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/vsop87.h>
24 #include <libnova/solar.h>
25 #include <libnova/earth.h>
26 #include <libnova/transform.h>
27 #include <libnova/rise_set.h>
28 #include <libnova/utility.h>
29
30
31 #define LONG_L0 623
32 #define LONG_L1 379
33 #define LONG_L2 144
34 #define LONG_L3 23
35 #define LONG_L4 11
36 #define LONG_L5 4
37 #define LAT_B0 184
38 #define LAT_B1 134
39 #define LAT_B2 62
40 #define LAT_B3 14
41 #define LAT_B4 6
42 #define LAT_B5 2
43 #define RADIUS_R0 523
44 #define RADIUS_R1 290
45 #define RADIUS_R2 134
46 #define RADIUS_R3 20
47 #define RADIUS_R4 9
48 #define RADIUS_R5 2
49
50
51 /* cache variables */
52 static double cJD = 0, cL = 0, cB = 0, cR = 0;
53
54 static const struct ln_vsop earth_longitude_l0[LONG_L0] = {
55 { 1.75347045673, 0.00000000000, 0.00000000000},
56 { 0.03341656453, 4.66925680415, 6283.07584999140},
57 { 0.00034894275, 4.62610242189, 12566.15169998280},
58 { 0.00003417572, 2.82886579754, 3.52311834900},
59 { 0.00003497056, 2.74411783405, 5753.38488489680},
60 { 0.00003135899, 3.62767041756, 77713.77146812050},
61 { 0.00002676218, 4.41808345438, 7860.41939243920},
62 { 0.00002342691, 6.13516214446, 3930.20969621960},
63 { 0.00001273165, 2.03709657878, 529.69096509460},
64 { 0.00001324294, 0.74246341673, 11506.76976979360},
65 { 0.00000901854, 2.04505446477, 26.29831979980},
66 { 0.00001199167, 1.10962946234, 1577.34354244780},
67 { 0.00000857223, 3.50849152283, 398.14900340820},
68 { 0.00000779786, 1.17882681962, 5223.69391980220},
69 { 0.00000990250, 5.23268072088, 5884.92684658320},
70 { 0.00000753141, 2.53339052847, 5507.55323866740},
71 { 0.00000505267, 4.58292599973, 18849.22754997420},
72 { 0.00000492392, 4.20505711826, 775.52261132400},
73 { 0.00000356672, 2.91954114478, 0.06731030280},
74 { 0.00000284125, 1.89869240932, 796.29800681640},
75 { 0.00000242879, 0.34481445893, 5486.77784317500},
76 { 0.00000317087, 5.84901948512, 11790.62908865880},
77 { 0.00000271112, 0.31486255375, 10977.07880469900},
78 { 0.00000206217, 4.80646631478, 2544.31441988340},
79 { 0.00000205478, 1.86953770281, 5573.14280143310},
80 { 0.00000202318, 2.45767790232, 6069.77675455340},
81 { 0.00000126225, 1.08295459501, 20.77539549240},
82 { 0.00000155516, 0.83306084617, 213.29909543800},
83 { 0.00000115132, 0.64544911683, 0.98032106820},
84 { 0.00000102851, 0.63599845579, 4694.00295470760},
85 { 0.00000101724, 4.26679801980, 7.11354700080},
86 { 0.00000099206, 6.20992926918, 2146.16541647520},
87 { 0.00000132212, 3.41118292683, 2942.46342329160},
88 { 0.00000097607, 0.68101342359, 155.42039943420},
89 { 0.00000085128, 1.29870764804, 6275.96230299060},
90 { 0.00000074651, 1.75508913300, 5088.62883976680},
91 { 0.00000101895, 0.97569280312, 15720.83878487840},
92 { 0.00000084711, 3.67080093031, 71430.69561812909},
93 { 0.00000073547, 4.67926633877, 801.82093112380},
94 { 0.00000073874, 3.50319414955, 3154.68708489560},
95 { 0.00000078757, 3.03697458703, 12036.46073488820},
96 { 0.00000079637, 1.80791287082, 17260.15465469040},
97 { 0.00000085803, 5.98322631260, 161000.68573767410},
98 { 0.00000056963, 2.78430458592, 6286.59896834040},
99 { 0.00000061148, 1.81839892984, 7084.89678111520},
100 { 0.00000069627, 0.83297621398, 9437.76293488700},
101 { 0.00000056116, 4.38694865354, 14143.49524243060},
102 { 0.00000062449, 3.97763912806, 8827.39026987480},
103 { 0.00000051145, 0.28306832879, 5856.47765911540},
104 { 0.00000055577, 3.47006059924, 6279.55273164240},
105 { 0.00000041036, 5.36817592855, 8429.24126646660},
106 { 0.00000051605, 1.33282739866, 1748.01641306700},
107 { 0.00000051992, 0.18914947184, 12139.55350910680},
108 { 0.00000049000, 0.48735014197, 1194.44701022460},
109 { 0.00000039200, 6.16833020996, 10447.38783960440},
110 { 0.00000035570, 1.77596889200, 6812.76681508600},
111 { 0.00000036770, 6.04133863162, 10213.28554621100},
112 { 0.00000036596, 2.56957481827, 1059.38193018920},
113 { 0.00000033296, 0.59310278598, 17789.84561978500},
114 { 0.00000035954, 1.70875808777, 2352.86615377180},
115 { 0.00000040938, 2.39850938714, 19651.04848109800},
116 { 0.00000030047, 2.73975124088, 1349.86740965880},
117 { 0.00000030412, 0.44294464169, 83996.84731811189},
118 { 0.00000023663, 0.48473622521, 8031.09226305840},
119 { 0.00000023574, 2.06528133162, 3340.61242669980},
120 { 0.00000021089, 4.14825468851, 951.71840625060},
121 { 0.00000024738, 0.21484762138, 3.59042865180},
122 { 0.00000025352, 3.16470891653, 4690.47983635860},
123 { 0.00000022823, 5.22195230819, 4705.73230754360},
124 { 0.00000021419, 1.42563910473, 16730.46368959580},
125 { 0.00000021891, 5.55594302779, 553.56940284240},
126 { 0.00000017481, 4.56052900312, 135.06508003540},
127 { 0.00000019927, 5.22209149316, 12168.00269657460},
128 { 0.00000019860, 5.77470242235, 6309.37416979120},
129 { 0.00000020300, 0.37133792946, 283.85931886520},
130 { 0.00000014421, 4.19315052005, 242.72860397400},
131 { 0.00000016225, 5.98837767951, 11769.85369316640},
132 { 0.00000015077, 4.19567163370, 6256.77753019160},
133 { 0.00000019124, 3.82219958698, 23581.25817731760},
134 { 0.00000018888, 5.38626892076, 149854.40013480789},
135 { 0.00000014346, 3.72355084422, 38.02767263580},
136 { 0.00000017898, 2.21490566029, 13367.97263110660},
137 { 0.00000012054, 2.62229602614, 955.59974160860},
138 { 0.00000011287, 0.17739329984, 4164.31198961300},
139 { 0.00000013973, 4.40134615007, 6681.22485339960},
140 { 0.00000013621, 1.88934516495, 7632.94325965020},
141 { 0.00000012503, 1.13052412208, 5.52292430740},
142 { 0.00000010498, 5.35909979317, 1592.59601363280},
143 { 0.00000009803, 0.99948172646, 11371.70468975820},
144 { 0.00000009220, 4.57138585348, 4292.33083295040},
145 { 0.00000010327, 6.19982170609, 6438.49624942560},
146 { 0.00000012003, 1.00351462266, 632.78373931320},
147 { 0.00000010827, 0.32734523824, 103.09277421860},
148 { 0.00000008356, 4.53902748706, 25132.30339996560},
149 { 0.00000010005, 6.02914963280, 5746.27133789600},
150 { 0.00000008409, 3.29946177848, 7234.79425624200},
151 { 0.00000008006, 5.82145271855, 28.44918746780},
152 { 0.00000010523, 0.93870455544, 11926.25441366880},
153 { 0.00000007686, 3.12143640640, 7238.67559160000},
154 { 0.00000009378, 2.62413793196, 5760.49843189760},
155 { 0.00000008127, 6.11227839253, 4732.03062734340},
156 { 0.00000009232, 0.48344234496, 522.57741809380},
157 { 0.00000009802, 5.24413877132, 27511.46787353720},
158 { 0.00000007871, 0.99590133077, 5643.17856367740},
159 { 0.00000008123, 6.27053020099, 426.59819087600},
160 { 0.00000009048, 5.33686323585, 6386.16862421000},
161 { 0.00000008621, 4.16537179089, 7058.59846131540},
162 { 0.00000006297, 4.71723143652, 6836.64525283380},
163 { 0.00000007575, 3.97381357237, 11499.65622279280},
164 { 0.00000007756, 2.95728422442, 23013.53953958720},
165 { 0.00000007314, 0.60652522715, 11513.88331679440},
166 { 0.00000005955, 2.87641047954, 6283.14316029419},
167 { 0.00000006534, 5.79046406784, 18073.70493865020},
168 { 0.00000007188, 3.99831461988, 74.78159856730},
169 { 0.00000007346, 4.38582423903, 316.39186965660},
170 { 0.00000005413, 5.39199023275, 419.48464387520},
171 { 0.00000005127, 2.36059551778, 10973.55568635000},
172 { 0.00000007056, 0.32258442532, 263.08392337280},
173 { 0.00000006624, 3.66474165840, 17298.18232732620},
174 { 0.00000006762, 5.91131766896, 90955.55169449610},
175 { 0.00000004938, 5.73672172371, 9917.69687450980},
176 { 0.00000005547, 2.45152589382, 12352.85260454480},
177 { 0.00000005958, 3.32051344660, 6283.00853968860},
178 { 0.00000004471, 2.06386138131, 7079.37385680780},
179 { 0.00000006153, 1.45823347458, 233141.31440436149},
180 { 0.00000004348, 4.42338625285, 5216.58037280140},
181 { 0.00000006124, 1.07494838623, 19804.82729158280},
182 { 0.00000004488, 3.65285033073, 206.18554843720},
183 { 0.00000004020, 0.83995823171, 20.35531939880},
184 { 0.00000005188, 4.06503864016, 6208.29425142410},
185 { 0.00000005307, 0.38216728132, 31441.67756975680},
186 { 0.00000003785, 2.34369213733, 3.88133535800},
187 { 0.00000004497, 3.27230792447, 11015.10647733480},
188 { 0.00000004132, 0.92129851256, 3738.76143010800},
189 { 0.00000003521, 5.97844803610, 3894.18182954220},
190 { 0.00000004215, 1.90601721876, 245.83164622940},
191 { 0.00000003701, 5.03067498875, 536.80451209540},
192 { 0.00000003866, 1.82632980909, 11856.21865142450},
193 { 0.00000003652, 1.01840564429, 16200.77272450120},
194 { 0.00000003390, 0.97784870142, 8635.94200376320},
195 { 0.00000003737, 2.95378919570, 3128.38876509580},
196 { 0.00000003507, 3.71291946317, 6290.18939699220},
197 { 0.00000003086, 3.64646921512, 10.63666534980},
198 { 0.00000003397, 1.10589356888, 14712.31711645800},
199 { 0.00000003334, 0.83684903082, 6496.37494542940},
200 { 0.00000002805, 2.58503711584, 14314.16811304980},
201 { 0.00000003650, 1.08344142571, 88860.05707098669},
202 { 0.00000003388, 3.20182380957, 5120.60114558360},
203 { 0.00000003252, 3.47857474229, 6133.51265285680},
204 { 0.00000002553, 3.94869027260, 1990.74501704100},
205 { 0.00000003520, 2.05559692878, 244287.60000722769},
206 { 0.00000002565, 1.56072409371, 23543.23050468179},
207 { 0.00000002621, 3.85639359951, 266.60704172180},
208 { 0.00000002954, 3.39692614359, 9225.53927328300},
209 { 0.00000002876, 6.02633318445, 154717.60988768269},
210 { 0.00000002395, 1.16130078696, 10984.19235169980},
211 { 0.00000003161, 1.32798862116, 10873.98603048040},
212 { 0.00000003163, 5.08946546862, 21228.39202354580},
213 { 0.00000002361, 4.27212461943, 6040.34724601740},
214 { 0.00000003030, 1.80210001168, 35371.88726597640},
215 { 0.00000002343, 3.57688971514, 10969.96525769820},
216 { 0.00000002618, 2.57870151918, 22483.84857449259},
217 { 0.00000002113, 3.71711179417, 65147.61976813770},
218 { 0.00000002019, 0.81393923319, 170.67287061920},
219 { 0.00000002003, 0.38091017375, 6172.86952877200},
220 { 0.00000002506, 3.74378169126, 10575.40668294180},
221 { 0.00000002381, 0.10581361289, 7.04623669800},
222 { 0.00000001949, 4.86892513469, 36.02786667740},
223 { 0.00000002074, 4.22802468213, 5650.29211067820},
224 { 0.00000001924, 5.59460549844, 6282.09552892320},
225 { 0.00000001949, 1.06999605576, 5230.80746680300},
226 { 0.00000001988, 5.19734705445, 6262.30045449900},
227 { 0.00000001887, 3.74365662683, 23.87843774780},
228 { 0.00000001787, 1.25929659066, 12559.03815298200},
229 { 0.00000001883, 1.90364058477, 15.25247118500},
230 { 0.00000001816, 3.68083794819, 15110.46611986620},
231 { 0.00000001701, 4.41109562589, 110.20632121940},
232 { 0.00000001990, 3.93295788548, 6206.80977871580},
233 { 0.00000002103, 0.75354936681, 13521.75144159140},
234 { 0.00000001774, 0.48750515837, 1551.04522264800},
235 { 0.00000001882, 0.86685462305, 22003.91463486980},
236 { 0.00000001924, 1.22901099088, 709.93304855830},
237 { 0.00000002073, 4.62531597856, 6037.24420376200},
238 { 0.00000001924, 0.60231842492, 6284.05617105960},
239 { 0.00000001596, 3.98332879712, 13916.01910964160},
240 { 0.00000001664, 4.41947015623, 8662.24032356300},
241 { 0.00000001971, 1.04560686192, 18209.33026366019},
242 { 0.00000001942, 4.31335979989, 6244.94281435360},
243 { 0.00000001476, 0.93274523818, 2379.16447357160},
244 { 0.00000001810, 0.49112137707, 1.48447270830},
245 { 0.00000001346, 1.51574753411, 4136.91043351620},
246 { 0.00000001528, 5.61833568587, 6127.65545055720},
247 { 0.00000001791, 3.22191142746, 39302.09696219600},
248 { 0.00000001747, 3.05595292589, 18319.53658487960},
249 { 0.00000001432, 4.51123984264, 20426.57109242200},
250 { 0.00000001695, 0.22049418623, 25158.60171976540},
251 { 0.00000001242, 4.46665354536, 17256.63153634140},
252 { 0.00000001463, 4.69248613506, 14945.31617355440},
253 { 0.00000001205, 1.86911906771, 4590.91018048900},
254 { 0.00000001190, 2.74169967367, 12569.67481833180},
255 { 0.00000001222, 5.18120087481, 5333.90024102160},
256 { 0.00000001390, 5.42888623322, 143571.32428481648},
257 { 0.00000001473, 1.70487100866, 11712.95531823080},
258 { 0.00000001362, 2.61069503292, 6062.66320755260},
259 { 0.00000001148, 6.03008430610, 3634.62102451840},
260 { 0.00000001198, 5.15296117339, 10177.25767953360},
261 { 0.00000001266, 0.11422490557, 18422.62935909819},
262 { 0.00000001411, 1.09910890045, 3496.03282613400},
263 { 0.00000001349, 2.99804623019, 17654.78053974960},
264 { 0.00000001253, 2.79844902576, 167283.76158766549},
265 { 0.00000001311, 1.60941074300, 5481.25491886760},
266 { 0.00000001079, 6.20304501787, 3.28635741780},
267 { 0.00000001181, 1.20653777627, 131.54196168640},
268 { 0.00000001254, 5.45103277799, 6076.89030155420},
269 { 0.00000001036, 2.32136959491, 7342.45778018060},
270 { 0.00000001117, 0.38842340979, 949.17560896980},
271 { 0.00000000966, 3.18352079941, 11087.28512591840},
272 { 0.00000001171, 3.39635167732, 12562.62858163380},
273 { 0.00000001121, 0.72631814699, 220.41264243880},
274 { 0.00000001024, 2.19381113265, 11403.67699557500},
275 { 0.00000000888, 3.91167196431, 4686.88940770680},
276 { 0.00000000910, 1.98802695087, 735.87651353180},
277 { 0.00000000823, 0.48822202854, 24072.92146977640},
278 { 0.00000001096, 6.17377835617, 5436.99301524020},
279 { 0.00000000908, 0.44959148878, 7477.52286021600},
280 { 0.00000000974, 1.52996313552, 9623.68827669120},
281 { 0.00000000840, 1.79540573407, 5429.87946823940},
282 { 0.00000000778, 6.17703744517, 38.13303563780},
283 { 0.00000000776, 4.09859968447, 14.22709400160},
284 { 0.00000001068, 4.64209577648, 43232.30665841560},
285 { 0.00000000954, 1.49985885818, 1162.47470440780},
286 { 0.00000000907, 0.86986870809, 10344.29506538580},
287 { 0.00000000931, 4.06049877517, 28766.92442448400},
288 { 0.00000000739, 5.04368192034, 639.89728631400},
289 { 0.00000000965, 3.44286716197, 1589.07289528380},
290 { 0.00000000763, 5.86304776787, 16858.48253293320},
291 { 0.00000000953, 4.20801492835, 11190.37790013700},
292 { 0.00000000708, 1.72432323967, 13095.84266507740},
293 { 0.00000000969, 1.64437243011, 29088.81141598500},
294 { 0.00000000717, 0.16688678895, 11.72935283600},
295 { 0.00000000962, 3.53101876172, 12416.58850284820},
296 { 0.00000000745, 5.77741082302, 12592.45001978260},
297 { 0.00000000672, 1.91091228744, 3.93215326310},
298 { 0.00000000671, 5.46240758839, 18052.92954315780},
299 { 0.00000000675, 6.28311649798, 4535.05943692440},
300 { 0.00000000684, 0.39975011401, 5849.36411211460},
301 { 0.00000000799, 0.29859056777, 12132.43996210600},
302 { 0.00000000758, 0.96370719224, 1052.26838318840},
303 { 0.00000000782, 5.33875702541, 13517.87010623340},
304 { 0.00000000730, 1.70114998543, 17267.26820169119},
305 { 0.00000000749, 2.59607005624, 11609.86254401220},
306 { 0.00000000734, 2.78420497780, 640.87760738220},
307 { 0.00000000688, 5.15097673557, 16496.36139620240},
308 { 0.00000000770, 1.62459252416, 4701.11650170840},
309 { 0.00000000633, 2.20588443066, 25934.12433108940},
310 { 0.00000000760, 4.21317219403, 377.37360791580},
311 { 0.00000000584, 2.13420121623, 10557.59416082380},
312 { 0.00000000572, 0.24649745829, 9779.10867612540},
313 { 0.00000000573, 3.16435264609, 533.21408344360},
314 { 0.00000000685, 3.19344289472, 12146.66705610760},
315 { 0.00000000675, 0.96179234176, 10454.50138660520},
316 { 0.00000000648, 1.46327342554, 6268.84875598980},
317 { 0.00000000589, 2.50543543638, 3097.88382272579},
318 { 0.00000000551, 5.28106257475, 9388.00590941520},
319 { 0.00000000696, 3.65342155550, 4804.20927592700},
320 { 0.00000000669, 2.51030059260, 2388.89402044920},
321 { 0.00000000550, 0.06883090057, 20199.09495963300},
322 { 0.00000000629, 4.13350997495, 45892.73043315699},
323 { 0.00000000678, 6.09190163533, 135.62532501000},
324 { 0.00000000593, 1.50129499103, 226858.23855437008},
325 { 0.00000000542, 3.58582033525, 6148.01076995600},
326 { 0.00000000599, 6.12058050643, 18875.52586977400},
327 { 0.00000000682, 5.02213616830, 17253.04110768959},
328 { 0.00000000565, 4.29309214275, 11933.36796066960},
329 { 0.00000000486, 0.77746204893, 27.40155609680},
330 { 0.00000000503, 0.58974557727, 15671.08175940660},
331 { 0.00000000616, 4.06539884128, 227.47613278900},
332 { 0.00000000537, 2.15064382406, 21954.15760939799},
333 { 0.00000000669, 6.06995500278, 47162.51635463520},
334 { 0.00000000540, 2.83444221432, 5326.78669402080},
335 { 0.00000000474, 0.40346826846, 6915.85958930460},
336 { 0.00000000532, 5.26131065063, 10988.80815753500},
337 { 0.00000000582, 3.24533095664, 153.77881048480},
338 { 0.00000000641, 3.24711790399, 2107.03450754240},
339 { 0.00000000619, 3.08302108547, 33019.02111220460},
340 { 0.00000000466, 3.14982369789, 10440.27429260360},
341 { 0.00000000466, 0.90708835651, 5966.68398033480},
342 { 0.00000000528, 0.81926454470, 813.55028395980},
343 { 0.00000000603, 3.81378921927, 316428.22867391503},
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659 { 0.00000000044, 1.71009200258, 13362.44970679920},
660 { 0.00000000041, 3.91721318316, 6279.19451463340},
661 { 0.00000000042, 1.52106001448, 23550.34405168259},
662 { 0.00000000042, 3.10938258068, 84672.47584450469},
663 { 0.00000000041, 3.78863023321, 35050.00027447539},
664 { 0.00000000042, 5.57543459263, 38500.27603107220},
665 { 0.00000000040, 5.55145719363, 12565.17137891460},
666 { 0.00000000054, 0.88935492100, 50290.90511973100},
667 { 0.00000000055, 2.50268487636, 77828.67131306800},
668 { 0.00000000054, 4.16257918787, 22910.44676536859},
669 { 0.00000000041, 2.32141215064, 6286.95718534940},
670 { 0.00000000045, 3.18590576311, 45585.17281218740},
671 { 0.00000000045, 2.24348941683, 23646.32327890039},
672 { 0.00000000043, 3.87892110950, 6549.68289171320},
673 { 0.00000000048, 2.11364139445, 31570.79964939120},
674 { 0.00000000043, 5.55099558987, 12359.96615154560},
675 { 0.00000000041, 4.88191569433, 23536.11695768099},
676 { 0.00000000049, 2.44790922235, 13613.80427733600},
677 { 0.00000000047, 3.58181693910, 4797.09572892620},
678 };
679
680
681 static const struct ln_vsop earth_longitude_l1[LONG_L1] = {
682 { 6283.07584999140, 0.00000000000, 0.00000000000},
683 { 0.00206058863, 2.67823455808, 6283.07584999140},
684 { 0.00004303419, 2.63512233481, 12566.15169998280},
685 { 0.00000425264, 1.59046982018, 3.52311834900},
686 { 0.00000109017, 2.96631010675, 1577.34354244780},
687 { 0.00000093479, 2.59211109542, 18849.22754997420},
688 { 0.00000119305, 5.79555765566, 26.29831979980},
689 { 0.00000072121, 1.13840581212, 529.69096509460},
690 { 0.00000067784, 1.87453300345, 398.14900340820},
691 { 0.00000067350, 4.40932832004, 5507.55323866740},
692 { 0.00000059045, 2.88815790631, 5223.69391980220},
693 { 0.00000055976, 2.17471740035, 155.42039943420},
694 { 0.00000045411, 0.39799502896, 796.29800681640},
695 { 0.00000036298, 0.46875437227, 775.52261132400},
696 { 0.00000028962, 2.64732254645, 7.11354700080},
697 { 0.00000019097, 1.84628376049, 5486.77784317500},
698 { 0.00000020844, 5.34138275149, 0.98032106820},
699 { 0.00000018508, 4.96855179468, 213.29909543800},
700 { 0.00000016233, 0.03216587315, 2544.31441988340},
701 { 0.00000017293, 2.99116760630, 6275.96230299060},
702 { 0.00000015832, 1.43049301283, 2146.16541647520},
703 { 0.00000014608, 1.20469793690, 10977.07880469900},
704 { 0.00000011877, 3.25805082007, 5088.62883976680},
705 { 0.00000011514, 2.07502080082, 4694.00295470760},
706 { 0.00000009721, 4.23925865260, 1349.86740965880},
707 { 0.00000009969, 1.30263423409, 6286.59896834040},
708 { 0.00000009452, 2.69956827011, 242.72860397400},
709 { 0.00000012461, 2.83432282119, 1748.01641306700},
710 { 0.00000011808, 5.27379760438, 1194.44701022460},
711 { 0.00000008577, 5.64476085980, 951.71840625060},
712 { 0.00000010641, 0.76614722966, 553.56940284240},
713 { 0.00000007576, 5.30056172859, 2352.86615377180},
714 { 0.00000005764, 1.77228445837, 1059.38193018920},
715 { 0.00000006385, 2.65034514038, 9437.76293488700},
716 { 0.00000005223, 5.66135782131, 71430.69561812909},
717 { 0.00000005315, 0.91110018969, 3154.68708489560},
718 { 0.00000006101, 4.66633726278, 4690.47983635860},
719 { 0.00000004335, 0.23934560382, 6812.76681508600},
720 { 0.00000005041, 1.42489704722, 6438.49624942560},
721 { 0.00000004259, 0.77355543889, 10447.38783960440},
722 { 0.00000005200, 1.85528830215, 801.82093112380},
723 { 0.00000003744, 2.00119905572, 8031.09226305840},
724 { 0.00000003553, 2.42789590229, 14143.49524243060},
725 { 0.00000003372, 3.86210786421, 1592.59601363280},
726 { 0.00000003380, 0.88545388924, 12036.46073488820},
727 { 0.00000003196, 3.19713328141, 4705.73230754360},
728 { 0.00000003221, 0.61601048990, 8429.24126646660},
729 { 0.00000004132, 5.23992584671, 7084.89678111520},
730 { 0.00000002970, 6.07029819073, 4292.33083295040},
731 { 0.00000002900, 2.32464208411, 20.35531939880},
732 { 0.00000003504, 4.79976712702, 6279.55273164240},
733 { 0.00000002950, 1.43108874817, 5746.27133789600},
734 { 0.00000002697, 4.80365209201, 7234.79425624200},
735 { 0.00000002531, 6.22289990904, 6836.64525283380},
736 { 0.00000002745, 0.93466065396, 5760.49843189760},
737 { 0.00000003250, 3.39951915286, 7632.94325965020},
738 { 0.00000002278, 5.00339914806, 17789.84561978500},
739 { 0.00000002076, 3.95551309007, 10213.28554621100},
740 { 0.00000002061, 2.22407719190, 5856.47765911540},
741 { 0.00000002252, 5.67166717686, 11499.65622279280},
742 { 0.00000002148, 5.20182663314, 11513.88331679440},
743 { 0.00000001886, 0.53198539077, 3340.61242669980},
744 { 0.00000001875, 4.73511969924, 83996.84731811189},
745 { 0.00000002060, 2.54985307819, 25132.30339996560},
746 { 0.00000001794, 1.47435300254, 4164.31198961300},
747 { 0.00000001778, 3.02473091781, 5.52292430740},
748 { 0.00000002036, 0.90908165072, 6256.77753019160},
749 { 0.00000002064, 2.27051326957, 522.57741809380},
750 { 0.00000001773, 3.03090500693, 5753.38488489680},
751 { 0.00000001569, 6.12406216872, 5216.58037280140},
752 { 0.00000001590, 4.63713748247, 3.28635741780},
753 { 0.00000001533, 4.20305593883, 13367.97263110660},
754 { 0.00000001427, 1.19087535126, 3894.18182954220},
755 { 0.00000001376, 4.24955891338, 426.59819087600},
756 { 0.00000001375, 3.09301252193, 135.06508003540},
757 { 0.00000001308, 3.08492138890, 5643.17856367740},
758 { 0.00000001340, 5.76513167968, 6040.34724601740},
759 { 0.00000001250, 3.07748196332, 11926.25441366880},
760 { 0.00000001551, 3.07664090662, 6681.22485339960},
761 { 0.00000001148, 3.24144202282, 12168.00269657460},
762 { 0.00000001268, 2.09201189992, 6290.18939699220},
763 { 0.00000001248, 3.44506939791, 536.80451209540},
764 { 0.00000001118, 2.31830078762, 16730.46368959580},
765 { 0.00000001105, 5.31966001019, 23.87843774780},
766 { 0.00000001012, 3.74953487087, 7860.41939243920},
767 { 0.00000001025, 2.44683771610, 1990.74501704100},
768 { 0.00000000962, 0.81771017882, 3.88133535800},
769 { 0.00000000911, 0.41724352112, 7079.37385680780},
770 { 0.00000001091, 3.98233608618, 11506.76976979360},
771 { 0.00000000957, 4.07671436153, 6127.65545055720},
772 { 0.00000000835, 5.28348689371, 11790.62908865880},
773 { 0.00000000802, 3.88779080089, 10973.55568635000},
774 { 0.00000000773, 2.41044394817, 1589.07289528380},
775 { 0.00000000758, 1.30034365873, 103.09277421860},
776 { 0.00000000749, 4.96281442361, 6496.37494542940},
777 { 0.00000000765, 3.36312388424, 36.02786667740},
778 { 0.00000000915, 5.41549763095, 206.18554843720},
779 { 0.00000000776, 2.57589060224, 11371.70468975820},
780 { 0.00000000772, 3.98363364977, 955.59974160860},
781 { 0.00000000749, 5.17900231417, 10969.96525769820},
782 { 0.00000000806, 0.34226117299, 9917.69687450980},
783 { 0.00000000728, 5.20962563787, 38.02767263580},
784 { 0.00000000685, 2.77592961854, 20.77539549240},
785 { 0.00000000636, 4.28242193632, 28.44918746780},
786 { 0.00000000608, 5.63278510221, 10984.19235169980},
787 { 0.00000000704, 5.60739437733, 3738.76143010800},
788 { 0.00000000685, 0.38876148682, 15.25247118500},
789 { 0.00000000601, 0.73489602442, 419.48464387520},
790 { 0.00000000716, 2.65286869987, 6309.37416979120},
791 { 0.00000000584, 5.54508741381, 17298.18232732620},
792 { 0.00000000628, 1.11733054796, 7058.59846131540},
793 { 0.00000000688, 2.59684132401, 3496.03282613400},
794 { 0.00000000485, 0.44470714066, 12352.85260454480},
795 { 0.00000000562, 2.82510352358, 3930.20969621960},
796 { 0.00000000597, 5.27675789973, 10575.40668294180},
797 { 0.00000000583, 3.18931539860, 4732.03062734340},
798 { 0.00000000526, 5.01737745304, 5884.92684658320},
799 { 0.00000000540, 1.29182747488, 640.87760738220},
800 { 0.00000000481, 5.49721461067, 5230.80746680300},
801 { 0.00000000406, 5.21253018484, 220.41264243880},
802 { 0.00000000395, 1.87489912123, 16200.77272450120},
803 { 0.00000000367, 0.88533542945, 6283.14316029419},
804 { 0.00000000369, 3.84778078192, 18073.70493865020},
805 { 0.00000000379, 0.37991716505, 10177.25767953360},
806 { 0.00000000356, 3.84152910109, 11712.95531823080},
807 { 0.00000000374, 5.01577520608, 7.04623669800},
808 { 0.00000000381, 4.30250406634, 6062.66320755260},
809 { 0.00000000471, 0.86388942467, 6069.77675455340},
810 { 0.00000000367, 1.32943839930, 6283.00853968860},
811 { 0.00000000460, 5.19667219582, 6284.05617105960},
812 { 0.00000000333, 5.54250425107, 4686.88940770680},
813 { 0.00000000341, 4.36524495363, 7238.67559160000},
814 { 0.00000000336, 4.00205876835, 3097.88382272579},
815 { 0.00000000359, 6.22679790284, 245.83164622940},
816 { 0.00000000307, 2.35299010924, 170.67287061920},
817 { 0.00000000343, 3.77164927142, 6076.89030155420},
818 { 0.00000000296, 5.44138799494, 17260.15465469040},
819 { 0.00000000328, 0.13817705132, 11015.10647733480},
820 { 0.00000000269, 1.13308244952, 12569.67481833180},
821 { 0.00000000263, 0.00550737510, 4136.91043351620},
822 { 0.00000000282, 5.04399588559, 7477.52286021600},
823 { 0.00000000280, 3.13703211405, 12559.03815298200},
824 { 0.00000000259, 0.93882269388, 5642.19824260920},
825 { 0.00000000292, 1.98426314297, 12132.43996210600},
826 { 0.00000000247, 3.84244798673, 5429.87946823940},
827 { 0.00000000319, 5.04170148790, 90617.73743129970},
828 { 0.00000000245, 5.70469737024, 65147.61976813770},
829 { 0.00000000318, 1.35581968834, 78051.58573131690},
830 { 0.00000000241, 0.99469787369, 3634.62102451840},
831 { 0.00000000246, 3.06168069393, 110.20632121940},
832 { 0.00000000239, 6.11854529589, 11856.21865142450},
833 { 0.00000000267, 0.65297608414, 21228.39202354580},
834 { 0.00000000262, 1.51070507866, 12146.66705610760},
835 { 0.00000000230, 1.75923794017, 9779.10867612540},
836 { 0.00000000223, 2.00967043606, 6172.86952877200},
837 { 0.00000000246, 1.10411690861, 6282.09552892320},
838 { 0.00000000214, 4.03840492266, 14314.16811304980},
839 { 0.00000000212, 2.13695623228, 5849.36411211460},
840 { 0.00000000207, 3.07724246401, 11.72935283600},
841 { 0.00000000207, 6.10303325026, 23543.23050468179},
842 { 0.00000000266, 1.00720021877, 2388.89402044920},
843 { 0.00000000217, 6.27840212312, 17267.26820169119},
844 { 0.00000000231, 5.37372783468, 13916.01910964160},
845 { 0.00000000204, 2.34615348695, 266.60704172180},
846 { 0.00000000195, 5.55015549753, 6133.51265285680},
847 { 0.00000000203, 4.65616806503, 24072.92146977640},
848 { 0.00000000188, 2.52682282169, 6525.80445396540},
849 { 0.00000000177, 1.73426919199, 154717.60988768269},
850 { 0.00000000187, 4.76501318048, 4535.05943692440},
851 { 0.00000000186, 4.63080493407, 10440.27429260360},
852 { 0.00000000183, 3.20060840641, 8635.94200376320},
853 { 0.00000000172, 1.45551703877, 9225.53927328300},
854 { 0.00000000162, 3.30665137166, 639.89728631400},
855 { 0.00000000168, 2.17671416605, 27.40155609680},
856 { 0.00000000160, 1.68168712750, 15110.46611986620},
857 { 0.00000000194, 2.79243768345, 7342.45778018060},
858 { 0.00000000183, 0.56273524797, 13517.87010623340},
859 { 0.00000000172, 5.97039514134, 4701.11650170840},
860 { 0.00000000179, 3.58450811616, 87.30820453981},
861 { 0.00000000152, 2.84070476839, 5650.29211067820},
862 { 0.00000000156, 1.07156076421, 18319.53658487960},
863 { 0.00000000182, 0.44053620124, 17253.04110768959},
864 { 0.00000000142, 1.46290137520, 11087.28512591840},
865 { 0.00000000131, 5.40912137746, 2699.73481931760},
866 { 0.00000000144, 2.07312089638, 25158.60171976540},
867 { 0.00000000147, 6.15107800602, 9623.68827669120},
868 { 0.00000000141, 5.55739979498, 10454.50138660520},
869 { 0.00000000135, 0.06098129430, 16723.35014259500},
870 { 0.00000000123, 5.81194797368, 17256.63153634140},
871 { 0.00000000124, 2.36269386269, 4933.20844033260},
872 { 0.00000000126, 3.47483886466, 22483.84857449259},
873 { 0.00000000159, 5.63944722033, 5729.50644714900},
874 { 0.00000000137, 1.93811728826, 20426.57109242200},
875 { 0.00000000123, 3.92815962825, 17996.03116822220},
876 { 0.00000000148, 3.02542567608, 1551.04522264800},
877 { 0.00000000121, 0.05537321071, 13095.84266507740},
878 { 0.00000000120, 5.91904349732, 6206.80977871580},
879 { 0.00000000134, 3.11122937825, 21954.15760939799},
880 { 0.00000000119, 5.52143897201, 709.93304855830},
881 { 0.00000000122, 3.00840036775, 19800.94595622480},
882 { 0.00000000127, 1.37534182407, 14945.31617355440},
883 { 0.00000000141, 2.56886299638, 1052.26838318840},
884 { 0.00000000123, 2.83671175442, 11919.14086666800},
885 { 0.00000000118, 0.81918292547, 5331.35744374080},
886 { 0.00000000151, 2.68728567951, 11769.85369316640},
887 { 0.00000000119, 5.08654046247, 5481.25491886760},
888 { 0.00000000113, 4.42675663942, 18422.62935909819},
889 { 0.00000000153, 2.46021790779, 11933.36796066960},
890 { 0.00000000108, 1.04936452151, 11403.67699557500},
891 { 0.00000000128, 0.99810456461, 8827.39026987480},
892 { 0.00000000144, 2.54869747042, 227.47613278900},
893 { 0.00000000150, 4.50631437136, 2379.16447357160},
894 { 0.00000000109, 0.29269062317, 16737.57723659660},
895 { 0.00000000122, 4.23040027813, 29.42950853600},
896 { 0.00000000111, 5.16970710025, 17782.73207278420},
897 { 0.00000000105, 1.61738153441, 13119.72110282519},
898 { 0.00000000100, 3.52204690579, 18052.92954315780},
899 { 0.00000000108, 1.08493117155, 16858.48253293320},
900 { 0.00000000135, 3.20160616970, 6262.30045449900},
901 { 0.00000000106, 1.96085069786, 74.78159856730},
902 { 0.00000000129, 4.85949366504, 16496.36139620240},
903 { 0.00000000110, 2.30605777952, 16460.33352952499},
904 { 0.00000000097, 3.50918940210, 5333.90024102160},
905 { 0.00000000099, 3.56417337974, 735.87651353180},
906 { 0.00000000096, 3.40918487598, 15720.83878487840},
907 { 0.00000000094, 5.01601027363, 3128.38876509580},
908 { 0.00000000097, 1.65579893894, 533.21408344360},
909 { 0.00000000092, 0.89219199493, 29296.61538957860},
910 { 0.00000000123, 3.16062062663, 9380.95967271720},
911 { 0.00000000102, 1.20493500565, 23020.65308658799},
912 { 0.00000000088, 2.21265504437, 12721.57209941700},
913 { 0.00000000089, 1.54322669570, 20199.09495963300},
914 { 0.00000000121, 6.19860353182, 9388.00590941520},
915 { 0.00000000089, 4.08082274765, 22805.73556599360},
916 { 0.00000000098, 1.09176668094, 12043.57428188900},
917 { 0.00000000086, 1.13649001466, 143571.32428481648},
918 { 0.00000000088, 5.96980472191, 107.66352393860},
919 { 0.00000000082, 5.01561173481, 22003.91463486980},
920 { 0.00000000094, 1.69615700473, 23006.42599258639},
921 { 0.00000000081, 3.00664741995, 2118.76386037840},
922 { 0.00000000098, 1.39215287161, 8662.24032356300},
923 { 0.00000000080, 5.16340988714, 17796.95916678580},
924 { 0.00000000082, 5.86893959287, 2787.04302385740},
925 { 0.00000000077, 0.80723694712, 167283.76158766549},
926 { 0.00000000091, 5.74902425304, 21424.46664430340},
927 { 0.00000000076, 5.67183650604, 14.22709400160},
928 { 0.00000000081, 6.16619455699, 1039.02661079040},
929 { 0.00000000076, 3.21449884756, 111.18664228760},
930 { 0.00000000078, 1.37531518377, 21947.11137270000},
931 { 0.00000000074, 3.58814195051, 11609.86254401220},
932 { 0.00000000077, 4.84846488388, 22743.40937951640},
933 { 0.00000000090, 1.48869013606, 15671.08175940660},
934 { 0.00000000082, 3.48618398216, 29088.81141598500},
935 { 0.00000000071, 2.21591561190, 12029.34718788740},
936 { 0.00000000069, 1.93625656075, 135.62532501000},
937 { 0.00000000070, 2.66552760898, 18875.52586977400},
938 { 0.00000000069, 5.41478093731, 26735.94526221320},
939 { 0.00000000079, 5.15158156951, 12323.42309600880},
940 { 0.00000000078, 4.17014063638, 1066.49547719000},
941 { 0.00000000065, 5.64584720343, 12139.55350910680},
942 { 0.00000000071, 3.89804774037, 22779.43724619380},
943 { 0.00000000063, 4.53968787714, 8982.81066930900},
944 { 0.00000000076, 3.29088891716, 2942.46342329160},
945 { 0.00000000069, 0.94232113005, 14919.01785375460},
946 { 0.00000000063, 4.09186535490, 16062.18452611680},
947 { 0.00000000065, 3.34580407184, 51.28033786241},
948 { 0.00000000065, 5.75757544877, 52670.06959330260},
949 { 0.00000000057, 5.25050277534, 20995.39296644940},
950 { 0.00000000061, 1.92290673861, 6805.65326808520},
951 { 0.00000000061, 0.08878901558, 13362.44970679920},
952 { 0.00000000076, 1.86947679415, 25287.72379939980},
953 { 0.00000000056, 4.25396542622, 6709.67404086740},
954 { 0.00000000058, 4.79429715781, 6286.36220740920},
955 { 0.00000000073, 0.53299090807, 2301.58581590939},
956 { 0.00000000070, 4.31243357502, 19402.79695281660},
957 { 0.00000000067, 2.53852336668, 377.37360791580},
958 { 0.00000000056, 3.20816844695, 24889.57479599160},
959 { 0.00000000054, 5.17336469511, 26084.02180621620},
960 { 0.00000000053, 3.17675406016, 18451.07854656599},
961 { 0.00000000053, 3.61529270216, 77.67377042800},
962 { 0.00000000053, 0.45467549335, 30666.15495843280},
963 { 0.00000000053, 2.97761644192, 21548.96236929180},
964 { 0.00000000061, 0.14805728543, 23013.53953958720},
965 { 0.00000000051, 3.32803972907, 56.89837493560},
966 { 0.00000000052, 3.41304011355, 23141.55838292460},
967 { 0.00000000058, 3.13638677202, 309.27832265580},
968 { 0.00000000054, 1.60896548545, 13341.67431130680},
969 { 0.00000000053, 5.81426394852, 16193.65917750039},
970 { 0.00000000067, 6.27917920454, 22345.26037610820},
971 { 0.00000000050, 0.42577644151, 25685.87280280800},
972 { 0.00000000048, 0.70204553352, 1162.47470440780},
973 { 0.00000000066, 3.64350022359, 15265.88651930040},
974 { 0.00000000050, 5.74382917440, 19.66976089979},
975 { 0.00000000054, 1.97277370837, 23581.25817731760},
976 { 0.00000000051, 1.23713196525, 12539.85338018300},
977 { 0.00000000046, 5.41431704639, 33019.02111220460},
978 { 0.00000000046, 4.80640843261, 19651.04848109800},
979 { 0.00000000050, 1.23847511223, 22476.73502749179},
980 { 0.00000000051, 4.91913434178, 12592.45001978260},
981 { 0.00000000046, 2.41369976086, 98068.53671630539},
982 { 0.00000000045, 3.45227074337, 30774.50164257480},
983 { 0.00000000045, 4.39659083856, 433.71173787680},
984 { 0.00000000045, 3.71921056816, 18209.33026366019},
985 { 0.00000000044, 2.47683925106, 24356.78078864160},
986 { 0.00000000049, 2.17835058609, 13521.75144159140},
987 { 0.00000000046, 0.26142733448, 11.04570026390},
988 { 0.00000000045, 2.46230645202, 51868.24866217880},
989 { 0.00000000043, 4.29458463014, 28230.18722269139},
990 { 0.00000000048, 0.89551707131, 56600.27928952220},
991 { 0.00000000042, 3.63410684699, 4590.91018048900},
992 { 0.00000000049, 3.17757670967, 6303.85124548380},
993 { 0.00000000043, 4.93350349236, 10021.83728009940},
994 { 0.00000000052, 3.65410195699, 7872.14874527520},
995 { 0.00000000041, 4.82166756935, 10988.80815753500},
996 { 0.00000000040, 1.81891629936, 34596.36465465240},
997 { 0.00000000043, 1.94164978061, 1903.43681250120},
998 { 0.00000000041, 0.74461854136, 23937.85638974100},
999 { 0.00000000045, 5.45575017530, 60530.48898574180},
1000 { 0.00000000050, 5.67355640472, 18216.44381066100},
1001 { 0.00000000040, 0.04502010161, 38526.57435087200},
1002 { 0.00000000053, 3.64807615995, 11925.27409260060},
1003 { 0.00000000042, 5.19292937193, 19004.64794940840},
1004 { 0.00000000041, 0.94309683296, 9924.81042151060},
1005 { 0.00000000039, 4.61184303844, 95.97922721780},
1006 { 0.00000000049, 2.05532526216, 12573.26524698360},
1007 { 0.00000000045, 3.73717824543, 7875.67186362420},
1008 { 0.00000000043, 1.14078465002, 49.75702547180},
1009 { 0.00000000039, 1.70539366023, 32217.20018108080},
1010 { 0.00000000037, 1.29390383811, 310.84079886840},
1011 { 0.00000000038, 0.95970925950, 664.75604513000},
1012 { 0.00000000039, 0.85957361635, 16522.65971600220},
1013 { 0.00000000040, 1.00170796001, 36949.23080842420},
1014 { 0.00000000040, 3.78164718776, 55798.45835839840},
1015 { 0.00000000037, 5.42237070904, 6286.66627864320},
1016 { 0.00000000036, 1.68167662194, 10344.29506538580},
1017 { 0.00000000040, 5.13217319067, 15664.03552270859},
1018 { 0.00000000049, 3.62741283878, 77713.77146812050},
1019 { 0.00000000045, 6.15877872538, 28286.99048486120},
1020 { 0.00000000036, 3.32158458257, 16207.88627150200},
1021 { 0.00000000035, 5.83917764292, 6321.10352262720},
1022 { 0.00000000036, 1.80784164083, 6279.78949257360},
1023 { 0.00000000035, 4.60279245362, 28237.23345938940},
1024 { 0.00000000033, 0.47301775923, 18635.92845453620},
1025 { 0.00000000035, 4.36571027474, 48739.85989708300},
1026 { 0.00000000031, 3.06828028412, 6819.88036208680},
1027 { 0.00000000031, 2.40203198480, 28628.33622609960},
1028 { 0.00000000034, 1.90096411242, 12964.30070339100},
1029 { 0.00000000029, 6.09291010354, 18606.49894600020},
1030 { 0.00000000028, 3.42046112698, 6288.59877429880},
1031 { 0.00000000028, 3.43736140600, 34115.11406927460},
1032 { 0.00000000029, 1.48920816078, 6489.26139842860},
1033 { 0.00000000028, 3.07474749886, 29822.78323632420},
1034 { 0.00000000038, 2.44608264663, 31415.37924995700},
1035 { 0.00000000028, 2.98392582088, 6277.55292568400},
1036 { 0.00000000027, 5.03556015623, 12779.45079542080},
1037 { 0.00000000027, 5.40812977287, 26087.90314157420},
1038 { 0.00000000038, 5.56439937893, 27832.03821928320},
1039 { 0.00000000026, 3.87685883153, 6262.72053059260},
1040 { 0.00000000027, 6.15565392840, 28759.81087748319},
1041 { 0.00000000025, 5.17122153205, 6915.85958930460},
1042 { 0.00000000027, 4.03132006944, 9910.58332750900},
1043 { 0.00000000033, 3.97763407373, 12410.73130054860},
1044 { 0.00000000024, 5.31307120044, 29026.48522950779},
1045 { 0.00000000025, 0.81055213297, 36173.70819710020},
1046 { 0.00000000024, 1.28706101310, 24491.42579258340},
1047 { 0.00000000021, 2.02548478742, 28766.92442448400},
1048 { 0.00000000021, 6.07545114034, 18139.29450141590},
1049 { 0.00000000022, 2.31199937131, 6303.43116939020},
1050 { 0.00000000023, 1.35235057478, 49515.38250840700},
1051 { 0.00000000023, 2.92765926961, 65236.22129328540},
1052 { 0.00000000019, 0.03636659763, 29864.33402730900},
1053 { 0.00000000020, 0.91374066194, 45585.17281218740},
1054 { 0.00000000021, 4.45003013294, 22490.96212149340},
1055 { 0.00000000022, 1.97119365888, 34513.26307268280},
1056 { 0.00000000020, 4.11682669951, 17157.06188047180},
1057 { 0.00000000024, 1.40243942415, 14712.31711645800},
1058 { 0.00000000022, 2.19759737115, 31570.79964939120},
1059 { 0.00000000021, 1.48739821208, 61306.01159706580},
1060 { 0.00000000025, 5.71465573409, 25934.12433108940},
1061 };
1062
1063
1064 static const struct ln_vsop earth_longitude_l2[LONG_L2] = {
1065 { 0.00008721859, 1.07253635559, 6283.07584999140},
1066 { 0.00000990990, 3.14159265359, 0.00000000000},
1067 { 0.00000294833, 0.43717350256, 12566.15169998280},
1068 { 0.00000027338, 0.05295636147, 3.52311834900},
1069 { 0.00000016333, 5.18820215724, 26.29831979980},
1070 { 0.00000015745, 3.68504712183, 155.42039943420},
1071 { 0.00000009425, 0.29667114694, 18849.22754997420},
1072 { 0.00000008938, 2.05706319592, 77713.77146812050},
1073 { 0.00000006940, 0.82691541038, 775.52261132400},
1074 { 0.00000005061, 4.66243231680, 1577.34354244780},
1075 { 0.00000004060, 1.03067032318, 7.11354700080},
1076 { 0.00000003464, 5.14021224609, 796.29800681640},
1077 { 0.00000003172, 6.05479318507, 5507.55323866740},
1078 { 0.00000003020, 1.19240008524, 242.72860397400},
1079 { 0.00000002885, 6.11705865396, 529.69096509460},
1080 { 0.00000003809, 3.44043369494, 5573.14280143310},
1081 { 0.00000002719, 0.30363248164, 398.14900340820},
1082 { 0.00000002365, 4.37666117992, 5223.69391980220},
1083 { 0.00000002538, 2.27966434314, 553.56940284240},
1084 { 0.00000002078, 3.75435095487, 0.98032106820},
1085 { 0.00000001675, 0.90149951436, 951.71840625060},
1086 { 0.00000001534, 5.75895831192, 1349.86740965880},
1087 { 0.00000001224, 2.97285792195, 2146.16541647520},
1088 { 0.00000001449, 4.36401639552, 1748.01641306700},
1089 { 0.00000001341, 3.72019379666, 1194.44701022460},
1090 { 0.00000001253, 2.94888726310, 6438.49624942560},
1091 { 0.00000000999, 5.98665341008, 6286.59896834040},
1092 { 0.00000000917, 4.79722195184, 5088.62883976680},
1093 { 0.00000000829, 3.31021398862, 213.29909543800},
1094 { 0.00000001102, 1.27094359244, 161000.68573767410},
1095 { 0.00000000764, 3.41231607038, 5486.77784317500},
1096 { 0.00000001046, 0.60374190029, 3154.68708489560},
1097 { 0.00000000887, 5.23364022595, 7084.89678111520},
1098 { 0.00000000644, 1.59974355582, 2544.31441988340},
1099 { 0.00000000681, 3.42742947469, 4694.00295470760},
1100 { 0.00000000606, 2.47688996663, 10977.07880469900},
1101 { 0.00000000706, 6.19369692903, 4690.47983635860},
1102 { 0.00000000643, 1.98119869589, 801.82093112380},
1103 { 0.00000000502, 1.44415463861, 6836.64525283380},
1104 { 0.00000000490, 2.33889753806, 1592.59601363280},
1105 { 0.00000000458, 1.30867922972, 4292.33083295040},
1106 { 0.00000000431, 0.03542536476, 7234.79425624200},
1107 { 0.00000000349, 0.98779272263, 6040.34724601740},
1108 { 0.00000000385, 1.57065592218, 71430.69561812909},
1109 { 0.00000000371, 3.16149051601, 6309.37416979120},
1110 { 0.00000000348, 0.64980950594, 1059.38193018920},
1111 { 0.00000000458, 3.81505682017, 149854.40013480789},
1112 { 0.00000000302, 1.91723873447, 10447.38783960440},
1113 { 0.00000000306, 3.55405857884, 8031.09226305840},
1114 { 0.00000000395, 4.93742673052, 7632.94325965020},
1115 { 0.00000000314, 3.18058352846, 2352.86615377180},
1116 { 0.00000000281, 4.41751404023, 9437.76293488700},
1117 { 0.00000000276, 2.71075791682, 3894.18182954220},
1118 { 0.00000000298, 2.52045757001, 6127.65545055720},
1119 { 0.00000000272, 0.24370191144, 25132.30339996560},
1120 { 0.00000000251, 0.55449375765, 6279.55273164240},
1121 { 0.00000000224, 1.40790249012, 4705.73230754360},
1122 { 0.00000000258, 5.29510765044, 6812.76681508600},
1123 { 0.00000000178, 0.92636669742, 1990.74501704100},
1124 { 0.00000000217, 0.68543630022, 6256.77753019160},
1125 { 0.00000000154, 0.77808632062, 14143.49524243060},
1126 { 0.00000000150, 2.40636982736, 426.59819087600},
1127 { 0.00000000196, 6.06877865012, 640.87760738220},
1128 { 0.00000000137, 2.21947617717, 8429.24126646660},
1129 { 0.00000000127, 5.47380312768, 12036.46073488820},
1130 { 0.00000000121, 3.32740512021, 17789.84561978500},
1131 { 0.00000000123, 2.16004509785, 10213.28554621100},
1132 { 0.00000000116, 0.49705139709, 7058.59846131540},
1133 { 0.00000000138, 2.36181661472, 11506.76976979360},
1134 { 0.00000000101, 0.86299995919, 6290.18939699220},
1135 { 0.00000000118, 5.82317768355, 7860.41939243920},
1136 { 0.00000000092, 5.11639978593, 7079.37385680780},
1137 { 0.00000000125, 2.65424538513, 88860.05707098669},
1138 { 0.00000000088, 4.31188236160, 83996.84731811189},
1139 { 0.00000000084, 3.57682769713, 16730.46368959580},
1140 { 0.00000000097, 5.58011309774, 13367.97263110660},
1141 { 0.00000000102, 2.05853060226, 87.30820453981},
1142 { 0.00000000080, 4.73827128421, 11926.25441366880},
1143 { 0.00000000080, 5.41344057121, 10973.55568635000},
1144 { 0.00000000106, 4.10978997399, 3496.03282613400},
1145 { 0.00000000075, 4.89166898876, 5643.17856367740},
1146 { 0.00000000100, 3.62645659087, 244287.60000722769},
1147 { 0.00000000096, 1.39443577787, 6681.22485339960},
1148 { 0.00000000069, 1.88399189965, 10177.25767953360},
1149 { 0.00000000087, 0.40842153208, 11015.10647733480},
1150 { 0.00000000066, 0.99444831932, 6525.80445396540},
1151 { 0.00000000066, 1.42471816453, 9917.69687450980},
1152 { 0.00000000067, 5.51240997070, 3097.88382272579},
1153 { 0.00000000076, 2.71564693510, 4164.31198961300},
1154 { 0.00000000085, 0.49655523670, 10575.40668294180},
1155 { 0.00000000077, 3.51693861509, 11856.21865142450},
1156 { 0.00000000062, 3.62587628690, 16496.36139620240},
1157 { 0.00000000054, 5.25957420065, 3340.61242669980},
1158 { 0.00000000053, 1.10902178415, 8635.94200376320},
1159 { 0.00000000049, 5.65761054625, 20426.57109242200},
1160 { 0.00000000064, 5.79211164779, 2388.89402044920},
1161 { 0.00000000046, 5.45092696155, 6275.96230299060},
1162 { 0.00000000057, 4.97077155798, 14945.31617355440},
1163 { 0.00000000043, 3.30685683359, 9779.10867612540},
1164 { 0.00000000042, 1.61412785248, 12168.00269657460},
1165 { 0.00000000049, 3.92715473768, 5729.50644714900},
1166 { 0.00000000042, 0.63481258930, 2699.73481931760},
1167 { 0.00000000056, 4.34038639086, 90955.55169449610},
1168 { 0.00000000040, 5.66871428338, 11712.95531823080},
1169 { 0.00000000039, 3.10911294009, 16200.77272450120},
1170 { 0.00000000040, 5.71338386146, 709.93304855830},
1171 { 0.00000000053, 6.17067257683, 233141.31440436149},
1172 { 0.00000000037, 0.32095173508, 24356.78078864160},
1173 { 0.00000000035, 0.95557073457, 17298.18232732620},
1174 { 0.00000000035, 0.64913397996, 25158.60171976540},
1175 { 0.00000000041, 1.53850422484, 65147.61976813770},
1176 { 0.00000000035, 0.77655626359, 13916.01910964160},
1177 { 0.00000000031, 5.35897350775, 5331.35744374080},
1178 { 0.00000000030, 4.48114682755, 23543.23050468179},
1179 { 0.00000000032, 3.45976963453, 7477.52286021600},
1180 { 0.00000000029, 3.46648040769, 13119.72110282519},
1181 { 0.00000000038, 2.90863974625, 12721.57209941700},
1182 { 0.00000000029, 3.13390968321, 4136.91043351620},
1183 { 0.00000000035, 3.79717126309, 143571.32428481648},
1184 { 0.00000000027, 0.95726093828, 12559.03815298200},
1185 { 0.00000000026, 4.95326877030, 5753.38488489680},
1186 { 0.00000000032, 3.49943896928, 6284.05617105960},
1187 { 0.00000000026, 4.59276256636, 5884.92684658320},
1188 { 0.00000000026, 1.53958920253, 154717.60988768269},
1189 { 0.00000000023, 4.88012908735, 13095.84266507740},
1190 { 0.00000000023, 0.35935706511, 31415.37924995700},
1191 { 0.00000000024, 5.11515116629, 18319.53658487960},
1192 { 0.00000000021, 5.73872879912, 12569.67481833180},
1193 { 0.00000000021, 1.32901200081, 10988.80815753500},
1194 { 0.00000000019, 2.24263229491, 18073.70493865020},
1195 { 0.00000000019, 3.14253175605, 6496.37494542940},
1196 { 0.00000000021, 2.80122025076, 6282.09552892320},
1197 { 0.00000000023, 0.14288760398, 6283.00853968860},
1198 { 0.00000000019, 4.28209473754, 3930.20969621960},
1199 { 0.00000000016, 0.25933207663, 11790.62908865880},
1200 { 0.00000000015, 6.09623501240, 13517.87010623340},
1201 { 0.00000000020, 5.06358906224, 6283.14316029419},
1202 { 0.00000000015, 1.07680663150, 4933.20844033260},
1203 { 0.00000000019, 5.74000581249, 3128.38876509580},
1204 { 0.00000000016, 6.18924226747, 7342.45778018060},
1205 { 0.00000000013, 1.69105044945, 4535.05943692440},
1206 { 0.00000000015, 3.36968394452, 17260.15465469040},
1207 { 0.00000000010, 3.78885035015, 22003.91463486980},
1208 { 0.00000000011, 2.12851973876, 7875.67186362420},
1209 };
1210
1211
1212 static const struct ln_vsop earth_longitude_l3[LONG_L3] = {
1213 { 0.00000289058, 5.84173149732, 6283.07584999140},
1214 { 0.00000020712, 6.04983939020, 12566.15169998280},
1215 { 0.00000002962, 5.19560579570, 155.42039943420},
1216 { 0.00000002527, 3.14159265359, 0.00000000000},
1217 { 0.00000001288, 4.72197611970, 3.52311834900},
1218 { 0.00000000635, 5.96904899168, 242.72860397400},
1219 { 0.00000000570, 5.54182903238, 18849.22754997420},
1220 { 0.00000000402, 3.78606612895, 553.56940284240},
1221 { 0.00000000072, 4.37131884946, 6286.59896834040},
1222 { 0.00000000067, 0.91133898967, 6127.65545055720},
1223 { 0.00000000037, 5.28611190997, 6438.49624942560},
1224 { 0.00000000021, 2.94917211527, 6309.37416979120},
1225 { 0.00000000015, 3.63037493932, 71430.69561812909},
1226 { 0.00000000011, 4.83261533939, 25132.30339996560},
1227 { 0.00000000011, 5.84259014283, 6525.80445396540},
1228 { 0.00000000012, 3.82296977522, 7058.59846131540},
1229 { 0.00000000013, 2.39991715131, 5729.50644714900},
1230 { 0.00000000008, 0.55390332094, 6040.34724601740},
1231 { 0.00000000008, 1.46298993048, 11856.21865142450},
1232 { 0.00000000008, 5.07535888338, 6256.77753019160},
1233 { 0.00000000006, 2.88803526743, 5507.55323866740},
1234 { 0.00000000005, 3.87019253131, 12036.46073488820},
1235 { 0.00000000005, 2.70838853362, 83996.84731811189},
1236 };
1237
1238
1239 static const struct ln_vsop earth_longitude_l4[LONG_L4] = {
1240 { 0.00000007714, 4.14117321449, 6283.07584999140},
1241 { 0.00000001016, 3.27573644241, 12566.15169998280},
1242 { 0.00000000420, 0.41892851415, 155.42039943420},
1243 { 0.00000000047, 3.50591071186, 18849.22754997420},
1244 { 0.00000000041, 3.14032562331, 3.52311834900},
1245 { 0.00000000035, 5.01110770000, 5573.14280143310},
1246 { 0.00000000010, 5.64816633449, 6127.65545055720},
1247 { 0.00000000013, 0.48609240774, 77713.77146812050},
1248 { 0.00000000007, 2.84139222289, 161000.68573767410},
1249 { 0.00000000004, 3.65509047070, 25132.30339996560},
1250 { 0.00000000002, 0.54880603487, 6438.49624942560},
1251 };
1252
1253
1254 static const struct ln_vsop earth_longitude_l5[LONG_L5] = {
1255 { 0.00000000172, 2.74854172392, 6283.07584999140},
1256 { 0.00000000050, 2.01352986713, 155.42039943420},
1257 { 0.00000000028, 2.93369985477, 12566.15169998280},
1258 { 0.00000000005, 1.93829214518, 18849.22754997420},
1259 };
1260
1261
1262 static const struct ln_vsop earth_latitude_b0[LAT_B0] = {
1263 { 0.00000279620, 3.19870156017, 84334.66158130829},
1264 { 0.00000101643, 5.42248619256, 5507.55323866740},
1265 { 0.00000080445, 3.88013204458, 5223.69391980220},
1266 { 0.00000043806, 3.70444689759, 2352.86615377180},
1267 { 0.00000031933, 4.00026369781, 1577.34354244780},
1268 { 0.00000022724, 3.98473831560, 1047.74731175470},
1269 { 0.00000016392, 3.56456119782, 5856.47765911540},
1270 { 0.00000018141, 4.98367470262, 6283.07584999140},
1271 { 0.00000014443, 3.70275614915, 9437.76293488700},
1272 { 0.00000014304, 3.41117857526, 10213.28554621100},
1273 { 0.00000011246, 4.82820690527, 14143.49524243060},
1274 { 0.00000010900, 2.08574562329, 6812.76681508600},
1275 { 0.00000009714, 3.47303947751, 4694.00295470760},
1276 { 0.00000010367, 4.05663927945, 71092.88135493269},
1277 { 0.00000008775, 4.44016515666, 5753.38488489680},
1278 { 0.00000008366, 4.99251512183, 7084.89678111520},
1279 { 0.00000006921, 4.32559054073, 6275.96230299060},
1280 { 0.00000009145, 1.14182646613, 6620.89011318780},
1281 { 0.00000007194, 3.60193205744, 529.69096509460},
1282 { 0.00000007698, 5.55425745881, 167621.57585086189},
1283 { 0.00000005285, 2.48446991536, 4705.73230754360},
1284 { 0.00000005208, 6.24992674532, 18073.70493865020},
1285 { 0.00000004529, 2.33827747356, 6309.37416979120},
1286 { 0.00000005579, 4.41023653719, 7860.41939243920},
1287 { 0.00000004743, 0.70995680136, 5884.92684658320},
1288 { 0.00000004301, 1.10255777773, 6681.22485339960},
1289 { 0.00000003849, 1.82229412532, 5486.77784317500},
1290 { 0.00000004093, 5.11700141197, 13367.97263110660},
1291 { 0.00000003681, 0.43793170336, 3154.68708489560},
1292 { 0.00000003420, 5.42034800952, 6069.77675455340},
1293 { 0.00000003617, 6.04641937568, 3930.20969621960},
1294 { 0.00000003670, 4.58210192227, 12194.03291462090},
1295 { 0.00000002918, 1.95463881136, 10977.07880469900},
1296 { 0.00000002797, 5.61259274877, 11790.62908865880},
1297 { 0.00000002502, 0.60499729368, 6496.37494542940},
1298 { 0.00000002319, 5.01648216088, 1059.38193018920},
1299 { 0.00000002684, 1.39470396487, 22003.91463486980},
1300 { 0.00000002428, 3.24183056545, 78051.58573131690},
1301 { 0.00000002120, 4.30691000285, 5643.17856367740},
1302 { 0.00000002257, 3.15557225087, 90617.73743129970},
1303 { 0.00000001813, 3.75574218286, 3340.61242669980},
1304 { 0.00000002226, 2.79699346673, 12036.46073488820},
1305 { 0.00000001888, 0.86991545944, 8635.94200376320},
1306 { 0.00000001517, 1.95852055710, 398.14900340820},
1307 { 0.00000001581, 3.19976230948, 5088.62883976680},
1308 { 0.00000001421, 6.25530883828, 2544.31441988340},
1309 { 0.00000001595, 0.25619915132, 17298.18232732620},
1310 { 0.00000001391, 4.69964175574, 7058.59846131540},
1311 { 0.00000001478, 2.81808207569, 25934.12433108940},
1312 { 0.00000001481, 3.65823554610, 11506.76976979360},
1313 { 0.00000001693, 4.95689385293, 156475.29024799570},
1314 { 0.00000001183, 1.29343060777, 775.52261132400},
1315 { 0.00000001114, 2.37889311847, 3738.76143010800},
1316 { 0.00000000994, 4.30088900425, 9225.53927328300},
1317 { 0.00000000924, 3.06451026809, 4164.31198961300},
1318 { 0.00000000867, 0.55606931068, 8429.24126646660},
1319 { 0.00000000988, 5.97286104208, 7079.37385680780},
1320 { 0.00000000824, 1.50984806177, 10447.38783960440},
1321 { 0.00000000915, 0.12635654605, 11015.10647733480},
1322 { 0.00000000742, 1.99159139281, 26087.90314157420},
1323 { 0.00000001039, 3.14159265359, 0.00000000000},
1324 { 0.00000000850, 4.24120016095, 29864.33402730900},
1325 { 0.00000000755, 2.89631873314, 4732.03062734340},
1326 { 0.00000000714, 1.37548118605, 2146.16541647520},
1327 { 0.00000000708, 1.91406542362, 8031.09226305840},
1328 { 0.00000000746, 0.57893808622, 796.29800681640},
1329 { 0.00000000802, 5.12339137235, 2942.46342329160},
1330 { 0.00000000751, 1.67479850166, 21228.39202354580},
1331 { 0.00000000602, 4.09976538900, 64809.80550494129},
1332 { 0.00000000594, 3.49580704849, 16496.36139620240},
1333 { 0.00000000592, 4.59481504319, 4690.47983635860},
1334 { 0.00000000530, 5.73979295194, 8827.39026987480},
1335 { 0.00000000503, 5.66433137112, 33794.54372352860},
1336 { 0.00000000483, 1.57106522322, 801.82093112380},
1337 { 0.00000000438, 0.06707733720, 3128.38876509580},
1338 { 0.00000000423, 2.86944596145, 12566.15169998280},
1339 { 0.00000000504, 3.26207669160, 7632.94325965020},
1340 { 0.00000000552, 1.02926440457, 239762.20451754928},
1341 { 0.00000000427, 3.67434378208, 213.29909543800},
1342 { 0.00000000404, 1.46193297360, 15720.83878487840},
1343 { 0.00000000503, 4.85802444134, 6290.18939699220},
1344 { 0.00000000417, 0.81920713533, 5216.58037280140},
1345 { 0.00000000365, 0.01002966145, 12168.00269657460},
1346 { 0.00000000363, 1.28376436579, 6206.80977871580},
1347 { 0.00000000353, 4.70059133110, 7234.79425624200},
1348 { 0.00000000415, 0.96862624176, 4136.91043351620},
1349 { 0.00000000387, 3.09145061418, 25158.60171976540},
1350 { 0.00000000373, 2.65119262808, 7342.45778018060},
1351 { 0.00000000361, 2.97762937735, 9623.68827669120},
1352 { 0.00000000418, 3.75759994446, 5230.80746680300},
1353 { 0.00000000396, 1.22507712354, 6438.49624942560},
1354 { 0.00000000322, 1.21162178805, 8662.24032356300},
1355 { 0.00000000284, 5.64170320179, 1589.07289528380},
1356 { 0.00000000379, 1.72248432756, 14945.31617355440},
1357 { 0.00000000320, 3.94161159658, 7330.82316174610},
1358 { 0.00000000313, 5.47602376451, 1194.44701022460},
1359 { 0.00000000292, 1.38971327568, 11769.85369316640},
1360 { 0.00000000305, 0.80429352049, 37724.75341974820},
1361 { 0.00000000257, 5.81382810029, 426.59819087600},
1362 { 0.00000000265, 6.10358507671, 6836.64525283380},
1363 { 0.00000000250, 4.56452895547, 7477.52286021600},
1364 { 0.00000000266, 2.62926282354, 7238.67559160000},
1365 { 0.00000000263, 6.22089501237, 6133.51265285680},
1366 { 0.00000000306, 2.79682380532, 1748.01641306700},
1367 { 0.00000000236, 2.46093023707, 11371.70468975820},
1368 { 0.00000000316, 1.62662805006, 250908.49012041549},
1369 { 0.00000000216, 3.68721275185, 5849.36411211460},
1370 { 0.00000000230, 0.36165162947, 5863.59120611620},
1371 { 0.00000000233, 5.03509933618, 20426.57109242200},
1372 { 0.00000000200, 5.86073159059, 4535.05943692440},
1373 { 0.00000000277, 4.65400292395, 82239.16695779889},
1374 { 0.00000000209, 3.72323200803, 10973.55568635000},
1375 { 0.00000000199, 5.05186622555, 5429.87946823940},
1376 { 0.00000000256, 2.40923279886, 19651.04848109800},
1377 { 0.00000000210, 4.50691909144, 29088.81141598500},
1378 { 0.00000000181, 6.00294783127, 4292.33083295040},
1379 { 0.00000000249, 0.12900984422, 154379.79562448629},
1380 { 0.00000000209, 3.87759458541, 17789.84561978500},
1381 { 0.00000000225, 3.18339652605, 18875.52586977400},
1382 { 0.00000000191, 4.53897489216, 18477.10876461230},
1383 { 0.00000000172, 2.09694182730, 13095.84266507740},
1384 { 0.00000000182, 3.16107943487, 16730.46368959580},
1385 { 0.00000000188, 2.22746128596, 41654.96311596780},
1386 { 0.00000000164, 5.18686274999, 5481.25491886760},
1387 { 0.00000000160, 2.49298855020, 12592.45001978260},
1388 { 0.00000000155, 1.59595438224, 10021.83728009940},
1389 { 0.00000000135, 0.21349051305, 10988.80815753500},
1390 { 0.00000000178, 3.80375178044, 23581.25817731760},
1391 { 0.00000000123, 1.66800739151, 15110.46611986620},
1392 { 0.00000000122, 2.72678272224, 18849.22754997420},
1393 { 0.00000000126, 1.17675512872, 14919.01785375460},
1394 { 0.00000000142, 3.95053440992, 337.81426319640},
1395 { 0.00000000116, 6.06340906212, 6709.67404086740},
1396 { 0.00000000137, 3.52143246244, 12139.55350910680},
1397 { 0.00000000136, 2.92179113491, 32217.20018108080},
1398 { 0.00000000110, 3.51203379263, 18052.92954315780},
1399 { 0.00000000147, 4.63371971408, 22805.73556599360},
1400 { 0.00000000108, 5.45280815225, 7.11354700080},
1401 { 0.00000000148, 0.65447253687, 95480.94718417450},
1402 { 0.00000000119, 5.92110458985, 33019.02111220460},
1403 { 0.00000000110, 5.34824206403, 639.89728631400},
1404 { 0.00000000106, 3.71081682614, 14314.16811304980},
1405 { 0.00000000139, 6.17607198262, 24356.78078864160},
1406 { 0.00000000118, 5.59738712949, 161338.50000087050},
1407 { 0.00000000117, 3.65065271640, 45585.17281218740},
1408 { 0.00000000127, 4.74596574209, 49515.38250840700},
1409 { 0.00000000120, 1.04211499785, 6915.85958930460},
1410 { 0.00000000120, 5.60638811846, 5650.29211067820},
1411 { 0.00000000115, 3.10668213303, 14712.31711645800},
1412 { 0.00000000099, 0.69018939930, 12779.45079542080},
1413 { 0.00000000097, 1.07908724794, 9917.69687450980},
1414 { 0.00000000093, 2.62295197146, 17260.15465469040},
1415 { 0.00000000099, 4.45774681732, 4933.20844033260},
1416 { 0.00000000123, 1.37488921994, 28286.99048486120},
1417 { 0.00000000121, 5.19767249869, 27511.46787353720},
1418 { 0.00000000105, 0.87192268229, 77375.95720492408},
1419 { 0.00000000087, 3.93637812950, 17654.78053974960},
1420 { 0.00000000122, 2.23956068680, 83997.09113559539},
1421 { 0.00000000087, 4.18201600921, 22779.43724619380},
1422 { 0.00000000104, 4.59580877285, 1349.86740965880},
1423 { 0.00000000102, 2.83545248595, 12352.85260454480},
1424 { 0.00000000102, 3.97386522171, 10818.13528691580},
1425 { 0.00000000101, 4.32892825818, 36147.40987730040},
1426 { 0.00000000094, 5.00001709338, 150192.21439800429},
1427 { 0.00000000077, 3.97199369300, 1592.59601363280},
1428 { 0.00000000100, 6.07733097102, 26735.94526221320},
1429 { 0.00000000086, 5.26029638250, 28313.28880466100},
1430 { 0.00000000093, 4.31900620254, 44809.65020086340},
1431 { 0.00000000076, 6.22743405935, 13521.75144159140},
1432 { 0.00000000072, 1.55820597747, 6256.77753019160},
1433 { 0.00000000082, 4.95202664555, 10575.40668294180},
1434 { 0.00000000082, 1.69647647075, 1990.74501704100},
1435 { 0.00000000075, 2.29836095644, 3634.62102451840},
1436 { 0.00000000075, 2.66367876557, 16200.77272450120},
1437 { 0.00000000087, 0.26630214764, 31441.67756975680},
1438 { 0.00000000077, 2.25530952876, 5235.32853823670},
1439 { 0.00000000076, 1.09869730334, 12903.96596317920},
1440 { 0.00000000058, 4.28246137794, 12559.03815298200},
1441 { 0.00000000064, 5.51112829602, 173904.65170085328},
1442 { 0.00000000056, 2.60133794851, 73188.37597844210},
1443 { 0.00000000055, 5.81483150022, 143233.51002162008},
1444 { 0.00000000054, 3.38482031504, 323049.11878710288},
1445 { 0.00000000039, 3.28500401937, 71768.50988132549},
1446 { 0.00000000039, 3.11239910096, 96900.81328129109},
1447 };
1448
1449
1450 static const struct ln_vsop earth_latitude_b1[LAT_B1] = {
1451 { 0.00227777722, 3.41376620530, 6283.07584999140},
1452 { 0.00003805678, 3.37063423795, 12566.15169998280},
1453 { 0.00003619589, 0.00000000000, 0.00000000000},
1454 { 0.00000071542, 3.32777549735, 18849.22754997420},
1455 { 0.00000007655, 1.79489607186, 5223.69391980220},
1456 { 0.00000008107, 3.89190403643, 5507.55323866740},
1457 { 0.00000006456, 5.19789424750, 2352.86615377180},
1458 { 0.00000003894, 2.15568517178, 6279.55273164240},
1459 { 0.00000003892, 1.53021064904, 6286.59896834040},
1460 { 0.00000003897, 4.87293945629, 10213.28554621100},
1461 { 0.00000003812, 1.43523182316, 12036.46073488820},
1462 { 0.00000003577, 2.32913869227, 83996.84731811189},
1463 { 0.00000003570, 4.92637739003, 71430.69561812909},
1464 { 0.00000003494, 2.20864641831, 529.69096509460},
1465 { 0.00000002421, 6.22876183393, 7860.41939243920},
1466 { 0.00000002056, 3.06747139741, 14143.49524243060},
1467 { 0.00000001399, 0.50107877909, 6309.37416979120},
1468 { 0.00000001417, 3.28454570977, 25132.30339996560},
1469 { 0.00000001544, 1.82062047625, 5856.47765911540},
1470 { 0.00000001457, 1.75339303307, 5884.92684658320},
1471 { 0.00000001497, 2.19673914456, 9437.76293488700},
1472 { 0.00000001549, 5.73650061398, 17789.84561978500},
1473 { 0.00000001277, 3.96721717330, 4705.73230754360},
1474 { 0.00000001038, 2.94818701170, 6256.77753019160},
1475 { 0.00000001018, 2.24114547164, 6681.22485339960},
1476 { 0.00000001021, 1.46795026130, 11790.62908865880},
1477 { 0.00000000916, 3.72965830745, 1059.38193018920},
1478 { 0.00000001156, 6.04591336669, 398.14900340820},
1479 { 0.00000001240, 0.77195902957, 6812.76681508600},
1480 { 0.00000001115, 3.92255876225, 12168.00269657460},
1481 { 0.00000000908, 1.78447918237, 3930.20969621960},
1482 { 0.00000000833, 0.09941579828, 11506.76976979360},
1483 { 0.00000000790, 2.45555993228, 775.52261132400},
1484 { 0.00000000666, 4.40761401665, 5753.38488489680},
1485 { 0.00000000520, 1.60179602491, 4694.00295470760},
1486 { 0.00000000382, 0.26754532042, 1577.34354244780},
1487 { 0.00000000405, 1.97558286872, 6283.00853968860},
1488 { 0.00000000405, 1.53147989887, 6283.14316029419},
1489 { 0.00000000388, 2.59563818411, 7058.59846131540},
1490 { 0.00000000341, 3.61275156842, 13367.97263110660},
1491 { 0.00000000280, 4.63052251735, 796.29800681640},
1492 { 0.00000000276, 0.43350778219, 7079.37385680780},
1493 { 0.00000000311, 5.28219636656, 17260.15465469040},
1494 { 0.00000000275, 5.27597553634, 11769.85369316640},
1495 { 0.00000000286, 2.98639716345, 6275.96230299060},
1496 { 0.00000000251, 2.81315684448, 6290.18939699220},
1497 { 0.00000000239, 5.77837903893, 10977.07880469900},
1498 { 0.00000000228, 0.14375973844, 3738.76143010800},
1499 { 0.00000000227, 2.51020991853, 7084.89678111520},
1500 { 0.00000000211, 4.72029465470, 6496.37494542940},
1501 { 0.00000000234, 3.11535274010, 709.93304855830},
1502 { 0.00000000234, 0.57075817620, 11856.21865142450},
1503 { 0.00000000237, 2.38791907394, 213.29909543800},
1504 { 0.00000000227, 1.12059781634, 12352.85260454480},
1505 { 0.00000000169, 3.20148089605, 5486.77784317500},
1506 { 0.00000000159, 3.14604135756, 8827.39026987480},
1507 { 0.00000000160, 1.14784478002, 5643.17856367740},
1508 { 0.00000000144, 5.23285657431, 78051.58573131690},
1509 { 0.00000000144, 1.16454654602, 90617.73743129970},
1510 { 0.00000000144, 3.81203756929, 6262.30045449900},
1511 { 0.00000000143, 5.97809021355, 6303.85124548380},
1512 { 0.00000000138, 4.29829933273, 1589.07289528380},
1513 { 0.00000000161, 3.03298851492, 20426.57109242200},
1514 { 0.00000000165, 5.09134896587, 17298.18232732620},
1515 { 0.00000000128, 4.41590143012, 6127.65545055720},
1516 { 0.00000000158, 2.00984506334, 5230.80746680300},
1517 { 0.00000000130, 1.44170683802, 12569.67481833180},
1518 { 0.00000000125, 1.69950379498, 3128.38876509580},
1519 { 0.00000000152, 4.96946111415, 65147.61976813770},
1520 { 0.00000000131, 4.24961399629, 6282.09552892320},
1521 { 0.00000000131, 5.54051222995, 6284.05617105960},
1522 { 0.00000000161, 3.32421999691, 6283.31966747490},
1523 { 0.00000000123, 2.93221463795, 15720.83878487840},
1524 { 0.00000000152, 1.56488157456, 18319.53658487960},
1525 { 0.00000000114, 1.89110005546, 18073.70493865020},
1526 { 0.00000000113, 4.95214866677, 4136.91043351620},
1527 { 0.00000000111, 4.79699611405, 8429.24126646660},
1528 { 0.00000000118, 3.06184958762, 22003.91463486980},
1529 { 0.00000000128, 2.09693027395, 12562.62858163380},
1530 { 0.00000000138, 0.84648544836, 6069.77675455340},
1531 { 0.00000000100, 0.41938790104, 5481.25491886760},
1532 { 0.00000000101, 4.43791289246, 19651.04848109800},
1533 { 0.00000000116, 1.87002428935, 77713.77146812050},
1534 { 0.00000000095, 0.68638183645, 3340.61242669980},
1535 { 0.00000000104, 4.90822646457, 8635.94200376320},
1536 { 0.00000000114, 0.36008214928, 23543.23050468179},
1537 { 0.00000000091, 1.17611219310, 9225.53927328300},
1538 { 0.00000000091, 2.74682631104, 5216.58037280140},
1539 { 0.00000000086, 3.09315282195, 1194.44701022460},
1540 { 0.00000000093, 6.27643513190, 12559.03815298200},
1541 { 0.00000000087, 3.64926989547, 7.11354700080},
1542 { 0.00000000083, 0.37008971174, 11371.70468975820},
1543 { 0.00000000098, 4.68473306376, 167283.76158766549},
1544 { 0.00000000098, 0.99865886857, 154717.60988768269},
1545 { 0.00000000086, 4.41152307486, 25934.12433108940},
1546 { 0.00000000098, 4.98209568932, 16496.36139620240},
1547 { 0.00000000085, 2.35438163823, 3154.68708489560},
1548 { 0.00000000083, 0.24859477658, 21228.39202354580},
1549 { 0.00000000076, 5.46661600296, 29864.33402730900},
1550 { 0.00000000069, 3.22045334237, 801.82093112380},
1551 { 0.00000000068, 2.19928242745, 37724.75341974820},
1552 { 0.00000000070, 5.33711014698, 2544.31441988340},
1553 { 0.00000000055, 5.37872238211, 11015.10647733480},
1554 { 0.00000000051, 5.03600618727, 5863.59120611620},
1555 { 0.00000000059, 3.54984809612, 4535.05943692440},
1556 { 0.00000000053, 1.50812064137, 7342.45778018060},
1557 { 0.00000000044, 1.33712241647, 4164.31198961300},
1558 { 0.00000000055, 5.38460045253, 7477.52286021600},
1559 { 0.00000000049, 5.61844340512, 24072.92146977640},
1560 { 0.00000000057, 6.17973522898, 8031.09226305840},
1561 { 0.00000000052, 4.24379064407, 5088.62883976680},
1562 { 0.00000000041, 3.41960196246, 26087.90314157420},
1563 { 0.00000000052, 1.68150981131, 25158.60171976540},
1564 { 0.00000000053, 0.11041408311, 29088.81141598500},
1565 { 0.00000000043, 0.53354396923, 2146.16541647520},
1566 { 0.00000000050, 0.60270799844, 33794.54372352860},
1567 { 0.00000000045, 1.69577010458, 6702.56049386660},
1568 { 0.00000000037, 6.09033460795, 64809.80550494129},
1569 { 0.00000000044, 2.67993061247, 15110.46611986620},
1570 { 0.00000000047, 3.62555676035, 41654.96311596780},
1571 { 0.00000000036, 0.47219666269, 13095.84266507740},
1572 { 0.00000000035, 5.99520523215, 23581.25817731760},
1573 { 0.00000000043, 4.08726331262, 156137.47598479928},
1574 { 0.00000000043, 5.17376496602, 18422.62935909819},
1575 { 0.00000000034, 2.14460100274, 4933.20844033260},
1576 { 0.00000000030, 4.12992793541, 426.59819087600},
1577 { 0.00000000036, 2.28596930002, 90279.92316810328},
1578 { 0.00000000032, 0.81117747619, 26.29831979980},
1579 { 0.00000000028, 4.07036560467, 14712.31711645800},
1580 { 0.00000000025, 1.92905243842, 1748.01641306700},
1581 { 0.00000000024, 5.06152880842, 16730.46368959580},
1582 { 0.00000000023, 3.24047012195, 31415.37924995700},
1583 { 0.00000000027, 3.90672018305, 18451.07854656599},
1584 { 0.00000000021, 3.51419811826, 10447.38783960440},
1585 };
1586
1587
1588 static const struct ln_vsop earth_latitude_b2[LAT_B2] = {
1589 { 0.00009721424, 5.15192809920, 6283.07584999140},
1590 { 0.00000233002, 3.14159265359, 0.00000000000},
1591 { 0.00000134188, 0.64406212977, 12566.15169998280},
1592 { 0.00000006504, 1.07333397797, 18849.22754997420},
1593 { 0.00000001662, 1.62746869551, 84334.66158130829},
1594 { 0.00000000635, 3.51985338656, 6279.55273164240},
1595 { 0.00000000492, 2.41382223971, 1047.74731175470},
1596 { 0.00000000307, 6.10181422085, 5223.69391980220},
1597 { 0.00000000322, 0.37660897389, 6286.59896834040},
1598 { 0.00000000326, 2.35727931602, 5507.55323866740},
1599 { 0.00000000274, 1.65307581765, 7860.41939243920},
1600 { 0.00000000228, 1.14082932988, 25132.30339996560},
1601 { 0.00000000202, 0.49836682530, 2352.86615377180},
1602 { 0.00000000201, 0.15552765600, 10213.28554621100},
1603 { 0.00000000167, 3.98005254015, 529.69096509460},
1604 { 0.00000000170, 5.28668290523, 6256.77753019160},
1605 { 0.00000000166, 3.04613930284, 12036.46073488820},
1606 { 0.00000000153, 4.06779216239, 83996.84731811189},
1607 { 0.00000000150, 3.18772213951, 71430.69561812909},
1608 { 0.00000000120, 3.13558669517, 5884.92684658320},
1609 { 0.00000000123, 4.17102530625, 6309.37416979120},
1610 { 0.00000000100, 1.46356761368, 11506.76976979360},
1611 { 0.00000000100, 3.00322421365, 11790.62908865880},
1612 { 0.00000000077, 1.65643898948, 4705.73230754360},
1613 { 0.00000000068, 6.03791904123, 6812.76681508600},
1614 { 0.00000000075, 4.85191600582, 14143.49524243060},
1615 { 0.00000000079, 4.12628805658, 5753.38488489680},
1616 { 0.00000000064, 2.71944160460, 6127.65545055720},
1617 { 0.00000000063, 0.78655326011, 6438.49624942560},
1618 { 0.00000000075, 0.84213523741, 167621.57585086189},
1619 { 0.00000000051, 4.55059044701, 5486.77784317500},
1620 { 0.00000000050, 5.29314320585, 7079.37385680780},
1621 { 0.00000000045, 0.33147576416, 775.52261132400},
1622 { 0.00000000043, 3.61793711640, 1577.34354244780},
1623 { 0.00000000057, 6.15295833679, 12194.03291462090},
1624 { 0.00000000045, 1.18274698508, 17789.84561978500},
1625 { 0.00000000047, 1.11643162773, 398.14900340820},
1626 { 0.00000000047, 5.52984238430, 12168.00269657460},
1627 { 0.00000000042, 2.64375300620, 10988.80815753500},
1628 { 0.00000000037, 0.31226891972, 6681.22485339960},
1629 { 0.00000000046, 3.38617099014, 156475.29024799570},
1630 { 0.00000000033, 1.26266496002, 6290.18939699220},
1631 { 0.00000000033, 2.25067065498, 6275.96230299060},
1632 { 0.00000000027, 1.72859626293, 1059.38193018920},
1633 { 0.00000000028, 2.88681054153, 796.29800681640},
1634 { 0.00000000030, 5.52021264181, 7058.59846131540},
1635 { 0.00000000021, 6.22275008403, 6069.77675455340},
1636 { 0.00000000024, 5.83690442827, 6282.09552892320},
1637 { 0.00000000024, 3.95322179797, 6284.05617105960},
1638 { 0.00000000021, 4.87022458966, 3738.76143010800},
1639 { 0.00000000021, 3.58048145762, 6496.37494542940},
1640 { 0.00000000022, 1.97770318395, 7.11354700080},
1641 { 0.00000000019, 3.45979888770, 4136.91043351620},
1642 { 0.00000000015, 2.81379880771, 1589.07289528380},
1643 { 0.00000000015, 1.61313151838, 1194.44701022460},
1644 { 0.00000000015, 0.63083434831, 11769.85369316640},
1645 { 0.00000000019, 0.28082047767, 17260.15465469040},
1646 { 0.00000000017, 1.35165136146, 78051.58573131690},
1647 { 0.00000000015, 2.30941599560, 11856.21865142450},
1648 { 0.00000000012, 1.12997370513, 90617.73743129970},
1649 { 0.00000000012, 0.00611601597, 18073.70493865020},
1650 { 0.00000000012, 1.70058636365, 12559.03815298200},
1651 };
1652
1653
1654 static const struct ln_vsop earth_latitude_b3[LAT_B3] = {
1655 { 0.00000275993, 0.59480097092, 6283.07584999140},
1656 { 0.00000017034, 3.14159265359, 0.00000000000},
1657 { 0.00000003617, 0.11750575325, 12566.15169998280},
1658 { 0.00000000339, 5.66087461682, 18849.22754997420},
1659 { 0.00000000056, 5.02765554835, 6279.55273164240},
1660 { 0.00000000019, 5.99007646261, 6256.77753019160},
1661 { 0.00000000018, 3.80004734567, 6309.37416979120},
1662 { 0.00000000018, 1.21049250774, 6127.65545055720},
1663 { 0.00000000018, 2.29734567137, 6438.49624942560},
1664 { 0.00000000015, 4.72881467263, 6286.59896834040},
1665 { 0.00000000012, 0.41481671808, 83996.84731811189},
1666 { 0.00000000013, 5.54637369296, 25132.30339996560},
1667 { 0.00000000010, 2.91937214232, 71430.69561812909},
1668 { 0.00000000006, 2.14173241210, 11856.21865142450},
1669 };
1670
1671
1672 static const struct ln_vsop earth_latitude_b4[LAT_B4] = {
1673 { 0.00000005745, 2.26734029843, 6283.07584999140},
1674 { 0.00000000870, 0.00000000000, 0.00000000000},
1675 { 0.00000000119, 4.26807972611, 12566.15169998280},
1676 { 0.00000000017, 4.07422620440, 18849.22754997420},
1677 { 0.00000000005, 0.84308705203, 1047.74731175470},
1678 { 0.00000000005, 0.05711572303, 84334.66158130829},
1679 };
1680
1681
1682 static const struct ln_vsop earth_latitude_b5[LAT_B5] = {
1683 { 0.00000000114, 4.31455980099, 6283.07584999140},
1684 { 0.00000000024, 0.00000000000, 0.00000000000},
1685 };
1686
1687
1688 static const struct ln_vsop earth_radius_r0[RADIUS_R0] = {
1689 { 1.00013988784, 0.00000000000, 0.00000000000},
1690 { 0.01670699632, 3.09846350258, 6283.07584999140},
1691 { 0.00013956024, 3.05524609456, 12566.15169998280},
1692 { 0.00003083720, 5.19846674381, 77713.77146812050},
1693 { 0.00001628463, 1.17387558054, 5753.38488489680},
1694 { 0.00001575572, 2.84685214877, 7860.41939243920},
1695 { 0.00000924799, 5.45292236722, 11506.76976979360},
1696 { 0.00000542439, 4.56409151453, 3930.20969621960},
1697 { 0.00000472110, 3.66100022149, 5884.92684658320},
1698 { 0.00000328780, 5.89983686142, 5223.69391980220},
1699 { 0.00000345969, 0.96368627272, 5507.55323866740},
1700 { 0.00000306784, 0.29867139512, 5573.14280143310},
1701 { 0.00000174844, 3.01193636733, 18849.22754997420},
1702 { 0.00000243181, 4.27349530790, 11790.62908865880},
1703 { 0.00000211836, 5.84714461348, 1577.34354244780},
1704 { 0.00000185740, 5.02199710705, 10977.07880469900},
1705 { 0.00000109835, 5.05510635860, 5486.77784317500},
1706 { 0.00000098316, 0.88681311278, 6069.77675455340},
1707 { 0.00000086500, 5.68956418946, 15720.83878487840},
1708 { 0.00000085831, 1.27079125277, 161000.68573767410},
1709 { 0.00000062917, 0.92177053978, 529.69096509460},
1710 { 0.00000057056, 2.01374292245, 83996.84731811189},
1711 { 0.00000064908, 0.27251341435, 17260.15465469040},
1712 { 0.00000049384, 3.24501240359, 2544.31441988340},
1713 { 0.00000055736, 5.24159799170, 71430.69561812909},
1714 { 0.00000042520, 6.01110257982, 6275.96230299060},
1715 { 0.00000046966, 2.57799853213, 775.52261132400},
1716 { 0.00000038963, 5.36063832897, 4694.00295470760},
1717 { 0.00000044666, 5.53715663816, 9437.76293488700},
1718 { 0.00000035661, 1.67447135798, 12036.46073488820},
1719 { 0.00000031922, 0.18368299942, 5088.62883976680},
1720 { 0.00000031846, 1.77775642078, 398.14900340820},
1721 { 0.00000033193, 0.24370221704, 7084.89678111520},
1722 { 0.00000038245, 2.39255343973, 8827.39026987480},
1723 { 0.00000028468, 1.21344887533, 6286.59896834040},
1724 { 0.00000037486, 0.82961281844, 19651.04848109800},
1725 { 0.00000036957, 4.90107587287, 12139.55350910680},
1726 { 0.00000034537, 1.84270693281, 2942.46342329160},
1727 { 0.00000026275, 4.58896863104, 10447.38783960440},
1728 { 0.00000024596, 3.78660838036, 8429.24126646660},
1729 { 0.00000023587, 0.26866098169, 796.29800681640},
1730 { 0.00000027795, 1.89934427832, 6279.55273164240},
1731 { 0.00000023927, 4.99598548145, 5856.47765911540},
1732 { 0.00000020345, 4.65282190725, 2146.16541647520},
1733 { 0.00000023287, 2.80783632869, 14143.49524243060},
1734 { 0.00000022099, 1.95002636847, 3154.68708489560},
1735 { 0.00000019509, 5.38233922479, 2352.86615377180},
1736 { 0.00000017958, 0.19871369960, 6812.76681508600},
1737 { 0.00000017178, 4.43322156854, 10213.28554621100},
1738 { 0.00000016190, 5.23159323213, 17789.84561978500},
1739 { 0.00000017315, 6.15224075188, 16730.46368959580},
1740 { 0.00000013814, 5.18962074032, 8031.09226305840},
1741 { 0.00000018834, 0.67280058021, 149854.40013480789},
1742 { 0.00000018330, 2.25348717053, 23581.25817731760},
1743 { 0.00000013639, 3.68511810757, 4705.73230754360},
1744 { 0.00000013142, 0.65267698994, 13367.97263110660},
1745 { 0.00000010414, 4.33285688501, 11769.85369316640},
1746 { 0.00000009978, 4.20126336356, 6309.37416979120},
1747 { 0.00000010170, 1.59366684542, 4690.47983635860},
1748 { 0.00000007564, 2.62560597391, 6256.77753019160},
1749 { 0.00000009654, 3.67583728703, 27511.46787353720},
1750 { 0.00000006743, 0.56269927047, 3340.61242669980},
1751 { 0.00000008743, 6.06359123461, 1748.01641306700},
1752 { 0.00000007786, 3.67371235367, 12168.00269657460},
1753 { 0.00000006633, 5.66149277789, 11371.70468975820},
1754 { 0.00000007712, 0.31242577788, 7632.94325965020},
1755 { 0.00000006586, 3.13580054586, 801.82093112380},
1756 { 0.00000007460, 5.64758066660, 11926.25441366880},
1757 { 0.00000006933, 2.92384586372, 6681.22485339960},
1758 { 0.00000006805, 1.42327153767, 23013.53953958720},
1759 { 0.00000006118, 5.13395999022, 1194.44701022460},
1760 { 0.00000006477, 2.64986648493, 19804.82729158280},
1761 { 0.00000005233, 4.62432817299, 6438.49624942560},
1762 { 0.00000006147, 3.02863936662, 233141.31440436149},
1763 { 0.00000004608, 1.72194702724, 7234.79425624200},
1764 { 0.00000004221, 1.55697533726, 7238.67559160000},
1765 { 0.00000005310, 2.40821524293, 11499.65622279280},
1766 { 0.00000005128, 5.32398965690, 11513.88331679440},
1767 { 0.00000004770, 0.25554311730, 11856.21865142450},
1768 { 0.00000005519, 2.09089153789, 17298.18232732620},
1769 { 0.00000005625, 4.34052903053, 90955.55169449610},
1770 { 0.00000004578, 4.46569641570, 5746.27133789600},
1771 { 0.00000003788, 4.90728294810, 4164.31198961300},
1772 { 0.00000005337, 5.09957905103, 31441.67756975680},
1773 { 0.00000003967, 1.20054555175, 1349.86740965880},
1774 { 0.00000004005, 3.02853885902, 1059.38193018920},
1775 { 0.00000003480, 0.76066308841, 10973.55568635000},
1776 { 0.00000004232, 1.05485713117, 5760.49843189760},
1777 { 0.00000004582, 3.76570026763, 6386.16862421000},
1778 { 0.00000003335, 3.13829943354, 6836.64525283380},
1779 { 0.00000003420, 3.00043974511, 4292.33083295040},
1780 { 0.00000003595, 5.70703236079, 5643.17856367740},
1781 { 0.00000003236, 4.16387400645, 9917.69687450980},
1782 { 0.00000004154, 2.59940749519, 7058.59846131540},
1783 { 0.00000003362, 4.54577164994, 4732.03062734340},
1784 { 0.00000002978, 1.30561268820, 6283.14316029419},
1785 { 0.00000002765, 0.51311975671, 26.29831979980},
1786 { 0.00000002807, 5.66230537649, 8635.94200376320},
1787 { 0.00000002927, 5.73787834080, 16200.77272450120},
1788 { 0.00000003167, 1.69181759900, 11015.10647733480},
1789 { 0.00000002598, 2.96244118358, 25132.30339996560},
1790 { 0.00000003519, 3.62639325753, 244287.60000722769},
1791 { 0.00000002676, 4.20727719487, 18073.70493865020},
1792 { 0.00000002978, 1.74971565805, 6283.00853968860},
1793 { 0.00000002287, 1.06976449088, 14314.16811304980},
1794 { 0.00000002863, 5.92838917309, 14712.31711645800},
1795 { 0.00000003071, 0.23793217000, 35371.88726597640},
1796 { 0.00000002656, 0.89959301615, 12352.85260454480},
1797 { 0.00000002415, 2.79975176800, 709.93304855830},
1798 { 0.00000002811, 3.51513864541, 21228.39202354580},
1799 { 0.00000001977, 2.61358297551, 951.71840625060},
1800 { 0.00000002548, 2.47684686575, 6208.29425142410},
1801 { 0.00000001999, 0.56090396506, 7079.37385680780},
1802 { 0.00000002305, 1.05376463592, 22483.84857449259},
1803 { 0.00000001855, 2.86093570752, 5216.58037280140},
1804 { 0.00000002157, 1.31395211105, 154717.60988768269},
1805 { 0.00000001970, 4.36931551625, 167283.76158766549},
1806 { 0.00000001754, 2.14452400686, 6290.18939699220},
1807 { 0.00000001628, 5.85704450617, 10984.19235169980},
1808 { 0.00000002154, 6.03828353794, 10873.98603048040},
1809 { 0.00000001714, 3.70158195222, 1592.59601363280},
1810 { 0.00000001541, 6.21599512982, 23543.23050468179},
1811 { 0.00000001602, 1.99860679677, 10969.96525769820},
1812 { 0.00000001712, 1.34295218697, 3128.38876509580},
1813 { 0.00000001647, 5.54948299069, 6496.37494542940},
1814 { 0.00000001495, 5.43980459648, 155.42039943420},
1815 { 0.00000001827, 5.91227480351, 3738.76143010800},
1816 { 0.00000001726, 2.16765465036, 10575.40668294180},
1817 { 0.00000001532, 5.35683107063, 13521.75144159140},
1818 { 0.00000001824, 1.66056145084, 39302.09696219600},
1819 { 0.00000001605, 1.90930973224, 6133.51265285680},
1820 { 0.00000001282, 2.46013372544, 13916.01910964160},
1821 { 0.00000001211, 4.41360631550, 3894.18182954220},
1822 { 0.00000001394, 1.77801929250, 9225.53927328300},
1823 { 0.00000001571, 4.95512957606, 25158.60171976540},
1824 { 0.00000001205, 1.19212756308, 3.52311834900},
1825 { 0.00000001132, 2.69830084955, 6040.34724601740},
1826 { 0.00000001504, 5.77577388271, 18209.33026366019},
1827 { 0.00000001393, 1.62625077326, 5120.60114558360},
1828 { 0.00000001081, 2.93726744446, 17256.63153634140},
1829 { 0.00000001232, 0.71651766504, 143571.32428481648},
1830 { 0.00000001087, 0.99769687961, 955.59974160860},
1831 { 0.00000001068, 5.28472576591, 65147.61976813770},
1832 { 0.00000001169, 3.11663802316, 14945.31617355440},
1833 { 0.00000000975, 5.10887260780, 6172.86952877200},
1834 { 0.00000001202, 4.02992510403, 553.56940284240},
1835 { 0.00000000979, 2.00000879106, 15110.46611986620},
1836 { 0.00000000962, 4.02380771400, 6282.09552892320},
1837 { 0.00000000999, 3.62643002790, 6262.30045449900},
1838 { 0.00000001030, 5.84987815239, 213.29909543800},
1839 { 0.00000001014, 2.84227679965, 8662.24032356300},
1840 { 0.00000001185, 1.51330629149, 17654.78053974960},
1841 { 0.00000000967, 2.67081017562, 5650.29211067820},
1842 { 0.00000001222, 2.65423784904, 88860.05707098669},
1843 { 0.00000000986, 2.36212814824, 6206.80977871580},
1844 { 0.00000001034, 0.13634950642, 11712.95531823080},
1845 { 0.00000001103, 3.08477302937, 43232.30665841560},
1846 { 0.00000000781, 2.53374971725, 16496.36139620240},
1847 { 0.00000001019, 3.04569392376, 6037.24420376200},
1848 { 0.00000000795, 5.80662989126, 5230.80746680300},
1849 { 0.00000000813, 3.57702871938, 10177.25767953360},
1850 { 0.00000000962, 5.31470594766, 6284.05617105960},
1851 { 0.00000000717, 5.95797471837, 12559.03815298200},
1852 { 0.00000000967, 2.74413738053, 6244.94281435360},
1853 { 0.00000000921, 0.10160160830, 29088.81141598500},
1854 { 0.00000000719, 5.91788189939, 4136.91043351620},
1855 { 0.00000000688, 3.89489045092, 1589.07289528380},
1856 { 0.00000000772, 4.05505380285, 6127.65545055720},
1857 { 0.00000000706, 5.49323197725, 22003.91463486980},
1858 { 0.00000000665, 1.60002747134, 11087.28512591840},
1859 { 0.00000000690, 4.50539825729, 426.59819087600},
1860 { 0.00000000854, 3.26104645060, 20426.57109242200},
1861 { 0.00000000656, 4.32410182940, 16858.48253293320},
1862 { 0.00000000840, 2.59572585212, 28766.92442448400},
1863 { 0.00000000686, 0.61944033771, 11403.67699557500},
1864 { 0.00000000700, 3.40901412473, 7.11354700080},
1865 { 0.00000000728, 0.04050185963, 5481.25491886760},
1866 { 0.00000000653, 1.03869451230, 6062.66320755260},
1867 { 0.00000000559, 4.79221805695, 20199.09495963300},
1868 { 0.00000000633, 5.70229959167, 45892.73043315699},
1869 { 0.00000000591, 6.10986487621, 9623.68827669120},
1870 { 0.00000000520, 3.62310356479, 5333.90024102160},
1871 { 0.00000000602, 5.58381898589, 10344.29506538580},
1872 { 0.00000000496, 2.21027756314, 1990.74501704100},
1873 { 0.00000000691, 1.96733114988, 12416.58850284820},
1874 { 0.00000000640, 1.59062417043, 18319.53658487960},
1875 { 0.00000000625, 3.82358168221, 13517.87010623340},
1876 { 0.00000000475, 1.17025904180, 12569.67481833180},
1877 { 0.00000000660, 5.08498512995, 283.85931886520},
1878 { 0.00000000664, 4.50029469969, 47162.51635463520},
1879 { 0.00000000569, 0.16318535463, 17267.26820169119},
1880 { 0.00000000568, 3.86100969474, 6076.89030155420},
1881 { 0.00000000462, 0.26368763517, 4590.91018048900},
1882 { 0.00000000535, 4.83225423196, 18422.62935909819},
1883 { 0.00000000466, 0.75873879417, 7342.45778018060},
1884 { 0.00000000541, 3.07212190556, 226858.23855437008},
1885 { 0.00000000610, 1.53597089605, 33019.02111220460},
1886 { 0.00000000617, 2.62356328726, 11190.37790013700},
1887 { 0.00000000548, 4.55798855803, 18875.52586977400},
1888 { 0.00000000633, 4.60110281228, 66567.48586525429},
1889 { 0.00000000587, 5.78087907808, 632.78373931320},
1890 { 0.00000000603, 5.38458554802, 316428.22867391503},
1891 { 0.00000000525, 5.01522072363, 12132.43996210600},
1892 { 0.00000000469, 0.59975173763, 21954.15760939799},
1893 { 0.00000000548, 3.50627043672, 17253.04110768959},
1894 { 0.00000000502, 0.98804327589, 11609.86254401220},
1895 { 0.00000000568, 1.98497313089, 7668.63742494250},
1896 { 0.00000000482, 1.62460405687, 12146.66705610760},
1897 { 0.00000000391, 3.68718382972, 18052.92954315780},
1898 { 0.00000000457, 3.77214896610, 156137.47598479928},
1899 { 0.00000000401, 5.29221540240, 15671.08175940660},
1900 { 0.00000000469, 1.80963351735, 12562.62858163380},
1901 { 0.00000000514, 3.37031288919, 20597.24396304120},
1902 { 0.00000000452, 5.66811219778, 10454.50138660520},
1903 { 0.00000000375, 4.98528185039, 9779.10867612540},
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2206 { 0.00000000043, 5.64354880978, 1062.90504853820},
2207 { 0.00000000039, 3.92736779879, 3903.91137641980},
2208 { 0.00000000040, 5.39694918320, 9498.21223063460},
2209 { 0.00000000043, 2.40863861919, 29424.63423291600},
2210 { 0.00000000046, 2.08022244271, 12573.26524698360},
2211 { 0.00000000050, 6.15760345261, 78051.34191383338},
2212 };
2213
2214
2215 static const struct ln_vsop earth_radius_r1[RADIUS_R1] = {
2216 { 0.00103018607, 1.10748968172, 6283.07584999140},
2217 { 0.00001721238, 1.06442300386, 12566.15169998280},
2218 { 0.00000702217, 3.14159265359, 0.00000000000},
2219 { 0.00000032345, 1.02168583254, 18849.22754997420},
2220 { 0.00000030801, 2.84358443952, 5507.55323866740},
2221 { 0.00000024978, 1.31906570344, 5223.69391980220},
2222 { 0.00000018487, 1.42428709076, 1577.34354244780},
2223 { 0.00000010077, 5.91385248388, 10977.07880469900},
2224 { 0.00000008635, 0.27158192945, 5486.77784317500},
2225 { 0.00000008654, 1.42046854427, 6275.96230299060},
2226 { 0.00000005069, 1.68613408916, 5088.62883976680},
2227 { 0.00000004985, 6.01402338185, 6286.59896834040},
2228 { 0.00000004667, 5.98749245692, 529.69096509460},
2229 { 0.00000004395, 0.51800423445, 4694.00295470760},
2230 { 0.00000003870, 4.74932206877, 2544.31441988340},
2231 { 0.00000003755, 5.07053801166, 796.29800681640},
2232 { 0.00000004100, 1.08424801084, 9437.76293488700},
2233 { 0.00000003518, 0.02290216978, 83996.84731811189},
2234 { 0.00000003436, 0.94937503872, 71430.69561812909},
2235 { 0.00000003221, 6.15628775321, 2146.16541647520},
2236 { 0.00000003418, 5.41151581880, 775.52261132400},
2237 { 0.00000002863, 5.48433323746, 10447.38783960440},
2238 { 0.00000002525, 0.24296913555, 398.14900340820},
2239 { 0.00000002205, 4.94892172085, 6812.76681508600},
2240 { 0.00000002186, 0.41991932164, 8031.09226305840},
2241 { 0.00000002828, 3.41986300734, 2352.86615377180},
2242 { 0.00000002554, 6.13241770582, 6438.49624942560},
2243 { 0.00000001932, 5.31374587091, 8429.24126646660},
2244 { 0.00000002427, 3.09118902115, 4690.47983635860},
2245 { 0.00000001730, 1.53685999718, 4705.73230754360},
2246 { 0.00000002250, 3.68836395620, 7084.89678111520},
2247 { 0.00000002094, 1.28169060400, 1748.01641306700},
2248 { 0.00000001483, 3.22226346483, 7234.79425624200},
2249 { 0.00000001434, 0.81293662216, 14143.49524243060},
2250 { 0.00000001754, 3.22883705112, 6279.55273164240},
2251 { 0.00000001583, 4.09815978783, 11499.65622279280},
2252 { 0.00000001575, 5.53890314149, 3154.68708489560},
2253 { 0.00000001847, 1.82041234937, 7632.94325965020},
2254 { 0.00000001499, 3.63177937611, 11513.88331679440},
2255 { 0.00000001337, 4.64442556061, 6836.64525283380},
2256 { 0.00000001275, 2.69329661394, 1349.86740965880},
2257 { 0.00000001348, 6.15284035323, 5746.27133789600},
2258 { 0.00000001126, 3.35676107739, 17789.84561978500},
2259 { 0.00000001470, 3.65282991735, 1194.44701022460},
2260 { 0.00000001101, 4.49747427670, 4292.33083295040},
2261 { 0.00000001168, 2.58033028504, 13367.97263110660},
2262 { 0.00000001236, 5.64980098028, 5760.49843189760},
2263 { 0.00000000985, 0.65326301914, 5856.47765911540},
2264 { 0.00000000928, 2.32555018290, 10213.28554621100},
2265 { 0.00000001073, 5.82672338169, 12036.46073488820},
2266 { 0.00000000918, 0.76907130762, 16730.46368959580},
2267 { 0.00000000876, 1.50335727807, 11926.25441366880},
2268 { 0.00000001023, 5.62071200879, 6256.77753019160},
2269 { 0.00000000853, 0.65678134630, 155.42039943420},
2270 { 0.00000000802, 4.10519132094, 951.71840625060},
2271 { 0.00000000859, 1.42880883564, 5753.38488489680},
2272 { 0.00000000992, 1.14238001610, 1059.38193018920},
2273 { 0.00000000814, 1.63584008733, 6681.22485339960},
2274 { 0.00000000664, 4.55039663226, 5216.58037280140},
2275 { 0.00000000627, 1.50782904323, 5643.17856367740},
2276 { 0.00000000644, 4.19480024859, 6040.34724601740},
2277 { 0.00000000590, 6.18371704849, 4164.31198961300},
2278 { 0.00000000635, 0.52423584770, 6290.18939699220},
2279 { 0.00000000650, 0.97935492869, 25132.30339996560},
2280 { 0.00000000568, 2.30121525349, 10973.55568635000},
2281 { 0.00000000549, 5.26737827342, 3340.61242669980},
2282 { 0.00000000547, 2.20143332641, 1592.59601363280},
2283 { 0.00000000526, 0.92464258271, 11371.70468975820},
2284 { 0.00000000493, 5.91036281399, 3894.18182954220},
2285 { 0.00000000483, 1.66005711540, 12168.00269657460},
2286 { 0.00000000514, 3.59683072524, 10969.96525769820},
2287 { 0.00000000516, 3.97164781773, 17298.18232732620},
2288 { 0.00000000529, 5.03538677680, 9917.69687450980},
2289 { 0.00000000487, 2.50544745305, 6127.65545055720},
2290 { 0.00000000419, 4.05235655996, 10984.19235169980},
2291 { 0.00000000538, 5.54081539813, 553.56940284240},
2292 { 0.00000000402, 2.16859478359, 7860.41939243920},
2293 { 0.00000000552, 2.32219865498, 11506.76976979360},
2294 { 0.00000000367, 3.39145698451, 6496.37494542940},
2295 { 0.00000000360, 5.34467204596, 7079.37385680780},
2296 { 0.00000000334, 3.61346365667, 11790.62908865880},
2297 { 0.00000000454, 0.28755421898, 801.82093112380},
2298 { 0.00000000419, 3.69613970002, 10575.40668294180},
2299 { 0.00000000319, 0.30793759304, 16200.77272450120},
2300 { 0.00000000376, 5.81560210508, 7058.59846131540},
2301 { 0.00000000364, 1.08425056923, 6309.37416979120},
2302 { 0.00000000294, 4.54798604178, 11856.21865142450},
2303 { 0.00000000290, 1.26451946335, 8635.94200376320},
2304 { 0.00000000394, 4.15683669084, 26.29831979980},
2305 { 0.00000000260, 5.09424572996, 10177.25767953360},
2306 { 0.00000000241, 2.25766000302, 11712.95531823080},
2307 { 0.00000000239, 1.06936978753, 242.72860397400},
2308 { 0.00000000276, 3.44260568764, 5884.92684658320},
2309 { 0.00000000255, 5.38496803122, 21228.39202354580},
2310 { 0.00000000307, 4.24313885601, 3738.76143010800},
2311 { 0.00000000213, 3.44661200485, 213.29909543800},
2312 { 0.00000000198, 0.69427265195, 1990.74501704100},
2313 { 0.00000000195, 5.16563409007, 12352.85260454480},
2314 { 0.00000000213, 3.89937836808, 13916.01910964160},
2315 { 0.00000000214, 4.00445200772, 5230.80746680300},
2316 { 0.00000000184, 5.59805976614, 6283.14316029419},
2317 { 0.00000000184, 2.85275392124, 7238.67559160000},
2318 { 0.00000000179, 2.54259058252, 14314.16811304980},
2319 { 0.00000000236, 5.58826125715, 6069.77675455340},
2320 { 0.00000000189, 2.72689937708, 6062.66320755260},
2321 { 0.00000000184, 6.04216273598, 6283.00853968860},
2322 { 0.00000000225, 1.66128561344, 4732.03062734340},
2323 { 0.00000000230, 3.62591335086, 6284.05617105960},
2324 { 0.00000000172, 0.97566476085, 3930.20969621960},
2325 { 0.00000000162, 2.19467339429, 18073.70493865020},
2326 { 0.00000000215, 1.04672844028, 3496.03282613400},
2327 { 0.00000000182, 5.17782354566, 17253.04110768959},
2328 { 0.00000000167, 2.17754938066, 6076.89030155420},
2329 { 0.00000000167, 4.75672473773, 17267.26820169119},
2330 { 0.00000000149, 0.80944185798, 709.93304855830},
2331 { 0.00000000149, 0.17584214812, 9779.10867612540},
2332 { 0.00000000192, 5.00680790235, 11015.10647733480},
2333 { 0.00000000141, 4.38420380014, 4136.91043351620},
2334 { 0.00000000158, 4.60969054283, 9623.68827669120},
2335 { 0.00000000133, 3.30507062245, 154717.60988768269},
2336 { 0.00000000166, 6.13191098325, 3.52311834900},
2337 { 0.00000000181, 1.60715321141, 7.11354700080},
2338 { 0.00000000150, 5.28136702046, 13517.87010623340},
2339 { 0.00000000142, 0.49788089569, 25158.60171976540},
2340 { 0.00000000124, 6.03440459813, 9225.53927328300},
2341 { 0.00000000124, 0.99251562639, 65147.61976813770},
2342 { 0.00000000128, 1.92032744711, 22483.84857449259},
2343 { 0.00000000124, 3.99739675184, 4686.88940770680},
2344 { 0.00000000121, 2.37814805239, 167283.76158766549},
2345 { 0.00000000123, 5.62315112940, 5642.19824260920},
2346 { 0.00000000117, 5.81755956156, 12569.67481833180},
2347 { 0.00000000157, 3.40236948518, 16496.36139620240},
2348 { 0.00000000130, 2.10499918142, 1589.07289528380},
2349 { 0.00000000116, 0.55839966736, 5849.36411211460},
2350 { 0.00000000123, 5.81645568991, 6282.09552892320},
2351 { 0.00000000110, 0.42176497674, 6172.86952877200},
2352 { 0.00000000150, 4.26279600865, 3128.38876509580},
2353 { 0.00000000106, 2.27436561182, 5429.87946823940},
2354 { 0.00000000114, 1.52894564202, 12559.03815298200},
2355 { 0.00000000121, 0.39459045915, 12132.43996210600},
2356 { 0.00000000104, 2.41845930933, 426.59819087600},
2357 { 0.00000000109, 5.82786999856, 16858.48253293320},
2358 { 0.00000000102, 4.46626484910, 23543.23050468179},
2359 { 0.00000000100, 2.93812275274, 4535.05943692440},
2360 { 0.00000000097, 3.97935904984, 6133.51265285680},
2361 { 0.00000000098, 0.87616810121, 6525.80445396540},
2362 { 0.00000000110, 6.22339014386, 12146.66705610760},
2363 { 0.00000000098, 3.17344332543, 10440.27429260360},
2364 { 0.00000000096, 2.44128701699, 3097.88382272579},
2365 { 0.00000000099, 5.75642493267, 7342.45778018060},
2366 { 0.00000000090, 0.18984343165, 13119.72110282519},
2367 { 0.00000000099, 5.58884724219, 2388.89402044920},
2368 { 0.00000000091, 6.04278320182, 20426.57109242200},
2369 { 0.00000000080, 1.29028142103, 5650.29211067820},
2370 { 0.00000000086, 3.94529200528, 10454.50138660520},
2371 { 0.00000000085, 1.92836879835, 29088.81141598500},
2372 { 0.00000000076, 2.70726317966, 143571.32428481648},
2373 { 0.00000000091, 5.63859073351, 8827.39026987480},
2374 { 0.00000000076, 1.80783856698, 28286.99048486120},
2375 { 0.00000000075, 3.40858032804, 5481.25491886760},
2376 { 0.00000000070, 4.53719487231, 17256.63153634140},
2377 { 0.00000000089, 1.10064490942, 11769.85369316640},
2378 { 0.00000000066, 2.78384937771, 536.80451209540},
2379 { 0.00000000068, 3.88199295043, 17260.15465469040},
2380 { 0.00000000088, 3.88075269535, 7477.52286021600},
2381 { 0.00000000061, 6.17558202197, 11087.28512591840},
2382 { 0.00000000060, 4.34824715818, 6206.80977871580},
2383 { 0.00000000082, 4.59843208943, 9388.00590941520},
2384 { 0.00000000079, 1.63139280394, 4933.20844033260},
2385 { 0.00000000081, 1.55550779371, 9380.95967271720},
2386 { 0.00000000078, 4.20905757519, 5729.50644714900},
2387 { 0.00000000058, 5.76889633224, 3634.62102451840},
2388 { 0.00000000060, 0.93813100594, 12721.57209941700},
2389 { 0.00000000071, 6.11408885148, 8662.24032356300},
2390 { 0.00000000057, 5.48112524468, 18319.53658487960},
2391 { 0.00000000070, 0.01749174864, 14945.31617355440},
2392 { 0.00000000074, 1.09976045820, 16460.33352952499},
2393 { 0.00000000056, 1.63036186739, 15720.83878487840},
2394 { 0.00000000055, 4.86788348404, 13095.84266507740},
2395 { 0.00000000060, 5.93729841267, 12539.85338018300},
2396 { 0.00000000054, 0.22608242982, 15110.46611986620},
2397 { 0.00000000054, 2.30250047594, 16062.18452611680},
2398 { 0.00000000064, 2.13513754101, 7875.67186362420},
2399 { 0.00000000059, 5.87963500139, 5331.35744374080},
2400 { 0.00000000058, 2.30546168615, 955.59974160860},
2401 { 0.00000000049, 1.93839278478, 5333.90024102160},
2402 { 0.00000000054, 5.80331607119, 12043.57428188900},
2403 { 0.00000000054, 4.44671053809, 4701.11650170840},
2404 { 0.00000000049, 0.30241161485, 6805.65326808520},
2405 { 0.00000000046, 2.76898193028, 6709.67404086740},
2406 { 0.00000000046, 3.98449608961, 98068.53671630539},
2407 { 0.00000000049, 3.72022009896, 12323.42309600880},
2408 { 0.00000000045, 3.30065998328, 22003.91463486980},
2409 { 0.00000000048, 0.71071357303, 6303.43116939020},
2410 { 0.00000000061, 1.66030429494, 6262.30045449900},
2411 { 0.00000000047, 1.26317154881, 11919.14086666800},
2412 { 0.00000000051, 1.08020906825, 10988.80815753500},
2413 { 0.00000000045, 0.89150445122, 51868.24866217880},
2414 { 0.00000000043, 0.57756724285, 24356.78078864160},
2415 { 0.00000000043, 1.61526242998, 6277.55292568400},
2416 { 0.00000000045, 2.96132920534, 8982.81066930900},
2417 { 0.00000000043, 5.74295325645, 11403.67699557500},
2418 { 0.00000000055, 3.14274403422, 33019.02111220460},
2419 { 0.00000000057, 0.06379726305, 15671.08175940660},
2420 { 0.00000000041, 2.53761820726, 6262.72053059260},
2421 { 0.00000000040, 1.53130436944, 18451.07854656599},
2422 { 0.00000000052, 1.71451922581, 1551.04522264800},
2423 { 0.00000000055, 0.89439119424, 11933.36796066960},
2424 { 0.00000000045, 3.88495384656, 60530.48898574180},
2425 { 0.00000000040, 4.75740908001, 38526.57435087200},
2426 { 0.00000000040, 3.77498297348, 26087.90314157420},
2427 { 0.00000000039, 2.97113832621, 2118.76386037840},
2428 { 0.00000000040, 3.36050962605, 10021.83728009940},
2429 { 0.00000000047, 1.67051113434, 6303.85124548380},
2430 { 0.00000000052, 5.21827368711, 77713.77146812050},
2431 { 0.00000000047, 4.26356628717, 21424.46664430340},
2432 { 0.00000000037, 1.66712389942, 6819.88036208680},
2433 { 0.00000000037, 0.65746800933, 12029.34718788740},
2434 { 0.00000000035, 3.36255650927, 24072.92146977640},
2435 { 0.00000000036, 0.11087914947, 10344.29506538580},
2436 { 0.00000000040, 4.14725582115, 2787.04302385740},
2437 { 0.00000000035, 5.93650887012, 31570.79964939120},
2438 { 0.00000000036, 2.15108874765, 30774.50164257480},
2439 { 0.00000000036, 1.75078825382, 16207.88627150200},
2440 { 0.00000000034, 2.75708224536, 12139.55350910680},
2441 { 0.00000000034, 6.16891378800, 24491.42579258340},
2442 { 0.00000000034, 2.31528650443, 55798.45835839840},
2443 { 0.00000000032, 4.21446357042, 15664.03552270859},
2444 { 0.00000000034, 3.19783054699, 32217.20018108080},
2445 { 0.00000000039, 1.24979117796, 6418.14093002680},
2446 { 0.00000000038, 5.89832942685, 640.87760738220},
2447 { 0.00000000033, 4.80200120107, 16723.35014259500},
2448 { 0.00000000032, 1.72442327688, 27433.88921587499},
2449 { 0.00000000035, 4.44608896525, 18202.21671665939},
2450 { 0.00000000031, 4.52790731280, 6702.56049386660},
2451 { 0.00000000034, 3.96287980676, 18216.44381066100},
2452 { 0.00000000030, 5.06259854444, 226858.23855437008},
2453 { 0.00000000034, 1.43910280005, 49515.38250840700},
2454 { 0.00000000030, 0.29303163371, 13521.75144159140},
2455 { 0.00000000029, 2.02633840220, 11609.86254401220},
2456 { 0.00000000030, 2.54923230240, 9924.81042151060},
2457 { 0.00000000032, 4.91793198558, 11300.58422135640},
2458 { 0.00000000030, 0.23284423547, 23581.25817731760},
2459 { 0.00000000029, 1.62807736495, 639.89728631400},
2460 { 0.00000000028, 3.84568936822, 2699.73481931760},
2461 { 0.00000000029, 1.83149729794, 29822.78323632420},
2462 { 0.00000000033, 4.60320094415, 19004.64794940840},
2463 { 0.00000000027, 1.86151121799, 6288.59877429880},
2464 { 0.00000000030, 4.46494072240, 36147.40987730040},
2465 { 0.00000000028, 5.19684492912, 5863.59120611620},
2466 { 0.00000000035, 4.52695674113, 36949.23080842420},
2467 { 0.00000000027, 3.52528177609, 10770.89325626180},
2468 { 0.00000000026, 1.48499438453, 11080.17157891760},
2469 { 0.00000000035, 2.82154380962, 19402.79695281660},
2470 { 0.00000000025, 2.46339998836, 6279.48542133960},
2471 { 0.00000000026, 4.97688894643, 16737.57723659660},
2472 { 0.00000000027, 0.40827112500, 12964.30070339100},
2473 { 0.00000000029, 4.15148654061, 45892.73043315699},
2474 { 0.00000000026, 4.56404104286, 17796.95916678580},
2475 { 0.00000000025, 2.89309528854, 6286.66627864320},
2476 { 0.00000000026, 4.82914580957, 1066.49547719000},
2477 { 0.00000000031, 3.93096113738, 29864.33402730900},
2478 { 0.00000000024, 6.14987193584, 18606.49894600020},
2479 { 0.00000000024, 3.74225964547, 29026.48522950779},
2480 { 0.00000000025, 5.70460621565, 27707.54249429480},
2481 { 0.00000000025, 5.33928840652, 15141.39079431200},
2482 { 0.00000000023, 2.37624087345, 17996.03116822220},
2483 { 0.00000000026, 1.34231351782, 18875.52586977400},
2484 { 0.00000000022, 5.50791626120, 6245.04817735560},
2485 { 0.00000000024, 1.33998410121, 19800.94595622480},
2486 { 0.00000000023, 0.22512280890, 6279.78949257360},
2487 { 0.00000000022, 1.17576471775, 11925.27409260060},
2488 { 0.00000000022, 3.58603606640, 6915.85958930460},
2489 { 0.00000000023, 3.21621246666, 6286.36220740920},
2490 { 0.00000000029, 2.09564449439, 15265.88651930040},
2491 { 0.00000000022, 4.74660932338, 28230.18722269139},
2492 { 0.00000000021, 2.30688751432, 5999.21653112620},
2493 { 0.00000000028, 3.92087592807, 18208.34994259200},
2494 { 0.00000000021, 3.22643339385, 25934.12433108940},
2495 { 0.00000000021, 3.04956726238, 6566.93516885660},
2496 { 0.00000000027, 5.35645770522, 33794.54372352860},
2497 { 0.00000000025, 5.91542362188, 6489.26139842860},
2498 { 0.00000000020, 1.52296293311, 135.06508003540},
2499 { 0.00000000019, 1.78134428631, 156137.47598479928},
2500 { 0.00000000019, 0.34388684087, 5327.47610838280},
2501 { 0.00000000026, 3.41701003233, 25287.72379939980},
2502 { 0.00000000019, 2.86664271911, 18422.62935909819},
2503 { 0.00000000019, 4.71432851499, 77690.75950573849},
2504 { 0.00000000019, 2.54227398241, 77736.78343050249},
2505 { 0.00000000020, 5.91915117116, 48739.85989708300},
2506 };
2507
2508
2509 static const struct ln_vsop earth_radius_r2[RADIUS_R2] = {
2510 { 0.00004359385, 5.78455133808, 6283.07584999140},
2511 { 0.00000123633, 5.57935427994, 12566.15169998280},
2512 { 0.00000012342, 3.14159265359, 0.00000000000},
2513 { 0.00000008792, 3.62777893099, 77713.77146812050},
2514 { 0.00000005689, 1.86958905084, 5573.14280143310},
2515 { 0.00000003302, 5.47034879713, 18849.22754997420},
2516 { 0.00000001471, 4.47964125007, 5507.55323866740},
2517 { 0.00000001013, 2.81323115556, 5223.69391980220},
2518 { 0.00000000854, 3.10776566900, 1577.34354244780},
2519 { 0.00000001102, 2.84173992403, 161000.68573767410},
2520 { 0.00000000648, 5.47348203398, 775.52261132400},
2521 { 0.00000000608, 1.37894173533, 6438.49624942560},
2522 { 0.00000000499, 4.41649242250, 6286.59896834040},
2523 { 0.00000000416, 0.90332697974, 10977.07880469900},
2524 { 0.00000000404, 3.20567269530, 5088.62883976680},
2525 { 0.00000000351, 1.81081728907, 5486.77784317500},
2526 { 0.00000000466, 3.65086758149, 7084.89678111520},
2527 { 0.00000000458, 5.38585314743, 149854.40013480789},
2528 { 0.00000000304, 3.51015066341, 796.29800681640},
2529 { 0.00000000266, 6.17413982699, 6836.64525283380},
2530 { 0.00000000281, 1.83874672540, 4694.00295470760},
2531 { 0.00000000262, 1.41420110644, 2146.16541647520},
2532 { 0.00000000264, 3.14103683911, 71430.69561812909},
2533 { 0.00000000319, 5.35037932146, 3154.68708489560},
2534 { 0.00000000238, 2.17695432424, 155.42039943420},
2535 { 0.00000000229, 4.75969588070, 7234.79425624200},
2536 { 0.00000000291, 4.61776401638, 4690.47983635860},
2537 { 0.00000000211, 0.21864885298, 4705.73230754360},
2538 { 0.00000000204, 4.22895113488, 1349.86740965880},
2539 { 0.00000000195, 4.58550676556, 529.69096509460},
2540 { 0.00000000255, 2.81442711144, 1748.01641306700},
2541 { 0.00000000182, 5.70454011389, 6040.34724601740},
2542 { 0.00000000180, 6.02147727878, 4292.33083295040},
2543 { 0.00000000186, 1.58690991244, 6309.37416979120},
2544 { 0.00000000167, 2.88802733052, 9437.76293488700},
2545 { 0.00000000166, 1.99990574734, 8031.09226305840},
2546 { 0.00000000160, 0.04412738495, 2544.31441988340},
2547 { 0.00000000197, 2.01089431842, 1194.44701022460},
2548 { 0.00000000165, 5.78372596774, 83996.84731811189},
2549 { 0.00000000214, 3.38300910371, 7632.94325965020},
2550 { 0.00000000140, 0.36669664351, 10447.38783960440},
2551 { 0.00000000151, 0.95519595275, 6127.65545055720},
2552 { 0.00000000136, 1.48417295645, 2352.86615377180},
2553 { 0.00000000128, 5.48057748834, 951.71840625060},
2554 { 0.00000000126, 5.26866506592, 6279.55273164240},
2555 { 0.00000000127, 3.77552907014, 6812.76681508600},
2556 { 0.00000000103, 4.95897533789, 398.14900340820},
2557 { 0.00000000104, 0.70183576826, 1592.59601363280},
2558 { 0.00000000101, 1.14481598642, 3894.18182954220},
2559 { 0.00000000131, 0.76624310306, 553.56940284240},
2560 { 0.00000000109, 5.41063597567, 6256.77753019160},
2561 { 0.00000000078, 5.84775340741, 242.72860397400},
2562 { 0.00000000097, 1.94685257714, 11856.21865142450},
2563 { 0.00000000100, 5.19725292131, 244287.60000722769},
2564 { 0.00000000076, 0.70480774041, 8429.24126646660},
2565 { 0.00000000080, 6.18430772683, 1059.38193018920},
2566 { 0.00000000068, 5.29561709093, 14143.49524243060},
2567 { 0.00000000085, 5.39487308005, 25132.30339996560},
2568 { 0.00000000055, 5.16874637579, 7058.59846131540},
2569 { 0.00000000063, 0.48494730699, 801.82093112380},
2570 { 0.00000000058, 4.07254840265, 13367.97263110660},
2571 { 0.00000000051, 3.89696552232, 12036.46073488820},
2572 { 0.00000000051, 5.56335232286, 1990.74501704100},
2573 { 0.00000000060, 2.25046596710, 8635.94200376320},
2574 { 0.00000000049, 5.58163417371, 6290.18939699220},
2575 { 0.00000000051, 3.87240194908, 26.29831979980},
2576 { 0.00000000051, 4.19300909995, 7860.41939243920},
2577 { 0.00000000041, 3.97169191582, 10973.55568635000},
2578 { 0.00000000041, 3.57080919230, 7079.37385680780},
2579 { 0.00000000056, 2.76959005761, 90955.55169449610},
2580 { 0.00000000042, 1.91461189163, 7477.52286021600},
2581 { 0.00000000042, 0.42775891995, 10213.28554621100},
2582 { 0.00000000042, 1.06925480488, 709.93304855830},
2583 { 0.00000000038, 6.17935925345, 9917.69687450980},
2584 { 0.00000000050, 0.81691517401, 11506.76976979360},
2585 { 0.00000000053, 1.45828359397, 233141.31440436149},
2586 { 0.00000000038, 3.32444534628, 5643.17856367740},
2587 { 0.00000000047, 6.21543665927, 6681.22485339960},
2588 { 0.00000000037, 0.36359309980, 10177.25767953360},
2589 { 0.00000000045, 5.29587706357, 10575.40668294180},
2590 { 0.00000000034, 5.63446915337, 6525.80445396540},
2591 { 0.00000000034, 5.36385158519, 4933.20844033260},
2592 { 0.00000000035, 5.36152295839, 25158.60171976540},
2593 { 0.00000000042, 5.08837645072, 11015.10647733480},
2594 { 0.00000000042, 4.22496037505, 88860.05707098669},
2595 { 0.00000000039, 1.99171699618, 6284.05617105960},
2596 { 0.00000000029, 3.19088628170, 11926.25441366880},
2597 { 0.00000000029, 0.14996158324, 12168.00269657460},
2598 { 0.00000000030, 1.58346276808, 9779.10867612540},
2599 { 0.00000000026, 4.16210340581, 12569.67481833180},
2600 { 0.00000000036, 2.74684637873, 3738.76143010800},
2601 { 0.00000000026, 0.72824915320, 1589.07289528380},
2602 { 0.00000000031, 5.34906371821, 143571.32428481648},
2603 { 0.00000000025, 0.10240267494, 22483.84857449259},
2604 { 0.00000000030, 3.47110495524, 14945.31617355440},
2605 { 0.00000000026, 3.89359701125, 5753.38488489680},
2606 { 0.00000000024, 1.18744224678, 4535.05943692440},
2607 { 0.00000000033, 2.99317143244, 3930.20969621960},
2608 { 0.00000000024, 1.57253767584, 6496.37494542940},
2609 { 0.00000000024, 3.47434797542, 4136.91043351620},
2610 { 0.00000000022, 3.91230073719, 6275.96230299060},
2611 { 0.00000000025, 4.02978941287, 3128.38876509580},
2612 { 0.00000000023, 1.07724492065, 12721.57209941700},
2613 { 0.00000000021, 1.89591807148, 16730.46368959580},
2614 { 0.00000000025, 2.42198937013, 5729.50644714900},
2615 { 0.00000000020, 1.78163489101, 17789.84561978500},
2616 { 0.00000000021, 0.49258939822, 29088.81141598500},
2617 { 0.00000000026, 4.14947806747, 2388.89402044920},
2618 { 0.00000000027, 2.54785812264, 3496.03282613400},
2619 { 0.00000000020, 4.29944129273, 16858.48253293320},
2620 { 0.00000000021, 5.97796936723, 7.11354700080},
2621 { 0.00000000019, 0.80292033311, 16062.18452611680},
2622 { 0.00000000024, 4.89894141052, 17260.15465469040},
2623 { 0.00000000025, 1.37003752175, 6282.09552892320},
2624 { 0.00000000022, 4.92663152168, 18875.52586977400},
2625 { 0.00000000023, 5.68902059771, 16460.33352952499},
2626 { 0.00000000023, 3.03021283729, 66567.48586525429},
2627 { 0.00000000016, 3.89713736666, 5331.35744374080},
2628 { 0.00000000016, 5.68562539832, 12559.03815298200},
2629 { 0.00000000016, 3.95085099736, 3097.88382272579},
2630 { 0.00000000016, 3.99041783945, 6283.14316029419},
2631 { 0.00000000020, 6.10643919100, 167283.76158766549},
2632 { 0.00000000015, 4.09775914607, 11712.95531823080},
2633 { 0.00000000016, 5.71769940700, 17298.18232732620},
2634 { 0.00000000016, 3.28894009404, 5884.92684658320},
2635 { 0.00000000015, 4.42564243680, 13517.87010623340},
2636 { 0.00000000016, 4.43452080930, 6283.00853968860},
2637 { 0.00000000014, 1.44384279999, 4164.31198961300},
2638 { 0.00000000014, 4.47380919159, 11790.62908865880},
2639 { 0.00000000014, 4.77646531825, 7342.45778018060},
2640 { 0.00000000011, 2.56768522896, 5481.25491886760},
2641 { 0.00000000011, 1.51443332200, 16200.77272450120},
2642 { 0.00000000011, 0.88708889185, 21228.39202354580},
2643 { 0.00000000014, 4.50116508534, 640.87760738220},
2644 };
2645
2646
2647 static const struct ln_vsop earth_radius_r3[RADIUS_R3] = {
2648 { 0.00000144595, 4.27319433901, 6283.07584999140},
2649 { 0.00000006729, 3.91706261708, 12566.15169998280},
2650 { 0.00000000774, 0.00000000000, 0.00000000000},
2651 { 0.00000000247, 3.73021571217, 18849.22754997420},
2652 { 0.00000000036, 2.80081409050, 6286.59896834040},
2653 { 0.00000000033, 5.62990083112, 6127.65545055720},
2654 { 0.00000000018, 3.72826142555, 6438.49624942560},
2655 { 0.00000000016, 4.26011484232, 6525.80445396540},
2656 { 0.00000000014, 3.47817116396, 6256.77753019160},
2657 { 0.00000000012, 3.55747379482, 25132.30339996560},
2658 { 0.00000000010, 4.43995693209, 4705.73230754360},
2659 { 0.00000000010, 4.28045255470, 83996.84731811189},
2660 { 0.00000000009, 5.36457057335, 6040.34724601740},
2661 { 0.00000000008, 1.78458957263, 5507.55323866740},
2662 { 0.00000000009, 0.47275199930, 6279.55273164240},
2663 { 0.00000000009, 1.34741231639, 6309.37416979120},
2664 { 0.00000000009, 0.77092900708, 5729.50644714900},
2665 { 0.00000000007, 3.50146897332, 7058.59846131540},
2666 { 0.00000000005, 2.89071061700, 775.52261132400},
2667 { 0.00000000006, 2.36514111314, 6836.64525283380},
2668 };
2669
2670
2671 static const struct ln_vsop earth_radius_r4[RADIUS_R4] = {
2672 { 0.00000003858, 2.56389016346, 6283.07584999140},
2673 { 0.00000000306, 2.26911740541, 12566.15169998280},
2674 { 0.00000000053, 3.44031471924, 5573.14280143310},
2675 { 0.00000000015, 2.03136359366, 18849.22754997420},
2676 { 0.00000000013, 2.05688873673, 77713.77146812050},
2677 { 0.00000000007, 4.41218854480, 161000.68573767410},
2678 { 0.00000000004, 5.33854414781, 6438.49624942560},
2679 { 0.00000000006, 3.81514213664, 149854.40013480789},
2680 { 0.00000000004, 4.26602478239, 6127.65545055720},
2681 };
2682
2683
2684 static const struct ln_vsop earth_radius_r5[RADIUS_R5] = {
2685 { 0.00000000086, 1.21805304895, 6283.07584999140},
2686 { 0.00000000012, 0.65572878044, 12566.15169998280},
2687 };
2688
2689 /*! \fn void ln_get_earth_helio_coords (double JD, struct ln_helio_posn * position)
2690 * \param JD Julian day
2691 * \param position Pointer to store heliocentric position
2692 *
2693 * Calculate Earths heliocentric (referred to the centre of the Sun) coordinates
2694 * for given julian day.
2695 * Longitude and Latitude are in degrees, whilst radius vector is in AU.
2696 */
2697 /* Chapter 31 Pg 206-207 Equ 31.1 31.2 , 31.3 using VSOP 87
2698 */
ln_get_earth_helio_coords(double JD,struct ln_helio_posn * position)2699 void ln_get_earth_helio_coords (double JD, struct ln_helio_posn * position)
2700 {
2701 double t, t2, t3, t4, t5;
2702 double L0, L1, L2, L3, L4, L5;
2703 double B0, B1, B2, B3, B4, B5;
2704 double R0, R1, R2, R3, R4, R5;
2705
2706 /* check cache first */
2707 if (JD == cJD) {
2708 /* cache hit */
2709 position->L = cL;
2710 position->B = cB;
2711 position->R = cR;
2712 return;
2713 }
2714
2715 /* get julian ephemeris day */
2716 t = (JD - 2451545.0) / 365250.0;
2717 t2 = t * t;
2718 t3 = t2 * t;
2719 t4 = t3 * t;
2720 t5 = t4 * t;
2721
2722 /* calc L series */
2723 L0 = ln_calc_series (earth_longitude_l0, LONG_L0, t);
2724 L1 = ln_calc_series (earth_longitude_l1, LONG_L1, t);
2725 L2 = ln_calc_series (earth_longitude_l2, LONG_L2, t);
2726 L3 = ln_calc_series (earth_longitude_l3, LONG_L3, t);
2727 L4 = ln_calc_series (earth_longitude_l4, LONG_L4, t);
2728 L5 = ln_calc_series (earth_longitude_l5, LONG_L5, t);
2729 position->L = (L0 + L1 * t + L2 * t2 + L3 * t3 + L4 * t4 + L5 * t5);
2730
2731 /* calc B series */
2732 B0 = ln_calc_series (earth_latitude_b0, LAT_B0, t);
2733 B1 = ln_calc_series (earth_latitude_b1, LAT_B1, t);
2734 B2 = ln_calc_series (earth_latitude_b2, LAT_B2, t);
2735 B3 = ln_calc_series (earth_latitude_b3, LAT_B3, t);
2736 B4 = ln_calc_series (earth_latitude_b4, LAT_B4, t);
2737 B5 = ln_calc_series (earth_latitude_b5, LAT_B5, t);
2738 position->B = (B0 + B1 * t + B2 * t2 + B3 * t3 + B4 * t4 + B5 * t5);
2739
2740
2741 /* calc R series */
2742 R0 = ln_calc_series (earth_radius_r0, RADIUS_R0, t);
2743 R1 = ln_calc_series (earth_radius_r1, RADIUS_R1, t);
2744 R2 = ln_calc_series (earth_radius_r2, RADIUS_R2, t);
2745 R3 = ln_calc_series (earth_radius_r3, RADIUS_R3, t);
2746 R4 = ln_calc_series (earth_radius_r4, RADIUS_R4, t);
2747 R5 = ln_calc_series (earth_radius_r5, RADIUS_R5, t);
2748 position->R = (R0 + R1 * t + R2 * t2 + R3 * t3 + R4 * t4 + R5 * t5);
2749
2750 /* change to degrees in correct quadrant */
2751 position->L = ln_rad_to_deg(position->L);
2752 position->B = ln_rad_to_deg(position->B) * -1.0;
2753 position->L = ln_range_degrees(position->L);
2754
2755 /* change to fk5 reference frame */
2756 ln_vsop87_to_fk5 (position, JD);
2757
2758 /* save cache */
2759 cJD = JD;
2760 cL = position->L;
2761 cB = position->B;
2762 cR = position->R;
2763 }
2764
2765 /*! \fn double ln_get_earth_solar_dist (double JD);
2766 * \param JD Julian day.
2767 * \return Distance in AU
2768 *
2769 * Calculates the distance in AU between the Sun and Earth for
2770 * the given julian day.
2771 */
ln_get_earth_solar_dist(double JD)2772 double ln_get_earth_solar_dist (double JD)
2773 {
2774 struct ln_helio_posn h_earth;
2775
2776 /* get heliocentric position */
2777 ln_get_earth_helio_coords (JD, &h_earth);
2778
2779 return h_earth.R;
2780 }
2781
2782 /*! \fn void ln_get_earth_centre_dist (float height, double latitude, double *p_sin_o, double *p_cos_o);
2783 * \param height Height above sea level in metres.
2784 * \param latitude latitude in degrees.
2785 * \param p_sin_o Pointer to hold p_sin_o
2786 * \param p_cos_o Pointer to hold p_cos_o
2787 *
2788 * Calculate the quantities "p sin o" and "p cos o" needed in calculations for
2789 * diurnal parallaxes, eclipses and occultations given the observers height
2790 * in metres above sea level and there latitude in degrees.
2791 */
2792
ln_get_earth_centre_dist(float height,double latitude,double * p_sin_o,double * p_cos_o)2793 void ln_get_earth_centre_dist (float height, double latitude, double *p_sin_o, double *p_cos_o)
2794 {
2795 double a,b,f,u;
2796
2797 a = 6378.14;
2798 f = 1 / 298.257;
2799 b = a * (1 - f);
2800
2801 u = atan2(b, a * tan(ln_deg_to_rad(latitude)));
2802 *p_sin_o = b / a * sin (u) + (height / 6378140 ) * sin (latitude);
2803 *p_cos_o = cos (u) + (height / 6378140) * cos (latitude);
2804 }
2805
2806 /*! \fn void ln_get_earth_rect_helio (double JD, struct ln_rect_posn * position)
2807 * \param JD Julian day.
2808 * \param position pointer to return position
2809 *
2810 * Calculate the Earths rectangular heliocentric coordinates for the
2811 * given Julian day. Coordinates are in AU.
2812 */
ln_get_earth_rect_helio(double JD,struct ln_rect_posn * position)2813 void ln_get_earth_rect_helio (double JD, struct ln_rect_posn * position)
2814 {
2815 struct ln_helio_posn earth;
2816
2817 ln_get_earth_helio_coords (JD, &earth);
2818 ln_get_rect_from_helio (&earth, position);
2819 }
2820