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/saturn.h>
24 #include <libnova/vsop87.h>
25 #include <libnova/solar.h>
26 #include <libnova/earth.h>
27 #include <libnova/transform.h>
28 #include <libnova/rise_set.h>
29 #include <libnova/utility.h>
30
31 #define LONG_L0 1437
32 #define LONG_L1 817
33 #define LONG_L2 438
34 #define LONG_L3 192
35 #define LONG_L4 85
36 #define LONG_L5 30
37 #define LAT_B0 500
38 #define LAT_B1 247
39 #define LAT_B2 111
40 #define LAT_B3 54
41 #define LAT_B4 24
42 #define LAT_B5 11
43 #define RADIUS_R0 1208
44 #define RADIUS_R1 627
45 #define RADIUS_R2 338
46 #define RADIUS_R3 154
47 #define RADIUS_R4 65
48 #define RADIUS_R5 27
49
50 /* cache variables */
51 static double cJD = 0, cL = 0, cB = 0, cR = 0;
52
53 static const struct ln_vsop saturn_longitude_l0[LONG_L0] = {
54 { 0.87401354025, 0.00000000000, 0.00000000000},
55 { 0.11107659762, 3.96205090159, 213.29909543800},
56 { 0.01414150957, 4.58581516874, 7.11354700080},
57 { 0.00398379389, 0.52112032699, 206.18554843720},
58 { 0.00350769243, 3.30329907896, 426.59819087600},
59 { 0.00206816305, 0.24658372002, 103.09277421860},
60 { 0.00079271300, 3.84007056878, 220.41264243880},
61 { 0.00023990355, 4.66976924553, 110.20632121940},
62 { 0.00016573588, 0.43719228296, 419.48464387520},
63 { 0.00014906995, 5.76903183869, 316.39186965660},
64 { 0.00015820290, 0.93809155235, 632.78373931320},
65 { 0.00014609559, 1.56518472000, 3.93215326310},
66 { 0.00013160301, 4.44891291899, 14.22709400160},
67 { 0.00015053543, 2.71669915667, 639.89728631400},
68 { 0.00013005299, 5.98119023644, 11.04570026390},
69 { 0.00010725067, 3.12939523827, 202.25339517410},
70 { 0.00005863206, 0.23656938524, 529.69096509460},
71 { 0.00005227757, 4.20783365759, 3.18139373770},
72 { 0.00006126317, 1.76328667907, 277.03499374140},
73 { 0.00005019687, 3.17787728405, 433.71173787680},
74 { 0.00004592550, 0.61977744975, 199.07200143640},
75 { 0.00004005867, 2.24479718502, 63.73589830340},
76 { 0.00002953796, 0.98280366998, 95.97922721780},
77 { 0.00003873670, 3.22283226966, 138.51749687070},
78 { 0.00002461186, 2.03163875071, 735.87651353180},
79 { 0.00003269484, 0.77492638211, 949.17560896980},
80 { 0.00001758145, 3.26580109940, 522.57741809380},
81 { 0.00001640172, 5.50504453050, 846.08283475120},
82 { 0.00001391327, 4.02333150505, 323.50541665740},
83 { 0.00001580648, 4.37265307169, 309.27832265580},
84 { 0.00001123498, 2.83726798446, 415.55249061210},
85 { 0.00001017275, 3.71700135395, 227.52618943960},
86 { 0.00000848642, 3.19150170830, 209.36694217490},
87 { 0.00001087229, 4.18343257560, 2.44768055480},
88 { 0.00000956757, 0.50744342622, 1265.56747862640},
89 { 0.00000789205, 5.00745127508, 0.96320784650},
90 { 0.00000686999, 1.74714152638, 1052.26838318840},
91 { 0.00000654484, 1.59889329033, 0.04818410980},
92 { 0.00000748819, 2.14396789786, 853.19638175200},
93 { 0.00000633982, 2.29887419204, 412.37109687440},
94 { 0.00000743599, 5.25277685028, 224.34479570190},
95 { 0.00000852677, 3.42141279787, 175.16605980020},
96 { 0.00000579844, 3.09254750266, 74.78159856730},
97 { 0.00000624883, 0.97048087510, 210.11770170030},
98 { 0.00000529874, 4.44938991187, 117.31986822020},
99 { 0.00000542648, 1.51824981131, 9.56122755560},
100 { 0.00000474277, 5.47526482059, 742.99006053260},
101 { 0.00000448547, 1.28991363969, 127.47179660680},
102 { 0.00000546365, 2.12677911914, 350.33211960040},
103 { 0.00000478044, 2.96486700885, 137.03302416240},
104 { 0.00000354988, 3.01280169452, 838.96928775040},
105 { 0.00000451857, 1.04437293342, 490.33408917940},
106 { 0.00000347422, 1.53923267387, 340.77089204480},
107 { 0.00000343481, 0.24603836481, 0.52126486180},
108 { 0.00000309029, 3.49491017725, 216.48048917570},
109 { 0.00000322189, 0.96136528867, 203.73786788240},
110 { 0.00000372318, 2.27822895353, 217.23124870110},
111 { 0.00000321562, 2.57185176731, 647.01083331480},
112 { 0.00000330197, 0.24721738903, 1581.95934828300},
113 { 0.00000249142, 1.47004230445, 1368.66025284500},
114 { 0.00000286703, 2.37046001635, 351.81659230870},
115 { 0.00000220225, 4.20421716654, 200.76892246580},
116 { 0.00000277774, 0.40024010033, 211.81462272970},
117 { 0.00000204520, 6.01073368945, 265.98929347750},
118 { 0.00000207645, 0.48344140678, 1162.47470440780},
119 { 0.00000208650, 1.34533476508, 625.67019231240},
120 { 0.00000182459, 5.49122412646, 2.92076130680},
121 { 0.00000226601, 4.90997278296, 12.53017297220},
122 { 0.00000207666, 1.28298038875, 39.35687591520},
123 { 0.00000173914, 1.86305647242, 0.75075952540},
124 { 0.00000184698, 3.50349102817, 149.56319713460},
125 { 0.00000183509, 0.97260974474, 4.19278569400},
126 { 0.00000146074, 6.23107926975, 195.13984817330},
127 { 0.00000164541, 0.44004693949, 5.41662597140},
128 { 0.00000147544, 1.53530368067, 5.62907429250},
129 { 0.00000139690, 4.29463428594, 21.34064100240},
130 { 0.00000131292, 4.06829024226, 10.29494073850},
131 { 0.00000117326, 2.67913173095, 1155.36115740700},
132 { 0.00000149302, 5.73592320434, 52.69019803950},
133 { 0.00000122371, 1.97585460706, 4.66586644600},
134 { 0.00000113737, 5.59421876022, 1059.38193018920},
135 { 0.00000102689, 1.19754453191, 1685.05212250160},
136 { 0.00000118169, 5.34072820318, 554.06998748280},
137 { 0.00000109287, 3.43808188855, 536.80451209540},
138 { 0.00000110400, 0.16605133194, 1.48447270830},
139 { 0.00000124980, 6.27738701225, 1898.35121793960},
140 { 0.00000089916, 5.80394843417, 114.13847448250},
141 { 0.00000103968, 2.19185625957, 88.86568021700},
142 { 0.00000112430, 1.10510750315, 191.20769491020},
143 { 0.00000106578, 4.01153470635, 956.28915597060},
144 { 0.00000091425, 1.87523841598, 38.13303563780},
145 { 0.00000083763, 5.48810655641, 0.11187458460},
146 { 0.00000083489, 2.28927138986, 628.85158605010},
147 { 0.00000096973, 4.53662541679, 302.16477565500},
148 { 0.00000100634, 4.96513420321, 269.92144674060},
149 { 0.00000075496, 2.18005762811, 728.76296653100},
150 { 0.00000096330, 2.83319249226, 275.55052103310},
151 { 0.00000082386, 3.05482650543, 440.82528487760},
152 { 0.00000073896, 5.08917637074, 1375.77379984580},
153 { 0.00000071625, 5.10946423579, 65.22037101170},
154 { 0.00000070386, 4.86846451411, 0.21244832110},
155 { 0.00000069760, 3.71027033119, 14.97785352700},
156 { 0.00000088771, 3.86334160349, 278.51946644970},
157 { 0.00000068092, 0.73430499450, 1478.86657406440},
158 { 0.00000066481, 0.02658132849, 70.84944530420},
159 { 0.00000065694, 2.02147100289, 142.44965013380},
160 { 0.00000075752, 1.61413426010, 284.14854074220},
161 { 0.00000063138, 3.49495099319, 479.28838891550},
162 { 0.00000062557, 2.58733971413, 422.66603761290},
163 { 0.00000069300, 3.44002100885, 515.46387109300},
164 { 0.00000079010, 4.45159676932, 35.42472265210},
165 { 0.00000063664, 3.31747980190, 62.25142559510},
166 { 0.00000052994, 5.51392725227, 0.26063243090},
167 { 0.00000053017, 3.18475265559, 8.07675484730},
168 { 0.00000054492, 2.45664158976, 22.09140052780},
169 { 0.00000050507, 4.26791628421, 99.16062095550},
170 { 0.00000055159, 0.96792241728, 942.06206196900},
171 { 0.00000049320, 2.38666475800, 1471.75302706360},
172 { 0.00000047203, 2.02525393154, 312.19908396260},
173 { 0.00000061090, 1.50302054623, 210.85141488320},
174 { 0.00000060676, 2.68689407241, 388.46515523820},
175 { 0.00000045138, 0.93106348303, 2001.44399215820},
176 { 0.00000043450, 2.52603236088, 288.08069400530},
177 { 0.00000042562, 3.81786681717, 330.61896365820},
178 { 0.00000039933, 5.71382574413, 408.43894361130},
179 { 0.00000050125, 6.03152570850, 2214.74308759620},
180 { 0.00000046031, 0.54227917765, 212.33588759150},
181 { 0.00000054160, 0.78128719345, 191.95845443560},
182 { 0.00000047042, 4.59902370789, 437.64389113990},
183 { 0.00000042367, 1.90069581380, 430.53034413910},
184 { 0.00000039759, 1.63243208156, 1066.49547719000},
185 { 0.00000036469, 0.84688120284, 213.34727954780},
186 { 0.00000035468, 4.18601929802, 215.74677599280},
187 { 0.00000036469, 3.93224996469, 213.25091132820},
188 { 0.00000038003, 0.31314052371, 423.41679713830},
189 { 0.00000044824, 1.12406079738, 6.15033915430},
190 { 0.00000037902, 1.19795851065, 2.70831298570},
191 { 0.00000043405, 1.37360455570, 563.63121503840},
192 { 0.00000043913, 3.93075296633, 525.49817940060},
193 { 0.00000034837, 1.01543342379, 203.00415469950},
194 { 0.00000031755, 1.69273634405, 0.16005869440},
195 { 0.00000030892, 6.13529793424, 417.03696332040},
196 { 0.00000036407, 6.00604303567, 18.15924726470},
197 { 0.00000029157, 1.19375828579, 404.50679034820},
198 { 0.00000032811, 0.53654765923, 107.02492748170},
199 { 0.00000030461, 0.72314414241, 222.86032299360},
200 { 0.00000032668, 0.81193242653, 1795.25844372100},
201 { 0.00000037741, 3.69667138462, 1272.68102562720},
202 { 0.00000027679, 1.45663968120, 7.16173111060},
203 { 0.00000027165, 1.89600219634, 1045.15483618760},
204 { 0.00000037836, 4.51945172068, 24.37902238820},
205 { 0.00000035003, 4.46092370686, 214.26230328450},
206 { 0.00000032661, 0.66347743190, 692.58748435350},
207 { 0.00000030436, 5.30241022019, 33.94024994380},
208 { 0.00000027579, 6.22702209204, 1.27202438720},
209 { 0.00000026658, 4.56713174166, 7.06536289100},
210 { 0.00000031745, 5.49844823318, 56.62235130260},
211 { 0.00000028153, 5.64388600762, 128.95626931510},
212 { 0.00000024275, 3.93953220869, 414.06801790380},
213 { 0.00000032024, 5.22237631301, 92.04707395470},
214 { 0.00000023059, 3.66034194445, 207.67002114550},
215 { 0.00000026975, 0.06644184255, 205.22234059070},
216 { 0.00000031825, 5.59208218558, 6069.77675455340},
217 { 0.00000023153, 2.10053945000, 1788.14489672020},
218 { 0.00000031040, 0.37144696566, 703.63318461740},
219 { 0.00000029384, 0.14749408878, 131.40394986990},
220 { 0.00000022551, 5.23994780210, 212.77783057620},
221 { 0.00000026183, 5.41312719168, 140.00196957900},
222 { 0.00000025779, 4.36084632109, 32.24332891440},
223 { 0.00000020659, 0.67095777002, 2317.83586181480},
224 { 0.00000020362, 2.82404200673, 429.77958461370},
225 { 0.00000024404, 3.08826377429, 145.63104387150},
226 { 0.00000023748, 2.54374565817, 76.26607127560},
227 { 0.00000020112, 5.05984887501, 617.80588578620},
228 { 0.00000023302, 3.97332549746, 483.22054217860},
229 { 0.00000022878, 6.10447953656, 177.87437278590},
230 { 0.00000022984, 3.20182261633, 208.63322899200},
231 { 0.00000020638, 5.22127912054, 6.59228213900},
232 { 0.00000021419, 0.71923264007, 1258.45393162560},
233 { 0.00000018151, 6.11584874018, 210.37833413120},
234 { 0.00000022385, 5.92318160986, 173.94221952280},
235 { 0.00000019120, 5.77736469009, 213.82036029980},
236 { 0.00000020870, 5.79129638608, 2531.13495725280},
237 { 0.00000016904, 3.27550525617, 98.89998852460},
238 { 0.00000019330, 1.64166493503, 565.11568774670},
239 { 0.00000020839, 2.01683749266, 860.30992875280},
240 { 0.00000015638, 3.10062358099, 106.27416795630},
241 { 0.00000017802, 3.14497635160, 831.85574074960},
242 { 0.00000018235, 5.22594210687, 73.29712585900},
243 { 0.00000019304, 5.93982202636, 425.11371816770},
244 { 0.00000014514, 2.75049388379, 1.22384027740},
245 { 0.00000014577, 5.18679424151, 305.34616939270},
246 { 0.00000014254, 3.88076623214, 54.17467074780},
247 { 0.00000014586, 3.24988127841, 78.71375183040},
248 { 0.00000013670, 2.55602680997, 405.25754987360},
249 { 0.00000013912, 1.72287975369, 69.15252427480},
250 { 0.00000013689, 2.37432937754, 125.98732389850},
251 { 0.00000013434, 0.83488320765, 99.91138048090},
252 { 0.00000013835, 6.18875441195, 245.54242435240},
253 { 0.00000018486, 0.73172908046, 9999.98645077300},
254 { 0.00000013544, 3.58586392379, 234.63973644040},
255 { 0.00000017441, 0.23802704474, 134.58534360760},
256 { 0.00000016882, 0.72758125023, 2111.65031337760},
257 { 0.00000014180, 4.51956561605, 59.80374504030},
258 { 0.00000013598, 2.53775710444, 1.69692102940},
259 { 0.00000012237, 2.11959388836, 28.31117565130},
260 { 0.00000011990, 1.62127312922, 1361.54670584420},
261 { 0.00000011982, 4.07445076924, 280.96714700450},
262 { 0.00000012757, 5.31153889246, 344.70304530790},
263 { 0.00000016075, 3.97061471646, 355.74874557180},
264 { 0.00000011427, 5.51112367921, 192.69216761850},
265 { 0.00000013107, 4.69154717483, 767.36908292080},
266 { 0.00000014712, 3.29079681274, 1589.07289528380},
267 { 0.00000011417, 1.81615806473, 2104.53676637680},
268 { 0.00000011631, 2.79398246172, 362.86229257260},
269 { 0.00000013238, 4.16610173164, 225.82926841020},
270 { 0.00000010596, 5.50455161216, 199.28444975750},
271 { 0.00000010558, 3.57501718639, 1.43628859850},
272 { 0.00000010487, 2.84545452542, 85.82729883120},
273 { 0.00000010296, 0.22213213548, 198.32124191100},
274 { 0.00000010552, 0.18714408691, 217.49188113200},
275 { 0.00000011853, 0.11583647552, 7.63481186260},
276 { 0.00000010248, 0.21860767654, 144.14657116320},
277 { 0.00000010388, 1.68706377306, 31.01948863700},
278 { 0.00000010298, 4.72105283737, 216.21985674480},
279 { 0.00000010718, 2.60866218060, 339.28641933650},
280 { 0.00000009680, 3.66617781358, 212.54833591260},
281 { 0.00000009686, 0.41563892555, 2634.22773147140},
282 { 0.00000009606, 3.34180429839, 223.59403617650},
283 { 0.00000009880, 4.01876851049, 207.14875628370},
284 { 0.00000013227, 6.00697508523, 214.78356814630},
285 { 0.00000011346, 2.61894580651, 7.86430652620},
286 { 0.00000009158, 5.39847150076, 342.25536475310},
287 { 0.00000011882, 4.00177866802, 267.47376618580},
288 { 0.00000012076, 3.59957096236, 124.43341522100},
289 { 0.00000008905, 4.22810786842, 6.36278747540},
290 { 0.00000010136, 3.60824178626, 14.01464568050},
291 { 0.00000009194, 0.71906399877, 347.88443904560},
292 { 0.00000010529, 2.36775276401, 831.10498122420},
293 { 0.00000008574, 4.48725894302, 1692.16566950240},
294 { 0.00000010251, 3.93334219207, 207.88246946660},
295 { 0.00000009179, 4.28183918668, 312.45971639350},
296 { 0.00000008088, 0.81220128390, 264.50482076920},
297 { 0.00000009228, 4.26415997810, 20.60692781950},
298 { 0.00000009607, 0.64286774221, 218.92816973050},
299 { 0.00000008675, 0.48616033737, 1574.84580128220},
300 { 0.00000007927, 4.71998972854, 333.65734504400},
301 { 0.00000008927, 0.90701584499, 497.44763618020},
302 { 0.00000007934, 2.73280543540, 4.14460158420},
303 { 0.00000009133, 5.08251865324, 241.61027108930},
304 { 0.00000008885, 5.55498151216, 2847.52682690940},
305 { 0.00000009639, 1.60623316904, 0.89377187730},
306 { 0.00000008926, 5.80855143690, 329.72519178090},
307 { 0.00000007233, 0.60129637991, 206.23373254700},
308 { 0.00000007655, 5.53681474398, 116.42609634290},
309 { 0.00000007537, 5.43686778771, 621.73803904930},
310 { 0.00000007118, 0.18742612368, 209.10630974400},
311 { 0.00000008834, 5.36090734150, 343.21857259960},
312 { 0.00000007056, 0.41899430952, 756.32338265690},
313 { 0.00000008128, 4.05572601077, 237.67811782620},
314 { 0.00000008949, 1.65024350785, 210.33015002140},
315 { 0.00000006962, 3.17856271724, 543.02428721890},
316 { 0.00000008917, 0.56506143275, 2428.04218303420},
317 { 0.00000006918, 3.66850644263, 247.23934538180},
318 { 0.00000008989, 4.25044698859, 46.47042291600},
319 { 0.00000007094, 5.14244381046, 231.45834270270},
320 { 0.00000007372, 1.25037224558, 217.96496188400},
321 { 0.00000006355, 0.82409971051, 31.49256938900},
322 { 0.00000007562, 5.62661243268, 518.64526483070},
323 { 0.00000006911, 3.70119674288, 206.13736432740},
324 { 0.00000007015, 2.84101112991, 1148.24761040620},
325 { 0.00000006748, 4.56542342874, 120.35824960600},
326 { 0.00000006281, 5.79091493667, 179.35884549420},
327 { 0.00000006275, 3.53628080965, 244.31858407500},
328 { 0.00000005815, 1.40677827798, 214.04985496340},
329 { 0.00000005870, 4.86690383052, 320.32402291970},
330 { 0.00000006217, 1.07999162981, 251.43213107580},
331 { 0.00000007735, 3.82203922745, 380.12776796000},
332 { 0.00000005718, 1.34924759084, 1677.93857550080},
333 { 0.00000006455, 1.34715012955, 188.92007304980},
334 { 0.00000006105, 3.62445388144, 1169.58825140860},
335 { 0.00000005646, 2.28659477016, 20.44686912510},
336 { 0.00000005804, 1.54857952361, 2420.92863603340},
337 { 0.00000005940, 1.65973782972, 842.15068148810},
338 { 0.00000005593, 0.50496981495, 148.07872442630},
339 { 0.00000005703, 5.05997067230, 2.96894541660},
340 { 0.00000006496, 1.93848779933, 357.44566660120},
341 { 0.00000006369, 2.44534144405, 654.12438031560},
342 { 0.00000007440, 1.35926163985, 166.82867252200},
343 { 0.00000006407, 0.40682441040, 168.05251279940},
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1298 { 0.00000000109, 1.02847174985, 1062.56332392690},
1299 { 0.00000000105, 1.37783338573, 1987.21689815660},
1300 { 0.00000000110, 2.98897645954, 1042.91960395390},
1301 { 0.00000000099, 2.05195836305, 1034.10913592370},
1302 { 0.00000000104, 3.40324525347, 812.94573395950},
1303 { 0.00000000116, 2.49303741513, 2200.51599359460},
1304 { 0.00000000111, 5.01164686630, 220.20019411770},
1305 { 0.00000000099, 5.80548808441, 42.32582133180},
1306 { 0.00000000139, 5.01901587647, 968.13800538660},
1307 { 0.00000000126, 2.60609533649, 661.23792731640},
1308 { 0.00000000129, 1.74723365040, 263.70167161710},
1309 { 0.00000000109, 5.93625989258, 525.02509864860},
1310 { 0.00000000098, 5.80682614639, 764.40013750420},
1311 { 0.00000000134, 3.20331090065, 521.61421024730},
1312 { 0.00000000118, 1.30968907750, 1222.27844944810},
1313 { 0.00000000106, 3.86968434473, 4105.98075853500},
1314 { 0.00000000111, 5.14023256336, 226.79247625670},
1315 { 0.00000000113, 0.50893852381, 184.84490743480},
1316 { 0.00000000124, 2.63716767830, 1264.29545423920},
1317 { 0.00000000101, 4.88259461441, 425.32616648880},
1318 { 0.00000000114, 1.01995685373, 1340.34907719370},
1319 { 0.00000000127, 4.89025569067, 162.09337010680},
1320 { 0.00000000116, 5.20717925949, 845.33207522580},
1321 { 0.00000000096, 4.61869048279, 316.60431797770},
1322 { 0.00000000096, 1.11796162186, 316.17942133550},
1323 { 0.00000000096, 5.84959086837, 845.56156988940},
1324 { 0.00000000096, 4.59376884505, 6386.16862421000},
1325 { 0.00000000103, 5.68113298509, 1130.23137549340},
1326 { 0.00000000101, 3.86045823511, 198.10879358990},
1327 { 0.00000000101, 3.27916836807, 896.48541093030},
1328 { 0.00000000095, 1.49267497700, 674.42823708880},
1329 { 0.00000000102, 4.03806928315, 665.02706822760},
1330 { 0.00000000111, 4.66594406212, 700.45179087970},
1331 { 0.00000000120, 4.40929322898, 695.55642977010},
1332 { 0.00000000109, 2.68886916566, 1518.22344997960},
1333 { 0.00000000127, 1.35796937995, 1493.09366806600},
1334 { 0.00000000102, 1.49520081692, 327.69820235140},
1335 { 0.00000000132, 5.87656214175, 971.10695080320},
1336 { 0.00000000124, 4.37096631322, 1134.37597707760},
1337 { 0.00000000094, 3.78070391483, 326.68681039510},
1338 { 0.00000000100, 5.11374589444, 644.09007200800},
1339 { 0.00000000094, 4.12103973042, 104351.61256629678},
1340 { 0.00000000119, 2.44464219276, 1773.91780271860},
1341 { 0.00000000120, 5.51190663062, 322.02094394910},
1342 { 0.00000000104, 0.94072801823, 45.24658263860},
1343 { 0.00000000110, 5.83597099432, 633.30500417500},
1344 { 0.00000000092, 3.17165005690, 507.59956456680},
1345 { 0.00000000101, 4.77041953206, 427.87021526320},
1346 { 0.00000000098, 4.20048929060, 78263.70942472259},
1347 { 0.00000000098, 2.90784721259, 199.96577331370},
1348 { 0.00000000119, 2.04004116097, 1154.61039788160},
1349 { 0.00000000091, 1.30724317620, 1286.90811962880},
1350 { 0.00000000104, 1.18434321311, 448.68959140380},
1351 { 0.00000000091, 2.03003386313, 650.19222705250},
1352 { 0.00000000117, 2.22762346918, 740.28174754690},
1353 { 0.00000000097, 0.59571650703, 317.87634236490},
1354 { 0.00000000093, 5.03178505524, 847.04604259770},
1355 { 0.00000000095, 0.56124912733, 236.87496867410},
1356 { 0.00000000091, 5.22516620379, 1031.87390369000},
1357 { 0.00000000099, 1.50209451695, 743.79320968470},
1358 { 0.00000000115, 5.88226858490, 924.04582705620},
1359 { 0.00000000091, 6.22628300162, 211.29335786790},
1360 { 0.00000000112, 0.60952277376, 498.19839570560},
1361 { 0.00000000090, 0.20903253046, 1390.00089384740},
1362 { 0.00000000124, 0.14544703761, 2332.06295581640},
1363 { 0.00000000093, 5.53494077769, 5687.94010681800},
1364 { 0.00000000094, 5.34823546532, 1235.61177157240},
1365 { 0.00000000105, 2.75074759436, 1152.17976366930},
1366 { 0.00000000097, 3.87780918853, 2733.38835242690},
1367 { 0.00000000092, 3.33658628877, 518.90589726160},
1368 { 0.00000000090, 3.20306478995, 1164.92238496260},
1369 { 0.00000000091, 4.84054379431, 215.30483300810},
1370 { 0.00000000091, 1.52963589526, 789.46048344860},
1371 { 0.00000000109, 2.69742747002, 1457.52593306200},
1372 { 0.00000000088, 2.39325619929, 639.14652678860},
1373 { 0.00000000104, 2.55393911799, 799.61241183520},
1374 { 0.00000000087, 0.03653347258, 1389.10712197010},
1375 { 0.00000000093, 0.72961701339, 608.24465823060},
1376 { 0.00000000093, 5.30395179663, 222.70026429920},
1377 { 0.00000000087, 1.64989693105, 338.48327018440},
1378 { 0.00000000097, 4.65063535253, 1784.21274345710},
1379 { 0.00000000089, 4.65304680818, 4326.39340097380},
1380 { 0.00000000086, 2.32612831847, 1176.70179840940},
1381 { 0.00000000095, 0.84654513116, 785.52833018550},
1382 { 0.00000000094, 2.02588413534, 512.42548970720},
1383 { 0.00000000098, 4.72121429417, 232.42155054920},
1384 { 0.00000000085, 5.89926368802, 3156.80514956520},
1385 { 0.00000000090, 0.49974649623, 77.75054398390},
1386 { 0.00000000085, 2.91624163677, 746.76215510130},
1387 { 0.00000000088, 0.46680815352, 1912.57831194120},
1388 { 0.00000000084, 4.29098368309, 896.32535223590},
1389 { 0.00000000084, 3.26093035827, 1101.02642796480},
1390 { 0.00000000097, 5.87961038568, 2648.45482547300},
1391 { 0.00000000112, 1.42592292237, 3046.59882834580},
1392 { 0.00000000095, 5.07265268907, 1887.30551767570},
1393 { 0.00000000096, 1.73235805032, 3803.81598288000},
1394 { 0.00000000095, 5.49343620014, 452.20105354160},
1395 { 0.00000000084, 6.00447997565, 4333.50694797460},
1396 { 0.00000000092, 1.30019476195, 25241.82030682300},
1397 { 0.00000000091, 0.34482517770, 912.47886193050},
1398 { 0.00000000089, 5.25882296348, 528.46712481720},
1399 { 0.00000000087, 2.55502392314, 10323.49186743040},
1400 { 0.00000000092, 5.75692439129, 113.12708252620},
1401 { 0.00000000083, 1.67229948282, 229.76142167330},
1402 { 0.00000000110, 1.58491727058, 1023.95720753710},
1403 { 0.00000000084, 2.57764287124, 1448.91086701040},
1404 { 0.00000000084, 1.61297525962, 1173.36034597730},
1405 { 0.00000000090, 0.42687791140, 473.65931462300},
1406 { 0.00000000100, 4.61116427326, 582.38116313410},
1407 { 0.00000000093, 5.76287499930, 203.89792657680},
1408 { 0.00000000102, 0.71631463560, 26301.20223701220},
1409 { 0.00000000086, 4.04071522456, 3789.58888887840},
1410 { 0.00000000108, 1.27513065507, 946.72792841500},
1411 { 0.00000000085, 3.37712901665, 1621.31622419820},
1412 { 0.00000000099, 1.96529929552, 1452.84302027350},
1413 { 0.00000000088, 5.20958727187, 9470.29548567840},
1414 { 0.00000000085, 0.31181175336, 627.15466502070},
1415 { 0.00000000081, 3.03622757274, 196.83676920270},
1416 { 0.00000000083, 2.42949595819, 818.57480825200},
1417 { 0.00000000081, 1.89609165087, 364.34676528090},
1418 { 0.00000000087, 5.45538307617, 1147.49685088080},
1419 { 0.00000000080, 5.25329934448, 4532.57894941100},
1420 { 0.00000000082, 0.02899852098, 4856.08436606840},
1421 { 0.00000000083, 3.14142784311, 157.63995198190},
1422 { 0.00000000097, 1.23841230494, 95.01601937130},
1423 { 0.00000000100, 5.24393975284, 817.77165909990},
1424 { 0.00000000084, 0.31157071716, 1599.95853685330},
1425 { 0.00000000088, 4.27265950076, 1681.11996923850},
1426 { 0.00000000080, 2.85939270432, 1268.74887236410},
1427 { 0.00000000086, 0.97630886006, 200.03520928290},
1428 { 0.00000000083, 2.28713281517, 12.74262129330},
1429 { 0.00000000097, 0.91815961642, 1030.92774218600},
1430 { 0.00000000079, 3.07698098095, 206.07367385260},
1431 { 0.00000000091, 5.75729901464, 807.94979911340},
1432 { 0.00000000087, 0.42720761608, 10007.09999777380},
1433 { 0.00000000078, 3.71839527643, 146.38180339690},
1434 { 0.00000000108, 5.20280565998, 1184.40604624120},
1435 { 0.00000000092, 2.60904862533, 154.01661525950},
1436 { 0.00000000084, 0.32694738907, 1173.52040467170},
1437 { 0.00000000081, 3.57713443867, 205.97310011610},
1438 { 0.00000000085, 0.00036736404, 443.27296543240},
1439 { 0.00000000089, 3.50851506346, 835.78789401270},
1440 { 0.00000000087, 0.76899512620, 201.99276274320},
1441 { 0.00000000082, 3.64624188259, 718.61103814440},
1442 { 0.00000000100, 5.66342418624, 1115.25352196640},
1443 { 0.00000000080, 2.72322567646, 458.09076026500},
1444 { 0.00000000078, 2.92017576269, 634.48066034260},
1445 { 0.00000000094, 5.87172951757, 2545.36205125440},
1446 { 0.00000000082, 5.30395730854, 111.16952906590},
1447 { 0.00000000076, 5.95235039360, 649.45851386960},
1448 { 0.00000000092, 4.67308746790, 596.60825713570},
1449 { 0.00000000076, 5.61246309601, 595.71448525840},
1450 { 0.00000000088, 1.35973650628, 4223.30062675520},
1451 { 0.00000000089, 0.18598030370, 1482.04796780210},
1452 { 0.00000000077, 0.65783702665, 567.82400073240},
1453 { 0.00000000074, 3.13429668952, 529.16970023280},
1454 { 0.00000000077, 1.78883058145, 171.65459766240},
1455 { 0.00000000101, 2.01741399535, 943.75898299840},
1456 { 0.00000000081, 3.18217237590, 534.35683154060},
1457 { 0.00000000077, 5.55978103968, 878.32616366560},
1458 { 0.00000000088, 4.96030794134, 5966.68398033480},
1459 { 0.00000000093, 5.49611976914, 645.52636060650},
1460 { 0.00000000074, 5.82012747215, 316.44005376640},
1461 { 0.00000000086, 5.10320208624, 734.23198212910},
1462 { 0.00000000085, 4.02471557641, 987.78172535960},
1463 { 0.00000000074, 1.59328832031, 846.13101886100},
1464 { 0.00000000077, 5.04672541583, 238.57188970350},
1465 { 0.00000000095, 4.71721046069, 1037.29052966140},
1466 { 0.00000000082, 2.67123570357, 1877.01057693720},
1467 { 0.00000000088, 3.44796546980, 1587.42836388110},
1468 { 0.00000000086, 1.12360345918, 845.11962690470},
1469 { 0.00000000073, 0.30784168957, 109.99387289830},
1470 { 0.00000000092, 3.20015163409, 324.98988936570},
1471 { 0.00000000078, 4.90441489556, 828.13603580760},
1472 { 0.00000000088, 4.85305395851, 251.17149864490},
1473 { 0.00000000095, 4.06828252459, 738.32419408660},
1474 { 0.00000000074, 2.08215303049, 416.56388256840},
1475 { 0.00000000073, 3.80312093402, 110.41876954050},
1476 { 0.00000000086, 4.26211128325, 809.01358069640},
1477 { 0.00000000094, 4.99996575655, 378.64329525170},
1478 { 0.00000000095, 2.96497733290, 844.59836204290},
1479 { 0.00000000100, 0.15146872601, 186.21176006410},
1480 { 0.00000000088, 4.16731870359, 232.94281541100},
1481 { 0.00000000072, 2.01506338325, 94.42531854030},
1482 { 0.00000000076, 4.72470357864, 195.77298761970},
1483 { 0.00000000072, 0.63509909932, 645.31391228540},
1484 { 0.00000000085, 3.70783979194, 1057.89745748090},
1485 { 0.00000000073, 5.83760271337, 1560.61870728060},
1486 { 0.00000000072, 0.86081417266, 3892.68166309700},
1487 { 0.00000000072, 0.99750824683, 280.21638747910},
1488 { 0.00000000077, 1.14405747955, 227.57437354940},
1489 { 0.00000000071, 0.96814412427, 544.66881862160},
1490 { 0.00000000088, 1.03829142709, 266.95250132400},
1491 };
1492
1493
1494 static const struct ln_vsop saturn_longitude_l1[LONG_L1] = {
1495 { 213.29909521690, 0.00000000000, 0.00000000000},
1496 { 0.01297370862, 1.82834923978, 213.29909543800},
1497 { 0.00564345393, 2.88499717272, 7.11354700080},
1498 { 0.00093734369, 1.06311793502, 426.59819087600},
1499 { 0.00107674962, 2.27769131009, 206.18554843720},
1500 { 0.00040244455, 2.04108104671, 220.41264243880},
1501 { 0.00019941774, 1.27954390470, 103.09277421860},
1502 { 0.00010511678, 2.74880342130, 14.22709400160},
1503 { 0.00006416106, 0.38238295041, 639.89728631400},
1504 { 0.00004848994, 2.43037610229, 419.48464387520},
1505 { 0.00004056892, 2.92133209468, 110.20632121940},
1506 { 0.00003768635, 3.64965330780, 3.93215326310},
1507 { 0.00003384691, 2.41694503459, 3.18139373770},
1508 { 0.00003231693, 1.26149969158, 433.71173787680},
1509 { 0.00003071405, 2.32739504783, 199.07200143640},
1510 { 0.00001953179, 3.56378136497, 11.04570026390},
1511 { 0.00001249468, 2.62810757084, 95.97922721780},
1512 { 0.00000921350, 1.96069472334, 227.52618943960},
1513 { 0.00000701524, 4.43097553887, 529.69096509460},
1514 { 0.00000649591, 6.17410622073, 202.25339517410},
1515 { 0.00000627498, 6.11109816220, 309.27832265580},
1516 { 0.00000468362, 4.61704486774, 63.73589830340},
1517 { 0.00000440442, 6.01861163350, 853.19638175200},
1518 { 0.00000478347, 4.98809792152, 522.57741809380},
1519 { 0.00000408800, 2.10122200324, 323.50541665740},
1520 { 0.00000407654, 1.29967965754, 209.36694217490},
1521 { 0.00000343720, 3.95819456535, 412.37109687440},
1522 { 0.00000338569, 3.63538109408, 316.39186965660},
1523 { 0.00000336129, 3.77170200605, 735.87651353180},
1524 { 0.00000331895, 2.86077271205, 210.11770170030},
1525 { 0.00000346963, 2.24152661493, 632.78373931320},
1526 { 0.00000289484, 2.73211009526, 117.31986822020},
1527 { 0.00000254100, 0.54280472223, 647.01083331480},
1528 { 0.00000230497, 1.64428691304, 216.48048917570},
1529 { 0.00000280910, 5.74399466555, 2.44768055480},
1530 { 0.00000192275, 2.96534476762, 224.34479570190},
1531 { 0.00000171342, 4.09606536666, 846.08283475120},
1532 { 0.00000167110, 2.59746814308, 21.34064100240},
1533 { 0.00000136321, 2.28588945465, 10.29494073850},
1534 { 0.00000129468, 3.44863729720, 742.99006053260},
1535 { 0.00000127864, 4.09556557491, 217.23124870110},
1536 { 0.00000109809, 6.16222822735, 415.55249061210},
1537 { 0.00000093929, 3.48395603528, 1052.26838318840},
1538 { 0.00000092500, 3.94738565799, 88.86568021700},
1539 { 0.00000097503, 4.72798517062, 838.96928775040},
1540 { 0.00000085414, 1.21992749767, 440.82528487760},
1541 { 0.00000083544, 3.11243528672, 625.67019231240},
1542 { 0.00000077552, 6.24420223771, 302.16477565500},
1543 { 0.00000061557, 1.82806831206, 195.13984817330},
1544 { 0.00000061894, 4.29399030957, 127.47179660680},
1545 { 0.00000067100, 0.28960408801, 4.66586644600},
1546 { 0.00000056935, 5.01850216663, 137.03302416240},
1547 { 0.00000054018, 5.12526846805, 490.33408917940},
1548 { 0.00000054588, 0.28394184881, 74.78159856730},
1549 { 0.00000065843, 5.64781011841, 9.56122755560},
1550 { 0.00000049360, 1.44414937308, 536.80451209540},
1551 { 0.00000057790, 2.47591802875, 191.95845443560},
1552 { 0.00000044445, 2.70867717923, 5.41662597140},
1553 { 0.00000046462, 1.17725360336, 149.56319713460},
1554 { 0.00000040352, 3.88835739308, 728.76296653100},
1555 { 0.00000037766, 2.53385959344, 12.53017297220},
1556 { 0.00000046627, 5.14898441386, 515.46387109300},
1557 { 0.00000045601, 2.22651202659, 956.28915597060},
1558 { 0.00000040425, 0.41248570335, 269.92144674060},
1559 { 0.00000037318, 3.78007466606, 2.92076130680},
1560 { 0.00000033848, 3.21091304755, 1368.66025284500},
1561 { 0.00000037468, 0.63301847328, 422.66603761290},
1562 { 0.00000033013, 0.30379634705, 351.81659230870},
1563 { 0.00000030286, 2.84006878726, 203.00415469950},
1564 { 0.00000035096, 6.08465483298, 5.62907429250},
1565 { 0.00000033273, 4.64025207300, 277.03499374140},
1566 { 0.00000031908, 4.38588051077, 1155.36115740700},
1567 { 0.00000029011, 3.38845528142, 1059.38193018920},
1568 { 0.00000028659, 2.02118990830, 330.61896365820},
1569 { 0.00000029347, 5.41549054397, 1066.49547719000},
1570 { 0.00000028266, 2.74211823281, 265.98929347750},
1571 { 0.00000030064, 6.18691482959, 284.14854074220},
1572 { 0.00000031444, 2.43486054228, 52.69019803950},
1573 { 0.00000026507, 4.51149190693, 340.77089204480},
1574 { 0.00000022023, 5.14128268104, 4.19278569400},
1575 { 0.00000022201, 1.96451679625, 203.73786788240},
1576 { 0.00000021711, 2.67663515039, 942.06206196900},
1577 { 0.00000022573, 5.88439455151, 210.85141488320},
1578 { 0.00000019449, 4.76522617576, 70.84944530420},
1579 { 0.00000019260, 2.30000060917, 437.64389113990},
1580 { 0.00000019467, 6.16358069850, 860.30992875280},
1581 { 0.00000019308, 4.10055638793, 18.15924726470},
1582 { 0.00000022756, 4.13890496693, 191.20769491020},
1583 { 0.00000017772, 2.43993724475, 423.41679713830},
1584 { 0.00000017625, 1.84879760332, 234.63973644040},
1585 { 0.00000017917, 0.90281001853, 429.77958461370},
1586 { 0.00000015390, 4.23435556180, 1162.47470440780},
1587 { 0.00000014518, 3.60447992897, 1045.15483618760},
1588 { 0.00000014098, 2.94108637859, 1685.05212250160},
1589 { 0.00000016365, 4.04772986282, 949.17560896980},
1590 { 0.00000013351, 6.24525394105, 38.13303563780},
1591 { 0.00000015958, 1.06504854837, 56.62235130260},
1592 { 0.00000014066, 1.43547760486, 408.43894361130},
1593 { 0.00000015765, 5.59418374906, 6.15033915430},
1594 { 0.00000013047, 5.75713536656, 138.51749687070},
1595 { 0.00000014963, 5.77194144042, 22.09140052780},
1596 { 0.00000015910, 1.93236196007, 1272.68102562720},
1597 { 0.00000012859, 4.24850891703, 405.25754987360},
1598 { 0.00000013585, 4.09378444821, 1471.75302706360},
1599 { 0.00000015186, 0.74349230082, 200.76892246580},
1600 { 0.00000016343, 5.95883716209, 628.85158605010},
1601 { 0.00000010876, 1.54843099228, 223.59403617650},
1602 { 0.00000012178, 1.86122230918, 131.40394986990},
1603 { 0.00000011698, 1.80956732786, 124.43341522100},
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2012 { 0.00000000222, 3.48856424574, 212.02707105080},
2013 { 0.00000000217, 0.72166809400, 757.21715453420},
2014 { 0.00000000223, 1.92215883184, 938.12990870590},
2015 { 0.00000000217, 3.05680736768, 1130.23137549340},
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2017 { 0.00000000275, 1.22972617627, 2957.73314812880},
2018 { 0.00000000243, 1.73888991150, 432.01481684740},
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2021 { 0.00000000244, 3.15828383212, 7.00167241620},
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2229 { 0.00000000109, 4.59330410482, 1471.00226753820},
2230 { 0.00000000098, 1.97227067133, 555.55446019110},
2231 { 0.00000000099, 3.74114595447, 619.29035849450},
2232 { 0.00000000093, 1.81950573050, 1523.69246557770},
2233 { 0.00000000105, 5.49083925380, 501.23677709140},
2234 { 0.00000000092, 1.24014873712, 1123.11782849260},
2235 { 0.00000000113, 1.72036934079, 220.36445832900},
2236 { 0.00000000091, 0.17221579825, 1097.09427470170},
2237 { 0.00000000098, 1.79805037973, 1254.52177836250},
2238 { 0.00000000112, 4.45867298294, 763.43692965770},
2239 { 0.00000000091, 3.20001937333, 962.50893109410},
2240 { 0.00000000094, 2.86714047622, 548.44091319030},
2241 { 0.00000000101, 3.07892909093, 725.58157279330},
2242 { 0.00000000115, 3.37491688156, 313.94418910180},
2243 { 0.00000000089, 4.83279938124, 657.16276170140},
2244 { 0.00000000106, 3.73569157743, 220.93390730060},
2245 { 0.00000000088, 4.81404995864, 670.49608382570},
2246 { 0.00000000093, 2.11909409613, 731.68372783780},
2247 { 0.00000000091, 2.84990081277, 1158.54255114470},
2248 { 0.00000000088, 5.43215955591, 894.84087952760},
2249 { 0.00000000109, 0.99369307649, 49.50880430180},
2250 { 0.00000000088, 4.57978939179, 3590.51688744200},
2251 { 0.00000000090, 6.22046531228, 206.93630796260},
2252 { 0.00000000089, 1.38380314332, 2431.97433629730},
2253 { 0.00000000089, 0.85422789927, 885.43971066640},
2254 { 0.00000000092, 1.70846492069, 4525.46540241020},
2255 { 0.00000000088, 4.19065380742, 20426.57109242200},
2256 { 0.00000000103, 5.09211864667, 213.45915413240},
2257 { 0.00000000114, 4.77634498556, 2332.06295581640},
2258 { 0.00000000090, 5.94905546946, 434.67494572330},
2259 { 0.00000000085, 6.00473791340, 1997.51183889510},
2260 { 0.00000000093, 4.74694917061, 25874.60404613620},
2261 { 0.00000000088, 3.93572406470, 924.04582705620},
2262 { 0.00000000085, 2.23193157611, 4223.30062675520},
2263 { 0.00000000097, 5.28832295436, 226.63241756230},
2264 { 0.00000000090, 2.77655931107, 355.74874557180},
2265 { 0.00000000087, 2.86761196300, 2005.37614542130},
2266 { 0.00000000101, 5.96125293373, 140.96517742550},
2267 { 0.00000000103, 1.70664595857, 213.13903674360},
2268 { 0.00000000086, 5.87484967593, 5636.06501667660},
2269 { 0.00000000081, 3.27163515580, 392.65794093220},
2270 { 0.00000000110, 2.15873993795, 0.96320784650},
2271 { 0.00000000091, 4.18922453316, 714.53587252940},
2272 { 0.00000000084, 0.82519318544, 875.83029900100},
2273 { 0.00000000090, 1.61216801859, 219.66188291340},
2274 { 0.00000000083, 0.51126636938, 366.04368631030},
2275 { 0.00000000095, 3.18236269647, 401.32539661050},
2276 { 0.00000000080, 0.86894269984, 233.90602325750},
2277 { 0.00000000079, 1.86255607416, 1371.84164658270},
2278 { 0.00000000088, 3.90599024940, 1030.92774218600},
2279 { 0.00000000099, 3.26868558102, 988.53248488500},
2280 { 0.00000000084, 6.03336793666, 199.96577331370},
2281 { 0.00000000090, 2.82003299044, 4841.85727206680},
2282 { 0.00000000084, 2.92855920153, 700.45179087970},
2283 { 0.00000000103, 5.93497932729, 3384.33133900480},
2284 { 0.00000000078, 5.48349540273, 1166.40685767090},
2285 { 0.00000000094, 2.30477326334, 4443.71326919400},
2286 { 0.00000000081, 4.94647597211, 746.92221379570},
2287 { 0.00000000084, 2.56214102684, 960.22130923370},
2288 { 0.00000000082, 0.04782722111, 608.87779767700},
2289 { 0.00000000082, 5.83227223542, 769.81676347560},
2290 { 0.00000000082, 0.85049036010, 2228.97018159780},
2291 { 0.00000000096, 4.26079753884, 562.14674233010},
2292 { 0.00000000085, 5.60454891423, 177.87437278590},
2293 { 0.00000000080, 2.70295280428, 1706.39276350400},
2294 { 0.00000000080, 2.38017647755, 3156.80514956520},
2295 { 0.00000000077, 0.86072619300, 599.64663852150},
2296 { 0.00000000087, 3.23866124089, 9786.68735533500},
2297 { 0.00000000077, 4.92131979643, 628.59095361920},
2298 { 0.00000000086, 1.60736733611, 1048.33622992530},
2299 { 0.00000000078, 5.37725237047, 155.19227142710},
2300 { 0.00000000099, 4.60217992901, 1493.09366806600},
2301 { 0.00000000075, 1.58021212251, 2115.58246664070},
2302 { 0.00000000077, 5.31973680960, 700.66423920080},
2303 { 0.00000000074, 0.97806259478, 455.05237887920},
2304 { 0.00000000099, 0.79638071608, 4017.11507831800},
2305 { 0.00000000078, 3.39406953094, 106.01353552540},
2306 { 0.00000000073, 4.04232842619, 907.37105249980},
2307 { 0.00000000078, 3.51704454140, 969.62247809490},
2308 { 0.00000000074, 3.12025543151, 201.99276274320},
2309 { 0.00000000088, 1.09928677784, 1246.65747183630},
2310 { 0.00000000078, 5.49208074374, 477.00076705510},
2311 { 0.00000000079, 2.75804430794, 847.04604259770},
2312 };
2313
2314
2315 static const struct ln_vsop saturn_longitude_l2[LONG_L2] = {
2316 { 0.00116441330, 1.17988132879, 7.11354700080},
2317 { 0.00091841837, 0.07325195840, 213.29909543800},
2318 { 0.00036661728, 0.00000000000, 0.00000000000},
2319 { 0.00015274496, 4.06493179167, 206.18554843720},
2320 { 0.00010987259, 5.44479188310, 426.59819087600},
2321 { 0.00010629830, 0.25764306189, 220.41264243880},
2322 { 0.00004265404, 1.04596041482, 14.22709400160},
2323 { 0.00001215447, 2.91866579609, 103.09277421860},
2324 { 0.00001142595, 4.63711665368, 639.89728631400},
2325 { 0.00001061494, 5.68896768215, 433.71173787680},
2326 { 0.00001020102, 0.63368457250, 3.18139373770},
2327 { 0.00001044759, 4.04202827818, 199.07200143640},
2328 { 0.00000648857, 4.33990455509, 419.48464387520},
2329 { 0.00000549320, 5.57301151406, 3.93215326310},
2330 { 0.00000456767, 1.26896848480, 110.20632121940},
2331 { 0.00000424918, 0.20908786519, 227.52618943960},
2332 { 0.00000273782, 4.28857061190, 95.97922721780},
2333 { 0.00000161533, 1.38145587317, 11.04570026390},
2334 { 0.00000129502, 1.56592444783, 309.27832265580},
2335 { 0.00000108829, 3.89769392463, 853.19638175200},
2336 { 0.00000100917, 0.89243113369, 21.34064100240},
2337 { 0.00000100710, 4.89713543344, 647.01083331480},
2338 { 0.00000095154, 5.62447011514, 412.37109687440},
2339 { 0.00000081962, 1.02414352999, 117.31986822020},
2340 { 0.00000074860, 4.76187112999, 210.11770170030},
2341 { 0.00000082667, 6.05014465562, 216.48048917570},
2342 { 0.00000095500, 2.91469950689, 316.39186965660},
2343 { 0.00000064191, 0.35066202401, 323.50541665740},
2344 { 0.00000084889, 5.73495539065, 209.36694217490},
2345 { 0.00000066442, 0.48307559227, 10.29494073850},
2346 { 0.00000067164, 0.45592762644, 522.57741809380},
2347 { 0.00000053849, 2.71027004601, 529.69096509460},
2348 { 0.00000052073, 4.77422682479, 632.78373931320},
2349 { 0.00000044991, 5.69247085773, 440.82528487760},
2350 { 0.00000045297, 1.66820818508, 202.25339517410},
2351 { 0.00000042349, 5.70774454577, 88.86568021700},
2352 { 0.00000032050, 0.06977561095, 63.73589830340},
2353 { 0.00000031531, 1.67269081492, 302.16477565500},
2354 { 0.00000031160, 4.16289690897, 191.95845443560},
2355 { 0.00000024709, 5.65552005153, 735.87651353180},
2356 { 0.00000026540, 0.82957323703, 224.34479570190},
2357 { 0.00000020111, 5.94400958785, 217.23124870110},
2358 { 0.00000017562, 4.90127107888, 625.67019231240},
2359 { 0.00000017423, 1.62944882745, 742.99006053260},
2360 { 0.00000013745, 3.76551606198, 195.13984817330},
2361 { 0.00000012239, 4.71655885093, 203.00415469950},
2362 { 0.00000011865, 0.12658169661, 234.63973644040},
2363 { 0.00000015992, 0.58010406176, 515.46387109300},
2364 { 0.00000012178, 3.02991813349, 846.08283475120},
2365 { 0.00000011013, 5.91647084481, 536.80451209540},
2366 { 0.00000013971, 0.20726957441, 838.96928775040},
2367 { 0.00000010983, 5.61246766042, 728.76296653100},
2368 { 0.00000009950, 0.24994105562, 330.61896365820},
2369 { 0.00000009192, 4.15737094186, 860.30992875280},
2370 { 0.00000009424, 3.21424196104, 1066.49547719000},
2371 { 0.00000009432, 0.46528491211, 956.28915597060},
2372 { 0.00000010125, 4.98323117202, 422.66603761290},
2373 { 0.00000008282, 2.14237248360, 269.92144674060},
2374 { 0.00000007182, 5.40492160991, 1052.26838318840},
2375 { 0.00000007530, 5.24653553801, 429.77958461370},
2376 { 0.00000006339, 4.46236888166, 284.14854074220},
2377 { 0.00000005962, 5.41494016179, 149.56319713460},
2378 { 0.00000007482, 4.02606821044, 9.56122755560},
2379 { 0.00000005720, 4.26530477198, 415.55249061210},
2380 { 0.00000006049, 5.93261878105, 405.25754987360},
2381 { 0.00000005707, 0.01088469960, 124.43341522100},
2382 { 0.00000004736, 2.27408430395, 18.15924726470},
2383 { 0.00000005605, 6.02186673660, 223.59403617650},
2384 { 0.00000004492, 4.93190106788, 654.12438031560},
2385 { 0.00000004572, 4.41905037462, 942.06206196900},
2386 { 0.00000005619, 0.29640581964, 127.47179660680},
2387 { 0.00000005427, 5.54628097641, 949.17560896980},
2388 { 0.00000004050, 4.70655233568, 74.78159856730},
2389 { 0.00000004983, 3.20538998582, 277.03499374140},
2390 { 0.00000004231, 2.89079464814, 56.62235130260},
2391 { 0.00000004064, 5.30594179929, 1045.15483618760},
2392 { 0.00000003949, 3.30804079830, 490.33408917940},
2393 { 0.00000003966, 6.12786433144, 81.75213321620},
2394 { 0.00000003740, 4.93207109771, 52.69019803950},
2395 { 0.00000004556, 6.13297205287, 1155.36115740700},
2396 { 0.00000003710, 0.40358664974, 137.03302416240},
2397 { 0.00000003405, 4.28369409738, 99.91138048090},
2398 { 0.00000003385, 1.58207215076, 1059.38193018920},
2399 { 0.00000003946, 0.36427920856, 12.53017297220},
2400 { 0.00000004075, 0.29371909541, 831.85574074960},
2401 { 0.00000003337, 0.22680009908, 1272.68102562720},
2402 { 0.00000003645, 0.15608090085, 437.64389113990},
2403 { 0.00000002882, 3.16980253835, 70.84944530420},
2404 { 0.00000002820, 0.32685718956, 191.20769491020},
2405 { 0.00000002675, 1.87525173150, 295.05122865420},
2406 { 0.00000003593, 4.72358358604, 423.41679713830},
2407 { 0.00000002692, 3.59467219768, 131.40394986990},
2408 { 0.00000002611, 5.15121377007, 1368.66025284500},
2409 { 0.00000002439, 3.90853469376, 210.85141488320},
2410 { 0.00000002460, 1.58503027010, 32.24332891440},
2411 { 0.00000002370, 4.74096554852, 351.81659230870},
2412 { 0.00000002444, 5.81456271395, 106.27416795630},
2413 { 0.00000002213, 2.05928438838, 6076.89030155420},
2414 { 0.00000002206, 5.98426401448, 6062.66320755260},
2415 { 0.00000002163, 5.95837514288, 145.63104387150},
2416 { 0.00000002748, 3.38304528348, 408.43894361130},
2417 { 0.00000002284, 3.14006785569, 22.09140052780},
2418 { 0.00000002089, 3.48276343851, 10007.09999777380},
2419 { 0.00000002078, 1.12426049665, 9992.87290377220},
2420 { 0.00000002575, 5.11506203019, 265.98929347750},
2421 { 0.00000001810, 5.03261959505, 1361.54670584420},
2422 { 0.00000001751, 4.12209032177, 107.02492748170},
2423 { 0.00000001757, 4.17277201762, 1258.45393162560},
2424 { 0.00000001917, 4.52092673239, 138.51749687070},
2425 { 0.00000001660, 1.36759705430, 231.45834270270},
2426 { 0.00000001629, 3.76846556637, 628.85158605010},
2427 { 0.00000002073, 5.24889328333, 1265.56747862640},
2428 { 0.00000001908, 5.87241184631, 1471.75302706360},
2429 { 0.00000001491, 0.47137450159, 340.77089204480},
2430 { 0.00000001469, 5.63066479682, 447.93883187840},
2431 { 0.00000001368, 2.90191179360, 215.74677599280},
2432 { 0.00000001387, 5.85935596482, 430.53034413910},
2433 { 0.00000001722, 6.23117770604, 1148.24761040620},
2434 { 0.00000001303, 0.59972315177, 28.45418800320},
2435 { 0.00000001190, 2.83055605436, 200.76892246580},
2436 { 0.00000001266, 5.78318939698, 543.91805909620},
2437 { 0.00000001159, 3.52473802224, 497.44763618020},
2438 { 0.00000001433, 0.85149270762, 6069.77675455340},
2439 { 0.00000001244, 0.03107328684, 1589.07289528380},
2440 { 0.00000001091, 4.96912261840, 1685.05212250160},
2441 { 0.00000000993, 1.59950662100, 1375.77379984580},
2442 { 0.00000001342, 2.27535909191, 9999.98645077300},
2443 { 0.00000001164, 0.71458004021, 508.35032409220},
2444 { 0.00000001054, 1.40406602585, 483.22054217860},
2445 { 0.00000001108, 1.19549464972, 618.55664531160},
2446 { 0.00000000959, 4.22880834220, 288.08069400530},
2447 { 0.00000001031, 1.08925635580, 184.84490743480},
2448 { 0.00000000926, 2.59820818098, 134.58534360760},
2449 { 0.00000000934, 2.43391814989, 222.86032299360},
2450 { 0.00000000935, 2.65004321100, 1279.79457262800},
2451 { 0.00000000932, 2.47823744049, 703.63318461740},
2452 { 0.00000000894, 4.52571251065, 38.13303563780},
2453 { 0.00000000889, 2.26537788507, 1162.47470440780},
2454 { 0.00000001026, 4.88481004083, 750.10360753340},
2455 { 0.00000000861, 4.72556919318, 362.86229257260},
2456 { 0.00000000987, 4.55508044870, 635.96513305090},
2457 { 0.00000000817, 4.78613243939, 1677.93857550080},
2458 { 0.00000000838, 2.22382688806, 333.65734504400},
2459 { 0.00000000818, 5.77611891155, 416.30325013750},
2460 { 0.00000000770, 3.43128784800, 1073.60902419080},
2461 { 0.00000000775, 2.51136824078, 343.21857259960},
2462 { 0.00000000734, 2.35308297796, 120.35824960600},
2463 { 0.00000000882, 5.59382134246, 1788.14489672020},
2464 { 0.00000000718, 3.92701610563, 1574.84580128220},
2465 { 0.00000000728, 4.85632864351, 76.26607127560},
2466 { 0.00000000696, 3.68169796191, 347.88443904560},
2467 { 0.00000000683, 3.73251938537, 203.73786788240},
2468 { 0.00000000668, 2.85405845694, 92.04707395470},
2469 { 0.00000000846, 5.00619971250, 1581.95934828300},
2470 { 0.00000000714, 5.73513429762, 721.64941953020},
2471 { 0.00000000697, 0.20687083504, 99.16062095550},
2472 { 0.00000000675, 5.62875135263, 17.26547538740},
2473 { 0.00000000838, 5.97145881711, 1464.63948006280},
2474 { 0.00000000641, 0.67589597459, 46.47042291600},
2475 { 0.00000000634, 4.84360016292, 357.44566660120},
2476 { 0.00000000813, 0.65010530865, 113.38771495710},
2477 { 0.00000000779, 0.04397099012, 1169.58825140860},
2478 { 0.00000000654, 5.89612648687, 337.73251065900},
2479 { 0.00000000543, 5.07477971244, 388.46515523820},
2480 { 0.00000000534, 1.21443390921, 62.25142559510},
2481 { 0.00000000530, 5.45074206690, 312.19908396260},
2482 { 0.00000000524, 4.84778928724, 358.93013930950},
2483 { 0.00000000524, 1.53836680827, 195.89060769870},
2484 { 0.00000000598, 0.90807361549, 1692.16566950240},
2485 { 0.00000000521, 3.69000991897, 217.96496188400},
2486 { 0.00000000661, 4.49401694007, 643.07868005170},
2487 { 0.00000000537, 6.17024172829, 182.27960680100},
2488 { 0.00000000539, 0.29923807305, 98.89998852460},
2489 { 0.00000000504, 3.80940628684, 168.05251279940},
2490 { 0.00000000489, 1.08047606868, 5856.47765911540},
2491 { 0.00000000570, 3.22538390359, 208.63322899200},
2492 { 0.00000000542, 6.00891355828, 1905.46476494040},
2493 { 0.00000000468, 2.50179341284, 9786.68735533500},
2494 { 0.00000000478, 4.69534368607, 2001.44399215820},
2495 { 0.00000000468, 0.69718202430, 258.87574647670},
2496 { 0.00000000456, 3.18302424015, 218.92816973050},
2497 { 0.00000000542, 0.56755755204, 404.50679034820},
2498 { 0.00000000418, 4.81455000162, 636.71589257630},
2499 { 0.00000000405, 3.79642493875, 24.37902238820},
2500 { 0.00000000428, 0.98881943857, 160.60889739850},
2501 { 0.00000000395, 3.50540272263, 129.91947716160},
2502 { 0.00000000491, 5.25616442245, 436.89313161450},
2503 { 0.00000000395, 0.63866561227, 5849.36411211460},
2504 { 0.00000000401, 3.91645377349, 565.11568774670},
2505 { 0.00000000385, 3.66039075343, 563.63121503840},
2506 { 0.00000000385, 4.21962510029, 867.42347575360},
2507 { 0.00000000395, 0.79256328399, 767.36908292080},
2508 { 0.00000000397, 1.47228787593, 273.10284047830},
2509 { 0.00000000407, 5.47101735998, 1038.04128918680},
2510 { 0.00000000450, 2.16827084832, 561.18353448360},
2511 { 0.00000000371, 2.92289280832, 212.33588759150},
2512 { 0.00000000471, 0.67355945445, 207.88246946660},
2513 { 0.00000000494, 3.69576582281, 350.33211960040},
2514 { 0.00000000445, 2.54960078264, 313.21047591890},
2515 { 0.00000000430, 5.32368128659, 2104.53676637680},
2516 { 0.00000000360, 0.37557163523, 214.26230328450},
2517 { 0.00000000346, 1.06976563801, 114.13847448250},
2518 { 0.00000000374, 3.12722101473, 621.73803904930},
2519 { 0.00000000349, 1.34436318123, 554.06998748280},
2520 { 0.00000000423, 5.71328898571, 225.82926841020},
2521 { 0.00000000430, 2.66387237515, 77.96299230500},
2522 { 0.00000000380, 5.56440978604, 131.54696222180},
2523 { 0.00000000370, 4.71794670577, 1994.33044515740},
2524 { 0.00000000336, 5.22381691731, 142.44965013380},
2525 { 0.00000000451, 5.70353371091, 1781.03134971940},
2526 { 0.00000000341, 5.92928351979, 26.82670294300},
2527 { 0.00000000413, 5.25442167600, 85.82729883120},
2528 { 0.00000000308, 3.68245311562, 1891.23767093880},
2529 { 0.00000000307, 0.83912741778, 6283.07584999140},
2530 { 0.00000000310, 1.98294407285, 9779.57380833420},
2531 { 0.00000000307, 2.20383229267, 10213.28554621100},
2532 { 0.00000000325, 0.64360996757, 45.57665103870},
2533 { 0.00000000394, 5.76677470794, 39.35687591520},
2534 { 0.00000000330, 5.27653526017, 629.60234557550},
2535 { 0.00000000299, 1.88775208899, 1493.09366806600},
2536 { 0.00000000352, 4.48509640628, 1898.35121793960},
2537 { 0.00000000281, 3.16317079558, 424.15051032120},
2538 { 0.00000000316, 4.97188239617, 757.21715453420},
2539 { 0.00000000287, 0.97698684717, 685.47393735270},
2540 { 0.00000000276, 6.25944561110, 241.75328344120},
2541 { 0.00000000275, 0.90501179953, 245.54242435240},
2542 { 0.00000000300, 0.68979920030, 2008.55753915900},
2543 { 0.00000000295, 3.39770460737, 699.70103135430},
2544 { 0.00000000279, 4.56569473908, 291.26208774300},
2545 { 0.00000000270, 4.56602256237, 1382.88734684660},
2546 { 0.00000000281, 4.02513980273, 472.17484191470},
2547 { 0.00000000351, 2.51708328514, 344.70304530790},
2548 { 0.00000000249, 5.83224046008, 546.95644048200},
2549 { 0.00000000298, 0.40245622540, 824.74219374880},
2550 { 0.00000000253, 1.80130756456, 5643.17856367740},
2551 { 0.00000000255, 1.70309731649, 916.93228005540},
2552 { 0.00000000240, 1.92537411069, 432.22726516850},
2553 { 0.00000000231, 1.13100606986, 519.39602435610},
2554 { 0.00000000257, 3.06004165978, 778.41478318470},
2555 { 0.00000000235, 5.36973988104, 426.55000676620},
2556 { 0.00000000237, 3.37687225050, 1055.44977692610},
2557 { 0.00000000235, 3.22448277667, 9573.38825989700},
2558 { 0.00000000226, 3.88426552477, 576.16138801060},
2559 { 0.00000000222, 3.93659042060, 319.57326339430},
2560 { 0.00000000298, 6.14531746207, 421.18156490460},
2561 { 0.00000000219, 5.77768418505, 92.79783348010},
2562 { 0.00000000301, 5.93880232828, 486.40193591630},
2563 { 0.00000000250, 3.12140604420, 144.14657116320},
2564 { 0.00000000259, 5.84103167814, 650.94298657790},
2565 { 0.00000000268, 5.02934715041, 6275.96230299060},
2566 { 0.00000000250, 3.40150002263, 842.15068148810},
2567 { 0.00000000247, 1.67833021022, 696.51963761660},
2568 { 0.00000000224, 4.81984414234, 945.99421523210},
2569 { 0.00000000269, 5.94851586836, 230.70758317730},
2570 { 0.00000000256, 3.78687318805, 963.40270297140},
2571 { 0.00000000238, 2.37468752028, 306.09692891810},
2572 { 0.00000000211, 0.95998214239, 526.50957135690},
2573 { 0.00000000211, 2.91633331348, 1596.18644228460},
2574 { 0.00000000202, 0.40419643612, 479.28838891550},
2575 { 0.00000000201, 4.15907677541, 572.22923474750},
2576 { 0.00000000218, 2.66042692356, 776.93031047640},
2577 { 0.00000000198, 1.98905153495, 425.63498302950},
2578 { 0.00000000204, 0.88373842674, 31.49256938900},
2579 { 0.00000000197, 2.81822588165, 1286.90811962880},
2580 { 0.00000000196, 2.21181034487, 65.22037101170},
2581 { 0.00000000260, 0.63239909077, 934.94851496820},
2582 { 0.00000000222, 3.92299544057, 289.56516671360},
2583 { 0.00000000192, 5.13699333789, 329.72519178090},
2584 { 0.00000000206, 2.28201140383, 421.93232443000},
2585 { 0.00000000225, 4.85845144987, 116.42609634290},
2586 { 0.00000000236, 5.80481391592, 2221.85663459700},
2587 { 0.00000000197, 4.07875793212, 252.65597135320},
2588 { 0.00000000215, 6.03854865322, 3700.72320866140},
2589 { 0.00000000250, 3.75929924932, 4002.88798431640},
2590 { 0.00000000190, 2.06061340112, 425.11371816770},
2591 { 0.00000000230, 4.58718822052, 2310.72231481400},
2592 { 0.00000000208, 3.08549771485, 41.64449777560},
2593 { 0.00000000202, 3.49000077242, 417.03696332040},
2594 { 0.00000000204, 1.76041711688, 556.51766803760},
2595 { 0.00000000237, 5.80077673064, 1049.08698945070},
2596 { 0.00000000191, 4.75409244295, 953.10776223290},
2597 { 0.00000000185, 0.13733419547, 188.02630117250},
2598 { 0.00000000197, 4.34756838460, 518.38463239980},
2599 { 0.00000000183, 2.73162234448, 710.74673161820},
2600 { 0.00000000195, 5.58380753596, 610.69233878540},
2601 { 0.00000000182, 2.35670801192, 273.85360000370},
2602 { 0.00000000227, 0.10075592589, 1141.13406340540},
2603 { 0.00000000186, 5.88991186489, 842.90144101350},
2604 { 0.00000000181, 1.84005459910, 3281.23856478620},
2605 { 0.00000000204, 4.63761086650, 2730.20695868920},
2606 { 0.00000000219, 0.20858177566, 398.14400287280},
2607 { 0.00000000178, 4.36336156447, 1262.38608488870},
2608 { 0.00000000234, 5.41547130725, 2840.41327990860},
2609 { 0.00000000179, 2.71915583308, 823.99143422340},
2610 { 0.00000000179, 6.16908116316, 429.51895218280},
2611 { 0.00000000221, 4.67090997536, 2317.83586181480},
2612 { 0.00000000218, 4.48655129162, 2214.74308759620},
2613 { 0.00000000178, 4.73985898920, 84.93352695390},
2614 { 0.00000000219, 5.88231558225, 739.80866679490},
2615 { 0.00000000212, 3.55778109357, 3899.79521009780},
2616 { 0.00000000175, 3.98733824496, 181.05576652360},
2617 { 0.00000000170, 3.48655578504, 501.37978944330},
2618 { 0.00000000190, 5.08820154691, 838.21852822500},
2619 { 0.00000000168, 4.17824892556, 601.76425067620},
2620 { 0.00000000186, 6.27969083232, 3384.33133900480},
2621 { 0.00000000170, 4.04307080504, 2627.11418447060},
2622 { 0.00000000210, 6.24922487858, 312.45971639350},
2623 { 0.00000000161, 0.65418381232, 427.11945573780},
2624 { 0.00000000175, 5.76796435765, 427.56139872250},
2625 { 0.00000000170, 4.19634927387, 570.74476203920},
2626 { 0.00000000183, 5.30941051861, 1354.43315884340},
2627 { 0.00000000194, 4.72715532688, 2723.09341168840},
2628 { 0.00000000159, 2.54013792041, 156.67674413540},
2629 { 0.00000000183, 5.05394949061, 1670.82502850000},
2630 { 0.00000000192, 5.30444951399, 2097.42321937600},
2631 { 0.00000000154, 1.43624792504, 238.57188970350},
2632 { 0.00000000166, 4.87871165187, 207.14875628370},
2633 { 0.00000000161, 2.29074640137, 429.04587143080},
2634 { 0.00000000161, 3.10589263843, 381.35160823740},
2635 { 0.00000000193, 6.19289037233, 1485.98012106520},
2636 { 0.00000000148, 3.78227154874, 220.46082654860},
2637 { 0.00000000155, 2.71042195871, 5863.59120611620},
2638 { 0.00000000148, 5.81240331182, 432.01481684740},
2639 { 0.00000000168, 0.85973603244, 216.21985674480},
2640 { 0.00000000147, 2.98831696580, 431.26405732200},
2641 { 0.00000000153, 1.97960511891, 41.05379694460},
2642 { 0.00000000156, 1.78885164774, 905.88657979150},
2643 { 0.00000000144, 0.23243678012, 59.80374504030},
2644 { 0.00000000176, 5.85076256980, 2538.24850425360},
2645 { 0.00000000153, 4.17220193633, 9793.80090233580},
2646 { 0.00000000139, 1.88602485832, 334.55111692130},
2647 { 0.00000000138, 3.86227960029, 305.34616939270},
2648 { 0.00000000146, 6.22852846698, 1795.25844372100},
2649 { 0.00000000143, 3.54423986926, 251.43213107580},
2650 { 0.00000000183, 3.75243223047, 856.37777548970},
2651 { 0.00000000193, 5.96350046980, 732.69511979410},
2652 { 0.00000000144, 0.80418666244, 128.36556848410},
2653 { 0.00000000140, 0.96566780880, 298.23262239190},
2654 { 0.00000000157, 5.60834759134, 551.03160609700},
2655 { 0.00000000131, 1.93665169948, 436.15941843160},
2656 { 0.00000000140, 0.93212776526, 624.91943278700},
2657 { 0.00000000166, 5.70521578740, 643.82943957710},
2658 { 0.00000000142, 4.28104505116, 3046.59882834580},
2659 { 0.00000000133, 0.06539503690, 218.71572140940},
2660 { 0.00000000136, 2.81474654925, 3473.19701922180},
2661 { 0.00000000150, 0.04573957934, 213.25091132820},
2662 { 0.00000000150, 3.24352648336, 213.34727954780},
2663 { 0.00000000124, 0.09580718084, 945.24345570670},
2664 { 0.00000000133, 0.94022058895, 1478.86657406440},
2665 { 0.00000000125, 4.94887245998, 661.23792731640},
2666 { 0.00000000124, 2.97015258114, 692.58748435350},
2667 { 0.00000000126, 1.51394399969, 611.44309831080},
2668 { 0.00000000158, 4.72257677135, 295.19424100610},
2669 { 0.00000000150, 0.60398672305, 2413.81508903260},
2670 { 0.00000000156, 5.12996334469, 2420.92863603340},
2671 { 0.00000000117, 3.64929207405, 3362.99069800240},
2672 { 0.00000000117, 0.79489355403, 444.75743814070},
2673 { 0.00000000115, 1.69119601859, 2118.76386037840},
2674 { 0.00000000114, 1.98550407909, 774.48262992160},
2675 { 0.00000000118, 0.91668991972, 397.39324334740},
2676 { 0.00000000144, 4.33884007719, 2620.00063746980},
2677 { 0.00000000114, 2.79166033655, 235.39049596580},
2678 { 0.00000000115, 4.38822748118, 206.13736432740},
2679 { 0.00000000130, 4.69716812098, 2737.32050569000},
2680 { 0.00000000111, 6.17613645667, 380.12776796000},
2681 { 0.00000000121, 2.03089873253, 525.49817940060},
2682 { 0.00000000114, 1.25282479588, 6290.18939699220},
2683 { 0.00000000116, 4.50304390109, 2531.13495725280},
2684 { 0.00000000116, 3.10820904194, 219.44943459230},
2685 { 0.00000000130, 2.39191628139, 217.49188113200},
2686 { 0.00000000106, 4.99816879211, 2936.39250712640},
2687 { 0.00000000117, 5.47700869225, 209.10630974400},
2688 { 0.00000000108, 2.67653144313, 10220.39909321180},
2689 { 0.00000000106, 0.72832676913, 3480.31056622260},
2690 { 0.00000000109, 3.11293456456, 1688.98427576470},
2691 { 0.00000000132, 4.86619194495, 175.16605980020},
2692 { 0.00000000109, 3.41245137157, 1159.29331067010},
2693 { 0.00000000102, 1.34825182101, 927.83496796740},
2694 { 0.00000000101, 4.38136430289, 3163.91869656600},
2695 { 0.00000000106, 2.63803685685, 1051.51762366300},
2696 { 0.00000000102, 2.04491853976, 4105.98075853500},
2697 { 0.00000000100, 0.94970095252, 835.78789401270},
2698 { 0.00000000117, 4.62934163072, 2332.06295581640},
2699 { 0.00000000101, 3.06953613114, 411.62033734900},
2700 { 0.00000000099, 5.73465398566, 1251.34038462480},
2701 { 0.00000000097, 0.78785936400, 739.05790726950},
2702 { 0.00000000098, 5.27870818864, 395.57870223900},
2703 { 0.00000000097, 1.09461119824, 2324.94940881560},
2704 { 0.00000000095, 1.24118747732, 211.81462272970},
2705 { 0.00000000104, 1.47021057742, 2957.73314812880},
2706 { 0.00000000094, 1.68922220636, 518.64526483070},
2707 { 0.00000000118, 4.22282854428, 2207.62954059540},
2708 { 0.00000000092, 3.41317338100, 3679.38256765900},
2709 { 0.00000000111, 4.66199924249, 2634.22773147140},
2710 { 0.00000000093, 3.01841149764, 3156.80514956520},
2711 { 0.00000000106, 0.35440155109, 543.02428721890},
2712 { 0.00000000090, 0.21699672631, 327.43756992050},
2713 { 0.00000000095, 4.94137031528, 45.24658263860},
2714 { 0.00000000087, 0.64235473812, 214.78356814630},
2715 { 0.00000000111, 0.08892066313, 10206.17199921020},
2716 { 0.00000000115, 4.07375401085, 3686.49611465980},
2717 { 0.00000000084, 2.49438627744, 121.25202148330},
2718 { 0.00000000108, 4.78689047662, 850.01498801430},
2719 { 0.00000000098, 4.83439655178, 3810.92952988080},
2720 { 0.00000000084, 5.63810867849, 3149.69160256440},
2721 { 0.00000000112, 1.14266452718, 1802.37199072180},
2722 { 0.00000000082, 4.77545412312, 3252.78437678300},
2723 { 0.00000000083, 3.73663902299, 207.67002114550},
2724 { 0.00000000082, 2.76806023078, 540.73666535850},
2725 { 0.00000000082, 6.15333814412, 210.37833413120},
2726 { 0.00000000113, 2.14356843768, 2435.15573003500},
2727 { 0.00000000089, 5.86249569421, 2111.65031337760},
2728 { 0.00000000100, 5.06864917409, 864.24208201590},
2729 { 0.00000000080, 6.20664537299, 3590.51688744200},
2730 { 0.00000000089, 5.75815115764, 898.77303279070},
2731 { 0.00000000082, 5.76315175207, 2303.60876781320},
2732 { 0.00000000082, 0.11850539240, 4.66586644600},
2733 { 0.00000000099, 1.45848606541, 4539.69249641180},
2734 { 0.00000000107, 2.75969942717, 4113.09430553580},
2735 { 0.00000000093, 3.44450128400, 849.26422848890},
2736 { 0.00000000080, 5.87232764632, 980.66817835880},
2737 { 0.00000000098, 2.92531705189, 135.33610313300},
2738 { 0.00000000080, 1.95003898969, 4436.59972219320},
2739 { 0.00000000080, 3.17860516663, 320.32402291970},
2740 { 0.00000000078, 5.57840933926, 455.05237887920},
2741 { 0.00000000084, 5.76609235830, 2854.64037391020},
2742 { 0.00000000075, 5.72196904186, 1987.21689815660},
2743 { 0.00000000076, 3.15970573068, 4010.00153131720},
2744 { 0.00000000076, 2.88023671694, 511.53171782990},
2745 { 0.00000000080, 5.74706692909, 831.10498122420},
2746 { 0.00000000079, 1.90014137790, 213.82036029980},
2747 { 0.00000000080, 0.79002014310, 204.70107572890},
2748 { 0.00000000086, 1.59595700348, 173.94221952280},
2749 { 0.00000000074, 4.35316212019, 3583.40334044120},
2750 { 0.00000000078, 1.40832902740, 212.77783057620},
2751 { 0.00000000072, 3.92553125825, 1176.70179840940},
2752 { 0.00000000078, 1.51105649620, 1269.49963188950},
2753 { 0.00000000071, 3.64609589554, 198.32124191100},
2754 };
2755
2756
2757 static const struct ln_vsop saturn_longitude_l3[LONG_L3] = {
2758 { 0.00016038732, 5.73945573267, 7.11354700080},
2759 { 0.00004254737, 4.58877599687, 213.29909543800},
2760 { 0.00001906379, 4.76070843570, 220.41264243880},
2761 { 0.00001464959, 5.91328884284, 206.18554843720},
2762 { 0.00001162062, 5.61974313217, 14.22709400160},
2763 { 0.00001044765, 3.57813061587, 426.59819087600},
2764 { 0.00000236068, 3.85849798708, 433.71173787680},
2765 { 0.00000237009, 5.76820709729, 199.07200143640},
2766 { 0.00000165645, 5.11642167451, 3.18139373770},
2767 { 0.00000131328, 4.74306126145, 227.52618943960},
2768 { 0.00000150882, 2.72695802283, 639.89728631400},
2769 { 0.00000061607, 4.74260728276, 103.09277421860},
2770 { 0.00000063899, 0.08672623762, 419.48464387520},
2771 { 0.00000040405, 5.47280316518, 21.34064100240},
2772 { 0.00000040222, 5.96343977224, 95.97922721780},
2773 { 0.00000038807, 5.83309187434, 110.20632121940},
2774 { 0.00000026949, 3.00877360899, 647.01083331480},
2775 { 0.00000025017, 0.98675576491, 3.93215326310},
2776 { 0.00000032692, 3.14159265359, 0.00000000000},
2777 { 0.00000018051, 1.02181794600, 412.37109687440},
2778 { 0.00000017831, 3.32039911376, 309.27832265580},
2779 { 0.00000015894, 3.89729495217, 440.82528487760},
2780 { 0.00000015768, 5.61263410328, 117.31986822020},
2781 { 0.00000018212, 4.96397771331, 10.29494073850},
2782 { 0.00000018497, 1.92534365710, 853.19638175200},
2783 { 0.00000012927, 1.17950837478, 88.86568021700},
2784 { 0.00000017889, 4.20422746039, 216.48048917570},
2785 { 0.00000011440, 5.57587131751, 11.04570026390},
2786 { 0.00000010554, 5.92710883673, 191.95845443560},
2787 { 0.00000010432, 3.95667199114, 209.36694217490},
2788 { 0.00000008655, 3.39231823414, 302.16477565500},
2789 { 0.00000007523, 4.87915941795, 323.50541665740},
2790 { 0.00000005871, 1.05703393060, 210.11770170030},
2791 { 0.00000005349, 4.63664712061, 234.63973644040},
2792 { 0.00000004986, 0.17277280741, 632.78373931320},
2793 { 0.00000006300, 2.25329355289, 522.57741809380},
2794 { 0.00000003608, 2.30889061812, 515.46387109300},
2795 { 0.00000002933, 2.21148312356, 860.30992875280},
2796 { 0.00000002572, 0.41973213333, 625.67019231240},
2797 { 0.00000002479, 4.94903388247, 224.34479570190},
2798 { 0.00000002175, 3.16635787015, 202.25339517410},
2799 { 0.00000002368, 4.75945968289, 330.61896365820},
2800 { 0.00000002705, 0.65007424536, 529.69096509460},
2801 { 0.00000001981, 4.38259974938, 124.43341522100},
2802 { 0.00000002151, 1.35777052319, 405.25754987360},
2803 { 0.00000002050, 1.03766221834, 728.76296653100},
2804 { 0.00000002129, 3.34889649076, 429.77958461370},
2805 { 0.00000001804, 3.08896387579, 654.12438031560},
2806 { 0.00000001794, 3.09524789608, 422.66603761290},
2807 { 0.00000001767, 4.12428069333, 536.80451209540},
2808 { 0.00000002036, 4.14778460181, 223.59403617650},
2809 { 0.00000001522, 0.30568508593, 316.39186965660},
2810 { 0.00000002003, 1.19811189628, 1066.49547719000},
2811 { 0.00000001824, 5.82606735563, 195.13984817330},
2812 { 0.00000001672, 6.05450203591, 742.99006053260},
2813 { 0.00000001374, 5.00478301043, 956.28915597060},
2814 { 0.00000001330, 3.91860861475, 269.92144674060},
2815 { 0.00000001448, 1.57683663501, 81.75213321620},
2816 { 0.00000001282, 1.64172627600, 63.73589830340},
2817 { 0.00000001530, 2.07185037631, 838.96928775040},
2818 { 0.00000001023, 3.72829174293, 295.05122865420},
2819 { 0.00000001252, 2.40431685132, 217.23124870110},
2820 { 0.00000001325, 1.43168728470, 735.87651353180},
2821 { 0.00000000941, 2.77748068918, 284.14854074220},
2822 { 0.00000000803, 4.71988196699, 56.62235130260},
2823 { 0.00000000948, 2.03116711580, 831.85574074960},
2824 { 0.00000000831, 0.74562303148, 846.08283475120},
2825 { 0.00000000842, 3.33175376920, 18.15924726470},
2826 { 0.00000000824, 0.80001123001, 1045.15483618760},
2827 { 0.00000000857, 2.39067793598, 203.00415469950},
2828 { 0.00000000738, 3.80960374631, 447.93883187840},
2829 { 0.00000000584, 6.25069777652, 942.06206196900},
2830 { 0.00000000538, 2.86495331128, 184.84490743480},
2831 { 0.00000000505, 6.25643434939, 1059.38193018920},
2832 { 0.00000000626, 1.55608850413, 423.41679713830},
2833 { 0.00000000485, 3.46793365763, 149.56319713460},
2834 { 0.00000000484, 4.87301938477, 1272.68102562720},
2835 { 0.00000000433, 2.70775591374, 508.35032409220},
2836 { 0.00000000438, 4.22151675617, 437.64389113990},
2837 { 0.00000000435, 5.39766982546, 408.43894361130},
2838 { 0.00000000352, 0.59786545468, 22.09140052780},
2839 { 0.00000000367, 1.22439337201, 2324.94940881560},
2840 { 0.00000000438, 1.71625572063, 1155.36115740700},
2841 { 0.00000000374, 1.18586297651, 721.64941953020},
2842 { 0.00000000310, 2.42135657973, 127.47179660680},
2843 { 0.00000000309, 0.33610530663, 6076.89030155420},
2844 { 0.00000000309, 1.42279282226, 6062.66320755260},
2845 { 0.00000000305, 5.34819286072, 131.40394986990},
2846 { 0.00000000333, 1.84641267165, 1141.13406340540},
2847 { 0.00000000358, 0.68499202426, 1361.54670584420},
2848 { 0.00000000293, 2.19086882960, 416.30325013750},
2849 { 0.00000000337, 3.29001545070, 750.10360753340},
2850 { 0.00000000293, 2.28323305517, 635.96513305090},
2851 { 0.00000000373, 1.10446940352, 1052.26838318840},
2852 { 0.00000000313, 1.86587122616, 1148.24761040620},
2853 { 0.00000000258, 3.31118509824, 618.55664531160},
2854 { 0.00000000258, 2.56646226279, 415.55249061210},
2855 { 0.00000000252, 1.83229588399, 628.85158605010},
2856 { 0.00000000296, 1.29860021998, 490.33408917940},
2857 { 0.00000000304, 2.58172658788, 362.86229257260},
2858 { 0.00000000293, 4.02595319860, 543.91805909620},
2859 { 0.00000000295, 0.35280179538, 2730.20695868920},
2860 { 0.00000000243, 3.12295878727, 1382.88734684660},
2861 { 0.00000000237, 1.50349467228, 70.84944530420},
2862 { 0.00000000261, 1.55058302472, 1457.52593306200},
2863 { 0.00000000291, 0.88069340340, 2104.53676637680},
2864 { 0.00000000304, 1.86172088151, 824.74219374880},
2865 { 0.00000000289, 1.10556085722, 1788.14489672020},
2866 { 0.00000000257, 1.47442762699, 1073.60902419080},
2867 { 0.00000000236, 2.78922688109, 430.53034413910},
2868 { 0.00000000217, 3.57312838427, 483.22054217860},
2869 { 0.00000000253, 1.52081140336, 1471.75302706360},
2870 { 0.00000000223, 0.29158786156, 2854.64037391020},
2871 { 0.00000000282, 0.18719544473, 99.91138048090},
2872 { 0.00000000206, 1.81343391023, 497.44763618020},
2873 { 0.00000000241, 0.70959972165, 2420.92863603340},
2874 { 0.00000000251, 0.61933213502, 2413.81508903260},
2875 { 0.00000000222, 2.30065576536, 867.42347575360},
2876 { 0.00000000198, 6.11152305398, 1258.45393162560},
2877 { 0.00000000237, 0.41532391633, 1677.93857550080},
2878 { 0.00000000240, 5.33742562346, 231.45834270270},
2879 { 0.00000000244, 0.92932541351, 52.69019803950},
2880 { 0.00000000231, 3.35905530490, 436.89313161450},
2881 { 0.00000000227, 0.43324651601, 2737.32050569000},
2882 { 0.00000000203, 4.11821570036, 337.73251065900},
2883 { 0.00000000207, 0.26876250106, 3046.59882834580},
2884 { 0.00000000215, 3.58355205754, 934.94851496820},
2885 { 0.00000000212, 1.25688162158, 1773.91780271860},
2886 { 0.00000000201, 4.03418221542, 131.54696222180},
2887 { 0.00000000222, 0.38124598378, 1279.79457262800},
2888 { 0.00000000220, 0.95184545950, 1038.04128918680},
2889 { 0.00000000241, 4.63368951189, 1905.46476494040},
2890 { 0.00000000210, 4.19139167658, 2221.85663459700},
2891 { 0.00000000176, 2.94962159722, 74.78159856730},
2892 { 0.00000000211, 5.60391253075, 2943.50605412720},
2893 { 0.00000000181, 0.68460528413, 2001.44399215820},
2894 { 0.00000000185, 0.34812960604, 2317.83586181480},
2895 { 0.00000000160, 1.23508694599, 1596.18644228460},
2896 { 0.00000000175, 4.14605894816, 2090.30967237520},
2897 { 0.00000000152, 0.05796022559, 32.24332891440},
2898 { 0.00000000162, 0.97905647862, 2627.11418447060},
2899 { 0.00000000146, 4.58001707019, 106.27416795630},
2900 { 0.00000000185, 4.74630303607, 319.57326339430},
2901 { 0.00000000152, 3.58854245185, 650.94298657790},
2902 { 0.00000000154, 1.27898590074, 636.71589257630},
2903 { 0.00000000194, 1.21816145647, 2207.62954059540},
2904 { 0.00000000179, 3.37155577752, 2332.06295581640},
2905 { 0.00000000150, 2.52427390338, 643.07868005170},
2906 { 0.00000000147, 6.27122260730, 1994.33044515740},
2907 { 0.00000000166, 0.52445262931, 113.38771495710},
2908 { 0.00000000140, 3.04260087324, 661.23792731640},
2909 { 0.00000000118, 1.12530803349, 215.74677599280},
2910 { 0.00000000117, 0.86867361262, 1574.84580128220},
2911 { 0.00000000108, 4.25077088080, 145.63104387150},
2912 { 0.00000000148, 0.89634027181, 1368.66025284500},
2913 { 0.00000000106, 1.12784071177, 1162.47470440780},
2914 { 0.00000000129, 1.02682913037, 313.21047591890},
2915 { 0.00000000120, 1.01405091659, 2516.90786325120},
2916 { 0.00000000114, 3.30194660143, 757.21715453420},
2917 { 0.00000000124, 4.83905966929, 444.75743814070},
2918 { 0.00000000101, 5.22590586676, 1567.73225428140},
2919 { 0.00000000098, 2.30576007013, 2751.54759969160},
2920 { 0.00000000090, 0.09448012766, 2524.02141025200},
2921 { 0.00000000103, 0.58319919546, 1354.43315884340},
2922 { 0.00000000095, 4.84522108220, 2620.00063746980},
2923 { 0.00000000096, 1.39789423575, 277.03499374140},
2924 { 0.00000000120, 5.05053768078, 2008.55753915900},
2925 { 0.00000000106, 3.69808924883, 2861.75392091100},
2926 { 0.00000000110, 0.16506001444, 1987.21689815660},
2927 { 0.00000000084, 3.94251629849, 156.67674413540},
2928 { 0.00000000085, 0.45004931501, 320.32402291970},
2929 { 0.00000000086, 1.91244115163, 2634.22773147140},
2930 { 0.00000000086, 1.76877765860, 2097.42321937600},
2931 { 0.00000000082, 1.27140666625, 1685.05212250160},
2932 { 0.00000000088, 1.67886685969, 1464.63948006280},
2933 { 0.00000000081, 2.13887651399, 210.85141488320},
2934 { 0.00000000086, 4.55455922748, 241.75328344120},
2935 { 0.00000000087, 1.37882811046, 1781.03134971940},
2936 { 0.00000000094, 4.36001187626, 2641.34127847220},
2937 { 0.00000000080, 0.03222646119, 1670.82502850000},
2938 { 0.00000000080, 5.40919461005, 2744.43405269080},
2939 { 0.00000000090, 2.46737000048, 1802.37199072180},
2940 { 0.00000000086, 2.21461093242, 3156.80514956520},
2941 { 0.00000000088, 0.60411748611, 703.63318461740},
2942 { 0.00000000074, 3.72977862703, 1485.98012106520},
2943 { 0.00000000084, 0.14427542567, 1884.12412393800},
2944 { 0.00000000090, 5.82096787757, 2531.13495725280},
2945 { 0.00000000085, 2.00389715339, 1699.27921650320},
2946 { 0.00000000091, 0.69169111465, 1286.90811962880},
2947 { 0.00000000075, 3.89924996086, 3370.10424500320},
2948 { 0.00000000084, 1.84802318288, 398.14400287280},
2949 { 0.00000000076, 3.33883739305, 195.89060769870},
2950 };
2951
2952
2953 static const struct ln_vsop saturn_longitude_l4[LONG_L4] = {
2954 { 0.00001661877, 3.99824447634, 7.11354700080},
2955 { 0.00000257094, 2.98422287887, 220.41264243880},
2956 { 0.00000236328, 3.90248844320, 14.22709400160},
2957 { 0.00000149520, 2.73191135434, 213.29909543800},
2958 { 0.00000109412, 1.51564560686, 206.18554843720},
2959 { 0.00000069119, 1.74804093636, 426.59819087600},
2960 { 0.00000037680, 1.23800346661, 199.07200143640},
2961 { 0.00000039678, 2.04527339062, 433.71173787680},
2962 { 0.00000031172, 3.01055217526, 227.52618943960},
2963 { 0.00000015026, 0.83249780616, 639.89728631400},
2964 { 0.00000009424, 3.71267465225, 21.34064100240},
2965 { 0.00000005131, 2.14278851183, 419.48464387520},
2966 { 0.00000004379, 1.44314873951, 95.97922721780},
2967 { 0.00000005391, 1.15849076251, 647.01083331480},
2968 { 0.00000004315, 2.11844568875, 440.82528487760},
2969 { 0.00000003215, 4.10085180982, 110.20632121940},
2970 { 0.00000002866, 3.03604951200, 88.86568021700},
2971 { 0.00000002825, 2.76965112625, 412.37109687440},
2972 { 0.00000002584, 6.28047035280, 853.19638175200},
2973 { 0.00000002616, 0.38576038218, 103.09277421860},
2974 { 0.00000001872, 5.13517095425, 309.27832265580},
2975 { 0.00000002210, 3.77003162591, 117.31986822020},
2976 { 0.00000001772, 5.18511152518, 302.16477565500},
2977 { 0.00000001832, 2.84292047890, 234.63973644040},
2978 { 0.00000001759, 2.26487572601, 216.48048917570},
2979 { 0.00000001193, 1.54874757981, 191.95845443560},
2980 { 0.00000000765, 4.76897987642, 210.11770170030},
2981 { 0.00000000644, 4.21681516017, 515.46387109300},
2982 { 0.00000000619, 4.04856580980, 522.57741809380},
2983 { 0.00000000619, 2.37595244026, 209.36694217490},
2984 { 0.00000000611, 3.14631600944, 323.50541665740},
2985 { 0.00000000560, 2.17190605203, 124.43341522100},
2986 { 0.00000000519, 3.20539990880, 405.25754987360},
2987 { 0.00000000443, 0.25912890713, 860.30992875280},
2988 { 0.00000000412, 3.12214166924, 330.61896365820},
2989 { 0.00000000431, 3.39648180302, 81.75213321620},
2990 { 0.00000000329, 4.10003432838, 838.96928775040},
2991 { 0.00000000374, 1.28466223056, 654.12438031560},
2992 { 0.00000000314, 3.24026230608, 529.69096509460},
2993 { 0.00000000291, 2.33783778160, 447.93883187840},
2994 { 0.00000000292, 5.48631134223, 1066.49547719000},
2995 { 0.00000000291, 3.18885372262, 1464.63948006280},
2996 { 0.00000000304, 1.25087313988, 742.99006053260},
2997 { 0.00000000270, 2.18054322187, 632.78373931320},
2998 { 0.00000000298, 2.38540238363, 625.67019231240},
2999 { 0.00000000257, 4.47876331608, 1574.84580128220},
3000 { 0.00000000297, 2.58634568787, 1045.15483618760},
3001 { 0.00000000314, 2.94878103629, 728.76296653100},
3002 { 0.00000000235, 3.67049647573, 1148.24761040620},
3003 { 0.00000000283, 4.56828102737, 423.41679713830},
3004 { 0.00000000221, 3.04602691755, 1781.03134971940},
3005 { 0.00000000236, 3.61825037624, 231.45834270270},
3006 { 0.00000000261, 2.04564143517, 1677.93857550080},
3007 { 0.00000000214, 3.55618873096, 1155.36115740700},
3008 { 0.00000000207, 2.09726651480, 1361.54670584420},
3009 { 0.00000000252, 0.00000000000, 0.00000000000},
3010 { 0.00000000175, 1.27230112159, 422.66603761290},
3011 { 0.00000000190, 2.32718555488, 223.59403617650},
3012 { 0.00000000187, 3.64109764967, 956.28915597060},
3013 { 0.00000000168, 0.69946458053, 824.74219374880},
3014 { 0.00000000177, 5.02653087687, 203.00415469950},
3015 { 0.00000000164, 1.44690006365, 429.77958461370},
3016 { 0.00000000159, 2.80925293490, 1589.07289528380},
3017 { 0.00000000152, 3.88114824142, 831.85574074960},
3018 { 0.00000000129, 4.99346550473, 618.55664531160},
3019 { 0.00000000143, 1.03749104574, 316.39186965660},
3020 { 0.00000000129, 2.77308987628, 1169.58825140860},
3021 { 0.00000000114, 2.00739159822, 295.05122865420},
3022 { 0.00000000109, 1.39540359862, 1354.43315884340},
3023 { 0.00000000109, 6.07865735607, 2001.44399215820},
3024 { 0.00000000123, 2.06227563721, 942.06206196900},
3025 { 0.00000000104, 4.41203428092, 1279.79457262800},
3026 { 0.00000000125, 5.80362410627, 1073.60902419080},
3027 { 0.00000000107, 3.34391463430, 735.87651353180},
3028 { 0.00000000102, 0.61258147793, 1788.14489672020},
3029 { 0.00000000130, 2.23864282613, 536.80451209540},
3030 { 0.00000000095, 2.58259079168, 846.08283475120},
3031 { 0.00000000096, 2.93096385623, 224.34479570190},
3032 { 0.00000000103, 4.92943720757, 508.35032409220},
3033 { 0.00000000090, 6.21432772004, 1265.56747862640},
3034 { 0.00000000083, 1.57021339944, 1038.04128918680},
3035 { 0.00000000094, 2.75644931636, 721.64941953020},
3036 { 0.00000000105, 0.46132848902, 867.42347575360},
3037 { 0.00000000078, 4.50314394179, 2015.67108615980},
3038 { 0.00000000088, 4.99305633625, 444.00667861530},
3039 };
3040
3041
3042 static const struct ln_vsop saturn_longitude_l5[LONG_L5] = {
3043 { 0.00000123607, 2.25923420203, 7.11354700080},
3044 { 0.00000034176, 2.16278773143, 14.22709400160},
3045 { 0.00000027539, 1.19822164604, 220.41264243880},
3046 { 0.00000005763, 1.21171444884, 227.52618943960},
3047 { 0.00000005284, 0.23520891295, 433.71173787680},
3048 { 0.00000003650, 6.20014021207, 426.59819087600},
3049 { 0.00000003061, 2.96839870592, 199.07200143640},
3050 { 0.00000002865, 4.29470838129, 206.18554843720},
3051 { 0.00000001499, 6.21044685389, 213.29909543800},
3052 { 0.00000001262, 5.25209851911, 639.89728631400},
3053 { 0.00000000756, 6.17670364645, 191.95845443560},
3054 { 0.00000000759, 0.69127092329, 302.16477565500},
3055 { 0.00000000820, 5.59433772118, 647.01083331480},
3056 { 0.00000000942, 0.24584020543, 440.82528487760},
3057 { 0.00000000547, 4.87451203466, 88.86568021700},
3058 { 0.00000000503, 4.63319665449, 419.48464387520},
3059 { 0.00000000357, 4.73247835262, 860.30992875280},
3060 { 0.00000000343, 5.70825898673, 654.12438031560},
3061 { 0.00000000243, 2.03429529667, 323.50541665740},
3062 { 0.00000000305, 1.06249794404, 234.63973644040},
3063 { 0.00000000231, 4.36065387404, 853.19638175200},
3064 { 0.00000000232, 0.84968053738, 309.27832265580},
3065 { 0.00000000239, 0.65475141729, 117.31986822020},
3066 { 0.00000000167, 5.24062073200, 405.25754987360},
3067 { 0.00000000165, 2.41456551560, 515.46387109300},
3068 { 0.00000000155, 1.75303344154, 412.37109687440},
3069 { 0.00000000118, 4.41706591175, 632.78373931320},
3070 { 0.00000000093, 5.50595405458, 95.97922721780},
3071 { 0.00000000109, 0.34156541412, 447.93883187840},
3072 { 0.00000000076, 1.01712437818, 522.57741809380},
3073 };
3074
3075
3076 static const struct ln_vsop saturn_latitude_b0[LAT_B0] = {
3077 { 0.04330678039, 3.60284428399, 213.29909543800},
3078 { 0.00240348302, 2.85238489373, 426.59819087600},
3079 { 0.00084745939, 0.00000000000, 0.00000000000},
3080 { 0.00030863357, 3.48441504555, 220.41264243880},
3081 { 0.00034116062, 0.57297307557, 206.18554843720},
3082 { 0.00014734070, 2.11846596715, 639.89728631400},
3083 { 0.00009916667, 5.79003188904, 419.48464387520},
3084 { 0.00006993564, 4.73604689720, 7.11354700080},
3085 { 0.00004807588, 5.43305312061, 316.39186965660},
3086 { 0.00004788392, 4.96512926584, 110.20632121940},
3087 { 0.00003432125, 2.73255746600, 433.71173787680},
3088 { 0.00001506129, 6.01304519391, 103.09277421860},
3089 { 0.00001060298, 5.63099296460, 529.69096509460},
3090 { 0.00000969071, 5.20434966293, 632.78373931320},
3091 { 0.00000942050, 1.39646688872, 853.19638175200},
3092 { 0.00000707645, 3.80302289005, 323.50541665740},
3093 { 0.00000552314, 5.13149119536, 202.25339517410},
3094 { 0.00000399674, 3.35891409671, 227.52618943960},
3095 { 0.00000316063, 1.99716693551, 647.01083331480},
3096 { 0.00000319380, 3.62571687438, 209.36694217490},
3097 { 0.00000284495, 4.88648507126, 224.34479570190},
3098 { 0.00000314224, 0.46510248959, 217.23124870110},
3099 { 0.00000236441, 2.13887684631, 11.04570026390},
3100 { 0.00000215354, 5.94982561020, 846.08283475120},
3101 { 0.00000208523, 2.12003937634, 415.55249061210},
3102 { 0.00000178958, 2.95361337281, 63.73589830340},
3103 { 0.00000207214, 0.73021353207, 199.07200143640},
3104 { 0.00000139140, 1.99821987827, 735.87651353180},
3105 { 0.00000134884, 5.24501026174, 742.99006053260},
3106 { 0.00000140585, 0.64417933116, 490.33408917940},
3107 { 0.00000121669, 3.11537142395, 522.57741809380},
3108 { 0.00000139240, 4.59535592976, 14.22709400160},
3109 { 0.00000115525, 3.10892020920, 216.48048917570},
3110 { 0.00000114218, 0.96262037933, 210.11770170030},
3111 { 0.00000096377, 4.48164269503, 117.31986822020},
3112 { 0.00000080594, 1.31693242934, 277.03499374140},
3113 { 0.00000072953, 3.05987977572, 536.80451209540},
3114 { 0.00000069261, 4.92378376874, 309.27832265580},
3115 { 0.00000074302, 2.89377583784, 149.56319713460},
3116 { 0.00000068041, 2.18001288710, 351.81659230870},
3117 { 0.00000061733, 0.67727575242, 1066.49547719000},
3118 { 0.00000056598, 2.60962477110, 440.82528487760},
3119 { 0.00000048864, 5.78725829726, 95.97922721780},
3120 { 0.00000048242, 2.18211814462, 74.78159856730},
3121 { 0.00000038304, 5.29151507162, 1059.38193018920},
3122 { 0.00000036322, 1.63347180455, 628.85158605010},
3123 { 0.00000035055, 1.71278162034, 1052.26838318840},
3124 { 0.00000034270, 2.45739879861, 422.66603761290},
3125 { 0.00000034314, 5.97994688275, 412.37109687440},
3126 { 0.00000033788, 1.14074435448, 949.17560896980},
3127 { 0.00000031633, 4.14722028612, 437.64389113990},
3128 { 0.00000036834, 6.27770255515, 1162.47470440780},
3129 { 0.00000026984, 1.27148410951, 860.30992875280},
3130 { 0.00000023516, 2.74935309134, 838.96928775040},
3131 { 0.00000023459, 0.98962524752, 210.85141488320},
3132 { 0.00000023599, 4.11386769857, 3.93215326310},
3133 { 0.00000023631, 3.07427178660, 215.74677599280},
3134 { 0.00000020813, 3.51085178074, 330.61896365820},
3135 { 0.00000019509, 2.81860617670, 127.47179660680},
3136 { 0.00000017103, 3.89783901305, 214.26230328450},
3137 { 0.00000017635, 6.19717997355, 703.63318461740},
3138 { 0.00000017824, 2.28523987140, 388.46515523820},
3139 { 0.00000020934, 0.14356449654, 430.53034413910},
3140 { 0.00000016551, 1.66649361181, 38.13303563780},
3141 { 0.00000019099, 2.97700224420, 137.03302416240},
3142 { 0.00000015517, 4.54795623900, 956.28915597060},
3143 { 0.00000017065, 0.16611037368, 212.33588759150},
3144 { 0.00000014169, 0.48937272443, 213.34727954780},
3145 { 0.00000019027, 6.27326596357, 423.41679713830},
3146 { 0.00000013345, 2.37139629634, 429.77958461370},
3147 { 0.00000012565, 1.03177371258, 563.63121503840},
3148 { 0.00000014173, 3.57477472425, 213.25091132820},
3149 { 0.00000011374, 1.45298798816, 1368.66025284500},
3150 { 0.00000010584, 6.17636945166, 200.76892246580},
3151 { 0.00000010600, 3.84356693852, 138.51749687070},
3152 { 0.00000010263, 2.17427018729, 76.26607127560},
3153 { 0.00000010072, 1.33201729128, 565.11568774670},
3154 { 0.00000012058, 0.44148218737, 222.86032299360},
3155 { 0.00000010368, 1.85281517515, 350.33211960040},
3156 { 0.00000008706, 2.58147597130, 1155.36115740700},
3157 { 0.00000008470, 1.97888106159, 625.67019231240},
3158 { 0.00000008518, 4.51648111567, 3.18139373770},
3159 { 0.00000007439, 4.92600810037, 212.77783057620},
3160 { 0.00000007409, 2.03508355026, 288.08069400530},
3161 { 0.00000008137, 3.98505041656, 85.82729883120},
3162 { 0.00000007985, 2.20797256457, 362.86229257260},
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3471 { 0.00000000163, 3.50597489635, 1382.88734684660},
3472 { 0.00000000159, 0.13374057204, 431.26405732200},
3473 { 0.00000000158, 5.92245215131, 96.87299909510},
3474 { 0.00000000178, 4.55357947656, 46.47042291600},
3475 { 0.00000000157, 1.36083501113, 51.20572533120},
3476 { 0.00000000155, 6.23981289223, 464.73122651380},
3477 { 0.00000000155, 6.02665412124, 1286.90811962880},
3478 { 0.00000000175, 4.95229737861, 1905.46476494040},
3479 { 0.00000000155, 1.36669731999, 206.93630796260},
3480 { 0.00000000153, 6.05959444754, 561.18353448360},
3481 { 0.00000000209, 4.50587176454, 24.37902238820},
3482 { 0.00000000185, 5.49830792597, 205.66428357540},
3483 { 0.00000000160, 4.18196878857, 3340.61242669980},
3484 { 0.00000000160, 2.85370771355, 209.15449385380},
3485 { 0.00000000161, 4.98116500495, 2648.45482547300},
3486 { 0.00000000152, 0.85402744302, 570.74476203920},
3487 { 0.00000000156, 2.03601440129, 217.44369702220},
3488 { 0.00000000199, 3.54516172322, 533.62311835770},
3489 { 0.00000000192, 3.98017256784, 212.40532356070},
3490 { 0.00000000192, 0.90945359875, 214.19286731530},
3491 { 0.00000000160, 2.51655480826, 3127.31333126180},
3492 { 0.00000000145, 0.93224513634, 1994.33044515740},
3493 { 0.00000000141, 5.66792977216, 120.35824960600},
3494 { 0.00000000141, 3.89020113314, 454.90936652730},
3495 { 0.00000000152, 1.01334637716, 2840.41327990860},
3496 { 0.00000000172, 4.15291117436, 2.96894541660},
3497 { 0.00000000146, 5.26793940136, 7.06536289100},
3498 { 0.00000000177, 0.43379056817, 140.00196957900},
3499 { 0.00000000144, 3.95680110529, 300.61086697750},
3500 { 0.00000000152, 4.29519544232, 555.55446019110},
3501 { 0.00000000143, 4.15384555539, 31.01948863700},
3502 { 0.00000000139, 0.79816062945, 166.82867252200},
3503 { 0.00000000138, 4.20351932278, 731.94436026870},
3504 { 0.00000000135, 1.27076215169, 92.94084583200},
3505 { 0.00000000165, 1.95234114570, 107.02492748170},
3506 { 0.00000000153, 3.07459476684, 3480.31056622260},
3507 { 0.00000000125, 3.41715448905, 1802.37199072180},
3508 { 0.00000000128, 5.83871918040, 2324.94940881560},
3509 { 0.00000000129, 2.76004244710, 480.77286162380},
3510 { 0.00000000122, 4.75255632197, 2854.64037391020},
3511 { 0.00000000129, 4.67728640900, 913.96333463880},
3512 { 0.00000000146, 3.71120275400, 546.95644048200},
3513 { 0.00000000121, 1.19996163830, 572.22923474750},
3514 { 0.00000000119, 4.58843728974, 339.28641933650},
3515 { 0.00000000127, 6.19604979468, 59.80374504030},
3516 { 0.00000000123, 5.98410087513, 477.80391620720},
3517 { 0.00000000122, 5.83022118428, 990.22940591440},
3518 { 0.00000000151, 2.39461871323, 2524.02141025200},
3519 { 0.00000000147, 4.98185357367, 850.01498801430},
3520 { 0.00000000127, 0.47350572564, 6.59228213900},
3521 { 0.00000000116, 4.71520095067, 1130.23137549340},
3522 { 0.00000000129, 5.42390176195, 2538.24850425360},
3523 { 0.00000000111, 4.51407828148, 1699.27921650320},
3524 { 0.00000000112, 4.14868763908, 422.40540518200},
3525 { 0.00000000114, 2.06498377101, 952.09637027660},
3526 { 0.00000000111, 5.53282324077, 857.12853501510},
3527 { 0.00000000109, 3.00010064569, 420.44785172170},
3528 { 0.00000000112, 2.20703498575, 395.57870223900},
3529 { 0.00000000147, 1.52595534648, 552.58551477450},
3530 { 0.00000000117, 5.47540280598, 2957.73314812880},
3531 { 0.00000000112, 2.57013750439, 462.02291352810},
3532 { 0.00000000122, 4.96297462820, 638.93407846750},
3533 { 0.00000000104, 1.91100566417, 472.17484191470},
3534 { 0.00000000116, 2.82952794316, 450.97721326420},
3535 { 0.00000000115, 2.25851835662, 1781.03134971940},
3536 { 0.00000000110, 4.86686492403, 2914.01423582380},
3537 { 0.00000000109, 4.43985900785, 405.99126305650},
3538 { 0.00000000102, 5.90339898565, 99.91138048090},
3539 { 0.00000000101, 2.53384198507, 640.86049416050},
3540 { 0.00000000099, 5.92243081537, 411.62033734900},
3541 { 0.00000000112, 5.53973044575, 381.35160823740},
3542 { 0.00000000100, 5.21941099435, 426.48631629140},
3543 { 0.00000000137, 2.20274006149, 7.16173111060},
3544 { 0.00000000098, 1.28529782746, 2847.52682690940},
3545 { 0.00000000116, 5.23339044745, 1119.18567522950},
3546 { 0.00000000095, 4.26064274880, 540.73666535850},
3547 { 0.00000000098, 5.27111748177, 639.94547042380},
3548 { 0.00000000107, 4.38928414646, 412.58354519550},
3549 { 0.00000000093, 5.35804852851, 334.55111692130},
3550 { 0.00000000094, 1.16752767262, 5643.17856367740},
3551 { 0.00000000106, 4.19024947696, 486.40193591630},
3552 { 0.00000000096, 0.59550056424, 714.67888488130},
3553 { 0.00000000094, 0.54288367991, 423.62924545940},
3554 { 0.00000000110, 2.82868370028, 468.24268865160},
3555 { 0.00000000083, 6.12463094765, 380.12776796000},
3556 { 0.00000000084, 2.20225020879, 909.81873305460},
3557 { 0.00000000105, 2.66527620584, 460.53844081980},
3558 { 0.00000000085, 5.20920130922, 562.14674233010},
3559 { 0.00000000084, 0.14539857176, 681.54178408960},
3560 { 0.00000000080, 3.03593152930, 409.92341631960},
3561 { 0.00000000096, 5.09479638103, 92.04707395470},
3562 { 0.00000000110, 2.03631813918, 642.34496686880},
3563 { 0.00000000080, 5.71278977344, 361.37781986430},
3564 { 0.00000000084, 3.00961145051, 426.81063919710},
3565 { 0.00000000085, 4.28770375675, 135.54855145410},
3566 { 0.00000000092, 5.33175140498, 432.01481684740},
3567 { 0.00000000084, 5.83905303666, 426.38574255490},
3568 { 0.00000000086, 1.51279442193, 760.25553592000},
3569 { 0.00000000100, 3.62925349282, 426.71006546060},
3570 { 0.00000000098, 2.07358165085, 639.84910220420},
3571 { 0.00000000093, 4.30269200820, 3377.21779200400},
3572 { 0.00000000075, 2.89079162661, 806.72595883600},
3573 { 0.00000000072, 4.85280339422, 392.65794093220},
3574 { 0.00000000080, 4.11844342601, 774.48262992160},
3575 { 0.00000000080, 0.88340921666, 856.37777548970},
3576 { 0.00000000083, 0.11455345099, 402.21916848780},
3577 };
3578
3579
3580 static const struct ln_vsop saturn_latitude_b1[LAT_B1] = {
3581 { 0.00198927992, 4.93901017903, 213.29909543800},
3582 { 0.00036947916, 3.14159265359, 0.00000000000},
3583 { 0.00017966989, 0.51979431110, 426.59819087600},
3584 { 0.00010919721, 1.79463271368, 220.41264243880},
3585 { 0.00013320265, 2.26481519893, 206.18554843720},
3586 { 0.00003243428, 1.21094033148, 419.48464387520},
3587 { 0.00002900519, 6.17033461979, 639.89728631400},
3588 { 0.00001584712, 0.93416397130, 433.71173787680},
3589 { 0.00001580666, 3.08171717435, 7.11354700080},
3590 { 0.00000700659, 0.20545152078, 316.39186965660},
3591 { 0.00000310902, 4.38351712708, 110.20632121940},
3592 { 0.00000301237, 1.66219956459, 227.52618943960},
3593 { 0.00000303761, 5.46322830151, 853.19638175200},
3594 { 0.00000259878, 3.93026240568, 103.09277421860},
3595 { 0.00000252673, 0.90020925210, 632.78373931320},
3596 { 0.00000182664, 0.12142438148, 647.01083331480},
3597 { 0.00000157532, 2.42607457234, 199.07200143640},
3598 { 0.00000108184, 1.39896246207, 529.69096509460},
3599 { 0.00000088301, 2.17503185037, 323.50541665740},
3600 { 0.00000086875, 2.91365320786, 14.22709400160},
3601 { 0.00000093226, 2.44314958040, 217.23124870110},
3602 { 0.00000076217, 2.73666477702, 210.11770170030},
3603 { 0.00000067406, 1.49053395808, 209.36694217490},
3604 { 0.00000069585, 1.31682001912, 216.48048917570},
3605 { 0.00000053865, 1.74961587267, 202.25339517410},
3606 { 0.00000048657, 0.85586786255, 440.82528487760},
3607 { 0.00000038289, 2.90107344056, 117.31986822020},
3608 { 0.00000030566, 1.28845522495, 412.37109687440},
3609 { 0.00000027841, 4.74764197119, 1066.49547719000},
3610 { 0.00000032708, 2.21818450520, 224.34479570190},
3611 { 0.00000018822, 5.62219514688, 860.30992875280},
3612 { 0.00000019503, 0.67017561839, 846.08283475120},
3613 { 0.00000016933, 1.19325749663, 536.80451209540},
3614 { 0.00000016367, 1.21661206395, 95.97922721780},
3615 { 0.00000018612, 1.22520531243, 309.27832265580},
3616 { 0.00000013682, 4.73321416332, 522.57741809380},
3617 { 0.00000015156, 4.69967052480, 11.04570026390},
3618 { 0.00000011499, 4.14138196473, 415.55249061210},
3619 { 0.00000012837, 2.81845968681, 742.99006053260},
3620 { 0.00000013649, 0.41098020093, 422.66603761290},
3621 { 0.00000010540, 1.81501295981, 330.61896365820},
3622 { 0.00000010912, 1.85613282527, 423.41679713830},
3623 { 0.00000009472, 1.51137573235, 63.73589830340},
3624 { 0.00000008741, 3.12101135745, 625.67019231240},
3625 { 0.00000009441, 0.52002672064, 429.77958461370},
3626 { 0.00000008971, 3.23483186571, 277.03499374140},
3627 { 0.00000007026, 2.45348926519, 430.53034413910},
3628 { 0.00000007163, 4.60387223265, 215.74677599280},
3629 { 0.00000006468, 2.17426030779, 490.33408917940},
3630 { 0.00000006287, 1.51913918673, 234.63973644040},
3631 { 0.00000006166, 0.07222081964, 654.12438031560},
3632 { 0.00000006137, 0.42127140031, 149.56319713460},
3633 { 0.00000007021, 1.75650013390, 437.64389113990},
3634 { 0.00000005019, 5.76559473909, 210.85141488320},
3635 { 0.00000004119, 2.71283218857, 3.18139373770},
3636 { 0.00000003872, 2.99849704980, 949.17560896980},
3637 { 0.00000003675, 5.11600747801, 3.93215326310},
3638 { 0.00000003776, 2.46233837693, 1059.38193018920},
3639 { 0.00000003317, 4.69110070363, 628.85158605010},
3640 { 0.00000003682, 1.19319192495, 223.59403617650},
3641 { 0.00000002680, 3.45355844691, 351.81659230870},
3642 { 0.00000002571, 3.96363456369, 1162.47470440780},
3643 { 0.00000002995, 5.02864811906, 515.46387109300},
3644 { 0.00000003293, 2.33138968543, 956.28915597060},
3645 { 0.00000002415, 2.75650699799, 21.34064100240},
3646 { 0.00000002425, 4.06403215903, 1279.79457262800},
3647 { 0.00000002265, 5.12930941938, 735.87651353180},
3648 { 0.00000002062, 2.91053926178, 203.00415469950},
3649 { 0.00000001990, 5.59520905528, 203.73786788240},
3650 { 0.00000002031, 0.36328856534, 750.10360753340},
3651 { 0.00000001928, 0.86086932932, 408.43894361130},
3652 { 0.00000001903, 1.60746671833, 124.43341522100},
3653 { 0.00000001744, 1.16412193121, 88.86568021700},
3654 { 0.00000001824, 4.86628565112, 1073.60902419080},
3655 { 0.00000002258, 1.66916684346, 138.51749687070},
3656 { 0.00000001563, 6.18545235125, 362.86229257260},
3657 { 0.00000001572, 1.84255832998, 137.03302416240},
3658 { 0.00000001433, 5.47301146569, 217.96496188400},
3659 { 0.00000001593, 0.97421002648, 543.91805909620},
3660 { 0.00000001897, 5.87304157924, 635.96513305090},
3661 { 0.00000001414, 4.02297218519, 728.76296653100},
3662 { 0.00000001386, 2.89672561287, 231.45834270270},
3663 { 0.00000001410, 0.01654408493, 1052.26838318840},
3664 { 0.00000001478, 5.55770825875, 483.22054217860},
3665 { 0.00000001722, 3.44514721962, 838.96928775040},
3666 { 0.00000001218, 3.76245757391, 1478.86657406440},
3667 { 0.00000001219, 2.99492994498, 74.78159856730},
3668 { 0.00000001395, 2.44044866819, 340.77089204480},
3669 { 0.00000001502, 0.37510741765, 127.47179660680},
3670 { 0.00000001391, 3.76629584219, 703.63318461740},
3671 { 0.00000001390, 3.97218003624, 195.13984817330},
3672 { 0.00000001438, 4.85759262158, 208.63322899200},
3673 { 0.00000001148, 0.73433808719, 447.93883187840},
3674 { 0.00000001439, 3.72246499569, 350.33211960040},
3675 { 0.00000001070, 1.49161749546, 218.71572140940},
3676 { 0.00000000972, 1.32032644773, 210.37833413120},
3677 { 0.00000000933, 5.03088016698, 497.44763618020},
3678 { 0.00000001120, 6.03447039073, 191.20769491020},
3679 { 0.00000001012, 2.47272744720, 200.76892246580},
3680 { 0.00000000904, 5.29750627971, 207.67002114550},
3681 { 0.00000000917, 1.38330137048, 636.71589257630},
3682 { 0.00000000888, 2.70253210128, 554.06998748280},
3683 { 0.00000000877, 4.73964021792, 424.15051032120},
3684 { 0.00000000869, 4.30586222071, 222.86032299360},
3685 { 0.00000000972, 1.21745387645, 650.94298657790},
3686 { 0.00000000795, 5.25157958165, 214.26230328450},
3687 { 0.00000001057, 6.01807983373, 643.07868005170},
3688 { 0.00000000815, 2.85642232089, 191.95845443560},
3689 { 0.00000001064, 0.66975646323, 85.82729883120},
3690 { 0.00000000790, 6.10916408265, 265.98929347750},
3691 { 0.00000000762, 3.00363704123, 38.13303563780},
3692 { 0.00000000789, 3.01319859815, 1375.77379984580},
3693 { 0.00000000825, 6.27068316984, 76.26607127560},
3694 { 0.00000000744, 3.54889644845, 388.46515523820},
3695 { 0.00000000747, 2.45543129686, 10.29494073850},
3696 { 0.00000000794, 1.51719014468, 212.33588759150},
3697 { 0.00000000818, 2.37164551834, 1272.68102562720},
3698 { 0.00000000706, 3.57651408795, 18.15924726470},
3699 { 0.00000000802, 1.43897948799, 1169.58825140860},
3700 { 0.00000000805, 2.38534169381, 207.88246946660},
3701 { 0.00000000692, 5.66062877642, 867.42347575360},
3702 { 0.00000000734, 5.32576293330, 565.11568774670},
3703 { 0.00000000679, 5.84446735833, 288.08069400530},
3704 { 0.00000000671, 4.72924743617, 842.15068148810},
3705 { 0.00000000631, 0.75007555324, 142.44965013380},
3706 { 0.00000000666, 6.00233055509, 1368.66025284500},
3707 { 0.00000000663, 1.84236582113, 213.34727954780},
3708 { 0.00000000613, 3.17262568619, 1265.56747862640},
3709 { 0.00000000573, 0.33317816431, 621.73803904930},
3710 { 0.00000000664, 4.72617875679, 831.85574074960},
3711 { 0.00000000611, 2.56279664042, 160.60889739850},
3712 { 0.00000000566, 0.22986063298, 302.16477565500},
3713 { 0.00000000625, 6.10561287765, 209.10630974400},
3714 { 0.00000000675, 0.88783155497, 417.03696332040},
3715 { 0.00000000550, 4.21628927155, 1155.36115740700},
3716 { 0.00000000661, 0.03876588911, 269.92144674060},
3717 { 0.00000000627, 5.21555085323, 942.06206196900},
3718 { 0.00000000606, 4.97367692956, 218.92816973050},
3719 { 0.00000000662, 4.92733502195, 213.25091132820},
3720 { 0.00000000489, 3.49259680997, 1795.25844372100},
3721 { 0.00000000522, 1.52842269561, 479.28838891550},
3722 { 0.00000000600, 4.26053473889, 52.69019803950},
3723 { 0.00000000589, 1.25789673267, 225.82926841020},
3724 { 0.00000000535, 0.62683535518, 436.89313161450},
3725 { 0.00000000534, 1.15876642524, 337.73251065900},
3726 { 0.00000000629, 2.68309212494, 216.21985674480},
3727 { 0.00000000439, 4.59511724407, 235.39049596580},
3728 { 0.00000000427, 2.10428034280, 416.30325013750},
3729 { 0.00000000546, 2.37009249380, 643.82943957710},
3730 { 0.00000000421, 2.66620995581, 404.50679034820},
3731 { 0.00000000420, 1.52849987998, 56.62235130260},
3732 { 0.00000000397, 3.53071543409, 1045.15483618760},
3733 { 0.00000000470, 1.08983824027, 344.70304530790},
3734 { 0.00000000465, 4.40789299623, 429.04587143080},
3735 { 0.00000000359, 4.43392625322, 219.44943459230},
3736 { 0.00000000388, 0.65988376162, 358.93013930950},
3737 { 0.00000000372, 0.84093856644, 22.09140052780},
3738 { 0.00000000350, 6.28201928387, 212.77783057620},
3739 { 0.00000000355, 2.58258544797, 563.63121503840},
3740 { 0.00000000335, 0.93473132492, 1485.98012106520},
3741 { 0.00000000364, 1.16006460025, 70.84944530420},
3742 { 0.00000000349, 0.48985168153, 213.82036029980},
3743 { 0.00000000302, 4.21736561965, 284.14854074220},
3744 { 0.00000000305, 6.11901036200, 1.48447270830},
3745 { 0.00000000305, 2.23436929835, 444.75743814070},
3746 { 0.00000000320, 4.77954182227, 212.54833591260},
3747 { 0.00000000292, 0.77360901796, 757.21715453420},
3748 { 0.00000000303, 2.64780088849, 113.38771495710},
3749 { 0.00000000290, 3.95615953692, 1471.75302706360},
3750 { 0.00000000290, 3.79526794850, 12.53017297220},
3751 { 0.00000000264, 6.03067553053, 934.94851496820},
3752 { 0.00000000258, 2.98397544655, 106.27416795630},
3753 { 0.00000000273, 5.03143616470, 251.43213107580},
3754 { 0.00000000316, 5.06312049223, 1258.45393162560},
3755 { 0.00000000262, 3.22202079840, 916.93228005540},
3756 { 0.00000000252, 5.71472218120, 1685.05212250160},
3757 { 0.00000000231, 3.07386470105, 1361.54670584420},
3758 { 0.00000000263, 5.94315698498, 618.55664531160},
3759 { 0.00000000267, 4.48240400758, 1148.24761040620},
3760 { 0.00000000268, 0.02885423751, 207.14875628370},
3761 { 0.00000000304, 3.82756071659, 217.49188113200},
3762 { 0.00000000217, 2.97086411233, 1692.16566950240},
3763 { 0.00000000235, 4.69585016895, 696.51963761660},
3764 { 0.00000000213, 1.00568423000, 114.39910691340},
3765 { 0.00000000217, 5.15304621208, 220.46082654860},
3766 { 0.00000000269, 4.96401915824, 1574.84580128220},
3767 { 0.00000000235, 2.63847496179, 355.74874557180},
3768 { 0.00000000200, 4.52267084558, 508.35032409220},
3769 { 0.00000000218, 5.38075659660, 245.54242435240},
3770 { 0.00000000192, 3.35237783766, 2111.65031337760},
3771 { 0.00000000229, 1.63754079808, 1589.07289528380},
3772 { 0.00000000251, 4.10813396939, 9.56122755560},
3773 { 0.00000000202, 4.69607229482, 107.02492748170},
3774 { 0.00000000173, 1.59764169255, 6069.77675455340},
3775 { 0.00000000191, 4.73261052600, 121.25202148330},
3776 { 0.00000000207, 1.92813876017, 2420.92863603340},
3777 { 0.00000000191, 5.84855063985, 181.05576652360},
3778 { 0.00000000164, 5.21783359224, 414.06801790380},
3779 { 0.00000000202, 2.29783143388, 1677.93857550080},
3780 { 0.00000000162, 5.51123664884, 576.16138801060},
3781 { 0.00000000161, 3.02107979424, 248.72381809010},
3782 { 0.00000000191, 2.28684786322, 2435.15573003500},
3783 { 0.00000000157, 3.63748850914, 1788.14489672020},
3784 { 0.00000000152, 1.86243245336, 177.87437278590},
3785 { 0.00000000164, 1.00473920687, 4.66586644600},
3786 { 0.00000000169, 3.27701894896, 1493.09366806600},
3787 { 0.00000000151, 5.10275814573, 501.37978944330},
3788 { 0.00000000173, 4.01045552060, 98.89998852460},
3789 { 0.00000000158, 3.11393392977, 2008.55753915900},
3790 { 0.00000000147, 4.27669780086, 710.74673161820},
3791 { 0.00000000147, 0.67882060260, 425.11371816770},
3792 { 0.00000000154, 5.37147054362, 148.07872442630},
3793 { 0.00000000170, 0.18576682177, 151.04766984290},
3794 { 0.00000000153, 6.11985601662, 206.13736432740},
3795 { 0.00000000169, 2.77293672089, 1781.03134971940},
3796 { 0.00000000137, 1.44843193937, 131.54696222180},
3797 { 0.00000000168, 5.92342908737, 173.94221952280},
3798 { 0.00000000158, 3.55883885624, 1581.95934828300},
3799 { 0.00000000184, 4.62097049709, 1891.23767093880},
3800 { 0.00000000134, 3.91403282954, 114.13847448250},
3801 { 0.00000000127, 3.70533738666, 436.15941843160},
3802 { 0.00000000135, 4.66039870198, 778.41478318470},
3803 { 0.00000000129, 5.91798218618, 963.40270297140},
3804 { 0.00000000131, 3.92478528327, 421.93232443000},
3805 { 0.00000000120, 0.55800628755, 1802.37199072180},
3806 { 0.00000000125, 5.47463165452, 2001.44399215820},
3807 { 0.00000000120, 0.70246037996, 81.75213321620},
3808 { 0.00000000114, 4.06514981999, 1286.90811962880},
3809 { 0.00000000103, 2.85758217373, 2428.04218303420},
3810 { 0.00000000110, 5.49603517952, 601.76425067620},
3811 { 0.00000000099, 4.66798566120, 431.26405732200},
3812 { 0.00000000135, 5.19983204299, 849.26422848890},
3813 { 0.00000000118, 2.58641645913, 525.49817940060},
3814 { 0.00000000101, 6.08443910077, 558.00214074590},
3815 { 0.00000000092, 5.92766532505, 175.16605980020},
3816 { 0.00000000099, 4.42902114690, 2317.83586181480},
3817 { 0.00000000099, 4.19847910689, 776.93031047640},
3818 { 0.00000000090, 4.83969848370, 2214.74308759620},
3819 { 0.00000000090, 6.25429035515, 661.23792731640},
3820 { 0.00000000088, 0.53030468857, 1382.88734684660},
3821 { 0.00000000086, 5.60357922616, 289.56516671360},
3822 { 0.00000000093, 4.23197698724, 767.36908292080},
3823 { 0.00000000084, 1.27340099422, 2531.13495725280},
3824 { 0.00000000091, 1.34171959952, 421.18156490460},
3825 { 0.00000000075, 3.24680455233, 488.84961647110},
3826 { 0.00000000072, 3.94806470747, 637.44960575920},
3827 { 0.00000000075, 4.01647621073, 432.22726516850},
3828 };
3829
3830
3831 static const struct ln_vsop saturn_latitude_b2[LAT_B2] = {
3832 { 0.00013884264, 0.08994998691, 213.29909543800},
3833 { 0.00003075713, 3.91610937620, 206.18554843720},
3834 { 0.00002081666, 0.09631968077, 220.41264243880},
3835 { 0.00001452574, 5.48867576013, 426.59819087600},
3836 { 0.00000546808, 2.94585826799, 419.48464387520},
3837 { 0.00000391398, 5.43939792344, 433.71173787680},
3838 { 0.00000319740, 4.34820275048, 639.89728631400},
3839 { 0.00000203518, 1.37396136744, 7.11354700080},
3840 { 0.00000220164, 0.00000000000, 0.00000000000},
3841 { 0.00000116719, 6.24505924943, 227.52618943960},
3842 { 0.00000067605, 1.75135990376, 316.39186965660},
3843 { 0.00000064044, 4.10904350356, 199.07200143640},
3844 { 0.00000055518, 4.56815095513, 647.01083331480},
3845 { 0.00000049875, 3.48944345784, 853.19638175200},
3846 { 0.00000038984, 2.79930428520, 632.78373931320},
3847 { 0.00000027643, 1.22439852303, 14.22709400160},
3848 { 0.00000024804, 4.48123972552, 210.11770170030},
3849 { 0.00000021498, 5.38853499774, 440.82528487760},
3850 { 0.00000015704, 4.28129850675, 217.23124870110},
3851 { 0.00000019538, 5.81992746567, 216.48048917570},
3852 { 0.00000014472, 1.71327951628, 110.20632121940},
3853 { 0.00000012290, 4.06067197339, 103.09277421860},
3854 { 0.00000010826, 0.58425778734, 323.50541665740},
3855 { 0.00000011875, 2.95672558940, 412.37109687440},
3856 { 0.00000010534, 2.51484815706, 529.69096509460},
3857 { 0.00000007971, 1.29072033406, 117.31986822020},
3858 { 0.00000009046, 5.92757785737, 209.36694217490},
3859 { 0.00000006820, 3.73629063516, 860.30992875280},
3860 { 0.00000005266, 3.17424271177, 202.25339517410},
3861 { 0.00000006316, 2.70918854345, 1066.49547719000},
3862 { 0.00000004648, 3.40943979533, 309.27832265580},
3863 { 0.00000003657, 6.10028538147, 234.63973644040},
3864 { 0.00000003034, 3.00141076688, 95.97922721780},
3865 { 0.00000002964, 4.75918273840, 625.67019231240},
3866 { 0.00000002831, 3.72837340664, 423.41679713830},
3867 { 0.00000003060, 4.54921839566, 654.12438031560},
3868 { 0.00000003173, 4.93945460684, 429.77958461370},
3869 { 0.00000002517, 2.84610096404, 846.08283475120},
3870 { 0.00000002755, 0.11130771173, 330.61896365820},
3871 { 0.00000002476, 5.80520556780, 536.80451209540},
3872 { 0.00000002579, 4.80701288066, 422.66603761290},
3873 { 0.00000002252, 0.09608234743, 522.57741809380},
3874 { 0.00000002036, 0.29468198549, 224.34479570190},
3875 { 0.00000001945, 5.61183319602, 735.87651353180},
3876 { 0.00000001649, 6.17255863554, 415.55249061210},
3877 { 0.00000001711, 5.68150133024, 223.59403617650},
3878 { 0.00000001223, 1.07126086594, 21.34064100240},
3879 { 0.00000001510, 1.50174476287, 742.99006053260},
3880 { 0.00000001070, 4.69201775284, 203.00415469950},
3881 { 0.00000001097, 4.44901307448, 430.53034413910},
3882 { 0.00000000959, 0.29003331127, 3.93215326310},
3883 { 0.00000001219, 4.89549127087, 277.03499374140},
3884 { 0.00000000780, 6.11668251851, 124.43341522100},
3885 { 0.00000000810, 5.92587997397, 437.64389113990},
3886 { 0.00000000711, 0.87489137869, 3.18139373770},
3887 { 0.00000000703, 2.88322689246, 88.86568021700},
3888 { 0.00000000741, 5.28664451824, 447.93883187840},
3889 { 0.00000000797, 0.38839628271, 515.46387109300},
3890 { 0.00000000648, 2.16863760555, 1059.38193018920},
3891 { 0.00000000770, 3.01019419227, 1073.60902419080},
3892 { 0.00000000646, 4.44476999591, 191.95845443560},
3893 { 0.00000000763, 4.45009347392, 11.04570026390},
3894 { 0.00000000520, 5.46724081186, 149.56319713460},
3895 { 0.00000000495, 5.65080506007, 728.76296653100},
3896 { 0.00000000572, 1.93890743211, 1279.79457262800},
3897 { 0.00000000413, 2.87450257144, 408.43894361130},
3898 { 0.00000000432, 0.45412432082, 956.28915597060},
3899 { 0.00000000388, 4.94447690735, 949.17560896980},
3900 { 0.00000000360, 6.13193432237, 63.73589830340},
3901 { 0.00000000351, 5.97838746664, 215.74677599280},
3902 { 0.00000000432, 4.88617490870, 838.96928775040},
3903 { 0.00000000308, 5.01490854649, 1052.26838318840},
3904 { 0.00000000303, 1.38736789277, 231.45834270270},
3905 { 0.00000000348, 5.56256651070, 543.91805909620},
3906 { 0.00000000283, 3.29371245264, 490.33408917940},
3907 { 0.00000000293, 3.95078933984, 635.96513305090},
3908 { 0.00000000273, 0.60520392704, 10.29494073850},
3909 { 0.00000000250, 4.80069153282, 74.78159856730},
3910 { 0.00000000281, 4.89543546695, 750.10360753340},
3911 { 0.00000000242, 2.03148855332, 1471.75302706360},
3912 { 0.00000000274, 3.74993232264, 867.42347575360},
3913 { 0.00000000259, 4.13047010772, 643.07868005170},
3914 { 0.00000000216, 0.80763325373, 210.85141488320},
3915 { 0.00000000206, 0.17095872111, 195.13984817330},
3916 { 0.00000000197, 2.31774972985, 18.15924726470},
3917 { 0.00000000250, 4.46843768407, 302.16477565500},
3918 { 0.00000000171, 5.71503506984, 1169.58825140860},
3919 { 0.00000000184, 1.22063055823, 203.73786788240},
3920 { 0.00000000150, 3.38891097774, 636.71589257630},
3921 { 0.00000000183, 0.96894551644, 483.22054217860},
3922 { 0.00000000188, 0.97246012795, 1375.77379984580},
3923 { 0.00000000150, 0.21152728512, 1898.35121793960},
3924 { 0.00000000141, 5.87565118609, 618.55664531160},
3925 { 0.00000000135, 4.89760499349, 436.89313161450},
3926 { 0.00000000119, 3.69061152320, 1581.95934828300},
3927 { 0.00000000128, 4.55726731141, 1162.47470440780},
3928 { 0.00000000108, 3.68308754111, 416.30325013750},
3929 { 0.00000000122, 0.02813545121, 831.85574074960},
3930 { 0.00000000102, 3.40993719364, 497.44763618020},
3931 { 0.00000000136, 3.20634132887, 1155.36115740700},
3932 { 0.00000000115, 3.85804239112, 1265.56747862640},
3933 { 0.00000000103, 5.21716051597, 650.94298657790},
3934 { 0.00000000116, 0.26089900561, 1258.45393162560},
3935 { 0.00000000099, 4.22617563970, 362.86229257260},
3936 { 0.00000000097, 2.73570765102, 1368.66025284500},
3937 { 0.00000000093, 0.38836049436, 942.06206196900},
3938 { 0.00000000081, 4.68801853439, 351.81659230870},
3939 { 0.00000000094, 4.53448741145, 628.85158605010},
3940 { 0.00000000078, 5.47626971516, 337.73251065900},
3941 { 0.00000000102, 0.47334815662, 1272.68102562720},
3942 { 0.00000000073, 2.04208824417, 621.73803904930},
3943 };
3944
3945
3946 static const struct ln_vsop saturn_latitude_b3[LAT_B3] = {
3947 { 0.00000463357, 1.69194209337, 213.29909543800},
3948 { 0.00000487242, 5.57827705588, 206.18554843720},
3949 { 0.00000270686, 4.65445792593, 220.41264243880},
3950 { 0.00000277451, 0.00000000000, 0.00000000000},
3951 { 0.00000066718, 3.66337287998, 433.71173787680},
3952 { 0.00000065617, 4.71263096227, 419.48464387520},
3953 { 0.00000069846, 3.33236270677, 426.59819087600},
3954 { 0.00000030551, 4.53651131935, 227.52618943960},
3955 { 0.00000029704, 2.49374065388, 639.89728631400},
3956 { 0.00000018157, 5.89401285772, 7.11354700080},
3957 { 0.00000017504, 5.79120992263, 199.07200143640},
3958 { 0.00000011684, 2.74773493978, 647.01083331480},
3959 { 0.00000006048, 5.80237729519, 14.22709400160},
3960 { 0.00000006248, 1.60565634016, 853.19638175200},
3961 { 0.00000006420, 3.63996599914, 440.82528487760},
3962 { 0.00000004552, 6.21266119922, 210.11770170030},
3963 { 0.00000004995, 3.21953122449, 316.39186965660},
3964 { 0.00000004166, 4.64321479214, 632.78373931320},
3965 { 0.00000002938, 4.64767028200, 412.37109687440},
3966 { 0.00000002894, 4.02023147538, 216.48048917570},
3967 { 0.00000002225, 0.67809668672, 103.09277421860},
3968 { 0.00000001694, 1.86898759241, 860.30992875280},
3969 { 0.00000001394, 4.39486147395, 234.63973644040},
3970 { 0.00000001272, 5.87144755894, 217.23124870110},
3971 { 0.00000001132, 5.91391008745, 117.31986822020},
3972 { 0.00000000984, 0.89291344192, 1066.49547719000},
3973 { 0.00000000848, 5.10998113739, 323.50541665740},
3974 { 0.00000001018, 2.76708857895, 654.12438031560},
3975 { 0.00000000844, 5.65924574483, 309.27832265580},
3976 { 0.00000000631, 3.09293087763, 429.77958461370},
3977 { 0.00000000524, 0.12316698689, 625.67019231240},
3978 { 0.00000000548, 0.64455286234, 110.20632121940},
3979 { 0.00000000484, 5.32908334165, 202.25339517410},
3980 { 0.00000000511, 4.72373936399, 330.61896365820},
3981 { 0.00000000451, 3.89411630776, 223.59403617650},
3982 { 0.00000000395, 5.60471716690, 21.34064100240},
3983 { 0.00000000441, 4.83224059479, 95.97922721780},
3984 { 0.00000000348, 6.09514028242, 191.95845443560},
3985 { 0.00000000277, 4.37382373255, 529.69096509460},
3986 { 0.00000000276, 4.66453225056, 209.36694217490},
3987 { 0.00000000291, 3.74809602199, 447.93883187840},
3988 { 0.00000000231, 4.32361342543, 124.43341522100},
3989 { 0.00000000240, 4.17865323637, 536.80451209540},
3990 { 0.00000000216, 0.94023041295, 735.87651353180},
3991 { 0.00000000215, 4.63069992131, 846.08283475120},
3992 { 0.00000000253, 5.83932336956, 302.16477565500},
3993 { 0.00000000180, 4.66973939257, 224.34479570190},
3994 { 0.00000000232, 0.72016647797, 203.00415469950},
3995 { 0.00000000182, 4.63702652869, 88.86568021700},
3996 { 0.00000000169, 1.51271620453, 522.57741809380},
3997 { 0.00000000169, 5.79435475585, 423.41679713830},
3998 { 0.00000000133, 2.98510523287, 422.66603761290},
3999 { 0.00000000128, 1.05737228351, 1073.60902419080},
4000 { 0.00000000076, 6.23861369445, 1279.79457262800},
4001 };
4002
4003
4004 static const struct ln_vsop saturn_latitude_b4[LAT_B4] = {
4005 { 0.00000058521, 0.96404269672, 206.18554843720},
4006 { 0.00000027023, 2.97511812746, 213.29909543800},
4007 { 0.00000027345, 2.90816987834, 220.41264243880},
4008 { 0.00000008709, 1.88638219079, 433.71173787680},
4009 { 0.00000006015, 2.81931276694, 227.52618943960},
4010 { 0.00000006059, 0.21576562475, 419.48464387520},
4011 { 0.00000003796, 1.19723799579, 199.07200143640},
4012 { 0.00000003647, 1.71327650497, 426.59819087600},
4013 { 0.00000002054, 0.66410894553, 639.89728631400},
4014 { 0.00000002559, 3.14159265359, 0.00000000000},
4015 { 0.00000001867, 0.93578719925, 647.01083331480},
4016 { 0.00000001256, 4.13175992780, 7.11354700080},
4017 { 0.00000001399, 1.88853247568, 440.82528487760},
4018 { 0.00000000936, 4.08790738476, 14.22709400160},
4019 { 0.00000000618, 6.23879306520, 853.19638175200},
4020 { 0.00000000372, 0.27149825756, 412.37109687440},
4021 { 0.00000000332, 2.65677859091, 234.63973644040},
4022 { 0.00000000247, 0.25604474898, 632.78373931320},
4023 { 0.00000000212, 0.03063135059, 860.30992875280},
4024 { 0.00000000162, 4.96348549494, 117.31986822020},
4025 { 0.00000000129, 0.09615721074, 110.20632121940},
4026 { 0.00000000146, 1.02713520383, 654.12438031560},
4027 { 0.00000000081, 1.92779115537, 625.67019231240},
4028 { 0.00000000072, 5.13732084121, 1066.49547719000},
4029 };
4030
4031
4032 static const struct ln_vsop saturn_latitude_b5[LAT_B5] = {
4033 { 0.00000005442, 2.61186488264, 206.18554843720},
4034 { 0.00000001966, 1.16969532852, 220.41264243880},
4035 { 0.00000000907, 0.10771558371, 433.71173787680},
4036 { 0.00000000829, 1.07640059707, 227.52618943960},
4037 { 0.00000000584, 2.88210646011, 199.07200143640},
4038 { 0.00000000764, 3.14159265359, 0.00000000000},
4039 { 0.00000000177, 2.05357076014, 419.48464387520},
4040 { 0.00000000151, 5.41582267800, 647.01083331480},
4041 { 0.00000000098, 1.68550159247, 213.29909543800},
4042 { 0.00000000120, 0.10893311879, 440.82528487760},
4043 { 0.00000000081, 5.11373096610, 639.89728631400},
4044 };
4045
4046
4047 static const struct ln_vsop saturn_radius_r0[RADIUS_R0] = {
4048 { 9.55758135486, 0.00000000000, 0.00000000000},
4049 { 0.52921382865, 2.39226219573, 213.29909543800},
4050 { 0.01873679867, 5.23549604660, 206.18554843720},
4051 { 0.01464663929, 1.64763042902, 426.59819087600},
4052 { 0.00821891141, 5.93520042303, 316.39186965660},
4053 { 0.00547506923, 5.01532618980, 103.09277421860},
4054 { 0.00371684650, 2.27114821115, 220.41264243880},
4055 { 0.00361778765, 3.13904301847, 7.11354700080},
4056 { 0.00140617506, 5.70406606781, 632.78373931320},
4057 { 0.00108974848, 3.29313390175, 110.20632121940},
4058 { 0.00069006962, 5.94099540992, 419.48464387520},
4059 { 0.00061053367, 0.94037691801, 639.89728631400},
4060 { 0.00048913294, 1.55733638681, 202.25339517410},
4061 { 0.00034143772, 0.19519102597, 277.03499374140},
4062 { 0.00032401773, 5.47084567016, 949.17560896980},
4063 { 0.00020936596, 0.46349251129, 735.87651353180},
4064 { 0.00020839300, 1.52102476129, 433.71173787680},
4065 { 0.00020746751, 5.33255457763, 199.07200143640},
4066 { 0.00015298404, 3.05943814940, 529.69096509460},
4067 { 0.00014296484, 2.60433479142, 323.50541665740},
4068 { 0.00011993338, 5.98050967385, 846.08283475120},
4069 { 0.00011380257, 1.73105427040, 522.57741809380},
4070 { 0.00012884624, 1.64890652873, 138.51749687070},
4071 { 0.00007752664, 5.85190720634, 95.97922721780},
4072 { 0.00009796004, 5.20477537945, 1265.56747862640},
4073 { 0.00006465823, 0.17732249942, 1052.26838318840},
4074 { 0.00006770608, 3.00432308205, 14.22709400160},
4075 { 0.00005850459, 1.45520063003, 415.55249061210},
4076 { 0.00005307420, 0.59742200200, 63.73589830340},
4077 { 0.00004695487, 2.14913875148, 227.52618943960},
4078 { 0.00004044055, 1.64006628713, 209.36694217490},
4079 { 0.00003688237, 0.78017261355, 412.37109687440},
4080 { 0.00003376576, 3.69526804193, 224.34479570190},
4081 { 0.00002885428, 1.38764476428, 838.96928775040},
4082 { 0.00002975955, 5.68469131750, 210.11770170030},
4083 { 0.00003419618, 4.94550542171, 1581.95934828300},
4084 { 0.00003460944, 1.85088698050, 175.16605980020},
4085 { 0.00003400702, 0.55385265588, 350.33211960040},
4086 { 0.00002507656, 3.53854849756, 742.99006053260},
4087 { 0.00002448261, 6.18411000897, 1368.66025284500},
4088 { 0.00002406134, 2.96557066697, 117.31986822020},
4089 { 0.00002881100, 0.17962517668, 853.19638175200},
4090 { 0.00002173933, 0.01504273441, 340.77089204480},
4091 { 0.00002024755, 5.05404443168, 11.04570026390},
4092 { 0.00001740284, 2.34658553206, 309.27832265580},
4093 { 0.00001861491, 5.93369815396, 625.67019231240},
4094 { 0.00001888373, 0.02965674854, 3.93215326310},
4095 { 0.00001610962, 1.17294612833, 74.78159856730},
4096 { 0.00001462651, 1.92592107843, 216.48048917570},
4097 { 0.00001474674, 5.67670456599, 203.73786788240},
4098 { 0.00001395118, 5.93681366484, 127.47179660680},
4099 { 0.00001781073, 0.76321113173, 217.23124870110},
4100 { 0.00001817173, 5.77721016746, 490.33408917940},
4101 { 0.00001472651, 1.40074361969, 137.03302416240},
4102 { 0.00001304238, 0.77242217158, 647.01083331480},
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5011 { 0.00000001173, 5.43655584105, 494.47869076360},
5012 { 0.00000001425, 2.65840274172, 1253.77101883710},
5013 { 0.00000001314, 0.15326588436, 493.30303459600},
5014 { 0.00000001134, 1.16341619317, 255.83736509090},
5015 { 0.00000001564, 1.09100285617, 683.02625679790},
5016 { 0.00000001217, 2.18290106978, 17.40848773930},
5017 { 0.00000001410, 4.08121265308, 97.46369992610},
5018 { 0.00000001297, 6.02104813490, 225.07850888480},
5019 { 0.00000001108, 1.99635939822, 3700.72320866140},
5020 { 0.00000001142, 5.96306227849, 1144.31545714310},
5021 { 0.00000001304, 5.24544813643, 5650.29211067820},
5022 { 0.00000001304, 0.78547708972, 1773.91780271860},
5023 { 0.00000001138, 4.47018614395, 680.05731138130},
5024 { 0.00000001384, 3.74284963831, 272.58157561650},
5025 { 0.00000001411, 1.62072757889, 25771.51127191760},
5026 { 0.00000001149, 4.21885813289, 332.17287233570},
5027 { 0.00000001098, 3.75659421786, 318.39760722670},
5028 { 0.00000001117, 3.50712069727, 847.04604259770},
5029 { 0.00000001072, 1.41288617325, 1268.74887236410},
5030 { 0.00000001295, 2.32056477953, 10003.91860403610},
5031 { 0.00000001094, 5.12244388591, 314.38613208650},
5032 { 0.00000001128, 4.05700139843, 118.87377689770},
5033 { 0.00000001277, 5.42029902662, 9996.05429750990},
5034 { 0.00000001086, 1.80330451960, 1457.52593306200},
5035 { 0.00000001265, 5.85587479874, 82.85835341460},
5036 { 0.00000001058, 0.73867502165, 670.91677495100},
5037 { 0.00000001188, 2.10062104482, 423.88987789030},
5038 { 0.00000001051, 1.50055229907, 196.83676920270},
5039 { 0.00000001296, 2.88467024494, 223.33340374560},
5040 { 0.00000001049, 3.43787192741, 771.30123618390},
5041 { 0.00000001360, 4.79139479372, 321.80849562800},
5042 { 0.00000001204, 3.03693665003, 608.40471692500},
5043 { 0.00000001068, 3.48313991728, 754.03576079650},
5044 { 0.00000001175, 0.91096377814, 740.06929922580},
5045 { 0.00000001391, 4.58075086255, 1248.14194454460},
5046 { 0.00000001378, 1.56539991797, 409.18970313670},
5047 { 0.00000001110, 0.75388880657, 1482.79872732750},
5048 { 0.00000001152, 4.43705273794, 10220.39909321180},
5049 { 0.00000001043, 1.17588440529, 398.28701522470},
5050 { 0.00000001115, 3.88267720500, 128.36556848410},
5051 { 0.00000001293, 0.02397468965, 2723.09341168840},
5052 { 0.00000001044, 4.55436071665, 89.75945209430},
5053 { 0.00000001190, 4.49552956816, 429.30650386170},
5054 { 0.00000001253, 1.16885224716, 455.16999895820},
5055 { 0.00000001122, 5.72161306640, 78263.70942472259},
5056 { 0.00000001050, 2.29914438978, 848.53051530600},
5057 { 0.00000001083, 4.69013639040, 1.27202438720},
5058 { 0.00000001252, 5.28238896229, 6080.82245481730},
5059 { 0.00000001036, 1.37191316671, 1251.34038462480},
5060 { 0.00000001047, 6.05833150471, 206.44618086810},
5061 { 0.00000001106, 4.43961682956, 633.30500417500},
5062 { 0.00000001083, 5.04862249728, 629.86297800640},
5063 { 0.00000001024, 4.87634491793, 433.75992198660},
5064 { 0.00000001087, 3.62653860280, 582.38116313410},
5065 { 0.00000001082, 4.07686503205, 1245.17299912800},
5066 { 0.00000001161, 4.20513144049, 827.17282796110},
5067 { 0.00000001010, 0.83370133581, 16.46232623530},
5068 { 0.00000001415, 0.47625687277, 774.00954916960},
5069 { 0.00000001258, 0.13038090471, 101.60830151030},
5070 { 0.00000001197, 0.79148395839, 9580.50180689780},
5071 { 0.00000001402, 4.82957073563, 883.79517926370},
5072 { 0.00000000999, 2.32497777320, 61.28821774860},
5073 { 0.00000001110, 5.88801273512, 657.16276170140},
5074 { 0.00000000996, 4.99081075982, 426.75824957040},
5075 { 0.00000001117, 6.11410083484, 870.46185713940},
5076 { 0.00000001070, 0.29336435059, 119.76754877500},
5077 { 0.00000000996, 1.60533807172, 426.43813218160},
5078 { 0.00000001032, 4.72428387546, 201.99276274320},
5079 { 0.00000001101, 3.93919206905, 632.26247445140},
5080 { 0.00000001118, 4.40767803642, 532.13864564940},
5081 { 0.00000001014, 5.79119811472, 6460.81221096080},
5082 { 0.00000001064, 0.19404592323, 6386.16862421000},
5083 { 0.00000001336, 4.79375117329, 2332.06295581640},
5084 { 0.00000001002, 5.95184354004, 3906.90875709860},
5085 { 0.00000001310, 0.60237129875, 1123.11782849260},
5086 { 0.00000000984, 0.24370826999, 229.76142167330},
5087 { 0.00000001192, 0.39183403313, 1178.98942026980},
5088 { 0.00000000983, 6.19356591342, 962.50893109410},
5089 { 0.00000001032, 5.86748597956, 108.50940019000},
5090 { 0.00000001105, 3.86281159011, 736.83972137830},
5091 { 0.00000001056, 4.23985464910, 113.12708252620},
5092 { 0.00000000976, 1.83523959034, 5.88970672340},
5093 { 0.00000001043, 3.02320720148, 347.41135829360},
5094 { 0.00000001063, 3.90644958468, 683.18631549230},
5095 { 0.00000001041, 2.36429894351, 821.54375366860},
5096 { 0.00000000972, 4.01268690768, 469.72716135990},
5097 { 0.00000001106, 5.22834029531, 1459.95656727430},
5098 { 0.00000001217, 4.61800510389, 990.22940591440},
5099 { 0.00000001171, 0.42265751679, 10011.03215103690},
5100 { 0.00000001171, 6.15008203965, 737.31280213030},
5101 { 0.00000000950, 2.20627976392, 199.12018554620},
5102 { 0.00000001155, 4.33358864948, 1055.44977692610},
5103 { 0.00000000976, 1.05304205075, 8.33738727820},
5104 { 0.00000000986, 4.77927211762, 109.68505635760},
5105 { 0.00000000965, 4.09286645443, 522.52923398400},
5106 { 0.00000001203, 5.48783494218, 2810.92146160520},
5107 { 0.00000001139, 1.05860663139, 369.97583957340},
5108 { 0.00000001083, 3.06419651551, 700.45179087970},
5109 { 0.00000000962, 5.58253892259, 47.06112374700},
5110 { 0.00000001097, 4.27064998408, 384.27236954420},
5111 { 0.00000001006, 5.89037944896, 10007.09999777380},
5112 { 0.00000000967, 1.56852913547, 157.63995198190},
5113 { 0.00000001213, 0.31515805319, 707.56533788050},
5114 { 0.00000001114, 5.58206045644, 92.94084583200},
5115 { 0.00000000937, 5.19215522052, 316.13123722570},
5116 { 0.00000000951, 3.65476455359, 1235.61177157240},
5117 { 0.00000000981, 2.37620383333, 35.21227433100},
5118 { 0.00000000929, 6.06911430142, 0.04818410980},
5119 { 0.00000000961, 1.69324063398, 433.66355376700},
5120 { 0.00000000933, 3.13487131274, 387.24131496080},
5121 { 0.00000000993, 3.58058926281, 735.82832942200},
5122 { 0.00000001287, 6.08212342139, 1329.30337692980},
5123 { 0.00000001015, 6.19122845232, 401.32539661050},
5124 { 0.00000001024, 1.90798238649, 1175.80802653210},
5125 { 0.00000001037, 0.76313958988, 733.42883297700},
5126 { 0.00000001072, 4.95817300234, 631.82053146670},
5127 { 0.00000000993, 0.31814583417, 1365.47885910730},
5128 { 0.00000001134, 5.87478488618, 6058.73105428950},
5129 { 0.00000000999, 3.52478664564, 27.08733537390},
5130 { 0.00000000959, 5.43627627442, 46.20979048510},
5131 { 0.00000000915, 4.87266214195, 18.91000679010},
5132 { 0.00000000999, 1.19719347548, 104.57724692690},
5133 { 0.00000000963, 2.72059732893, 308.31511480930},
5134 { 0.00000001166, 0.83821274577, 4.14460158420},
5135 { 0.00000001039, 2.40020830681, 6475.03930496240},
5136 { 0.00000001141, 2.92863924940, 1037.29052966140},
5137 { 0.00000001005, 6.12430441703, 6275.96230299060},
5138 { 0.00000001224, 1.73535287415, 5120.60114558360},
5139 { 0.00000000924, 5.70601816488, 614.83694036960},
5140 { 0.00000000976, 3.65075292234, 3281.23856478620},
5141 { 0.00000001042, 1.10027795842, 1518.22344997960},
5142 { 0.00000000890, 4.03192782386, 1314.32552340280},
5143 { 0.00000000919, 4.36994806815, 1151.42900414390},
5144 { 0.00000000988, 4.17719296131, 98.42690777260},
5145 { 0.00000001224, 1.56813277780, 498.93210888850},
5146 { 0.00000000914, 0.84094751548, 8.81046803020},
5147 { 0.00000001226, 3.52834223937, 80.41067285980},
5148 { 0.00000000882, 0.83665470112, 294.30046912880},
5149 { 0.00000001049, 0.47324130220, 495.96316347190},
5150 { 0.00000000939, 4.68295941083, 4105.98075853500},
5151 { 0.00000000896, 3.65029741088, 414.81877742920},
5152 { 0.00000001235, 1.23871819142, 357.23321828010},
5153 { 0.00000001218, 0.18349810348, 1090.40141882620},
5154 { 0.00000000909, 5.12780284661, 1173.52040467170},
5155 { 0.00000000948, 5.30478380123, 199.02381732660},
5156 { 0.00000001075, 2.39947623423, 311.72600321060},
5157 { 0.00000000871, 0.34963934486, 338.48327018440},
5158 { 0.00000000895, 1.41605139181, 877.10232338820},
5159 { 0.00000000895, 6.05936094663, 1987.21689815660},
5160 { 0.00000001151, 1.92096829093, 757.80785536520},
5161 { 0.00000000864, 0.73362618982, 1152.17976366930},
5162 { 0.00000001161, 5.43333581656, 1089.12939443900},
5163 { 0.00000000957, 3.12919808399, 628.59095361920},
5164 { 0.00000000860, 5.69748024851, 103.84353374400},
5165 { 0.00000000910, 3.29147304619, 159.71512552120},
5166 { 0.00000000870, 0.77956473768, 907.37105249980},
5167 { 0.00000001158, 3.33343863758, 6290.18939699220},
5168 { 0.00000001036, 3.11936047271, 5429.87946823940},
5169 { 0.00000000852, 6.23629650974, 938.88066823130},
5170 { 0.00000000888, 5.86925802792, 156.67674413540},
5171 { 0.00000000832, 5.19725706044, 475.35623565240},
5172 { 0.00000001039, 4.56635505777, 1912.57831194120},
5173 { 0.00000000850, 4.08197558202, 3333.49887969900},
5174 { 0.00000000890, 0.24277485157, 3803.81598288000},
5175 { 0.00000000887, 3.46938383985, 1748.78802080500},
5176 { 0.00000000862, 3.35450376868, 425.32616648880},
5177 { 0.00000000812, 4.75534187737, 620.25356634100},
5178 { 0.00000000876, 4.06819335830, 413.85556958270},
5179 { 0.00000000920, 5.33063977936, 110.72758608120},
5180 { 0.00000001065, 0.20426944617, 439.93151300030},
5181 { 0.00000000898, 5.42633037147, 236.87496867410},
5182 { 0.00000000862, 3.24167644464, 427.87021526320},
5183 { 0.00000000839, 4.55976894141, 77.96299230500},
5184 { 0.00000000793, 5.01131700831, 109.99387289830},
5185 { 0.00000000883, 5.91547058278, 13.33332212430},
5186 { 0.00000000791, 2.21809404489, 110.41876954050},
5187 { 0.00000000842, 5.04957483607, 444.12429869430},
5188 { 0.00000000844, 3.26239911598, 635.70450062000},
5189 { 0.00000000887, 4.23752031725, 3553.91152213780},
5190 { 0.00000000813, 1.94182459500, 627.15466502070},
5191 { 0.00000000953, 1.84900597155, 835.78789401270},
5192 { 0.00000000966, 4.55013458162, 9360.08916445900},
5193 { 0.00000001092, 0.58153747940, 203.26478713040},
5194 { 0.00000000814, 4.01510494376, 604.47256366190},
5195 { 0.00000000811, 1.22144185843, 254.35289238260},
5196 { 0.00000000786, 3.84829878956, 194.38908864790},
5197 { 0.00000000774, 3.76050639310, 219.14061805160},
5198 { 0.00000000781, 5.08832725435, 802.79380557290},
5199 { 0.00000000876, 5.19448877884, 948.21240112330},
5200 { 0.00000001077, 4.29979657165, 5753.38488489680},
5201 { 0.00000000901, 1.36051594017, 1201.83158032300},
5202 { 0.00000000774, 4.80415223158, 394.35486196160},
5203 { 0.00000000780, 4.94962976798, 532.87235883230},
5204 { 0.00000000827, 5.64337714429, 2620.00063746980},
5205 { 0.00000000772, 2.30361551098, 949.12742486000},
5206 { 0.00000000818, 2.52609626540, 26301.20223701220},
5207 { 0.00000000855, 3.28701649613, 95.01601937130},
5208 { 0.00000000928, 0.72021151346, 740.28174754690},
5209 { 0.00000000974, 1.55167938413, 186.47239249500},
5210 { 0.00000000895, 5.83218231202, 4539.69249641180},
5211 { 0.00000000824, 3.48188126089, 845.33207522580},
5212 { 0.00000000751, 5.07329791290, 476.10699517780},
5213 { 0.00000000773, 2.77996323939, 688.65533109040},
5214 { 0.00000000939, 3.68460642343, 817.77165909990},
5215 { 0.00000000910, 4.40175612169, 2648.45482547300},
5216 { 0.00000000753, 0.04254534997, 1534.73816584160},
5217 { 0.00000000741, 0.04675642866, 846.13101886100},
5218 { 0.00000000736, 0.63322927327, 58.10682401090},
5219 { 0.00000000776, 5.42586716249, 5540.08578945880},
5220 { 0.00000000860, 4.24463603685, 29.20494752860},
5221 { 0.00000000751, 2.43181413413, 625.88264063350},
5222 { 0.00000000852, 3.11058720799, 232.42155054920},
5223 { 0.00000000722, 5.34176028966, 949.22379307960},
5224 { 0.00000000722, 0.45293446355, 522.62560220360},
5225 { 0.00000000896, 0.32751625766, 229.34073054800},
5226 { 0.00000000722, 3.96121088528, 1474.93442080130},
5227 { 0.00000000715, 4.41679796625, 19.12245511120},
5228 { 0.00000000788, 0.99170388242, 121.84272231430},
5229 { 0.00000000713, 3.68141955548, 4532.57894941100},
5230 { 0.00000000722, 4.16734185316, 232.20910222810},
5231 { 0.00000000969, 2.31953080666, 566.60016045500},
5232 { 0.00000000795, 6.16762624120, 1475.68518032670},
5233 { 0.00000000713, 0.83529892802, 1884.12412393800},
5234 { 0.00000000731, 6.11847213487, 1239.54392483550},
5235 { 0.00000000871, 5.94461985599, 11.30633269480},
5236 { 0.00000000750, 5.31040934310, 9683.59458111640},
5237 { 0.00000000861, 1.84312756285, 984.60033162190},
5238 { 0.00000000695, 4.78088165969, 10419.47109464820},
5239 { 0.00000000746, 1.40148355303, 782.34693644780},
5240 { 0.00000000829, 5.85923720925, 845.11962690470},
5241 { 0.00000000739, 5.21951835749, 3679.38256765900},
5242 { 0.00000000692, 3.38736418117, 6489.26139842860},
5243 { 0.00000000694, 3.07863807714, 316.60431797770},
5244 { 0.00000000690, 5.86681311380, 316.17942133550},
5245 { 0.00000000714, 5.38707933404, 567.82400073240},
5246 { 0.00000000774, 3.17401887776, 846.03465064140},
5247 { 0.00000000750, 3.05400490211, 66.91729204110},
5248 { 0.00000000767, 0.12081849650, 485.88067105450},
5249 { 0.00000000705, 0.57839934869, 1053.75285589670},
5250 { 0.00000000684, 4.88442270630, 2545.36205125440},
5251 { 0.00000000684, 5.35202323443, 1193.96727379680},
5252 { 0.00000000692, 3.63694823733, 599.64663852150},
5253 { 0.00000000883, 1.46307267703, 112.91463420510},
5254 { 0.00000000827, 2.59300433753, 232.94281541100},
5255 { 0.00000000686, 2.16126205234, 529.73914920440},
5256 };
5257
5258
5259 static const struct ln_vsop saturn_radius_r1[RADIUS_R1] = {
5260 { 0.06182981340, 0.25843511480, 213.29909543800},
5261 { 0.00506577242, 0.71114625261, 206.18554843720},
5262 { 0.00341394029, 5.79635741658, 426.59819087600},
5263 { 0.00188491195, 0.47215589652, 220.41264243880},
5264 { 0.00186261486, 3.14159265359, 0.00000000000},
5265 { 0.00143891146, 1.40744822888, 7.11354700080},
5266 { 0.00049621208, 6.01744279820, 103.09277421860},
5267 { 0.00020928426, 5.09244947411, 639.89728631400},
5268 { 0.00019952564, 1.17560606130, 419.48464387520},
5269 { 0.00018839544, 1.60818334043, 110.20632121940},
5270 { 0.00012892843, 5.94329433020, 433.71173787680},
5271 { 0.00013876849, 0.75884928866, 199.07200143640},
5272 { 0.00005396842, 1.28853589711, 14.22709400160},
5273 { 0.00004869289, 0.86797227054, 323.50541665740},
5274 { 0.00004247221, 0.39294984732, 227.52618943960},
5275 { 0.00003252331, 1.25850154330, 95.97922721780},
5276 { 0.00002856066, 2.16731283870, 735.87651353180},
5277 { 0.00002909540, 4.60680719251, 202.25339517410},
5278 { 0.00003081410, 3.43662543526, 522.57741809380},
5279 { 0.00001987731, 2.45053765034, 412.37109687440},
5280 { 0.00001941443, 6.02392296904, 209.36694217490},
5281 { 0.00001581782, 1.29189091556, 210.11770170030},
5282 { 0.00001339521, 4.30812522038, 853.19638175200},
5283 { 0.00001315459, 1.25295611814, 117.31986822020},
5284 { 0.00001202869, 1.86661895487, 316.39186965660},
5285 { 0.00001090827, 0.07529636493, 216.48048917570},
5286 { 0.00000954300, 5.15171167674, 647.01083331480},
5287 { 0.00000965957, 0.47988871608, 632.78373931320},
5288 { 0.00000882063, 1.88467410042, 1052.26838318840},
5289 { 0.00000874310, 1.40216274572, 224.34479570190},
5290 { 0.00000897508, 0.98347755563, 529.69096509460},
5291 { 0.00000784828, 3.06374185689, 838.96928775040},
5292 { 0.00000739765, 1.38209924525, 625.67019231240},
5293 { 0.00000612930, 3.03309390383, 63.73589830340},
5294 { 0.00000658132, 4.14374715020, 309.27832265580},
5295 { 0.00000649590, 1.72473111863, 742.99006053260},
5296 { 0.00000599227, 2.54946247931, 217.23124870110},
5297 { 0.00000502951, 2.12941646895, 3.93215326310},
5298 { 0.00000412937, 4.59321186186, 415.55249061210},
5299 { 0.00000355987, 2.30328555624, 728.76296653100},
5300 { 0.00000344652, 5.88820160547, 440.82528487760},
5301 { 0.00000394995, 0.53397103760, 956.28915597060},
5302 { 0.00000335677, 1.61590789073, 1368.66025284500},
5303 { 0.00000362976, 4.70597807520, 302.16477565500},
5304 { 0.00000321577, 0.97932351230, 3.18139373770},
5305 { 0.00000277708, 0.25951592662, 195.13984817330},
5306 { 0.00000291180, 2.83137010050, 1155.36115740700},
5307 { 0.00000265342, 2.42688922787, 88.86568021700},
5308 { 0.00000264620, 5.82810809153, 149.56319713460},
5309 { 0.00000316952, 3.58395969651, 515.46387109300},
5310 { 0.00000294362, 2.81544110682, 11.04570026390},
5311 { 0.00000244591, 1.04536406733, 942.06206196900},
5312 { 0.00000215355, 3.56547915194, 490.33408917940},
5313 { 0.00000263891, 1.28577306550, 1059.38193018920},
5314 { 0.00000245985, 0.90791252506, 191.95845443560},
5315 { 0.00000221909, 5.13181138104, 269.92144674060},
5316 { 0.00000195132, 4.56582271431, 846.08283475120},
5317 { 0.00000182943, 2.67926427647, 127.47179660680},
5318 { 0.00000181431, 4.93450656865, 74.78159856730},
5319 { 0.00000174706, 3.44549385972, 137.03302416240},
5320 { 0.00000165475, 5.99806063883, 536.80451209540},
5321 { 0.00000154921, 1.19719941288, 265.98929347750},
5322 { 0.00000169692, 4.63444302692, 284.14854074220},
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5625 { 0.00000002829, 4.83740912540, 397.39324334740},
5626 { 0.00000003167, 5.70962048994, 381.35160823740},
5627 { 0.00000003274, 6.27291197136, 421.18156490460},
5628 { 0.00000002499, 5.28733779933, 299.12639426920},
5629 { 0.00000002584, 4.23448348275, 195.89060769870},
5630 { 0.00000003275, 0.27673788021, 201.51968199120},
5631 { 0.00000002580, 2.62721090534, 213.18722085340},
5632 { 0.00000002491, 5.85060777804, 738.79727483860},
5633 { 0.00000002541, 2.56639705704, 140.00196957900},
5634 { 0.00000002529, 1.99070587972, 319.31263096340},
5635 { 0.00000002467, 3.42927288151, 4.19278569400},
5636 { 0.00000002420, 2.36333597473, 84.34282612290},
5637 { 0.00000002372, 2.19097141324, 17.26547538740},
5638 { 0.00000002346, 3.77641630157, 206.23373254700},
5639 { 0.00000002770, 0.44868346595, 285.63301345050},
5640 { 0.00000002461, 5.42065334253, 395.57870223900},
5641 { 0.00000002352, 0.63041319237, 210.59078245230},
5642 { 0.00000002556, 0.31798127807, 326.68681039510},
5643 { 0.00000003257, 5.02353259776, 313.94418910180},
5644 { 0.00000002396, 4.05648460784, 519.39602435610},
5645 { 0.00000002563, 1.24842307195, 724.83081326790},
5646 { 0.00000002439, 3.49398086505, 431.26405732200},
5647 { 0.00000002299, 0.13437111088, 2524.02141025200},
5648 { 0.00000002299, 4.51974731455, 228.27694896500},
5649 { 0.00000002515, 0.70044371265, 2943.50605412720},
5650 { 0.00000003111, 2.77650913154, 732.69511979410},
5651 { 0.00000002453, 3.14780313298, 170.76082578510},
5652 { 0.00000002673, 3.33934506849, 1141.13406340540},
5653 { 0.00000002501, 3.85258138055, 696.51963761660},
5654 { 0.00000002384, 0.80154277885, 3370.10424500320},
5655 { 0.00000002318, 0.79742541663, 426.07692601420},
5656 { 0.00000002204, 0.22323394228, 3259.89792378380},
5657 { 0.00000002647, 2.60111065092, 436.15941843160},
5658 { 0.00000002126, 0.14832317660, 405.99126305650},
5659 { 0.00000002301, 1.25086250691, 427.11945573780},
5660 { 0.00000002752, 3.02333147039, 468.24268865160},
5661 { 0.00000002128, 3.08760310976, 203.26478713040},
5662 { 0.00000002105, 0.46661118435, 184.98791978670},
5663 { 0.00000002354, 2.59778868023, 511.53171782990},
5664 { 0.00000002333, 3.02634928771, 216.00740842370},
5665 { 0.00000002162, 4.27244747747, 7.16173111060},
5666 { 0.00000002581, 4.73385922413, 221.37585028530},
5667 { 0.00000002074, 0.57960021408, 180.16199464630},
5668 { 0.00000002478, 4.72786315991, 556.51766803760},
5669 { 0.00000002580, 1.03705340380, 213.41097002260},
5670 { 0.00000002025, 2.28785218653, 610.69233878540},
5671 { 0.00000002244, 0.12206585141, 259.76951835400},
5672 { 0.00000002005, 3.14124583124, 1382.88734684660},
5673 { 0.00000002052, 0.74291254690, 200.55647414470},
5674 { 0.00000001985, 3.34537824132, 421.93232443000},
5675 { 0.00000002000, 5.26813039382, 661.23792731640},
5676 { 0.00000002153, 0.85935268348, 286.59622129700},
5677 { 0.00000001936, 1.05286934530, 1262.38608488870},
5678 { 0.00000002039, 1.72125271358, 1670.82502850000},
5679 { 0.00000001901, 0.58371277903, 406.95447090300},
5680 { 0.00000001976, 1.31263772907, 135.54855145410},
5681 { 0.00000002447, 0.52794500154, 429.51895218280},
5682 { 0.00000002174, 2.29627370615, 1773.91780271860},
5683 { 0.00000001895, 2.80891695372, 141.69889060840},
5684 { 0.00000001872, 4.35634331322, 572.22923474750},
5685 { 0.00000001863, 1.48314429040, 638.41281360570},
5686 { 0.00000002007, 1.73735242111, 193.65537546500},
5687 { 0.00000001927, 1.56648434889, 391.17346822390},
5688 { 0.00000001844, 6.11579285251, 1261.63532536330},
5689 { 0.00000002179, 6.14304471748, 205.43478891180},
5690 { 0.00000002094, 5.00798053675, 420.96911658350},
5691 { 0.00000002538, 5.83123621858, 426.55000676620},
5692 { 0.00000002168, 0.41741136149, 213.51154375910},
5693 { 0.00000002433, 1.02613363057, 59.80374504030},
5694 { 0.00000001836, 0.30655659532, 938.12990870590},
5695 { 0.00000001830, 5.54146705928, 206.13736432740},
5696 { 0.00000001776, 2.16382412830, 72.07328558160},
5697 { 0.00000002034, 1.21814866092, 3046.59882834580},
5698 { 0.00000001879, 4.43358651290, 576.16138801060},
5699 { 0.00000001753, 0.06020614247, 241.75328344120},
5700 { 0.00000002168, 3.24685294764, 213.08664711690},
5701 { 0.00000001740, 0.14507117402, 196.03362005060},
5702 { 0.00000001840, 2.85531411351, 842.90144101350},
5703 { 0.00000002254, 5.04269960259, 558.00214074590},
5704 { 0.00000002357, 5.39214088781, 2854.64037391020},
5705 { 0.00000001840, 2.81087023611, 179.35884549420},
5706 { 0.00000001765, 3.65425588942, 403.02231763990},
5707 { 0.00000002147, 1.24753861866, 624.91943278700},
5708 { 0.00000001749, 5.29018685566, 87.31177153950},
5709 { 0.00000001903, 2.91827326906, 398.14400287280},
5710 { 0.00000002073, 2.50732735763, 26.82670294300},
5711 { 0.00000001675, 4.80439517678, 181.80652604900},
5712 { 0.00000001902, 2.74426125465, 4952.06359328620},
5713 { 0.00000001962, 3.52111949662, 213.45915413240},
5714 { 0.00000002076, 3.27905969320, 1596.18644228460},
5715 { 0.00000001892, 6.08128888555, 230.70758317730},
5716 { 0.00000001750, 1.10237257017, 586.31331639720},
5717 { 0.00000001710, 2.14595287920, 1056.20053645150},
5718 { 0.00000001616, 2.12300497232, 430.79097657000},
5719 { 0.00000001681, 6.09941304210, 952.35700270750},
5720 { 0.00000001655, 2.26128695913, 418.52143602870},
5721 { 0.00000001871, 5.61838915758, 2957.73314812880},
5722 { 0.00000001962, 0.13564680851, 213.13903674360},
5723 { 0.00000001629, 2.83974065181, 92.79783348010},
5724 { 0.00000002145, 5.44218817748, 627.36711334180},
5725 { 0.00000001792, 1.07109040443, 355.74874557180},
5726 { 0.00000001647, 0.82347900016, 214.57111982520},
5727 { 0.00000001624, 1.17583107487, 739.05790726950},
5728 { 0.00000001524, 2.71525171937, 73.29712585900},
5729 { 0.00000001788, 1.24908512950, 219.89137757700},
5730 { 0.00000001524, 5.26558677448, 5429.87946823940},
5731 { 0.00000001615, 2.98996883280, 45.57665103870},
5732 { 0.00000001692, 1.91984860233, 630.33605875840},
5733 { 0.00000001742, 0.38573693332, 831.10498122420},
5734 { 0.00000001920, 5.19783839519, 550.13783421970},
5735 { 0.00000001936, 2.81335247199, 429.04587143080},
5736 { 0.00000001504, 1.90331343411, 205.66428357540},
5737 { 0.00000001596, 0.99004701777, 953.10776223290},
5738 { 0.00000001782, 3.91453968301, 159.12442469020},
5739 { 0.00000001470, 5.46587523637, 273.85360000370},
5740 { 0.00000001460, 1.31673789760, 84.93352695390},
5741 { 0.00000001479, 5.27664183474, 757.21715453420},
5742 { 0.00000001455, 2.61054780734, 850.01498801430},
5743 { 0.00000001808, 3.96315121347, 1699.27921650320},
5744 { 0.00000001643, 0.57689283331, 532.61172640140},
5745 { 0.00000001887, 2.78798625347, 418.00017116690},
5746 { 0.00000001607, 1.08154126629, 518.38463239980},
5747 { 0.00000001680, 3.17515284087, 105.54045477340},
5748 { 0.00000001641, 2.91802756388, 172.24529849340},
5749 { 0.00000001480, 4.08712341396, 206.93630796260},
5750 { 0.00000001407, 3.23765622180, 453.42489381900},
5751 { 0.00000001631, 1.06286709889, 213.55972786890},
5752 { 0.00000001466, 1.13594271587, 731.94436026870},
5753 { 0.00000001389, 0.40584159469, 9360.08916445900},
5754 { 0.00000001496, 1.12030845793, 423.67742956920},
5755 { 0.00000001668, 4.32873096627, 173.94221952280},
5756 { 0.00000001467, 0.03783145221, 432.01481684740},
5757 { 0.00000001824, 0.24130491507, 220.36445832900},
5758 { 0.00000001408, 3.34120468096, 934.94851496820},
5759 { 0.00000001341, 1.40041251657, 373.90799283650},
5760 { 0.00000001340, 1.30057612449, 428.08266358430},
5761 { 0.00000001663, 2.38182712355, 188.02630117250},
5762 { 0.00000001416, 3.65464640816, 6.85291456990},
5763 { 0.00000001390, 0.72143566917, 2751.54759969160},
5764 { 0.00000001562, 5.99871360541, 292.01284726840},
5765 { 0.00000001388, 1.31100159458, 6275.96230299060},
5766 { 0.00000001351, 5.85616582168, 5863.59120611620},
5767 { 0.00000001475, 1.21040113552, 2531.13495725280},
5768 { 0.00000001481, 4.93476986510, 384.05992122310},
5769 { 0.00000001271, 3.46636801274, 354.99798604640},
5770 { 0.00000001437, 4.05228413274, 177.87437278590},
5771 { 0.00000001619, 2.44942359064, 1049.08698945070},
5772 { 0.00000001626, 3.16002444915, 835.78789401270},
5773 { 0.00000001249, 2.97028182853, 51749.20809227239},
5774 { 0.00000001387, 3.37238340312, 409.18970313670},
5775 { 0.00000001240, 2.66940683813, 2700.71514038580},
5776 { 0.00000001457, 1.85616688056, 96.87299909510},
5777 { 0.00000001230, 4.27283851216, 12139.55350910680},
5778 { 0.00000001221, 4.36973999431, 3914.02230409940},
5779 { 0.00000001251, 5.29882815294, 306.09692891810},
5780 { 0.00000001400, 5.04071080320, 295.19424100610},
5781 { 0.00000001304, 5.77737491864, 60.55450456570},
5782 { 0.00000001247, 0.99106661572, 9793.80090233580},
5783 { 0.00000001174, 6.11392643811, 823.99143422340},
5784 { 0.00000001231, 1.10890530720, 2303.60876781320},
5785 { 0.00000001186, 4.55984967028, 9808.53818466140},
5786 { 0.00000001401, 2.50099443277, 206.70681329900},
5787 { 0.00000001181, 5.81146592434, 569.04784100980},
5788 { 0.00000001234, 2.72607019445, 10206.17199921020},
5789 { 0.00000001334, 4.87244369722, 54.17467074780},
5790 { 0.00000001198, 5.42400970257, 864.24208201590},
5791 { 0.00000001499, 0.34153793328, 17.40848773930},
5792 { 0.00000001143, 1.61667366569, 238.57188970350},
5793 { 0.00000001199, 1.39732488359, 1987.21689815660},
5794 { 0.00000001266, 5.89383144767, 162.89651925890},
5795 { 0.00000001268, 4.10670310052, 3377.21779200400},
5796 { 0.00000001297, 4.35617934153, 606.76018552230},
5797 { 0.00000001270, 2.05134233573, 525.75881183150},
5798 { 0.00000001203, 1.96781078617, 220.93390730060},
5799 { 0.00000001196, 5.13485214850, 227.31374111850},
5800 { 0.00000001537, 3.54197877408, 2015.67108615980},
5801 { 0.00000001098, 5.09543897410, 107.75864066460},
5802 { 0.00000001153, 5.33028034679, 233.90602325750},
5803 { 0.00000001365, 3.08025915574, 427.34895040140},
5804 { 0.00000001075, 3.06444759157, 464.73122651380},
5805 { 0.00000001374, 2.92410533076, 1457.52593306200},
5806 { 0.00000001352, 2.28174856694, 525.49817940060},
5807 { 0.00000001073, 1.11416151647, 221.16340196420},
5808 { 0.00000001344, 1.64695425702, 857.12853501510},
5809 { 0.00000001184, 2.99776919968, 199.28444975750},
5810 { 0.00000001107, 4.12107153730, 188.16931352440},
5811 { 0.00000001048, 0.92836722889, 162.09337010680},
5812 { 0.00000001042, 3.19127595332, 394.35486196160},
5813 { 0.00000001117, 3.74367882111, 214.19286731530},
5814 { 0.00000001348, 3.91347414537, 318.83955021140},
5815 { 0.00000001423, 5.55111750760, 3274.12501778540},
5816 { 0.00000001002, 3.38741565397, 211.60217440860},
5817 { 0.00000001230, 5.41217826890, 425.84743135060},
5818 { 0.00000000990, 4.85610832843, 611.44309831080},
5819 { 0.00000001038, 2.75247985959, 637.44960575920},
5820 { 0.00000001033, 3.81628585983, 504.56118318100},
5821 { 0.00000001167, 5.17428865567, 838.21852822500},
5822 { 0.00000001014, 5.86348763799, 1268.74887236410},
5823 { 0.00000000971, 0.71587860892, 353.30106501700},
5824 { 0.00000000979, 3.76338750757, 5856.47765911540},
5825 { 0.00000001162, 0.39950647000, 393.46109008430},
5826 { 0.00000001132, 6.20586626566, 42.53826965290},
5827 { 0.00000000993, 2.43898404688, 361.37781986430},
5828 { 0.00000000968, 4.34102490096, 92.94084583200},
5829 { 0.00000000992, 3.44191274254, 244.79166482700},
5830 { 0.00000001040, 2.09854075205, 6290.18939699220},
5831 { 0.00000001199, 4.50333414597, 465.95506679120},
5832 { 0.00000001045, 4.35802840016, 199.96577331370},
5833 { 0.00000000997, 4.30943991893, 212.40532356070},
5834 { 0.00000001112, 2.01573268377, 401.32539661050},
5835 { 0.00000001126, 3.10437252196, 2332.06295581640},
5836 { 0.00000000947, 1.94989936958, 1159.29331067010},
5837 { 0.00000001004, 3.82717589308, 238.42887735160},
5838 { 0.00000000987, 1.93295365583, 184.84490743480},
5839 { 0.00000001267, 2.15471388627, 78.71375183040},
5840 { 0.00000001012, 3.24365897308, 153.49535039770},
5841 { 0.00000000895, 0.68991951614, 731.68372783780},
5842 { 0.00000000984, 3.65764548940, 226.63241756230},
5843 { 0.00000000889, 1.76327775185, 223.33340374560},
5844 { 0.00000000901, 1.12876279070, 51.20572533120},
5845 { 0.00000000895, 1.86564778046, 622.48879857470},
5846 { 0.00000001020, 5.53181822898, 0.04818410980},
5847 { 0.00000000873, 5.78462965667, 480.77286162380},
5848 { 0.00000000854, 1.63255087291, 328.24071907260},
5849 { 0.00000000853, 1.59662886472, 477.80391620720},
5850 { 0.00000000952, 1.99527233195, 969.62247809490},
5851 { 0.00000000858, 5.33623034689, 450.97721326420},
5852 { 0.00000000867, 2.93211582569, 532.87235883230},
5853 { 0.00000000900, 1.32666825337, 700.45179087970},
5854 { 0.00000001123, 4.07401922216, 3693.60966166060},
5855 { 0.00000000870, 5.51456846454, 159.71512552120},
5856 { 0.00000000890, 1.03814593125, 960.22130923370},
5857 { 0.00000001007, 2.73615455688, 4841.85727206680},
5858 { 0.00000000940, 4.20216070094, 597.35901666110},
5859 { 0.00000000941, 5.31417860339, 369.97583957340},
5860 { 0.00000000811, 0.48369226007, 219.66188291340},
5861 { 0.00000001031, 5.83082902191, 460.53844081980},
5862 { 0.00000000818, 0.74630905568, 1048.33622992530},
5863 { 0.00000000954, 5.17333118080, 263.70167161710},
5864 { 0.00000000804, 1.29176785836, 2847.52682690940},
5865 { 0.00000000816, 5.61212780797, 885.43971066640},
5866 { 0.00000000876, 3.52478548820, 10220.39909321180},
5867 { 0.00000000814, 0.18673966399, 2840.41327990860},
5868 { 0.00000000823, 5.54820600927, 3171.03224356680},
5869 { 0.00000000861, 4.39588667312, 552.58551477450},
5870 { 0.00000000791, 2.62306937203, 1912.57831194120},
5871 { 0.00000000754, 3.62688875653, 2648.45482547300},
5872 { 0.00000000852, 1.03470840672, 2620.00063746980},
5873 { 0.00000000791, 3.97836634968, 171.65459766240},
5874 { 0.00000000784, 5.95489308729, 561.93429400900},
5875 { 0.00000000972, 4.53754130765, 570.74476203920},
5876 { 0.00000000739, 3.57172839746, 775.23338944700},
5877 { 0.00000000874, 4.15274163736, 41.64449777560},
5878 { 0.00000000831, 1.41326596696, 287.93768165340},
5879 { 0.00000000707, 2.18372065037, 29.20494752860},
5880 { 0.00000000711, 0.00981284716, 2115.58246664070},
5881 { 0.00000000724, 1.54245854571, 201.99276274320},
5882 { 0.00000000939, 0.46037763932, 5488.86810538160},
5883 { 0.00000000939, 1.85473712038, 5062.26991450560},
5884 { 0.00000000724, 1.62856264107, 2200.51599359460},
5885 { 0.00000000706, 0.31965789145, 898.77303279070},
5886 { 0.00000000681, 6.01812948937, 91.78644152380},
5887 };
5888
5889
5890 static const struct ln_vsop saturn_radius_r2[RADIUS_R2] = {
5891 { 0.00436902572, 4.78671677509, 213.29909543800},
5892 { 0.00071922498, 2.50070069930, 206.18554843720},
5893 { 0.00049766872, 4.97167777235, 220.41264243880},
5894 { 0.00043220783, 3.86941044212, 426.59819087600},
5895 { 0.00029645766, 5.96309886479, 7.11354700080},
5896 { 0.00004141687, 4.10673009419, 433.71173787680},
5897 { 0.00004720822, 2.47524028389, 199.07200143640},
5898 { 0.00003789321, 3.09771189740, 639.89728631400},
5899 { 0.00002963981, 1.37198670946, 103.09277421860},
5900 { 0.00002556403, 2.85066948131, 419.48464387520},
5901 { 0.00002208473, 6.27590108662, 110.20632121940},
5902 { 0.00002187311, 5.85545017140, 14.22709400160},
5903 { 0.00001956779, 4.92451269861, 227.52618943960},
5904 { 0.00002326777, 0.00000000000, 0.00000000000},
5905 { 0.00000923829, 5.46389688910, 323.50541665740},
5906 { 0.00000705974, 2.97065900638, 95.97922721780},
5907 { 0.00000545943, 4.12843012325, 412.37109687440},
5908 { 0.00000373763, 5.83412146980, 117.31986822020},
5909 { 0.00000360843, 3.27730304283, 647.01083331480},
5910 { 0.00000356448, 3.19046275776, 210.11770170030},
5911 { 0.00000390607, 4.48122593284, 216.48048917570},
5912 { 0.00000431231, 5.17807636127, 522.57741809380},
5913 { 0.00000325474, 2.26775488379, 853.19638175200},
5914 { 0.00000404424, 4.17313476718, 209.36694217490},
5915 { 0.00000204458, 0.08803952503, 202.25339517410},
5916 { 0.00000206684, 4.02119282093, 735.87651353180},
5917 { 0.00000177973, 4.09718163123, 440.82528487760},
5918 { 0.00000179903, 3.59725930296, 632.78373931320},
5919 { 0.00000153635, 3.13514267989, 625.67019231240},
5920 { 0.00000147816, 0.13561171385, 302.16477565500},
5921 { 0.00000123132, 4.18808223900, 88.86568021700},
5922 { 0.00000132767, 2.59540724138, 191.95845443560},
5923 { 0.00000100365, 5.46047886103, 3.18139373770},
5924 { 0.00000131964, 5.93411082120, 309.27832265580},
5925 { 0.00000097129, 4.01875371334, 728.76296653100},
5926 { 0.00000110801, 4.78116393398, 838.96928775040},
5927 { 0.00000118896, 5.55283545372, 224.34479570190},
5928 { 0.00000093927, 4.38412535132, 217.23124870110},
5929 { 0.00000108788, 5.29339369085, 515.46387109300},
5930 { 0.00000078560, 5.72528816327, 21.34064100240},
5931 { 0.00000081356, 5.10874041756, 956.28915597060},
5932 { 0.00000096525, 6.25894400082, 742.99006053260},
5933 { 0.00000069181, 4.05005297120, 3.93215326310},
5934 { 0.00000064830, 3.78002548365, 1052.26838318840},
5935 { 0.00000063978, 5.81225801002, 529.69096509460},
5936 { 0.00000062365, 2.18095710071, 195.13984817330},
5937 { 0.00000057229, 3.14757658238, 203.00415469950},
5938 { 0.00000055804, 4.84263005967, 234.63973644040},
5939 { 0.00000053036, 5.07508755229, 330.61896365820},
5940 { 0.00000050918, 2.77244266104, 942.06206196900},
5941 { 0.00000044966, 0.58212370012, 269.92144674060},
5942 { 0.00000041393, 4.78657175977, 63.73589830340},
5943 { 0.00000041412, 3.73171033163, 316.39186965660},
5944 { 0.00000052786, 3.92075360300, 949.17560896980},
5945 { 0.00000038591, 3.74711996033, 1045.15483618760},
5946 { 0.00000037347, 4.19076534429, 536.80451209540},
5947 { 0.00000035490, 2.91778598255, 284.14854074220},
5948 { 0.00000033650, 3.80330571653, 149.56319713460},
5949 { 0.00000040900, 4.58137310079, 1155.36115740700},
5950 { 0.00000030568, 2.48114941443, 860.30992875280},
5951 { 0.00000031258, 4.84287013662, 1272.68102562720},
5952 { 0.00000039345, 3.51497594706, 422.66603761290},
5953 { 0.00000030267, 4.35601859659, 405.25754987360},
5954 { 0.00000029735, 1.58889278109, 1066.49547719000},
5955 { 0.00000035157, 5.94690982234, 1059.38193018920},
5956 { 0.00000025796, 3.55173788540, 1368.66025284500},
5957 { 0.00000026344, 4.80468984306, 124.43341522100},
5958 { 0.00000029862, 3.66430349958, 429.77958461370},
5959 { 0.00000032890, 4.96719279752, 831.85574074960},
5960 { 0.00000022072, 2.76570533706, 415.55249061210},
5961 { 0.00000026103, 4.45521807210, 223.59403617650},
5962 { 0.00000023925, 5.30856839441, 10.29494073850},
5963 { 0.00000027199, 1.66568373581, 277.03499374140},
5964 { 0.00000021600, 1.03111763332, 11.04570026390},
5965 { 0.00000019791, 2.53638693425, 1258.45393162560},
5966 { 0.00000017040, 3.27716162306, 654.12438031560},
5967 { 0.00000017345, 3.49852392962, 1361.54670584420},
5968 { 0.00000015726, 1.72390137596, 490.33408917940},
5969 { 0.00000020965, 3.62456217146, 1265.56747862640},
5970 { 0.00000017893, 4.30763518069, 1471.75302706360},
5971 { 0.00000013547, 0.32283926763, 295.05122865420},
5972 { 0.00000012646, 3.13027912532, 74.78159856730},
5973 { 0.00000015208, 3.59590956406, 265.98929347750},
5974 { 0.00000011701, 2.33365710225, 210.85141488320},
5975 { 0.00000015492, 5.01357631979, 127.47179660680},
5976 { 0.00000012792, 4.61580100969, 1589.07289528380},
5977 { 0.00000010737, 5.04941789777, 191.20769491020},
5978 { 0.00000014117, 3.04728052859, 423.41679713830},
5979 { 0.00000011052, 4.51972952811, 81.75213321620},
5980 { 0.00000013338, 4.88999937030, 437.64389113990},
5981 { 0.00000010549, 5.02936454854, 137.03302416240},
5982 { 0.00000014258, 4.69192994950, 1148.24761040620},
5983 { 0.00000013432, 1.91117077070, 408.43894361130},
5984 { 0.00000010094, 5.20250555714, 340.77089204480},
5985 { 0.00000010411, 3.33366465751, 1685.05212250160},
5986 { 0.00000009520, 3.19193162671, 351.81659230870},
5987 { 0.00000011397, 5.48081632887, 1375.77379984580},
5988 { 0.00000008777, 2.80839077219, 99.91138048090},
5989 { 0.00000008733, 3.22125033819, 1677.93857550080},
5990 { 0.00000007850, 2.36712432378, 1574.84580128220},
5991 { 0.00000007658, 6.08736238432, 231.45834270270},
5992 { 0.00000009222, 3.40983965001, 1581.95934828300},
5993 { 0.00000008222, 4.04654478628, 1788.14489672020},
5994 { 0.00000007179, 2.00932392414, 131.40394986990},
5995 { 0.00000007672, 3.69477797972, 846.08283475120},
5996 { 0.00000006723, 4.38526201358, 145.63104387150},
5997 { 0.00000006408, 1.31732334919, 215.74677599280},
5998 { 0.00000006290, 4.01002594556, 447.93883187840},
5999 { 0.00000007239, 3.29158763151, 750.10360753340},
6000 { 0.00000006054, 0.55440901153, 18.15924726470},
6001 { 0.00000005878, 4.48086148593, 106.27416795630},
6002 { 0.00000006140, 3.78862477414, 313.21047591890},
6003 { 0.00000006911, 4.84071390677, 319.57326339430},
6004 { 0.00000006823, 5.44107387955, 508.35032409220},
6005 { 0.00000006072, 2.90739860693, 138.51749687070},
6006 { 0.00000007309, 4.37976118424, 1464.63948006280},
6007 { 0.00000005615, 4.17617555150, 721.64941953020},
6008 { 0.00000005140, 2.65252687662, 288.08069400530},
6009 { 0.00000005311, 3.62520849510, 6076.89030155420},
6010 { 0.00000005193, 5.04861839155, 10007.09999777380},
6011 { 0.00000005472, 1.17083335740, 56.62235130260},
6012 { 0.00000005383, 4.35702878688, 1905.46476494040},
6013 { 0.00000005195, 4.18394941363, 543.91805909620},
6014 { 0.00000004765, 3.32372808126, 76.26607127560},
6015 { 0.00000004694, 6.25649673541, 483.22054217860},
6016 { 0.00000004519, 1.21202742896, 200.76892246580},
6017 { 0.00000004922, 3.14333262849, 2001.44399215820},
6018 { 0.00000004712, 1.26507812515, 6062.66320755260},
6019 { 0.00000004851, 2.42490640186, 628.85158605010},
6020 { 0.00000005155, 4.45128636150, 416.30325013750},
6021 { 0.00000004626, 2.68842971043, 9992.87290377220},
6022 { 0.00000004261, 2.01635516905, 347.88443904560},
6023 { 0.00000004843, 5.93693841859, 618.55664531160},
6024 { 0.00000004556, 0.75092365616, 333.65734504400},
6025 { 0.00000004249, 0.82449917175, 222.86032299360},
6026 { 0.00000004342, 0.96273515770, 343.21857259960},
6027 { 0.00000004444, 5.77025648302, 184.84490743480},
6028 { 0.00000004169, 2.95237909837, 107.02492748170},
6029 { 0.00000003894, 2.91997373157, 38.13303563780},
6030 { 0.00000003898, 1.97004731481, 497.44763618020},
6031 { 0.00000003994, 2.91478526694, 1994.33044515740},
6032 { 0.00000005097, 3.13189365474, 1898.35121793960},
6033 { 0.00000003629, 3.25010351543, 362.86229257260},
6034 { 0.00000003699, 4.17117563916, 430.53034413910},
6035 { 0.00000003560, 3.48224021080, 388.46515523820},
6036 { 0.00000003694, 0.89402011536, 703.63318461740},
6037 { 0.00000003606, 0.03487737820, 32.24332891440},
6038 { 0.00000003484, 1.83233211242, 70.84944530420},
6039 { 0.00000003611, 3.27859535883, 635.96513305090},
6040 { 0.00000003479, 1.96759778624, 203.73786788240},
6041 { 0.00000003390, 1.23134045790, 134.58534360760},
6042 { 0.00000003551, 3.29904637657, 357.44566660120},
6043 { 0.00000004236, 5.47583443571, 1692.16566950240},
6044 { 0.00000003289, 0.57265070971, 10213.28554621100},
6045 { 0.00000003247, 5.47801108148, 6283.07584999140},
6046 { 0.00000003125, 2.18412055759, 1891.23767093880},
6047 { 0.00000003319, 3.54362618400, 629.60234557550},
6048 { 0.00000003030, 3.91108704620, 312.19908396260},
6049 { 0.00000004163, 5.19007572863, 404.50679034820},
6050 { 0.00000004076, 4.10841252077, 1781.03134971940},
6051 { 0.00000003774, 3.80557045886, 2104.53676637680},
6052 { 0.00000003206, 3.89813077889, 1038.04128918680},
6053 { 0.00000002872, 2.19770396420, 217.96496188400},
6054 { 0.00000003294, 5.62584228838, 113.38771495710},
6055 { 0.00000003157, 2.95571558329, 52.69019803950},
6056 { 0.00000002888, 2.56166067768, 867.42347575360},
6057 { 0.00000002860, 2.34237875942, 181.05576652360},
6058 { 0.00000003180, 4.22909289398, 337.73251065900},
6059 { 0.00000002899, 5.12520635604, 312.45971639350},
6060 { 0.00000002998, 5.44837420714, 258.87574647670},
6061 { 0.00000003032, 4.11818125540, 1478.86657406440},
6062 { 0.00000003013, 1.61330987129, 1073.60902419080},
6063 { 0.00000002716, 3.14448153596, 358.93013930950},
6064 { 0.00000002765, 6.16872527649, 273.10284047830},
6065 { 0.00000002766, 1.01040617017, 1279.79457262800},
6066 { 0.00000003082, 5.60019300569, 216.21985674480},
6067 { 0.00000003254, 3.92690377039, 85.82729883120},
6068 { 0.00000002661, 2.31705497350, 565.11568774670},
6069 { 0.00000002771, 5.77771382441, 160.60889739850},
6070 { 0.00000002452, 5.31997974830, 444.75743814070},
6071 { 0.00000002410, 0.00880493603, 195.89060769870},
6072 { 0.00000002810, 1.68907631956, 213.34727954780},
6073 { 0.00000002811, 4.77447520427, 213.25091132820},
6074 { 0.00000002434, 4.76729826936, 218.71572140940},
6075 { 0.00000003133, 2.49319891100, 6069.77675455340},
6076 { 0.00000002884, 0.32368080181, 561.18353448360},
6077 { 0.00000002784, 4.19942485410, 650.94298657790},
6078 { 0.00000002554, 5.04372588100, 1169.58825140860},
6079 { 0.00000002981, 3.91292350334, 9999.98645077300},
6080 { 0.00000002631, 1.12699455399, 344.70304530790},
6081 { 0.00000002678, 5.09176744531, 824.74219374880},
6082 { 0.00000002679, 1.68971401870, 208.63322899200},
6083 { 0.00000002648, 2.94415462727, 643.07868005170},
6084 { 0.00000002120, 2.31088616664, 2627.11418447060},
6085 { 0.00000002118, 3.28098774331, 320.32402291970},
6086 { 0.00000002226, 4.08089457879, 131.54696222180},
6087 { 0.00000002553, 3.43332044217, 6275.96230299060},
6088 { 0.00000002670, 3.55722356494, 2420.92863603340},
6089 { 0.00000002005, 2.02382593901, 144.14657116320},
6090 { 0.00000002124, 1.61210282593, 218.92816973050},
6091 { 0.00000002444, 2.95506585634, 2214.74308759620},
6092 { 0.00000001995, 3.54870355383, 22.09140052780},
6093 { 0.00000001938, 4.22895382496, 546.95644048200},
6094 { 0.00000002152, 3.95372746872, 1795.25844372100},
6095 { 0.00000001909, 0.85189037198, 121.25202148330},
6096 { 0.00000001925, 2.91107035422, 636.71589257630},
6097 { 0.00000002195, 3.74800214181, 436.89313161450},
6098 { 0.00000001872, 4.66994466499, 188.02630117250},
6099 { 0.00000002061, 2.87712309214, 2310.72231481400},
6100 { 0.00000002208, 4.83492066978, 1141.13406340540},
6101 { 0.00000002135, 3.00526791204, 2317.83586181480},
6102 { 0.00000001816, 2.80175511920, 291.26208774300},
6103 { 0.00000001897, 1.68036754832, 350.33211960040},
6104 { 0.00000002279, 5.43456146966, 207.88246946660},
6105 { 0.00000001769, 3.54746039561, 329.72519178090},
6106 { 0.00000001759, 1.64172549261, 424.15051032120},
6107 { 0.00000001848, 2.24194286719, 168.05251279940},
6108 { 0.00000001779, 1.36026967744, 212.33588759150},
6109 { 0.00000002106, 4.22304768571, 2221.85663459700},
6110 { 0.00000001711, 1.92063117332, 129.91947716160},
6111 { 0.00000002223, 5.23762818237, 99.16062095550},
6112 { 0.00000001781, 3.29852655586, 1670.82502850000},
6113 { 0.00000001766, 3.55341010945, 1354.43315884340},
6114 { 0.00000002051, 3.73308531316, 2097.42321937600},
6115 { 0.00000001691, 5.10160176441, 214.26230328450},
6116 { 0.00000001757, 4.60923293699, 182.27960680100},
6117 { 0.00000001733, 5.28757672531, 45.57665103870},
6118 { 0.00000001977, 4.85653036081, 10206.17199921020},
6119 { 0.00000001567, 4.47742703992, 210.37833413120},
6120 { 0.00000001551, 2.15558953807, 207.67002114550},
6121 { 0.00000001779, 3.40399834670, 2428.04218303420},
6122 { 0.00000001541, 6.09374778360, 554.06998748280},
6123 { 0.00000001821, 4.15498729351, 225.82926841020},
6124 { 0.00000001483, 1.31282416766, 219.44943459230},
6125 { 0.00000001456, 5.90544857131, 1.48447270830},
6126 { 0.00000001560, 1.01224093587, 235.39049596580},
6127 { 0.00000001753, 0.10174553335, 12.53017297220},
6128 { 0.00000001461, 2.45326772796, 305.34616939270},
6129 { 0.00000001542, 5.51223038941, 204.70107572890},
6130 { 0.00000001723, 5.94689036034, 196.62432088160},
6131 { 0.00000001508, 0.72241135463, 429.04587143080},
6132 { 0.00000001581, 2.64780225512, 207.14875628370},
6133 { 0.00000001476, 6.12782257368, 212.77783057620},
6134 { 0.00000001548, 0.53240818911, 120.35824960600},
6135 { 0.00000001474, 0.33626790634, 213.82036029980},
6136 { 0.00000001370, 5.51600816906, 92.79783348010},
6137 { 0.00000001428, 3.25039966249, 945.99421523210},
6138 { 0.00000001444, 5.69264187185, 1485.98012106520},
6139 { 0.00000001329, 1.97967282090, 198.32124191100},
6140 { 0.00000001752, 2.70090942746, 12.74262129330},
6141 { 0.00000001317, 1.73769800248, 1382.88734684660},
6142 { 0.00000001434, 4.37660077473, 5863.59120611620},
6143 { 0.00000001408, 0.80461100746, 1585.14074202070},
6144 { 0.00000001271, 5.70165238307, 2.92076130680},
6145 { 0.00000001313, 5.57979182873, 128.36556848410},
6146 { 0.00000001250, 0.35839694485, 334.55111692130},
6147 { 0.00000001337, 3.27439246509, 193.65537546500},
6148 { 0.00000001298, 6.18760666624, 526.50957135690},
6149 { 0.00000001319, 5.67233796212, 298.23262239190},
6150 { 0.00000001346, 5.79997037285, 9793.80090233580},
6151 { 0.00000001402, 3.16235877831, 175.16605980020},
6152 { 0.00000001202, 2.88792018909, 2413.81508903260},
6153 { 0.00000001562, 5.00012041556, 2008.55753915900},
6154 { 0.00000001354, 0.94866727482, 217.49188113200},
6155 { 0.00000001292, 5.13478886171, 1162.47470440780},
6156 { 0.00000001197, 1.74106457854, 2207.62954059540},
6157 { 0.00000001281, 0.47848987165, 525.49817940060},
6158 { 0.00000001244, 5.99520374248, 28.45418800320},
6159 { 0.00000001148, 2.17212855226, 1055.44977692610},
6160 { 0.00000001282, 6.12823934151, 1802.37199072180},
6161 { 0.00000001304, 0.37337923280, 3473.19701922180},
6162 { 0.00000001215, 3.87917402622, 209.10630974400},
6163 { 0.00000001117, 3.33328660827, 661.23792731640},
6164 { 0.00000001367, 1.00973749169, 621.73803904930},
6165 { 0.00000001395, 3.82109633863, 2111.65031337760},
6166 { 0.00000001279, 2.87401595453, 142.44965013380},
6167 { 0.00000001081, 4.11745082549, 156.67674413540},
6168 { 0.00000001094, 0.95082594069, 842.15068148810},
6169 { 0.00000001295, 4.70261675421, 9786.68735533500},
6170 { 0.00000001238, 0.48462207051, 3906.90875709860},
6171 { 0.00000001011, 2.15806773600, 251.43213107580},
6172 { 0.00000001276, 4.48356586181, 732.69511979410},
6173 { 0.00000001316, 4.72331667671, 398.14400287280},
6174 { 0.00000000980, 1.88269080686, 501.37978944330},
6175 { 0.00000000962, 5.92160366799, 519.39602435610},
6176 { 0.00000001182, 3.69482624364, 2854.64037391020},
6177 { 0.00000000945, 4.87513739959, 241.75328344120},
6178 { 0.00000000970, 2.89031410383, 1987.21689815660},
6179 { 0.00000001194, 3.26293060096, 5856.47765911540},
6180 { 0.00000000936, 5.49997099924, 739.05790726950},
6181 { 0.00000001129, 5.17087619935, 98.89998852460},
6182 { 0.00000001024, 5.62644279982, 479.28838891550},
6183 { 0.00000001129, 5.48559615849, 3995.77443731560},
6184 { 0.00000000978, 5.31362529668, 114.13847448250},
6185 { 0.00000001167, 2.19961653985, 1699.27921650320},
6186 { 0.00000000864, 0.25714937203, 436.15941843160},
6187 { 0.00000001062, 5.13323858077, 2751.54759969160},
6188 { 0.00000000947, 4.98276726039, 699.70103135430},
6189 { 0.00000000886, 3.03398159069, 306.09692891810},
6190 { 0.00000000916, 4.99280834008, 4209.07353275360},
6191 { 0.00000001048, 0.86254115639, 525.75881183150},
6192 { 0.00000000894, 2.41362473223, 289.56516671360},
6193 { 0.00000000800, 1.26419353964, 710.74673161820},
6194 { 0.00000000791, 2.14989417962, 2620.00063746980},
6195 { 0.00000000795, 2.09247626825, 563.63121503840},
6196 { 0.00000000787, 5.25336286912, 214.78356814630},
6197 { 0.00000000783, 1.29408648806, 685.47393735270},
6198 { 0.00000001060, 1.56954240117, 5849.36411211460},
6199 { 0.00000000784, 5.30418962830, 327.43756992050},
6200 { 0.00000000764, 4.56705124334, 380.12776796000},
6201 { 0.00000000811, 6.20098147255, 245.54242435240},
6202 { 0.00000000857, 1.78247179649, 135.33610313300},
6203 { 0.00000000801, 1.86383119100, 3039.48528134500},
6204 { 0.00000000801, 0.46947170994, 3466.08347222100},
6205 { 0.00000000968, 3.02618272726, 2634.22773147140},
6206 { 0.00000000814, 1.96028453251, 417.03696332040},
6207 { 0.00000000810, 4.13540095430, 831.10498122420},
6208 { 0.00000000739, 2.27110740297, 2303.60876781320},
6209 { 0.00000000747, 0.29245063260, 916.93228005540},
6210 { 0.00000000889, 4.44997608522, 230.70758317730},
6211 { 0.00000000726, 2.54556193643, 576.16138801060},
6212 { 0.00000000982, 1.94714680471, 229.97386999440},
6213 { 0.00000000728, 1.11567846944, 540.73666535850},
6214 { 0.00000000728, 1.30997967935, 511.53171782990},
6215 { 0.00000000711, 4.55074874644, 980.66817835880},
6216 { 0.00000000716, 3.74192651696, 3053.71237534660},
6217 { 0.00000000769, 3.34498423969, 953.10776223290},
6218 { 0.00000000920, 3.83992182117, 348.63519857100},
6219 { 0.00000000789, 3.15830383443, 739.80866679490},
6220 { 0.00000000896, 4.82222996928, 4216.18707975440},
6221 { 0.00000000712, 0.43380103197, 1493.09366806600},
6222 { 0.00000000840, 4.85251148183, 326.68681039510},
6223 { 0.00000000724, 0.75790117400, 486.40193591630},
6224 { 0.00000000790, 0.48073040004, 4017.11507831800},
6225 { 0.00000000831, 3.48853527081, 84.93352695390},
6226 { 0.00000000745, 6.22304530635, 1269.49963188950},
6227 { 0.00000000679, 0.78943373396, 273.85360000370},
6228 { 0.00000000932, 5.20456188216, 849.26422848890},
6229 };
6230
6231
6232 static const struct ln_vsop saturn_radius_r3[RADIUS_R3] = {
6233 { 0.00020315239, 3.02186068237, 213.29909543800},
6234 { 0.00008923679, 3.19144467228, 220.41264243880},
6235 { 0.00006908768, 4.35175288182, 206.18554843720},
6236 { 0.00004087056, 4.22398596149, 7.11354700080},
6237 { 0.00003878848, 2.01051759517, 426.59819087600},
6238 { 0.00001070754, 4.20372656114, 199.07200143640},
6239 { 0.00000907379, 2.28356519128, 433.71173787680},
6240 { 0.00000605936, 3.17456913264, 227.52618943960},
6241 { 0.00000596411, 4.13395467306, 14.22709400160},
6242 { 0.00000483108, 1.17313249713, 639.89728631400},
6243 { 0.00000393213, 0.00000000000, 0.00000000000},
6244 { 0.00000229396, 4.69783424016, 419.48464387520},
6245 { 0.00000187917, 4.59089264920, 110.20632121940},
6246 { 0.00000149326, 3.20334759568, 103.09277421860},
6247 { 0.00000121613, 3.76751430846, 323.50541665740},
6248 { 0.00000101300, 5.81716272185, 412.37109687440},
6249 { 0.00000102030, 4.70997918436, 95.97922721780},
6250 { 0.00000092737, 1.43601934858, 647.01083331480},
6251 { 0.00000072411, 4.15100432048, 117.31986822020},
6252 { 0.00000084197, 2.63457296718, 216.48048917570},
6253 { 0.00000061913, 2.31131212952, 440.82528487760},
6254 { 0.00000045220, 4.37634609863, 191.95845443560},
6255 { 0.00000049426, 2.38844043734, 209.36694217490},
6256 { 0.00000054819, 0.30627159494, 853.19638175200},
6257 { 0.00000040466, 1.83906916098, 302.16477565500},
6258 { 0.00000038104, 5.93442433914, 88.86568021700},
6259 { 0.00000032001, 4.01244131364, 21.34064100240},
6260 { 0.00000040737, 0.68516563011, 522.57741809380},
6261 { 0.00000028116, 5.76512437390, 210.11770170030},
6262 { 0.00000024831, 3.06280485014, 234.63973644040},
6263 { 0.00000025254, 0.73965366740, 515.46387109300},
6264 { 0.00000020713, 4.92639343420, 625.67019231240},
6265 { 0.00000017714, 5.72683468372, 728.76296653100},
6266 { 0.00000018131, 1.43975542803, 309.27832265580},
6267 { 0.00000016495, 3.52692613051, 3.18139373770},
6268 { 0.00000012918, 3.36684920510, 330.61896365820},
6269 { 0.00000011094, 3.37261850494, 224.34479570190},
6270 { 0.00000010869, 3.43386860676, 956.28915597060},
6271 { 0.00000010016, 1.59530701443, 202.25339517410},
6272 { 0.00000011527, 5.96454139918, 735.87651353180},
6273 { 0.00000010427, 6.07038986657, 405.25754987360},
6274 { 0.00000009198, 2.93495179548, 124.43341522100},
6275 { 0.00000008733, 4.65644352017, 632.78373931320},
6276 { 0.00000009909, 0.58906585168, 860.30992875280},
6277 { 0.00000007397, 4.53722615699, 942.06206196900},
6278 { 0.00000009877, 0.25973572185, 838.96928775040},
6279 { 0.00000009223, 2.57680550459, 223.59403617650},
6280 { 0.00000007483, 1.46542234710, 654.12438031560},
6281 { 0.00000008102, 1.77706845061, 429.77958461370},
6282 { 0.00000007173, 5.49665397606, 1045.15483618760},
6283 { 0.00000006882, 1.47851183871, 422.66603761290},
6284 { 0.00000007832, 0.44349627838, 831.85574074960},
6285 { 0.00000008107, 4.50187795175, 742.99006053260},
6286 { 0.00000006920, 4.81164954413, 316.39186965660},
6287 { 0.00000008075, 4.21886190434, 195.13984817330},
6288 { 0.00000005803, 2.35419372850, 269.92144674060},
6289 { 0.00000005616, 1.20479876549, 284.14854074220},
6290 { 0.00000005782, 4.19740457842, 529.69096509460},
6291 { 0.00000004920, 2.16694660987, 295.05122865420},
6292 { 0.00000005415, 2.47123991920, 536.80451209540},
6293 { 0.00000005965, 6.06077183500, 1066.49547719000},
6294 { 0.00000005490, 0.84597599620, 217.23124870110},
6295 { 0.00000005849, 3.40892096038, 10.29494073850},
6296 { 0.00000004178, 3.22951777344, 1272.68102562720},
6297 { 0.00000004391, 0.88818379722, 203.00415469950},
6298 { 0.00000003566, 6.23461945528, 81.75213321620},
6299 { 0.00000004005, 0.12257495486, 1155.36115740700},
6300 { 0.00000003099, 4.35795864442, 1258.45393162560},
6301 { 0.00000003394, 0.86274027413, 508.35032409220},
6302 { 0.00000003447, 0.20752334492, 1148.24761040620},
6303 { 0.00000003642, 5.97995786501, 1052.26838318840},
6304 { 0.00000003059, 4.96923422399, 1677.93857550080},
6305 { 0.00000002893, 1.90456088258, 149.56319713460},
6306 { 0.00000002740, 5.70053888010, 3.93215326310},
6307 { 0.00000003014, 5.36409568893, 1361.54670584420},
6308 { 0.00000002608, 2.99591016813, 1589.07289528380},
6309 { 0.00000002464, 2.25182696243, 447.93883187840},
6310 { 0.00000002295, 3.77182395165, 408.43894361130},
6311 { 0.00000002449, 5.87771646576, 721.64941953020},
6312 { 0.00000002441, 3.18918907436, 319.57326339430},
6313 { 0.00000001967, 1.29771144286, 184.84490743480},
6314 { 0.00000002510, 4.26899907719, 1059.38193018920},
6315 { 0.00000002337, 5.73749856685, 313.21047591890},
6316 { 0.00000002438, 2.20340625323, 543.91805909620},
6317 { 0.00000001967, 5.54991356049, 1038.04128918680},
6318 { 0.00000002159, 6.13002461326, 1464.63948006280},
6319 { 0.00000002033, 6.23409374980, 1471.75302706360},
6320 { 0.00000001679, 0.53404387418, 635.96513305090},
6321 { 0.00000001667, 2.31776149711, 337.73251065900},
6322 { 0.00000001743, 4.57646237847, 1994.33044515740},
6323 { 0.00000001913, 5.17436386408, 2854.64037391020},
6324 { 0.00000001612, 0.53564663022, 416.30325013750},
6325 { 0.00000001660, 5.71352144007, 11.04570026390},
6326 { 0.00000002034, 1.58251242401, 750.10360753340},
6327 { 0.00000001577, 0.55789908488, 2324.94940881560},
6328 { 0.00000001659, 2.57526072926, 2090.30967237520},
6329 { 0.00000001483, 0.02105633480, 490.33408917940},
6330 { 0.00000001424, 0.96656932678, 415.55249061210},
6331 { 0.00000001677, 5.93355681450, 1781.03134971940},
6332 { 0.00000001632, 2.35226638604, 131.54696222180},
6333 { 0.00000001402, 0.60008117843, 210.85141488320},
6334 { 0.00000001677, 6.13301097969, 1073.60902419080},
6335 { 0.00000001478, 3.89120179199, 1251.34038462480},
6336 { 0.00000001773, 0.03977695852, 423.41679713830},
6337 { 0.00000001442, 5.32547705924, 2538.24850425360},
6338 { 0.00000001490, 5.26389041723, 1354.43315884340},
6339 { 0.00000001610, 3.02368875538, 437.64389113990},
6340 { 0.00000001462, 3.28599831588, 1884.12412393800},
6341 { 0.00000001346, 5.09589748079, 25.27279426550},
6342 { 0.00000001480, 0.47735175322, 824.74219374880},
6343 { 0.00000001312, 3.79347668996, 1567.73225428140},
6344 { 0.00000001335, 1.74107324653, 195.89060769870},
6345 { 0.00000001329, 3.20676992162, 2207.62954059540},
6346 { 0.00000001252, 4.12592480127, 1574.84580128220},
6347 { 0.00000001526, 1.83391016543, 436.89313161450},
6348 { 0.00000001204, 5.83523069063, 215.74677599280},
6349 { 0.00000001431, 2.26632806642, 2420.92863603340},
6350 { 0.00000001202, 0.89248153731, 127.47179660680},
6351 { 0.00000001403, 1.02096357086, 643.07868005170},
6352 { 0.00000001176, 3.91611015213, 1891.23767093880},
6353 { 0.00000001137, 0.35727698514, 497.44763618020},
6354 { 0.00000001117, 6.17430918265, 63.73589830340},
6355 { 0.00000001138, 0.82455844655, 867.42347575360},
6356 { 0.00000001145, 3.10797488346, 2200.51599359460},
6357 { 0.00000001082, 3.72589445510, 131.40394986990},
6358 { 0.00000001387, 1.42954726378, 2634.22773147140},
6359 { 0.00000001311, 1.45489259116, 430.53034413910},
6360 { 0.00000001003, 1.81530935794, 618.55664531160},
6361 { 0.00000001219, 5.39420447728, 1279.79457262800},
6362 { 0.00000001342, 5.63184874016, 1382.88734684660},
6363 { 0.00000000943, 2.27529460454, 1478.86657406440},
6364 { 0.00000001034, 4.72095936110, 1987.21689815660},
6365 { 0.00000000910, 4.75468748593, 113.38771495710},
6366 { 0.00000000901, 5.71833080761, 265.98929347750},
6367 { 0.00000001017, 3.79640287208, 1375.77379984580},
6368 { 0.00000000887, 2.86363894581, 934.94851496820},
6369 { 0.00000000914, 3.03946255874, 241.75328344120},
6370 { 0.00000000879, 2.65659265685, 145.63104387150},
6371 { 0.00000001082, 4.48298283322, 2214.74308759620},
6372 { 0.00000000968, 4.18488402192, 231.45834270270},
6373 { 0.00000000888, 5.98816755324, 2524.02141025200},
6374 { 0.00000000809, 2.89742868175, 2008.55753915900},
6375 { 0.00000000872, 5.95699654230, 1368.66025284500},
6376 { 0.00000000814, 6.26605263515, 2015.67108615980},
6377 { 0.00000000990, 5.32604038017, 2428.04218303420},
6378 { 0.00000000795, 2.38178135810, 2228.97018159780},
6379 { 0.00000000765, 4.70033674940, 1670.82502850000},
6380 { 0.00000000719, 3.14082277075, 56.62235130260},
6381 { 0.00000000725, 5.87999254075, 1685.05212250160},
6382 { 0.00000000772, 1.15596098579, 3053.71237534660},
6383 { 0.00000000944, 4.19194509927, 1802.37199072180},
6384 { 0.00000000823, 0.15294957676, 1141.13406340540},
6385 { 0.00000000738, 4.90593328066, 1485.98012106520},
6386 { 0.00000000685, 1.70083536518, 483.22054217860},
6387 };
6388
6389
6390 static const struct ln_vsop saturn_radius_r4[RADIUS_R4] = {
6391 { 0.00001202117, 1.41498340225, 220.41264243880},
6392 { 0.00000707794, 1.16151449537, 213.29909543800},
6393 { 0.00000516224, 6.24049105350, 206.18554843720},
6394 { 0.00000426107, 2.46891791825, 7.11354700080},
6395 { 0.00000267495, 0.18644716875, 426.59819087600},
6396 { 0.00000170055, 5.96000580678, 199.07200143640},
6397 { 0.00000144813, 1.44265291294, 227.52618943960},
6398 { 0.00000150056, 0.47968186381, 433.71173787680},
6399 { 0.00000121067, 2.40476128629, 14.22709400160},
6400 { 0.00000047503, 5.56874777537, 639.89728631400},
6401 { 0.00000015651, 2.89076603229, 110.20632121940},
6402 { 0.00000016364, 0.53928792415, 440.82528487760},
6403 { 0.00000018973, 5.85514753020, 647.01083331480},
6404 { 0.00000014490, 1.31356947305, 412.37109687440},
6405 { 0.00000012310, 2.10618416544, 323.50541665740},
6406 { 0.00000014688, 0.29685965949, 419.48464387520},
6407 { 0.00000010893, 2.45288604864, 117.31986822020},
6408 { 0.00000011348, 0.17490312278, 95.97922721780},
6409 { 0.00000009210, 2.30108004686, 21.34064100240},
6410 { 0.00000009007, 1.55461797818, 88.86568021700},
6411 { 0.00000008089, 3.62570131736, 302.16477565500},
6412 { 0.00000008668, 0.69662054025, 216.48048917570},
6413 { 0.00000007794, 4.50477684881, 853.19638175200},
6414 { 0.00000008261, 1.27827363929, 234.63973644040},
6415 { 0.00000009616, 3.14159265359, 0.00000000000},
6416 { 0.00000004937, 2.61740899859, 515.46387109300},
6417 { 0.00000004365, 0.05807483283, 191.95845443560},
6418 { 0.00000005944, 5.17118993601, 103.09277421860},
6419 { 0.00000003675, 3.26106349552, 210.11770170030},
6420 { 0.00000004387, 4.98731675488, 860.30992875280},
6421 { 0.00000004001, 1.58149127982, 330.61896365820},
6422 { 0.00000003875, 6.01795427919, 654.12438031560},
6423 { 0.00000003956, 1.58112427915, 405.25754987360},
6424 { 0.00000002962, 2.67872711614, 522.57741809380},
6425 { 0.00000002961, 0.73625753769, 209.36694217490},
6426 { 0.00000003102, 1.28964935689, 728.76296653100},
6427 { 0.00000002266, 3.17206848552, 203.00415469950},
6428 { 0.00000002160, 1.08089139585, 124.43341522100},
6429 { 0.00000002118, 6.14470291334, 429.77958461370},
6430 { 0.00000002066, 3.92049451838, 1066.49547719000},
6431 { 0.00000002211, 0.80527848095, 625.67019231240},
6432 { 0.00000002147, 0.49411458094, 447.93883187840},
6433 { 0.00000001927, 0.78578237497, 295.05122865420},
6434 { 0.00000001793, 0.12585846743, 942.06206196900},
6435 { 0.00000001706, 1.43840425376, 224.34479570190},
6436 { 0.00000001986, 1.95084664432, 831.85574074960},
6437 { 0.00000001600, 5.41185167676, 824.74219374880},
6438 { 0.00000001717, 0.83103173636, 223.59403617650},
6439 { 0.00000001598, 1.93650947414, 529.69096509460},
6440 { 0.00000001303, 5.54181517607, 316.39186965660},
6441 { 0.00000001288, 1.91850903205, 956.28915597060},
6442 { 0.00000001184, 3.02295343322, 184.84490743480},
6443 { 0.00000001234, 0.93431249316, 721.64941953020},
6444 { 0.00000001212, 6.13915785712, 422.66603761290},
6445 { 0.00000001249, 5.97947803636, 195.13984817330},
6446 { 0.00000001142, 0.96309096169, 536.80451209540},
6447 { 0.00000001011, 1.14653787675, 838.96928775040},
6448 { 0.00000001031, 1.15377008428, 1148.24761040620},
6449 { 0.00000001109, 1.63414938335, 17.40848773930},
6450 { 0.00000001094, 0.98475168289, 1045.15483618760},
6451 { 0.00000000985, 3.05768671768, 1574.84580128220},
6452 { 0.00000000887, 2.52072621499, 508.35032409220},
6453 { 0.00000000986, 1.63414986297, 735.87651353180},
6454 { 0.00000000753, 4.90938931967, 56.62235130260},
6455 { 0.00000000791, 2.74375014558, 423.41679713830},
6456 };
6457
6458
6459 static const struct ln_vsop saturn_radius_r5[RADIUS_R5] = {
6460 { 0.00000128668, 5.91279864289, 220.41264243880},
6461 { 0.00000032196, 0.69558284384, 7.11354700080},
6462 { 0.00000026737, 5.91270395039, 227.52618943960},
6463 { 0.00000019837, 0.67396852960, 14.22709400160},
6464 { 0.00000019994, 4.95031713518, 433.71173787680},
6465 { 0.00000013627, 1.47747814594, 199.07200143640},
6466 { 0.00000013706, 4.59824754628, 426.59819087600},
6467 { 0.00000014068, 2.63892426573, 206.18554843720},
6468 { 0.00000007324, 4.64667642371, 213.29909543800},
6469 { 0.00000004916, 3.63019930267, 639.89728631400},
6470 { 0.00000002985, 4.64378755577, 191.95845443560},
6471 { 0.00000002675, 0.51742057647, 323.50541665740},
6472 { 0.00000003420, 4.91489841099, 440.82528487760},
6473 { 0.00000003171, 4.10118061147, 647.01083331480},
6474 { 0.00000002885, 3.24108476164, 419.48464387520},
6475 { 0.00000002173, 5.39877301813, 302.16477565500},
6476 { 0.00000001873, 3.22101902976, 95.97922721780},
6477 { 0.00000002055, 3.60842101774, 88.86568021700},
6478 { 0.00000001509, 2.68946095921, 853.19638175200},
6479 { 0.00000001518, 0.89692431439, 515.46387109300},
6480 { 0.00000001737, 0.41793799128, 117.31986822020},
6481 { 0.00000001640, 0.00000000000, 0.00000000000},
6482 { 0.00000001285, 5.82563377753, 234.63973644040},
6483 { 0.00000000983, 5.91256391941, 3.18139373770},
6484 { 0.00000001054, 0.20778977120, 412.37109687440},
6485 { 0.00000000719, 5.20973072924, 216.48048917570},
6486 { 0.00000000706, 2.65805151133, 110.20632121940},
6487 };
6488
6489 /*! \fn void ln_get_saturn_equ_coords (double JD, struct ln_equ_posn * position);
6490 * \param JD julian Day
6491 * \param position Pointer to store position
6492 *
6493 * Calculates Saturn's equatorial position for given julian day.
6494 * This function includes calculations for planetary aberration and refers
6495 * to the FK5 reference frame.
6496 *
6497 * To get the complete equatorial coordinates, corrections for nutation
6498 * have to be applied.
6499 *
6500 * The position returned is accurate to within 0.1 arcsecs..
6501 */
ln_get_saturn_equ_coords(double JD,struct ln_equ_posn * position)6502 void ln_get_saturn_equ_coords (double JD, struct ln_equ_posn * position)
6503 {
6504 struct ln_helio_posn h_sol, h_saturn;
6505 struct ln_rect_posn g_sol, g_saturn;
6506 double a,b,c;
6507 double ra, dec, delta, diff, last, t = 0;
6508
6509 /* need typdef for solar heliocentric coords */
6510 ln_get_solar_geom_coords (JD, &h_sol);
6511 ln_get_rect_from_helio (&h_sol, &g_sol);
6512
6513 do {
6514 last = t;
6515 ln_get_saturn_helio_coords (JD - t, &h_saturn);
6516 ln_get_rect_from_helio (&h_saturn, &g_saturn);
6517
6518 /* equ 33.10 pg 229 */
6519 a = g_sol.X + g_saturn.X;
6520 b = g_sol.Y + g_saturn.Y;
6521 c = g_sol.Z + g_saturn.Z;
6522
6523 delta = a*a + b*b + c*c;
6524 delta = sqrt (delta);
6525 t = delta * 0.0057755183;
6526 diff = t - last;
6527 } while (diff > 0.0001 || diff < -0.0001);
6528
6529 ra = atan2 (b,a);
6530 dec = c / delta;
6531 dec = asin (dec);
6532
6533 /* back to hours, degrees */
6534 position->ra = ln_range_degrees(ln_rad_to_deg (ra));
6535 position->dec = ln_rad_to_deg (dec);
6536 }
6537
6538 /*! \fn void ln_get_saturn_helio_coords (double JD, struct ln_helio_posn * position)
6539 * \param JD Julian Day
6540 * \param position Pointer to store heliocentric position
6541 *
6542 * Calculate Saturns heliocentric (refered to the centre of the Sun) coordinates
6543 * in the FK5 reference frame for the given julian day.
6544 * Longitude and Latitude are in degrees, whilst radius vector is in AU.
6545 */
6546 /* Chapter 31 Pg 206-207 Equ 31.1 31.2 , 31.3 using VSOP 87
6547 */
ln_get_saturn_helio_coords(double JD,struct ln_helio_posn * position)6548 void ln_get_saturn_helio_coords (double JD, struct ln_helio_posn * position)
6549 {
6550 double t, t2, t3, t4, t5;
6551 double L0, L1, L2, L3, L4, L5;
6552 double B0, B1, B2, B3, B4, B5;
6553 double R0, R1, R2, R3, R4, R5;
6554
6555 /* check cache first */
6556 if (JD == cJD) {
6557 /* cache hit */
6558 position->L = cL;
6559 position->B = cB;
6560 position->R = cR;
6561 return;
6562 }
6563
6564 /* get julian ephemeris day */
6565 t = (JD - 2451545.0) / 365250;
6566 t2 = t * t;
6567 t3 = t2 * t;
6568 t4 = t3 * t;
6569 t5 = t4 * t;
6570
6571 /* calc L series */
6572 L0 = ln_calc_series (saturn_longitude_l0, LONG_L0, t);
6573 L1 = ln_calc_series (saturn_longitude_l1, LONG_L1, t);
6574 L2 = ln_calc_series (saturn_longitude_l2, LONG_L2, t);
6575 L3 = ln_calc_series (saturn_longitude_l3, LONG_L3, t);
6576 L4 = ln_calc_series (saturn_longitude_l4, LONG_L4, t);
6577 L5 = ln_calc_series (saturn_longitude_l5, LONG_L5, t);
6578 position->L = (L0 + L1 * t + L2 * t2 + L3 * t3 + L4 * t4 + L5 * t5);
6579
6580 /* calc B series */
6581 B0 = ln_calc_series (saturn_latitude_b0, LAT_B0, t);
6582 B1 = ln_calc_series (saturn_latitude_b1, LAT_B1, t);
6583 B2 = ln_calc_series (saturn_latitude_b2, LAT_B2, t);
6584 B3 = ln_calc_series (saturn_latitude_b3, LAT_B3, t);
6585 B4 = ln_calc_series (saturn_latitude_b4, LAT_B4, t);
6586 B5 = ln_calc_series (saturn_latitude_b5, LAT_B5, t);
6587 position->B = (B0 + B1 * t + B2 * t2 + B3 * t3 + B4 * t4 + B5 * t5);
6588
6589
6590 /* calc R series */
6591 R0 = ln_calc_series (saturn_radius_r0, RADIUS_R0, t);
6592 R1 = ln_calc_series (saturn_radius_r1, RADIUS_R1, t);
6593 R2 = ln_calc_series (saturn_radius_r2, RADIUS_R2, t);
6594 R3 = ln_calc_series (saturn_radius_r3, RADIUS_R3, t);
6595 R4 = ln_calc_series (saturn_radius_r4, RADIUS_R4, t);
6596 R5 = ln_calc_series (saturn_radius_r5, RADIUS_R5, t);
6597 position->R = (R0 + R1 * t + R2 * t2 + R3 * t3 + R4 * t4 + R5 * t5);
6598
6599 /* change to degrees in correct quadrant */
6600 position->L = ln_rad_to_deg(position->L);
6601 position->B = ln_rad_to_deg(position->B);
6602 position->L = ln_range_degrees(position->L);
6603
6604 /* change to fk5 reference frame */
6605 ln_vsop87_to_fk5 (position, JD);
6606
6607 /* save cache */
6608 cJD = JD;
6609 cL = position->L;
6610 cB = position->B;
6611 cR = position->R;
6612 }
6613
6614 /*! \fn double ln_get_saturn_earth_dist (double JD);
6615 * \param JD Julian day
6616 * \brief Calculate the distance between Saturn and the Earth in AU
6617 * \return Distance in AU
6618 *
6619 * Calculates the distance in AU between the Earth and Saturn for
6620 * the given julian day.
6621 */
ln_get_saturn_earth_dist(double JD)6622 double ln_get_saturn_earth_dist (double JD)
6623 {
6624 struct ln_helio_posn h_saturn, h_earth;
6625 struct ln_rect_posn g_saturn, g_earth;
6626 double x, y, z;
6627
6628 /* get heliocentric positions */
6629 ln_get_saturn_helio_coords (JD, &h_saturn);
6630 ln_get_earth_helio_coords (JD, &h_earth);
6631
6632 /* get geocentric coords */
6633 ln_get_rect_from_helio (&h_saturn, &g_saturn);
6634 ln_get_rect_from_helio (&h_earth, &g_earth);
6635
6636 /* use pythag */
6637 x = g_saturn.X - g_earth.X;
6638 y = g_saturn.Y - g_earth.Y;
6639 z = g_saturn.Z - g_earth.Z;
6640 x = x * x;
6641 y = y * y;
6642 z = z * z;
6643
6644 return sqrt (x + y + z);
6645 }
6646
6647 /*! \fn double ln_get_saturn_solar_dist (double JD);
6648 * \param JD Julian day
6649 * \brief Calculate the distance between Saturn and the Sun in AU
6650 * \return Distance in AU
6651 *
6652 * Calculates the distance in AU between the Sun and Saturn for
6653 * the given julian day.
6654 */
ln_get_saturn_solar_dist(double JD)6655 double ln_get_saturn_solar_dist (double JD)
6656 {
6657 struct ln_helio_posn h_saturn;
6658
6659 /* get heliocentric position */
6660 ln_get_saturn_helio_coords (JD, &h_saturn);
6661 return h_saturn.R;
6662 }
6663
6664 /*! \fn double ln_get_saturn_magnitude (double JD);
6665 * \param JD Julian day
6666 * \brief Calculate the visible magnitude of Saturn
6667 * \return Visisble magnitude of saturn
6668 * \todo Calculate rings brightness
6669 *
6670 * Calculate the visible magnitude of Saturn for the given
6671 * julian day.
6672 */
ln_get_saturn_magnitude(double JD)6673 double ln_get_saturn_magnitude (double JD)
6674 {
6675 double delta, r;
6676
6677 /* get distances */
6678 r = ln_get_saturn_solar_dist (JD);
6679 delta = ln_get_saturn_earth_dist (JD);
6680
6681 return -8.88 + 5 * log10 (r * delta); /* + 0.044 * U - 2.6 * sin (B) + 1.25 * (sin (B) * sin (B)); */
6682 }
6683
6684 /*! \fn double ln_get_saturn_disk (double JD);
6685 * \param JD Julian day
6686 * \brief Calculate the illuminated fraction of Saturn's disk
6687 * \return Illuminated fraction of Saturns disk. (Value between 0..1)
6688 *
6689 * Calculate the illuminated fraction of Saturn's disk for the given Julian
6690 * day.
6691 */
6692 /* Chapter 41 */
ln_get_saturn_disk(double JD)6693 double ln_get_saturn_disk (double JD)
6694 {
6695 double r,delta,R;
6696
6697 /* get distances */
6698 R = ln_get_earth_solar_dist (JD);
6699 r = ln_get_saturn_solar_dist (JD);
6700 delta = ln_get_saturn_earth_dist (JD);
6701
6702 /* calc fraction angle */
6703 return (((r + delta) * (r + delta)) - R * R) / (4 * r * delta);
6704 }
6705
6706 /*! \fn double ln_get_saturn_phase (double JD);
6707 * \brief Calculate the phase angle of Saturn (Sun - Saturn - Earth)
6708 * \return Phase angle of Saturn (degrees)
6709 *
6710 * Calculates the phase angle of Saturn, that is, the angle Sun -
6711 * Saturn - Earth for the given Julian day.
6712 */
6713 /* Chapter 41 */
ln_get_saturn_phase(double JD)6714 double ln_get_saturn_phase (double JD)
6715 {
6716 double i,r,delta,R;
6717
6718 /* get distances */
6719 R = ln_get_earth_solar_dist (JD);
6720 r = ln_get_saturn_solar_dist (JD);
6721 delta = ln_get_saturn_earth_dist (JD);
6722
6723 /* calc phase */
6724 i = (r * r + delta * delta - R * R) / (2 * r * delta);
6725 i = acos (i);
6726 return ln_rad_to_deg (i);
6727 }
6728
6729 /*! \fn double ln_get_saturn_rst (double JD, struct ln_lnlat_posn * observer, struct ln_rst_time * rst);
6730 * \param JD Julian day
6731 * \param observer Observers position
6732 * \param rst Pointer to store Rise, Set and Transit time in JD
6733 * \return 0 for success, else 1 for circumpolar.
6734 *
6735 * Calculate the time the rise, set and transit (crosses the local meridian at upper culmination)
6736 * time of Saturn for the given Julian day.
6737 *
6738 * Note: this functions returns 1 if Saturn is circumpolar, that is it remains the whole
6739 * day either above or below the horizon.
6740 */
ln_get_saturn_rst(double JD,struct ln_lnlat_posn * observer,struct ln_rst_time * rst)6741 int ln_get_saturn_rst (double JD, struct ln_lnlat_posn * observer, struct ln_rst_time * rst)
6742 {
6743 return ln_get_body_rst_horizon (JD, observer, ln_get_saturn_equ_coords, LN_STAR_STANDART_HORIZON, rst);
6744 }
6745
6746 /*! \fn double ln_get_saturn_equ_sdiam (double JD)
6747 * \param JD Julian day
6748 * \return Semidiameter in arc seconds
6749 *
6750 * Calculate the equatorial semidiameter of Saturn in arc seconds for the
6751 * given julian day.
6752 */
ln_get_saturn_equ_sdiam(double JD)6753 double ln_get_saturn_equ_sdiam (double JD)
6754 {
6755 double So = 82.73; /* at 1 AU */
6756 double dist;
6757
6758 dist = ln_get_saturn_earth_dist (JD);
6759 return So / dist;
6760 }
6761
6762 /*! \fn double ln_get_saturn_pol_sdiam (double JD)
6763 * \param JD Julian day
6764 * \return Semidiameter in arc seconds
6765 * \todo Use Saturnicentric lat of Earth
6766 *
6767 * Calculate the polar semidiameter of Saturn in arc seconds for the
6768 * given julian day.
6769 */
ln_get_saturn_pol_sdiam(double JD)6770 double ln_get_saturn_pol_sdiam (double JD)
6771 {
6772 double So = 73.82; /* at 1 AU */
6773 double dist;
6774
6775 dist = ln_get_saturn_earth_dist (JD);
6776 return So / dist;
6777 }
6778
6779
6780 /*! \fn void ln_get_saturn_rect_helio (double JD, struct ln_rect_posn * position)
6781 * \param JD Julian day.
6782 * \param position pointer to return position
6783 *
6784 * Calculate Saturns rectangular heliocentric coordinates for the
6785 * given Julian day. Coordinates are in AU.
6786 */
ln_get_saturn_rect_helio(double JD,struct ln_rect_posn * position)6787 void ln_get_saturn_rect_helio (double JD, struct ln_rect_posn * position)
6788 {
6789 struct ln_helio_posn saturn;
6790
6791 ln_get_saturn_helio_coords (JD, &saturn);
6792 ln_get_rect_from_helio (&saturn, position);
6793 }
6794