1 /*
2  *  This library is free software; you can redistribute it and/or
3  *  modify it under the terms of the GNU Lesser General Public
4  *  License as published by the Free Software Foundation; either
5  *  version 2 of the License, or (at your option) any later version.
6  *
7  *  This library is distributed in the hope that it will be useful,
8  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
9  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
10  *  Lesser General Public License for more details.
11  *
12  *  You should have received a copy of the GNU General Public License
13  *  along with this program; if not, write to the Free Software
14  *  Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
15  *
16  *  Some functions in this file use the VSOP87 solution by
17  *  Messrs. Bretagnon and Francou.
18  *
19  *  Copyright (C) 2000 - 2005 Liam Girdwood <lgirdwood@gmail.com>
20  */
21 
22 module nova.uranus;
23 
24 import std.math;
25 
26 import nova.vsop87;
27 import nova.solar;
28 import nova.earth;
29 import nova.transform;
30 import nova.rise_set;
31 import nova.utility;
32 
33 enum LONG_L0 = 1441;
34 enum LONG_L1 = 655;
35 enum LONG_L2 = 259;
36 enum LONG_L3 = 69;
37 enum LONG_L4 = 8;
38 enum LAT_B0 = 311;
39 enum LAT_B1 = 130;
40 enum LAT_B2 = 39;
41 enum LAT_B3 = 15;
42 enum RADIUS_R0 = 1387;
43 enum RADIUS_R1 = 625;
44 enum RADIUS_R2 = 249;
45 enum RADIUS_R3 = 69;
46 enum RADIUS_R4 = 12;
47 
48 /* cache variables */
49 static double cJD = 0.0, cL = 0.0, cB = 0.0, cR = 0.0;
50 
51 static const ln_vsop[LONG_L0] uranus_longitude_l0 = [
52     {     5.48129294297,  0.00000000000,        0.00000000000},
53     {     0.09260408234,  0.89106421507,       74.78159856730},
54     {     0.01504247898,  3.62719260920,        1.48447270830},
55     {     0.00365981674,  1.89962179044,       73.29712585900},
56     {     0.00272328168,  3.35823706307,      149.56319713460},
57     {     0.00070328461,  5.39254450063,       63.73589830340},
58     {     0.00068892678,  6.09292483287,       76.26607127560},
59     {     0.00061998615,  2.26952066061,        2.96894541660},
60     {     0.00061950719,  2.85098872691,       11.04570026390},
61     {     0.00026468770,  3.14152083966,       71.81265315070},
62     {     0.00025710476,  6.11379840493,      454.90936652730},
63     {     0.00021078850,  4.36059339067,      148.07872442630},
64     {     0.00017818647,  1.74436930289,       36.64856292950},
65     {     0.00014613507,  4.73732166022,        3.93215326310},
66     {     0.00011162509,  5.82681796350,      224.34479570190},
67     {     0.00010997910,  0.48865004018,      138.51749687070},
68     {     0.00009527478,  2.95516862826,       35.16409022120},
69     {     0.00007545601,  5.23626582400,      109.94568878850},
70     {     0.00004220241,  3.23328220918,       70.84944530420},
71     {     0.00004051900,  2.27755017300,      151.04766984290},
72     {     0.00003354596,  1.06549007380,        4.45341812490},
73     {     0.00002926718,  4.62903718891,        9.56122755560},
74     {     0.00003490340,  5.48306144511,      146.59425171800},
75     {     0.00003144069,  4.75199570434,       77.75054398390},
76     {     0.00002922333,  5.35235361027,       85.82729883120},
77     {     0.00002272788,  4.36600400036,       70.32818044240},
78     {     0.00002051219,  1.51773566586,        0.11187458460},
79     {     0.00002148602,  0.60745949945,       38.13303563780},
80     {     0.00001991643,  4.92437588682,      277.03499374140},
81     {     0.00001376226,  2.04283539351,       65.22037101170},
82     {     0.00001666902,  3.62744066769,      380.12776796000},
83     {     0.00001284107,  3.11347961505,      202.25339517410},
84     {     0.00001150429,  0.93343589092,        3.18139373770},
85     {     0.00001533221,  2.58594681212,       52.69019803950},
86     {     0.00001281604,  0.54271272721,      222.86032299360},
87     {     0.00001372139,  4.19641530878,      111.43016149680},
88     {     0.00001221029,  0.19900650030,      108.46121608020},
89     {     0.00000946181,  1.19253165736,      127.47179660680},
90     {     0.00001150989,  4.17898916639,       33.67961751290},
91     {     0.00001244347,  0.91614441731,        2.44768055480},
92     {     0.00001072013,  0.23566016888,       62.25142559510},
93     {     0.00001090463,  1.77501500531,       12.53017297220},
94     {     0.00000707935,  5.18291670033,      213.29909543800},
95     {     0.00000653376,  0.96587864431,       78.71375183040},
96     {     0.00000627570,  0.18209040157,      984.60033162190},
97     {     0.00000524485,  2.01275350435,      299.12639426920},
98     {     0.00000559396,  3.35768635981,        0.52126486180},
99     {     0.00000606847,  5.43209889250,      529.69096509460},
100     {     0.00000404897,  5.98690517582,        8.07675484730},
101     {     0.00000467183,  0.41482520325,      145.10977900970},
102     {     0.00000471311,  1.40661608158,      184.72728735580},
103     {     0.00000483226,  2.10553218341,        0.96320784650},
104     {     0.00000395569,  5.87037914022,      351.81659230870},
105     {     0.00000433527,  5.52141037763,      183.24281464750},
106     {     0.00000309843,  5.83301863492,      145.63104387150},
107     {     0.00000378642,  2.34989391811,       56.62235130260},
108     {     0.00000399033,  0.33796522578,      415.55249061210},
109     {     0.00000300392,  5.64355207373,       22.09140052780},
110     {     0.00000249230,  4.74621772167,      225.82926841020},
111     {     0.00000239311,  2.35072447972,      137.03302416240},
112     {     0.00000294103,  5.83919833199,       39.61750834610},
113     {     0.00000216450,  4.77807782477,      340.77089204480},
114     {     0.00000251784,  1.63692846797,      221.37585028530},
115     {     0.00000219624,  1.92233630317,       67.66805156650},
116     {     0.00000202019,  1.29693040688,        0.04818410980},
117     {     0.00000224105,  0.51589500446,       84.34282612290},
118     {     0.00000216563,  6.14217553245,        5.93789083320},
119     {     0.00000222605,  2.84314245655,        0.26063243090},
120     {     0.00000207907,  5.58012637880,       68.84370773410},
121     {     0.00000187520,  1.31927606520,        0.16005869440},
122     {     0.00000199306,  0.95648612651,      152.53214255120},
123     {     0.00000158075,  0.73795262538,       54.17467074780},
124     {     0.00000168606,  5.87865394974,       18.15924726470},
125     {     0.00000170326,  3.67712574811,        5.41662597140},
126     {     0.00000193647,  1.88800957346,      456.39383923560},
127     {     0.00000193051,  0.91616617785,      453.42489381900},
128     {     0.00000181991,  3.53625031273,       79.23501669220},
129     {     0.00000173102,  1.53869634445,      160.60889739850},
130     {     0.00000164483,  1.42390725018,      106.97674337190},
131     {     0.00000171940,  5.67948631369,      219.89137757700},
132     {     0.00000162805,  3.05027759814,      112.91463420510},
133     {     0.00000146659,  1.26296726443,       59.80374504030},
134     {     0.00000139276,  5.38697273752,       32.19514480460},
135     {     0.00000138636,  4.25998533357,      909.81873305460},
136     {     0.00000143058,  1.29980453870,       35.42472265210},
137     {     0.00000123986,  1.37489956563,        7.11354700080},
138     {     0.00000104582,  5.02793726187,        0.75075952540},
139     {     0.00000103295,  0.68145096277,       14.97785352700},
140     {     0.00000094957,  0.90678215577,       74.66972398270},
141     {     0.00000082948,  2.92800368384,      265.98929347750},
142     {     0.00000110403,  2.02666475709,      554.06998748280},
143     {     0.00000094433,  3.94271122207,       74.89347315190},
144     {     0.00000080072,  1.01583506701,        6.59228213900},
145     {     0.00000109576,  5.70572405893,       77.96299230500},
146     {     0.00000085946,  1.70581556772,       82.85835341460},
147     {     0.00000103799,  1.45794315266,       24.37902238820},
148     {     0.00000074661,  4.63178804642,       69.36497259590},
149     {     0.00000079813,  3.00965058125,      297.64192156090},
150     {     0.00000084490,  0.36886722094,      186.21176006410},
151     {     0.00000088657,  0.52498114072,      181.75834193920},
152     {     0.00000070368,  1.18984702891,       66.70484372000},
153     {     0.00000069971,  0.87463619381,      305.34616939270},
154     {     0.00000070082,  3.75845990682,      131.40394986990},
155     {     0.00000084350,  5.88592009032,      256.53994050650},
156     {     0.00000074493,  6.24238684280,      447.79581952650},
157     {     0.00000062454,  0.16868402018,      479.28838891550},
158     {     0.00000072904,  2.84891153624,      462.02291352810},
159     {     0.00000069205,  4.43939850837,       39.35687591520},
160     {     0.00000076729,  4.58716659215,        6.21977512350},
161     {     0.00000073423,  4.27591432865,       87.31177153950},
162     {     0.00000055577,  1.49804110443,       71.60020482960},
163     {     0.00000057315,  1.63007488533,      143.62530630140},
164     {     0.00000061674,  3.18616775231,       77.22927912210},
165     {     0.00000057668,  3.67128264895,       51.20572533120},
166     {     0.00000050352,  1.12355398826,       20.60692781950},
167     {     0.00000053720,  5.51853172042,      128.95626931510},
168     {     0.00000057895,  2.66869216910,      381.61224066830},
169     {     0.00000058089,  1.58635213310,       60.76695288680},
170     {     0.00000045390,  0.48027056949,       14.01464568050},
171     {     0.00000037513,  6.06768205316,      211.81462272970},
172     {     0.00000038565,  3.43547372715,      153.49535039770},
173     {     0.00000046085,  4.36220351003,       75.74480641380},
174     {     0.00000040220,  4.57551863155,       46.20979048510},
175     {     0.00000034314,  2.93858938870,      140.00196957900},
176     {     0.00000038754,  5.59046474201,       99.16062095550},
177     {     0.00000034864,  1.02877681340,      203.73786788240},
178     {     0.00000040016,  0.69893479575,      218.40690486870},
179     {     0.00000032562,  4.21895389367,      200.76892246580},
180     {     0.00000031889,  5.50965372046,       72.33391801250},
181     {     0.00000041668,  3.82449219367,       81.00137369080},
182     {     0.00000034668,  0.39221757952,        1.37259812370},
183     {     0.00000039741,  6.05490168728,      293.18850343600},
184     {     0.00000027545,  2.18754130148,      125.98732389850},
185     {     0.00000036328,  1.66621808766,      258.02441321480},
186     {     0.00000035508,  1.96672429313,      835.03713448730},
187     {     0.00000035373,  3.72274050162,      692.58748435350},
188     {     0.00000027364,  2.10315692995,      209.36694217490},
189     {     0.00000026442,  4.48298644364,      373.90799283650},
190     {     0.00000034517,  1.08687838842,      191.20769491020},
191     {     0.00000026317,  3.63357788040,      490.33408917940},
192     {     0.00000029888,  3.87365011384,      259.50888592310},
193     {     0.00000025926,  0.54378574725,       41.64449777560},
194     {     0.00000027110,  0.00478270361,       28.57180808220},
195     {     0.00000026313,  5.81236674192,       75.30286342910},
196     {     0.00000034277,  6.05545630018,      275.55052103310},
197     {     0.00000024315,  3.18651202042,       81.37388070630},
198     {     0.00000029936,  1.88789030410,      269.92144674060},
199     {     0.00000026242,  6.20368166778,      134.58534360760},
200     {     0.00000022842,  0.92857008471,      288.08069400530},
201     {     0.00000025216,  5.43032747843,      116.42609634290},
202     {     0.00000027063,  4.75299776159,       41.10198105440},
203     {     0.00000022706,  0.53057453120,     1514.29129671650},
204     {     0.00000026480,  4.77161377188,      284.14854074220},
205     {     0.00000021950,  4.59091247537,      404.50679034820},
206     {     0.00000022022,  1.84418065243,      617.80588578620},
207     {     0.00000024811,  4.70901440561,      378.64329525170},
208     {     0.00000029040,  0.17160028536,      528.20649238630},
209     {     0.00000020487,  0.10247779138,      195.13984817330},
210     {     0.00000020726,  5.62240737217,       55.65914345610},
211     {     0.00000025919,  0.74700144605,      278.51946644970},
212     {     0.00000022824,  3.58334799786,        1.59634729290},
213     {     0.00000021855,  0.05691568897,      173.94221952280},
214     {     0.00000019045,  2.30354999303,        5.10780943070},
215     {     0.00000020831,  2.64115582292,      105.49227066360},
216     {     0.00000021849,  5.87274563981,       45.57665103870},
217     {     0.00000021075,  1.98176191313,      114.39910691340},
218     {     0.00000019306,  2.84240229356,      159.12442469020},
219     {     0.00000019062,  0.50604571692,       67.35923502580},
220     {     0.00000020431,  3.77538635518,      135.54855145410},
221     {     0.00000017322,  4.47827838578,      120.35824960600},
222     {     0.00000020581,  0.88703968592,      255.05546779820},
223     {     0.00000019339,  1.48569403160,        0.89377187730},
224     {     0.00000021333,  2.74458777210,       28.31117565130},
225     {     0.00000017629,  4.09292272552,      296.15744885260},
226     {     0.00000015918,  3.94524461273,       17.52610781830},
227     {     0.00000015556,  0.92841352827,      300.61086697750},
228     {     0.00000016443,  0.30879187235,       30.71067209630},
229     {     0.00000015248,  4.93045860155,        7.42236354150},
230     {     0.00000019300,  6.21959323869,      329.83706636550},
231     {     0.00000013876,  0.56084534056,      144.14657116320},
232     {     0.00000016198,  2.30318612128,      344.70304530790},
233     {     0.00000016033,  0.19604773155,      103.09277421860},
234     {     0.00000014368,  2.57751058848,      230.56457082540},
235     {     0.00000016807,  4.93620648940,      565.11568774670},
236     {     0.00000017121,  1.82016259921,      294.67297614430},
237     {     0.00000016827,  0.27566510604,       73.81839072080},
238     {     0.00000015455,  1.91556741732,       96.87299909510},
239     {     0.00000015814,  3.86318315976,       98.89998852460},
240     {     0.00000011923,  6.17587234615,       44.72531777680},
241     {     0.00000012446,  6.22466345410,       80.19822453870},
242     {     0.00000013001,  1.99483872260,       27.08733537390},
243     {     0.00000013180,  3.43753711704,      227.31374111850},
244     {     0.00000011678,  4.31505860166,      426.59819087600},
245     {     0.00000014374,  5.78359439943,     1059.38193018920},
246     {     0.00000015879,  0.98454960135,     6208.29425142410},
247     {     0.00000011511,  2.55846980442,       19.12245511120},
248     {     0.00000011193,  1.74548073119,      220.41264243880},
249     {     0.00000011981,  5.84355465210,       13.33332212430},
250     {     0.00000013333,  5.39450805857,      391.17346822390},
251     {     0.00000012322,  4.57477369077,       23.57587323610},
252     {     0.00000012847,  1.77354298387,      180.27386923090},
253     {     0.00000011629,  4.29071404978,      142.44965013380},
254     {     0.00000012214,  2.44698830848,      100.38446123290},
255     {     0.00000012439,  2.32661007670,       80.71948940050},
256     {     0.00000009770,  0.39792836846,        7.86430652620},
257     {     0.00000013165,  2.74113201454,      177.87437278590},
258     {     0.00000012265,  5.42816045200,      831.10498122420},
259     {     0.00000010264,  5.90199222998,       74.52096613640},
260     {     0.00000009317,  3.75869700707,       74.82978267710},
261     {     0.00000012284,  5.52145313445,       74.26033370550},
262     {     0.00000010682,  4.00694729802,      235.39049596580},
263     {     0.00000009243,  5.38488037675,       20.44686912510},
264     {     0.00000009458,  2.60118467048,       92.30770638560},
265     {     0.00000009317,  1.16483658243,       74.73341445750},
266     {     0.00000010786,  1.88993609169,      241.61027108930},
267     {     0.00000010597,  5.50467173303,      187.69623277240},
268     {     0.00000012035,  6.02036249862,      154.01661525950},
269     {     0.00000009129,  1.15458738606,        0.63313944640},
270     {     0.00000011708,  6.25765865911,      155.78297225810},
271     {     0.00000012186,  5.79479693025,     1364.72809958190},
272     {     0.00000010992,  5.76674596450,      628.85158605010},
273     {     0.00000008531,  5.17918037530,        1.64453140270},
274     {     0.00000008662,  3.78046237096,       74.94165726170},
275     {     0.00000011225,  1.30868548209,      604.47256366190},
276     {     0.00000010540,  1.05897224519,      291.70403072770},
277     {     0.00000008443,  3.52060391248,      756.32338265690},
278     {     0.00000010290,  5.30499384790,       75.04223099820},
279     {     0.00000009591,  1.64200163871,       24.11838995730},
280     {     0.00000008020,  6.24545313293,      543.02428721890},
281     {     0.00000007796,  5.23505740309,       58.10682401090},
282     {     0.00000008649,  1.14271989382,       74.62153987290},
283     {     0.00000007793,  4.00212500951,       31.49256938900},
284     {     0.00000008915,  3.63129999542,      408.43894361130},
285     {     0.00000007195,  4.24369275612,      110.20632121940},
286     {     0.00000009545,  2.00926809412,      331.32153907380},
287     {     0.00000008786,  2.25836637388,      451.94042111070},
288     {     0.00000009768,  0.10232823685,      366.48562929500},
289     {     0.00000009075,  1.63090160034,      443.86366626340},
290     {     0.00000007255,  4.35305855248,       88.11492069160},
291     {     0.00000009482,  1.43114303369,      414.06801790380},
292     {     0.00000007645,  0.62076955028,       50.40257617910},
293     {     0.00000006836,  5.12192858785,        0.80314915210},
294     {     0.00000006899,  5.86240754958,      339.28641933650},
295     {     0.00000008125,  0.45159535895,       25.60286266560},
296     {     0.00000006488,  6.03171366016,        1.22384027740},
297     {     0.00000009108,  2.41055572869,    10138.50394764370},
298     {     0.00000008139,  0.21930359866,      422.66603761290},
299     {     0.00000007164,  4.00283046264,      157.63995198190},
300     {     0.00000006393,  4.47880072523,       79.88940799800},
301     {     0.00000008039,  2.10161085530,       92.94084583200},
302     {     0.00000006773,  1.38798529262,       16.67477455640},
303     {     0.00000006816,  2.84724339946,      142.14083359310},
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1409     {     0.00000000080,  6.14901515198,      515.46387109300},
1410     {     0.00000000084,  4.08795854193,      323.24478422650},
1411     {     0.00000000079,  3.44985050546,       71.70077856610},
1412     {     0.00000000103,  0.24719113679,      395.10562148700},
1413     {     0.00000000081,  2.61930932018,      623.22251175760},
1414     {     0.00000000079,  0.90143680512,      718.61103814440},
1415     {     0.00000000079,  2.22415153671,       74.04788538440},
1416     {     0.00000000092,  2.57503576494,      302.16477565500},
1417     {     0.00000000094,  4.13472590590,       64.25716316520},
1418     {     0.00000000090,  3.55225063298,      495.96316347190},
1419     {     0.00000000097,  5.23472340611,     1112.07212822870},
1420     {     0.00000000088,  5.01537308962,     1297.86319716750},
1421     {     0.00000000090,  1.32491876418,      724.83081326790},
1422     {     0.00000000106,  5.11210367902,       74.19089773630},
1423     {     0.00000000084,  2.69256231569,       27.74172667970},
1424     {     0.00000000083,  3.61925786724,      514.71311156760},
1425     {     0.00000000080,  4.91927269399,      347.36317418380},
1426     {     0.00000000077,  5.57198158633,       74.99404688840},
1427     {     0.00000000082,  2.22882573860,      469.88722005430},
1428     {     0.00000000089,  6.06487552896,       75.37229939830},
1429     {     0.00000000078,  3.25878759023,      394.35486196160},
1430     {     0.00000000104,  3.00022428298,      532.65991051120},
1431     {     0.00000000079,  4.37011833943,      396.54191008550},
1432     {     0.00000000103,  3.64560367439,      540.73666535850},
1433     {     0.00000000082,  4.43941220587,      432.81796599950},
1434     {     0.00000000101,  5.81737971094,      658.18966002270},
1435     {     0.00000000097,  2.59101775215,      690.13980379870},
1436     {     0.00000000082,  5.40861394405,      529.57909051000},
1437     {     0.00000000081,  2.52312280794,      384.95369310040},
1438     {     0.00000000076,  4.43418522057,      818.57480825200},
1439     {     0.00000000081,  0.95220782125,       73.66963287450},
1440     {     0.00000000087,  5.57227856660,     6284.56032269970},
1441     {     0.00000000094,  6.23547840274,      305.71867640820},
1442     {     0.00000000075,  4.35228806434,      112.49394307980},
1443     {     0.00000000096,  1.12909514630,      123.96033446900},
1444     {     0.00000000095,  2.73244270397,      934.19775544280},
1445     {     0.00000000097,  4.75415372291,       90.56260124640},
1446     {     0.00000000088,  5.23693832326,      434.67494572330},
1447     {     0.00000000076,  4.86126967725,       72.49397670690},
1448     {     0.00000000104,  5.37590823539,      543.91805909620},
1449     {     0.00000000091,  1.04794288604,      938.12990870590},
1450     {     0.00000000099,  2.19698635547,     1129.71011063160},
1451     {     0.00000000074,  3.27934639338,       89.00869256890},
1452     {     0.00000000100,  4.59916398079,      461.76228109720},
1453     {     0.00000000074,  5.63493926040,      233.53351624200},
1454     {     0.00000000074,  3.03606610688,     1531.55677210390},
1455     {     0.00000000099,  0.64774167845,      554.18186206740},
1456     {     0.00000000084,  3.14436294064,      370.04527554260},
1457     {     0.00000000077,  1.33778374453,     1022.31267613440},
1458     {     0.00000000081,  3.36096602483,      292.01284726840},
1459     {     0.00000000081,  4.15588604506,      432.22726516850},
1460     {     0.00000000074,  2.91359929208,      302.74973099160},
1461     {     0.00000000092,  5.11372489097,      912.78767847120},
1462     {     0.00000000073,  5.42920211703,      539.25219265020},
1463     {     0.00000000081,  5.25618688362,      311.65656724140},
1464     {     0.00000000082,  0.77806577612,      591.94239068970},
1465     {     0.00000000074,  0.16737907492,     1374.12926844310},
1466     {     0.00000000077,  3.20203134483,      527.24328453980},
1467     {     0.00000000081,  3.80903070318,       75.89356426010},
1468     {     0.00000000097,  4.67281118685,       16.98359109710},
1469     {     0.00000000077,  2.10541189728,      139.17188817650},
1470     {     0.00000000091,  4.67274741065,       84.86409098470},
1471     {     0.00000000098,  2.37249774428,      566.33952802410},
1472     {     0.00000000082,  2.16070758110,      529.80283967920},
1473     {     0.00000000072,  3.47566702228,     1086.04857443780},
1474     {     0.00000000092,  0.21608932947,     1297.06004801540},
1475     {     0.00000000093,  4.30059085579,      224.93549653290},
1476     {     0.00000000086,  3.02917299294,      126.50858876030},
1477     {     0.00000000079,  1.29816054687,      683.98946464440},
1478     {     0.00000000095,  2.46862196214,     9917.12809735840},
1479     {     0.00000000076,  2.48420575089,       37.71234451250},
1480     {     0.00000000097,  0.68274913158,      207.36120460480},
1481     {     0.00000000096,  4.16112194001,     1042.91960395390},
1482     {     0.00000000071,  6.04130834510,      223.45102382460},
1483     {     0.00000000076,  3.37676835926,      502.86426215160},
1484     {     0.00000000084,  3.24912782551,      628.96346063470},
1485     {     0.00000000073,  0.73113607430,      390.49214466770},
1486     {     0.00000000071,  4.64209882547,       72.54636633360},
1487     {     0.00000000073,  3.31815515601,      356.27001043360},
1488     {     0.00000000072,  2.60766427215,      602.02488310710},
1489     {     0.00000000074,  5.76600995478,     1424.53184462220},
1490     {     0.00000000074,  4.22820017237,     1274.96864748760},
1491     {     0.00000000074,  2.78217896807,     1522.20799286940},
1492     {     0.00000000074,  4.38596183925,     1372.64479573480},
1493 ];
1494 
1495 
1496 static const ln_vsop[LONG_L1] uranus_longitude_l1 = [
1497     {    74.78159860910,  0.00000000000,        0.00000000000},
1498     {     0.00154332863,  5.24158770553,       74.78159856730},
1499     {     0.00024456474,  1.71260334156,        1.48447270830},
1500     {     0.00009258442,  0.42829732350,       11.04570026390},
1501     {     0.00008265977,  1.50218091379,       63.73589830340},
1502     {     0.00009150160,  1.41213765216,      149.56319713460},
1503     {     0.00003899108,  0.46483579160,        3.93215326310},
1504     {     0.00002277065,  4.17199181523,       76.26607127560},
1505     {     0.00001927470,  0.52976188479,        2.96894541660},
1506     {     0.00001232725,  1.58632088145,       70.84944530420},
1507     {     0.00000791201,  5.43640595978,        3.18139373770},
1508     {     0.00000766954,  1.99425624214,       73.29712585900},
1509     {     0.00000481813,  2.98574070918,       85.82729883120},
1510     {     0.00000449635,  4.14242946378,      138.51749687070},
1511     {     0.00000565091,  3.87400932383,      224.34479570190},
1512     {     0.00000426600,  4.73158166033,       71.81265315070},
1513     {     0.00000347745,  2.45368882357,        9.56122755560},
1514     {     0.00000332699,  2.55525645638,      148.07872442630},
1515     {     0.00000317054,  5.57858240166,       52.69019803950},
1516     {     0.00000179897,  5.68365861477,       12.53017297220},
1517     {     0.00000171119,  3.00040981195,       78.71375183040},
1518     {     0.00000205579,  2.36242761009,        2.44768055480},
1519     {     0.00000158038,  2.90930836614,        0.96320784650},
1520     {     0.00000189090,  4.20258063269,       56.62235130260},
1521     {     0.00000202696,  0.34360451816,      151.04766984290},
1522     {     0.00000154762,  5.59005854748,        4.45341812490},
1523     {     0.00000143472,  2.59047613814,       62.25142559510},
1524     {     0.00000151459,  2.93993108236,       77.75054398390},
1525     {     0.00000153561,  4.65220425575,       35.16409022120},
1526     {     0.00000121462,  4.14937021194,      127.47179660680},
1527     {     0.00000115538,  3.73245717203,       65.22037101170},
1528     {     0.00000102213,  4.18917777961,      145.63104387150},
1529     {     0.00000101894,  6.03382617339,        0.11187458460},
1530     {     0.00000088409,  3.99004756152,       18.15924726470},
1531     {     0.00000087591,  6.15639888455,      202.25339517410},
1532     {     0.00000080591,  2.64095955809,       22.09140052780},
1533     {     0.00000072047,  6.04586846354,       70.32818044240},
1534     {     0.00000068727,  4.05075598128,       77.96299230500},
1535     {     0.00000059329,  3.70581611259,       67.66805156650},
1536     {     0.00000047388,  3.54091852775,      351.81659230870},
1537     {     0.00000042712,  5.72066604839,        5.41662597140},
1538     {     0.00000044405,  5.91042456876,        7.11354700080},
1539     {     0.00000035784,  3.29585017124,        8.07675484730},
1540     {     0.00000035724,  3.32933903151,       71.60020482960},
1541     {     0.00000036081,  5.89881403933,       33.67961751290},
1542     {     0.00000041676,  4.94718694607,      222.86032299360},
1543     {     0.00000031215,  5.48938304422,      160.60889739850},
1544     {     0.00000031453,  5.62016551866,      984.60033162190},
1545     {     0.00000035171,  5.07842850969,       38.13303563780},
1546     {     0.00000035543,  0.05502439660,      299.12639426920},
1547     {     0.00000030810,  5.49604033608,       59.80374504030},
1548     {     0.00000028883,  4.51759500034,       84.34282612290},
1549     {     0.00000026705,  5.53637447019,      131.40394986990},
1550     {     0.00000029956,  1.66046193211,      447.79581952650},
1551     {     0.00000029206,  1.14722620686,      462.02291352810},
1552     {     0.00000025811,  4.99049651973,      137.03302416240},
1553     {     0.00000025474,  5.73884476629,      380.12776796000},
1554     {     0.00000021683,  2.80603505468,       69.36497259590},
1555     {     0.00000023016,  2.24983506758,      111.43016149680},
1556     {     0.00000019228,  3.55594434001,       54.17467074780},
1557     {     0.00000021696,  0.98872139680,      213.29909543800},
1558     {     0.00000019457,  1.86460184285,      108.46121608020},
1559     {     0.00000016140,  3.10230818045,       14.97785352700},
1560     {     0.00000013138,  1.95065801902,       87.31177153950},
1561     {     0.00000013904,  1.54207093820,      340.77089204480},
1562     {     0.00000013543,  4.38430774439,        5.93789083320},
1563     {     0.00000016493,  2.80104132725,      225.82926841020},
1564     {     0.00000013111,  5.88308816286,        6.21977512350},
1565     {     0.00000011811,  0.32606713574,       35.42472265210},
1566     {     0.00000012471,  0.32808369953,       51.20572533120},
1567     {     0.00000010981,  1.69299666770,       45.57665103870},
1568     {     0.00000010888,  5.97042047900,      265.98929347750},
1569     {     0.00000011433,  3.37877229066,       72.33391801250},
1570     {     0.00000012003,  3.60398124894,      269.92144674060},
1571     {     0.00000012936,  5.38263455371,      152.53214255120},
1572     {     0.00000011674,  1.74413259892,       79.23501669220},
1573     {     0.00000010446,  4.16878885118,       24.37902238820},
1574     {     0.00000010634,  3.06878261442,      284.14854074220},
1575     {     0.00000009674,  5.51339189448,      153.49535039770},
1576     {     0.00000009590,  0.49485192598,      209.36694217490},
1577     {     0.00000009269,  3.54589954480,       41.64449777560},
1578     {     0.00000009568,  5.59970406046,       82.85835341460},
1579     {     0.00000009310,  4.49468477512,       20.60692781950},
1580     {     0.00000009632,  1.00932793597,       68.84370773410},
1581     {     0.00000008745,  3.91021963381,       60.76695288680},
1582     {     0.00000010176,  3.51758777802,      529.69096509460},
1583     {     0.00000010048,  4.64919764888,       77.22927912210},
1584     {     0.00000008679,  1.96792212254,      195.13984817330},
1585     {     0.00000008387,  4.41835912213,      134.58534360760},
1586     {     0.00000007983,  5.35924979986,       75.74480641380},
1587     {     0.00000009263,  3.95182354442,       39.61750834610},
1588     {     0.00000007594,  5.77307721631,       73.81839072080},
1589     {     0.00000007713,  4.44174669087,       14.01464568050},
1590     {     0.00000007490,  2.17900285342,      145.10977900970},
1591     {     0.00000007873,  5.74835382023,      184.72728735580},
1592     {     0.00000007688,  2.41795807218,      146.59425171800},
1593     {     0.00000006438,  0.84540553248,       32.19514480460},
1594     {     0.00000006256,  2.17063033953,       74.89347315190},
1595     {     0.00000007937,  0.17172664970,      120.35824960600},
1596     {     0.00000007020,  4.12096862702,      191.20769491020},
1597     {     0.00000006862,  2.13341287037,      116.42609634290},
1598     {     0.00000005208,  3.11117214481,      106.97674337190},
1599     {     0.00000004811,  2.25140758551,       46.20979048510},
1600     {     0.00000004566,  3.45427623308,        0.75075952540},
1601     {     0.00000004473,  3.94632863732,        6.59228213900},
1602     {     0.00000005202,  1.15450734319,      112.91463420510},
1603     {     0.00000004323,  5.15540388592,      144.14657116320},
1604     {     0.00000004746,  5.18244413774,       81.00137369080},
1605     {     0.00000004232,  0.21921910020,       92.94084583200},
1606     {     0.00000004323,  2.52442111234,       99.16062095550},
1607     {     0.00000003879,  2.78711315762,      565.11568774670},
1608     {     0.00000004332,  5.91118459987,      221.37585028530},
1609     {     0.00000003801,  0.75135339336,       58.10682401090},
1610     {     0.00000003812,  3.23225846555,      479.28838891550},
1611     {     0.00000003656,  5.27986185627,       66.91729204110},
1612     {     0.00000003811,  4.92593102646,      125.98732389850},
1613     {     0.00000004172,  2.28697665136,      109.94568878850},
1614     {     0.00000003472,  2.95403921517,       74.66972398270},
1615     {     0.00000003501,  4.89811329155,       28.31117565130},
1616     {     0.00000004495,  4.15453337890,      344.70304530790},
1617     {     0.00000004258,  2.68419933901,        7.86430652620},
1618     {     0.00000003456,  0.02638325764,      140.00196957900},
1619     {     0.00000004181,  1.90641663083,      277.03499374140},
1620     {     0.00000003644,  5.32238666094,      408.43894361130},
1621     {     0.00000003205,  0.05087987138,      220.41264243880},
1622     {     0.00000003190,  1.48430670387,      128.95626931510},
1623     {     0.00000003901,  6.25926496244,        0.89377187730},
1624     {     0.00000003788,  0.03327505225,      152.74459087230},
1625     {     0.00000003200,  0.52009458683,        2.28762186040},
1626     {     0.00000003011,  1.93475294714,       80.19822453870},
1627     {     0.00000004054,  5.23320423468,       96.87299909510},
1628     {     0.00000003798,  4.97868021019,       36.64856292950},
1629     {     0.00000003895,  1.10480659598,      297.64192156090},
1630     {     0.00000003295,  4.80719384894,      422.66603761290},
1631     {     0.00000003192,  2.81905779664,      453.42489381900},
1632     {     0.00000002804,  6.19069392998,      135.54855145410},
1633     {     0.00000003469,  5.88266049174,       16.67477455640},
1634     {     0.00000002785,  1.35852942533,      404.50679034820},
1635     {     0.00000002892,  0.53676605577,      159.12442469020},
1636     {     0.00000003232,  1.54622440929,       23.57587323610},
1637     {     0.00000002958,  6.25751544465,      456.39383923560},
1638     {     0.00000002542,  1.85372598824,      490.33408917940},
1639     {     0.00000002547,  5.19766530615,      173.94221952280},
1640     {     0.00000003118,  6.10201148242,      142.44965013380},
1641     {     0.00000002762,  3.51066557656,      288.08069400530},
1642     {     0.00000002793,  3.90482859776,      358.93013930950},
1643     {     0.00000002958,  5.31404018803,       55.13787859430},
1644     {     0.00000002387,  1.31646029756,      211.81462272970},
1645     {     0.00000002413,  4.38647851761,       60.55450456570},
1646     {     0.00000002285,  2.31869038469,       31.49256938900},
1647     {     0.00000002366,  2.21968144549,       66.70484372000},
1648     {     0.00000002779,  4.72642945119,      186.21176006410},
1649     {     0.00000002270,  3.49350071105,      206.18554843720},
1650     {     0.00000002224,  0.41045917285,       81.37388070630},
1651     {     0.00000002196,  0.76298510234,       17.52610781830},
1652     {     0.00000002115,  3.58641580944,      333.65734504400},
1653     {     0.00000002575,  0.73175693995,      200.76892246580},
1654     {     0.00000002158,  2.61976125405,       13.33332212430},
1655     {     0.00000002041,  6.27470432139,       98.89998852460},
1656     {     0.00000002212,  2.36295359318,      347.88443904560},
1657     {     0.00000002183,  2.49004676830,       76.47851959670},
1658     {     0.00000002032,  1.67484911580,      235.39049596580},
1659     {     0.00000002226,  5.97327738150,     1514.29129671650},
1660     {     0.00000001858,  2.20139550864,      203.73786788240},
1661     {     0.00000002127,  2.52590780597,      373.90799283650},
1662     {     0.00000001865,  4.98207204280,        5.10780943070},
1663     {     0.00000001822,  2.44474441003,       55.65914345610},
1664     {     0.00000002037,  5.80360322726,      146.38180339690},
1665     {     0.00000001894,  4.32787921047,       49.50880430180},
1666     {     0.00000001841,  3.35082910127,      143.62530630140},
1667     {     0.00000001717,  3.95035994581,       24.11838995730},
1668     {     0.00000001684,  1.28092098597,      103.09277421860},
1669     {     0.00000002042,  5.48498644784,      373.01422095920},
1670     {     0.00000001720,  2.35857527806,        1.64453140270},
1671     {     0.00000001637,  2.99504798037,      391.17346822390},
1672     {     0.00000001605,  0.97423033751,      977.48678462110},
1673     {     0.00000001678,  4.97988460684,      387.24131496080},
1674     {     0.00000001520,  3.15010457259,        7.42236354150},
1675     {     0.00000001505,  2.89631333643,       19.64371997300},
1676     {     0.00000001574,  1.61508712335,      991.71387862270},
1677     {     0.00000001509,  3.32685682695,      909.81873305460},
1678     {     0.00000001674,  4.30506338212,      305.34616939270},
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1951     {     0.00000000179,  6.05515483358,      525.75881183150},
1952     {     0.00000000175,  1.96452622716,      520.12973753900},
1953     {     0.00000000199,  0.52713547564,      457.35704708210},
1954     {     0.00000000185,  2.84806428136,     1293.87865427770},
1955     {     0.00000000175,  1.54398883192,       15.19030184810},
1956     {     0.00000000174,  4.66394244510,     9947.05568153210},
1957     {     0.00000000185,  5.46594207951,      981.63138620530},
1958     {     0.00000000171,  5.67389958400,      114.13847448250},
1959     {     0.00000000182,  1.04937888593,      532.65991051120},
1960     {     0.00000000178,  0.51114232798,      172.19711438360},
1961     {     0.00000000169,  3.11804373794,      978.97125732940},
1962     {     0.00000000176,  3.74915826552,      920.86443331850},
1963     {     0.00000000180,  1.07197408549,      586.31331639720},
1964     {     0.00000000166,  1.93682971120,      449.49274055590},
1965     {     0.00000000169,  0.59306510650,      983.11585891360},
1966     {     0.00000000178,  3.92600130864,      621.73803904930},
1967     {     0.00000000174,  4.32154318588,      280.96714700450},
1968     {     0.00000000191,  0.54024876337,      424.15051032120},
1969     {     0.00000000189,  0.10678158871,      406.95447090300},
1970     {     0.00000000205,  0.52365243803,      653.98136796370},
1971     {     0.00000000168,  3.54301022192,      414.06801790380},
1972     {     0.00000000164,  1.87404692874,      171.65459766240},
1973     {     0.00000000185,  5.12729146826,      521.09294538550},
1974     {     0.00000000172,  0.39423495673,      328.24071907260},
1975     {     0.00000000172,  0.34793158963,     2349.32843120380},
1976     {     0.00000000180,  0.37372289781,      661.09491496450},
1977     {     0.00000000170,  5.79397661496,      421.18156490460},
1978     {     0.00000000159,  2.25636452893,      539.25219265020},
1979     {     0.00000000193,  1.65109454411,       91.45637312370},
1980     {     0.00000000166,  2.23770488518,       80.93193772160},
1981     {     0.00000000183,  3.00393831502,      286.59622129700},
1982     {     0.00000000166,  0.92209664824,      444.82687410990},
1983     {     0.00000000170,  0.39414968415,      417.03696332040},
1984     {     0.00000000162,  3.23150668653,      177.87437278590},
1985     {     0.00000000181,  4.00504030975,      388.72578766910},
1986     {     0.00000000153,  2.20468918814,      749.20983565610},
1987     {     0.00000000163,  3.73110852012,      216.92243216040},
1988     {     0.00000000212,  4.72231132508,      833.55266177900},
1989     {     0.00000000198,  6.18808818431,      346.18751801620},
1990     {     0.00000000177,  2.13790488243,       66.18357885820},
1991     {     0.00000000189,  0.61299968484,        8.59801970910},
1992     {     0.00000000213,  4.78511947496,     1190.03512053370},
1993     {     0.00000000164,  4.63818971012,      178.78939652260},
1994     {     0.00000000180,  1.93178230246,      248.72381809010},
1995     {     0.00000000158,  6.13942077870,      782.34693644780},
1996     {     0.00000000206,  0.89126217502,      260.99335863140},
1997     {     0.00000000176,  3.10085327825,      233.90602325750},
1998     {     0.00000000149,  3.08021590217,      386.34754308350},
1999     {     0.00000000150,  5.07107463854,      293.18850343600},
2000     {     0.00000000180,  6.18875446783,      526.72201967800},
2001     {     0.00000000164,  4.49121433201,      374.49869366750},
2002     {     0.00000000189,  1.11458377928,     6058.73105428950},
2003     {     0.00000000147,  3.01754055024,      670.49608382570},
2004     {     0.00000000168,  3.76331368122,       74.26033370550},
2005     {     0.00000000144,  2.31996539469,      294.30046912880},
2006     {     0.00000000167,  5.42159494206,       22.89454967990},
2007     {     0.00000000144,  5.81822380109,       75.53235809270},
2008     {     0.00000000157,  0.40945769911,       88.27497938600},
2009     {     0.00000000175,  4.53761339010,      184.98791978670},
2010     {     0.00000000153,  0.48543215446,      144.89733068860},
2011     {     0.00000000160,  2.60794839561,     1055.44977692610},
2012     {     0.00000000179,  4.37562818485,      764.18768918310},
2013     {     0.00000000143,  1.99453048271,      354.99798604640},
2014     {     0.00000000146,  5.69235209707,      600.54041039880},
2015     {     0.00000000177,  3.90369220329,     1396.22066897090},
2016     {     0.00000000193,  2.53328556634,      189.18070548070},
2017     {     0.00000000155,  4.70126542016,      306.83064210100},
2018     {     0.00000000154,  4.62870568847,      154.97982310600},
2019     {     0.00000000164,  6.02390945956,      383.09671337660},
2020     {     0.00000000187,  4.84188822839,      432.81796599950},
2021     {     0.00000000185,  3.23152718658,      683.98946464440},
2022     {     0.00000000152,  3.68645778017,     1439.50969814920},
2023     {     0.00000000135,  0.15727475865,      115.36231475990},
2024     {     0.00000000183,  3.27617419135,      331.20966448920},
2025     {     0.00000000143,  5.46480801118,       74.03083904190},
2026     {     0.00000000144,  4.20445488125,      237.67811782620},
2027     {     0.00000000133,  4.32149882064,      515.46387109300},
2028     {     0.00000000167,  4.08839285774,       74.52096613640},
2029     {     0.00000000136,  1.71455645866,       93.90405367850},
2030     {     0.00000000135,  3.91190350483,      232.42155054920},
2031     {     0.00000000162,  1.97790343838,      221.16340196420},
2032     {     0.00000000132,  2.82624616573,      385.75684225250},
2033     {     0.00000000160,  1.35947259957,      514.56435372130},
2034     {     0.00000000126,  3.80235468146,      491.81856188770},
2035     {     0.00000000141,  2.57765836949,      217.23124870110},
2036     {     0.00000000124,  0.99583430014,      541.53981451060},
2037     {     0.00000000167,  3.31937662997,     6133.51265285680},
2038     {     0.00000000141,  2.63411441470,      323.50541665740},
2039     {     0.00000000128,  5.08522615028,      448.68959140380},
2040     {     0.00000000157,  5.87846003299,      149.45132255000},
2041     {     0.00000000163,  6.15363541244,     3340.61242669980},
2042     {     0.00000000145,  0.39378158577,      357.44566660120},
2043     {     0.00000000130,  0.87687909058,      234.49672408850},
2044     {     0.00000000132,  4.39790926475,      686.95841006100},
2045     {     0.00000000118,  2.97103357711,      163.57784281510},
2046     {     0.00000000149,  3.44120121334,      371.52974825090},
2047     {     0.00000000128,  2.90544144809,      537.39521292640},
2048     {     0.00000000118,  4.93654738085,      771.30123618390},
2049     {     0.00000000138,  1.60526889301,      229.08009811710},
2050     {     0.00000000140,  0.19423734509,      103.35340664950},
2051     {     0.00000000138,  0.41128239547,      175.42669223110},
2052     {     0.00000000155,  3.98039100074,      302.09533968580},
2053     {     0.00000000127,  2.98955690598,      328.35259365720},
2054     {     0.00000000114,  2.38099208126,    10213.28554621100},
2055     {     0.00000000127,  2.38558048946,      842.15068148810},
2056     {     0.00000000131,  3.01936629873,      635.96513305090},
2057     {     0.00000000138,  0.44662144244,      838.96928775040},
2058     {     0.00000000129,  4.25513451348,      310.17209453310},
2059     {     0.00000000148,  0.41799256546,      594.91133610630},
2060     {     0.00000000149,  4.10330124264,       98.35747180340},
2061     {     0.00000000109,  2.88811868696,       42.06518890090},
2062     {     0.00000000109,  3.78134972711,       40.58071619260},
2063     {     0.00000000108,  2.55916728156,      199.28444975750},
2064     {     0.00000000125,  0.48048283452,      404.61866493280},
2065     {     0.00000000135,  2.87189439592,      167.72244439930},
2066     {     0.00000000118,  3.07682081692,      327.43756992050},
2067     {     0.00000000119,  5.78903264789,      260.36021918500},
2068     {     0.00000000111,  3.22737687538,       15.49911838880},
2069     {     0.00000000109,  6.27549146354,       73.13706716460},
2070     {     0.00000000109,  4.70945671248,       76.42612997000},
2071     {     0.00000000126,  2.80187501225,      639.89728631400},
2072     {     0.00000000105,  1.48616898015,      405.99126305650},
2073     {     0.00000000116,  4.85863853667,     1515.77576942480},
2074     {     0.00000000114,  2.76818793591,      291.70403072770},
2075     {     0.00000000107,  1.11766952208,      271.61836777000},
2076     {     0.00000000111,  2.87343319463,      410.13586464070},
2077     {     0.00000000111,  0.27810454195,      255.83736509090},
2078     {     0.00000000118,  5.07878372226,      679.25416222920},
2079     {     0.00000000099,  1.51676782588,      194.28851491140},
2080     {     0.00000000099,  1.03758417112,      703.63318461740},
2081     {     0.00000000130,  1.66666180289,      403.02231763990},
2082     {     0.00000000123,  6.11422629384,      365.00115658670},
2083     {     0.00000000104,  5.23997703346,      141.48644228730},
2084     {     0.00000000115,  6.23621039514,      214.78356814630},
2085     {     0.00000000096,  0.43424417561,       35.68535508300},
2086     {     0.00000000103,  1.06002930749,       76.37794586020},
2087     {     0.00000000104,  2.65595803065,      742.99006053260},
2088     {     0.00000000115,  5.22994397833,      511.53171782990},
2089     {     0.00000000094,  2.74704482453,       80.41067285980},
2090     {     0.00000000128,  0.77030466848,      806.72595883600},
2091     {     0.00000000110,  5.29132647687,      274.58731318660},
2092     {     0.00000000114,  2.57034943327,       69.15252427480},
2093     {     0.00000000095,  2.62834936080,      217.44369702220},
2094     {     0.00000000113,  0.31878741567,      228.79821382680},
2095     {     0.00000000094,  1.09024515607,      779.89925589300},
2096     {     0.00000000104,  1.63565182098,     1438.02522544090},
2097     {     0.00000000123,  0.31994708206,      205.22234059070},
2098     {     0.00000000089,  3.89481868438,      273.85360000370},
2099     {     0.00000000111,  5.23314925278,      115.88357962170},
2100     {     0.00000000090,  0.08059052014,      543.91805909620},
2101     {     0.00000000103,  1.50283068334,      316.39186965660},
2102     {     0.00000000114,  4.07327336627,      303.86169668440},
2103     {     0.00000000121,  2.40722327908,       89.00869256890},
2104     {     0.00000000085,  2.88976414563,      481.73606947030},
2105     {     0.00000000102,  3.36728076478,      731.94436026870},
2106     {     0.00000000095,  4.08252009963,      223.45102382460},
2107     {     0.00000000103,  1.17394061445,       30.59879751170},
2108     {     0.00000000082,  2.25221007280,      180.79513409270},
2109     {     0.00000000088,  3.62556128338,       73.18525127440},
2110     {     0.00000000106,  5.05420123147,       82.64590509350},
2111     {     0.00000000080,  6.02853833502,      343.21857259960},
2112     {     0.00000000086,  5.34618023172,      107.02492748170},
2113     {     0.00000000096,  1.56226891458,      768.85355562910},
2114     {     0.00000000090,  5.07169537551,      534.42626750980},
2115     {     0.00000000098,  4.92252492060,      582.38116313410},
2116     {     0.00000000101,  0.84796065157,      602.98809095360},
2117     {     0.00000000083,  1.65460715725,      753.14198891920},
2118     {     0.00000000078,  5.51638181769,       74.73341445750},
2119     {     0.00000000093,  5.84400145456,      774.48262992160},
2120     {     0.00000000089,  0.95563866426,        6.90109867970},
2121     {     0.00000000087,  4.41987284863,      552.58551477450},
2122     {     0.00000000103,  4.60346642754,      370.93904741990},
2123     {     0.00000000077,  4.77404419830,      242.50404296660},
2124     {     0.00000000075,  3.39192079177,      118.02244363580},
2125     {     0.00000000076,  1.05747326519,       79.88940799800},
2126     {     0.00000000079,  3.54181953824,      758.77106321170},
2127     {     0.00000000074,  3.98963783883,      301.41401612960},
2128     {     0.00000000078,  1.82705732908,       74.82978267710},
2129     {     0.00000000074,  1.08013205637,      107.91869935900},
2130     {     0.00000000074,  5.37621944193,      473.65931462300},
2131     {     0.00000000078,  2.52470639403,      103.98654609590},
2132     {     0.00000000073,  1.33099035143,      117.31986822020},
2133     {     0.00000000073,  3.86314726423,       47.69426319340},
2134     {     0.00000000079,  3.79190807969,      243.98851567490},
2135     {     0.00000000079,  1.85527149881,      495.96316347190},
2136     {     0.00000000083,  4.63377403454,      147.86627610520},
2137     {     0.00000000075,  3.25894652055,      195.77298761970},
2138     {     0.00000000083,  2.51263535489,       73.88782669000},
2139     {     0.00000000076,  0.65318077927,     6283.07584999140},
2140     {     0.00000000074,  2.98225723938,       77.06922042770},
2141     {     0.00000000095,  1.54407527959,      210.85141488320},
2142     {     0.00000000072,  5.49406740322,       74.62153987290},
2143     {     0.00000000083,  3.32264980311,     1366.21257229020},
2144     {     0.00000000074,  3.65696853700,       69.67378913660},
2145     {     0.00000000074,  3.23127044816,      208.84567731310},
2146     {     0.00000000080,  4.36056904242,     1662.96072197380},
2147     {     0.00000000073,  5.26531290370,      130.44074202340},
2148     {     0.00000000071,  4.81609825971,      321.12717207180},
2149     {     0.00000000076,  2.51848136880,       84.93352695390},
2150     {     0.00000000097,  2.40670778188,       75.67537044460},
2151     {     0.00000000078,  5.68434801179,      221.89711514710},
2152 ];
2153 
2154 
2155 static const ln_vsop[LONG_L2] uranus_longitude_l2 = [
2156     {     0.00002349469,  2.26708640433,       74.78159856730},
2157     {     0.00000848806,  3.14159265359,        0.00000000000},
2158     {     0.00000768983,  4.52562378749,       11.04570026390},
2159     {     0.00000551555,  3.25819322040,       63.73589830340},
2160     {     0.00000541559,  2.27572631399,        3.93215326310},
2161     {     0.00000529491,  4.92336172394,        1.48447270830},
2162     {     0.00000257527,  3.69060540044,        3.18139373770},
2163     {     0.00000182036,  6.21866555925,       70.84944530420},
2164     {     0.00000184429,  5.05954505833,      149.56319713460},
2165     {     0.00000049505,  6.03085160423,       56.62235130260},
2166     {     0.00000053456,  1.45801353517,       76.26607127560},
2167     {     0.00000038334,  1.78433163102,       52.69019803950},
2168     {     0.00000044885,  3.90644983662,        2.44768055480},
2169     {     0.00000044623,  0.81232539761,       85.82729883120},
2170     {     0.00000037373,  4.46132739805,        2.96894541660},
2171     {     0.00000033044,  0.86461989031,        9.56122755560},
2172     {     0.00000024305,  2.10670976428,       18.15924726470},
2173     {     0.00000029250,  5.09724793503,       73.29712585900},
2174     {     0.00000022309,  4.81978108793,       78.71375183040},
2175     {     0.00000022283,  5.99230347559,      138.51749687070},
2176     {     0.00000017230,  2.53731197138,      145.63104387150},
2177     {     0.00000021416,  2.39692592406,       77.96299230500},
2178     {     0.00000015114,  1.43013979998,      224.34479570190},
2179     {     0.00000016756,  3.46508324378,       12.53017297220},
2180     {     0.00000012003,  0.01666017885,       22.09140052780},
2181     {     0.00000010497,  4.47250656935,       62.25142559510},
2182     {     0.00000010943,  0.08477481315,      127.47179660680},
2183     {     0.00000008683,  4.25475342937,        7.11354700080},
2184     {     0.00000010478,  5.16510093405,       71.60020482960},
2185     {     0.00000007208,  1.25579094145,        5.41662597140},
2186     {     0.00000008383,  5.49939298653,       67.66805156650},
2187     {     0.00000006079,  5.44023447414,       65.22037101170},
2188     {     0.00000005718,  1.83543074459,      202.25339517410},
2189     {     0.00000006109,  3.36329480272,      447.79581952650},
2190     {     0.00000006002,  5.72509014963,      462.02291352810},
2191     {     0.00000005684,  4.14533132422,      151.04766984290},
2192     {     0.00000005091,  3.52369031374,       59.80374504030},
2193     {     0.00000005147,  1.05915315998,      131.40394986990},
2194     {     0.00000004917,  3.38475371297,        4.45341812490},
2195     {     0.00000004818,  1.20436413021,       71.81265315070},
2196     {     0.00000004697,  6.13059120042,      148.07872442630},
2197     {     0.00000003950,  0.69544777458,       77.75054398390},
2198     {     0.00000003655,  1.75283968054,      351.81659230870},
2199     {     0.00000003144,  3.30914690507,      160.60889739850},
2200     {     0.00000003170,  6.13784634729,       77.22927912210},
2201     {     0.00000003149,  3.83524373649,       45.57665103870},
2202     {     0.00000003616,  4.56973348262,      454.90936652730},
2203     {     0.00000002673,  1.05631111199,       69.36497259590},
2204     {     0.00000002660,  5.35501232753,      269.92144674060},
2205     {     0.00000002315,  2.61423820966,       84.34282612290},
2206     {     0.00000002258,  5.07517615514,       14.97785352700},
2207     {     0.00000002249,  1.37812609668,      284.14854074220},
2208     {     0.00000002072,  4.34966778360,      984.60033162190},
2209     {     0.00000002101,  2.31175293338,      120.35824960600},
2210     {     0.00000001808,  0.52249831108,      137.03302416240},
2211     {     0.00000001849,  5.69618054054,       54.17467074780},
2212     {     0.00000001983,  3.87043200848,      195.13984817330},
2213     {     0.00000001632,  5.07069503204,      209.36694217490},
2214     {     0.00000001578,  2.91229378751,       51.20572533120},
2215     {     0.00000001722,  6.25913624391,       41.64449777560},
2216     {     0.00000001656,  6.26113629911,      277.03499374140},
2217     {     0.00000001822,  1.24304611018,       35.16409022120},
2218     {     0.00000001345,  2.04057300383,       70.32818044240},
2219     {     0.00000001253,  2.65486278486,      134.58534360760},
2220     {     0.00000001239,  4.63255501972,       92.94084583200},
2221     {     0.00000001369,  6.08201469405,       87.31177153950},
2222     {     0.00000001277,  5.87454788183,       60.55450456570},
2223     {     0.00000001281,  2.51504858314,       72.33391801250},
2224     {     0.00000001250,  1.09008933023,      213.29909543800},
2225     {     0.00000001055,  4.00338488062,      299.12639426920},
2226     {     0.00000001133,  4.64929170681,      152.74459087230},
2227     {     0.00000001082,  1.07336611951,      153.49535039770},
2228     {     0.00000001037,  4.82158521698,      116.42609634290},
2229     {     0.00000000863,  3.56774115747,      340.77089204480},
2230     {     0.00000000957,  2.11521253777,       20.60692781950},
2231     {     0.00000000952,  2.47170644510,      380.12776796000},
2232     {     0.00000000836,  6.12347738126,       49.50880430180},
2233     {     0.00000000808,  0.29677438017,      191.20769491020},
2234     {     0.00000000808,  4.08162792952,       14.22709400160},
2235     {     0.00000000792,  6.17091063120,      344.70304530790},
2236     {     0.00000000791,  2.37030711541,       58.10682401090},
2237     {     0.00000000914,  2.11419968166,       14.01464568050},
2238     {     0.00000000788,  0.75228496417,      408.43894361130},
2239     {     0.00000000763,  2.38121244677,      222.86032299360},
2240     {     0.00000000891,  2.04340711828,      265.98929347750},
2241     {     0.00000000730,  3.10064098912,      422.66603761290},
2242     {     0.00000000765,  0.77723827220,       76.47851959670},
2243     {     0.00000000645,  2.77108845143,       96.87299909510},
2244     {     0.00000000745,  2.35633194869,      358.93013930950},
2245     {     0.00000000620,  1.98188971784,       33.67961751290},
2246     {     0.00000000655,  3.85415850280,       16.67477455640},
2247     {     0.00000000608,  0.15790159997,       28.31117565130},
2248     {     0.00000000587,  1.09637968292,       55.13787859430},
2249     {     0.00000000617,  1.70137701054,        8.07675484730},
2250     {     0.00000000645,  5.17890892522,       23.57587323610},
2251     {     0.00000000589,  3.39293635432,      144.14657116320},
2252     {     0.00000000598,  3.77279530334,       80.19822453870},
2253     {     0.00000000562,  4.90624120147,       35.42472265210},
2254     {     0.00000000587,  4.33026772564,       29.20494752860},
2255     {     0.00000000474,  0.88680405794,      565.11568774670},
2256     {     0.00000000477,  3.44956358856,      128.95626931510},
2257     {     0.00000000432,  1.05836005695,       19.64371997300},
2258     {     0.00000000480,  5.27492573341,      206.18554843720},
2259     {     0.00000000454,  6.05565972578,       70.11573212130},
2260     {     0.00000000413,  0.42595505653,      225.82926841020},
2261     {     0.00000000458,  5.47151191138,      333.65734504400},
2262     {     0.00000000528,  2.27025758420,       38.13303563780},
2263     {     0.00000000447,  0.91893151458,      373.01422095920},
2264     {     0.00000000511,  1.59897693264,      142.44965013380},
2265     {     0.00000000420,  5.77293204332,      146.59425171800},
2266     {     0.00000000383,  1.91679738697,        5.62907429250},
2267     {     0.00000000382,  3.04339660220,      152.53214255120},
2268     {     0.00000000418,  1.05236603665,      125.98732389850},
2269     {     0.00000000372,  2.85710020233,      200.76892246580},
2270     {     0.00000000496,  1.92980650193,      415.55249061210},
2271     {     0.00000000370,  3.22212427220,      387.24131496080},
2272     {     0.00000000387,  2.79134085638,       81.89514556810},
2273     {     0.00000000357,  4.64158965749,      220.41264243880},
2274     {     0.00000000345,  2.98021540638,      429.77958461370},
2275     {     0.00000000335,  5.29062985955,       13.33332212430},
2276     {     0.00000000320,  1.62674909598,       99.16062095550},
2277     {     0.00000000320,  0.74685145174,      347.88443904560},
2278     {     0.00000000288,  2.44437048636,      546.95644048200},
2279     {     0.00000000275,  0.62680026669,       31.49256938900},
2280     {     0.00000000281,  6.04447663913,      456.39383923560},
2281     {     0.00000000270,  2.79378345550,      977.48678462110},
2282     {     0.00000000268,  4.64955164739,      230.56457082540},
2283     {     0.00000000271,  0.59225635449,     1894.41906467650},
2284     {     0.00000000263,  3.49309481771,      440.68227252570},
2285     {     0.00000000253,  1.90016027905,      129.91947716160},
2286     {     0.00000000271,  4.82853730065,      561.18353448360},
2287     {     0.00000000259,  0.27190856999,      373.90799283650},
2288     {     0.00000000314,  1.47136601206,       24.37902238820},
2289     {     0.00000000261,  0.09830739366,      991.71387862270},
2290     {     0.00000000235,  5.13968661425,      479.28838891550},
2291     {     0.00000000231,  1.38106363280,      391.17346822390},
2292     {     0.00000000230,  4.81251240097,      159.12442469020},
2293     {     0.00000000305,  4.45518458920,      112.91463420510},
2294     {     0.00000000311,  4.82238770299,      108.46121608020},
2295     {     0.00000000233,  4.25631985431,      365.90067395840},
2296     {     0.00000000261,  1.59315260466,       17.26547538740},
2297     {     0.00000000233,  2.83623217386,      376.19561469690},
2298     {     0.00000000294,  1.66582514618,      124.29040286910},
2299     {     0.00000000213,  1.07884329091,      288.08069400530},
2300     {     0.00000000207,  5.03566431809,      297.64192156090},
2301     {     0.00000000201,  1.68940522081,      135.54855145410},
2302     {     0.00000000231,  2.24878224928,      152.01087768940},
2303     {     0.00000000216,  6.19661665314,      490.33408917940},
2304     {     0.00000000236,  4.93084016804,      458.09076026500},
2305     {     0.00000000225,  0.22664678208,      254.94359321360},
2306     {     0.00000000213,  0.12942394964,      411.62033734900},
2307     {     0.00000000193,  3.70727194044,      353.30106501700},
2308     {     0.00000000214,  2.37863059014,      184.09414790940},
2309     {     0.00000000211,  2.16158427984,      162.09337010680},
2310     {     0.00000000208,  3.81481624262,      258.87574647670},
2311     {     0.00000000188,  0.23642242835,       74.89347315190},
2312     {     0.00000000229,  5.33297149225,      827.17282796110},
2313     {     0.00000000196,  3.41624470471,      173.94221952280},
2314     {     0.00000000186,  1.25407717254,       74.66972398270},
2315     {     0.00000000219,  1.22774377372,      305.34616939270},
2316     {     0.00000000184,  0.07653324668,      969.62247809490},
2317     {     0.00000000181,  5.50268986350,      983.11585891360},
2318     {     0.00000000234,  1.43222813448,      146.38180339690},
2319     {     0.00000000191,  4.02315888568,      774.48262992160},
2320     {     0.00000000176,  0.36587651982,      100.38446123290},
2321     {     0.00000000174,  0.35464783229,      354.99798604640},
2322     {     0.00000000174,  2.81203626850,      140.00196957900},
2323     {     0.00000000201,  1.04955848325,      316.39186965660},
2324     {     0.00000000172,  0.67782414229,      167.72244439930},
2325     {     0.00000000175,  5.90738517293,      235.39049596580},
2326     {     0.00000000171,  1.90443657327,       33.13710079170},
2327     {     0.00000000174,  5.60867787733,      469.13646052890},
2328     {     0.00000000179,  2.38892600195,      486.40193591630},
2329     {     0.00000000171,  1.27067391131,      291.26208774300},
2330     {     0.00000000175,  3.15884013286,       66.91729204110},
2331     {     0.00000000209,  5.78799629527,      111.43016149680},
2332     {     0.00000000171,  5.43315629209,       42.53826965290},
2333     {     0.00000000203,  1.58369655553,      298.23262239190},
2334     {     0.00000000166,  4.78948867256,     1514.29129671650},
2335     {     0.00000000174,  0.56063488876,      521.09294538550},
2336     {     0.00000000205,  3.48282420941,      404.50679034820},
2337     {     0.00000000171,  2.91325849153,      535.32003938710},
2338     {     0.00000000177,  0.86306620537,      472.17484191470},
2339     {     0.00000000184,  2.92293138603,      881.50755740330},
2340     {     0.00000000166,  4.78927133151,      109.94568878850},
2341     {     0.00000000188,  0.57920908215,      369.08206769610},
2342     {     0.00000000155,  1.28199332469,       89.75945209430},
2343     {     0.00000000156,  2.77376676007,      141.69889060840},
2344     {     0.00000000163,  6.18149717003,     1357.61455258110},
2345     {     0.00000000154,  6.13255592810,      218.92816973050},
2346     {     0.00000000151,  2.69773648190,      132.88842257820},
2347     {     0.00000000164,  5.23606804941,     1094.80665284130},
2348     {     0.00000000157,  3.34238375767,      268.43697403230},
2349     {     0.00000000169,  1.82777920099,      398.28701522470},
2350     {     0.00000000178,  3.45386061878,      685.47393735270},
2351     {     0.00000000148,  2.98873276090,      211.81462272970},
2352     {     0.00000000155,  1.72159478356,      679.25416222920},
2353     {     0.00000000148,  0.95649146876,      867.28046340170},
2354     {     0.00000000191,  3.62538073529,      554.06998748280},
2355     {     0.00000000178,  2.10923963877,      661.09491496450},
2356     {     0.00000000135,  6.06368720482,      980.66817835880},
2357     {     0.00000000135,  5.96857483510,       91.45637312370},
2358     {     0.00000000130,  4.36914393286,      273.10284047830},
2359     {     0.00000000153,  3.49640803991,      228.27694896500},
2360     {     0.00000000130,  2.72570287614,      522.57741809380},
2361     {     0.00000000143,  5.02900860888,      536.80451209540},
2362     {     0.00000000126,  1.93883254906,      909.81873305460},
2363     {     0.00000000127,  1.78014700856,      205.43478891180},
2364     {     0.00000000140,  0.83038018169,      535.91074021810},
2365     {     0.00000000127,  5.06009501625,      275.55052103310},
2366     {     0.00000000129,  3.77988686343,      483.22054217860},
2367     {     0.00000000118,  5.83292150811,      703.63318461740},
2368     {     0.00000000130,  4.52188865601,      216.48048917570},
2369     {     0.00000000117,  3.97236048113,      135.33610313300},
2370     {     0.00000000110,  4.10507371008,      433.71173787680},
2371     {     0.00000000113,  1.51901732866,      384.05992122310},
2372     {     0.00000000107,  0.99334138425,      295.19424100610},
2373     {     0.00000000131,  3.98415139373,       73.08467753790},
2374     {     0.00000000108,  4.07981007546,      203.73786788240},
2375     {     0.00000000109,  3.04776608048,      300.61086697750},
2376     {     0.00000000109,  1.22958797958,      525.75881183150},
2377     {     0.00000000131,  2.99178036398,       75.74480641380},
2378     {     0.00000000103,  4.46390192594,      579.34278174830},
2379     {     0.00000000109,  1.99182565930,       60.76695288680},
2380     {     0.00000000121,  0.73822914508,      248.72381809010},
2381     {     0.00000000106,  2.04571727537,     2043.98226181110},
2382     {     0.00000000102,  4.88960169615,      831.10498122420},
2383     {     0.00000000099,  3.81282044986,       73.81839072080},
2384     {     0.00000000094,  5.78362714209,      350.33211960040},
2385     {     0.00000000114,  2.09397520178,      278.51946644970},
2386     {     0.00000000089,  5.90655259674,       79.23501669220},
2387     {     0.00000000097,  2.67425330058,      221.37585028530},
2388     {     0.00000000089,  6.25528198072,      234.49672408850},
2389     {     0.00000000085,  0.13307608646,      639.89728631400},
2390     {     0.00000000090,  5.53000751155,      827.92358748650},
2391     {     0.00000000080,  5.34711145866,      181.05576652360},
2392     {     0.00000000079,  0.95205771963,      426.59819087600},
2393     {     0.00000000084,  3.97140652554,      336.83873878170},
2394     {     0.00000000080,  5.24056087129,      504.56118318100},
2395     {     0.00000000078,  2.26526379571,      450.97721326420},
2396     {     0.00000000081,  1.32480509617,       89.00869256890},
2397     {     0.00000000108,  1.50473495412,       25.27279426550},
2398     {     0.00000000077,  0.31815291828,      447.20511869550},
2399     {     0.00000000081,  4.64364910706,     1208.05135544650},
2400     {     0.00000000077,  5.90631938483,      515.46387109300},
2401     {     0.00000000095,  5.82143764459,      453.42489381900},
2402     {     0.00000000077,  3.56359211434,       82.85835341460},
2403     {     0.00000000093,  0.38301745790,      699.70103135430},
2404     {     0.00000000076,  4.16820366863,       95.38852638680},
2405     {     0.00000000076,  1.49535232496,      849.26422848890},
2406     {     0.00000000099,  2.79074529357,      184.72728735580},
2407     {     0.00000000076,  6.13770068285,      123.53964334370},
2408     {     0.00000000104,  6.25653942640,      443.86366626340},
2409     {     0.00000000073,  3.57936315445,      180.16199464630},
2410     {     0.00000000083,  1.56888177127,      306.83064210100},
2411     {     0.00000000087,  0.74135830037,      227.52618943960},
2412     {     0.00000000079,  1.91762400825,      901.95442652840},
2413     {     0.00000000089,  3.64708770174,      810.65811209910},
2414     {     0.00000000084,  1.50560186863,      419.48464387520},
2415 ];
2416 
2417 
2418 static const ln_vsop[LONG_L3] uranus_longitude_l3 = [
2419     {     0.00000122192,  0.02112102225,       74.78159856730},
2420     {     0.00000068195,  4.12138633187,        3.93215326310},
2421     {     0.00000052729,  2.38808499397,       11.04570026390},
2422     {     0.00000043714,  2.95937380925,        1.48447270830},
2423     {     0.00000045405,  2.04405402149,        3.18139373770},
2424     {     0.00000024903,  4.88680075600,       63.73589830340},
2425     {     0.00000021004,  4.54879176205,       70.84944530420},
2426     {     0.00000008985,  1.58255257968,       56.62235130260},
2427     {     0.00000009158,  2.57000447334,      149.56319713460},
2428     {     0.00000010361,  0.00000000000,        0.00000000000},
2429     {     0.00000004261,  0.22780215466,       18.15924726470},
2430     {     0.00000003625,  5.38367304590,       76.26607127560},
2431     {     0.00000003244,  5.01058611704,       85.82729883120},
2432     {     0.00000003488,  4.13160885916,       52.69019803950},
2433     {     0.00000003570,  0.94065081296,       77.96299230500},
2434     {     0.00000002738,  0.40346535540,       78.71375183040},
2435     {     0.00000002233,  0.87157987676,      145.63104387150},
2436     {     0.00000001948,  2.67957461817,        7.11354700080},
2437     {     0.00000002120,  5.64073933192,        9.56122755560},
2438     {     0.00000001566,  5.46300116637,       73.29712585900},
2439     {     0.00000001308,  1.25835033636,       12.53017297220},
2440     {     0.00000001616,  0.49324165265,       71.60020482960},
2441     {     0.00000001230,  3.93093451148,       22.09140052780},
2442     {     0.00000000906,  2.17573166732,      127.47179660680},
2443     {     0.00000000811,  5.08300105756,      447.79581952650},
2444     {     0.00000000800,  4.00214562488,      462.02291352810},
2445     {     0.00000000718,  0.34600103024,        5.62907429250},
2446     {     0.00000000718,  1.19635899416,      138.51749687070},
2447     {     0.00000000680,  2.94444506110,      131.40394986990},
2448     {     0.00000000581,  5.14726797687,      224.34479570190},
2449     {     0.00000000406,  4.33376335103,      120.35824960600},
2450     {     0.00000000376,  0.75784834422,      269.92144674060},
2451     {     0.00000000347,  5.94165731686,      284.14854074220},
2452     {     0.00000000345,  3.05968942771,      561.18353448360},
2453     {     0.00000000343,  4.01891371998,      546.95644048200},
2454     {     0.00000000376,  5.95844060660,       45.57665103870},
2455     {     0.00000000334,  1.61761448243,      151.04766984290},
2456     {     0.00000000284,  1.12863896480,      134.58534360760},
2457     {     0.00000000278,  3.43135401420,      202.25339517410},
2458     {     0.00000000374,  3.31569280991,      152.74459087230},
2459     {     0.00000000268,  3.24741531524,      536.80451209540},
2460     {     0.00000000358,  1.10916640253,      333.65734504400},
2461     {     0.00000000355,  2.95198893484,      153.49535039770},
2462     {     0.00000000236,  4.64852235589,      387.24131496080},
2463     {     0.00000000223,  5.11416165165,      347.88443904560},
2464     {     0.00000000245,  5.19436628400,       81.89514556810},
2465     {     0.00000000228,  3.74138931830,       87.31177153950},
2466     {     0.00000000226,  4.29682981394,       77.75054398390},
2467     {     0.00000000234,  5.80540756495,       67.66805156650},
2468     {     0.00000000288,  5.72707827196,      195.13984817330},
2469     {     0.00000000201,  1.74602592032,      213.29909543800},
2470     {     0.00000000204,  5.81145810966,      373.01422095920},
2471     {     0.00000000187,  2.35512484122,      124.29040286910},
2472     {     0.00000000185,  3.12619552579,      148.07872442630},
2473     {     0.00000000170,  1.91718323832,       59.80374504030},
2474     {     0.00000000165,  3.46463258943,      209.36694217490},
2475     {     0.00000000171,  6.12119673115,      351.81659230870},
2476     {     0.00000000191,  5.50650694321,       73.08467753790},
2477     {     0.00000000154,  2.74592153459,       92.94084583200},
2478     {     0.00000000187,  2.88710400041,      146.38180339690},
2479     {     0.00000000142,  3.34786225013,       72.33391801250},
2480     {     0.00000000130,  1.06884333081,       84.34282612290},
2481     {     0.00000000156,  1.27379656026,      160.60889739850},
2482     {     0.00000000112,  2.52374006072,       62.25142559510},
2483     {     0.00000000096,  2.43808447701,      288.08069400530},
2484     {     0.00000000104,  4.80942792304,      144.14657116320},
2485     {     0.00000000090,  4.64083951502,      411.62033734900},
2486     {     0.00000000080,  3.36996054975,      497.44763618020},
2487     {     0.00000000085,  2.90593266919,      483.22054217860},
2488 ];
2489 
2490 
2491 static const ln_vsop[LONG_L4] uranus_longitude_l4 = [
2492     {     0.00000005536,  4.57721551627,       74.78159856730},
2493     {     0.00000003183,  0.34467460171,       11.04570026390},
2494     {     0.00000001207,  3.40871377105,       56.62235130260},
2495     {     0.00000000634,  4.65445189526,       18.15924726470},
2496     {     0.00000000359,  0.67024156853,      149.56319713460},
2497     {     0.00000000247,  2.07784257495,       63.73589830340},
2498     {     0.00000000109,  2.75514337970,       85.82729883120},
2499     {     0.00000000092,  5.02598538441,      131.40394986990},
2500 ];
2501 
2502 
2503 static const ln_vsop[LAT_B0] uranus_latitude_b0 = [
2504     {     0.01346277648,  2.61877810547,       74.78159856730},
2505     {     0.00062341400,  5.08111189648,      149.56319713460},
2506     {     0.00061601196,  3.14159265359,        0.00000000000},
2507     {     0.00009963722,  1.61603805646,       76.26607127560},
2508     {     0.00009926160,  0.57630380333,       73.29712585900},
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2776     {     0.00000000192,  0.41644241830,        0.96320784650},
2777     {     0.00000000141,  1.70340116374,      531.17543780290},
2778     {     0.00000000149,  3.99276635695,      228.79821382680},
2779     {     0.00000000137,  6.20556096334,      369.45457471160},
2780     {     0.00000000145,  3.96204016046,      350.33211960040},
2781     {     0.00000000126,  5.28560984253,      329.83706636550},
2782     {     0.00000000132,  4.51993002555,      148.59998928810},
2783     {     0.00000000125,  4.24716365077,      248.72381809010},
2784     {     0.00000000131,  4.06190440824,      526.72201967800},
2785     {     0.00000000120,  4.08620475792,      154.97982310600},
2786     {     0.00000000134,  3.16619358295,      262.47783133970},
2787     {     0.00000000121,  2.31292076167,      232.04904353370},
2788     {     0.00000000125,  4.25542060721,      377.15882254340},
2789     {     0.00000000119,  4.12193841810,      404.61866493280},
2790     {     0.00000000130,  6.09762672394,      171.65459766240},
2791     {     0.00000000127,  3.76800714166,      369.08206769610},
2792     {     0.00000000100,  2.65367785044,      703.63318461740},
2793     {     0.00000000127,  3.33536864400,      149.04193227280},
2794     {     0.00000000116,  4.77834673196,     1289.94650101460},
2795     {     0.00000000096,  2.47155169370,      210.33015002140},
2796     {     0.00000000097,  1.08835035283,      156.15547927360},
2797     {     0.00000000108,  3.07832539912,     6133.51265285680},
2798     {     0.00000000108,  2.03236554349,     6283.07584999140},
2799     {     0.00000000100,  4.75380350867,      218.92816973050},
2800     {     0.00000000093,  1.66567734962,      668.20846196530},
2801     {     0.00000000097,  0.64083375068,      252.65597135320},
2802     {     0.00000000091,  4.11478686503,      166.82867252200},
2803     {     0.00000000089,  4.92738306385,      353.30106501700},
2804     {     0.00000000081,  1.42684401779,      831.10498122420},
2805     {     0.00000000084,  2.75226196759,      217.23124870110},
2806     {     0.00000000083,  4.26421510316,      383.09671337660},
2807     {     0.00000000098,  0.58553892847,      339.28641933650},
2808     {     0.00000000101,  4.62998086587,      756.32338265690},
2809     {     0.00000000079,  5.79692522120,      443.86366626340},
2810     {     0.00000000075,  3.39046285130,      447.20511869550},
2811     {     0.00000000076,  0.11314255037,      406.10313764110},
2812     {     0.00000000074,  0.54434880673,       33.13710079170},
2813     {     0.00000000075,  2.44458975326,      120.99138905240},
2814     {     0.00000000074,  0.63126666381,      335.77495719870},
2815 ];
2816 
2817 
2818 static const ln_vsop[LAT_B1] uranus_latitude_b1 = [
2819     {     0.00034101978,  0.01321929936,       74.78159856730},
2820     {     0.00002480115,  2.73961370453,      149.56319713460},
2821     {     0.00001719377,  0.00000000000,        0.00000000000},
2822     {     0.00000395276,  5.49322816551,       76.26607127560},
2823     {     0.00000308903,  3.61139770633,       73.29712585900},
2824     {     0.00000181125,  5.32079457105,      224.34479570190},
2825     {     0.00000144520,  4.22110521671,       63.73589830340},
2826     {     0.00000076343,  4.54620999213,       85.82729883120},
2827     {     0.00000072633,  5.97811706013,        1.48447270830},
2828     {     0.00000065492,  2.77607065171,       11.04570026390},
2829     {     0.00000063931,  6.15917217447,      138.51749687070},
2830     {     0.00000050972,  1.79457572126,      151.04766984290},
2831     {     0.00000039930,  3.59559614775,      148.07872442630},
2832     {     0.00000036667,  3.82753352893,       70.84944530420},
2833     {     0.00000026969,  4.71074996908,       78.71375183040},
2834     {     0.00000027205,  4.22769491494,       71.81265315070},
2835     {     0.00000022074,  4.76357435668,      213.29909543800},
2836     {     0.00000022655,  4.40615405121,       77.75054398390},
2837     {     0.00000015720,  1.55930265947,      529.69096509460},
2838     {     0.00000010090,  5.83224201984,      145.63104387150},
2839     {     0.00000012912,  1.56375170441,      299.12639426920},
2840     {     0.00000007956,  5.02287526190,        2.96894541660},
2841     {     0.00000008579,  6.26698868752,      222.86032299360},
2842     {     0.00000007534,  0.80106371071,      160.60889739850},
2843     {     0.00000006679,  2.78528388060,        3.93215326310},
2844     {     0.00000005496,  3.31254191722,       77.96299230500},
2845     {     0.00000005232,  5.06918050814,       71.60020482960},
2846     {     0.00000004398,  4.52763457543,      380.12776796000},
2847     {     0.00000005025,  1.23324638522,       52.69019803950},
2848     {     0.00000005160,  4.31709832477,      225.82926841020},
2849     {     0.00000003310,  3.75868972095,       35.16409022120},
2850     {     0.00000003866,  1.26370982350,       65.22037101170},
2851     {     0.00000003055,  0.62704236969,      152.53214255120},
2852     {     0.00000002433,  5.16881959896,       39.61750834610},
2853     {     0.00000003040,  2.69522691477,      202.25339517410},
2854     {     0.00000002312,  5.05125177167,       22.09140052780},
2855     {     0.00000002685,  0.39348299350,       84.34282612290},
2856     {     0.00000002372,  5.24162482086,       56.62235130260},
2857     {     0.00000002088,  1.79153906168,      220.41264243880},
2858     {     0.00000002085,  3.50728589034,       87.31177153950},
2859     {     0.00000002170,  0.92046078692,      153.49535039770},
2860     {     0.00000001813,  4.58205400420,      146.59425171800},
2861     {     0.00000001712,  3.46795755957,      111.43016149680},
2862     {     0.00000001669,  0.52544187039,      184.72728735580},
2863     {     0.00000001690,  3.51435037186,      351.81659230870},
2864     {     0.00000001623,  1.83332553557,       72.33391801250},
2865     {     0.00000001615,  3.22111940844,       79.23501669220},
2866     {     0.00000001443,  0.38490278682,        9.56122755560},
2867     {     0.00000001379,  2.25314683721,      131.40394986990},
2868     {     0.00000001471,  5.65482351957,       67.66805156650},
2869     {     0.00000001513,  1.70291762548,       12.53017297220},
2870     {     0.00000001219,  1.01279910067,      127.47179660680},
2871     {     0.00000001595,  5.26092020655,       62.25142559510},
2872     {     0.00000001392,  2.19044218730,      206.18554843720},
2873     {     0.00000001569,  3.39043730503,      277.03499374140},
2874     {     0.00000001560,  3.27054489518,       36.64856292950},
2875     {     0.00000001162,  0.53527505489,       77.22927912210},
2876     {     0.00000001085,  1.27498553595,       73.81839072080},
2877     {     0.00000001257,  0.04368108516,       18.15924726470},
2878     {     0.00000001047,  0.81042117668,       75.74480641380},
2879     {     0.00000001038,  3.90628138392,        4.45341812490},
2880     {     0.00000000956,  3.66430920732,       74.89347315190},
2881     {     0.00000001052,  2.41090141006,      297.64192156090},
2882     {     0.00000000976,  5.46581402543,       70.32818044240},
2883     {     0.00000001177,  0.17623728581,      426.59819087600},
2884     {     0.00000000853,  0.81527596999,      137.03302416240},
2885     {     0.00000000862,  1.76954399486,      305.34616939270},
2886     {     0.00000000726,  2.19758076790,      112.91463420510},
2887     {     0.00000000791,  2.49340799866,     1059.38193018920},
2888     {     0.00000000696,  4.12237397933,      109.94568878850},
2889     {     0.00000000694,  1.89100616611,       92.94084583200},
2890     {     0.00000000711,  4.06903566155,      373.90799283650},
2891     {     0.00000000584,  6.17026395543,       81.89514556810},
2892     {     0.00000000660,  4.96483571441,       74.66972398270},
2893     {     0.00000000566,  5.13046568900,      490.33408917940},
2894     {     0.00000000559,  0.90292303032,      221.37585028530},
2895     {     0.00000000692,  0.12427497048,        3.18139373770},
2896     {     0.00000000734,  0.60531957870,       38.13303563780},
2897     {     0.00000000532,  3.98648434092,      604.47256366190},
2898     {     0.00000000584,  5.06689547480,      288.08069400530},
2899     {     0.00000000629,  0.54026926209,       96.87299909510},
2900     {     0.00000000561,  4.73267608947,      454.90936652730},
2901     {     0.00000000470,  3.99280389290,       41.10198105440},
2902     {     0.00000000566,  6.02809954245,      191.20769491020},
2903     {     0.00000000507,  2.22687412142,      265.98929347750},
2904     {     0.00000000506,  1.87736218659,        7.11354700080},
2905     {     0.00000000439,  3.41337176747,       80.19822453870},
2906     {     0.00000000410,  2.50600627363,      142.44965013380},
2907     {     0.00000000422,  3.31613690285,      235.39049596580},
2908     {     0.00000000372,  4.59862949974,      536.80451209540},
2909     {     0.00000000371,  0.79783261377,      108.46121608020},
2910     {     0.00000000373,  4.56996089020,      415.55249061210},
2911     {     0.00000000351,  5.99218780431,      186.21176006410},
2912     {     0.00000000407,  4.34825659263,      340.77089204480},
2913     {     0.00000000328,  0.65738227750,       66.70484372000},
2914     {     0.00000000372,  5.10831450067,      522.57741809380},
2915     {     0.00000000343,  0.53613562161,      300.61086697750},
2916     {     0.00000000270,  1.27650196236,      703.63318461740},
2917     {     0.00000000278,  4.58530381992,      195.13984817330},
2918     {     0.00000000239,  0.43515793516,       33.13710079170},
2919     {     0.00000000237,  3.82041367450,      617.80588578620},
2920     {     0.00000000235,  4.20082783313,      116.42609634290},
2921     {     0.00000000235,  1.41272118988,      835.03713448730},
2922     {     0.00000000245,  4.77313758758,       41.64449777560},
2923     {     0.00000000198,  0.36712400018,        2.44768055480},
2924     {     0.00000000193,  3.18074408969,      387.24131496080},
2925     {     0.00000000204,  3.17054171814,      211.81462272970},
2926     {     0.00000000242,  1.23871652170,      146.38180339690},
2927     {     0.00000000227,  2.35811929824,      159.12442469020},
2928     {     0.00000000186,  5.03606957476,       14.97785352700},
2929     {     0.00000000211,  3.80164653477,      373.01422095920},
2930     {     0.00000000209,  3.12060090889,      227.31374111850},
2931     {     0.00000000166,  3.26464486430,      259.50888592310},
2932     {     0.00000000169,  1.43527176999,      152.74459087230},
2933     {     0.00000000127,  2.56383866135,      140.00196957900},
2934     {     0.00000000124,  6.03937004050,      162.09337010680},
2935     {     0.00000000118,  1.35527417493,      114.39910691340},
2936     {     0.00000000110,  1.36513996746,      183.24281464750},
2937     {     0.00000000109,  2.14362406822,      209.36694217490},
2938     {     0.00000000116,  3.42267498449,      228.27694896500},
2939     {     0.00000000104,  5.33634525923,      378.64329525170},
2940     {     0.00000000128,  5.42597035936,      230.56457082540},
2941     {     0.00000000115,  1.15568409498,      909.81873305460},
2942     {     0.00000000086,  1.55888062727,      344.70304530790},
2943     {     0.00000000098,  5.72850189948,      154.01661525950},
2944     {     0.00000000104,  5.06629922886,      145.10977900970},
2945     {     0.00000000099,  3.88447445684,       33.67961751290},
2946     {     0.00000000085,  6.15025173870,      269.92144674060},
2947     {     0.00000000085,  3.47642579503,      296.15744885260},
2948     {     0.00000000078,  0.83351167637,      144.14657116320},
2949 ];
2950 
2951 
2952 static const ln_vsop[LAT_B2] uranus_latitude_b2 = [
2953     {     0.00000764663,  1.74870957857,       74.78159856730},
2954     {     0.00000055734,  3.14159265359,        0.00000000000},
2955     {     0.00000025641,  5.67301557131,      149.56319713460},
2956     {     0.00000013335,  5.92348443969,       73.29712585900},
2957     {     0.00000006636,  2.30241577514,       85.82729883120},
2958     {     0.00000004926,  2.21241492976,       76.26607127560},
2959     {     0.00000004368,  0.76649493506,       11.04570026390},
2960     {     0.00000004095,  1.81604424547,       70.84944530420},
2961     {     0.00000003550,  2.72620892642,      224.34479570190},
2962     {     0.00000003556,  0.36898980602,       78.71375183040},
2963     {     0.00000003799,  1.75732801545,      138.51749687070},
2964     {     0.00000001820,  1.54477121376,       77.96299230500},
2965     {     0.00000001651,  1.41591379356,        1.48447270830},
2966     {     0.00000001608,  6.22512841748,      213.29909543800},
2967     {     0.00000001452,  3.90164387464,      145.63104387150},
2968     {     0.00000001245,  3.04960471697,      529.69096509460},
2969     {     0.00000001689,  0.57422602041,       71.60020482960},
2970     {     0.00000001082,  5.44260490226,      151.04766984290},
2971     {     0.00000001033,  5.50906270157,       63.73589830340},
2972     {     0.00000000979,  4.45089803473,        3.93215326310},
2973     {     0.00000000895,  4.45228515086,      148.07872442630},
2974     {     0.00000000610,  0.69755363233,       71.81265315070},
2975     {     0.00000000724,  4.66998863825,      160.60889739850},
2976     {     0.00000000377,  5.83975114717,      127.47179660680},
2977     {     0.00000000395,  2.05229057211,       77.75054398390},
2978     {     0.00000000333,  3.76580834650,      454.90936652730},
2979     {     0.00000000309,  4.06945653305,       18.15924726470},
2980     {     0.00000000286,  0.10714983850,      220.41264243880},
2981     {     0.00000000281,  5.45374336062,      299.12639426920},
2982     {     0.00000000323,  0.04948675860,       72.33391801250},
2983     {     0.00000000365,  2.39747909046,       56.62235130260},
2984     {     0.00000000258,  3.54572684987,       52.69019803950},
2985     {     0.00000000214,  1.99573431344,       22.09140052780},
2986     {     0.00000000220,  5.12637793339,        3.18139373770},
2987     {     0.00000000134,  4.08992196303,      131.40394986990},
2988     {     0.00000000147,  2.92139556480,      153.49535039770},
2989     {     0.00000000096,  1.97465913947,      225.82926841020},
2990     {     0.00000000076,  1.48178075191,      206.18554843720},
2991     {     0.00000000085,  2.49786959141,      380.12776796000},
2992 ];
2993 
2994 
2995 static const ln_vsop[LAT_B3] uranus_latitude_b3 = [
2996     {     0.00000021201,  3.16540759295,       74.78159856730},
2997     {     0.00000001182,  4.44441014271,      149.56319713460},
2998     {     0.00000001184,  3.14159265359,        0.00000000000},
2999     {     0.00000000433,  1.10371780340,       73.29712585900},
3000     {     0.00000000412,  0.43984657946,       76.26607127560},
3001     {     0.00000000466,  5.92951996029,       70.84944530420},
3002     {     0.00000000464,  1.88752032733,       78.71375183040},
3003     {     0.00000000404,  6.16046303283,       85.82729883120},
3004     {     0.00000000401,  1.68921956710,       63.73589830340},
3005     {     0.00000000295,  5.96253146711,       77.96299230500},
3006     {     0.00000000294,  1.85767623542,       71.60020482960},
3007     {     0.00000000174,  4.79023778832,       11.04570026390},
3008     {     0.00000000099,  0.42283006135,      224.34479570190},
3009     {     0.00000000088,  2.27837607751,      145.63104387150},
3010     {     0.00000000079,  3.66485269931,      138.51749687070},
3011 ];
3012 
3013 
3014 static const ln_vsop[RADIUS_R0] uranus_radius_r0 = [
3015     {    19.21264847206,  0.00000000000,        0.00000000000},
3016     {     0.88784984413,  5.60377527014,       74.78159856730},
3017     {     0.03440836062,  0.32836099706,       73.29712585900},
3018     {     0.02055653860,  1.78295159330,      149.56319713460},
3019     {     0.00649322410,  4.52247285911,       76.26607127560},
3020     {     0.00602247865,  3.86003823674,       63.73589830340},
3021     {     0.00496404167,  1.40139935333,      454.90936652730},
3022     {     0.00338525369,  1.58002770318,      138.51749687070},
3023     {     0.00243509114,  1.57086606044,       71.81265315070},
3024     {     0.00190522303,  1.99809394714,        1.48447270830},
3025     {     0.00161858838,  2.79137786799,      148.07872442630},
3026     {     0.00143706183,  1.38368544947,       11.04570026390},
3027     {     0.00093192405,  0.17437220467,       36.64856292950},
3028     {     0.00071424548,  4.24509236074,      224.34479570190},
3029     {     0.00089806014,  3.66105364565,      109.94568878850},
3030     {     0.00039009723,  1.66971401684,       70.84944530420},
3031     {     0.00046677296,  1.39976401694,       35.16409022120},
3032     {     0.00039025624,  3.36234773834,      277.03499374140},
3033     {     0.00036755274,  3.88649278513,      146.59425171800},
3034     {     0.00030348723,  0.70100838798,      151.04766984290},
3035     {     0.00029156413,  3.18056336700,       77.75054398390},
3036     {     0.00020471591,  1.55587964879,      202.25339517410},
3037     {     0.00025620756,  5.25656086672,      380.12776796000},
3038     {     0.00025785880,  3.78537709870,       85.82729883120},
3039     {     0.00022637073,  0.72518687029,      529.69096509460},
3040     {     0.00020473534,  2.79640244248,       70.32818044240},
3041     {     0.00017901300,  0.55455066863,        2.96894541660},
3042     {     0.00012328114,  5.96037276805,      127.47179660680},
3043     {     0.00014701666,  4.90434516516,      108.46121608020},
3044     {     0.00011494680,  0.43772043395,       65.22037101170},
3045     {     0.00015502375,  5.35405396163,       38.13303563780},
3046     {     0.00010792498,  1.42106296264,      213.29909543800},
3047     {     0.00011695693,  3.29824190199,        3.93215326310},
3048     {     0.00011959076,  1.75043392140,      984.60033162190},
3049     {     0.00012896452,  2.62154084288,      111.43016149680},
3050     {     0.00011852959,  0.99344161196,       52.69019803950},
3051     {     0.00009111621,  4.99633582839,       62.25142559510},
3052     {     0.00008420792,  5.25351368389,      222.86032299360},
3053     {     0.00007448995,  0.79495503123,      351.81659230870},
3054     {     0.00008402384,  5.03876467031,      415.55249061210},
3055     {     0.00006046221,  5.67958564987,       78.71375183040},
3056     {     0.00005524411,  3.11493320824,        9.56122755560},
3057     {     0.00007329301,  3.97276588872,      183.24281464750},
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4376     {     0.00000001612,  4.71519560888,      370.04527554260},
4377     {     0.00000001456,  5.78909667336,      415.66436519670},
4378     {     0.00000001472,  3.92804806651,      212.33588759150},
4379     {     0.00000001776,  5.89527317383,     1593.80819769900},
4380     {     0.00000001776,  4.29157088924,     1743.37139483360},
4381     {     0.00000001398,  2.89266999881,      376.94637422230},
4382     {     0.00000001936,  3.02716801943,    10518.63171560370},
4383     {     0.00000001423,  1.34276219051,      302.74973099160},
4384     {     0.00000001929,  4.65175583668,     2199.76523406920},
4385     {     0.00000001930,  3.81505372582,      543.91805909620},
4386     {     0.00000001581,  4.28040315071,      375.93498226600},
4387     {     0.00000001621,  2.21372960034,      362.03221117010},
4388     {     0.00000001629,  4.08549980424,      340.51025961390},
4389     {     0.00000001756,  1.24206336045,      555.66633477570},
4390     {     0.00000001391,  4.05514082167,      623.22251175760},
4391     {     0.00000001480,  0.85968170103,      557.03893289940},
4392     {     0.00000001421,  0.13443282384,     1523.69246557770},
4393     {     0.00000001421,  1.73813510842,     1374.12926844310},
4394     {     0.00000001399,  1.64961108641,      356.27001043360},
4395     {     0.00000001847,  1.78123333872,    25939.82441714789},
4396     {     0.00000001466,  0.75306338987,        2.00573757010},
4397     {     0.00000001461,  3.67524662572,      139.17188817650},
4398     {     0.00000001453,  4.69267570928,      746.76215510130},
4399     {     0.00000001450,  3.85293024011,      907.37105249980},
4400     {     0.00000001369,  1.34933149459,     1130.23137549340},
4401     {     0.00000001420,  2.79221953555,      396.54191008550},
4402 ];
4403 
4404 
4405 static const ln_vsop[RADIUS_R1] uranus_radius_r1 = [
4406     {     0.01479896629,  3.67205697578,       74.78159856730},
4407     {     0.00071212143,  6.22600975161,       63.73589830340},
4408     {     0.00068627160,  6.13411179902,      149.56319713460},
4409     {     0.00020857554,  5.24625848960,       11.04570026390},
4410     {     0.00021468362,  2.60175716374,       76.26607127560},
4411     {     0.00024059369,  3.14159265359,        0.00000000000},
4412     {     0.00011405056,  0.01849738017,       70.84944530420},
4413     {     0.00007496797,  0.42361355955,       73.29712585900},
4414     {     0.00004243606,  1.41691058162,       85.82729883120},
4415     {     0.00003505951,  2.58348117401,      138.51749687070},
4416     {     0.00003228800,  5.25495561645,        3.93215326310},
4417     {     0.00003926833,  3.15526349399,       71.81265315070},
4418     {     0.00003059899,  0.15323842112,        1.48447270830},
4419     {     0.00003578254,  2.31157935775,      224.34479570190},
4420     {     0.00002564235,  0.98078549108,      148.07872442630},
4421     {     0.00002429191,  3.99450740432,       52.69019803950},
4422     {     0.00001644830,  2.65310351864,      127.47179660680},
4423     {     0.00001583569,  1.43049534360,       78.71375183040},
4424     {     0.00001413380,  4.57461623347,      202.25339517410},
4425     {     0.00001489724,  2.67568435302,       56.62235130260},
4426     {     0.00001403280,  1.36986207457,       77.75054398390},
4427     {     0.00001227894,  1.04699377171,       62.25142559510},
4428     {     0.00001507836,  5.06019185241,      151.04766984290},
4429     {     0.00000991944,  2.17181655850,       65.22037101170},
4430     {     0.00001032728,  0.26473484111,      131.40394986990},
4431     {     0.00000861752,  5.05508815872,      351.81659230870},
4432     {     0.00000744512,  3.07725212553,       35.16409022120},
4433     {     0.00000603966,  0.90716451094,      984.60033162190},
4434     {     0.00000647014,  4.47286717163,       70.32818044240},
4435     {     0.00000574672,  3.23069145540,      447.79581952650},
4436     {     0.00000687477,  2.49910872963,       77.96299230500},
4437     {     0.00000623247,  0.86227007749,        9.56122755560},
4438     {     0.00000527867,  5.15141241909,        2.96894541660},
4439     {     0.00000561872,  2.71781314149,      462.02291352810},
4440     {     0.00000530530,  5.91685160971,      213.29909543800},
4441     {     0.00000459886,  4.22296426568,       12.53017297220},
4442     {     0.00000494251,  0.46321800530,      145.63104387150},
4443     {     0.00000487371,  0.70688896635,      380.12776796000},
4444     {     0.00000380709,  3.85094436388,        3.18139373770},
4445     {     0.00000444185,  2.15555848995,       67.66805156650},
4446     {     0.00000338646,  2.53719277381,       18.15924726470},
4447     {     0.00000372951,  5.05141758574,      529.69096509460},
4448     {     0.00000348335,  1.74875375735,       71.60020482960},
4449     {     0.00000405615,  1.22950417858,       22.09140052780},
4450     {     0.00000268994,  6.24204805310,      340.77089204480},
4451     {     0.00000255860,  2.95699944505,       84.34282612290},
4452     {     0.00000259244,  3.92085033287,       59.80374504030},
4453     {     0.00000224702,  3.90949421678,      160.60889739850},
4454     {     0.00000221874,  3.64708443278,      137.03302416240},
4455     {     0.00000254339,  3.50524488134,       38.13303563780},
4456     {     0.00000238200,  2.04842095939,      269.92144674060},
4457     {     0.00000272459,  3.38353829996,      222.86032299360},
4458     {     0.00000200600,  1.24854381161,       69.36497259590},
4459     {     0.00000234216,  0.27861629739,      108.46121608020},
4460     {     0.00000188802,  4.41158620525,      265.98929347750},
4461     {     0.00000212138,  0.68012161063,      111.43016149680},
4462     {     0.00000205992,  1.53361539719,      284.14854074220},
4463     {     0.00000196457,  4.77133840382,      299.12639426920},
4464     {     0.00000153201,  5.21574674133,      209.36694217490},
4465     {     0.00000163544,  4.34120077587,       33.67961751290},
4466     {     0.00000150382,  1.98905719076,       54.17467074780},
4467     {     0.00000136927,  0.40354426815,      195.13984817330},
4468     {     0.00000117521,  0.39618046394,       87.31177153950},
4469     {     0.00000128577,  2.40591376513,       39.61750834610},
4470     {     0.00000104684,  2.91746030897,      134.58534360760},
4471     {     0.00000103870,  1.81603765254,       72.33391801250},
4472     {     0.00000106087,  0.17146170085,       79.23501669220},
4473     {     0.00000106822,  0.69945014388,        2.44768055480},
4474     {     0.00000094904,  4.02460487466,       82.85835341460},
4475     {     0.00000104645,  4.43615418997,      305.34616939270},
4476     {     0.00000093832,  5.01799603662,       51.20572533120},
4477     {     0.00000103733,  2.57520994669,      191.20769491020},
4478     {     0.00000106820,  1.22984965801,      225.82926841020},
4479     {     0.00000093580,  3.09257295667,       77.22927912210},
4480     {     0.00000097607,  3.81404159560,      152.53214255120},
4481     {     0.00000084782,  5.72500693196,       68.84370773410},
4482     {     0.00000077488,  0.08155105577,       45.57665103870},
4483     {     0.00000076047,  4.20422198550,       73.81839072080},
4484     {     0.00000086387,  0.53091293351,      145.10977900970},
4485     {     0.00000075755,  3.78546185557,       75.74480641380},
4486     {     0.00000077592,  1.63627982289,      479.28838891550},
4487     {     0.00000084780,  0.61510586137,      116.42609634290},
4488     {     0.00000100494,  4.93994320097,      120.35824960600},
4489     {     0.00000071979,  4.30613043603,      565.11568774670},
4490     {     0.00000071236,  2.38119498898,       60.76695288680},
4491     {     0.00000071539,  3.93757368948,      153.49535039770},
4492     {     0.00000084837,  5.55880391517,      344.70304530790},
4493     {     0.00000063516,  1.93751130249,       41.64449777560},
4494     {     0.00000071587,  3.71204011090,      408.43894361130},
4495     {     0.00000061914,  3.90141588459,        4.45341812490},
4496     {     0.00000065088,  1.55911828467,      106.97674337190},
4497     {     0.00000060091,  0.60112111486,       74.89347315190},
4498     {     0.00000061828,  4.39028435621,      453.42489381900},
4499     {     0.00000063246,  4.18799696764,      184.72728735580},
4500     {     0.00000062339,  3.23753339104,      422.66603761290},
4501     {     0.00000054893,  3.72792577723,        7.11354700080},
4502     {     0.00000052457,  6.08632045364,      404.50679034820},
4503     {     0.00000053071,  3.51022280941,      125.98732389850},
4504     {     0.00000059034,  1.55684840494,      456.39383923560},
4505     {     0.00000058831,  5.33573241567,      220.41264243880},
4506     {     0.00000052838,  5.20104115605,      358.93013930950},
4507     {     0.00000052878,  4.44628349017,      426.59819087600},
4508     {     0.00000055201,  1.60181891958,       14.97785352700},
4509     {     0.00000050997,  0.52968367981,      490.33408917940},
4510     {     0.00000049541,  4.25523625544,        5.41662597140},
4511     {     0.00000051389,  0.37029408817,      206.18554843720},
4512     {     0.00000051834,  1.75478067650,        8.07675484730},
4513     {     0.00000056742,  0.83891135620,      146.59425171800},
4514     {     0.00000049107,  0.94051631401,       99.16062095550},
4515     {     0.00000045714,  5.34241750716,      152.74459087230},
4516     {     0.00000048197,  1.97584360072,      288.08069400530},
4517     {     0.00000044024,  3.03717070644,       20.60692781950},
4518     {     0.00000049092,  5.84636334727,      112.91463420510},
4519     {     0.00000041989,  0.04895666240,      128.95626931510},
4520     {     0.00000048335,  3.62867663323,       81.00137369080},
4521     {     0.00000041451,  2.33805925587,      277.03499374140},
4522     {     0.00000040161,  5.09672112780,       35.42472265210},
4523     {     0.00000041968,  2.50991447143,       24.37902238820},
4524     {     0.00000038204,  3.61405134343,      173.94221952280},
4525     {     0.00000038414,  2.06063652881,      333.65734504400},
4526     {     0.00000042597,  1.26088737300,     1514.29129671650},
4527     {     0.00000038855,  0.74315611802,      347.88443904560},
4528     {     0.00000038552,  4.95041145803,       92.94084583200},
4529     {     0.00000033234,  1.38358507432,       74.66972398270},
4530     {     0.00000033788,  3.68407945156,       66.91729204110},
4531     {     0.00000039054,  5.49702926560,      200.76892246580},
4532     {     0.00000031786,  0.54344835858,      203.73786788240},
4533     {     0.00000033322,  6.26106483857,     1059.38193018920},
4534     {     0.00000030806,  2.53797566903,      977.48678462110},
4535     {     0.00000030059,  0.19481253674,      387.24131496080},
4536     {     0.00000029120,  5.44130853027,       58.10682401090},
4537     {     0.00000028997,  3.10546504714,      991.71387862270},
4538     {     0.00000027827,  0.36512476794,       80.19822453870},
4539     {     0.00000035694,  3.72852678524,       96.87299909510},
4540     {     0.00000032516,  4.38447867630,      221.37585028530},
4541     {     0.00000026840,  1.35294770385,        0.96320784650},
4542     {     0.00000031276,  0.79566551587,      373.01422095920},
4543     {     0.00000025922,  3.45840169631,      144.14657116320},
4544     {     0.00000031032,  2.06301188151,      230.56457082540},
4545     {     0.00000030278,  0.71358545978,      109.94568878850},
4546     {     0.00000024834,  3.04814439142,       14.01464568050},
4547     {     0.00000025206,  5.12301274564,       81.37388070630},
4548     {     0.00000027765,  4.75859307922,      415.55249061210},
4549     {     0.00000025582,  2.56904012503,      522.57741809380},
4550     {     0.00000024351,  2.20288762433,      628.85158605010},
4551     {     0.00000024132,  5.67351884701,      443.86366626340},
4552     {     0.00000025491,  1.78473889586,      143.62530630140},
4553     {     0.00000024065,  0.67010805340,       46.20979048510},
4554     {     0.00000025679,  5.43185950755,      546.95644048200},
4555     {     0.00000024624,  3.30585050808,      617.80588578620},
4556     {     0.00000024242,  5.59897471399,       32.19514480460},
4557     {     0.00000022390,  4.82189515313,      135.54855145410},
4558     {     0.00000027179,  2.02720095476,      536.80451209540},
4559     {     0.00000021973,  4.59216176679,      241.61027108930},
4560     {     0.00000022055,  4.61793641919,      391.17346822390},
4561     {     0.00000020834,  0.24550904041,      465.95506679120},
4562     {     0.00000027275,  2.15420645259,      140.00196957900},
4563     {     0.00000023632,  4.94972840898,      561.18353448360},
4564     {     0.00000021149,  5.27166890173,      159.12442469020},
4565     {     0.00000023328,  3.80624099549,       55.13787859430},
4566     {     0.00000020015,  1.30330553666,      518.64526483070},
4567     {     0.00000024853,  0.53398556310,      181.75834193920},
4568     {     0.00000020058,  4.88841177982,      909.81873305460},
4569     {     0.00000019193,  1.31168318333,      543.02428721890},
4570     {     0.00000020801,  0.91178178054,       76.47851959670},
4571     {     0.00000018990,  4.67975156701,       98.89998852460},
4572     {     0.00000019667,  0.66620464883,       66.70484372000},
4573     {     0.00000025922,  4.52830002662,      454.90936652730},
4574     {     0.00000018833,  6.08042451630,      103.09277421860},
4575     {     0.00000021624,  1.23560892029,       41.10198105440},
4576     {     0.00000018091,  0.96586313214,       55.65914345610},
4577     {     0.00000021264,  4.19514315520,      329.72519178090},
4578     {     0.00000018717,  5.77529020491,      142.44965013380},
4579     {     0.00000019415,  4.31464975363,        6.21977512350},
4580     {     0.00000023318,  5.83851945854,      297.64192156090},
4581     {     0.00000016657,  6.09418922673,      211.81462272970},
4582     {     0.00000016201,  2.49044081792,       61.28821774860},
4583     {     0.00000020158,  3.16239645425,      186.21176006410},
4584     {     0.00000016004,  2.97277766861,       81.89514556810},
4585     {     0.00000019202,  6.01151966247,      155.78297225810},
4586     {     0.00000017468,  4.82367359029,      273.10284047830},
4587     {     0.00000015141,  3.65588411554,      472.17484191470},
4588     {     0.00000018451,  3.47623430315,       36.64856292950},
4589     {     0.00000016303,  0.13085990583,      554.06998748280},
4590     {     0.00000018634,  0.23919770714,       23.57587323610},
4591     {     0.00000014358,  2.69393539884,       70.11573212130},
4592     {     0.00000015190,  2.43789398876,      486.40193591630},
4593     {     0.00000014488,  0.14254642208,      235.39049596580},
4594     {     0.00000013868,  5.09135892763,       29.20494752860},
4595     {     0.00000014406,  1.56741430063,      110.20632121940},
4596     {     0.00000015722,  4.25156109914,      146.38180339690},
4597     {     0.00000017435,  1.95393343617,      835.03713448730},
4598     {     0.00000013691,  1.63831110433,       92.04707395470},
4599     {     0.00000013239,  2.85690648081,       49.50880430180},
4600     {     0.00000012541,  2.92111856784,       60.55450456570},
4601     {     0.00000012594,  3.20935822266,      100.38446123290},
4602     {     0.00000014937,  0.32571457437,      259.50888592310},
4603     {     0.00000012827,  2.77958172785,      105.49227066360},
4604     {     0.00000012323,  3.36427641421,      440.68227252570},
4605     {     0.00000015261,  0.25477631378,      258.87574647670},
4606     {     0.00000012061,  0.08834689678,      157.63995198190},
4607     {     0.00000012881,  0.30715003179,      124.29040286910},
4608     {     0.00000010930,  3.41396817201,       33.13710079170},
4609     {     0.00000011062,  4.99201784219,      604.47256366190},
4610     {     0.00000010713,  3.88653353837,      767.36908292080},
4611     {     0.00000010435,  5.25417558285,      264.50482076920},
4612     {     0.00000012860,  4.80794300903,      114.39910691340},
4613     {     0.00000011561,  2.60450140190,      166.82867252200},
4614     {     0.00000010926,  0.64149188846,      558.00214074590},
4615     {     0.00000012320,  4.33795118362,       16.67477455640},
4616     {     0.00000009947,  0.67247104431,       31.49256938900},
4617     {     0.00000011298,  0.96114335836,      373.90799283650},
4618     {     0.00000012150,  1.91679035087,      378.64329525170},
4619     {     0.00000012229,  0.70508380884,      218.40690486870},
4620     {     0.00000010319,  0.18138367123,      275.55052103310},
4621     {     0.00000010753,  5.74480767273,       88.11492069160},
4622     {     0.00000009402,  0.67913169059,      353.30106501700},
4623     {     0.00000010651,  2.32656568944,      132.88842257820},
4624     {     0.00000009113,  2.99457723392,      681.54178408960},
4625     {     0.00000010788,  2.62866889129,      154.01661525950},
4626     {     0.00000009169,  4.79284571455,      216.48048917570},
4627     {     0.00000009121,  0.77801335714,       67.35923502580},
4628     {     0.00000009222,  0.73831686735,      129.91947716160},
4629     {     0.00000010633,  0.37523847853,      699.70103135430},
4630     {     0.00000009637,  2.88664912193,       67.88049988760},
4631     {     0.00000008646,  6.12261673260,      150.52640498110},
4632     {     0.00000008601,  2.20126464880,      342.25536475310},
4633     {     0.00000009283,  3.02854870998,      162.09337010680},
4634     {     0.00000009178,  1.49445512725,       19.64371997300},
4635     {     0.00000010072,  3.56581375513,      278.51946644970},
4636     {     0.00000009455,  3.06088366945,      149.67507171920},
4637     {     0.00000009786,  2.43713607191,       75.30286342910},
4638     {     0.00000009167,  5.33037538537,      152.01087768940},
4639     {     0.00000008844,  5.26389220400,       80.71948940050},
4640     {     0.00000008017,  4.71822595860,      106.01353552540},
4641     {     0.00000010094,  0.78601062380,      339.28641933650},
4642     {     0.00000008813,  0.01616162779,       42.58645376270},
4643     {     0.00000007821,  0.61192552414,      135.33610313300},
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4907     {     0.00000003008,  5.65955463660,     1969.20066324380},
4908     {     0.00000003008,  0.91409756228,     2118.76386037840},
4909     {     0.00000002465,  0.26629856014,       72.49397670690},
4910     {     0.00000002313,  3.37979302623,      286.59622129700},
4911     {     0.00000002272,  2.77069357318,      515.46387109300},
4912     {     0.00000002579,  4.80372721669,      103.35340664950},
4913     {     0.00000002360,  4.12736987374,       74.62153987290},
4914     {     0.00000002220,  2.17920233841,      491.81856188770},
4915     {     0.00000002498,  1.19812774743,      383.09671337660},
4916     {     0.00000002981,  3.15769661969,     1887.30551767570},
4917     {     0.00000002570,  3.13859674290,      229.08009811710},
4918     {     0.00000002355,  0.48259604722,       74.94165726170},
4919     {     0.00000002228,  1.42452148910,     6219.33995168800},
4920     {     0.00000002184,  5.18000549953,       59.28248017850},
4921     {     0.00000002319,  2.10326941903,       11.15757484850},
4922     {     0.00000002724,  3.48225905765,       10.29494073850},
4923     {     0.00000002162,  3.61282527361,       22.63391724900},
4924     {     0.00000002232,  3.98572942665,       68.63125941300},
4925     {     0.00000002390,  2.47806087593,      177.87437278590},
4926     {     0.00000002199,  0.22998162264,      217.23124870110},
4927     {     0.00000002915,  5.18526716284,      218.92816973050},
4928     {     0.00000002875,  2.77889026188,      184.98791978670},
4929     {     0.00000002865,  0.62015957113,     1411.19852249790},
4930     {     0.00000002298,  3.95654643159,       26.02355379090},
4931     {     0.00000002318,  1.21463632824,      291.70403072770},
4932     {     0.00000002560,  1.48802298081,     1055.44977692610},
4933     {     0.00000002796,  5.59819583385,      260.99335863140},
4934     {     0.00000002492,  4.25519394022,      149.45132255000},
4935     {     0.00000002007,  6.11892578566,       63.62402371880},
4936     {     0.00000002110,  3.59139003023,      256.42806592190},
4937     {     0.00000002198,  4.46404375855,      524.06189080210},
4938     {     0.00000002706,  0.80150714262,       89.00869256890},
4939     {     0.00000002410,  2.28619111368,       74.26033370550},
4940     {     0.00000002102,  3.18561308775,      635.96513305090},
4941     {     0.00000002006,  1.30247563131,      385.75684225250},
4942     {     0.00000002304,  3.60550712225,      115.88357962170},
4943     {     0.00000001899,  2.42426868365,      273.85360000370},
4944     {     0.00000002119,  5.98199852906,      559.69906177530},
4945     {     0.00000002152,  5.30772822745,        2.00573757010},
4946     {     0.00000002447,  5.10278930542,      205.22234059070},
4947     {     0.00000001962,  1.45399000044,       80.41067285980},
4948     {     0.00000001895,  3.30475087405,       46.47042291600},
4949     {     0.00000001942,  1.79179369066,      346.39996633730},
4950     {     0.00000001850,  5.74338030118,      175.16605980020},
4951     {     0.00000001848,  2.74750349182,      429.77958461370},
4952     {     0.00000001848,  1.20977525896,      280.21638747910},
4953     {     0.00000002220,  1.12912931401,      323.50541665740},
4954     {     0.00000001839,  3.58086367470,      327.43756992050},
4955     {     0.00000001839,  4.86693953738,      507.59956456680},
4956     {     0.00000001848,  5.26302620499,       81.68269724700},
4957     {     0.00000001996,  4.36291795113,     1812.52391910840},
4958     {     0.00000001893,  0.10622820999,       93.90405367850},
4959     {     0.00000002368,  2.77235858734,      477.00076705510},
4960     {     0.00000001891,  2.25571301508,        4.73530241520},
4961     {     0.00000001792,  1.59759408430,      832.58945393250},
4962     {     0.00000001792,  3.20129636889,      683.02625679790},
4963     {     0.00000002092,  0.32766195745,      343.21857259960},
4964     {     0.00000001792,  5.80267442975,      779.89925589300},
4965     {     0.00000001726,  3.18023607065,      332.17287233570},
4966     {     0.00000001831,  3.75183606052,      469.72716135990},
4967     {     0.00000001831,  5.28956429339,      619.29035849450},
4968     {     0.00000001721,  0.80119805379,     1432.39615114840},
4969     {     0.00000001721,  2.33892628665,     1581.95934828300},
4970     {     0.00000001978,  1.74196451080,      331.32153907380},
4971     {     0.00000001895,  5.31311179301,      253.57099508990},
4972     {     0.00000001758,  2.96038070029,     1596.18644228460},
4973     {     0.00000001758,  1.42265246742,     1446.62324515000},
4974     {     0.00000002109,  0.73357181364,      758.77106321170},
4975     {     0.00000001911,  0.46392477628,     1589.07289528380},
4976     {     0.00000001960,  5.98949067581,     1392.28851570780},
4977     {     0.00000001960,  1.31000765322,     1242.72531857320},
4978     {     0.00000001833,  6.18306213718,      535.32003938710},
4979     {     0.00000002195,  0.42296220916,      703.63318461740},
4980     {     0.00000001815,  5.00776376696,      255.83736509090},
4981     {     0.00000001890,  0.32598438166,      221.16340196420},
4982     {     0.00000001864,  2.68023304080,      405.99126305650},
4983     {     0.00000002065,  6.09002439734,      763.43692965770},
4984     {     0.00000002065,  4.55229616447,      613.87373252310},
4985     {     0.00000001610,  4.91408185660,      115.36231475990},
4986     {     0.00000001823,  5.54014516908,      357.44566660120},
4987     {     0.00000001620,  2.90668209411,      609.20786607710},
4988     {     0.00000001604,  3.64436334999,       30.05628079050},
4989     {     0.00000001578,  6.12288879129,      423.62924545940},
4990     {     0.00000001754,  3.29214293116,     1515.77576942480},
4991     {     0.00000001819,  6.21015313585,      215.43795945210},
4992     {     0.00000001679,  2.61674435978,      181.05576652360},
4993     {     0.00000001907,  5.52030331800,      602.98809095360},
4994     {     0.00000001520,  1.94954212244,     1228.49822457160},
4995     {     0.00000001520,  0.34583983785,     1378.06142170620},
4996     {     0.00000001538,  4.79041960434,      543.91805909620},
4997     {     0.00000001518,  3.84678636307,       14.22709400160},
4998     {     0.00000001851,  4.61165114292,      774.48262992160},
4999     {     0.00000001520,  3.24071154201,       39.09624348430},
5000     {     0.00000001647,  5.88231739154,      398.87771605570},
5001     {     0.00000001471,  1.35595542925,      481.73606947030},
5002     {     0.00000001469,  5.56206799884,      301.41401612960},
5003     {     0.00000001474,  1.58634608266,      274.06604832480},
5004     {     0.00000001480,  6.05250894033,      194.28851491140},
5005     {     0.00000001473,  0.67726919761,      539.25219265020},
5006     {     0.00000001472,  3.07440978254,       50.66320861000},
5007     {     0.00000001564,  5.43230552977,      459.36278465220},
5008     {     0.00000001468,  5.20182042843,      130.44074202340},
5009     {     0.00000001802,  2.75155368399,       30.59879751170},
5010     {     0.00000001483,  2.08618845205,       69.67378913660},
5011     {     0.00000001433,  3.35897454068,      267.58564077040},
5012     {     0.00000001801,  6.06701083819,      210.85141488320},
5013     {     0.00000001473,  1.65632386952,     1052.26838318840},
5014     {     0.00000001392,  3.13732434239,      369.08206769610},
5015     {     0.00000001502,  0.28443439725,      495.96316347190},
5016     {     0.00000001403,  4.98324477005,       35.68535508300},
5017     {     0.00000001404,  3.16559098208,      255.57673266000},
5018     {     0.00000001456,  5.36560710378,     6283.07584999140},
5019     {     0.00000001412,  0.68968780108,      348.84764689210},
5020     {     0.00000001589,  4.89344411716,     1366.21257229020},
5021     {     0.00000001426,  5.72934799733,      335.14181775230},
5022     {     0.00000001469,  4.66006940636,      893.35640681930},
5023     {     0.00000001469,  6.26377169094,      743.79320968470},
5024     {     0.00000001668,  1.29876086261,     1673.25566271230},
5025     {     0.00000001668,  2.90246314719,     1523.69246557770},
5026     {     0.00000001526,  5.93140614398,     1662.96072197380},
5027     {     0.00000001373,  4.85710108204,       61.44827644300},
5028     {     0.00000001366,  4.78315200862,      470.69036920640},
5029     {     0.00000001390,  5.76987164020,       79.88940799800},
5030     {     0.00000001461,  3.00376275716,      632.78373931320},
5031 ];
5032 
5033 
5034 static const ln_vsop[RADIUS_R2] uranus_radius_r2 = [
5035     {     0.00022439899,  0.69953310903,       74.78159856730},
5036     {     0.00004726838,  1.69896897296,       63.73589830340},
5037     {     0.00001681383,  4.64842242588,       70.84944530420},
5038     {     0.00001433633,  3.52135281258,      149.56319713460},
5039     {     0.00001649477,  3.09669484042,       11.04570026390},
5040     {     0.00000769974,  0.00000000000,        0.00000000000},
5041     {     0.00000461159,  0.76667185672,        3.93215326310},
5042     {     0.00000500193,  6.17218448634,       76.26607127560},
5043     {     0.00000390377,  4.49603136758,       56.62235130260},
5044     {     0.00000389972,  5.52663268311,       85.82729883120},
5045     {     0.00000292283,  0.20370820668,       52.69019803950},
5046     {     0.00000272269,  3.84735375210,      138.51749687070},
5047     {     0.00000286451,  3.53449822561,       73.29712585900},
5048     {     0.00000205341,  3.24759155116,       78.71375183040},
5049     {     0.00000219349,  1.96433948894,      131.40394986990},
5050     {     0.00000215812,  0.84820922453,       77.96299230500},
5051     {     0.00000129040,  2.08142441038,        3.18139373770},
5052     {     0.00000148716,  4.89757177249,      127.47179660680},
5053     {     0.00000117642,  4.93417950365,      447.79581952650},
5054     {     0.00000112873,  1.01358614296,      462.02291352810},
5055     {     0.00000099082,  6.15736951949,      224.34479570190},
5056     {     0.00000091634,  0.68110922044,       18.15924726470},
5057     {     0.00000089537,  0.23396296581,      202.25339517410},
5058     {     0.00000088475,  2.93078580361,       62.25142559510},
5059     {     0.00000113471,  4.78996247308,      145.63104387150},
5060     {     0.00000103857,  3.58561861261,       71.60020482960},
5061     {     0.00000061854,  3.29891157272,      351.81659230870},
5062     {     0.00000057828,  4.90530751807,       22.09140052780},
5063     {     0.00000064448,  3.38789169908,        1.48447270830},
5064     {     0.00000071110,  6.10490045777,      454.90936652730},
5065     {     0.00000050920,  3.86475363643,       65.22037101170},
5066     {     0.00000063666,  3.96437325595,       67.66805156650},
5067     {     0.00000059151,  5.54929939724,        9.56122755560},
5068     {     0.00000048713,  3.74773116593,      269.92144674060},
5069     {     0.00000044010,  1.92372120641,       59.80374504030},
5070     {     0.00000042677,  2.61696151844,      151.04766984290},
5071     {     0.00000044556,  5.90316779799,       71.81265315070},
5072     {     0.00000042421,  6.13638530320,      284.14854074220},
5073     {     0.00000037328,  5.91300114911,      984.60033162190},
5074     {     0.00000042329,  2.08837866544,       12.53017297220},
5075     {     0.00000036234,  5.40331180090,       77.75054398390},
5076     {     0.00000031472,  4.58140053324,      148.07872442630},
5077     {     0.00000031469,  2.26119541579,      195.13984817330},
5078     {     0.00000027151,  3.53245541147,      209.36694217490},
5079     {     0.00000028313,  4.57742211849,       77.22927912210},
5080     {     0.00000026135,  0.65832277309,      120.35824960600},
5081     {     0.00000024371,  5.86680470366,       69.36497259590},
5082     {     0.00000023072,  1.04150250909,       84.34282612290},
5083     {     0.00000022686,  1.71276605718,      160.60889739850},
5084     {     0.00000027909,  4.91450005237,      277.03499374140},
5085     {     0.00000020958,  2.20247784200,       45.57665103870},
5086     {     0.00000020277,  2.30684759993,        2.44768055480},
5087     {     0.00000016889,  4.75579457418,      213.29909543800},
5088     {     0.00000016616,  1.85435119988,      340.77089204480},
5089     {     0.00000017053,  4.37207842060,       54.17467074780},
5090     {     0.00000016086,  3.65914337666,      152.74459087230},
5091     {     0.00000014838,  5.44395102901,      408.43894361130},
5092     {     0.00000013872,  3.38531100870,      358.93013930950},
5093     {     0.00000013344,  5.24928235077,      137.03302416240},
5094     {     0.00000013276,  1.26302583053,      134.58534360760},
5095     {     0.00000012700,  3.02323882509,       92.94084583200},
5096     {     0.00000013615,  1.53192294040,      422.66603761290},
5097     {     0.00000012387,  1.33244915199,       51.20572533120},
5098     {     0.00000016450,  0.40355823582,      265.98929347750},
5099     {     0.00000012052,  5.08792165794,      191.20769491020},
5100     {     0.00000011443,  2.05677650023,        7.11354700080},
5101     {     0.00000012762,  4.42146478775,       87.31177153950},
5102     {     0.00000012158,  3.23645294871,      116.42609634290},
5103     {     0.00000011636,  4.65085291428,       41.64449777560},
5104     {     0.00000011612,  4.17982719132,       60.55450456570},
5105     {     0.00000011692,  3.73284551397,      220.41264243880},
5106     {     0.00000010313,  0.35141402139,       70.32818044240},
5107     {     0.00000011316,  1.07773417628,       72.33391801250},
5108     {     0.00000009522,  3.05257396853,        2.96894541660},
5109     {     0.00000009279,  2.43997351068,      565.11568774670},
5110     {     0.00000008993,  5.18841032660,      225.82926841020},
5111     {     0.00000010284,  1.18602188589,      344.70304530790},
5112     {     0.00000008847,  6.00863947318,        5.41662597140},
5113     {     0.00000008508,  5.24741470219,      347.88443904560},
5114     {     0.00000008322,  3.71500823381,       14.97785352700},
5115     {     0.00000008276,  2.27407098373,      299.12639426920},
5116     {     0.00000008064,  5.71681525179,       55.13787859430},
5117     {     0.00000007829,  0.90269701074,      222.86032299360},
5118     {     0.00000008335,  4.48600419464,       70.11573212130},
5119     {     0.00000008489,  3.91174796200,      333.65734504400},
5120     {     0.00000008708,  5.81537952972,      153.49535039770},
5121     {     0.00000010194,  5.97791997034,       35.16409022120},
5122     {     0.00000009652,  0.38887666466,      415.55249061210},
5123     {     0.00000007106,  1.50598488470,      991.71387862270},
5124     {     0.00000008055,  2.25812279923,      206.18554843720},
5125     {     0.00000006468,  2.99863142327,      380.12776796000},
5126     {     0.00000006393,  1.16861809920,       96.87299909510},
5127     {     0.00000008976,  6.05363032396,      146.38180339690},
5128     {     0.00000006131,  0.05596259493,       99.16062095550},
5129     {     0.00000005803,  0.79879069877,      142.44965013380},
5130     {     0.00000005816,  4.63029217647,       49.50880430180},
5131     {     0.00000005557,  0.63854330387,       58.10682401090},
5132     {     0.00000005869,  2.21418083323,       80.19822453870},
5133     {     0.00000005162,  4.36457872885,      977.48678462110},
5134     {     0.00000005428,  0.85181859845,      546.95644048200},
5135     {     0.00000005750,  2.48104577171,      373.01422095920},
5136     {     0.00000005766,  0.34229026122,      536.80451209540},
5137     {     0.00000005924,  5.48443563529,       76.47851959670},
5138     {     0.00000005154,  4.81339702575,      387.24131496080},
5139     {     0.00000005325,  3.72411790512,       23.57587323610},
5140     {     0.00000005037,  5.06388596602,      440.68227252570},
5141     {     0.00000005209,  4.09574144962,      132.88842257820},
5142     {     0.00000005790,  3.39593613152,      458.09076026500},
5143     {     0.00000005007,  4.25821411688,      522.57741809380},
5144     {     0.00000005114,  0.49645581730,       60.76695288680},
5145     {     0.00000005027,  6.15248489670,       39.61750834610},
5146     {     0.00000005183,  3.25775152471,      561.18353448360},
5147     {     0.00000004603,  1.69268338637,      152.53214255120},
5148     {     0.00000004566,  0.46068888813,       33.13710079170},
5149     {     0.00000005302,  1.83522660093,      124.29040286910},
5150     {     0.00000004454,  2.30288945184,      312.45971639350},
5151     {     0.00000005766,  0.66069155760,       38.13303563780},
5152     {     0.00000004255,  3.58596694157,      479.28838891550},
5153     {     0.00000004315,  1.64104755836,      128.95626931510},
5154     {     0.00000004190,  4.37674804409,       79.23501669220},
5155     {     0.00000005756,  0.87494010124,       20.60692781950},
5156     {     0.00000005409,  0.87333646247,       81.89514556810},
5157     {     0.00000005124,  1.40551554367,      144.14657116320},
5158     {     0.00000004045,  6.07362424621,       19.64371997300},
5159     {     0.00000003994,  5.77048046468,      288.08069400530},
5160     {     0.00000004987,  2.99179430284,       29.20494752860},
5161     {     0.00000003870,  4.43713601497,      141.69889060840},
5162     {     0.00000003811,  3.15820960943,      159.12442469020},
5163     {     0.00000004553,  0.01384318412,      298.23262239190},
5164     {     0.00000003737,  5.28319518103,      353.30106501700},
5165     {     0.00000003742,  2.67921642406,      426.59819087600},
5166     {     0.00000003939,  5.27301148162,      521.09294538550},
5167     {     0.00000005065,  4.09433474334,      111.43016149680},
5168     {     0.00000003861,  1.34394383700,      535.32003938710},
5169     {     0.00000003619,  5.10070043677,      490.33408917940},
5170     {     0.00000004385,  0.62057680100,      827.17282796110},
5171     {     0.00000003645,  0.34509016266,       33.67961751290},
5172     {     0.00000003558,  2.51710360898,      258.87574647670},
5173     {     0.00000003919,  0.62079541541,      152.01087768940},
5174     {     0.00000003576,  3.24526237368,      230.56457082540},
5175     {     0.00000003469,  0.79054323335,      983.11585891360},
5176     {     0.00000004530,  2.86839686392,      129.91947716160},
5177     {     0.00000003648,  5.59395544992,      774.48262992160},
5178     {     0.00000003440,  4.71254994607,        6.90109867970},
5179     {     0.00000003513,  4.49630054276,      376.19561469690},
5180     {     0.00000004521,  2.05472247761,      404.50679034820},
5181     {     0.00000003336,  0.89628904042,      469.13646052890},
5182     {     0.00000003274,  3.86236880159,       42.53826965290},
5183     {     0.00000003201,  2.76459652868,      248.72381809010},
5184     {     0.00000003184,  0.07709843451,     1514.29129671650},
5185     {     0.00000003783,  5.29835962126,      369.08206769610},
5186     {     0.00000003119,  1.27526406087,      200.76892246580},
5187     {     0.00000003266,  2.24754480216,       73.81839072080},
5188     {     0.00000003055,  2.60120354408,      433.71173787680},
5189     {     0.00000003051,  4.54953369151,      980.66817835880},
5190     {     0.00000003472,  4.93521260607,      411.62033734900},
5191     {     0.00000003531,  4.49372794858,      881.50755740330},
5192     {     0.00000003284,  5.59170577331,      472.17484191470},
5193     {     0.00000003049,  3.68906777491,       16.67477455640},
5194     {     0.00000003015,  6.02967446446,      291.26208774300},
5195     {     0.00000003755,  3.12587747560,      108.46121608020},
5196     {     0.00000003467,  2.17484439267,      554.06998748280},
5197     {     0.00000003138,  0.52367930477,     1094.80665284130},
5198     {     0.00000003257,  2.49339546514,      451.72797278960},
5199     {     0.00000002886,  2.44887846041,      135.33610313300},
5200     {     0.00000002965,  0.39294995530,       25.27279426550},
5201     {     0.00000002794,  5.32964924523,      125.98732389850},
5202     {     0.00000002814,  1.70481689541,      639.89728631400},
5203     {     0.00000002777,  5.94801147914,       89.75945209430},
5204     {     0.00000002831,  2.52728803131,      867.28046340170},
5205     {     0.00000002779,  0.48501334493,      305.34616939270},
5206     {     0.00000002872,  0.77434367967,      486.40193591630},
5207     {     0.00000002857,  4.71106805785,      218.92816973050},
5208     {     0.00000003081,  4.10993868704,      146.59425171800},
5209     {     0.00000002763,  4.27510031656,      350.33211960040},
5210     {     0.00000003365,  3.67691210011,      661.09491496450},
5211     {     0.00000002925,  1.43646759644,      381.61224066830},
5212     {     0.00000002802,  3.11122994722,      216.48048917570},
5213     {     0.00000002756,  4.62672498840,     1357.61455258110},
5214     {     0.00000003450,  2.12911756067,      685.47393735270},
5215     {     0.00000002646,  3.81808560938,      550.88859374510},
5216     {     0.00000002584,  5.63009428967,       24.37902238820},
5217     {     0.00000002740,  1.85885336732,      529.69096509460},
5218     {     0.00000002606,  4.36605237304,     1080.57955883970},
5219     {     0.00000002438,  3.04265976382,      391.17346822390},
5220     {     0.00000002446,  5.73846381540,      535.91074021810},
5221     {     0.00000002471,  4.18140104280,      235.39049596580},
5222     {     0.00000002568,  1.09886876369,      913.00012679230},
5223     {     0.00000002346,  1.88690998393,       82.85835341460},
5224     {     0.00000002301,  0.27116254930,        7.86430652620},
5225     {     0.00000003053,  5.35047433775,      681.54178408960},
5226     {     0.00000002290,  2.49218620138,      203.73786788240},
5227     {     0.00000002325,  0.52844013308,       14.22709400160},
5228     {     0.00000002258,  0.03156617730,      398.28701522470},
5229     {     0.00000002160,  6.01811980506,      140.00196957900},
5230     {     0.00000002328,  3.12607654898,      273.10284047830},
5231     {     0.00000002139,  4.33383273131,       91.45637312370},
5232     {     0.00000002723,  1.24464892033,      166.82867252200},
5233     {     0.00000002053,  4.32434381120,      515.46387109300},
5234     {     0.00000002398,  5.90144270960,       79.44746501330},
5235     {     0.00000002222,  4.80208391464,      268.43697403230},
5236     {     0.00000002310,  0.48180017719,       14.01464568050},
5237     {     0.00000002022,  5.85402756377,      271.40591944890},
5238     {     0.00000002521,  3.23111737258,      901.95442652840},
5239     {     0.00000002369,  2.40985582671,       73.08467753790},
5240     {     0.00000002034,  0.47496124187,     2043.98226181110},
5241     {     0.00000001955,  6.21237525891,      384.05992122310},
5242     {     0.00000001954,  3.38054663002,      820.05928096030},
5243     {     0.00000001867,  5.32253331194,       31.49256938900},
5244     {     0.00000002416,  0.06420209890,      419.48464387520},
5245     {     0.00000001762,  5.77200578500,     1589.07289528380},
5246     {     0.00000001762,  4.23427755214,     1439.50969814920},
5247     {     0.00000001925,  0.79521713622,      184.09414790940},
5248     {     0.00000002204,  0.52846501316,      278.51946644970},
5249     {     0.00000002228,  4.32684227036,       66.91729204110},
5250     {     0.00000001679,  5.14179135334,     1059.38193018920},
5251     {     0.00000001706,  1.54289098759,      234.49672408850},
5252     {     0.00000001625,  5.07314285147,      100.38446123290},
5253     {     0.00000001609,  6.16926697458,     1119.18567522950},
5254     {     0.00000002033,  3.53119363701,      109.94568878850},
5255     {     0.00000002129,  1.22429037482,      184.72728735580},
5256     {     0.00000001717,  2.42144217711,      678.36039035190},
5257     {     0.00000001717,  3.95917040998,      827.92358748650},
5258     {     0.00000001810,  0.05278694247,       17.26547538740},
5259     {     0.00000001585,  1.88716701489,        4.45341812490},
5260     {     0.00000001577,  5.35894329524,     1894.41906467650},
5261     {     0.00000001523,  3.77627435709,      181.05576652360},
5262     {     0.00000001534,  0.19778048653,      135.54855145410},
5263     {     0.00000001506,  2.95864025543,      849.26422848890},
5264     {     0.00000001506,  1.35493797085,      998.82742562350},
5265     {     0.00000001722,  5.00518792666,      699.70103135430},
5266     {     0.00000001722,  3.46745969379,      550.13783421970},
5267     {     0.00000001643,  5.86122302822,       89.00869256890},
5268     {     0.00000001520,  1.42254433373,        0.21244832110},
5269     {     0.00000001529,  0.77073213979,      329.72519178090},
5270     {     0.00000001458,  5.90775641818,      147.11551657980},
5271     {     0.00000001792,  1.11686829848,      453.42489381900},
5272     {     0.00000001498,  2.61145675790,      365.90067395840},
5273     {     0.00000001793,  2.14241351007,      211.81462272970},
5274     {     0.00000001580,  5.57997675255,      785.52833018550},
5275     {     0.00000001580,  4.04224851969,      635.96513305090},
5276     {     0.00000001835,  4.31480288855,      465.95506679120},
5277     {     0.00000001407,  4.94842057032,       74.89347315190},
5278     {     0.00000001403,  5.15016124506,      180.16199464630},
5279     {     0.00000001420,  2.60452620081,       95.38852638680},
5280     {     0.00000001383,  5.95287019467,       74.66972398270},
5281     {     0.00000001382,  2.10457236484,      458.84151979040},
5282     {     0.00000001513,  1.88475439191,     1051.51762366300},
5283     {     0.00000001368,  5.67966974902,       66.70484372000},
5284 ];
5285 
5286 
5287 static const ln_vsop[RADIUS_R3] uranus_radius_r3 = [
5288     {     0.00001164663,  4.73440180792,       74.78159856730},
5289     {     0.00000212363,  3.34268349684,       63.73589830340},
5290     {     0.00000196315,  2.98101237100,       70.84944530420},
5291     {     0.00000104707,  0.95789279555,       11.04570026390},
5292     {     0.00000071681,  0.02528295071,       56.62235130260},
5293     {     0.00000072719,  0.99479831041,      149.56319713460},
5294     {     0.00000054933,  2.59936585639,        3.93215326310},
5295     {     0.00000034026,  3.82319495878,       76.26607127560},
5296     {     0.00000032081,  3.59825177872,      131.40394986990},
5297     {     0.00000029569,  3.44303690664,       85.82729883120},
5298     {     0.00000036377,  5.65035573026,       77.96299230500},
5299     {     0.00000027625,  0.42885477377,        3.18139373770},
5300     {     0.00000027552,  2.55709855563,       52.69019803950},
5301     {     0.00000024740,  5.14634979896,       78.71375183040},
5302     {     0.00000019382,  5.13444064222,       18.15924726470},
5303     {     0.00000015767,  0.37116951743,      447.79581952650},
5304     {     0.00000015441,  5.57271837433,      462.02291352810},
5305     {     0.00000015035,  3.84415419523,       73.29712585900},
5306     {     0.00000015450,  2.97572514360,      145.63104387150},
5307     {     0.00000017788,  0.00000000000,        0.00000000000},
5308     {     0.00000015958,  5.19915553861,       71.60020482960},
5309     {     0.00000010780,  6.02554585112,      138.51749687070},
5310     {     0.00000010347,  3.60350847669,      224.34479570190},
5311     {     0.00000007612,  1.47668980969,        1.48447270830},
5312     {     0.00000008140,  2.61444086595,       22.09140052780},
5313     {     0.00000007107,  5.43946774526,      269.92144674060},
5314     {     0.00000006459,  4.37142319461,      284.14854074220},
5315     {     0.00000006817,  0.01485937330,      151.04766984290},
5316     {     0.00000007811,  0.29898229022,      127.47179660680},
5317     {     0.00000005768,  4.22672716677,      373.01422095920},
5318     {     0.00000005105,  1.81797461354,      202.25339517410},
5319     {     0.00000004692,  2.78404575440,      120.35824960600},
5320     {     0.00000005071,  0.76641679640,       62.25142559510},
5321     {     0.00000004133,  1.88879300710,      209.36694217490},
5322     {     0.00000005201,  4.15791319343,      195.13984817330},
5323     {     0.00000003946,  1.83105030444,       72.33391801250},
5324     {     0.00000003582,  3.92592140377,      124.29040286910},
5325     {     0.00000004340,  3.99626115302,        9.56122755560},
5326     {     0.00000003739,  1.50894993813,      148.07872442630},
5327     {     0.00000003436,  1.99291271003,       65.22037101170},
5328     {     0.00000003835,  1.15614639932,      153.49535039770},
5329     {     0.00000003593,  0.94897593272,       92.94084583200},
5330     {     0.00000003950,  1.85721204646,      152.74459087230},
5331     {     0.00000003277,  1.40881404192,      351.81659230870},
5332     {     0.00000003058,  5.76662885271,      160.60889739850},
5333     {     0.00000002719,  5.64780369357,      134.58534360760},
5334     {     0.00000002800,  0.79480255927,      572.22923474750},
5335     {     0.00000002727,  6.00569967758,       12.53017297220},
5336     {     0.00000002524,  3.05071097098,      387.24131496080},
5337     {     0.00000002662,  1.98593312104,      450.97721326420},
5338     {     0.00000002391,  1.62282528307,      358.93013930950},
5339     {     0.00000002570,  2.81202618885,      213.29909543800},
5340     {     0.00000002291,  4.81424601791,      536.80451209540},
5341     {     0.00000002213,  2.20360299816,      465.95506679120},
5342     {     0.00000002345,  3.89530188536,       76.47851959670},
5343     {     0.00000001990,  6.00348345539,       77.22927912210},
5344     {     0.00000001836,  0.86993337572,      288.08069400530},
5345     {     0.00000002233,  4.20038854663,       45.57665103870},
5346     {     0.00000001745,  4.28595550732,       67.66805156650},
5347     {     0.00000001715,  5.36211200127,       84.34282612290},
5348     {     0.00000001640,  5.46719808619,      309.27832265580},
5349     {     0.00000001640,  3.86349580161,      458.84151979040},
5350     {     0.00000001728,  3.60055588821,       81.89514556810},
5351     {     0.00000001483,  3.46836166107,       59.80374504030},
5352     {     0.00000001463,  3.58895839694,      347.88443904560},
5353     {     0.00000001415,  1.82816992630,      497.44763618020},
5354     {     0.00000001399,  5.26616832831,      909.81873305460},
5355     {     0.00000001399,  3.66246604373,     1059.38193018920},
5356     {     0.00000001401,  4.64442933182,       96.87299909510},
5357 ];
5358 
5359 
5360 static const ln_vsop[RADIUS_R4] uranus_radius_r4 = [
5361     {     0.00000053224,  3.00468894529,       74.78159856730},
5362     {     0.00000009887,  1.91399083603,       56.62235130260},
5363     {     0.00000007008,  5.08677527404,       11.04570026390},
5364     {     0.00000006718,  5.39509675772,      149.56319713460},
5365     {     0.00000003855,  5.18994119112,      131.40394986990},
5366     {     0.00000003316,  1.22839100759,       85.82729883120},
5367     {     0.00000002664,  0.44064577837,       63.73589830340},
5368     {     0.00000002309,  0.92380720934,      145.63104387150},
5369     {     0.00000002383,  6.21390585593,      358.93013930950},
5370     {     0.00000002288,  2.23425399117,      440.68227252570},
5371     {     0.00000002472,  3.28269448244,       18.15924726470},
5372     {     0.00000002837,  3.14159265359,        0.00000000000},
5373 ];
5374 
5375 extern (C) {
5376 
5377 /*! \fn void ln_get_uranus_equ_coords(double JD, struct ln_equ_posn *position);
5378 * \param JD julian Day
5379 * \param position pointer to store position
5380 *
5381 * Calculates uranus's equatorial position for given julian day.
5382 * This function includes calculations for planetary aberration and refers
5383 * to the FK5 reference frame.
5384 *
5385 * To get the complete equatorial coordinates, corrections for nutation
5386 * have to be applied.
5387 *
5388 * The position returned is accurate to within 0.1 arcsecs.
5389 */
5390 @nogc void ln_get_uranus_equ_coords(double JD, ref ln_equ_posn position) nothrow
5391 {
5392 	ln_helio_posn h_sol, h_uranus;
5393 	ln_rect_posn g_sol, g_uranus;
5394 	double a, b, c;
5395 	double ra, dec, delta, diff, last, t = 0;
5396 
5397 	/* need typdef for solar heliocentric coords */
5398 	ln_get_solar_geom_coords(JD, h_sol);
5399 	ln_get_rect_from_helio(h_sol, g_sol);
5400 
5401 	do {
5402 		last = t;
5403 		ln_get_uranus_helio_coords(JD - t, h_uranus);
5404 		ln_get_rect_from_helio(h_uranus, g_uranus);
5405 
5406 		/* equ 33.10 pg 229 */
5407 		a = g_sol.X + g_uranus.X;
5408 		b = g_sol.Y + g_uranus.Y;
5409 		c = g_sol.Z + g_uranus.Z;
5410 
5411 		delta = a * a + b * b + c * c;
5412 		delta = sqrt(delta);
5413 		t = delta * 0.0057755183;
5414 		diff = t - last;
5415 	} while (diff > 0.0001 || diff < -0.0001);
5416 
5417 	ra = atan2(b, a);
5418 	dec = c / delta;
5419 	dec = asin(dec);
5420 
5421 	/* back to hours, degrees */
5422 	position.ra = ln_range_degrees(ln_rad_to_deg(ra));
5423 	position.dec = ln_rad_to_deg(dec);
5424 }
5425 
5426 
5427 /*! \fn void ln_get_uranus_helio_coords(double JD, struct ln_helio_posn *position)
5428 * \param JD Julian Day
5429 * \param position Pointer to store heliocentric position
5430 *
5431 * Calculate Uranus heliocentric (refered to the centre of the Sun) coordinates
5432 * in the FK5 reference frame for the given julian day.
5433 * Longitude and Latitude are in degrees, whilst radius vector is in AU.
5434 */
5435 /* Chapter 31 Pg 206-207 Equ 31.1 31.2 , 31.3 using VSOP 87
5436 */
5437 @nogc void ln_get_uranus_helio_coords(double JD, ref ln_helio_posn position) nothrow
5438 {
5439 	double t, t2, t3, t4;
5440 
5441 	double L0, L1, L2, L3, L4;
5442 	double B0, B1, B2, B3;
5443 	double R0, R1, R2, R3, R4;
5444 
5445 	/* check cache first */
5446 	if(JD == cJD) {
5447 		/* cache hit */
5448 		position.L = cL;
5449 		position.B = cB;
5450 		position.R = cR;
5451 		return;
5452 	}
5453 
5454 	/* get julian ephemeris day */
5455 	t =(JD - 2451545.0) / 365250;
5456 	t2 = t * t;
5457 	t3 = t2 * t;
5458 	t4 = t3 * t;
5459 
5460 	/* calc L series */
5461 	L0 = ln_calc_series(uranus_longitude_l0, t);
5462 	L1 = ln_calc_series(uranus_longitude_l1, t);
5463 	L2 = ln_calc_series(uranus_longitude_l2, t);
5464 	L3 = ln_calc_series(uranus_longitude_l3, t);
5465 	L4 = ln_calc_series(uranus_longitude_l4, t);
5466 	position.L = (L0 + L1 * t + L2 * t2 + L3 * t3 + L4 * t4);
5467 
5468 	/* calc B series */
5469 	B0 = ln_calc_series(uranus_latitude_b0, t);
5470 	B1 = ln_calc_series(uranus_latitude_b1, t);
5471 	B2 = ln_calc_series(uranus_latitude_b2, t);
5472 	B3 = ln_calc_series(uranus_latitude_b3, t);
5473 	position.B = (B0 + B1 * t + B2 * t2 + B3 * t3);
5474 
5475 
5476 	/* calc R series */
5477 	R0 = ln_calc_series(uranus_radius_r0, t);
5478 	R1 = ln_calc_series(uranus_radius_r1, t);
5479 	R2 = ln_calc_series(uranus_radius_r2, t);
5480 	R3 = ln_calc_series(uranus_radius_r3, t);
5481 	R4 = ln_calc_series(uranus_radius_r4, t);
5482 	position.R = (R0 + R1 * t + R2 * t2 + R3 * t3 + R4 * t4);
5483 
5484 	/* change to degrees in correct quadrant */
5485 	position.L = ln_rad_to_deg(position.L);
5486 	position.B = ln_rad_to_deg(position.B);
5487 	position.L = ln_range_degrees(position.L);
5488 
5489 	/* change to fk5 reference frame */
5490 	ln_vsop87_to_fk5(position, JD);
5491 
5492 	/* save cache */
5493 	cJD = JD;
5494 	cL = position.L;
5495 	cB = position.B;
5496 	cR = position.R;
5497 }
5498 
5499 
5500 /*! \fn double ln_get_uranus_earth_dist(double JD);
5501 * \param JD Julian day
5502 * \brief Calculate the distance between Uranus and the Earth in AU
5503 * \return Distance in AU
5504 *
5505 * Calculates the distance in AU between the Earth and Uranus for
5506 * the given julian day.
5507 */
5508 @nogc double ln_get_uranus_earth_dist(double JD) nothrow
5509 {
5510 	ln_helio_posn h_uranus, h_earth;
5511 	ln_rect_posn g_uranus, g_earth;
5512 	double x, y, z;
5513 
5514 	/* get heliocentric positions */
5515 	ln_get_uranus_helio_coords(JD, h_uranus);
5516 	ln_get_earth_helio_coords(JD, h_earth);
5517 
5518 	/* get geocentric coords */
5519 	ln_get_rect_from_helio(h_uranus, g_uranus);
5520 	ln_get_rect_from_helio(h_earth, g_earth);
5521 
5522 	/* use pythag */
5523 	x = g_uranus.X - g_earth.X;
5524 	y = g_uranus.Y - g_earth.Y;
5525 	z = g_uranus.Z - g_earth.Z;
5526 	x = x * x;
5527 	y = y * y;
5528 	z = z * z;
5529 
5530 	return sqrt(x + y + z);
5531 }
5532 
5533 /*! \fn double ln_get_uranus_solar_dist(double JD);
5534 * \param JD Julian day
5535 * \brief Calculate the distance between Uranus and the Sun in AU
5536 * \return Distance in AU
5537 *
5538 * Calculates the distance in AU between the Sun and Uranus for
5539 * the given julian day.
5540 */
5541 @nogc double ln_get_uranus_solar_dist(double JD) nothrow
5542 {
5543 	ln_helio_posn h_uranus;
5544 
5545 	/* get heliocentric position */
5546 	ln_get_uranus_helio_coords(JD, h_uranus);
5547 	return h_uranus.R;
5548 }
5549 
5550 /*! \fn double ln_get_uranus_magnitude(double JD);
5551 * \param JD Julian day
5552 * \brief Calculate the visible magnitude of Uranus
5553 * \return Visible magnitude of Uranus
5554 *
5555 * Calculate the visible magnitude of Uranus for the given
5556 * julian day.
5557 */
5558 @nogc double ln_get_uranus_magnitude(double JD) nothrow
5559 {
5560 	double delta, r;
5561 
5562 	/* get distances */
5563 	r = ln_get_uranus_solar_dist(JD);
5564 	delta = ln_get_uranus_earth_dist(JD);
5565 
5566 	return -7.19 + 5.0 * log10(r * delta);
5567 }
5568 
5569 /*! \fn double ln_get_uranus_disk(double JD);
5570 * \param JD Julian day
5571 * \brief Calculate the illuminated fraction of Uranus disk
5572 * \return Illuminated fraction of Uranus disk
5573 *
5574 * Calculate the illuminated fraction of Uranus's disk for the given Julian
5575 * day.
5576 */
5577 /* Chapter 41 */
5578 @nogc double ln_get_uranus_disk(double JD) nothrow
5579 {
5580 	double r, delta, R;
5581 
5582 	/* get distances */
5583 	R = ln_get_earth_solar_dist(JD);
5584 	r = ln_get_uranus_solar_dist(JD);
5585 	delta = ln_get_uranus_earth_dist(JD);
5586 
5587 	/* calc fraction angle */
5588 	return (((r + delta) * (r + delta)) - R * R) / (4.0 * r * delta);
5589 }
5590 
5591 /*! \fn double ln_get_uranus_phase(double JD);
5592 * \param JD Julian day
5593 * \brief Calculate the phase angle of Uranus (Sun - Uranus - Earth)
5594 * \return Phase angle of Uranus (degrees)
5595 *
5596 * Calculates the phase angle of Uranus, that is, the angle Sun -
5597 * Uranus - Earth for the given Julian day.
5598 */
5599 /* Chapter 41 */
5600 @nogc double ln_get_uranus_phase(double JD) nothrow
5601 {
5602 	double i, r, delta, R;
5603 
5604 	/* get distances */
5605 	R = ln_get_earth_solar_dist(JD);
5606 	r = ln_get_uranus_solar_dist(JD);
5607 	delta = ln_get_uranus_earth_dist(JD);
5608 
5609 	/* calc phase */
5610 	i = (r * r + delta * delta - R * R) / (2.0 * r * delta);
5611 	i = acos(i);
5612 	return ln_rad_to_deg(i);
5613 }
5614 
5615 /*! \fn double ln_get_uranus_rst(double JD, struct ln_lnlat_posn *observer, struct ln_rst_time *rst);
5616 * \param JD Julian day
5617 * \param observer Observers position
5618 * \param rst Pointer to store Rise, Set and Transit time in JD
5619 * \return 0 for success, else 1 for circumpolar.
5620 *
5621 * Calculate the time the rise, set and transit (crosses the local meridian at upper culmination)
5622 * time of Uranus for the given Julian day.
5623 *
5624 * Note: this functions returns 1 if Uranus is circumpolar, that is it remains the whole
5625 * day either above or below the horizon.
5626 */
5627 @nogc int ln_get_uranus_rst(double JD, const ref ln_lnlat_posn observer,
5628 	ref ln_rst_time rst) nothrow
5629 {
5630 	return ln_get_body_rst_horizon(JD, observer, &ln_get_uranus_equ_coords,
5631 		LN_STAR_STANDART_HORIZON, rst);
5632 }
5633 
5634 
5635 /*! \fn double ln_get_uranus_sdiam(double JD)
5636 * \param JD Julian day
5637 * \return Semidiameter in arc seconds
5638 *
5639 * Calculate the semidiameter of Uranus in arc seconds for the
5640 * given julian day.
5641 */
5642 @nogc double ln_get_uranus_sdiam(double JD) nothrow
5643 {
5644 	double So = 35.02; /* at 1 AU */
5645 	double dist;
5646 
5647 	dist = ln_get_uranus_earth_dist(JD);
5648 	return So / dist;
5649 }
5650 
5651 /*! \fn void ln_get_uranus_rect_helio(double JD, struct ln_rect_posn *position)
5652 * \param JD Julian day.
5653 * \param position pointer to return position
5654 *
5655 * Calculate Uranus rectangular heliocentric coordinates for the
5656 * given Julian day. Coordinates are in AU.
5657 */
5658 @nogc void ln_get_uranus_rect_helio(double JD, ref ln_rect_posn position) nothrow
5659 {
5660 	ln_helio_posn uranus;
5661 
5662 	ln_get_uranus_helio_coords(JD, uranus);
5663 	ln_get_rect_from_helio(uranus, position);
5664 }
5665 
5666 }