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
20 */
21
22 #include <math.h>
23 #include <libnova/neptune.h>
24 #include <libnova/vsop87.h>
25 #include <libnova/solar.h>
26 #include <libnova/earth.h>
27 #include <libnova/transform.h>
28 #include <libnova/rise_set.h>
29 #include <libnova/utility.h>
30
31 #define LONG_L0 539
32 #define LONG_L1 224
33 #define LONG_L2 59
34 #define LONG_L3 18
35 #define LAT_B0 172
36 #define LAT_B1 49
37 #define LAT_B2 13
38 #define LAT_B3 2
39 #define RADIUS_R0 596
40 #define RADIUS_R1 251
41 #define RADIUS_R2 71
42 #define RADIUS_R3 23
43 #define RADIUS_R4 7
44
45 /* cache variables */
46 static double cJD = 0, cL = 0, cB = 0, cR = 0;
47
48 static const struct ln_vsop neptune_longitude_l0[LONG_L0] = {
49 { 5.31188633046, 0.00000000000, 0.00000000000},
50 { 0.01798475530, 2.90101273890, 38.13303563780},
51 { 0.01019727652, 0.48580922867, 1.48447270830},
52 { 0.00124531845, 4.83008090676, 36.64856292950},
53 { 0.00042064466, 5.41054993053, 2.96894541660},
54 { 0.00037714584, 6.09221808686, 35.16409022120},
55 { 0.00033784738, 1.24488874087, 76.26607127560},
56 { 0.00016482741, 0.00007727998, 491.55792945680},
57 { 0.00009198584, 4.93747051954, 39.61750834610},
58 { 0.00008994250, 0.27462171806, 175.16605980020},
59 { 0.00004216242, 1.98711875978, 73.29712585900},
60 { 0.00003364807, 1.03590060915, 33.67961751290},
61 { 0.00002284800, 4.20606949415, 4.45341812490},
62 { 0.00001433516, 2.78339802539, 74.78159856730},
63 { 0.00000900236, 2.07607168714, 109.94568878850},
64 { 0.00000744997, 3.19032509437, 71.81265315070},
65 { 0.00000506217, 5.74786069680, 114.39910691340},
66 { 0.00000399552, 0.34972342836, 1021.24889455140},
67 { 0.00000345189, 3.46185292806, 41.10198105440},
68 { 0.00000306338, 0.49684052934, 0.52126486180},
69 { 0.00000287322, 4.50523446022, 0.04818410980},
70 { 0.00000323003, 2.24814943701, 32.19514480460},
71 { 0.00000340303, 3.30376245107, 77.75054398390},
72 { 0.00000266605, 4.88932605590, 0.96320784650},
73 { 0.00000227079, 1.79713146385, 453.42489381900},
74 { 0.00000244722, 1.24693366148, 9.56122755560},
75 { 0.00000232888, 2.50459784128, 137.03302416240},
76 { 0.00000282170, 2.24565589980, 146.59425171800},
77 { 0.00000251941, 5.78166617117, 388.46515523820},
78 { 0.00000150188, 2.99706170691, 5.93789083320},
79 { 0.00000170404, 3.32390687638, 108.46121608020},
80 { 0.00000151401, 2.19153150087, 33.94024994380},
81 { 0.00000148305, 0.85949274408, 111.43016149680},
82 { 0.00000118672, 3.67706211426, 2.44768055480},
83 { 0.00000101821, 5.70539236951, 0.11187458460},
84 { 0.00000097873, 2.80518417596, 8.07675484730},
85 { 0.00000103059, 4.40432042649, 70.32818044240},
86 { 0.00000103305, 0.04078966679, 0.26063243090},
87 { 0.00000109299, 2.41599473953, 183.24281464750},
88 { 0.00000073938, 1.32805035282, 529.69096509460},
89 { 0.00000077725, 4.16446516489, 4.19278569400},
90 { 0.00000086312, 4.22838781137, 490.07345674850},
91 { 0.00000081558, 5.19840134548, 493.04240216510},
92 { 0.00000071503, 5.29530376008, 350.33211960040},
93 { 0.00000064418, 3.54540876782, 168.05251279940},
94 { 0.00000062570, 0.15028731307, 182.27960680100},
95 { 0.00000058488, 3.50107011546, 145.10977900970},
96 { 0.00000048286, 1.11259007090, 112.91463420510},
97 { 0.00000047229, 4.57373234943, 46.20979048510},
98 { 0.00000039124, 1.66569494185, 213.29909543800},
99 { 0.00000047728, 0.12906212459, 484.44438245600},
100 { 0.00000046858, 3.01699530311, 498.67147645760},
101 { 0.00000038659, 2.38685681991, 2.92076130680},
102 { 0.00000047046, 4.49844734537, 173.68158709190},
103 { 0.00000047565, 2.58404545035, 219.89137757700},
104 { 0.00000044714, 5.47302844713, 176.65053250850},
105 { 0.00000032279, 3.45758705244, 30.71067209630},
106 { 0.00000028249, 4.13282449919, 6.59228213900},
107 { 0.00000024432, 4.55736924822, 106.97674337190},
108 { 0.00000024661, 3.67821364144, 181.75834193920},
109 { 0.00000024505, 1.55095976661, 7.11354700080},
110 { 0.00000021848, 1.04366945175, 39.09624348430},
111 { 0.00000016835, 6.11092370371, 44.72531777680},
112 { 0.00000022220, 2.74693585259, 256.53994050650},
113 { 0.00000016614, 4.98189005162, 37.61177077600},
114 { 0.00000017728, 3.55049134136, 1.37259812370},
115 { 0.00000017348, 2.14093469791, 42.58645376270},
116 { 0.00000014588, 0.69766675400, 1550.93985964600},
117 { 0.00000014969, 3.36426560630, 98.89998852460},
118 { 0.00000015677, 6.22011053513, 454.90936652730},
119 { 0.00000013243, 5.61712395571, 68.84370773410},
120 { 0.00000014837, 3.52556891759, 25.60286266560},
121 { 0.00000012757, 0.04509403901, 11.04570026390},
122 { 0.00000011988, 4.81688773476, 24.11838995730},
123 { 0.00000011060, 1.78958328174, 7.42236354150},
124 { 0.00000012104, 1.86916301309, 79.23501669220},
125 { 0.00000011698, 0.49005698054, 1.59634729290},
126 { 0.00000010459, 2.38743199573, 381.35160823740},
127 { 0.00000011682, 3.85152266622, 218.40690486870},
128 { 0.00000008744, 0.14169605624, 148.07872442630},
129 { 0.00000009196, 1.00274082532, 72.07328558160},
130 { 0.00000011343, 0.81432264944, 525.49817940060},
131 { 0.00000010097, 5.03381894926, 601.76425067620},
132 { 0.00000008035, 1.77685723010, 0.21244832110},
133 { 0.00000008382, 3.07534786987, 1.27202438720},
134 { 0.00000010803, 2.92080692152, 293.18850343600},
135 { 0.00000007666, 1.52272200302, 115.88357962170},
136 { 0.00000007531, 5.37537041047, 5.10780943070},
137 { 0.00000008691, 4.74349171636, 143.62530630140},
138 { 0.00000010183, 1.15395455831, 6244.94281435360},
139 { 0.00000008287, 0.35990637292, 138.51749687070},
140 { 0.00000009543, 4.02459127211, 152.53214255120},
141 { 0.00000007268, 4.11164858892, 251.43213107580},
142 { 0.00000007465, 1.72131360023, 31.01948863700},
143 { 0.00000006902, 4.62452234150, 2.70831298570},
144 { 0.00000007094, 5.11529809988, 312.19908396260},
145 { 0.00000007929, 2.10765766676, 27.08733537390},
146 { 0.00000006156, 3.50746819519, 28.57180808220},
147 { 0.00000007134, 2.05292375736, 278.25883401880},
148 { 0.00000008193, 2.58588219154, 141.22580985640},
149 { 0.00000005499, 2.09250039025, 1.69692102940},
150 { 0.00000005279, 4.09388735435, 983.11585891360},
151 { 0.00000006933, 3.47729102004, 415.29185818120},
152 { 0.00000005916, 0.68957254143, 62.25142559510},
153 { 0.00000005925, 4.02508149455, 255.05546779820},
154 { 0.00000004606, 1.17780552175, 43.24084506850},
155 { 0.00000005357, 3.63061309594, 5.41662597140},
156 { 0.00000005918, 2.57693824084, 10175.15251057320},
157 { 0.00000005482, 3.07977337441, 329.83706636550},
158 { 0.00000003956, 5.00417876355, 184.72728735580},
159 { 0.00000005398, 3.31531091775, 528.20649238630},
160 { 0.00000004767, 4.91981115318, 456.39383923560},
161 { 0.00000003770, 1.57277409027, 32.71640966640},
162 { 0.00000003924, 4.92761954552, 180.27386923090},
163 { 0.00000003707, 4.82965059592, 221.37585028530},
164 { 0.00000003802, 4.96279204998, 594.65070367540},
165 { 0.00000004014, 1.63901581079, 40.58071619260},
166 { 0.00000003061, 0.39712980415, 1.43628859850},
167 { 0.00000003261, 4.65481470589, 29.22619938800},
168 { 0.00000003474, 5.65891306563, 395.57870223900},
169 { 0.00000002918, 5.91079083936, 1.22384027740},
170 { 0.00000003225, 5.57423738665, 1014.13534755060},
171 { 0.00000003442, 5.60791606864, 488.58898404020},
172 { 0.00000002845, 0.56009439099, 144.14657116320},
173 { 0.00000002841, 0.55459681230, 567.82400073240},
174 { 0.00000003440, 1.70886719923, 12.53017297220},
175 { 0.00000003456, 3.87315999467, 494.52687487340},
176 { 0.00000003107, 5.79332348779, 105.49227066360},
177 { 0.00000002712, 2.43722805817, 60.76695288680},
178 { 0.00000003227, 4.68651708637, 82.85835341460},
179 { 0.00000003202, 2.21481972921, 41.05379694460},
180 { 0.00000003590, 5.69939670162, 1124.34166877000},
181 { 0.00000002961, 0.54712452509, 135.54855145410},
182 { 0.00000003173, 4.19788791291, 291.70403072770},
183 { 0.00000002899, 5.99671470079, 22.63391724900},
184 { 0.00000003143, 2.93495725805, 31.23193695810},
185 { 0.00000002729, 4.62709462438, 5.62907429250},
186 { 0.00000002513, 5.60391563025, 19.12245511120},
187 { 0.00000002690, 5.32070934185, 2.00573757010},
188 { 0.00000002630, 6.00855115785, 37.16982779130},
189 { 0.00000002282, 6.07498178903, 451.94042111070},
190 { 0.00000002858, 4.88680338436, 258.02441321480},
191 { 0.00000002879, 5.12236912878, 38.65430049960},
192 { 0.00000002270, 2.08633953722, 30.05628079050},
193 { 0.00000002301, 3.35951602914, 1028.36244155220},
194 { 0.00000003001, 3.59152016870, 211.81462272970},
195 { 0.00000002238, 0.38455483182, 3.62333672240},
196 { 0.00000002901, 3.24753792395, 366.48562929500},
197 { 0.00000002592, 1.36262664245, 35.42472265210},
198 { 0.00000002418, 4.93469145264, 47.69426319340},
199 { 0.00000002089, 5.79838063413, 4.66586644600},
200 { 0.00000002586, 2.69392971550, 38.18121974760},
201 { 0.00000001971, 6.00790962923, 34.20088237470},
202 { 0.00000002586, 6.24984047773, 38.08485152800},
203 { 0.00000002098, 4.57817230839, 1019.76442184310},
204 { 0.00000001839, 5.57608456495, 149.56319713460},
205 { 0.00000001869, 3.85907708723, 911.04257333200},
206 { 0.00000002486, 5.21233869943, 140.00196957900},
207 { 0.00000001795, 1.68007697304, 1059.38193018920},
208 { 0.00000002326, 2.82664069146, 807.94979911340},
209 { 0.00000001936, 5.10955276726, 216.92243216040},
210 { 0.00000001984, 5.54760871921, 1022.73336725970},
211 { 0.00000001835, 5.97770747608, 172.19711438360},
212 { 0.00000002004, 5.47803248635, 63.73589830340},
213 { 0.00000002140, 2.65037925793, 700.66423920080},
214 { 0.00000001988, 3.35856016133, 186.21176006410},
215 { 0.00000001956, 5.01516643942, 294.67297614430},
216 { 0.00000001966, 4.07957525462, 20.60692781950},
217 { 0.00000001637, 0.53824150223, 67.35923502580},
218 { 0.00000001871, 4.15223195600, 178.13500521680},
219 { 0.00000001540, 2.62327824804, 41.75637236020},
220 { 0.00000001820, 5.81768086494, 129.91947716160},
221 { 0.00000001754, 4.36839235779, 328.35259365720},
222 { 0.00000001460, 2.63664516309, 2.85707083200},
223 { 0.00000001388, 2.10605065495, 3.93215326310},
224 { 0.00000001352, 0.55618245459, 0.65439130580},
225 { 0.00000001668, 2.77543377384, 16.15350969460},
226 { 0.00000001338, 0.37645467215, 14.01464568050},
227 { 0.00000001218, 0.73457000060, 426.59819087600},
228 { 0.00000001610, 3.40993998127, 403.13419222450},
229 { 0.00000001361, 4.48227243414, 17.63798240290},
230 { 0.00000001589, 5.59323020112, 3302.47939106200},
231 { 0.00000001464, 4.52431769151, 526.72201967800},
232 { 0.00000001122, 5.66659544539, 151.04766984290},
233 { 0.00000001357, 4.06398362517, 26.82670294300},
234 { 0.00000001494, 4.98692083723, 666.72398925700},
235 { 0.00000001077, 4.30911470250, 0.63313944640},
236 { 0.00000001042, 6.02756893202, 106.01353552540},
237 { 0.00000001060, 0.74665002402, 487.36514376280},
238 { 0.00000001310, 3.78526234581, 386.98068252990},
239 { 0.00000001342, 4.52683913540, 563.63121503840},
240 { 0.00000000986, 0.00602637103, 81.37388070630},
241 { 0.00000001233, 5.17442601841, 331.32153907380},
242 { 0.00000000929, 4.51267466208, 38.39366806870},
243 { 0.00000000956, 3.50447791020, 64.95973858080},
244 { 0.00000000929, 4.43109514668, 37.87240320690},
245 { 0.00000000926, 6.09803297747, 4.14460158420},
246 { 0.00000000972, 0.59044574729, 8.90683624980},
247 { 0.00000001246, 4.69840799242, 389.94962794650},
248 { 0.00000001009, 5.98445003291, 142.14083359310},
249 { 0.00000001020, 0.83233892293, 39.35687591520},
250 { 0.00000001013, 0.37845632082, 36.90919536040},
251 { 0.00000001193, 0.77431842880, 44.07092647100},
252 { 0.00000000940, 2.42688217399, 343.21857259960},
253 { 0.00000000974, 5.24721391344, 253.57099508990},
254 { 0.00000000964, 5.09748188959, 357.44566660120},
255 { 0.00000000835, 1.45570317496, 35.21227433100},
256 { 0.00000001083, 2.27578915691, 6.90109867970},
257 { 0.00000000938, 5.03471597364, 69.36497259590},
258 { 0.00000001078, 1.20239572961, 35.68535508300},
259 { 0.00000001027, 0.18244384186, 84.34282612290},
260 { 0.00000000764, 4.62720907712, 0.83008140250},
261 { 0.00000001013, 0.42234910440, 32.45577723550},
262 { 0.00000000939, 4.50445790730, 365.00115658670},
263 { 0.00000000756, 0.82872484721, 17.52610781830},
264 { 0.00000000916, 3.89409205647, 38.24491022240},
265 { 0.00000000736, 4.78125743795, 5.36844186160},
266 { 0.00000000755, 2.28073625559, 42.32582133180},
267 { 0.00000000762, 0.01897337130, 189.39315380180},
268 { 0.00000000888, 3.20358484815, 348.84764689210},
269 { 0.00000000916, 5.04967793164, 38.02116105320},
270 { 0.00000000638, 0.63267398066, 244.31858407500},
271 { 0.00000000870, 4.69158261795, 210.33015002140},
272 { 0.00000000636, 1.02615137352, 2080.63082474060},
273 { 0.00000000774, 5.44432672662, 367.97010200330},
274 { 0.00000000644, 1.94044995543, 446.31134681820},
275 { 0.00000000631, 4.82928478042, 460.53844081980},
276 { 0.00000000855, 3.57592750113, 439.78275515400},
277 { 0.00000000678, 4.48672134948, 351.81659230870},
278 { 0.00000000724, 4.89125815316, 119.50691634410},
279 { 0.00000000594, 0.59315717685, 491.03666459500},
280 { 0.00000000655, 1.99014094340, 19.01058052660},
281 { 0.00000000580, 2.57189536244, 492.07919431860},
282 { 0.00000000694, 0.08328898350, 5.67725840230},
283 { 0.00000000733, 5.81485239057, 29.74746424980},
284 { 0.00000000666, 3.42196897591, 179.09821306330},
285 { 0.00000000678, 0.29428615814, 171.23390653710},
286 { 0.00000000635, 2.13805182663, 164.12035953630},
287 { 0.00000000623, 5.61454940380, 285.37238101960},
288 { 0.00000000529, 1.88036938507, 416.77633088950},
289 { 0.00000000529, 5.13250788030, 697.74347789400},
290 { 0.00000000500, 1.49548514012, 704.85702489480},
291 { 0.00000000666, 6.26456825266, 1474.67378837040},
292 { 0.00000000532, 0.25784352716, 477.33083545520},
293 { 0.00000000477, 4.96717541029, 274.06604832480},
294 { 0.00000000557, 0.71390028264, 80.71948940050},
295 { 0.00000000556, 2.60791466171, 418.26080359780},
296 { 0.00000000584, 4.29064541383, 16.67477455640},
297 { 0.00000000524, 5.42714112993, 290.21955801940},
298 { 0.00000000524, 0.29054995359, 247.23934538180},
299 { 0.00000000541, 4.36400580938, 815.06334611420},
300 { 0.00000000525, 4.70814258726, 401.64971951620},
301 { 0.00000000544, 1.70619260267, 97.41551581630},
302 { 0.00000000458, 6.13569488022, 178.78939652260},
303 { 0.00000000432, 2.98508233021, 100.38446123290},
304 { 0.00000000456, 4.35380290850, 180.79513409270},
305 { 0.00000000382, 0.28067758468, 8.38557138800},
306 { 0.00000000484, 0.01535334378, 738.79727483860},
307 { 0.00000000518, 4.48916591410, 875.83029900100},
308 { 0.00000000506, 5.38611153480, 404.61866493280},
309 { 0.00000000396, 4.62747640832, 6.15033915430},
310 { 0.00000000466, 0.23333349172, 120.99138905240},
311 { 0.00000000409, 3.08848985159, 59.28248017850},
312 { 0.00000000470, 5.01853077975, 313.68355667090},
313 { 0.00000000442, 3.68919364372, 457.87831194390},
314 { 0.00000000384, 3.69499925394, 160.93896579860},
315 { 0.00000000364, 0.76172331873, 104.00779795530},
316 { 0.00000000416, 0.26654216462, 103.09277421860},
317 { 0.00000000401, 4.06530055968, 14.66903698630},
318 { 0.00000000454, 3.72767803715, 476.43131808350},
319 { 0.00000000434, 0.33532124451, 984.60033162190},
320 { 0.00000000340, 0.99917090883, 31.54075349880},
321 { 0.00000000420, 3.65147769264, 20.49505323490},
322 { 0.00000000334, 0.35121412008, 1227.43444298860},
323 { 0.00000000321, 0.46861755388, 118.02244363580},
324 { 0.00000000323, 5.45836731979, 918.15612033280},
325 { 0.00000000407, 4.19457842203, 309.79958751760},
326 { 0.00000000381, 0.01364856960, 495.49008271990},
327 { 0.00000000334, 4.05924071124, 8.33738727820},
328 { 0.00000000380, 3.17063415023, 487.62577619370},
329 { 0.00000000380, 2.70238752925, 134.11226285560},
330 { 0.00000000305, 2.49866234194, 12566.15169998280},
331 { 0.00000000296, 0.33794345250, 208.84567731310},
332 { 0.00000000362, 4.88985810610, 438.29828244570},
333 { 0.00000000327, 2.91090790412, 505.78502345840},
334 { 0.00000000308, 0.96082817124, 21.14944454070},
335 { 0.00000000282, 4.04208377539, 6205.32530600750},
336 { 0.00000000288, 1.48123825325, 220.41264243880},
337 { 0.00000000391, 4.00154736435, 674.80074410430},
338 { 0.00000000326, 2.46105030955, 169.53698550770},
339 { 0.00000000289, 2.63591886401, 55.77101804070},
340 { 0.00000000288, 5.02487283285, 1440.73353842660},
341 { 0.00000000344, 1.48931098748, 166.56804009110},
342 { 0.00000000277, 2.56804940377, 662.53120356300},
343 { 0.00000000268, 5.02354540478, 377.41945497430},
344 { 0.00000000308, 1.50179611581, 77.22927912210},
345 { 0.00000000324, 5.30240189409, 457.61767951300},
346 { 0.00000000264, 0.83337660655, 488.37653571910},
347 { 0.00000000290, 1.79966899809, 101.86893394120},
348 { 0.00000000262, 2.30390003360, 494.73932319450},
349 { 0.00000000293, 5.61946139216, 326.86812094890},
350 { 0.00000000325, 5.52669903629, 441.26722786230},
351 { 0.00000000253, 1.51157242351, 79.88940799800},
352 { 0.00000000250, 1.08902686231, 450.45594840240},
353 { 0.00000000254, 0.02957070469, 117.36805233000},
354 { 0.00000000315, 5.34884988949, 183.76407950930},
355 { 0.00000000243, 0.63404014969, 79.18683258240},
356 { 0.00000000313, 5.45945846595, 13.49338081870},
357 { 0.00000000306, 5.23048213432, 45.24658263860},
358 { 0.00000000263, 2.66670757215, 464.73122651380},
359 { 0.00000000242, 6.04858356336, 36.12729806770},
360 { 0.00000000234, 1.82700149824, 52175.80628314840},
361 { 0.00000000275, 5.04385701142, 156.15547927360},
362 { 0.00000000247, 1.74540930625, 65.87476231750},
363 { 0.00000000293, 3.98736984598, 141.48644228730},
364 { 0.00000000269, 6.09827783249, 1654.03263386460},
365 { 0.00000000229, 2.25830514766, 190.66517818900},
366 { 0.00000000294, 5.45234088717, 206.18554843720},
367 { 0.00000000230, 6.13158632762, 178.34745353790},
368 { 0.00000000274, 4.10829870815, 518.38463239980},
369 { 0.00000000225, 3.86300359251, 171.98466606250},
370 { 0.00000000272, 5.61149862463, 148.33935685720},
371 { 0.00000000239, 0.67204276457, 267.58564077040},
372 { 0.00000000256, 5.53344401207, 266.10116806210},
373 { 0.00000000214, 1.45987234069, 522.57741809380},
374 { 0.00000000237, 0.88414073923, 304.23420369990},
375 { 0.00000000266, 0.99036038827, 209.10630974400},
376 { 0.00000000235, 1.45372667222, 69.15252427480},
377 { 0.00000000230, 0.54049951530, 532.61172640140},
378 { 0.00000000226, 3.84152961620, 283.62727588040},
379 { 0.00000000243, 5.32730356188, 485.92885516430},
380 { 0.00000000211, 4.62164373274, 110.20632121940},
381 { 0.00000000209, 4.35051429228, 536.80451209540},
382 { 0.00000000232, 3.01948719112, 10.93382567930},
383 { 0.00000000244, 1.32007560700, 279.74330672710},
384 { 0.00000000246, 0.37702127050, 157.63995198190},
385 { 0.00000000219, 5.67679857772, 52099.54021187280},
386 { 0.00000000251, 1.52353965506, 6.85291456990},
387 { 0.00000000203, 5.44328634514, 145.63104387150},
388 { 0.00000000238, 0.96169703532, 497.18700374930},
389 { 0.00000000219, 4.52300776062, 1615.89959822680},
390 { 0.00000000275, 2.37619204391, 2118.76386037840},
391 { 0.00000000260, 5.73101715512, 490.33408917940},
392 { 0.00000000221, 0.02848945752, 215.43795945210},
393 { 0.00000000258, 5.12448148780, 608.87779767700},
394 { 0.00000000260, 3.88543008475, 513.07988101300},
395 { 0.00000000191, 3.72590321496, 65.22037101170},
396 { 0.00000000189, 5.28013390816, 377.15882254340},
397 { 0.00000000243, 4.35559887596, 482.95990974770},
398 { 0.00000000208, 5.62023497734, 526.98265210890},
399 { 0.00000000243, 6.06790724123, 154.01661525950},
400 { 0.00000000188, 2.62629206555, 276.77436131050},
401 { 0.00000000209, 2.55968827096, 75.74480641380},
402 { 0.00000000187, 4.74390535167, 1189.30140735080},
403 { 0.00000000216, 0.02830351243, 73.55775828990},
404 { 0.00000000227, 3.27856938091, 522.52923398400},
405 { 0.00000000249, 1.57215637373, 14.22709400160},
406 { 0.00000000202, 1.28244949587, 20426.57109242200},
407 { 0.00000000238, 1.93340172124, 500.15594916590},
408 { 0.00000000209, 5.02893682321, 364.55921360200},
409 { 0.00000000184, 4.83097075362, 315.16802937920},
410 { 0.00000000227, 5.72984298540, 1543.82631264520},
411 { 0.00000000198, 3.48843299287, 207.36120460480},
412 { 0.00000000217, 2.45036922991, 187.17496791060},
413 { 0.00000000181, 1.65699502247, 1627.20593092160},
414 { 0.00000000214, 1.60213179145, 11.30633269480},
415 { 0.00000000203, 0.74638490279, 14.55716240170},
416 { 0.00000000227, 4.05259736056, 285.11174858870},
417 { 0.00000000192, 3.17719161639, 343.47920503050},
418 { 0.00000000206, 1.70602580638, 913.96333463880},
419 { 0.00000000177, 1.50027795761, 9.44935297100},
420 { 0.00000000177, 0.03038093848, 165.60483224460},
421 { 0.00000000229, 3.63854889639, 139.74133714810},
422 { 0.00000000208, 2.65835804847, 496.01134758170},
423 { 0.00000000208, 0.12968873405, 252.91660378410},
424 { 0.00000000174, 2.76107721407, 49.17873590170},
425 { 0.00000000185, 6.01438406519, 355.96119389290},
426 { 0.00000000184, 3.34554375681, 95.93104310800},
427 { 0.00000000182, 0.17588831495, 91.78644152380},
428 { 0.00000000172, 4.15140954379, 67.88049988760},
429 { 0.00000000188, 6.17288910532, 535.32003938710},
430 { 0.00000000215, 1.92414563346, 552.69738935910},
431 { 0.00000000166, 5.49038139690, 10135.53500222710},
432 { 0.00000000195, 5.50011081154, 179.31066138440},
433 { 0.00000000209, 5.34065233845, 13.64213866500},
434 { 0.00000000192, 5.83612790963, 987.30864460760},
435 { 0.00000000204, 3.46033533181, 246.97871295090},
436 { 0.00000000174, 1.95010683512, 319.31263096340},
437 { 0.00000000165, 4.00537112057, 493.56366702690},
438 { 0.00000000163, 1.73931497111, 39.50563376150},
439 { 0.00000000173, 3.93200456456, 238.90195810360},
440 { 0.00000000214, 1.44203805516, 340.88276662940},
441 { 0.00000000177, 5.20505417820, 474.94684537520},
442 { 0.00000000193, 0.10674418270, 104.52906281710},
443 { 0.00000000189, 1.11279570541, 1127.26243007680},
444 { 0.00000000193, 2.12636756833, 20350.30502114640},
445 { 0.00000000181, 2.10814562080, 113.87784205160},
446 { 0.00000000165, 2.90285982491, 944.98282327580},
447 { 0.00000000194, 1.13504963784, 57.25549074900},
448 { 0.00000000198, 5.68125942959, 6280.10690457480},
449 { 0.00000000156, 1.44680882209, 524.06189080210},
450 { 0.00000000194, 0.82038638816, 10210.31660079440},
451 { 0.00000000199, 3.01674233707, 461.76228109720},
452 { 0.00000000163, 1.08083105653, 556.51766803760},
453 { 0.00000000205, 4.16096717573, 711.44930703380},
454 { 0.00000000166, 5.82269892726, 363.51668387840},
455 { 0.00000000199, 0.73336150031, 194.28851491140},
456 { 0.00000000168, 0.52839376810, 487.10451133190},
457 { 0.00000000148, 3.49775706709, 447.79581952650},
458 { 0.00000000160, 4.77748329946, 524.01370669230},
459 { 0.00000000200, 4.93953136966, 732.97125859000},
460 { 0.00000000201, 4.60377078221, 142.71028256470},
461 { 0.00000000188, 3.49370600377, 1967.71619053550},
462 { 0.00000000146, 4.99570104768, 142.66209845490},
463 { 0.00000000147, 5.91318176956, 70.11573212130},
464 { 0.00000000158, 4.49935225328, 249.94765836750},
465 { 0.00000000145, 2.01584284819, 282.14280317210},
466 { 0.00000000139, 0.04417506218, 260.99335863140},
467 { 0.00000000176, 0.41786563552, 222.86032299360},
468 { 0.00000000137, 2.96534233094, 6206.80977871580},
469 { 0.00000000138, 1.22183114912, 187.69623277240},
470 { 0.00000000147, 5.47686077634, 15.49911838880},
471 { 0.00000000144, 0.86582247161, 170.97327410620},
472 { 0.00000000158, 1.64284142080, 563.37058260750},
473 { 0.00000000163, 3.40763757343, 46.51860702580},
474 { 0.00000000127, 0.55262902348, 245.49424024260},
475 { 0.00000000131, 1.01890930568, 140.65636088480},
476 { 0.00000000135, 5.22138226920, 439.19779981740},
477 { 0.00000000125, 3.31010747037, 76.78733613740},
478 { 0.00000000127, 2.50788482744, 191.31956949480},
479 { 0.00000000130, 3.04810037778, 310.71461125430},
480 { 0.00000000140, 5.78513367440, 604.73319609280},
481 { 0.00000000155, 3.83835809042, 1512.80682400820},
482 { 0.00000000120, 2.89920382272, 422.40540518200},
483 { 0.00000000147, 3.51503910807, 421.22974901440},
484 { 0.00000000143, 0.29840596863, 259.50888592310},
485 { 0.00000000122, 3.01323328703, 70.84944530420},
486 { 0.00000000142, 4.65284277800, 528.46712481720},
487 { 0.00000000133, 4.59396705758, 497.49582029000},
488 { 0.00000000124, 5.80857038334, 423.67742956920},
489 { 0.00000000119, 5.02901764495, 12489.88562870720},
490 { 0.00000000122, 1.86088175570, 116.53797092750},
491 { 0.00000000111, 0.77447922936, 179.35884549420},
492 { 0.00000000141, 0.18423856688, 131.40394986990},
493 { 0.00000000118, 0.29375056913, 252.08652238160},
494 { 0.00000000125, 1.93416839115, 335.77495719870},
495 { 0.00000000109, 2.39031603899, 305.08553696180},
496 { 0.00000000125, 0.61344782123, 408.17831118040},
497 { 0.00000000142, 0.57310802423, 296.15744885260},
498 { 0.00000000132, 4.76684757273, 353.04043258610},
499 { 0.00000000130, 5.12925248080, 324.72925693480},
500 { 0.00000000115, 1.53744955496, 406.10313764110},
501 { 0.00000000118, 6.09863412341, 169.22816896700},
502 { 0.00000000134, 1.63469028613, 6168.67674307800},
503 { 0.00000000144, 2.02224512289, 589.34595228860},
504 { 0.00000000124, 2.93224816514, 179.61947792510},
505 { 0.00000000139, 5.00897329509, 636.66770846650},
506 { 0.00000000102, 4.57322305433, 85.82729883120},
507 { 0.00000000126, 1.32135490674, 598.79530525960},
508 { 0.00000000102, 4.65261542673, 57.79800747020},
509 { 0.00000000122, 3.73358839778, 104.83787935780},
510 { 0.00000000111, 6.18471084965, 981.63138620530},
511 { 0.00000000117, 1.60090805440, 18.48931566480},
512 { 0.00000000136, 5.63003448986, 525.23754696970},
513 { 0.00000000141, 2.63342759831, 381.61224066830},
514 { 0.00000000133, 1.71663261072, 419.74527630610},
515 { 0.00000000127, 3.05719879887, 10098.88643929760},
516 { 0.00000000110, 5.25051232375, 986.08480433020},
517 { 0.00000000101, 1.40363357063, 213.95348674380},
518 { 0.00000000097, 3.61152071016, 1587.58842257550},
519 { 0.00000000113, 1.13223480146, 604.47256366190},
520 { 0.00000000099, 2.04721879617, 70.58881287330},
521 { 0.00000000119, 2.90157321317, 94.75538694040},
522 { 0.00000000096, 2.31674172036, 227.96813242430},
523 { 0.00000000116, 4.30714911354, 189.83509678650},
524 { 0.00000000106, 2.23888483610, 853.19638175200},
525 { 0.00000000096, 3.86661212196, 240.12579838100},
526 { 0.00000000120, 3.78748778119, 1057.89745748090},
527 { 0.00000000094, 4.82757670972, 392.91857336310},
528 { 0.00000000102, 4.41384282230, 603.24872338450},
529 { 0.00000000100, 2.78834593110, 1017.05610885740},
530 { 0.00000000093, 4.54014018836, 36.69674703930},
531 { 0.00000000107, 0.03653394273, 95.27665180220},
532 { 0.00000000094, 0.80425312383, 432.22726516850},
533 { 0.00000000098, 5.60599279629, 1265.56747862640},
534 { 0.00000000109, 4.83225302495, 235.93301268700},
535 { 0.00000000090, 5.28097582589, 946.46729598410},
536 { 0.00000000096, 1.44316147572, 347.41135829360},
537 { 0.00000000122, 0.77697508887, 332.80601178210},
538 { 0.00000000090, 0.24166205071, 449.23210812500},
539 { 0.00000000095, 2.88593540245, 1511.32235129990},
540 { 0.00000000093, 4.33568012755, 776.93031047640},
541 { 0.00000000110, 0.31702511154, 264.61669535380},
542 { 0.00000000088, 3.51795785198, 316.65250208750},
543 { 0.00000000087, 4.62145192466, 1692.16566950240},
544 { 0.00000000094, 4.21867891011, 1024.21783996800},
545 { 0.00000000094, 1.55501457323, 287.25061260280},
546 { 0.00000000092, 5.57906316341, 448.97147569410},
547 { 0.00000000116, 1.22656968212, 2042.49778910280},
548 { 0.00000000109, 2.15910046916, 289.56516671360},
549 { 0.00000000104, 0.20665805247, 564.85505531580},
550 { 0.00000000092, 5.09319278852, 600.01914553700},
551 { 0.00000000096, 6.14431281930, 1050.99635880120},
552 { 0.00000000081, 1.89134137927, 36.60037881970},
553 { 0.00000000080, 4.38832609440, 10137.01947493540},
554 { 0.00000000111, 2.93920408928, 384.27236954420},
555 { 0.00000000079, 0.97793287738, 76.31425538540},
556 { 0.00000000079, 4.53377022456, 76.21788716580},
557 { 0.00000000090, 5.52318874603, 943.49835056750},
558 { 0.00000000089, 0.86440255505, 398.68077409960},
559 { 0.00000000084, 2.75719331074, 990.22940591440},
560 { 0.00000000105, 3.05022136412, 233.53351624200},
561 { 0.00000000088, 1.11114202915, 103.04459010880},
562 { 0.00000000100, 5.59794770455, 63.47526587250},
563 { 0.00000000083, 1.13342138644, 112.39336934330},
564 { 0.00000000089, 5.47772001536, 515.46387109300},
565 { 0.00000000097, 3.52796776171, 452.20105354160},
566 { 0.00000000102, 4.28702103685, 171.02145821600},
567 { 0.00000000085, 3.12585200036, 1158.28191871380},
568 { 0.00000000085, 1.92685738761, 1082.01584743820},
569 { 0.00000000098, 0.63359633835, 566.60016045500},
570 { 0.00000000092, 4.62229215777, 2043.98226181110},
571 { 0.00000000097, 2.01931678228, 10286.58267207000},
572 { 0.00000000097, 5.84570418188, 477.91579079180},
573 { 0.00000000102, 0.63659106649, 656.70518731440},
574 { 0.00000000084, 0.81307057570, 170.71264167530},
575 { 0.00000000094, 3.69951065430, 523.75307426140},
576 { 0.00000000090, 0.60145820130, 36.76043751410},
577 { 0.00000000086, 2.24624509383, 344.96367773880},
578 { 0.00000000075, 1.25466323333, 378.64329525170},
579 { 0.00000000074, 4.92603243986, 1549.45538693770},
580 { 0.00000000076, 2.23758392622, 1310.81406126500},
581 { 0.00000000076, 1.03858931347, 1234.54798998940},
582 { 0.00000000094, 5.95660239987, 560.71045373160},
583 { 0.00000000086, 3.90953269522, 1436.54075273260},
584 { 0.00000000090, 2.80791662014, 639.63665388310},
585 { 0.00000000091, 0.87037832675, 369.45457471160},
586 { 0.00000000072, 2.86956711212, 134.06407874580},
587 { 0.00000000084, 3.30910046360, 40.84134862350},
588 };
589
590
591 static const struct ln_vsop neptune_longitude_l1[LONG_L1] = {
592 { 38.13303563957, 0.00000000000, 0.00000000000},
593 { 0.00016604172, 4.86323329249, 1.48447270830},
594 { 0.00015744045, 2.27887427527, 38.13303563780},
595 { 0.00001306261, 3.67285209620, 2.96894541660},
596 { 0.00000604842, 1.50483042790, 35.16409022120},
597 { 0.00000182909, 3.45225794434, 39.61750834610},
598 { 0.00000195106, 0.88660326088, 76.26607127560},
599 { 0.00000106410, 2.44986610969, 4.45341812490},
600 { 0.00000105590, 2.75516054635, 33.67961751290},
601 { 0.00000072757, 5.49395347003, 36.64856292950},
602 { 0.00000057069, 5.21649804970, 0.52126486180},
603 { 0.00000029871, 3.67043294114, 388.46515523820},
604 { 0.00000028866, 5.16877538898, 9.56122755560},
605 { 0.00000028742, 5.16732589024, 2.44768055480},
606 { 0.00000025507, 5.24526281928, 168.05251279940},
607 { 0.00000024869, 4.73193067879, 182.27960680100},
608 { 0.00000020205, 5.78945415677, 1021.24889455140},
609 { 0.00000019022, 1.82981144269, 484.44438245600},
610 { 0.00000018661, 1.31606255521, 498.67147645760},
611 { 0.00000015039, 4.94966181697, 137.03302416240},
612 { 0.00000015094, 3.98706934679, 32.19514480460},
613 { 0.00000010804, 1.93261742828, 41.10198105440},
614 { 0.00000010720, 2.44148207341, 4.19278569400},
615 { 0.00000011765, 4.87825331237, 71.81265315070},
616 { 0.00000009363, 3.07523176644, 74.78159856730},
617 { 0.00000009580, 1.23193270898, 5.93789083320},
618 { 0.00000008968, 0.01758782577, 8.07675484730},
619 { 0.00000009882, 6.08165614859, 7.11354700080},
620 { 0.00000006992, 0.61688829918, 2.92076130680},
621 { 0.00000006190, 5.32293546028, 114.39910691340},
622 { 0.00000005543, 2.24141643357, 46.20979048510},
623 { 0.00000005578, 5.45096032574, 73.29712585900},
624 { 0.00000005858, 1.72552768872, 77.75054398390},
625 { 0.00000003225, 4.82619066785, 98.89998852460},
626 { 0.00000003233, 6.10277422759, 70.32818044240},
627 { 0.00000002403, 2.90637675099, 601.76425067620},
628 { 0.00000002398, 1.04343547015, 6.59228213900},
629 { 0.00000002784, 4.95817105045, 108.46121608020},
630 { 0.00000002894, 4.20148844767, 381.35160823740},
631 { 0.00000002111, 5.93089610785, 25.60286266560},
632 { 0.00000002343, 5.38519388332, 111.43016149680},
633 { 0.00000002075, 5.20634366104, 30.71067209630},
634 { 0.00000002126, 0.54976393131, 41.05379694460},
635 { 0.00000001856, 0.89178118176, 24.11838995730},
636 { 0.00000002223, 2.37864617899, 453.42489381900},
637 { 0.00000002018, 3.42245277134, 31.01948863700},
638 { 0.00000001700, 3.91715254179, 11.04570026390},
639 { 0.00000001776, 3.86571077241, 395.57870223900},
640 { 0.00000001646, 3.34591591398, 44.72531777680},
641 { 0.00000001876, 2.59784473507, 33.94024994380},
642 { 0.00000001468, 6.12983933526, 1550.93985964600},
643 { 0.00000001405, 6.13184010665, 490.07345674850},
644 { 0.00000001207, 0.59525736062, 312.19908396260},
645 { 0.00000001607, 0.31467769026, 175.16605980020},
646 { 0.00000001176, 5.87266726996, 5.41662597140},
647 { 0.00000001333, 3.29176219816, 493.04240216510},
648 { 0.00000001037, 4.89007314395, 1.27202438720},
649 { 0.00000001034, 5.93741289103, 32.71640966640},
650 { 0.00000001038, 1.13470380744, 1014.13534755060},
651 { 0.00000001002, 1.85850922283, 5.10780943070},
652 { 0.00000000983, 0.05347709280, 7.42236354150},
653 { 0.00000000998, 1.73689827444, 1028.36244155220},
654 { 0.00000001193, 4.63534810298, 60.76695288680},
655 { 0.00000000940, 3.09103162869, 62.25142559510},
656 { 0.00000000994, 4.11489180313, 4.66586644600},
657 { 0.00000000890, 0.87049255398, 31.23193695810},
658 { 0.00000001218, 3.13917786778, 491.55792945680},
659 { 0.00000000852, 5.35508393873, 144.14657116320},
660 { 0.00000000926, 5.11983602547, 145.10977900970},
661 { 0.00000000789, 0.37496785039, 26.82670294300},
662 { 0.00000000711, 3.14189997439, 278.25883401880},
663 { 0.00000000727, 1.39886876821, 213.29909543800},
664 { 0.00000000781, 0.11084554410, 173.68158709190},
665 { 0.00000000669, 4.50554989404, 27.08733537390},
666 { 0.00000000825, 1.35568911825, 129.91947716160},
667 { 0.00000000738, 3.56612220900, 176.65053250850},
668 { 0.00000000714, 6.24797506961, 106.97674337190},
669 { 0.00000000650, 1.12660516258, 68.84370773410},
670 { 0.00000000624, 0.01563274460, 28.57180808220},
671 { 0.00000000608, 4.60180625368, 189.39315380180},
672 { 0.00000000719, 0.22946487975, 42.58645376270},
673 { 0.00000000530, 5.61201247156, 12.53017297220},
674 { 0.00000000642, 0.70172928732, 529.69096509460},
675 { 0.00000000494, 2.56554862431, 251.43213107580},
676 { 0.00000000526, 3.02138731705, 5.62907429250},
677 { 0.00000000456, 4.44331571392, 43.24084506850},
678 { 0.00000000524, 3.43311475385, 38.65430049960},
679 { 0.00000000436, 2.41601362194, 82.85835341460},
680 { 0.00000000424, 1.95736011325, 477.33083545520},
681 { 0.00000000443, 3.39350944965, 357.44566660120},
682 { 0.00000000401, 0.17854032412, 567.82400073240},
683 { 0.00000000382, 1.90239879977, 22.63391724900},
684 { 0.00000000479, 5.55147421917, 37.61177077600},
685 { 0.00000000462, 3.80436146981, 343.21857259960},
686 { 0.00000000384, 5.60377408953, 594.65070367540},
687 { 0.00000000369, 4.45577410338, 6.90109867970},
688 { 0.00000000358, 3.69126615846, 3.93215326310},
689 { 0.00000000352, 3.10946988482, 135.54855145410},
690 { 0.00000000424, 5.29683941547, 181.75834193920},
691 { 0.00000000361, 0.29019719613, 72.07328558160},
692 { 0.00000000390, 5.49494308738, 350.33211960040},
693 { 0.00000000378, 2.74122401337, 488.37653571910},
694 { 0.00000000372, 0.39980033572, 494.73932319450},
695 { 0.00000000353, 1.10614174053, 20.60692781950},
696 { 0.00000000307, 3.30113579069, 1066.49547719000},
697 { 0.00000000307, 5.39420288683, 160.93896579860},
698 { 0.00000000369, 0.36210011664, 79.23501669220},
699 { 0.00000000395, 1.93577214824, 10137.01947493540},
700 { 0.00000000288, 2.28751244512, 47.69426319340},
701 { 0.00000000291, 3.07789638770, 69.36497259590},
702 { 0.00000000295, 2.48737537240, 19.12245511120},
703 { 0.00000000293, 2.25797853419, 1052.26838318840},
704 { 0.00000000298, 3.57815428349, 40.58071619260},
705 { 0.00000000290, 0.18636083306, 143.62530630140},
706 { 0.00000000274, 2.58630290331, 119.50691634410},
707 { 0.00000000266, 1.21002824826, 505.78502345840},
708 { 0.00000000252, 3.12744980468, 460.53844081980},
709 { 0.00000000328, 0.50849285663, 6206.80977871580},
710 { 0.00000000257, 3.64119923209, 446.31134681820},
711 { 0.00000000239, 5.54080102299, 911.04257333200},
712 { 0.00000000265, 0.62702473701, 253.57099508990},
713 { 0.00000000287, 2.44403568436, 16.67477455640},
714 { 0.00000000231, 2.47183469179, 454.90936652730},
715 { 0.00000000281, 1.48514892087, 983.11585891360},
716 { 0.00000000212, 5.41931177641, 64.95973858080},
717 { 0.00000000213, 1.64175339637, 1089.12939443900},
718 { 0.00000000238, 2.69801319489, 882.94384600180},
719 { 0.00000000210, 4.53976756699, 1093.32218013300},
720 { 0.00000000217, 3.52601381097, 152.53214255120},
721 { 0.00000000216, 5.44223069507, 39.09624348430},
722 { 0.00000000256, 0.42073598460, 23.90594163620},
723 { 0.00000000202, 3.65153361854, 556.51766803760},
724 { 0.00000000224, 4.43751404513, 639.89728631400},
725 { 0.00000000198, 3.24942532936, 10251.41858184880},
726 { 0.00000000191, 0.70266181509, 149.56319713460},
727 { 0.00000000190, 2.64945536417, 984.60033162190},
728 { 0.00000000189, 4.05785534221, 120.99138905240},
729 { 0.00000000184, 2.24245977278, 815.06334611420},
730 { 0.00000000202, 3.43517686770, 45.24658263860},
731 { 0.00000000193, 2.15194865652, 67.35923502580},
732 { 0.00000000175, 4.49165234532, 171.23390653710},
733 { 0.00000000171, 5.50633466316, 179.09821306330},
734 { 0.00000000200, 6.12663205401, 14.22709400160},
735 { 0.00000000173, 2.61074067302, 389.94962794650},
736 { 0.00000000192, 3.17111883673, 868.71675200020},
737 { 0.00000000167, 3.94754384833, 77.22927912210},
738 { 0.00000000166, 3.41009128748, 81.37388070630},
739 { 0.00000000166, 4.89205139167, 872.90953769420},
740 { 0.00000000170, 0.16973531975, 115.88357962170},
741 { 0.00000000161, 2.55224034702, 487.36514376280},
742 { 0.00000000164, 1.49614763031, 63.73589830340},
743 { 0.00000000176, 3.86129425367, 148.33935685720},
744 { 0.00000000171, 2.47073358147, 109.94568878850},
745 { 0.00000000161, 2.22215642318, 574.93754773320},
746 { 0.00000000188, 3.63784698745, 106.01353552540},
747 { 0.00000000171, 0.66899426684, 179.31066138440},
748 { 0.00000000158, 3.36297374123, 285.37238101960},
749 { 0.00000000161, 1.21480182441, 1024.43028828910},
750 { 0.00000000183, 5.45168150656, 218.40690486870},
751 { 0.00000000156, 0.64321524870, 1029.84691426050},
752 { 0.00000000151, 5.30865874765, 348.84764689210},
753 { 0.00000000147, 1.80689177510, 377.41945497430},
754 { 0.00000000193, 2.30767977885, 1447.84708542740},
755 { 0.00000000149, 0.47455340012, 274.06604832480},
756 { 0.00000000137, 2.14480227115, 563.63121503840},
757 { 0.00000000137, 2.60839453958, 354.52490529440},
758 { 0.00000000137, 1.41568352361, 386.98068252990},
759 { 0.00000000136, 1.30429476661, 105.49227066360},
760 { 0.00000000131, 5.83845597009, 419.48464387520},
761 { 0.00000000127, 3.98728588464, 84.34282612290},
762 { 0.00000000142, 1.22597408614, 142.14083359310},
763 { 0.00000000123, 4.43184301227, 211.81462272970},
764 { 0.00000000134, 4.16039500373, 169.53698550770},
765 { 0.00000000121, 0.29301015084, 206.18554843720},
766 { 0.00000000129, 2.67625064707, 180.79513409270},
767 { 0.00000000119, 0.92800049940, 42.32582133180},
768 { 0.00000000119, 4.35793909281, 14.01464568050},
769 { 0.00000000134, 3.18869031781, 166.56804009110},
770 { 0.00000000116, 4.81575725589, 560.71045373160},
771 { 0.00000000135, 5.07450847539, 426.59819087600},
772 { 0.00000000116, 4.29863269938, 138.51749687070},
773 { 0.00000000129, 1.62619100480, 875.83029900100},
774 { 0.00000000132, 2.97512323405, 258.02441321480},
775 { 0.00000000129, 3.64795533299, 183.76407950930},
776 { 0.00000000115, 1.48047840752, 219.89137757700},
777 { 0.00000000116, 6.06435577890, 220.41264243880},
778 { 0.00000000111, 5.34758096393, 670.91677495100},
779 { 0.00000000123, 4.46585892600, 1022.73336725970},
780 { 0.00000000111, 1.56986129352, 531.17543780290},
781 { 0.00000000107, 0.80503196962, 1060.86640289750},
782 { 0.00000000130, 3.49889244997, 799.56422772540},
783 { 0.00000000108, 4.19624502746, 157.63995198190},
784 { 0.00000000116, 5.58946533219, 35.68535508300},
785 { 0.00000000102, 5.42185685225, 79.18683258240},
786 { 0.00000000133, 4.95875659093, 6283.07584999140},
787 { 0.00000000111, 1.45068439598, 433.71173787680},
788 { 0.00000000108, 1.03915893069, 488.58898404020},
789 { 0.00000000108, 2.10259280512, 494.52687487340},
790 { 0.00000000114, 1.95389133455, 91.78644152380},
791 { 0.00000000106, 0.86997192127, 1059.38193018920},
792 { 0.00000000097, 4.22245180427, 67.88049988760},
793 { 0.00000000126, 0.09441818431, 10213.28554621100},
794 { 0.00000000109, 5.76793513384, 518.38463239980},
795 { 0.00000000094, 3.29085817288, 949.17560896980},
796 { 0.00000000090, 0.36813455675, 310.71461125430},
797 { 0.00000000093, 2.03533728562, 10175.15251057320},
798 { 0.00000000093, 1.45987720796, 422.40540518200},
799 { 0.00000000097, 0.74486754369, 485.92885516430},
800 { 0.00000000097, 4.49932032174, 632.78373931320},
801 { 0.00000000095, 5.54259846730, 497.18700374930},
802 { 0.00000000100, 3.82035103648, 110.20632121940},
803 { 0.00000000085, 3.16062166564, 522.57741809380},
804 { 0.00000000097, 6.05634816495, 482.95990974770},
805 { 0.00000000095, 0.23111784604, 500.15594916590},
806 { 0.00000000080, 5.79669381067, 313.68355667090},
807 { 0.00000000084, 2.64687115752, 536.80451209540},
808 { 0.00000000097, 3.21200267248, 97.41551581630},
809 { 0.00000000078, 4.29527108326, 605.95703637020},
810 { 0.00000000082, 2.59093334256, 244.31858407500},
811 { 0.00000000079, 4.56190413535, 361.63845229520},
812 { 0.00000000077, 2.35507598764, 184.72728735580},
813 { 0.00000000073, 3.90646647360, 1019.76442184310},
814 { 0.00000000092, 5.35417312882, 44.07092647100},
815 { 0.00000000097, 1.10874938473, 1371.58101415180},
816 };
817
818
819 static const struct ln_vsop neptune_longitude_l2[LONG_L2] = {
820 { 0.00000286136, 1.18985661922, 38.13303563780},
821 { 0.00000295650, 1.85520880574, 1.48447270830},
822 { 0.00000102284, 0.00000000000, 0.00000000000},
823 { 0.00000022987, 1.21060882957, 2.96894541660},
824 { 0.00000007332, 0.53982718012, 2.44768055480},
825 { 0.00000009112, 4.42541280638, 35.16409022120},
826 { 0.00000005223, 0.67422237527, 168.05251279940},
827 { 0.00000005201, 3.02334762854, 182.27960680100},
828 { 0.00000003925, 3.53215364421, 484.44438245600},
829 { 0.00000003741, 5.90239568618, 498.67147645760},
830 { 0.00000003054, 0.28898269237, 4.45341812490},
831 { 0.00000003382, 5.91086982903, 76.26607127560},
832 { 0.00000003289, 1.84550132467, 175.16605980020},
833 { 0.00000002157, 1.89134644831, 388.46515523820},
834 { 0.00000002211, 4.37947574774, 7.11354700080},
835 { 0.00000001955, 5.15138892758, 33.67961751290},
836 { 0.00000001847, 3.48560457075, 9.56122755560},
837 { 0.00000002436, 4.68322560973, 491.55792945680},
838 { 0.00000001674, 2.55582666306, 36.64856292950},
839 { 0.00000001309, 4.52441960698, 1021.24889455140},
840 { 0.00000001081, 0.38230409887, 137.03302416240},
841 { 0.00000000664, 0.87638209009, 4.19278569400},
842 { 0.00000000516, 6.23450266091, 381.35160823740},
843 { 0.00000000497, 2.24615784762, 395.57870223900},
844 { 0.00000000486, 5.23098153853, 39.61750834610},
845 { 0.00000000582, 5.25717304070, 31.01948863700},
846 { 0.00000000395, 5.45450678888, 5.93789083320},
847 { 0.00000000382, 4.60921220106, 8.07675484730},
848 { 0.00000000435, 0.40412683723, 98.89998852460},
849 { 0.00000000351, 1.32083544720, 601.76425067620},
850 { 0.00000000270, 2.97193645281, 73.29712585900},
851 { 0.00000000247, 2.89695614593, 189.39315380180},
852 { 0.00000000235, 4.11675607570, 114.39910691340},
853 { 0.00000000240, 3.56640034110, 41.10198105440},
854 { 0.00000000242, 4.39232827391, 220.41264243880},
855 { 0.00000000242, 5.56816734078, 343.21857259960},
856 { 0.00000000220, 1.61117582925, 357.44566660120},
857 { 0.00000000215, 1.21535463029, 74.78159856730},
858 { 0.00000000198, 0.53499909652, 64.95973858080},
859 { 0.00000000212, 0.05943058707, 493.04240216510},
860 { 0.00000000206, 0.20022831995, 1028.36244155220},
861 { 0.00000000264, 2.83515920571, 144.14657116320},
862 { 0.00000000187, 0.52144835978, 46.20979048510},
863 { 0.00000000247, 5.85680172451, 1059.38193018920},
864 { 0.00000000228, 0.20021706844, 60.76695288680},
865 { 0.00000000184, 3.01962045713, 1014.13534755060},
866 { 0.00000000177, 3.63909894715, 983.11585891360},
867 { 0.00000000172, 3.66036463613, 477.33083545520},
868 { 0.00000000182, 1.92429336792, 183.76407950930},
869 { 0.00000000171, 3.76746326227, 129.91947716160},
870 { 0.00000000169, 4.91188584697, 166.56804009110},
871 { 0.00000000157, 5.89309507727, 169.53698550770},
872 { 0.00000000194, 1.51802955592, 71.81265315070},
873 { 0.00000000114, 0.48567381491, 419.48464387520},
874 { 0.00000000103, 2.80609907986, 433.71173787680},
875 { 0.00000000093, 0.66549730538, 251.43213107580},
876 { 0.00000000086, 5.12698345709, 567.82400073240},
877 { 0.00000000086, 2.24868532014, 312.19908396260},
878 { 0.00000000079, 2.04262119026, 274.06604832480},
879 };
880
881
882 static const struct ln_vsop neptune_longitude_l3[LONG_L3] = {
883 { 0.00000012472, 6.04427218715, 1.48447270830},
884 { 0.00000011257, 6.11436681584, 38.13303563780},
885 { 0.00000004354, 3.14159265359, 0.00000000000},
886 { 0.00000001390, 4.95198243861, 2.96894541660},
887 { 0.00000000745, 2.37751238105, 168.05251279940},
888 { 0.00000000710, 1.29216892369, 182.27960680100},
889 { 0.00000000540, 5.25465584672, 484.44438245600},
890 { 0.00000000520, 4.18622893104, 498.67147645760},
891 { 0.00000000664, 0.55871435877, 31.01948863700},
892 { 0.00000000301, 2.69253200796, 7.11354700080},
893 { 0.00000000192, 2.01562375989, 137.03302416240},
894 { 0.00000000168, 6.26790496230, 357.44566660120},
895 { 0.00000000183, 4.12898383544, 76.26607127560},
896 { 0.00000000144, 2.84518337934, 460.53844081980},
897 { 0.00000000144, 3.93173694550, 446.31134681820},
898 { 0.00000000108, 3.45112519708, 522.57741809380},
899 { 0.00000000108, 2.36456446266, 536.80451209540},
900 { 0.00000000085, 4.34146183645, 433.71173787680},
901 };
902
903
904 static const struct ln_vsop neptune_latitude_b0[LAT_B0] = {
905 { 0.03088622933, 1.44104372644, 38.13303563780},
906 { 0.00027780087, 5.91271884599, 76.26607127560},
907 { 0.00027623609, 0.00000000000, 0.00000000000},
908 { 0.00015355489, 2.52123799551, 36.64856292950},
909 { 0.00015448133, 3.50877079215, 39.61750834610},
910 { 0.00001999918, 1.50998668632, 74.78159856730},
911 { 0.00001967540, 4.37778196626, 1.48447270830},
912 { 0.00001015137, 3.21560997434, 35.16409022120},
913 { 0.00000605767, 2.80246592015, 73.29712585900},
914 { 0.00000594878, 2.12892696997, 41.10198105440},
915 { 0.00000588806, 3.18655898167, 2.96894541660},
916 { 0.00000401830, 4.16883411107, 114.39910691340},
917 { 0.00000254333, 3.27120475878, 453.42489381900},
918 { 0.00000261647, 3.76722702982, 213.29909543800},
919 { 0.00000279963, 1.68165289071, 77.75054398390},
920 { 0.00000205590, 4.25652269561, 529.69096509460},
921 { 0.00000140455, 3.52969120587, 137.03302416240},
922 { 0.00000098530, 4.16774786185, 33.67961751290},
923 { 0.00000051257, 1.95120897519, 4.45341812490},
924 { 0.00000067971, 4.66970488716, 71.81265315070},
925 { 0.00000041931, 5.41783733708, 111.43016149680},
926 { 0.00000041822, 5.94831807711, 112.91463420510},
927 { 0.00000030637, 0.93620784844, 42.58645376270},
928 { 0.00000011084, 5.88898642607, 108.46121608020},
929 { 0.00000009620, 0.03946190739, 70.32818044240},
930 { 0.00000009664, 0.22454439644, 79.23501669220},
931 { 0.00000009728, 5.30069291338, 32.19514480460},
932 { 0.00000007386, 3.00684969443, 426.59819087600},
933 { 0.00000007087, 0.12539126589, 109.94568878850},
934 { 0.00000006021, 6.20509673404, 115.88357962170},
935 { 0.00000006169, 3.62095364534, 983.11585891360},
936 { 0.00000004778, 0.75209801727, 5.93789083320},
937 { 0.00000006391, 5.84641678934, 148.07872442630},
938 { 0.00000006250, 2.41685076974, 152.53214255120},
939 { 0.00000004538, 5.58174697144, 175.16605980020},
940 { 0.00000005006, 4.60821553923, 1059.38193018920},
941 { 0.00000004289, 4.19647890252, 47.69426319340},
942 { 0.00000005795, 5.07512593683, 415.29185818120},
943 { 0.00000004749, 2.51604900018, 37.61177077600},
944 { 0.00000004119, 1.72780379682, 28.57180808220},
945 { 0.00000004076, 6.00250763264, 145.10977900970},
946 { 0.00000004429, 5.66004129948, 98.89998852460},
947 { 0.00000003950, 2.74109077312, 350.33211960040},
948 { 0.00000004091, 1.61788463987, 39.09624348430},
949 { 0.00000004130, 4.40683058061, 37.16982779130},
950 { 0.00000004710, 3.50928512298, 38.65430049960},
951 { 0.00000004440, 4.78977105547, 38.08485152800},
952 { 0.00000004433, 1.23386935925, 38.18121974760},
953 { 0.00000003762, 4.83946937242, 491.55792945680},
954 { 0.00000002606, 1.20948074983, 451.94042111070},
955 { 0.00000002536, 2.18629981865, 454.90936652730},
956 { 0.00000002328, 5.19777734610, 72.07328558160},
957 { 0.00000002502, 0.85987169644, 106.97674337190},
958 { 0.00000002342, 0.81385415125, 4.19278569400},
959 { 0.00000001981, 0.46628243826, 184.72728735580},
960 { 0.00000001963, 6.01908740123, 44.07092647100},
961 { 0.00000002180, 0.70099749848, 206.18554843720},
962 { 0.00000001814, 3.64693569553, 220.41264243880},
963 { 0.00000001811, 0.40438727680, 40.58071619260},
964 { 0.00000001706, 6.13546176473, 181.75834193920},
965 { 0.00000001855, 5.61617808686, 35.68535508300},
966 { 0.00000001595, 2.97142092029, 37.87240320690},
967 { 0.00000001785, 2.42173650828, 388.46515523820},
968 { 0.00000001595, 3.05261042370, 38.39366806870},
969 { 0.00000001437, 1.48678263330, 135.54855145410},
970 { 0.00000001387, 2.46128498127, 138.51749687070},
971 { 0.00000001367, 1.52035493296, 68.84370773410},
972 { 0.00000001575, 3.58964541604, 38.02116105320},
973 { 0.00000001297, 5.06156596334, 33.94024994380},
974 { 0.00000001487, 0.20211319124, 30.05628079050},
975 { 0.00000001504, 5.80298305102, 46.20979048510},
976 { 0.00000001192, 0.87274762791, 42.32582133180},
977 { 0.00000001569, 2.43405967107, 38.24491022240},
978 { 0.00000001207, 1.84658709550, 251.43213107580},
979 { 0.00000001015, 0.53439848924, 129.91947716160},
980 { 0.00000001000, 2.47430267510, 312.19908396260},
981 { 0.00000000989, 3.41493531823, 144.14657116320},
982 { 0.00000000963, 4.31728030609, 151.04766984290},
983 { 0.00000001020, 0.98204578051, 143.62530630140},
984 { 0.00000000940, 1.02983172757, 221.37585028530},
985 { 0.00000000938, 2.43648016071, 567.82400073240},
986 { 0.00000001111, 0.65217589630, 146.59425171800},
987 { 0.00000000778, 0.00147489924, 218.40690486870},
988 { 0.00000000895, 0.25116382531, 30.71067209630},
989 { 0.00000000795, 5.80508903944, 149.56319713460},
990 { 0.00000000737, 3.40041191615, 446.31134681820},
991 { 0.00000000719, 1.43797240082, 8.07675484730},
992 { 0.00000000720, 0.00651007550, 460.53844081980},
993 { 0.00000000766, 4.03381639032, 522.57741809380},
994 { 0.00000000666, 1.39459333877, 84.34282612290},
995 { 0.00000000584, 1.01405548157, 536.80451209540},
996 { 0.00000000596, 0.62385371171, 35.21227433100},
997 { 0.00000000598, 5.39942003543, 41.05379694460},
998 { 0.00000000475, 5.80146378263, 7.42236354150},
999 { 0.00000000510, 1.34408868529, 258.02441321480},
1000 { 0.00000000458, 5.25296349653, 80.71948940050},
1001 { 0.00000000421, 3.24495106241, 416.77633088950},
1002 { 0.00000000446, 1.19100879284, 180.27386923090},
1003 { 0.00000000472, 0.92703398655, 44.72531777680},
1004 { 0.00000000388, 1.68493201140, 183.24281464750},
1005 { 0.00000000375, 0.15241043424, 255.05546779820},
1006 { 0.00000000354, 4.21553560271, 0.96320784650},
1007 { 0.00000000380, 2.17069237734, 105.49227066360},
1008 { 0.00000000341, 4.79196775965, 110.20632121940},
1009 { 0.00000000427, 5.15774558344, 31.54075349880},
1010 { 0.00000000301, 3.45817005630, 100.38446123290},
1011 { 0.00000000298, 2.26795857315, 639.89728631400},
1012 { 0.00000000279, 0.25689162963, 39.50563376150},
1013 { 0.00000000320, 3.58027351264, 45.24658263860},
1014 { 0.00000000269, 5.72024180826, 36.76043751410},
1015 { 0.00000000247, 0.60910176939, 186.21176006410},
1016 { 0.00000000245, 0.64173616285, 419.48464387520},
1017 { 0.00000000235, 0.73189197672, 10213.28554621100},
1018 { 0.00000000232, 0.37399769205, 490.07345674850},
1019 { 0.00000000230, 5.76579551439, 12.53017297220},
1020 { 0.00000000240, 4.13474003423, 0.52126486180},
1021 { 0.00000000279, 1.62813369297, 294.67297614430},
1022 { 0.00000000238, 2.18530921569, 219.89137757700},
1023 { 0.00000000262, 3.08411150984, 6.59228213900},
1024 { 0.00000000217, 2.93258397672, 27.08733537390},
1025 { 0.00000000217, 4.69259794345, 406.10313764110},
1026 { 0.00000000219, 1.35160367448, 216.92243216040},
1027 { 0.00000000200, 2.35228881303, 605.95703637020},
1028 { 0.00000000232, 3.92583619589, 1512.80682400820},
1029 { 0.00000000223, 5.52411141993, 187.69623277240},
1030 { 0.00000000190, 0.29170678080, 291.70403072770},
1031 { 0.00000000236, 3.12468256482, 563.63121503840},
1032 { 0.00000000193, 0.53307912023, 60.76695288680},
1033 { 0.00000000215, 3.78391258991, 103.09277421860},
1034 { 0.00000000172, 5.63262770751, 7.11354700080},
1035 { 0.00000000164, 4.14647236992, 77.22927912210},
1036 { 0.00000000162, 0.71904053601, 11.04570026390},
1037 { 0.00000000160, 4.23625258528, 487.36514376280},
1038 { 0.00000000191, 0.37601781666, 31.01948863700},
1039 { 0.00000000157, 1.02419759383, 6283.07584999140},
1040 { 0.00000000157, 4.42530429545, 6206.80977871580},
1041 { 0.00000000178, 6.24797160212, 316.39186965660},
1042 { 0.00000000161, 5.65988283675, 343.21857259960},
1043 { 0.00000000153, 5.58414765899, 252.08652238160},
1044 { 0.00000000189, 4.80791039970, 641.12112659140},
1045 { 0.00000000166, 5.50438043690, 662.53120356300},
1046 { 0.00000000146, 5.08949604858, 286.59622129700},
1047 { 0.00000000145, 2.13015521882, 2042.49778910280},
1048 { 0.00000000156, 2.19405770242, 274.06604832480},
1049 { 0.00000000148, 4.85749820683, 442.75170057060},
1050 { 0.00000000187, 4.96121139093, 1589.07289528380},
1051 { 0.00000000155, 2.28259405687, 142.14083359310},
1052 { 0.00000000134, 1.29277232397, 456.39383923560},
1053 { 0.00000000126, 5.59769497652, 179.35884549420},
1054 { 0.00000000146, 2.53463818201, 256.53994050650},
1055 { 0.00000000140, 1.57962199938, 75.74480641380},
1056 { 0.00000000123, 0.05437698562, 944.98282327580},
1057 { 0.00000000122, 1.90676170566, 418.26080359780},
1058 { 0.00000000154, 1.86816969261, 331.32153907380},
1059 { 0.00000000144, 5.52321332407, 14.01464568050},
1060 { 0.00000000139, 2.80726892154, 82.85835341460},
1061 { 0.00000000107, 0.66980589221, 190.66517818900},
1062 { 0.00000000114, 1.48896223432, 253.57099508990},
1063 { 0.00000000110, 5.32587573069, 240.12579838100},
1064 { 0.00000000105, 0.65340064265, 173.68158709190},
1065 { 0.00000000102, 2.58735834098, 450.45594840240},
1066 { 0.00000000099, 0.43935555771, 328.35259365720},
1067 { 0.00000000101, 4.71130182307, 117.36805233000},
1068 { 0.00000000095, 2.17590506749, 101.86893394120},
1069 { 0.00000000094, 0.55008356412, 293.18850343600},
1070 { 0.00000000093, 0.63642129305, 377.15882254340},
1071 { 0.00000000091, 5.84828809934, 10137.01947493540},
1072 { 0.00000000089, 1.02829282520, 1021.24889455140},
1073 { 0.00000000094, 1.79318047295, 493.04240216510},
1074 { 0.00000000080, 1.58140274465, 69.15252427480},
1075 { 0.00000000074, 0.23362667562, 63.73589830340},
1076 { 0.00000000071, 1.51961975694, 488.58898404020},
1077 };
1078
1079
1080 static const struct ln_vsop neptune_latitude_b1[LAT_B1] = {
1081 { 0.00005150897, 2.14270496419, 38.13303563780},
1082 { 0.00000258298, 5.46539598920, 76.26607127560},
1083 { 0.00000251862, 4.40444268588, 36.64856292950},
1084 { 0.00000234436, 1.65983511437, 39.61750834610},
1085 { 0.00000208814, 0.00000000000, 0.00000000000},
1086 { 0.00000025312, 6.00917621033, 35.16409022120},
1087 { 0.00000017795, 4.95721064558, 213.29909543800},
1088 { 0.00000017841, 0.44821000048, 41.10198105440},
1089 { 0.00000013152, 1.49958304388, 529.69096509460},
1090 { 0.00000010729, 4.39946094022, 73.29712585900},
1091 { 0.00000008422, 1.55833887152, 2.96894541660},
1092 { 0.00000005650, 2.15782280490, 74.78159856730},
1093 { 0.00000005164, 3.68693766150, 114.39910691340},
1094 { 0.00000005439, 0.26747546514, 77.75054398390},
1095 { 0.00000004883, 5.47281451218, 1.48447270830},
1096 { 0.00000001863, 5.45718239014, 71.81265315070},
1097 { 0.00000001956, 0.59394993708, 33.67961751290},
1098 { 0.00000001486, 0.26979020045, 4.45341812490},
1099 { 0.00000001482, 5.46695876828, 42.58645376270},
1100 { 0.00000000881, 4.07805940363, 37.61177077600},
1101 { 0.00000000881, 1.94513348170, 38.65430049960},
1102 { 0.00000000851, 2.39564495000, 206.18554843720},
1103 { 0.00000000606, 1.99397575028, 220.41264243880},
1104 { 0.00000000552, 2.27385531237, 137.03302416240},
1105 { 0.00000000425, 5.31717031249, 112.91463420510},
1106 { 0.00000000444, 1.89596154412, 40.58071619260},
1107 { 0.00000000405, 2.23350335799, 129.91947716160},
1108 { 0.00000000445, 1.89735718846, 47.69426319340},
1109 { 0.00000000390, 3.00112052361, 111.43016149680},
1110 { 0.00000000444, 4.12778640748, 35.68535508300},
1111 { 0.00000000390, 1.72106368725, 144.14657116320},
1112 { 0.00000000447, 4.12632050294, 28.57180808220},
1113 { 0.00000000385, 0.60554020191, 426.59819087600},
1114 { 0.00000000443, 0.66667071474, 350.33211960040},
1115 { 0.00000000413, 2.53628535203, 453.42489381900},
1116 { 0.00000000322, 2.78214046965, 983.11585891360},
1117 { 0.00000000294, 5.10116120513, 446.31134681820},
1118 { 0.00000000332, 2.57248850528, 1059.38193018920},
1119 { 0.00000000288, 4.58741150748, 460.53844081980},
1120 { 0.00000000288, 0.74693614733, 70.32818044240},
1121 { 0.00000000275, 1.46123635585, 175.16605980020},
1122 { 0.00000000237, 6.26990493578, 522.57741809380},
1123 { 0.00000000254, 5.45401514230, 536.80451209540},
1124 { 0.00000000228, 2.46457859271, 98.89998852460},
1125 { 0.00000000204, 5.30009848697, 5.93789083320},
1126 { 0.00000000142, 1.52594076364, 109.94568878850},
1127 { 0.00000000167, 5.03534602485, 79.23501669220},
1128 { 0.00000000133, 2.11377639696, 152.53214255120},
1129 { 0.00000000082, 3.63263716103, 491.55792945680},
1130 };
1131
1132
1133 static const struct ln_vsop neptune_latitude_b2[LAT_B2] = {
1134 { 0.00000042058, 1.91480759314, 38.13303563780},
1135 { 0.00000004359, 4.77459417163, 39.61750834610},
1136 { 0.00000004230, 1.12991232222, 36.64856292950},
1137 { 0.00000004166, 4.37185631758, 76.26607127560},
1138 { 0.00000001235, 0.13036455232, 213.29909543800},
1139 { 0.00000000905, 3.05640125957, 529.69096509460},
1140 { 0.00000000743, 3.14159265359, 0.00000000000},
1141 { 0.00000000380, 1.70771699530, 35.16409022120},
1142 { 0.00000000328, 4.23287817216, 41.10198105440},
1143 { 0.00000000188, 1.15191208244, 220.41264243880},
1144 { 0.00000000132, 4.73251124812, 206.18554843720},
1145 { 0.00000000084, 3.93928282212, 129.91947716160},
1146 { 0.00000000080, 0.01151271706, 144.14657116320},
1147 };
1148
1149
1150 static const struct ln_vsop neptune_latitude_b3[LAT_B3] = {
1151 { 0.00000004131, 3.06928911462, 38.13303563780},
1152 { 0.00000000143, 4.00453590187, 36.64856292950},
1153 };
1154
1155
1156 static const struct ln_vsop neptune_radius_r0[RADIUS_R0] = {
1157 { 30.07013205828, 0.00000000000, 0.00000000000},
1158 { 0.27062259632, 1.32999459377, 38.13303563780},
1159 { 0.01691764014, 3.25186135653, 36.64856292950},
1160 { 0.00807830553, 5.18592878704, 1.48447270830},
1161 { 0.00537760510, 4.52113935896, 35.16409022120},
1162 { 0.00495725141, 1.57105641650, 491.55792945680},
1163 { 0.00274571975, 1.84552258866, 175.16605980020},
1164 { 0.00135134092, 3.37220609835, 39.61750834610},
1165 { 0.00121801746, 5.79754470298, 76.26607127560},
1166 { 0.00100896068, 0.37702724930, 73.29712585900},
1167 { 0.00069791331, 3.79616637768, 2.96894541660},
1168 { 0.00046687836, 5.74938034313, 33.67961751290},
1169 { 0.00024594531, 0.50801745878, 109.94568878850},
1170 { 0.00016939478, 1.59422512526, 71.81265315070},
1171 { 0.00014229808, 1.07785898723, 74.78159856730},
1172 { 0.00012012320, 1.92059384991, 1021.24889455140},
1173 { 0.00008394349, 0.67818233586, 146.59425171800},
1174 { 0.00007571796, 1.07149207335, 388.46515523820},
1175 { 0.00005720872, 2.59061733345, 4.45341812490},
1176 { 0.00004840210, 1.90681013048, 41.10198105440},
1177 { 0.00004483493, 2.90573464537, 529.69096509460},
1178 { 0.00004269595, 3.41333526870, 453.42489381900},
1179 { 0.00004353588, 0.67984856103, 32.19514480460},
1180 { 0.00004420549, 1.74990681127, 108.46121608020},
1181 { 0.00002879755, 1.98627174527, 137.03302416240},
1182 { 0.00002635535, 3.09755951044, 213.29909543800},
1183 { 0.00003381113, 0.84810966225, 183.24281464750},
1184 { 0.00002877511, 3.67417203197, 350.33211960040},
1185 { 0.00002306505, 2.80964587883, 70.32818044240},
1186 { 0.00002529939, 5.79822254729, 490.07345674850},
1187 { 0.00002522868, 0.48612122962, 493.04240216510},
1188 { 0.00002085926, 0.61853857468, 33.94024994380},
1189 { 0.00001976522, 5.11703044560, 168.05251279940},
1190 { 0.00001904055, 1.72165893329, 182.27960680100},
1191 { 0.00001653525, 1.92781987560, 145.10977900970},
1192 { 0.00001434507, 1.69985856533, 484.44438245600},
1193 { 0.00001403029, 4.58914203187, 498.67147645760},
1194 { 0.00001499989, 1.01619882251, 219.89137757700},
1195 { 0.00001397976, 0.76199761055, 176.65053250850},
1196 { 0.00001402764, 6.07659120736, 173.68158709190},
1197 { 0.00001128278, 5.96666460978, 9.56122755560},
1198 { 0.00001228058, 1.59915900158, 77.75054398390},
1199 { 0.00000835562, 3.97050539397, 114.39910691340},
1200 { 0.00000811407, 3.00264146159, 46.20979048510},
1201 { 0.00000731543, 2.10445780662, 181.75834193920},
1202 { 0.00000615618, 2.97867866529, 106.97674337190},
1203 { 0.00000703453, 1.18748208693, 256.53994050650},
1204 { 0.00000501955, 1.38654746863, 5.93789083320},
1205 { 0.00000530475, 4.24112162150, 111.43016149680},
1206 { 0.00000437096, 2.27029212923, 1550.93985964600},
1207 { 0.00000399906, 1.25612321821, 8.07675484730},
1208 { 0.00000420992, 1.89248234590, 30.71067209630},
1209 { 0.00000382461, 3.29964092733, 983.11585891360},
1210 { 0.00000422891, 5.53099620330, 525.49817940060},
1211 { 0.00000355064, 2.27873080286, 218.40690486870},
1212 { 0.00000281092, 4.54185193503, 44.72531777680},
1213 { 0.00000314499, 3.95932948594, 381.35160823740},
1214 { 0.00000279604, 1.54525386438, 98.89998852460},
1215 { 0.00000268088, 5.13448119540, 112.91463420510},
1216 { 0.00000333260, 5.75014889084, 39.09624348430},
1217 { 0.00000291773, 4.02405440052, 68.84370773410},
1218 { 0.00000321430, 1.50624339061, 454.90936652730},
1219 { 0.00000309200, 2.85451259377, 72.07328558160},
1220 { 0.00000345541, 1.35801933629, 293.18850343600},
1221 { 0.00000307360, 0.31939966593, 601.76425067620},
1222 { 0.00000251026, 3.54039557458, 312.19908396260},
1223 { 0.00000248151, 3.41078778961, 37.61177077600},
1224 { 0.00000306000, 2.72475094464, 6244.94281435360},
1225 { 0.00000293530, 4.89079714624, 528.20649238630},
1226 { 0.00000234148, 0.59107513684, 42.58645376270},
1227 { 0.00000239159, 3.15940174394, 143.62530630140},
1228 { 0.00000214523, 3.62480267276, 278.25883401880},
1229 { 0.00000246198, 1.01506302015, 141.22580985640},
1230 { 0.00000174151, 5.54934515763, 567.82400073240},
1231 { 0.00000163736, 2.09772553888, 2.44768055480},
1232 { 0.00000162895, 2.48942845886, 4.19278569400},
1233 { 0.00000193252, 1.58538835107, 138.51749687070},
1234 { 0.00000155321, 3.28425560727, 31.01948863700},
1235 { 0.00000182280, 2.45335941387, 255.05546779820},
1236 { 0.00000177846, 4.14773474853, 10175.15251057320},
1237 { 0.00000174672, 1.53072472355, 329.83706636550},
1238 { 0.00000137774, 3.34926113123, 0.96320784650},
1239 { 0.00000160922, 5.16388154007, 211.81462272970},
1240 { 0.00000113312, 4.96838153028, 148.07872442630},
1241 { 0.00000129107, 3.25539370530, 24.11838995730},
1242 { 0.00000122785, 5.39724696402, 62.25142559510},
1243 { 0.00000107361, 3.26459113010, 1059.38193018920},
1244 { 0.00000119951, 3.07428550584, 184.72728735580},
1245 { 0.00000099006, 1.92575084098, 28.57180808220},
1246 { 0.00000097710, 2.59473517954, 6.59228213900},
1247 { 0.00000123604, 3.11899453253, 221.37585028530},
1248 { 0.00000124693, 2.97042402154, 251.43213107580},
1249 { 0.00000114252, 0.25039919123, 594.65070367540},
1250 { 0.00000110984, 3.34269023552, 180.27386923090},
1251 { 0.00000120812, 1.92944484022, 25.60286266560},
1252 { 0.00000104667, 0.94883561775, 395.57870223900},
1253 { 0.00000109779, 5.43147613574, 494.52687487340},
1254 { 0.00000096919, 0.86184760695, 1014.13534755060},
1255 { 0.00000098685, 0.89578101892, 488.58898404020},
1256 { 0.00000088965, 4.78114888597, 144.14657116320},
1257 { 0.00000107888, 0.98700578434, 1124.34166877000},
1258 { 0.00000097074, 2.62665185334, 291.70403072770},
1259 { 0.00000075666, 5.88963758122, 43.24084506850},
1260 { 0.00000093718, 6.09873436871, 526.72201967800},
1261 { 0.00000094822, 0.20662771116, 456.39383923560},
1262 { 0.00000069954, 2.39614984454, 426.59819087600},
1263 { 0.00000089656, 3.25464366223, 258.02441321480},
1264 { 0.00000076880, 4.20394189510, 105.49227066360},
1265 { 0.00000069133, 4.93031154435, 1028.36244155220},
1266 { 0.00000090474, 1.69635495867, 366.48562929500},
1267 { 0.00000073446, 3.14305202700, 82.85835341460},
1268 { 0.00000057870, 0.85902654510, 60.76695288680},
1269 { 0.00000078695, 1.09307575550, 700.66423920080},
1270 { 0.00000055696, 3.89047184339, 47.69426319340},
1271 { 0.00000063218, 4.39571226649, 149.56319713460},
1272 { 0.00000056877, 0.81233112899, 2.92076130680},
1273 { 0.00000056765, 5.14903738264, 0.52126486180},
1274 { 0.00000056174, 5.42986960794, 911.04257333200},
1275 { 0.00000061746, 6.16453594476, 1019.76442184310},
1276 { 0.00000070668, 0.08154675285, 40.58071619260},
1277 { 0.00000074941, 4.85541117469, 186.21176006410},
1278 { 0.00000062137, 4.79000169130, 11.04570026390},
1279 { 0.00000061135, 0.83712327235, 1022.73336725970},
1280 { 0.00000061658, 5.70207975404, 178.13500521680},
1281 { 0.00000053467, 0.37111991212, 27.08733537390},
1282 { 0.00000056400, 3.52361228973, 216.92243216040},
1283 { 0.00000048819, 5.10789123481, 64.95973858080},
1284 { 0.00000063989, 6.27428332013, 7.11354700080},
1285 { 0.00000063290, 4.39424910030, 807.94979911340},
1286 { 0.00000046355, 1.34731122935, 451.94042111070},
1287 { 0.00000060544, 3.40308211679, 294.67297614430},
1288 { 0.00000057140, 0.44713393582, 140.00196957900},
1289 { 0.00000046891, 0.16868575852, 7.42236354150},
1290 { 0.00000053760, 2.79644964300, 328.35259365720},
1291 { 0.00000056110, 1.06133412372, 172.19711438360},
1292 { 0.00000043828, 6.04649305744, 135.54855145410},
1293 { 0.00000049546, 0.64111181985, 41.05379694460},
1294 { 0.00000054352, 2.92484004653, 563.63121503840},
1295 { 0.00000042962, 5.40180687766, 487.36514376280},
1296 { 0.00000051507, 0.09101955359, 210.33015002140},
1297 { 0.00000042022, 3.11630465723, 29.22619938800},
1298 { 0.00000047855, 3.90929080860, 63.73589830340},
1299 { 0.00000041545, 6.27971504434, 32.71640966640},
1300 { 0.00000041412, 4.45532728136, 37.16982779130},
1301 { 0.00000040691, 0.15392324705, 79.23501669220},
1302 { 0.00000048205, 1.84198373010, 403.13419222450},
1303 { 0.00000036975, 0.44979453927, 30.05628079050},
1304 { 0.00000047762, 0.88083849566, 3302.47939106200},
1305 { 0.00000039465, 3.50565537871, 357.44566660120},
1306 { 0.00000042139, 0.63375113641, 343.21857259960},
1307 { 0.00000042780, 3.55125610401, 38.65430049960},
1308 { 0.00000038995, 5.26486175542, 415.29185818120},
1309 { 0.00000038872, 5.25715558452, 386.98068252990},
1310 { 0.00000040508, 1.36656945746, 31.23193695810},
1311 { 0.00000033786, 5.23988634904, 67.35923502580},
1312 { 0.00000040879, 3.55298595767, 331.32153907380},
1313 { 0.00000038768, 1.12288359393, 38.18121974760},
1314 { 0.00000036962, 6.08599078489, 35.42472265210},
1315 { 0.00000038831, 4.67876780698, 38.08485152800},
1316 { 0.00000038231, 6.26491109393, 389.94962794650},
1317 { 0.00000031356, 0.07745279153, 12.53017297220},
1318 { 0.00000026341, 4.59559782764, 106.01353552540},
1319 { 0.00000029746, 4.45828452713, 22.63391724900},
1320 { 0.00000027465, 5.99541587686, 206.18554843720},
1321 { 0.00000026195, 4.49611532896, 34.20088237470},
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1623 { 0.00000002959, 1.23012121982, 2500.11546861580},
1624 { 0.00000003330, 6.12470287875, 10172.18356515660},
1625 { 0.00000003361, 4.31837298696, 492.07919431860},
1626 { 0.00000003294, 2.52694043155, 1692.16566950240},
1627 { 0.00000003013, 0.92957285991, 1515.77576942480},
1628 { 0.00000003403, 1.10932483984, 987.30864460760},
1629 { 0.00000003312, 0.67710158807, 977.48678462110},
1630 { 0.00000003030, 1.77996261146, 156489.28581380738},
1631 { 0.00000003605, 4.89955108152, 1043.88281180040},
1632 { 0.00000003276, 4.26765608367, 1189.30140735080},
1633 { 0.00000002966, 5.29808076929, 31.98269648350},
1634 { 0.00000002994, 2.58599359402, 178.08682110700},
1635 { 0.00000003905, 1.87748122254, 1158.28191871380},
1636 { 0.00000003110, 3.09203517638, 235.93301268700},
1637 { 0.00000003313, 2.70308129756, 604.47256366190},
1638 { 0.00000003276, 1.24440460327, 874.65464283340},
1639 { 0.00000003276, 5.58544609667, 950.92071410900},
1640 { 0.00000002863, 5.30797202030, 449.23210812500},
1641 { 0.00000003746, 0.33859914037, 913.96333463880},
1642 { 0.00000003552, 3.07180917863, 240.38643081190},
1643 { 0.00000002885, 6.01129889094, 1097.51496582700},
1644 { 0.00000003643, 5.11977873355, 452.20105354160},
1645 { 0.00000002761, 4.05534163585, 6283.07584999140},
1646 { 0.00000003226, 4.76711354367, 6241.97386893700},
1647 { 0.00000002988, 5.62906786113, 140.65636088480},
1648 { 0.00000003748, 4.84009347869, 341.73409989130},
1649 { 0.00000003847, 2.40982343643, 26086.41866886590},
1650 { 0.00000002702, 3.72061244391, 946.46729598410},
1651 { 0.00000002846, 4.90997675486, 488.84961647110},
1652 { 0.00000002723, 4.37517047024, 15.19030184810},
1653 { 0.00000002847, 5.22951186538, 661.04673085470},
1654 { 0.00000002680, 4.19379121323, 13.18456427800},
1655 { 0.00000003269, 0.43119778520, 496.97455542820},
1656 { 0.00000002878, 5.00361557843, 252.08652238160},
1657 { 0.00000003489, 3.82213189319, 625.99451521810},
1658 { 0.00000003742, 2.03372773652, 8.59801970910},
1659 { 0.00000003341, 2.91360557418, 304.23420369990},
1660 { 0.00000002915, 2.63627684599, 6681.22485339960},
1661 { 0.00000002915, 1.43773625890, 6604.95878212400},
1662 { 0.00000002629, 2.09824407450, 2713.41456405380},
1663 { 0.00000002901, 3.33924800230, 515.46387109300},
1664 { 0.00000002803, 1.23584865903, 6643.09181776180},
1665 { 0.00000002621, 3.27309087943, 483.48117460950},
1666 { 0.00000003045, 3.33515866438, 921.07688163960},
1667 { 0.00000002699, 5.42597794650, 925.26966733360},
1668 { 0.00000002808, 5.77870303237, 1024.21783996800},
1669 { 0.00000003028, 3.75501312393, 511.59540830470},
1670 { 0.00000003090, 2.49453093252, 14.66903698630},
1671 { 0.00000002630, 0.62190616803, 990.22940591440},
1672 { 0.00000002913, 4.83296711477, 515.93695184500},
1673 { 0.00000003139, 5.99134254710, 570.74476203920},
1674 { 0.00000002752, 3.08268180744, 853.19638175200},
1675 { 0.00000002643, 1.99093797444, 470.21728845440},
1676 { 0.00000002763, 4.01095972177, 448.97147569410},
1677 { 0.00000003426, 4.73955481174, 1050.99635880120},
1678 { 0.00000002613, 5.04769883328, 175.21424391000},
1679 { 0.00000003080, 1.08651068269, 260.99335863140},
1680 { 0.00000002605, 1.78290020063, 175.11787569040},
1681 { 0.00000002573, 2.01267457287, 1514.29129671650},
1682 { 0.00000002633, 1.63639954931, 170.71264167530},
1683 { 0.00000003025, 5.51446170055, 369.45457471160},
1684 { 0.00000002490, 0.15301603966, 78187.44335344699},
1685 { 0.00000002589, 0.79196093766, 1228.91891569690},
1686 { 0.00000003493, 3.88006738730, 495.70253104100},
1687 { 0.00000003143, 5.33170343283, 1542.34183993690},
1688 { 0.00000002816, 3.74486418363, 2.00573757010},
1689 { 0.00000003062, 4.88018345098, 227.96813242430},
1690 { 0.00000002971, 1.27359129352, 530.91480537200},
1691 { 0.00000003329, 2.71693827722, 171.02145821600},
1692 { 0.00000002648, 0.60304386920, 70.58881287330},
1693 { 0.00000003061, 5.05044834864, 378.64329525170},
1694 { 0.00000002738, 4.75405645015, 151.26011816400},
1695 { 0.00000002727, 5.89140709596, 213.95348674380},
1696 { 0.00000003411, 2.24137878065, 734.45573129830},
1697 { 0.00000002623, 0.54340876464, 1586.10394986720},
1698 { 0.00000003169, 5.84871429991, 1049.51188609290},
1699 { 0.00000002430, 2.34597429597, 450.45594840240},
1700 { 0.00000002907, 5.58085498481, 597.57146498220},
1701 { 0.00000003060, 5.27973140962, 523.75307426140},
1702 { 0.00000003300, 0.94221473935, 58.17051448570},
1703 { 0.00000002606, 4.76989264753, 391.43410065480},
1704 { 0.00000003175, 2.32600231924, 339.28641933650},
1705 { 0.00000003112, 4.24784219323, 1615.89959822680},
1706 { 0.00000003340, 1.36950315448, 384.27236954420},
1707 { 0.00000003301, 5.83023910521, 51.77517430280},
1708 { 0.00000002415, 0.69446923670, 489.55219188670},
1709 { 0.00000003310, 5.55595218696, 674.80074410430},
1710 { 0.00000002736, 5.74320864965, 1167.84314626940},
1711 { 0.00000002956, 5.22962139507, 199.85389872910},
1712 { 0.00000003262, 0.01501002027, 1545.31078535350},
1713 { 0.00000002506, 4.84043333582, 943.49835056750},
1714 { 0.00000003240, 2.46676155925, 1016.79547642650},
1715 { 0.00000003148, 4.62079057738, 233.53351624200},
1716 { 0.00000002327, 4.10421417326, 70.11573212130},
1717 { 0.00000002371, 4.79963943424, 271.14528701800},
1718 { 0.00000003006, 3.66877796077, 1476.15826107870},
1719 { 0.00000003033, 0.67157488690, 292.48592802040},
1720 { 0.00000002344, 1.83547256266, 492.30868898220},
1721 { 0.00000003117, 2.76268894894, 1473.18931566210},
1722 { 0.00000002323, 2.88799980853, 533.62311835770},
1723 { 0.00000002340, 4.44862573253, 490.80716993140},
1724 { 0.00000002919, 4.75889516601, 1511.32235129990},
1725 { 0.00000002493, 6.10541658597, 1225.94997028030},
1726 { 0.00000002691, 3.20679023131, 463.50738623640},
1727 { 0.00000002291, 5.81535163158, 246.97871295090},
1728 { 0.00000002319, 6.05514281470, 525.75881183150},
1729 { 0.00000003112, 0.89712836583, 314.90739694830},
1730 { 0.00000003085, 5.84605938859, 1192.22216865760},
1731 { 0.00000002897, 0.54747024257, 20350.30502114640},
1732 { 0.00000002469, 3.75373347656, 494.00561001160},
1733 { 0.00000003067, 2.22210324061, 248.46318565920},
1734 { 0.00000002252, 0.87483094907, 61.02758531770},
1735 { 0.00000002392, 3.62837597194, 439.19779981740},
1736 { 0.00000002817, 2.73562306571, 16.67477455640},
1737 { 0.00000002379, 6.17876088396, 467.65198782060},
1738 { 0.00000002607, 4.82656583469, 384.58118608490},
1739 { 0.00000002718, 1.01823841209, 215.95922431390},
1740 { 0.00000002998, 1.09755715300, 1964.74724511890},
1741 { 0.00000002883, 2.97813866507, 383.09671337660},
1742 { 0.00000002529, 5.81554218602, 1587.58842257550},
1743 { 0.00000002203, 2.23336308907, 481.26298871830},
1744 { 0.00000002260, 2.35404913660, 659.61044225620},
1745 { 0.00000002173, 4.95048919972, 76.78733613740},
1746 { 0.00000002491, 1.70236357070, 445.34813897170},
1747 { 0.00000002164, 4.91477263756, 249.94765836750},
1748 { 0.00000002289, 1.18497528002, 1552.42433235430},
1749 { 0.00000002975, 0.48272389481, 1052.48083150950},
1750 { 0.00000002339, 0.75318738767, 478.81530816350},
1751 { 0.00000003011, 0.16359500858, 54.28654533240},
1752 { 0.00000003011, 1.03494557852, 21.97952594320},
1753 };
1754
1755
1756 static const struct ln_vsop neptune_radius_r1[RADIUS_R1] = {
1757 { 0.00236338618, 0.70497954792, 38.13303563780},
1758 { 0.00013220034, 3.32014387930, 1.48447270830},
1759 { 0.00008621779, 6.21626927537, 35.16409022120},
1760 { 0.00002701587, 1.88124996531, 39.61750834610},
1761 { 0.00002153060, 5.16877044933, 76.26607127560},
1762 { 0.00002154170, 2.09430333390, 2.96894541660},
1763 { 0.00001463314, 1.18410155089, 33.67961751290},
1764 { 0.00001603164, 0.00000000000, 0.00000000000},
1765 { 0.00001135663, 3.91905853528, 36.64856292950},
1766 { 0.00000897650, 5.24122933533, 388.46515523820},
1767 { 0.00000789359, 0.53295000718, 168.05251279940},
1768 { 0.00000760030, 0.02051033644, 182.27960680100},
1769 { 0.00000607183, 1.07706500350, 1021.24889455140},
1770 { 0.00000571622, 3.40060785432, 484.44438245600},
1771 { 0.00000560790, 2.88685815667, 498.67147645760},
1772 { 0.00000489973, 3.46822250901, 137.03302416240},
1773 { 0.00000264197, 0.86149368602, 4.45341812490},
1774 { 0.00000270304, 3.27489604455, 71.81265315070},
1775 { 0.00000203512, 2.41823214253, 32.19514480460},
1776 { 0.00000155180, 0.36515053081, 41.10198105440},
1777 { 0.00000132766, 3.60157672619, 9.56122755560},
1778 { 0.00000093942, 0.66658493388, 46.20979048510},
1779 { 0.00000083697, 3.26305475932, 98.89998852460},
1780 { 0.00000072205, 4.47717435693, 601.76425067620},
1781 { 0.00000068777, 1.46946530374, 74.78159856730},
1782 { 0.00000086953, 5.77228651853, 381.35160823740},
1783 { 0.00000068138, 4.52508272214, 70.32818044240},
1784 { 0.00000065250, 3.85934463923, 73.29712585900},
1785 { 0.00000068370, 3.39513994400, 108.46121608020},
1786 { 0.00000053375, 5.43650770516, 395.57870223900},
1787 { 0.00000043910, 3.61564394950, 2.44768055480},
1788 { 0.00000041546, 4.74846317654, 8.07675484730},
1789 { 0.00000048724, 1.98932271543, 175.16605980020},
1790 { 0.00000041744, 4.94257598763, 31.01948863700},
1791 { 0.00000044102, 1.41744904844, 1550.93985964600},
1792 { 0.00000041170, 1.41999405024, 490.07345674850},
1793 { 0.00000041099, 4.86312668872, 493.04240216510},
1794 { 0.00000036267, 5.30764043577, 312.19908396260},
1795 { 0.00000036321, 0.38296932117, 77.75054398390},
1796 { 0.00000040928, 2.27526815371, 529.69096509460},
1797 { 0.00000032141, 5.91285874340, 5.93789083320},
1798 { 0.00000031197, 2.70549944134, 1014.13534755060},
1799 { 0.00000032730, 5.22147683115, 41.05379694460},
1800 { 0.00000036035, 4.88125211442, 491.55792945680},
1801 { 0.00000029991, 3.30769367603, 1028.36244155220},
1802 { 0.00000029424, 3.63261469286, 30.71067209630},
1803 { 0.00000027478, 1.76175718511, 44.72531777680},
1804 { 0.00000027676, 4.54801642564, 7.11354700080},
1805 { 0.00000027475, 0.97228280623, 33.94024994380},
1806 { 0.00000024944, 3.10083196356, 144.14657116320},
1807 { 0.00000025956, 2.99728316628, 60.76695288680},
1808 { 0.00000021401, 0.68033795793, 251.43213107580},
1809 { 0.00000021369, 4.71270048898, 278.25883401880},
1810 { 0.00000023818, 5.11019967861, 176.65053250850},
1811 { 0.00000024486, 3.56527493795, 145.10977900970},
1812 { 0.00000023379, 1.65568321349, 173.68158709190},
1813 { 0.00000027004, 4.13984627053, 453.42489381900},
1814 { 0.00000020725, 0.89222104366, 4.19278569400},
1815 { 0.00000019795, 5.61602288526, 24.11838995730},
1816 { 0.00000023863, 0.99001670827, 213.29909543800},
1817 { 0.00000018408, 1.98233778039, 72.07328558160},
1818 { 0.00000018266, 6.17260374467, 189.39315380180},
1819 { 0.00000018960, 4.66648698212, 106.97674337190},
1820 { 0.00000017705, 1.59531409128, 62.25142559510},
1821 { 0.00000015648, 3.64570115017, 0.52126486180},
1822 { 0.00000016368, 1.70913999198, 357.44566660120},
1823 { 0.00000020132, 3.29521961100, 114.39910691340},
1824 { 0.00000015425, 4.38812302799, 25.60286266560},
1825 { 0.00000018932, 2.21630439663, 343.21857259960},
1826 { 0.00000014031, 0.55320290294, 129.91947716160},
1827 { 0.00000014328, 5.84024214567, 68.84370773410},
1828 { 0.00000015466, 4.20417846946, 567.82400073240},
1829 { 0.00000012746, 3.52815836608, 477.33083545520},
1830 { 0.00000011724, 5.57647263460, 31.23193695810},
1831 { 0.00000011533, 0.89138506506, 594.65070367540},
1832 { 0.00000010508, 4.35552732772, 32.71640966640},
1833 { 0.00000010777, 5.30551078064, 2.92076130680},
1834 { 0.00000010826, 5.21826226871, 26.82670294300},
1835 { 0.00000010084, 1.98102236804, 40.58071619260},
1836 { 0.00000011686, 5.14865195162, 42.58645376270},
1837 { 0.00000009207, 0.50092534158, 64.95973858080},
1838 { 0.00000009084, 5.86031317808, 6.59228213900},
1839 { 0.00000009231, 0.68180977710, 160.93896579860},
1840 { 0.00000010114, 4.51164596686, 28.57180808220},
1841 { 0.00000008350, 2.82449631025, 43.24084506850},
1842 { 0.00000009592, 3.76289614986, 181.75834193920},
1843 { 0.00000009969, 1.45995045237, 47.69426319340},
1844 { 0.00000007946, 2.40126769187, 11.04570026390},
1845 { 0.00000007629, 1.57125741752, 135.54855145410},
1846 { 0.00000007645, 4.07503370297, 389.94962794650},
1847 { 0.00000008004, 2.78082277326, 505.78502345840},
1848 { 0.00000009450, 0.27241260289, 426.59819087600},
1849 { 0.00000007192, 0.82841201068, 911.04257333200},
1850 { 0.00000006981, 1.86764180939, 206.18554843720},
1851 { 0.00000007897, 1.86554246391, 38.65430049960},
1852 { 0.00000006766, 0.85749934506, 82.85835341460},
1853 { 0.00000006357, 0.90093123522, 487.36514376280},
1854 { 0.00000006720, 1.33936767947, 220.41264243880},
1855 { 0.00000006344, 4.04005545219, 12.53017297220},
1856 { 0.00000007695, 5.13312500855, 23.90594163620},
1857 { 0.00000007059, 5.99832463478, 639.89728631400},
1858 { 0.00000008302, 3.85960902325, 37.61177077600},
1859 { 0.00000006412, 2.41743840961, 1059.38193018920},
1860 { 0.00000006751, 1.96860894470, 45.24658263860},
1861 { 0.00000006301, 4.04821192714, 35.68535508300},
1862 { 0.00000005517, 3.81325790890, 815.06334611420},
1863 { 0.00000005562, 0.41619602113, 563.63121503840},
1864 { 0.00000006115, 2.10934525342, 697.74347789400},
1865 { 0.00000006216, 4.79301628209, 143.62530630140},
1866 { 0.00000005346, 3.13071964722, 386.98068252990},
1867 { 0.00000006866, 0.62766858525, 350.33211960040},
1868 { 0.00000005245, 6.06245070403, 171.23390653710},
1869 { 0.00000005129, 0.79394555531, 179.09821306330},
1870 { 0.00000005099, 2.96677243218, 27.08733537390},
1871 { 0.00000005169, 6.18160132142, 63.73589830340},
1872 { 0.00000005168, 4.73765536370, 522.57741809380},
1873 { 0.00000005006, 2.37645082899, 77.22927912210},
1874 { 0.00000005005, 4.70632786719, 460.53844081980},
1875 { 0.00000005167, 5.20246890403, 446.31134681820},
1876 { 0.00000005119, 2.17338058771, 494.73932319450},
1877 { 0.00000005025, 4.21265519443, 536.80451209540},
1878 { 0.00000005125, 5.38138329172, 179.31066138440},
1879 { 0.00000004918, 4.09031782903, 488.37653571910},
1880 { 0.00000004711, 5.56542374115, 42.32582133180},
1881 { 0.00000004459, 1.30784829830, 69.36497259590},
1882 { 0.00000005485, 3.88088464259, 218.40690486870},
1883 { 0.00000004419, 4.22946309121, 5.41662597140},
1884 { 0.00000004559, 4.92224120952, 285.37238101960},
1885 { 0.00000004687, 2.21401153210, 1029.84691426050},
1886 { 0.00000004644, 1.87902594973, 1433.61999142580},
1887 { 0.00000005639, 3.05597013393, 983.11585891360},
1888 { 0.00000004317, 1.37172516583, 0.96320784650},
1889 { 0.00000004385, 2.35709104539, 84.34282612290},
1890 { 0.00000004430, 3.37768805833, 377.41945497430},
1891 { 0.00000004681, 2.14249250241, 97.41551581630},
1892 { 0.00000005845, 4.62301099402, 1024.21783996800},
1893 { 0.00000005769, 5.71579471638, 351.81659230870},
1894 { 0.00000004454, 5.20355311714, 274.06604832480},
1895 { 0.00000004398, 5.65312496227, 3.93215326310},
1896 { 0.00000004287, 0.66340266603, 1012.65087484230},
1897 { 0.00000004086, 0.14551174994, 385.28376150050},
1898 { 0.00000004029, 5.98399329775, 178.34745353790},
1899 { 0.00000004276, 3.68205082970, 348.84764689210},
1900 { 0.00000004012, 0.42559540783, 104313.47953065898},
1901 { 0.00000004309, 3.04099090488, 100.38446123290},
1902 { 0.00000003957, 0.86846121055, 171.98466606250},
1903 { 0.00000003961, 3.04953080906, 1017.31674128830},
1904 { 0.00000005559, 0.77714806229, 1447.84708542740},
1905 { 0.00000005071, 2.61075526868, 1536.71276564440},
1906 { 0.00000004225, 2.45845211305, 496.01134758170},
1907 { 0.00000004052, 5.00014006312, 391.64654897590},
1908 { 0.00000003763, 4.29449373755, 313.68355667090},
1909 { 0.00000004038, 2.82857942788, 1661.14618086540},
1910 { 0.00000004067, 5.73169928960, 169.53698550770},
1911 { 0.00000004826, 3.75589264710, 379.86713552910},
1912 { 0.00000004296, 5.90228488768, 142.14083359310},
1913 { 0.00000003721, 1.20062375429, 1026.87796884390},
1914 { 0.00000003929, 3.94354033755, 39.09624348430},
1915 { 0.00000004728, 4.73892221737, 382.83608094570},
1916 { 0.00000003489, 4.28865448963, 1025.18104781450},
1917 { 0.00000003714, 5.05021268365, 292.48592802040},
1918 { 0.00000003988, 2.82832650224, 134.11226285560},
1919 { 0.00000003471, 4.98900354066, 69.15252427480},
1920 { 0.00000003528, 2.80271543681, 14.01464568050},
1921 { 0.00000003745, 4.24728135115, 180.79513409270},
1922 { 0.00000003836, 1.02685786071, 1018.27994913480},
1923 { 0.00000003941, 5.21895739331, 183.76407950930},
1924 { 0.00000003780, 6.03723468132, 1022.73336725970},
1925 { 0.00000003647, 3.98130320367, 608.87779767700},
1926 { 0.00000003456, 5.54052355058, 846.08283475120},
1927 { 0.00000004047, 3.71041480907, 1018.06750081370},
1928 { 0.00000003865, 4.76002199091, 166.56804009110},
1929 { 0.00000003629, 3.29053233846, 447.79581952650},
1930 { 0.00000003337, 0.47308019225, 79.18683258240},
1931 { 0.00000003304, 1.49289552229, 1505.69327700740},
1932 { 0.00000003615, 3.68096122231, 494.52687487340},
1933 { 0.00000003209, 0.29676849415, 22.63391724900},
1934 { 0.00000003280, 3.62226152032, 531.17543780290},
1935 { 0.00000003337, 2.72502876320, 481.47543703940},
1936 { 0.00000003187, 0.08677634706, 399.51085550210},
1937 { 0.00000003389, 1.79454271219, 1519.92037100900},
1938 { 0.00000003154, 3.69356460843, 470.21728845440},
1939 { 0.00000003706, 2.79048710497, 462.02291352810},
1940 { 0.00000003682, 2.45952306167, 106.01353552540},
1941 { 0.00000003136, 4.38015969606, 385.49620982160},
1942 { 0.00000004279, 4.35633788890, 1066.49547719000},
1943 { 0.00000003392, 0.48037804731, 521.09294538550},
1944 { 0.00000003465, 0.93152295589, 2183.72359895920},
1945 { 0.00000003735, 0.98809808606, 487.41332787260},
1946 { 0.00000003285, 4.36830516894, 397.06317494730},
1947 { 0.00000003998, 3.38773325131, 6283.07584999140},
1948 { 0.00000002998, 2.61728063127, 487.62577619370},
1949 { 0.00000003295, 2.53821501556, 4.66586644600},
1950 { 0.00000002964, 3.66274645375, 495.49008271990},
1951 { 0.00000003901, 1.65463736406, 210.33015002140},
1952 { 0.00000002950, 1.99904237956, 872.90953769420},
1953 { 0.00000002936, 3.39722203959, 423.62924545940},
1954 { 0.00000003121, 5.89456985534, 105.49227066360},
1955 { 0.00000003904, 3.01022809543, 556.51766803760},
1956 { 0.00000003801, 4.23636257679, 1052.26838318840},
1957 { 0.00000002930, 6.15005257333, 164.12035953630},
1958 { 0.00000003267, 4.19718045293, 518.38463239980},
1959 { 0.00000003946, 2.88842759670, 151.26011816400},
1960 { 0.00000002823, 0.60712626756, 214.78356814630},
1961 { 0.00000002826, 2.91070227143, 391.43410065480},
1962 { 0.00000003347, 6.09373507569, 6246.42728706190},
1963 { 0.00000002792, 0.55248135990, 5.10780943070},
1964 { 0.00000003470, 5.06081504795, 79.23501669220},
1965 { 0.00000003010, 0.24656411754, 91.78644152380},
1966 { 0.00000002861, 6.17465663902, 422.40540518200},
1967 { 0.00000002989, 2.31620917965, 485.92885516430},
1968 { 0.00000003088, 2.29186342974, 110.20632121940},
1969 { 0.00000003030, 3.69866149100, 532.61172640140},
1970 { 0.00000003148, 6.25285869266, 535.32003938710},
1971 { 0.00000003020, 2.36422658177, 290.21955801940},
1972 { 0.00000002730, 3.34082732623, 394.09422953070},
1973 { 0.00000003170, 1.23078934548, 10176.63698328150},
1974 { 0.00000002673, 6.03366372927, 196.50670080260},
1975 { 0.00000002635, 3.39631667641, 148.07872442630},
1976 { 0.00000002838, 2.85241236576, 138.51749687070},
1977 { 0.00000002630, 0.46957619348, 1970.42450352120},
1978 { 0.00000002599, 4.86022081674, 439.19779981740},
1979 { 0.00000002878, 2.61946597178, 488.58898404020},
1980 { 0.00000002720, 1.71836225398, 364.55921360200},
1981 { 0.00000003053, 2.49346960035, 6243.45834164530},
1982 { 0.00000003332, 3.25113612987, 30.05628079050},
1983 { 0.00000003062, 6.23776299874, 419.48464387520},
1984 { 0.00000002786, 0.83078219939, 497.18700374930},
1985 { 0.00000002834, 3.52926079424, 457.87831194390},
1986 { 0.00000002932, 1.80245810977, 500.15594916590},
1987 { 0.00000002613, 0.97430899059, 244.31858407500},
1988 { 0.00000003030, 5.10152500393, 367.97010200330},
1989 { 0.00000002956, 5.76230870725, 986.08480433020},
1990 { 0.00000002658, 0.88044044504, 109.94568878850},
1991 { 0.00000003116, 2.20042242739, 495.70253104100},
1992 { 0.00000002554, 0.65945973992, 67.35923502580},
1993 { 0.00000002901, 3.91891656185, 10173.66803786490},
1994 { 0.00000002840, 1.34453183591, 482.95990974770},
1995 { 0.00000002458, 1.20012815574, 489.11024890200},
1996 { 0.00000002556, 3.86921927085, 487.10451133190},
1997 { 0.00000002614, 1.51881085312, 463.50738623640},
1998 { 0.00000002386, 4.58400538443, 615.99134467780},
1999 { 0.00000002438, 5.19827220476, 501.11915701240},
2000 { 0.00000002537, 1.64802783144, 519.60847267720},
2001 { 0.00000002444, 3.87859489652, 185.24855221760},
2002 { 0.00000002262, 5.79112288939, 605.95703637020},
2003 { 0.00000002795, 4.04265752580, 255.05546779820},
2004 { 0.00000002895, 3.26202698812, 1646.91908686380},
2005 { 0.00000002324, 3.99503920129, 481.26298871830},
2006 { 0.00000002962, 1.74151265966, 2080.63082474060},
2007 { 0.00000002621, 1.74442251671, 35.21227433100},
2008 };
2009
2010
2011 static const struct ln_vsop neptune_radius_r2[RADIUS_R2] = {
2012 { 0.00004247776, 5.89911844921, 38.13303563780},
2013 { 0.00000217404, 0.34589546713, 1.48447270830},
2014 { 0.00000163025, 2.23872947130, 168.05251279940},
2015 { 0.00000156285, 4.59414467342, 182.27960680100},
2016 { 0.00000117940, 5.10295026024, 484.44438245600},
2017 { 0.00000112429, 1.19000583596, 498.67147645760},
2018 { 0.00000127836, 2.84821806298, 35.16409022120},
2019 { 0.00000099311, 3.41592669789, 175.16605980020},
2020 { 0.00000064814, 3.46214064840, 388.46515523820},
2021 { 0.00000076780, 0.01680343065, 491.55792945680},
2022 { 0.00000049511, 4.06995993334, 76.26607127560},
2023 { 0.00000039330, 6.09521855958, 1021.24889455140},
2024 { 0.00000036451, 5.17129778081, 137.03302416240},
2025 { 0.00000036709, 5.97476878862, 2.96894541660},
2026 { 0.00000029037, 3.58135470306, 33.67961751290},
2027 { 0.00000020862, 0.77341568423, 36.64856292950},
2028 { 0.00000013886, 3.59248623971, 395.57870223900},
2029 { 0.00000013001, 5.12870831936, 98.89998852460},
2030 { 0.00000011379, 1.18060018898, 381.35160823740},
2031 { 0.00000009132, 2.34787658568, 601.76425067620},
2032 { 0.00000008527, 5.25134685897, 2.44768055480},
2033 { 0.00000007608, 4.99805971093, 4.45341812490},
2034 { 0.00000007417, 4.46775409796, 189.39315380180},
2035 { 0.00000007225, 1.92287508629, 9.56122755560},
2036 { 0.00000007289, 1.65519525780, 1028.36244155220},
2037 { 0.00000008076, 5.84268048268, 220.41264243880},
2038 { 0.00000009415, 0.00000000000, 0.00000000000},
2039 { 0.00000006554, 0.69397520662, 144.14657116320},
2040 { 0.00000005628, 5.23383764266, 46.20979048510},
2041 { 0.00000005523, 4.59041448911, 1014.13534755060},
2042 { 0.00000007254, 1.14445074833, 1059.38193018920},
2043 { 0.00000005226, 0.02783946816, 74.78159856730},
2044 { 0.00000005177, 5.23116646157, 477.33083545520},
2045 { 0.00000005098, 3.50187769013, 39.61750834610},
2046 { 0.00000005503, 3.49522319102, 183.76407950930},
2047 { 0.00000005055, 0.19949888617, 166.56804009110},
2048 { 0.00000004751, 1.18054948270, 169.53698550770},
2049 { 0.00000004587, 2.13374192347, 41.10198105440},
2050 { 0.00000006170, 6.15456871599, 71.81265315070},
2051 { 0.00000004606, 3.91970908886, 587.53715667460},
2052 { 0.00000004536, 2.84337336954, 7.11354700080},
2053 { 0.00000004338, 0.51553847342, 446.31134681820},
2054 { 0.00000003891, 0.26338839265, 1550.93985964600},
2055 { 0.00000004465, 3.01487041336, 129.91947716160},
2056 { 0.00000004162, 1.58187532018, 73.29712585900},
2057 { 0.00000003727, 2.37977930658, 160.93896579860},
2058 { 0.00000004830, 2.23553496822, 176.65053250850},
2059 { 0.00000003842, 3.79387204230, 111.43016149680},
2060 { 0.00000003296, 1.07748822909, 505.78502345840},
2061 { 0.00000003966, 1.70648052846, 983.11585891360},
2062 { 0.00000004008, 0.30663868827, 494.73932319450},
2063 { 0.00000003974, 5.97351783840, 488.37653571910},
2064 { 0.00000003925, 4.85736421123, 60.76695288680},
2065 { 0.00000002966, 2.01608546009, 822.17689311500},
2066 { 0.00000003972, 1.07780371834, 374.23806123660},
2067 { 0.00000002848, 6.17799253802, 704.85702489480},
2068 { 0.00000003527, 0.79317138165, 274.06604832480},
2069 { 0.00000002773, 5.37132330836, 251.43213107580},
2070 { 0.00000003113, 5.12622288666, 426.59819087600},
2071 { 0.00000003344, 5.61433537548, 1124.34166877000},
2072 { 0.00000003552, 5.22645982165, 350.33211960040},
2073 { 0.00000002597, 0.67759426519, 312.19908396260},
2074 { 0.00000002580, 3.56031931199, 567.82400073240},
2075 { 0.00000002578, 1.45603792456, 1035.47598855300},
2076 { 0.00000002541, 5.19427579702, 1227.43444298860},
2077 { 0.00000002507, 1.31206832468, 386.98068252990},
2078 { 0.00000002510, 4.12148891512, 171.23390653710},
2079 { 0.00000002511, 2.71606957319, 179.09821306330},
2080 { 0.00000002342, 0.96469916587, 1019.76442184310},
2081 { 0.00000002500, 0.70282276030, 707.77778620160},
2082 { 0.00000002480, 4.59623030219, 693.55069220000},
2083 };
2084
2085
2086 static const struct ln_vsop neptune_radius_r3[RADIUS_R3] = {
2087 { 0.00000166556, 4.55393495836, 38.13303563780},
2088 { 0.00000022380, 3.94830879358, 168.05251279940},
2089 { 0.00000021348, 2.86296778794, 182.27960680100},
2090 { 0.00000016233, 0.54226725872, 484.44438245600},
2091 { 0.00000015623, 5.75702251906, 498.67147645760},
2092 { 0.00000011412, 4.38291384655, 1.48447270830},
2093 { 0.00000006448, 5.19003066847, 31.01948863700},
2094 { 0.00000003655, 5.91335292846, 1007.02180054980},
2095 { 0.00000003681, 1.62865545676, 388.46515523820},
2096 { 0.00000003198, 0.70197118575, 1558.05340664680},
2097 { 0.00000003243, 1.88035665980, 522.57741809380},
2098 { 0.00000002688, 1.87062743473, 402.69224923980},
2099 { 0.00000003246, 0.79381356193, 536.80451209540},
2100 { 0.00000002650, 5.76858449026, 343.21857259960},
2101 { 0.00000002644, 4.64542905401, 500.15594916590},
2102 { 0.00000002541, 4.79217120822, 482.95990974770},
2103 { 0.00000002523, 1.72869889780, 395.57870223900},
2104 { 0.00000003040, 2.90934098363, 76.26607127560},
2105 { 0.00000002690, 2.21096415618, 446.31134681820},
2106 { 0.00000002355, 5.77381398401, 485.92885516430},
2107 { 0.00000002874, 6.19643340540, 815.06334611420},
2108 { 0.00000002450, 2.14451121185, 39.61750834610},
2109 { 0.00000002278, 3.66579603119, 497.18700374930},
2110 };
2111
2112
2113 static const struct ln_vsop neptune_radius_r4[RADIUS_R4] = {
2114 { 0.00000004227, 2.40375758563, 477.33083545520},
2115 { 0.00000004333, 0.10459484545, 395.57870223900},
2116 { 0.00000003545, 4.78431259422, 1028.36244155220},
2117 { 0.00000003154, 3.88192942366, 505.78502345840},
2118 { 0.00000003016, 1.03609346831, 189.39315380180},
2119 { 0.00000002294, 1.10879658603, 182.27960680100},
2120 { 0.00000002295, 5.67776133184, 168.05251279940},
2121 };
2122
2123
2124 /*! \fn void ln_get_neptune_equ_coords (double JD, struct ln_equ_posn * position);
2125 * \param JD julian Day
2126 * \param position Pointer to store position
2127 *
2128 * Calculates Neptune's equatorial position for given julian day.
2129 * This function includes calculations for planetary aberration and refers
2130 * to the FK5 reference frame.
2131 *
2132 * To get the complete equatorial coordinates, corrections for nutation
2133 * have to be applied.
2134 *
2135 * The position returned is accurate to within 0.1 arcsecs.
2136 */
ln_get_neptune_equ_coords(double JD,struct ln_equ_posn * position)2137 void ln_get_neptune_equ_coords (double JD, struct ln_equ_posn * position)
2138 {
2139 struct ln_helio_posn h_sol, h_neptune;
2140 struct ln_rect_posn g_sol, g_neptune;
2141 double a,b,c;
2142 double ra, dec, delta, diff, last, t = 0;
2143
2144 /* need typdef for solar heliocentric coords */
2145 ln_get_solar_geom_coords (JD, &h_sol);
2146 ln_get_rect_from_helio (&h_sol, &g_sol);
2147
2148 do {
2149 last = t;
2150 ln_get_neptune_helio_coords (JD - t, &h_neptune);
2151 ln_get_rect_from_helio (&h_neptune, &g_neptune);
2152
2153 /* equ 33.10 pg 229 */
2154 a = g_sol.X + g_neptune.X;
2155 b = g_sol.Y + g_neptune.Y;
2156 c = g_sol.Z + g_neptune.Z;
2157
2158 delta = a*a + b*b + c*c;
2159 delta = sqrt (delta);
2160 t = delta * 0.0057755183;
2161 diff = t - last;
2162 } while (diff > 0.0001 || diff < -0.0001);
2163
2164 ra = atan2 (b,a);
2165 dec = c / delta;
2166 dec = asin (dec);
2167
2168 /* back to hours, degrees */
2169 position->ra = ln_range_degrees(ln_rad_to_deg (ra));
2170 position->dec = ln_rad_to_deg (dec);
2171 }
2172
2173
2174 /*! \fn void ln_get_neptune_helio_coords (double JD, struct ln_helio_posn * position)
2175 * \param JD Julian Day
2176 * \param position Pointer to store heliocentric position
2177 *
2178 * Calculate Neptunes heliocentric (refered to the centre of the Sun) coordinates
2179 * in the FK5 reference frame for the given julian day.
2180 * Longitude and Latitude are in degrees, whilst radius vector is in AU.
2181 */
2182 /* Chapter 31 Pg 206-207 Equ 31.1 31.2 , 31.3 using VSOP 87
2183 */
ln_get_neptune_helio_coords(double JD,struct ln_helio_posn * position)2184 void ln_get_neptune_helio_coords (double JD, struct ln_helio_posn * position)
2185 {
2186 double t, t2, t3, t4, t5;
2187 double L0, L1, L2, L3;
2188 double B0, B1, B2, B3;
2189 double R0, R1, R2, R3, R4;
2190
2191 /* check cache first */
2192 if (JD == cJD) {
2193 /* cache hit */
2194 position->L = cL;
2195 position->B = cB;
2196 position->R = cR;
2197 return;
2198 }
2199
2200 /* get julian ephemeris day */
2201 t = (JD - 2451545.0) / 365250;
2202 t2 = t * t;
2203 t3 = t2 * t;
2204 t4 = t3 * t;
2205 t5 = t4 * t;
2206
2207 /* calc L series */
2208 L0 = ln_calc_series (neptune_longitude_l0, LONG_L0, t);
2209 L1 = ln_calc_series (neptune_longitude_l1, LONG_L1, t);
2210 L2 = ln_calc_series (neptune_longitude_l2, LONG_L2, t);
2211 L3 = ln_calc_series (neptune_longitude_l3, LONG_L3, t);
2212 position->L = (L0 + L1 * t + L2 * t2 + L3 * t3);
2213
2214 /* calc B series */
2215 B0 = ln_calc_series (neptune_latitude_b0, LAT_B0, t);
2216 B1 = ln_calc_series (neptune_latitude_b1, LAT_B1, t);
2217 B2 = ln_calc_series (neptune_latitude_b2, LAT_B2, t);
2218 B3 = ln_calc_series (neptune_latitude_b3, LAT_B3, t);
2219 position->B = (B0 + B1 * t + B2 * t2 + B3 * t3);
2220
2221
2222 /* calc R series */
2223 R0 = ln_calc_series (neptune_radius_r0, RADIUS_R0, t);
2224 R1 = ln_calc_series (neptune_radius_r1, RADIUS_R1, t);
2225 R2 = ln_calc_series (neptune_radius_r2, RADIUS_R2, t);
2226 R3 = ln_calc_series (neptune_radius_r3, RADIUS_R3, t);
2227 R4 = ln_calc_series (neptune_radius_r4, RADIUS_R4, t);
2228 position->R = (R0 + R1 * t + R2 * t2 + R3 * t3 + R4 * t4);
2229
2230 /* change to degrees in correct quadrant */
2231 position->L = ln_rad_to_deg(position->L);
2232 position->B = ln_rad_to_deg(position->B);
2233 position->L = ln_range_degrees(position->L);
2234
2235 /* change to fk5 reference frame */
2236 ln_vsop87_to_fk5 (position, JD);
2237
2238 /* save cache */
2239 cJD = JD;
2240 cL = position->L;
2241 cB = position->B;
2242 cR = position->R;
2243 }
2244
2245
2246
2247 /*! \fn double ln_get_neptune_earth_dist (double JD);
2248 * \brief Calculate the distance between Neptune and the Earth in AU
2249 * \param JD Julian day
2250 * \return Distance in AU
2251 *
2252 * Calculates the distance in AU between the Earth and Neptune for
2253 * the given julian day.
2254 */
ln_get_neptune_earth_dist(double JD)2255 double ln_get_neptune_earth_dist (double JD)
2256 {
2257 struct ln_helio_posn h_neptune, h_earth;
2258 struct ln_rect_posn g_neptune, g_earth;
2259 double x, y, z;
2260
2261 /* get heliocentric positions */
2262 ln_get_neptune_helio_coords (JD, &h_neptune);
2263 ln_get_earth_helio_coords (JD, &h_earth);
2264
2265 /* get geocentric coords */
2266 ln_get_rect_from_helio (&h_neptune, &g_neptune);
2267 ln_get_rect_from_helio (&h_earth, &g_earth);
2268
2269 /* use pythag */
2270 x = g_neptune.X - g_earth.X;
2271 y = g_neptune.Y - g_earth.Y;
2272 z = g_neptune.Z - g_earth.Z;;
2273 x = x * x;
2274 y = y * y;
2275 z = z * z;
2276
2277 return sqrt (x + y + z);
2278 }
2279
2280 /*! \fn double ln_get_neptune_solar_dist (double JD);
2281 * \brief Calculate the distance between Neptune and the Sun in AU
2282 * \param JD Julian day
2283 * \return distance in AU
2284 *
2285 * Calculates the distance in AU between the Sun and Neptune
2286 * for the given julian day.
2287 */
ln_get_neptune_solar_dist(double JD)2288 double ln_get_neptune_solar_dist (double JD)
2289 {
2290 struct ln_helio_posn h_neptune;
2291
2292 /* get heliocentric position */
2293 ln_get_neptune_helio_coords (JD, &h_neptune);
2294 return h_neptune.R;
2295 }
2296
2297 /*! \fn double ln_get_neptune_magnitude (double JD);
2298 * \brief Calculate the visible magnitude of Neptune
2299 * \param JD Julian day
2300 * \return Visible magnitude of neptune
2301 *
2302 * Calculate the visible magnitude of Neptune for the given julian day.
2303 */
ln_get_neptune_magnitude(double JD)2304 double ln_get_neptune_magnitude (double JD)
2305 {
2306 double delta, r;
2307
2308 /* get distances */
2309 r = ln_get_neptune_solar_dist (JD);
2310 delta = ln_get_neptune_earth_dist (JD);
2311
2312 return -6.87 + 5 * log10 (r * delta);
2313 }
2314
2315 /*! \fn double ln_get_neptune_disk (double JD);
2316 * \brief Calculate the illuminated fraction of Neptune's disk
2317 * \param JD Julian day
2318 * \return Illuminated fraction of Neptune's disk
2319 *
2320 * Calculate the illuminated fraction of Neptune's disk for the given Julian
2321 * day.
2322 */
2323 /* Chapter 41 */
ln_get_neptune_disk(double JD)2324 double ln_get_neptune_disk (double JD)
2325 {
2326 double r,delta,R;
2327
2328 /* get distances */
2329 R = ln_get_earth_solar_dist (JD);
2330 r = ln_get_neptune_solar_dist (JD);
2331 delta = ln_get_neptune_earth_dist (JD);
2332
2333 /* calc fraction angle */
2334 return (((r + delta) * (r + delta)) - R * R) / (4 * r * delta);
2335 }
2336
2337 /*! \fn double ln_get_neptune_phase (double JD);
2338 * \param JD Julian day
2339 * \return Phase angle of Neptune (degrees)
2340 *
2341 * Calculates the phase angle of Neptune, that is, the angle Sun -
2342 * Neptune - Earth for the given Julian day.
2343 */
2344 /* Chapter 41 */
ln_get_neptune_phase(double JD)2345 double ln_get_neptune_phase (double JD)
2346 {
2347 double i,r,delta,R;
2348
2349 /* get distances */
2350 R = ln_get_earth_solar_dist (JD);
2351 r = ln_get_neptune_solar_dist (JD);
2352 delta = ln_get_neptune_earth_dist (JD);
2353
2354 /* calc phase */
2355 i = (r * r + delta * delta - R * R) / (2 * r * delta);
2356 i = acos (i);
2357 return ln_rad_to_deg (i);
2358 }
2359
2360
2361 /*! \fn double ln_get_neptune_rst (double JD, struct ln_lnlat_posn * observer, struct ln_rst_time * rst);
2362 * \param JD Julian day
2363 * \param observer Observers position
2364 * \param rst Pointer to store Rise, Set and Transit time in JD
2365 * \return 0 for success, else 1 for circumpolar.
2366 *
2367 * Calculate the time the rise, set and transit (crosses the local meridian at upper culmination)
2368 * time of Neptune for the given Julian day.
2369 *
2370 * Note: this functions returns 1 if Neptune is circumpolar, that is it remains the whole
2371 * day either above or below the horizon.
2372 */
ln_get_neptune_rst(double JD,struct ln_lnlat_posn * observer,struct ln_rst_time * rst)2373 int ln_get_neptune_rst (double JD, struct ln_lnlat_posn * observer, struct ln_rst_time * rst)
2374 {
2375 return ln_get_body_rst_horizon (JD, observer, ln_get_neptune_equ_coords, LN_STAR_STANDART_HORIZON, rst);
2376 }
2377
2378 /*! \fn double ln_get_neptune_sdiam (double JD)
2379 * \param JD Julian day
2380 * \return Semidiameter in arc seconds
2381 *
2382 * Calculate the semidiameter of Neptune in arc seconds for the
2383 * given julian day.
2384 */
ln_get_neptune_sdiam(double JD)2385 double ln_get_neptune_sdiam (double JD)
2386 {
2387 double So = 33.50; /* at 1 AU */
2388 double dist;
2389
2390 dist = ln_get_neptune_earth_dist (JD);
2391 return So / dist;
2392 }
2393
2394 /*! \fn void ln_get_neptune_rect_helio (double JD, struct ln_rect_posn * position)
2395 * \param JD Julian day.
2396 * \param position pointer to return position
2397 *
2398 * Calculate Neptunes rectangular heliocentric coordinates for the
2399 * given Julian day. Coordinates are in AU.
2400 */
ln_get_neptune_rect_helio(double JD,struct ln_rect_posn * position)2401 void ln_get_neptune_rect_helio (double JD, struct ln_rect_posn * position)
2402 {
2403 struct ln_helio_posn neptune;
2404
2405 ln_get_neptune_helio_coords (JD, &neptune);
2406 ln_get_rect_from_helio (&neptune, position);
2407 }
2408