 0.00002877511, 3.67417203197, 350.33211960040}, 1187 { 0.00002306505, 2.80964587883, 70.32818044240}, 1188 { 0.00002529939, 5.79822254729, 490.07345674850}, 1189 { 0.00002522868, 0.48612122962, 493.04240216510}, 1190 { 0.00002085926, 0.61853857468, 33.94024994380}, 1191 { 0.00001976522, 5.11703044560, 168.05251279940}, 1192 { 0.00001904055, 1.72165893329, 182.27960680100}, 1193 { 0.00001653525, 1.92781987560, 145.10977900970}, 1194 { 0.00001434507, 1.69985856533, 484.44438245600}, 1195 { 0.00001403029, 4.58914203187, 498.67147645760}, 1196 { 0.00001499989, 1.01619882251, 219.89137757700}, 1197 { 0.00001397976, 0.76199761055, 176.65053250850}, 1198 { 0.00001402764, 6.07659120736, 173.68158709190}, 1199 { 0.00001128278, 5.96666460978, 9.56122755560}, 1200 { 0.00001228058, 1.59915900158, 77.75054398390}, 1201 { 0.00000835562, 3.97050539397, 114.39910691340}, 1202 { 0.00000811407, 3.00264146159, 46.20979048510}, 1203 { 0.00000731543, 2.10445780662, 181.75834193920}, 1204 { 0.00000615618, 2.97867866529, 106.97674337190}, 1205 { 0.00000703453, 1.18748208693, 256.53994050650}, 1206 { 0.00000501955, 1.38654746863, 5.93789083320}, 1207 { 0.00000530475, 4.24112162150, 111.43016149680}, 1208 { 0.00000437096, 2.27029212923, 1550.93985964600}, 1209 { 0.00000399906, 1.25612321821, 8.07675484730}, 1210 { 0.00000420992, 1.89248234590, 30.71067209630}, 1211 { 0.00000382461, 3.29964092733, 983.11585891360}, 1212 { 0.00000422891, 5.53099620330, 525.49817940060}, 1213 { 0.00000355064, 2.27873080286, 218.40690486870}, 1214 { 0.00000281092, 4.54185193503, 44.72531777680}, 1215 { 0.00000314499, 3.95932948594, 381.35160823740}, 1216 { 0.00000279604, 1.54525386438, 98.89998852460}, 1217 { 0.00000268088, 5.13448119540, 112.91463420510}, 1218 { 0.00000333260, 5.75014889084, 39.09624348430}, 1219 { 0.00000291773, 4.02405440052, 68.84370773410}, 1220 { 0.00000321430, 1.50624339061, 454.90936652730}, 1221 { 0.00000309200, 2.85451259377, 72.07328558160}, 1222 { 0.00000345541, 1.35801933629, 293.18850343600}, 1223 { 0.00000307360, 0.31939966593, 601.76425067620}, 1224 { 0.00000251026, 3.54039557458, 312.19908396260}, 1225 { 0.00000248151, 3.41078778961, 37.61177077600}, 1226 { 0.00000306000, 2.72475094464, 6244.94281435360}, 1227 { 0.00000293530, 4.89079714624, 528.20649238630}, 1228 { 0.00000234148, 0.59107513684, 42.58645376270}, 1229 { 0.00000239159, 3.15940174394, 143.62530630140}, 1230 { 0.00000214523, 3.62480267276, 278.25883401880}, 1231 { 0.00000246198, 1.01506302015, 141.22580985640}, 1232 { 0.00000174151, 5.54934515763, 567.82400073240}, 1233 { 0.00000163736, 2.09772553888, 2.44768055480}, 1234 { 0.00000162895, 2.48942845886, 4.19278569400}, 1235 { 0.00000193252, 1.58538835107, 138.51749687070}, 1236 { 0.00000155321, 3.28425560727, 31.01948863700}, 1237 { 0.00000182280, 2.45335941387, 255.05546779820}, 1238 { 0.00000177846, 4.14773474853, 10175.15251057320}, 1239 { 0.00000174672, 1.53072472355, 329.83706636550}, 1240 { 0.00000137774, 3.34926113123, 0.96320784650}, 1241 { 0.00000160922, 5.16388154007, 211.81462272970}, 1242 { 0.00000113312, 4.96838153028, 148.07872442630}, 1243 { 0.00000129107, 3.25539370530, 24.11838995730}, 1244 { 0.00000122785, 5.39724696402, 62.25142559510}, 1245 { 0.00000107361, 3.26459113010, 1059.38193018920}, 1246 { 0.00000119951, 3.07428550584, 184.72728735580}, 1247 { 0.00000099006, 1.92575084098, 28.57180808220}, 1248 { 0.00000097710, 2.59473517954, 6.59228213900}, 1249 { 0.00000123604, 3.11899453253, 221.37585028530}, 1250 { 0.00000124693, 2.97042402154, 251.43213107580}, 1251 { 0.00000114252, 0.25039919123, 594.65070367540}, 1252 { 0.00000110984, 3.34269023552, 180.27386923090}, 1253 { 0.00000120812, 1.92944484022, 25.60286266560}, 1254 { 0.00000104667, 0.94883561775, 395.57870223900}, 1255 { 0.00000109779, 5.43147613574, 494.52687487340}, 1256 { 0.00000096919, 0.86184760695, 1014.13534755060}, 1257 { 0.00000098685, 0.89578101892, 488.58898404020}, 1258 { 0.00000088965, 4.78114888597, 144.14657116320}, 1259 { 0.00000107888, 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0.00000003336, 2.41413678320, 67.88049988760}, 1587 { 0.00000003636, 5.31067380234, 141.48644228730}, 1588 { 0.00000003345, 3.94392179077, 20389.92252949249}, 1589 { 0.00000004639, 6.24618220184, 821.39499582230}, 1590 { 0.00000003934, 0.26992234338, 1655.51710657290}, 1591 { 0.00000004431, 2.48647437800, 549.72844394250}, 1592 { 0.00000004168, 5.39993754642, 236.50246165860}, 1593 { 0.00000003316, 0.82217489269, 305.08553696180}, 1594 { 0.00000004524, 5.52532381522, 487.41332787260}, 1595 { 0.00000004020, 0.07393243012, 52136.18877480229}, 1596 { 0.00000003275, 0.98533127454, 1344.75431120880}, 1597 { 0.00000003213, 2.97105590703, 20386.95358407589}, 1598 { 0.00000004065, 5.41027187466, 332.80601178210}, 1599 { 0.00000003183, 2.98783802386, 499.63468430410}, 1600 { 0.00000004428, 0.06728869735, 491.29729702590}, 1601 { 0.00000004063, 0.06192838570, 6168.67674307800}, 1602 { 0.00000003530, 3.13717614844, 347.36317418380}, 1603 { 0.00000003917, 1.33801660176, 1054.92851206430}, 1604 { 0.00000003917, 5.67905809516, 1131.19458333990}, 1605 { 0.00000003833, 0.87811168267, 52.69019803950}, 1606 { 0.00000004020, 2.69209723289, 1439.46151403940}, 1607 { 0.00000003424, 1.03296737020, 481.47543703940}, 1608 { 0.00000003159, 1.04693380342, 703.37255218650}, 1609 { 0.00000003364, 2.18084331708, 32.50396134530}, 1610 { 0.00000003258, 4.65131076542, 696.25900518570}, 1611 { 0.00000003427, 0.27003884843, 2389.90914739640}, 1612 { 0.00000004349, 0.07531141761, 20426.57109242200}, 1613 { 0.00000003383, 5.61838426864, 699.22795060230}, 1614 { 0.00000003305, 1.41666877290, 562.14674233010}, 1615 { 0.00000003297, 5.46677712589, 1442.21801113490}, 1616 { 0.00000003277, 2.71815883511, 980.14691349700}, 1617 { 0.00000003171, 4.49510885866, 1439.24906571830}, 1618 { 0.00000004175, 4.24327636055, 381.61224066830}, 1619 { 0.00000003155, 3.40776789576, 39.72938293070}, 1620 { 0.00000004112, 0.90309319273, 1087.69310584050}, 1621 { 0.00000003050, 5.01538526352, 8.90683624980}, 1622 { 0.00000003725, 1.52448613082, 1058.10990580200}, 1623 { 0.00000003650, 3.59798316565, 192.80404220310}, 1624 { 0.00000003837, 1.48519528444, 10098.88643929760}, 1625 { 0.00000002959, 1.23012121982, 2500.11546861580}, 1626 { 0.00000003330, 6.12470287875, 10172.18356515660}, 1627 { 0.00000003361, 4.31837298696, 492.07919431860}, 1628 { 0.00000003294, 2.52694043155, 1692.16566950240}, 1629 { 0.00000003013, 0.92957285991, 1515.77576942480}, 1630 { 0.00000003403, 1.10932483984, 987.30864460760}, 1631 { 0.00000003312, 0.67710158807, 977.48678462110}, 1632 { 0.00000003030, 1.77996261146, 156489.28581380738}, 1633 { 0.00000003605, 4.89955108152, 1043.88281180040}, 1634 { 0.00000003276, 4.26765608367, 1189.30140735080}, 1635 { 0.00000002966, 5.29808076929, 31.98269648350}, 1636 { 0.00000002994, 2.58599359402, 178.08682110700}, 1637 { 0.00000003905, 1.87748122254, 1158.28191871380}, 1638 { 0.00000003110, 3.09203517638, 235.93301268700}, 1639 { 0.00000003313, 2.70308129756, 604.47256366190}, 1640 { 0.00000003276, 1.24440460327, 874.65464283340}, 1641 { 0.00000003276, 5.58544609667, 950.92071410900}, 1642 { 0.00000002863, 5.30797202030, 449.23210812500}, 1643 { 0.00000003746, 0.33859914037, 913.96333463880}, 1644 { 0.00000003552, 3.07180917863, 240.38643081190}, 1645 { 0.00000002885, 6.01129889094, 1097.51496582700}, 1646 { 0.00000003643, 5.11977873355, 452.20105354160}, 1647 { 0.00000002761, 4.05534163585, 6283.07584999140}, 1648 { 0.00000003226, 4.76711354367, 6241.97386893700}, 1649 { 0.00000002988, 5.62906786113, 140.65636088480}, 1650 { 0.00000003748, 4.84009347869, 341.73409989130}, 1651 { 0.00000003847, 2.40982343643, 26086.41866886590}, 1652 { 0.00000002702, 3.72061244391, 946.46729598410}, 1653 { 0.00000002846, 4.90997675486, 488.84961647110}, 1654 { 0.00000002723, 4.37517047024, 15.19030184810}, 1655 { 0.00000002847, 5.22951186538, 661.04673085470}, 1656 { 0.00000002680, 4.19379121323, 13.18456427800}, 1657 { 0.00000003269, 0.43119778520, 496.97455542820}, 1658 { 0.00000002878, 5.00361557843, 252.08652238160}, 1659 { 0.00000003489, 3.82213189319, 625.99451521810}, 1660 { 0.00000003742, 2.03372773652, 8.59801970910}, 1661 { 0.00000003341, 2.91360557418, 304.23420369990}, 1662 { 0.00000002915, 2.63627684599, 6681.22485339960}, 1663 { 0.00000002915, 1.43773625890, 6604.95878212400}, 1664 { 0.00000002629, 2.09824407450, 2713.41456405380}, 1665 { 0.00000002901, 3.33924800230, 515.46387109300}, 1666 { 0.00000002803, 1.23584865903, 6643.09181776180}, 1667 { 0.00000002621, 3.27309087943, 483.48117460950}, 1668 { 0.00000003045, 3.33515866438, 921.07688163960}, 1669 { 0.00000002699, 5.42597794650, 925.26966733360}, 1670 { 0.00000002808, 5.77870303237, 1024.21783996800}, 1671 { 0.00000003028, 3.75501312393, 511.59540830470}, 1672 { 0.00000003090, 2.49453093252, 14.66903698630}, 1673 { 0.00000002630, 0.62190616803, 990.22940591440}, 1674 { 0.00000002913, 4.83296711477, 515.93695184500}, 1675 { 0.00000003139, 5.99134254710, 570.74476203920}, 1676 { 0.00000002752, 3.08268180744, 853.19638175200}, 1677 { 0.00000002643, 1.99093797444, 470.21728845440}, 1678 { 0.00000002763, 4.01095972177, 448.97147569410}, 1679 { 0.00000003426, 4.73955481174, 1050.99635880120}, 1680 { 0.00000002613, 5.04769883328, 175.21424391000}, 1681 { 0.00000003080, 1.08651068269, 260.99335863140}, 1682 { 0.00000002605, 1.78290020063, 175.11787569040}, 1683 { 0.00000002573, 2.01267457287, 1514.29129671650}, 1684 { 0.00000002633, 1.63639954931, 170.71264167530}, 1685 { 0.00000003025, 5.51446170055, 369.45457471160}, 1686 { 0.00000002490, 0.15301603966, 78187.44335344699}, 1687 { 0.00000002589, 0.79196093766, 1228.91891569690}, 1688 { 0.00000003493, 3.88006738730, 495.70253104100}, 1689 { 0.00000003143, 5.33170343283, 1542.34183993690}, 1690 { 0.00000002816, 3.74486418363, 2.00573757010}, 1691 { 0.00000003062, 4.88018345098, 227.96813242430}, 1692 { 0.00000002971, 1.27359129352, 530.91480537200}, 1693 { 0.00000003329, 2.71693827722, 171.02145821600}, 1694 { 0.00000002648, 0.60304386920, 70.58881287330}, 1695 { 0.00000003061, 5.05044834864, 378.64329525170}, 1696 { 0.00000002738, 4.75405645015, 151.26011816400}, 1697 { 0.00000002727, 5.89140709596, 213.95348674380}, 1698 { 0.00000003411, 2.24137878065, 734.45573129830}, 1699 { 0.00000002623, 0.54340876464, 1586.10394986720}, 1700 { 0.00000003169, 5.84871429991, 1049.51188609290}, 1701 { 0.00000002430, 2.34597429597, 450.45594840240}, 1702 { 0.00000002907, 5.58085498481, 597.57146498220}, 1703 { 0.00000003060, 5.27973140962, 523.75307426140}, 1704 { 0.00000003300, 0.94221473935, 58.17051448570}, 1705 { 0.00000002606, 4.76989264753, 391.43410065480}, 1706 { 0.00000003175, 2.32600231924, 339.28641933650}, 1707 { 0.00000003112, 4.24784219323, 1615.89959822680}, 1708 { 0.00000003340, 1.36950315448, 384.27236954420}, 1709 { 0.00000003301, 5.83023910521, 51.77517430280}, 1710 { 0.00000002415, 0.69446923670, 489.55219188670}, 1711 { 0.00000003310, 5.55595218696, 674.80074410430}, 1712 { 0.00000002736, 5.74320864965, 1167.84314626940}, 1713 { 0.00000002956, 5.22962139507, 199.85389872910}, 1714 { 0.00000003262, 0.01501002027, 1545.31078535350}, 1715 { 0.00000002506, 4.84043333582, 943.49835056750}, 1716 { 0.00000003240, 2.46676155925, 1016.79547642650}, 1717 { 0.00000003148, 4.62079057738, 233.53351624200}, 1718 { 0.00000002327, 4.10421417326, 70.11573212130}, 1719 { 0.00000002371, 4.79963943424, 271.14528701800}, 1720 { 0.00000003006, 3.66877796077, 1476.15826107870}, 1721 { 0.00000003033, 0.67157488690, 292.48592802040}, 1722 { 0.00000002344, 1.83547256266, 492.30868898220}, 1723 { 0.00000003117, 2.76268894894, 1473.18931566210}, 1724 { 0.00000002323, 2.88799980853, 533.62311835770}, 1725 { 0.00000002340, 4.44862573253, 490.80716993140}, 1726 { 0.00000002919, 4.75889516601, 1511.32235129990}, 1727 { 0.00000002493, 6.10541658597, 1225.94997028030}, 1728 { 0.00000002691, 3.20679023131, 463.50738623640}, 1729 { 0.00000002291, 5.81535163158, 246.97871295090}, 1730 { 0.00000002319, 6.05514281470, 525.75881183150}, 1731 { 0.00000003112, 0.89712836583, 314.90739694830}, 1732 { 0.00000003085, 5.84605938859, 1192.22216865760}, 1733 { 0.00000002897, 0.54747024257, 20350.30502114640}, 1734 { 0.00000002469, 3.75373347656, 494.00561001160}, 1735 { 0.00000003067, 2.22210324061, 248.46318565920}, 1736 { 0.00000002252, 0.87483094907, 61.02758531770}, 1737 { 0.00000002392, 3.62837597194, 439.19779981740}, 1738 { 0.00000002817, 2.73562306571, 16.67477455640}, 1739 { 0.00000002379, 6.17876088396, 467.65198782060}, 1740 { 0.00000002607, 4.82656583469, 384.58118608490}, 1741 { 0.00000002718, 1.01823841209, 215.95922431390}, 1742 { 0.00000002998, 1.09755715300, 1964.74724511890}, 1743 { 0.00000002883, 2.97813866507, 383.09671337660}, 1744 { 0.00000002529, 5.81554218602, 1587.58842257550}, 1745 { 0.00000002203, 2.23336308907, 481.26298871830}, 1746 { 0.00000002260, 2.35404913660, 659.61044225620}, 1747 { 0.00000002173, 4.95048919972, 76.78733613740}, 1748 { 0.00000002491, 1.70236357070, 445.34813897170}, 1749 { 0.00000002164, 4.91477263756, 249.94765836750}, 1750 { 0.00000002289, 1.18497528002, 1552.42433235430}, 1751 { 0.00000002975, 0.48272389481, 1052.48083150950}, 1752 { 0.00000002339, 0.75318738767, 478.81530816350}, 1753 { 0.00000003011, 0.16359500858, 54.28654533240}, 1754 { 0.00000003011, 1.03494557852, 21.97952594320}, 1755 ]; 1756 1757 1758 static const ln_vsop[RADIUS_R1] neptune_radius_r1 = [ 1759 { 0.00236338618, 0.70497954792, 38.13303563780}, 1760 { 0.00013220034, 3.32014387930, 1.48447270830}, 1761 { 0.00008621779, 6.21626927537, 35.16409022120}, 1762 { 0.00002701587, 1.88124996531, 39.61750834610}, 1763 { 0.00002153060, 5.16877044933, 76.26607127560}, 1764 { 0.00002154170, 2.09430333390, 2.96894541660}, 1765 { 0.00001463314, 1.18410155089, 33.67961751290}, 1766 { 0.00001603164, 0.00000000000, 0.00000000000}, 1767 { 0.00001135663, 3.91905853528, 36.64856292950}, 1768 { 0.00000897650, 5.24122933533, 388.46515523820}, 1769 { 0.00000789359, 0.53295000718, 168.05251279940}, 1770 { 0.00000760030, 0.02051033644, 182.27960680100}, 1771 { 0.00000607183, 1.07706500350, 1021.24889455140}, 1772 { 0.00000571622, 3.40060785432, 484.44438245600}, 1773 { 0.00000560790, 2.88685815667, 498.67147645760}, 1774 { 0.00000489973, 3.46822250901, 137.03302416240}, 1775 { 0.00000264197, 0.86149368602, 4.45341812490}, 1776 { 0.00000270304, 3.27489604455, 71.81265315070}, 1777 { 0.00000203512, 2.41823214253, 32.19514480460}, 1778 { 0.00000155180, 0.36515053081, 41.10198105440}, 1779 { 0.00000132766, 3.60157672619, 9.56122755560}, 1780 { 0.00000093942, 0.66658493388, 46.20979048510}, 1781 { 0.00000083697, 3.26305475932, 98.89998852460}, 1782 { 0.00000072205, 4.47717435693, 601.76425067620}, 1783 { 0.00000068777, 1.46946530374, 74.78159856730}, 1784 { 0.00000086953, 5.77228651853, 381.35160823740}, 1785 { 0.00000068138, 4.52508272214, 70.32818044240}, 1786 { 0.00000065250, 3.85934463923, 73.29712585900}, 1787 { 0.00000068370, 3.39513994400, 108.46121608020}, 1788 { 0.00000053375, 5.43650770516, 395.57870223900}, 1789 { 0.00000043910, 3.61564394950, 2.44768055480}, 1790 { 0.00000041546, 4.74846317654, 8.07675484730}, 1791 { 0.00000048724, 1.98932271543, 175.16605980020}, 1792 { 0.00000041744, 4.94257598763, 31.01948863700}, 1793 { 0.00000044102, 1.41744904844, 1550.93985964600}, 1794 { 0.00000041170, 1.41999405024, 490.07345674850}, 1795 { 0.00000041099, 4.86312668872, 493.04240216510}, 1796 { 0.00000036267, 5.30764043577, 312.19908396260}, 1797 { 0.00000036321, 0.38296932117, 77.75054398390}, 1798 { 0.00000040928, 2.27526815371, 529.69096509460}, 1799 { 0.00000032141, 5.91285874340, 5.93789083320}, 1800 { 0.00000031197, 2.70549944134, 1014.13534755060}, 1801 { 0.00000032730, 5.22147683115, 41.05379694460}, 1802 { 0.00000036035, 4.88125211442, 491.55792945680}, 1803 { 0.00000029991, 3.30769367603, 1028.36244155220}, 1804 { 0.00000029424, 3.63261469286, 30.71067209630}, 1805 { 0.00000027478, 1.76175718511, 44.72531777680}, 1806 { 0.00000027676, 4.54801642564, 7.11354700080}, 1807 { 0.00000027475, 0.97228280623, 33.94024994380}, 1808 { 0.00000024944, 3.10083196356, 144.14657116320}, 1809 { 0.00000025956, 2.99728316628, 60.76695288680}, 1810 { 0.00000021401, 0.68033795793, 251.43213107580}, 1811 { 0.00000021369, 4.71270048898, 278.25883401880}, 1812 { 0.00000023818, 5.11019967861, 176.65053250850}, 1813 { 0.00000024486, 3.56527493795, 145.10977900970}, 1814 { 0.00000023379, 1.65568321349, 173.68158709190}, 1815 { 0.00000027004, 4.13984627053, 453.42489381900}, 1816 { 0.00000020725, 0.89222104366, 4.19278569400}, 1817 { 0.00000019795, 5.61602288526, 24.11838995730}, 1818 { 0.00000023863, 0.99001670827, 213.29909543800}, 1819 { 0.00000018408, 1.98233778039, 72.07328558160}, 1820 { 0.00000018266, 6.17260374467, 189.39315380180}, 1821 { 0.00000018960, 4.66648698212, 106.97674337190}, 1822 { 0.00000017705, 1.59531409128, 62.25142559510}, 1823 { 0.00000015648, 3.64570115017, 0.52126486180}, 1824 { 0.00000016368, 1.70913999198, 357.44566660120}, 1825 { 0.00000020132, 3.29521961100, 114.39910691340}, 1826 { 0.00000015425, 4.38812302799, 25.60286266560}, 1827 { 0.00000018932, 2.21630439663, 343.21857259960}, 1828 { 0.00000014031, 0.55320290294, 129.91947716160}, 1829 { 0.00000014328, 5.84024214567, 68.84370773410}, 1830 { 0.00000015466, 4.20417846946, 567.82400073240}, 1831 { 0.00000012746, 3.52815836608, 477.33083545520}, 1832 { 0.00000011724, 5.57647263460, 31.23193695810}, 1833 { 0.00000011533, 0.89138506506, 594.65070367540}, 1834 { 0.00000010508, 4.35552732772, 32.71640966640}, 1835 { 0.00000010777, 5.30551078064, 2.92076130680}, 1836 { 0.00000010826, 5.21826226871, 26.82670294300}, 1837 { 0.00000010084, 1.98102236804, 40.58071619260}, 1838 { 0.00000011686, 5.14865195162, 42.58645376270}, 1839 { 0.00000009207, 0.50092534158, 64.95973858080}, 1840 { 0.00000009084, 5.86031317808, 6.59228213900}, 1841 { 0.00000009231, 0.68180977710, 160.93896579860}, 1842 { 0.00000010114, 4.51164596686, 28.57180808220}, 1843 { 0.00000008350, 2.82449631025, 43.24084506850}, 1844 { 0.00000009592, 3.76289614986, 181.75834193920}, 1845 { 0.00000009969, 1.45995045237, 47.69426319340}, 1846 { 0.00000007946, 2.40126769187, 11.04570026390}, 1847 { 0.00000007629, 1.57125741752, 135.54855145410}, 1848 { 0.00000007645, 4.07503370297, 389.94962794650}, 1849 { 0.00000008004, 2.78082277326, 505.78502345840}, 1850 { 0.00000009450, 0.27241260289, 426.59819087600}, 1851 { 0.00000007192, 0.82841201068, 911.04257333200}, 1852 { 0.00000006981, 1.86764180939, 206.18554843720}, 1853 { 0.00000007897, 1.86554246391, 38.65430049960}, 1854 { 0.00000006766, 0.85749934506, 82.85835341460}, 1855 { 0.00000006357, 0.90093123522, 487.36514376280}, 1856 { 0.00000006720, 1.33936767947, 220.41264243880}, 1857 { 0.00000006344, 4.04005545219, 12.53017297220}, 1858 { 0.00000007695, 5.13312500855, 23.90594163620}, 1859 { 0.00000007059, 5.99832463478, 639.89728631400}, 1860 { 0.00000008302, 3.85960902325, 37.61177077600}, 1861 { 0.00000006412, 2.41743840961, 1059.38193018920}, 1862 { 0.00000006751, 1.96860894470, 45.24658263860}, 1863 { 0.00000006301, 4.04821192714, 35.68535508300}, 1864 { 0.00000005517, 3.81325790890, 815.06334611420}, 1865 { 0.00000005562, 0.41619602113, 563.63121503840}, 1866 { 0.00000006115, 2.10934525342, 697.74347789400}, 1867 { 0.00000006216, 4.79301628209, 143.62530630140}, 1868 { 0.00000005346, 3.13071964722, 386.98068252990}, 1869 { 0.00000006866, 0.62766858525, 350.33211960040}, 1870 { 0.00000005245, 6.06245070403, 171.23390653710}, 1871 { 0.00000005129, 0.79394555531, 179.09821306330}, 1872 { 0.00000005099, 2.96677243218, 27.08733537390}, 1873 { 0.00000005169, 6.18160132142, 63.73589830340}, 1874 { 0.00000005168, 4.73765536370, 522.57741809380}, 1875 { 0.00000005006, 2.37645082899, 77.22927912210}, 1876 { 0.00000005005, 4.70632786719, 460.53844081980}, 1877 { 0.00000005167, 5.20246890403, 446.31134681820}, 1878 { 0.00000005119, 2.17338058771, 494.73932319450}, 1879 { 0.00000005025, 4.21265519443, 536.80451209540}, 1880 { 0.00000005125, 5.38138329172, 179.31066138440}, 1881 { 0.00000004918, 4.09031782903, 488.37653571910}, 1882 { 0.00000004711, 5.56542374115, 42.32582133180}, 1883 { 0.00000004459, 1.30784829830, 69.36497259590}, 1884 { 0.00000005485, 3.88088464259, 218.40690486870}, 1885 { 0.00000004419, 4.22946309121, 5.41662597140}, 1886 { 0.00000004559, 4.92224120952, 285.37238101960}, 1887 { 0.00000004687, 2.21401153210, 1029.84691426050}, 1888 { 0.00000004644, 1.87902594973, 1433.61999142580}, 1889 { 0.00000005639, 3.05597013393, 983.11585891360}, 1890 { 0.00000004317, 1.37172516583, 0.96320784650}, 1891 { 0.00000004385, 2.35709104539, 84.34282612290}, 1892 { 0.00000004430, 3.37768805833, 377.41945497430}, 1893 { 0.00000004681, 2.14249250241, 97.41551581630}, 1894 { 0.00000005845, 4.62301099402, 1024.21783996800}, 1895 { 0.00000005769, 5.71579471638, 351.81659230870}, 1896 { 0.00000004454, 5.20355311714, 274.06604832480}, 1897 { 0.00000004398, 5.65312496227, 3.93215326310}, 1898 { 0.00000004287, 0.66340266603, 1012.65087484230}, 1899 { 0.00000004086, 0.14551174994, 385.28376150050}, 1900 { 0.00000004029, 5.98399329775, 178.34745353790}, 1901 { 0.00000004276, 3.68205082970, 348.84764689210}, 1902 { 0.00000004012, 0.42559540783, 104313.47953065898}, 1903 { 0.00000004309, 3.04099090488, 100.38446123290}, 1904 { 0.00000003957, 0.86846121055, 171.98466606250}, 1905 { 0.00000003961, 3.04953080906, 1017.31674128830}, 1906 { 0.00000005559, 0.77714806229, 1447.84708542740}, 1907 { 0.00000005071, 2.61075526868, 1536.71276564440}, 1908 { 0.00000004225, 2.45845211305, 496.01134758170}, 1909 { 0.00000004052, 5.00014006312, 391.64654897590}, 1910 { 0.00000003763, 4.29449373755, 313.68355667090}, 1911 { 0.00000004038, 2.82857942788, 1661.14618086540}, 1912 { 0.00000004067, 5.73169928960, 169.53698550770}, 1913 { 0.00000004826, 3.75589264710, 379.86713552910}, 1914 { 0.00000004296, 5.90228488768, 142.14083359310}, 1915 { 0.00000003721, 1.20062375429, 1026.87796884390}, 1916 { 0.00000003929, 3.94354033755, 39.09624348430}, 1917 { 0.00000004728, 4.73892221737, 382.83608094570}, 1918 { 0.00000003489, 4.28865448963, 1025.18104781450}, 1919 { 0.00000003714, 5.05021268365, 292.48592802040}, 1920 { 0.00000003988, 2.82832650224, 134.11226285560}, 1921 { 0.00000003471, 4.98900354066, 69.15252427480}, 1922 { 0.00000003528, 2.80271543681, 14.01464568050}, 1923 { 0.00000003745, 4.24728135115, 180.79513409270}, 1924 { 0.00000003836, 1.02685786071, 1018.27994913480}, 1925 { 0.00000003941, 5.21895739331, 183.76407950930}, 1926 { 0.00000003780, 6.03723468132, 1022.73336725970}, 1927 { 0.00000003647, 3.98130320367, 608.87779767700}, 1928 { 0.00000003456, 5.54052355058, 846.08283475120}, 1929 { 0.00000004047, 3.71041480907, 1018.06750081370}, 1930 { 0.00000003865, 4.76002199091, 166.56804009110}, 1931 { 0.00000003629, 3.29053233846, 447.79581952650}, 1932 { 0.00000003337, 0.47308019225, 79.18683258240}, 1933 { 0.00000003304, 1.49289552229, 1505.69327700740}, 1934 { 0.00000003615, 3.68096122231, 494.52687487340}, 1935 { 0.00000003209, 0.29676849415, 22.63391724900}, 1936 { 0.00000003280, 3.62226152032, 531.17543780290}, 1937 { 0.00000003337, 2.72502876320, 481.47543703940}, 1938 { 0.00000003187, 0.08677634706, 399.51085550210}, 1939 { 0.00000003389, 1.79454271219, 1519.92037100900}, 1940 { 0.00000003154, 3.69356460843, 470.21728845440}, 1941 { 0.00000003706, 2.79048710497, 462.02291352810}, 1942 { 0.00000003682, 2.45952306167, 106.01353552540}, 1943 { 0.00000003136, 4.38015969606, 385.49620982160}, 1944 { 0.00000004279, 4.35633788890, 1066.49547719000}, 1945 { 0.00000003392, 0.48037804731, 521.09294538550}, 1946 { 0.00000003465, 0.93152295589, 2183.72359895920}, 1947 { 0.00000003735, 0.98809808606, 487.41332787260}, 1948 { 0.00000003285, 4.36830516894, 397.06317494730}, 1949 { 0.00000003998, 3.38773325131, 6283.07584999140}, 1950 { 0.00000002998, 2.61728063127, 487.62577619370}, 1951 { 0.00000003295, 2.53821501556, 4.66586644600}, 1952 { 0.00000002964, 3.66274645375, 495.49008271990}, 1953 { 0.00000003901, 1.65463736406, 210.33015002140}, 1954 { 0.00000002950, 1.99904237956, 872.90953769420}, 1955 { 0.00000002936, 3.39722203959, 423.62924545940}, 1956 { 0.00000003121, 5.89456985534, 105.49227066360}, 1957 { 0.00000003904, 3.01022809543, 556.51766803760}, 1958 { 0.00000003801, 4.23636257679, 1052.26838318840}, 1959 { 0.00000002930, 6.15005257333, 164.12035953630}, 1960 { 0.00000003267, 4.19718045293, 518.38463239980}, 1961 { 0.00000003946, 2.88842759670, 151.26011816400}, 1962 { 0.00000002823, 0.60712626756, 214.78356814630}, 1963 { 0.00000002826, 2.91070227143, 391.43410065480}, 1964 { 0.00000003347, 6.09373507569, 6246.42728706190}, 1965 { 0.00000002792, 0.55248135990, 5.10780943070}, 1966 { 0.00000003470, 5.06081504795, 79.23501669220}, 1967 { 0.00000003010, 0.24656411754, 91.78644152380}, 1968 { 0.00000002861, 6.17465663902, 422.40540518200}, 1969 { 0.00000002989, 2.31620917965, 485.92885516430}, 1970 { 0.00000003088, 2.29186342974, 110.20632121940}, 1971 { 0.00000003030, 3.69866149100, 532.61172640140}, 1972 { 0.00000003148, 6.25285869266, 535.32003938710}, 1973 { 0.00000003020, 2.36422658177, 290.21955801940}, 1974 { 0.00000002730, 3.34082732623, 394.09422953070}, 1975 { 0.00000003170, 1.23078934548, 10176.63698328150}, 1976 { 0.00000002673, 6.03366372927, 196.50670080260}, 1977 { 0.00000002635, 3.39631667641, 148.07872442630}, 1978 { 0.00000002838, 2.85241236576, 138.51749687070}, 1979 { 0.00000002630, 0.46957619348, 1970.42450352120}, 1980 { 0.00000002599, 4.86022081674, 439.19779981740}, 1981 { 0.00000002878, 2.61946597178, 488.58898404020}, 1982 { 0.00000002720, 1.71836225398, 364.55921360200}, 1983 { 0.00000003053, 2.49346960035, 6243.45834164530}, 1984 { 0.00000003332, 3.25113612987, 30.05628079050}, 1985 { 0.00000003062, 6.23776299874, 419.48464387520}, 1986 { 0.00000002786, 0.83078219939, 497.18700374930}, 1987 { 0.00000002834, 3.52926079424, 457.87831194390}, 1988 { 0.00000002932, 1.80245810977, 500.15594916590}, 1989 { 0.00000002613, 0.97430899059, 244.31858407500}, 1990 { 0.00000003030, 5.10152500393, 367.97010200330}, 1991 { 0.00000002956, 5.76230870725, 986.08480433020}, 1992 { 0.00000002658, 0.88044044504, 109.94568878850}, 1993 { 0.00000003116, 2.20042242739, 495.70253104100}, 1994 { 0.00000002554, 0.65945973992, 67.35923502580}, 1995 { 0.00000002901, 3.91891656185, 10173.66803786490}, 1996 { 0.00000002840, 1.34453183591, 482.95990974770}, 1997 { 0.00000002458, 1.20012815574, 489.11024890200}, 1998 { 0.00000002556, 3.86921927085, 487.10451133190}, 1999 { 0.00000002614, 1.51881085312, 463.50738623640}, 2000 { 0.00000002386, 4.58400538443, 615.99134467780}, 2001 { 0.00000002438, 5.19827220476, 501.11915701240}, 2002 { 0.00000002537, 1.64802783144, 519.60847267720}, 2003 { 0.00000002444, 3.87859489652, 185.24855221760}, 2004 { 0.00000002262, 5.79112288939, 605.95703637020}, 2005 { 0.00000002795, 4.04265752580, 255.05546779820}, 2006 { 0.00000002895, 3.26202698812, 1646.91908686380}, 2007 { 0.00000002324, 3.99503920129, 481.26298871830}, 2008 { 0.00000002962, 1.74151265966, 2080.63082474060}, 2009 { 0.00000002621, 1.74442251671, 35.21227433100}, 2010 ]; 2011 2012 2013 static const ln_vsop[RADIUS_R2] neptune_radius_r2 = [ 2014 { 0.00004247776, 5.89911844921, 38.13303563780}, 2015 { 0.00000217404, 0.34589546713, 1.48447270830}, 2016 { 0.00000163025, 2.23872947130, 168.05251279940}, 2017 { 0.00000156285, 4.59414467342, 182.27960680100}, 2018 { 0.00000117940, 5.10295026024, 484.44438245600}, 2019 { 0.00000112429, 1.19000583596, 498.67147645760}, 2020 { 0.00000127836, 2.84821806298, 35.16409022120}, 2021 { 0.00000099311, 3.41592669789, 175.16605980020}, 2022 { 0.00000064814, 3.46214064840, 388.46515523820}, 2023 { 0.00000076780, 0.01680343065, 491.55792945680}, 2024 { 0.00000049511, 4.06995993334, 76.26607127560}, 2025 { 0.00000039330, 6.09521855958, 1021.24889455140}, 2026 { 0.00000036451, 5.17129778081, 137.03302416240}, 2027 { 0.00000036709, 5.97476878862, 2.96894541660}, 2028 { 0.00000029037, 3.58135470306, 33.67961751290}, 2029 { 0.00000020862, 0.77341568423, 36.64856292950}, 2030 { 0.00000013886, 3.59248623971, 395.57870223900}, 2031 { 0.00000013001, 5.12870831936, 98.89998852460}, 2032 { 0.00000011379, 1.18060018898, 381.35160823740}, 2033 { 0.00000009132, 2.34787658568, 601.76425067620}, 2034 { 0.00000008527, 5.25134685897, 2.44768055480}, 2035 { 0.00000007608, 4.99805971093, 4.45341812490}, 2036 { 0.00000007417, 4.46775409796, 189.39315380180}, 2037 { 0.00000007225, 1.92287508629, 9.56122755560}, 2038 { 0.00000007289, 1.65519525780, 1028.36244155220}, 2039 { 0.00000008076, 5.84268048268, 220.41264243880}, 2040 { 0.00000009415, 0.00000000000, 0.00000000000}, 2041 { 0.00000006554, 0.69397520662, 144.14657116320}, 2042 { 0.00000005628, 5.23383764266, 46.20979048510}, 2043 { 0.00000005523, 4.59041448911, 1014.13534755060}, 2044 { 0.00000007254, 1.14445074833, 1059.38193018920}, 2045 { 0.00000005226, 0.02783946816, 74.78159856730}, 2046 { 0.00000005177, 5.23116646157, 477.33083545520}, 2047 { 0.00000005098, 3.50187769013, 39.61750834610}, 2048 { 0.00000005503, 3.49522319102, 183.76407950930}, 2049 { 0.00000005055, 0.19949888617, 166.56804009110}, 2050 { 0.00000004751, 1.18054948270, 169.53698550770}, 2051 { 0.00000004587, 2.13374192347, 41.10198105440}, 2052 { 0.00000006170, 6.15456871599, 71.81265315070}, 2053 { 0.00000004606, 3.91970908886, 587.53715667460}, 2054 { 0.00000004536, 2.84337336954, 7.11354700080}, 2055 { 0.00000004338, 0.51553847342, 446.31134681820}, 2056 { 0.00000003891, 0.26338839265, 1550.93985964600}, 2057 { 0.00000004465, 3.01487041336, 129.91947716160}, 2058 { 0.00000004162, 1.58187532018, 73.29712585900}, 2059 { 0.00000003727, 2.37977930658, 160.93896579860}, 2060 { 0.00000004830, 2.23553496822, 176.65053250850}, 2061 { 0.00000003842, 3.79387204230, 111.43016149680}, 2062 { 0.00000003296, 1.07748822909, 505.78502345840}, 2063 { 0.00000003966, 1.70648052846, 983.11585891360}, 2064 { 0.00000004008, 0.30663868827, 494.73932319450}, 2065 { 0.00000003974, 5.97351783840, 488.37653571910}, 2066 { 0.00000003925, 4.85736421123, 60.76695288680}, 2067 { 0.00000002966, 2.01608546009, 822.17689311500}, 2068 { 0.00000003972, 1.07780371834, 374.23806123660}, 2069 { 0.00000002848, 6.17799253802, 704.85702489480}, 2070 { 0.00000003527, 0.79317138165, 274.06604832480}, 2071 { 0.00000002773, 5.37132330836, 251.43213107580}, 2072 { 0.00000003113, 5.12622288666, 426.59819087600}, 2073 { 0.00000003344, 5.61433537548, 1124.34166877000}, 2074 { 0.00000003552, 5.22645982165, 350.33211960040}, 2075 { 0.00000002597, 0.67759426519, 312.19908396260}, 2076 { 0.00000002580, 3.56031931199, 567.82400073240}, 2077 { 0.00000002578, 1.45603792456, 1035.47598855300}, 2078 { 0.00000002541, 5.19427579702, 1227.43444298860}, 2079 { 0.00000002507, 1.31206832468, 386.98068252990}, 2080 { 0.00000002510, 4.12148891512, 171.23390653710}, 2081 { 0.00000002511, 2.71606957319, 179.09821306330}, 2082 { 0.00000002342, 0.96469916587, 1019.76442184310}, 2083 { 0.00000002500, 0.70282276030, 707.77778620160}, 2084 { 0.00000002480, 4.59623030219, 693.55069220000}, 2085 ]; 2086 2087 2088 static const ln_vsop[RADIUS_R3] neptune_radius_r3 = [ 2089 { 0.00000166556, 4.55393495836, 38.13303563780}, 2090 { 0.00000022380, 3.94830879358, 168.05251279940}, 2091 { 0.00000021348, 2.86296778794, 182.27960680100}, 2092 { 0.00000016233, 0.54226725872, 484.44438245600}, 2093 { 0.00000015623, 5.75702251906, 498.67147645760}, 2094 { 0.00000011412, 4.38291384655, 1.48447270830}, 2095 { 0.00000006448, 5.19003066847, 31.01948863700}, 2096 { 0.00000003655, 5.91335292846, 1007.02180054980}, 2097 { 0.00000003681, 1.62865545676, 388.46515523820}, 2098 { 0.00000003198, 0.70197118575, 1558.05340664680}, 2099 { 0.00000003243, 1.88035665980, 522.57741809380}, 2100 { 0.00000002688, 1.87062743473, 402.69224923980}, 2101 { 0.00000003246, 0.79381356193, 536.80451209540}, 2102 { 0.00000002650, 5.76858449026, 343.21857259960}, 2103 { 0.00000002644, 4.64542905401, 500.15594916590}, 2104 { 0.00000002541, 4.79217120822, 482.95990974770}, 2105 { 0.00000002523, 1.72869889780, 395.57870223900}, 2106 { 0.00000003040, 2.90934098363, 76.26607127560}, 2107 { 0.00000002690, 2.21096415618, 446.31134681820}, 2108 { 0.00000002355, 5.77381398401, 485.92885516430}, 2109 { 0.00000002874, 6.19643340540, 815.06334611420}, 2110 { 0.00000002450, 2.14451121185, 39.61750834610}, 2111 { 0.00000002278, 3.66579603119, 497.18700374930}, 2112 ]; 2113 2114 2115 static const ln_vsop[RADIUS_R4] neptune_radius_r4 = [ 2116 { 0.00000004227, 2.40375758563, 477.33083545520}, 2117 { 0.00000004333, 0.10459484545, 395.57870223900}, 2118 { 0.00000003545, 4.78431259422, 1028.36244155220}, 2119 { 0.00000003154, 3.88192942366, 505.78502345840}, 2120 { 0.00000003016, 1.03609346831, 189.39315380180}, 2121 { 0.00000002294, 1.10879658603, 182.27960680100}, 2122 { 0.00000002295, 5.67776133184, 168.05251279940}, 2123 ]; 2124 2125 extern (C) { 2126 2127 /*! \fn void ln_get_neptune_equ_coords(double JD, struct ln_equ_posn *position); 2128 * \param JD julian Day 2129 * \param position Pointer to store position 2130 * 2131 * Calculates Neptune's equatorial position for given julian day. 2132 * This function includes calculations for planetary aberration and refers 2133 * to the FK5 reference frame. 2134 * 2135 * To get the complete equatorial coordinates, corrections for nutation 2136 * have to be applied. 2137 * 2138 * The position returned is accurate to within 0.1 arcsecs. 2139 */ 2140 @nogc void ln_get_neptune_equ_coords(double JD, ref ln_equ_posn position) nothrow 2141 { 2142 ln_helio_posn h_sol, h_neptune; 2143 ln_rect_posn g_sol, g_neptune; 2144 double a,b,c; 2145 double ra, dec, delta, diff, last, t = 0; 2146 2147 /* need typdef for solar heliocentric coords */ 2148 ln_get_solar_geom_coords(JD, h_sol); 2149 ln_get_rect_from_helio(h_sol, g_sol); 2150 2151 do { 2152 last = t; 2153 ln_get_neptune_helio_coords(JD - t, h_neptune); 2154 ln_get_rect_from_helio(h_neptune, g_neptune); 2155 2156 /* equ 33.10 pg 229 */ 2157 a = g_sol.X + g_neptune.X; 2158 b = g_sol.Y + g_neptune.Y; 2159 c = g_sol.Z + g_neptune.Z; 2160 2161 delta = a*a + b*b + c*c; 2162 delta = sqrt(delta); 2163 t = delta * 0.0057755183; 2164 diff = t - last; 2165 } while (diff > 0.0001 || diff < -0.0001); 2166 2167 ra = atan2(b,a); 2168 dec = c / delta; 2169 dec = asin(dec); 2170 2171 /* back to hours, degrees */ 2172 position.ra = ln_range_degrees(ln_rad_to_deg(ra)); 2173 position.dec = ln_rad_to_deg(dec); 2174 } 2175 2176 2177 /*! \fn void ln_get_neptune_helio_coords(double JD, struct ln_helio_posn *position) 2178 * \param JD Julian Day 2179 * \param position Pointer to store heliocentric position 2180 * 2181 * Calculate Neptunes heliocentric (refered to the centre of the Sun) coordinates 2182 * in the FK5 reference frame for the given julian day. 2183 * Longitude and Latitude are in degrees, whilst radius vector is in AU. 2184 */ 2185 /* Chapter 31 Pg 206-207 Equ 31.1 31.2 , 31.3 using VSOP 87 2186 */ 2187 @nogc void ln_get_neptune_helio_coords(double JD, ref ln_helio_posn position) nothrow 2188 { 2189 double t, t2, t3, t4; 2190 double L0, L1, L2, L3; 2191 double B0, B1, B2, B3; 2192 double R0, R1, R2, R3, R4; 2193 2194 /* check cache first */ 2195 if (JD == cJD) { 2196 /* cache hit */ 2197 position.L = cL; 2198 position.B = cB; 2199 position.R = cR; 2200 return; 2201 } 2202 2203 /* get julian ephemeris day */ 2204 t =(JD - 2451545.0) / 365250.0; 2205 t2 = t * t; 2206 t3 = t2 * t; 2207 t4 = t3 * t; 2208 2209 /* calc L series */ 2210 L0 = ln_calc_series(neptune_longitude_l0, t); 2211 L1 = ln_calc_series(neptune_longitude_l1, t); 2212 L2 = ln_calc_series(neptune_longitude_l2, t); 2213 L3 = ln_calc_series(neptune_longitude_l3, t); 2214 position.L = (L0 + L1 * t + L2 * t2 + L3 * t3); 2215 2216 /* calc B series */ 2217 B0 = ln_calc_series(neptune_latitude_b0, t); 2218 B1 = ln_calc_series(neptune_latitude_b1, t); 2219 B2 = ln_calc_series(neptune_latitude_b2, t); 2220 B3 = ln_calc_series(neptune_latitude_b3, t); 2221 position.B = (B0 + B1 * t + B2 * t2 + B3 * t3); 2222 2223 2224 /* calc R series */ 2225 R0 = ln_calc_series(neptune_radius_r0, t); 2226 R1 = ln_calc_series(neptune_radius_r1, t); 2227 R2 = ln_calc_series(neptune_radius_r2, t); 2228 R3 = ln_calc_series(neptune_radius_r3, t); 2229 R4 = ln_calc_series(neptune_radius_r4, t); 2230 position.R = (R0 + R1 * t + R2 * t2 + R3 * t3 + R4 * t4); 2231 2232 /* change to degrees in correct quadrant */ 2233 position.L = ln_rad_to_deg(position.L); 2234 position.B = ln_rad_to_deg(position.B); 2235 position.L = ln_range_degrees(position.L); 2236 2237 /* change to fk5 reference frame */ 2238 ln_vsop87_to_fk5(position, JD); 2239 2240 /* save cache */ 2241 cJD = JD; 2242 cL = position.L; 2243 cB = position.B; 2244 cR = position.R; 2245 } 2246 2247 2248 /*! \fn double ln_get_neptune_earth_dist(double JD); 2249 * \brief Calculate the distance between Neptune and the Earth in AU 2250 * \param JD Julian day 2251 * \return Distance in AU 2252 * 2253 * Calculates the distance in AU between the Earth and Neptune for 2254 * the given julian day. 2255 */ 2256 @nogc double ln_get_neptune_earth_dist(double JD) nothrow 2257 { 2258 ln_helio_posn h_neptune, h_earth; 2259 ln_rect_posn g_neptune, g_earth; 2260 double x, y, z; 2261 2262 /* get heliocentric positions */ 2263 ln_get_neptune_helio_coords(JD, h_neptune); 2264 ln_get_earth_helio_coords(JD, h_earth); 2265 2266 /* get geocentric coords */ 2267 ln_get_rect_from_helio(h_neptune, g_neptune); 2268 ln_get_rect_from_helio(h_earth, g_earth); 2269 2270 /* use pythag */ 2271 x = g_neptune.X - g_earth.X; 2272 y = g_neptune.Y - g_earth.Y; 2273 z = g_neptune.Z - g_earth.Z; 2274 x = x * x; 2275 y = y * y; 2276 z = z * z; 2277 2278 return sqrt(x + y + z); 2279 } 2280 2281 /*! \fn double ln_get_neptune_solar_dist(double JD); 2282 * \brief Calculate the distance between Neptune and the Sun in AU 2283 * \param JD Julian day 2284 * \return distance in AU 2285 * 2286 * Calculates the distance in AU between the Sun and Neptune 2287 * for the given julian day. 2288 */ 2289 @nogc double ln_get_neptune_solar_dist(double JD) nothrow 2290 { 2291 ln_helio_posn h_neptune; 2292 2293 /* get heliocentric position */ 2294 ln_get_neptune_helio_coords(JD, h_neptune); 2295 return h_neptune.R; 2296 } 2297 2298 /*! \fn double ln_get_neptune_magnitude(double JD); 2299 * \brief Calculate the visible magnitude of Neptune 2300 * \param JD Julian day 2301 * \return Visible magnitude of neptune 2302 * 2303 * Calculate the visible magnitude of Neptune for the given julian day. 2304 */ 2305 @nogc double ln_get_neptune_magnitude(double JD) nothrow 2306 { 2307 double delta, r; 2308 2309 /* get distances */ 2310 r = ln_get_neptune_solar_dist(JD); 2311 delta = ln_get_neptune_earth_dist(JD); 2312 2313 return -6.87 + 5.0 * log10(r * delta); 2314 } 2315 2316 /*! \fn double ln_get_neptune_disk(double JD); 2317 * \brief Calculate the illuminated fraction of Neptune's disk 2318 * \param JD Julian day 2319 * \return Illuminated fraction of Neptune's disk 2320 * 2321 * Calculate the illuminated fraction of Neptune's disk for the given Julian 2322 * day. 2323 */ 2324 /* Chapter 41 */ 2325 @nogc double ln_get_neptune_disk(double JD) nothrow 2326 { 2327 double r, delta, R; 2328 2329 /* get distances */ 2330 R = ln_get_earth_solar_dist(JD); 2331 r = ln_get_neptune_solar_dist(JD); 2332 delta = ln_get_neptune_earth_dist(JD); 2333 2334 /* calc fraction angle */ 2335 return (((r + delta) * (r + delta)) - R * R) / (4.0 * r * delta); 2336 } 2337 2338 /*! \fn double ln_get_neptune_phase(double JD); 2339 * \param JD Julian day 2340 * \return Phase angle of Neptune (degrees) 2341 * 2342 * Calculates the phase angle of Neptune, that is, the angle Sun - 2343 * Neptune - Earth for the given Julian day. 2344 */ 2345 /* Chapter 41 */ 2346 @nogc double ln_get_neptune_phase(double JD) nothrow 2347 { 2348 double i, r, delta, R; 2349 2350 /* get distances */ 2351 R = ln_get_earth_solar_dist(JD); 2352 r = ln_get_neptune_solar_dist(JD); 2353 delta = ln_get_neptune_earth_dist(JD); 2354 2355 /* calc phase */ 2356 i = (r * r + delta * delta - R * R) / (2.0 * r * delta); 2357 i = acos(i); 2358 return ln_rad_to_deg(i); 2359 } 2360 2361 2362 /*! \fn double ln_get_neptune_rst(double JD, struct ln_lnlat_posn *observer, struct ln_rst_time *rst); 2363 * \param JD Julian day 2364 * \param observer Observers position 2365 * \param rst Pointer to store Rise, Set and Transit time in JD 2366 * \return 0 for success, else 1 for circumpolar. 2367 * 2368 * Calculate the time the rise, set and transit (crosses the local meridian at upper culmination) 2369 * time of Neptune for the given Julian day. 2370 * 2371 * Note: this functions returns 1 if Neptune is circumpolar, that is it remains the whole 2372 * day either above or below the horizon. 2373 */ 2374 @nogc int ln_get_neptune_rst(double JD, const ref ln_lnlat_posn observer, 2375 ref ln_rst_time rst) nothrow 2376 { 2377 return ln_get_body_rst_horizon(JD, observer, &ln_get_neptune_equ_coords, 2378 LN_STAR_STANDART_HORIZON, rst); 2379 } 2380 2381 /*! \fn double ln_get_neptune_sdiam(double JD) 2382 * \param JD Julian day 2383 * \return Semidiameter in arc seconds 2384 * 2385 * Calculate the semidiameter of Neptune in arc seconds for the 2386 * given julian day. 2387 */ 2388 @nogc double ln_get_neptune_sdiam(double JD) nothrow 2389 { 2390 double So = 33.50; /* at 1 AU */ 2391 double dist; 2392 2393 dist = ln_get_neptune_earth_dist(JD); 2394 return So / dist; 2395 } 2396 2397 /*! \fn void ln_get_neptune_rect_helio(double JD, struct ln_rect_posn *position) 2398 * \param JD Julian day. 2399 * \param position pointer to return position 2400 * 2401 * Calculate Neptunes rectangular heliocentric coordinates for the 2402 * given Julian day. Coordinates are in AU. 2403 */ 2404 @nogc void ln_get_neptune_rect_helio(double JD, ref ln_rect_posn position) nothrow 2405 { 2406 ln_helio_posn neptune; 2407 2408 ln_get_neptune_helio_coords(JD, neptune); 2409 ln_get_rect_from_helio(neptune, position); 2410 } 2411 2412 }