/*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*
* Some functions in this file use the VSOP87 solution by
* Messrs. Bretagnon and Francou.
*
* Copyright (C) 2000 - 2005 Liam Girdwood
*/
#include <math.h>
#include <libnova/uranus.h>
#include <libnova/vsop87.h>
#include <libnova/solar.h>
#include <libnova/earth.h>
#include <libnova/transform.h>
#include <libnova/rise_set.h>
#include <libnova/utility.h>
#define LONG_L0 1441
#define LONG_L1 655
#define LONG_L2 259
#define LONG_L3 69
#define LONG_L4 8
#define LAT_B0 311
#define LAT_B1 130
#define LAT_B2 39
#define LAT_B3 15
#define RADIUS_R0 1387
#define RADIUS_R1 625
#define RADIUS_R2 249
#define RADIUS_R3 69
#define RADIUS_R4 12
/* cache variables */
static double cJD = 0, cL = 0, cB = 0, cR = 0;
static const struct ln_vsop uranus_longitude_l0[LONG_L0] = {
{ 5.48129294297, 0.00000000000, 0.00000000000},
{ 0.09260408234, 0.89106421507, 74.78159856730},
{ 0.01504247898, 3.62719260920, 1.48447270830},
{ 0.00365981674, 1.89962179044, 73.29712585900},
{ 0.00272328168, 3.35823706307, 149.56319713460},
{ 0.00070328461, 5.39254450063, 63.73589830340},
{ 0.00068892678, 6.09292483287, 76.26607127560},
{ 0.00061998615, 2.26952066061, 2.96894541660},
{ 0.00061950719, 2.85098872691, 11.04570026390},
{ 0.00026468770, 3.14152083966, 71.81265315070},
{ 0.00025710476, 6.11379840493, 454.90936652730},
{ 0.00021078850, 4.36059339067, 148.07872442630},
{ 0.00017818647, 1.74436930289, 36.64856292950},
{ 0.00014613507, 4.73732166022, 3.93215326310},
{ 0.00011162509, 5.82681796350, 224.34479570190},
{ 0.00010997910, 0.48865004018, 138.51749687070},
{ 0.00009527478, 2.95516862826, 35.16409022120},
{ 0.00007545601, 5.23626582400, 109.94568878850},
{ 0.00004220241, 3.23328220918, 70.84944530420},
{ 0.00004051900, 2.27755017300, 151.04766984290},
{ 0.00003354596, 1.06549007380, 4.45341812490},
{ 0.00002926718, 4.62903718891, 9.56122755560},
{ 0.00003490340, 5.48306144511, 146.59425171800},
{ 0.00003144069, 4.75199570434, 77.75054398390},
{ 0.00002922333, 5.35235361027, 85.82729883120},
{ 0.00002272788, 4.36600400036, 70.32818044240},
{ 0.00002051219, 1.51773566586, 0.11187458460},
{ 0.00002148602, 0.60745949945, 38.13303563780},
{ 0.00001991643, 4.92437588682, 277.03499374140},
{ 0.00001376226, 2.04283539351, 65.22037101170},
{ 0.00001666902, 3.62744066769, 380.12776796000},
{ 0.00001284107, 3.11347961505, 202.25339517410},
{ 0.00001150429, 0.93343589092, 3.18139373770},
{ 0.00001533221, 2.58594681212, 52.69019803950},
{ 0.00001281604, 0.54271272721, 222.86032299360},
{ 0.00001372139, 4.19641530878, 111.43016149680},
{ 0.00001221029, 0.19900650030, 108.46121608020},
{ 0.00000946181, 1.19253165736, 127.47179660680},
{ 0.00001150989, 4.17898916639, 33.67961751290},
{ 0.00001244347, 0.91614441731, 2.44768055480},
{ 0.00001072013, 0.23566016888, 62.25142559510},
{ 0.00001090463, 1.77501500531, 12.53017297220},
{ 0.00000707935, 5.18291670033, 213.29909543800},
{ 0.00000653376, 0.96587864431, 78.71375183040},
{ 0.00000627570, 0.18209040157, 984.60033162190},
{ 0.00000524485, 2.01275350435, 299.12639426920},
{ 0.00000559396, 3.35768635981, 0.52126486180},
{ 0.00000606847, 5.43209889250, 529.69096509460},
{ 0.00000404897, 5.98690517582, 8.07675484730},
{ 0.00000467183, 0.41482520325, 145.10977900970},
{ 0.00000471311, 1.40661608158, 184.72728735580},
{ 0.00000483226, 2.10553218341, 0.96320784650},
{ 0.00000395569, 5.87037914022, 351.81659230870},
{ 0.00000433527, 5.52141037763, 183.24281464750},
{ 0.00000309843, 5.83301863492, 145.63104387150},
{ 0.00000378642, 2.34989391811, 56.62235130260},
{ 0.00000399033, 0.33796522578, 415.55249061210},
{ 0.00000300392, 5.64355207373, 22.09140052780},
{ 0.00000249230, 4.74621772167, 225.82926841020},
{ 0.00000239311, 2.35072447972, 137.03302416240},
{ 0.00000294103, 5.83919833199, 39.61750834610},
{ 0.00000216450, 4.77807782477, 340.77089204480},
{ 0.00000251784, 1.63692846797, 221.37585028530},
{ 0.00000219624, 1.92233630317, 67.66805156650},
{ 0.00000202019, 1.29693040688, 0.04818410980},
{ 0.00000224105, 0.51589500446, 84.34282612290},
{ 0.00000216563, 6.14217553245, 5.93789083320},
{ 0.00000222605, 2.84314245655, 0.26063243090},
{ 0.00000207907, 5.58012637880, 68.84370773410},
{ 0.00000187520, 1.31927606520, 0.16005869440},
{ 0.00000199306, 0.95648612651, 152.53214255120},
{ 0.00000158075, 0.73795262538, 54.17467074780},
{ 0.00000168606, 5.87865394974, 18.15924726470},
{ 0.00000170326, 3.67712574811, 5.41662597140},
{ 0.00000193647, 1.88800957346, 456.39383923560},
{ 0.00000193051, 0.91616617785, 453.42489381900},
{ 0.00000181991, 3.53625031273, 79.23501669220},
{ 0.00000173102, 1.53869634445, 160.60889739850},
{ 0.00000164483, 1.42390725018, 106.97674337190},
{ 0.00000171940, 5.67948631369, 219.89137757700},
{ 0.00000162805, 3.05027759814, 112.91463420510},
{ 0.00000146659, 1.26296726443, 59.80374504030},
{ 0.00000139276, 5.38697273752, 32.19514480460},
{ 0.00000138636, 4.25998533357, 909.81873305460},
{ 0.00000143058, 1.29980453870, 35.42472265210},
{ 0.00000123986, 1.37489956563, 7.11354700080},
{ 0.00000104582, 5.02793726187, 0.75075952540},
{ 0.00000103295, 0.68145096277, 14.97785352700},
{ 0.00000094957, 0.90678215577, 74.66972398270},
{ 0.00000082948, 2.92800368384, 265.98929347750},
{ 0.00000110403, 2.02666475709, 554.06998748280},
{ 0.00000094433, 3.94271122207, 74.89347315190},
{ 0.00000080072, 1.01583506701, 6.59228213900},
{ 0.00000109576, 5.70572405893, 77.96299230500},
{ 0.00000085946, 1.70581556772, 82.85835341460},
{ 0.00000103799, 1.45794315266, 24.37902238820},
{ 0.00000074661, 4.63178804642, 69.36497259590},
{ 0.00000079813, 3.00965058125, 297.64192156090},
{ 0.00000084490, 0.36886722094, 186.21176006410},
{ 0.00000088657, 0.52498114072, 181.75834193920},
{ 0.00000070368, 1.18984702891, 66.70484372000},
{ 0.00000069971, 0.87463619381, 305.34616939270},
{ 0.00000070082, 3.75845990682, 131.40394986990},
{ 0.00000084350, 5.88592009032, 256.53994050650},
{ 0.00000074493, 6.24238684280, 447.79581952650},
{ 0.00000062454, 0.16868402018, 479.28838891550},
{ 0.00000072904, 2.84891153624, 462.02291352810},
{ 0.00000069205, 4.43939850837, 39.35687591520},
{ 0.00000076729, 4.58716659215, 6.21977512350},
{ 0.00000073423, 4.27591432865, 87.31177153950},
{ 0.00000055577, 1.49804110443, 71.60020482960},
{ 0.00000057315, 1.63007488533, 143.62530630140},
{ 0.00000061674, 3.18616775231, 77.22927912210},
{ 0.00000057668, 3.67128264895, 51.20572533120},
{ 0.00000050352, 1.12355398826, 20.60692781950},
{ 0.00000053720, 5.51853172042, 128.95626931510},
{ 0.00000057895, 2.66869216910, 381.61224066830},
{ 0.00000058089, 1.58635213310, 60.76695288680},
{ 0.00000045390, 0.48027056949, 14.01464568050},
{ 0.00000037513, 6.06768205316, 211.81462272970},
{ 0.00000038565, 3.43547372715, 153.49535039770},
{ 0.00000046085, 4.36220351003, 75.74480641380},
{ 0.00000040220, 4.57551863155, 46.20979048510},
{ 0.00000034314, 2.93858938870, 140.00196957900},
{ 0.00000038754, 5.59046474201, 99.16062095550},
{ 0.00000034864, 1.02877681340, 203.73786788240},
{ 0.00000040016, 0.69893479575, 218.40690486870},
{ 0.00000032562, 4.21895389367, 200.76892246580},
{ 0.00000031889, 5.50965372046, 72.33391801250},
{ 0.00000041668, 3.82449219367, 81.00137369080},
{ 0.00000034668, 0.39221757952, 1.37259812370},
{ 0.00000039741, 6.05490168728, 293.18850343600},
{ 0.00000027545, 2.18754130148, 125.98732389850},
{ 0.00000036328, 1.66621808766, 258.02441321480},
{ 0.00000035508, 1.96672429313, 835.03713448730},
{ 0.00000035373, 3.72274050162, 692.58748435350},
{ 0.00000027364, 2.10315692995, 209.36694217490},
{ 0.00000026442, 4.48298644364, 373.90799283650},
{ 0.00000034517, 1.08687838842, 191.20769491020},
{ 0.00000026317, 3.63357788040, 490.33408917940},
{ 0.00000029888, 3.87365011384, 259.50888592310},
{ 0.00000025926, 0.54378574725, 41.64449777560},
{ 0.00000027110, 0.00478270361, 28.57180808220},
{ 0.00000026313, 5.81236674192, 75.30286342910},
{ 0.00000034277, 6.05545630018, 275.55052103310},
{ 0.00000024315, 3.18651202042, 81.37388070630},
{ 0.00000029936, 1.88789030410, 269.92144674060},
{ 0.00000026242, 6.20368166778, 134.58534360760},
{ 0.00000022842, 0.92857008471, 288.08069400530},
{ 0.00000025216, 5.43032747843, 116.42609634290},
{ 0.00000027063, 4.75299776159, 41.10198105440},
{ 0.00000022706, 0.53057453120, 1514.29129671650},
{ 0.00000026480, 4.77161377188, 284.14854074220},
{ 0.00000021950, 4.59091247537, 404.50679034820},
{ 0.00000022022, 1.84418065243, 617.80588578620},
{ 0.00000024811, 4.70901440561, 378.64329525170},
{ 0.00000029040, 0.17160028536, 528.20649238630},
{ 0.00000020487, 0.10247779138, 195.13984817330},
{ 0.00000020726, 5.62240737217, 55.65914345610},
{ 0.00000025919, 0.74700144605, 278.51946644970},
{ 0.00000022824, 3.58334799786, 1.59634729290},
{ 0.00000021855, 0.05691568897, 173.94221952280},
{ 0.00000019045, 2.30354999303, 5.10780943070},
{ 0.00000020831, 2.64115582292, 105.49227066360},
{ 0.00000021849, 5.87274563981, 45.57665103870},
{ 0.00000021075, 1.98176191313, 114.39910691340},
{ 0.00000019306, 2.84240229356, 159.12442469020},
{ 0.00000019062, 0.50604571692, 67.35923502580},
{ 0.00000020431, 3.77538635518, 135.54855145410},
{ 0.00000017322, 4.47827838578, 120.35824960600},
{ 0.00000020581, 0.88703968592, 255.05546779820},
{ 0.00000019339, 1.48569403160, 0.89377187730},
{ 0.00000021333, 2.74458777210, 28.31117565130},
{ 0.00000017629, 4.09292272552, 296.15744885260},
{ 0.00000015918, 3.94524461273, 17.52610781830},
{ 0.00000015556, 0.92841352827, 300.61086697750},
{ 0.00000016443, 0.30879187235, 30.71067209630},
{ 0.00000015248, 4.93045860155, 7.42236354150},
{ 0.00000019300, 6.21959323869, 329.83706636550},
{ 0.00000013876, 0.56084534056, 144.14657116320},
{ 0.00000016198, 2.30318612128, 344.70304530790},
{ 0.00000016033, 0.19604773155, 103.09277421860},
{ 0.00000014368, 2.57751058848, 230.56457082540},
{ 0.00000016807, 4.93620648940, 565.11568774670},
{ 0.00000017121, 1.82016259921, 294.67297614430},
{ 0.00000016827, 0.27566510604, 73.81839072080},
{ 0.00000015455, 1.91556741732, 96.87299909510},
{ 0.00000015814, 3.86318315976, 98.89998852460},
{ 0.00000011923, 6.17587234615, 44.72531777680},
{ 0.00000012446, 6.22466345410, 80.19822453870},
{ 0.00000013001, 1.99483872260, 27.08733537390},
{ 0.00000013180, 3.43753711704, 227.31374111850},
{ 0.00000011678, 4.31505860166, 426.59819087600},
{ 0.00000014374, 5.78359439943, 1059.38193018920},
{ 0.00000015879, 0.98454960135, 6208.29425142410},
{ 0.00000011511, 2.55846980442, 19.12245511120},
{ 0.00000011193, 1.74548073119, 220.41264243880},
{ 0.00000011981, 5.84355465210, 13.33332212430},
{ 0.00000013333, 5.39450805857, 391.17346822390},
{ 0.00000012322, 4.57477369077, 23.57587323610},
{ 0.00000012847, 1.77354298387, 180.27386923090},
{ 0.00000011629, 4.29071404978, 142.44965013380},
{ 0.00000012214, 2.44698830848, 100.38446123290},
{ 0.00000012439, 2.32661007670, 80.71948940050},
{ 0.00000009770, 0.39792836846, 7.86430652620},
{ 0.00000013165, 2.74113201454, 177.87437278590},
{ 0.00000012265, 5.42816045200, 831.10498122420},
{ 0.00000010264, 5.90199222998, 74.52096613640},
{ 0.00000009317, 3.75869700707, 74.82978267710},
{ 0.00000012284, 5.52145313445, 74.26033370550},
{ 0.00000010682, 4.00694729802, 235.39049596580},
{ 0.00000009243, 5.38488037675, 20.44686912510},
{ 0.00000009458, 2.60118467048, 92.30770638560},
{ 0.00000009317, 1.16483658243, 74.73341445750},
{ 0.00000010786, 1.88993609169, 241.61027108930},
{ 0.00000010597, 5.50467173303, 187.69623277240},
{ 0.00000012035, 6.02036249862, 154.01661525950},
{ 0.00000009129, 1.15458738606, 0.63313944640},
{ 0.00000011708, 6.25765865911, 155.78297225810},
{ 0.00000012186, 5.79479693025, 1364.72809958190},
{ 0.00000010992, 5.76674596450, 628.85158605010},
{ 0.00000008531, 5.17918037530, 1.64453140270},
{ 0.00000008662, 3.78046237096, 74.94165726170},
{ 0.00000011225, 1.30868548209, 604.47256366190},
{ 0.00000010540, 1.05897224519, 291.70403072770},
{ 0.00000008443, 3.52060391248, 756.32338265690},
{ 0.00000010290, 5.30499384790, 75.04223099820},
{ 0.00000009591, 1.64200163871, 24.11838995730},
{ 0.00000008020, 6.24545313293, 543.02428721890},
{ 0.00000007796, 5.23505740309, 58.10682401090},
{ 0.00000008649, 1.14271989382, 74.62153987290},
{ 0.00000007793, 4.00212500951, 31.49256938900},
{ 0.00000008915, 3.63129999542, 408.43894361130},
{ 0.00000007195, 4.24369275612, 110.20632121940},
{ 0.00000009545, 2.00926809412, 331.32153907380},
{ 0.00000008786, 2.25836637388, 451.94042111070},
{ 0.00000009768, 0.10232823685, 366.48562929500},
{ 0.00000009075, 1.63090160034, 443.86366626340},
{ 0.00000007255, 4.35305855248, 88.11492069160},
{ 0.00000009482, 1.43114303369, 414.06801790380},
{ 0.00000007645, 0.62076955028, 50.40257617910},
{ 0.00000006836, 5.12192858785, 0.80314915210},
{ 0.00000006899, 5.86240754958, 339.28641933650},
{ 0.00000008125, 0.45159535895, 25.60286266560},
{ 0.00000006488, 6.03171366016, 1.22384027740},
{ 0.00000009108, 2.41055572869, 10138.50394764370},
{ 0.00000008139, 0.21930359866, 422.66603761290},
{ 0.00000007164, 4.00283046264, 157.63995198190},
{ 0.00000006393, 4.47880072523, 79.88940799800},
{ 0.00000008039, 2.10161085530, 92.94084583200},
{ 0.00000006773, 1.38798529262, 16.67477455640},
{ 0.00000006816, 2.84724339946, 142.14083359310},
{ 0.00000007788, 5.86998158412, 760.25553592000},
{ 0.00000008380, 2.33770107198, 417.03696332040},
{ 0.00000007928, 3.41948324447, 7.70424783180},
{ 0.00000007235, 0.50521045386, 457.87831194390},
{ 0.00000007143, 5.57879993926, 4.73530241520},
{ 0.00000007379, 0.47767694338, 68.18931642830},
{ 0.00000006403, 3.88657131997, 74.03083904190},
{ 0.00000006101, 1.65240727244, 350.33211960040},
{ 0.00000006820, 6.15375544111, 67.88049988760},
{ 0.00000005994, 2.36087653120, 2.00573757010},
{ 0.00000006008, 5.46469064027, 48.75804477640},
{ 0.00000007020, 0.13804863634, 306.83064210100},
{ 0.00000005720, 1.49555002206, 206.18554843720},
{ 0.00000006862, 1.08055101709, 465.95506679120},
{ 0.00000006413, 5.07420793721, 4.66586644600},
{ 0.00000007804, 3.98873608283, 3.62333672240},
{ 0.00000005530, 5.57878118094, 2.92076130680},
{ 0.00000005519, 3.38213279322, 149.45132255000},
{ 0.00000006111, 1.95407755561, 216.92243216040},
{ 0.00000006580, 2.70993826910, 329.72519178090},
{ 0.00000005835, 3.99897551776, 347.88443904560},
{ 0.00000005112, 2.42454049536, 342.25536475310},
{ 0.00000005533, 2.83342316665, 260.99335863140},
{ 0.00000005727, 0.49154098031, 0.37250701550},
{ 0.00000005395, 2.78483514026, 13.49338081870},
{ 0.00000006024, 4.78785737004, 558.00214074590},
{ 0.00000004903, 1.76924594442, 333.65734504400},
{ 0.00000005381, 5.71120333625, 1.69692102940},
{ 0.00000005389, 2.94075276200, 9.40116886120},
{ 0.00000005042, 5.47678294897, 372.42352012820},
{ 0.00000005093, 3.43101132912, 518.64526483070},
{ 0.00000004766, 5.34829276989, 61.28821774860},
{ 0.00000005655, 3.30309284254, 0.65439130580},
{ 0.00000005566, 0.44947190504, 162.09337010680},
{ 0.00000005834, 3.46697149482, 55.13787859430},
{ 0.00000005656, 1.23594821626, 328.35259365720},
{ 0.00000005071, 5.42033083225, 977.48678462110},
{ 0.00000005719, 0.66730329426, 92.04707395470},
{ 0.00000005283, 2.42272151430, 58.31927233200},
{ 0.00000005613, 2.36101054919, 6.90109867970},
{ 0.00000004853, 1.27093959120, 983.11585891360},
{ 0.00000005512, 0.13294006611, 149.67507171920},
{ 0.00000004693, 1.85511154338, 119.50691634410},
{ 0.00000004307, 4.18173079985, 90.82323367730},
{ 0.00000005957, 1.73124132593, 152.74459087230},
{ 0.00000005675, 5.53546214308, 1087.69310584050},
{ 0.00000004562, 3.26460078185, 89.75945209430},
{ 0.00000005594, 5.75194360195, 358.93013930950},
{ 0.00000004689, 5.01733767973, 43.12897048390},
{ 0.00000004424, 0.97724627015, 4.19278569400},
{ 0.00000004012, 1.08246444514, 75.53235809270},
{ 0.00000005623, 1.10387378290, 66.91729204110},
{ 0.00000004048, 1.94074496693, 17.26547538740},
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{ 0.00000000102, 2.92980359364, 533.46305966330},
{ 0.00000000092, 4.94283886398, 1055.44977692610},
{ 0.00000000113, 2.35541984980, 176.65053250850},
{ 0.00000000098, 6.04221644753, 1357.61455258110},
{ 0.00000000086, 2.90604124166, 234.49672408850},
{ 0.00000000085, 0.83669286935, 301.41401612960},
{ 0.00000000098, 0.85154630120, 1131.19458333990},
{ 0.00000000112, 0.92696951989, 590.83042499690},
{ 0.00000000112, 5.45918572076, 705.11765732570},
{ 0.00000000101, 4.26515214526, 195.40048060420},
{ 0.00000000102, 5.81318586612, 1396.22066897090},
{ 0.00000000084, 3.86583598631, 913.00012679230},
{ 0.00000000101, 0.14878503401, 702.14871190910},
{ 0.00000000098, 0.30973273548, 12.15766595670},
{ 0.00000000094, 5.53729042047, 178.13500521680},
{ 0.00000000090, 1.42741371964, 592.20302312060},
{ 0.00000000103, 3.56392656212, 487.10451133190},
{ 0.00000000114, 1.71224480179, 216.26804085460},
{ 0.00000000098, 6.12303086368, 575.26761613330},
{ 0.00000000082, 3.07432558693, 315.16802937920},
{ 0.00000000099, 0.95472771381, 176.38990007760},
{ 0.00000000114, 2.59949812888, 75.63293182920},
{ 0.00000000091, 5.72899997508, 196.88495331250},
{ 0.00000000098, 1.78363341484, 259.76951835400},
{ 0.00000000113, 1.70438642876, 150.93579525830},
{ 0.00000000081, 6.19017012933, 154.22906358060},
{ 0.00000000087, 2.67929938770, 539.09213395580},
{ 0.00000000080, 2.38043346629, 1053.75285589670},
{ 0.00000000084, 3.41034232685, 1349.75024605490},
{ 0.00000000088, 0.14553753672, 1062.35087560580},
{ 0.00000000092, 0.39976274896, 576.16138801060},
{ 0.00000000080, 6.14901515198, 515.46387109300},
{ 0.00000000084, 4.08795854193, 323.24478422650},
{ 0.00000000079, 3.44985050546, 71.70077856610},
{ 0.00000000103, 0.24719113679, 395.10562148700},
{ 0.00000000081, 2.61930932018, 623.22251175760},
{ 0.00000000079, 0.90143680512, 718.61103814440},
{ 0.00000000079, 2.22415153671, 74.04788538440},
{ 0.00000000092, 2.57503576494, 302.16477565500},
{ 0.00000000094, 4.13472590590, 64.25716316520},
{ 0.00000000090, 3.55225063298, 495.96316347190},
{ 0.00000000097, 5.23472340611, 1112.07212822870},
{ 0.00000000088, 5.01537308962, 1297.86319716750},
{ 0.00000000090, 1.32491876418, 724.83081326790},
{ 0.00000000106, 5.11210367902, 74.19089773630},
{ 0.00000000084, 2.69256231569, 27.74172667970},
{ 0.00000000083, 3.61925786724, 514.71311156760},
{ 0.00000000080, 4.91927269399, 347.36317418380},
{ 0.00000000077, 5.57198158633, 74.99404688840},
{ 0.00000000082, 2.22882573860, 469.88722005430},
{ 0.00000000089, 6.06487552896, 75.37229939830},
{ 0.00000000078, 3.25878759023, 394.35486196160},
{ 0.00000000104, 3.00022428298, 532.65991051120},
{ 0.00000000079, 4.37011833943, 396.54191008550},
{ 0.00000000103, 3.64560367439, 540.73666535850},
{ 0.00000000082, 4.43941220587, 432.81796599950},
{ 0.00000000101, 5.81737971094, 658.18966002270},
{ 0.00000000097, 2.59101775215, 690.13980379870},
{ 0.00000000082, 5.40861394405, 529.57909051000},
{ 0.00000000081, 2.52312280794, 384.95369310040},
{ 0.00000000076, 4.43418522057, 818.57480825200},
{ 0.00000000081, 0.95220782125, 73.66963287450},
{ 0.00000000087, 5.57227856660, 6284.56032269970},
{ 0.00000000094, 6.23547840274, 305.71867640820},
{ 0.00000000075, 4.35228806434, 112.49394307980},
{ 0.00000000096, 1.12909514630, 123.96033446900},
{ 0.00000000095, 2.73244270397, 934.19775544280},
{ 0.00000000097, 4.75415372291, 90.56260124640},
{ 0.00000000088, 5.23693832326, 434.67494572330},
{ 0.00000000076, 4.86126967725, 72.49397670690},
{ 0.00000000104, 5.37590823539, 543.91805909620},
{ 0.00000000091, 1.04794288604, 938.12990870590},
{ 0.00000000099, 2.19698635547, 1129.71011063160},
{ 0.00000000074, 3.27934639338, 89.00869256890},
{ 0.00000000100, 4.59916398079, 461.76228109720},
{ 0.00000000074, 5.63493926040, 233.53351624200},
{ 0.00000000074, 3.03606610688, 1531.55677210390},
{ 0.00000000099, 0.64774167845, 554.18186206740},
{ 0.00000000084, 3.14436294064, 370.04527554260},
{ 0.00000000077, 1.33778374453, 1022.31267613440},
{ 0.00000000081, 3.36096602483, 292.01284726840},
{ 0.00000000081, 4.15588604506, 432.22726516850},
{ 0.00000000074, 2.91359929208, 302.74973099160},
{ 0.00000000092, 5.11372489097, 912.78767847120},
{ 0.00000000073, 5.42920211703, 539.25219265020},
{ 0.00000000081, 5.25618688362, 311.65656724140},
{ 0.00000000082, 0.77806577612, 591.94239068970},
{ 0.00000000074, 0.16737907492, 1374.12926844310},
{ 0.00000000077, 3.20203134483, 527.24328453980},
{ 0.00000000081, 3.80903070318, 75.89356426010},
{ 0.00000000097, 4.67281118685, 16.98359109710},
{ 0.00000000077, 2.10541189728, 139.17188817650},
{ 0.00000000091, 4.67274741065, 84.86409098470},
{ 0.00000000098, 2.37249774428, 566.33952802410},
{ 0.00000000082, 2.16070758110, 529.80283967920},
{ 0.00000000072, 3.47566702228, 1086.04857443780},
{ 0.00000000092, 0.21608932947, 1297.06004801540},
{ 0.00000000093, 4.30059085579, 224.93549653290},
{ 0.00000000086, 3.02917299294, 126.50858876030},
{ 0.00000000079, 1.29816054687, 683.98946464440},
{ 0.00000000095, 2.46862196214, 9917.12809735840},
{ 0.00000000076, 2.48420575089, 37.71234451250},
{ 0.00000000097, 0.68274913158, 207.36120460480},
{ 0.00000000096, 4.16112194001, 1042.91960395390},
{ 0.00000000071, 6.04130834510, 223.45102382460},
{ 0.00000000076, 3.37676835926, 502.86426215160},
{ 0.00000000084, 3.24912782551, 628.96346063470},
{ 0.00000000073, 0.73113607430, 390.49214466770},
{ 0.00000000071, 4.64209882547, 72.54636633360},
{ 0.00000000073, 3.31815515601, 356.27001043360},
{ 0.00000000072, 2.60766427215, 602.02488310710},
{ 0.00000000074, 5.76600995478, 1424.53184462220},
{ 0.00000000074, 4.22820017237, 1274.96864748760},
{ 0.00000000074, 2.78217896807, 1522.20799286940},
{ 0.00000000074, 4.38596183925, 1372.64479573480},
};
static const struct ln_vsop uranus_longitude_l1[LONG_L1] = {
{ 74.78159860910, 0.00000000000, 0.00000000000},
{ 0.00154332863, 5.24158770553, 74.78159856730},
{ 0.00024456474, 1.71260334156, 1.48447270830},
{ 0.00009258442, 0.42829732350, 11.04570026390},
{ 0.00008265977, 1.50218091379, 63.73589830340},
{ 0.00009150160, 1.41213765216, 149.56319713460},
{ 0.00003899108, 0.46483579160, 3.93215326310},
{ 0.00002277065, 4.17199181523, 76.26607127560},
{ 0.00001927470, 0.52976188479, 2.96894541660},
{ 0.00001232725, 1.58632088145, 70.84944530420},
{ 0.00000791201, 5.43640595978, 3.18139373770},
{ 0.00000766954, 1.99425624214, 73.29712585900},
{ 0.00000481813, 2.98574070918, 85.82729883120},
{ 0.00000449635, 4.14242946378, 138.51749687070},
{ 0.00000565091, 3.87400932383, 224.34479570190},
{ 0.00000426600, 4.73158166033, 71.81265315070},
{ 0.00000347745, 2.45368882357, 9.56122755560},
{ 0.00000332699, 2.55525645638, 148.07872442630},
{ 0.00000317054, 5.57858240166, 52.69019803950},
{ 0.00000179897, 5.68365861477, 12.53017297220},
{ 0.00000171119, 3.00040981195, 78.71375183040},
{ 0.00000205579, 2.36242761009, 2.44768055480},
{ 0.00000158038, 2.90930836614, 0.96320784650},
{ 0.00000189090, 4.20258063269, 56.62235130260},
{ 0.00000202696, 0.34360451816, 151.04766984290},
{ 0.00000154762, 5.59005854748, 4.45341812490},
{ 0.00000143472, 2.59047613814, 62.25142559510},
{ 0.00000151459, 2.93993108236, 77.75054398390},
{ 0.00000153561, 4.65220425575, 35.16409022120},
{ 0.00000121462, 4.14937021194, 127.47179660680},
{ 0.00000115538, 3.73245717203, 65.22037101170},
{ 0.00000102213, 4.18917777961, 145.63104387150},
{ 0.00000101894, 6.03382617339, 0.11187458460},
{ 0.00000088409, 3.99004756152, 18.15924726470},
{ 0.00000087591, 6.15639888455, 202.25339517410},
{ 0.00000080591, 2.64095955809, 22.09140052780},
{ 0.00000072047, 6.04586846354, 70.32818044240},
{ 0.00000068727, 4.05075598128, 77.96299230500},
{ 0.00000059329, 3.70581611259, 67.66805156650},
{ 0.00000047388, 3.54091852775, 351.81659230870},
{ 0.00000042712, 5.72066604839, 5.41662597140},
{ 0.00000044405, 5.91042456876, 7.11354700080},
{ 0.00000035784, 3.29585017124, 8.07675484730},
{ 0.00000035724, 3.32933903151, 71.60020482960},
{ 0.00000036081, 5.89881403933, 33.67961751290},
{ 0.00000041676, 4.94718694607, 222.86032299360},
{ 0.00000031215, 5.48938304422, 160.60889739850},
{ 0.00000031453, 5.62016551866, 984.60033162190},
{ 0.00000035171, 5.07842850969, 38.13303563780},
{ 0.00000035543, 0.05502439660, 299.12639426920},
{ 0.00000030810, 5.49604033608, 59.80374504030},
{ 0.00000028883, 4.51759500034, 84.34282612290},
{ 0.00000026705, 5.53637447019, 131.40394986990},
{ 0.00000029956, 1.66046193211, 447.79581952650},
{ 0.00000029206, 1.14722620686, 462.02291352810},
{ 0.00000025811, 4.99049651973, 137.03302416240},
{ 0.00000025474, 5.73884476629, 380.12776796000},
{ 0.00000021683, 2.80603505468, 69.36497259590},
{ 0.00000023016, 2.24983506758, 111.43016149680},
{ 0.00000019228, 3.55594434001, 54.17467074780},
{ 0.00000021696, 0.98872139680, 213.29909543800},
{ 0.00000019457, 1.86460184285, 108.46121608020},
{ 0.00000016140, 3.10230818045, 14.97785352700},
{ 0.00000013138, 1.95065801902, 87.31177153950},
{ 0.00000013904, 1.54207093820, 340.77089204480},
{ 0.00000013543, 4.38430774439, 5.93789083320},
{ 0.00000016493, 2.80104132725, 225.82926841020},
{ 0.00000013111, 5.88308816286, 6.21977512350},
{ 0.00000011811, 0.32606713574, 35.42472265210},
{ 0.00000012471, 0.32808369953, 51.20572533120},
{ 0.00000010981, 1.69299666770, 45.57665103870},
{ 0.00000010888, 5.97042047900, 265.98929347750},
{ 0.00000011433, 3.37877229066, 72.33391801250},
{ 0.00000012003, 3.60398124894, 269.92144674060},
{ 0.00000012936, 5.38263455371, 152.53214255120},
{ 0.00000011674, 1.74413259892, 79.23501669220},
{ 0.00000010446, 4.16878885118, 24.37902238820},
{ 0.00000010634, 3.06878261442, 284.14854074220},
{ 0.00000009674, 5.51339189448, 153.49535039770},
{ 0.00000009590, 0.49485192598, 209.36694217490},
{ 0.00000009269, 3.54589954480, 41.64449777560},
{ 0.00000009568, 5.59970406046, 82.85835341460},
{ 0.00000009310, 4.49468477512, 20.60692781950},
{ 0.00000009632, 1.00932793597, 68.84370773410},
{ 0.00000008745, 3.91021963381, 60.76695288680},
{ 0.00000010176, 3.51758777802, 529.69096509460},
{ 0.00000010048, 4.64919764888, 77.22927912210},
{ 0.00000008679, 1.96792212254, 195.13984817330},
{ 0.00000008387, 4.41835912213, 134.58534360760},
{ 0.00000007983, 5.35924979986, 75.74480641380},
{ 0.00000009263, 3.95182354442, 39.61750834610},
{ 0.00000007594, 5.77307721631, 73.81839072080},
{ 0.00000007713, 4.44174669087, 14.01464568050},
{ 0.00000007490, 2.17900285342, 145.10977900970},
{ 0.00000007873, 5.74835382023, 184.72728735580},
{ 0.00000007688, 2.41795807218, 146.59425171800},
{ 0.00000006438, 0.84540553248, 32.19514480460},
{ 0.00000006256, 2.17063033953, 74.89347315190},
{ 0.00000007937, 0.17172664970, 120.35824960600},
{ 0.00000007020, 4.12096862702, 191.20769491020},
{ 0.00000006862, 2.13341287037, 116.42609634290},
{ 0.00000005208, 3.11117214481, 106.97674337190},
{ 0.00000004811, 2.25140758551, 46.20979048510},
{ 0.00000004566, 3.45427623308, 0.75075952540},
{ 0.00000004473, 3.94632863732, 6.59228213900},
{ 0.00000005202, 1.15450734319, 112.91463420510},
{ 0.00000004323, 5.15540388592, 144.14657116320},
{ 0.00000004746, 5.18244413774, 81.00137369080},
{ 0.00000004232, 0.21921910020, 92.94084583200},
{ 0.00000004323, 2.52442111234, 99.16062095550},
{ 0.00000003879, 2.78711315762, 565.11568774670},
{ 0.00000004332, 5.91118459987, 221.37585028530},
{ 0.00000003801, 0.75135339336, 58.10682401090},
{ 0.00000003812, 3.23225846555, 479.28838891550},
{ 0.00000003656, 5.27986185627, 66.91729204110},
{ 0.00000003811, 4.92593102646, 125.98732389850},
{ 0.00000004172, 2.28697665136, 109.94568878850},
{ 0.00000003472, 2.95403921517, 74.66972398270},
{ 0.00000003501, 4.89811329155, 28.31117565130},
{ 0.00000004495, 4.15453337890, 344.70304530790},
{ 0.00000004258, 2.68419933901, 7.86430652620},
{ 0.00000003456, 0.02638325764, 140.00196957900},
{ 0.00000004181, 1.90641663083, 277.03499374140},
{ 0.00000003644, 5.32238666094, 408.43894361130},
{ 0.00000003205, 0.05087987138, 220.41264243880},
{ 0.00000003190, 1.48430670387, 128.95626931510},
{ 0.00000003901, 6.25926496244, 0.89377187730},
{ 0.00000003788, 0.03327505225, 152.74459087230},
{ 0.00000003200, 0.52009458683, 2.28762186040},
{ 0.00000003011, 1.93475294714, 80.19822453870},
{ 0.00000004054, 5.23320423468, 96.87299909510},
{ 0.00000003798, 4.97868021019, 36.64856292950},
{ 0.00000003895, 1.10480659598, 297.64192156090},
{ 0.00000003295, 4.80719384894, 422.66603761290},
{ 0.00000003192, 2.81905779664, 453.42489381900},
{ 0.00000002804, 6.19069392998, 135.54855145410},
{ 0.00000003469, 5.88266049174, 16.67477455640},
{ 0.00000002785, 1.35852942533, 404.50679034820},
{ 0.00000002892, 0.53676605577, 159.12442469020},
{ 0.00000003232, 1.54622440929, 23.57587323610},
{ 0.00000002958, 6.25751544465, 456.39383923560},
{ 0.00000002542, 1.85372598824, 490.33408917940},
{ 0.00000002547, 5.19766530615, 173.94221952280},
{ 0.00000003118, 6.10201148242, 142.44965013380},
{ 0.00000002762, 3.51066557656, 288.08069400530},
{ 0.00000002793, 3.90482859776, 358.93013930950},
{ 0.00000002958, 5.31404018803, 55.13787859430},
{ 0.00000002387, 1.31646029756, 211.81462272970},
{ 0.00000002413, 4.38647851761, 60.55450456570},
{ 0.00000002285, 2.31869038469, 31.49256938900},
{ 0.00000002366, 2.21968144549, 66.70484372000},
{ 0.00000002779, 4.72642945119, 186.21176006410},
{ 0.00000002270, 3.49350071105, 206.18554843720},
{ 0.00000002224, 0.41045917285, 81.37388070630},
{ 0.00000002196, 0.76298510234, 17.52610781830},
{ 0.00000002115, 3.58641580944, 333.65734504400},
{ 0.00000002575, 0.73175693995, 200.76892246580},
{ 0.00000002158, 2.61976125405, 13.33332212430},
{ 0.00000002041, 6.27470432139, 98.89998852460},
{ 0.00000002212, 2.36295359318, 347.88443904560},
{ 0.00000002183, 2.49004676830, 76.47851959670},
{ 0.00000002032, 1.67484911580, 235.39049596580},
{ 0.00000002226, 5.97327738150, 1514.29129671650},
{ 0.00000001858, 2.20139550864, 203.73786788240},
{ 0.00000002127, 2.52590780597, 373.90799283650},
{ 0.00000001865, 4.98207204280, 5.10780943070},
{ 0.00000001822, 2.44474441003, 55.65914345610},
{ 0.00000002037, 5.80360322726, 146.38180339690},
{ 0.00000001894, 4.32787921047, 49.50880430180},
{ 0.00000001841, 3.35082910127, 143.62530630140},
{ 0.00000001717, 3.95035994581, 24.11838995730},
{ 0.00000001684, 1.28092098597, 103.09277421860},
{ 0.00000002042, 5.48498644784, 373.01422095920},
{ 0.00000001720, 2.35857527806, 1.64453140270},
{ 0.00000001637, 2.99504798037, 391.17346822390},
{ 0.00000001605, 0.97423033751, 977.48678462110},
{ 0.00000001678, 4.97988460684, 387.24131496080},
{ 0.00000001520, 3.15010457259, 7.42236354150},
{ 0.00000001505, 2.89631333643, 19.64371997300},
{ 0.00000001574, 1.61508712335, 991.71387862270},
{ 0.00000001509, 3.32685682695, 909.81873305460},
{ 0.00000001674, 4.30506338212, 305.34616939270},
{ 0.00000001412, 4.53556726512, 81.89514556810},
{ 0.00000001375, 2.49046817916, 426.59819087600},
{ 0.00000001373, 5.75337637150, 19.12245511120},
{ 0.00000001340, 3.94224997586, 61.28821774860},
{ 0.00000001367, 4.39913585014, 27.08733537390},
{ 0.00000001385, 2.20171302118, 67.35923502580},
{ 0.00000001351, 4.36029315547, 70.11573212130},
{ 0.00000001304, 2.79975533399, 25.60286266560},
{ 0.00000001313, 3.73575380324, 628.85158605010},
{ 0.00000001338, 4.92441744235, 617.80588578620},
{ 0.00000001361, 0.72643457214, 546.95644048200},
{ 0.00000001273, 3.20493914871, 92.04707395470},
{ 0.00000001228, 5.92585113207, 415.55249061210},
{ 0.00000001242, 4.09549754457, 443.86366626340},
{ 0.00000001552, 5.05296247763, 10.29494073850},
{ 0.00000001210, 4.83276785889, 100.38446123290},
{ 0.00000001236, 4.30781434404, 67.88049988760},
{ 0.00000001173, 5.32389543861, 17.26547538740},
{ 0.00000001352, 3.55425818464, 230.56457082540},
{ 0.00000001437, 6.18417653960, 14.22709400160},
{ 0.00000001248, 0.16711396982, 29.20494752860},
{ 0.00000001169, 3.31424750673, 44.72531777680},
{ 0.00000001259, 1.88793196065, 0.65439130580},
{ 0.00000001311, 5.72020892609, 329.72519178090},
{ 0.00000001155, 2.04134400388, 30.71067209630},
{ 0.00000001101, 1.52350365110, 157.63995198190},
{ 0.00000001070, 2.89562175028, 543.02428721890},
{ 0.00000001121, 4.49662162318, 162.09337010680},
{ 0.00000001417, 2.04676765553, 181.75834193920},
{ 0.00000001258, 0.23621358146, 561.18353448360},
{ 0.00000001255, 1.26185998194, 155.78297225810},
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{ 0.00000000114, 2.38099208126, 10213.28554621100},
{ 0.00000000127, 2.38558048946, 842.15068148810},
{ 0.00000000131, 3.01936629873, 635.96513305090},
{ 0.00000000138, 0.44662144244, 838.96928775040},
{ 0.00000000129, 4.25513451348, 310.17209453310},
{ 0.00000000148, 0.41799256546, 594.91133610630},
{ 0.00000000149, 4.10330124264, 98.35747180340},
{ 0.00000000109, 2.88811868696, 42.06518890090},
{ 0.00000000109, 3.78134972711, 40.58071619260},
{ 0.00000000108, 2.55916728156, 199.28444975750},
{ 0.00000000125, 0.48048283452, 404.61866493280},
{ 0.00000000135, 2.87189439592, 167.72244439930},
{ 0.00000000118, 3.07682081692, 327.43756992050},
{ 0.00000000119, 5.78903264789, 260.36021918500},
{ 0.00000000111, 3.22737687538, 15.49911838880},
{ 0.00000000109, 6.27549146354, 73.13706716460},
{ 0.00000000109, 4.70945671248, 76.42612997000},
{ 0.00000000126, 2.80187501225, 639.89728631400},
{ 0.00000000105, 1.48616898015, 405.99126305650},
{ 0.00000000116, 4.85863853667, 1515.77576942480},
{ 0.00000000114, 2.76818793591, 291.70403072770},
{ 0.00000000107, 1.11766952208, 271.61836777000},
{ 0.00000000111, 2.87343319463, 410.13586464070},
{ 0.00000000111, 0.27810454195, 255.83736509090},
{ 0.00000000118, 5.07878372226, 679.25416222920},
{ 0.00000000099, 1.51676782588, 194.28851491140},
{ 0.00000000099, 1.03758417112, 703.63318461740},
{ 0.00000000130, 1.66666180289, 403.02231763990},
{ 0.00000000123, 6.11422629384, 365.00115658670},
{ 0.00000000104, 5.23997703346, 141.48644228730},
{ 0.00000000115, 6.23621039514, 214.78356814630},
{ 0.00000000096, 0.43424417561, 35.68535508300},
{ 0.00000000103, 1.06002930749, 76.37794586020},
{ 0.00000000104, 2.65595803065, 742.99006053260},
{ 0.00000000115, 5.22994397833, 511.53171782990},
{ 0.00000000094, 2.74704482453, 80.41067285980},
{ 0.00000000128, 0.77030466848, 806.72595883600},
{ 0.00000000110, 5.29132647687, 274.58731318660},
{ 0.00000000114, 2.57034943327, 69.15252427480},
{ 0.00000000095, 2.62834936080, 217.44369702220},
{ 0.00000000113, 0.31878741567, 228.79821382680},
{ 0.00000000094, 1.09024515607, 779.89925589300},
{ 0.00000000104, 1.63565182098, 1438.02522544090},
{ 0.00000000123, 0.31994708206, 205.22234059070},
{ 0.00000000089, 3.89481868438, 273.85360000370},
{ 0.00000000111, 5.23314925278, 115.88357962170},
{ 0.00000000090, 0.08059052014, 543.91805909620},
{ 0.00000000103, 1.50283068334, 316.39186965660},
{ 0.00000000114, 4.07327336627, 303.86169668440},
{ 0.00000000121, 2.40722327908, 89.00869256890},
{ 0.00000000085, 2.88976414563, 481.73606947030},
{ 0.00000000102, 3.36728076478, 731.94436026870},
{ 0.00000000095, 4.08252009963, 223.45102382460},
{ 0.00000000103, 1.17394061445, 30.59879751170},
{ 0.00000000082, 2.25221007280, 180.79513409270},
{ 0.00000000088, 3.62556128338, 73.18525127440},
{ 0.00000000106, 5.05420123147, 82.64590509350},
{ 0.00000000080, 6.02853833502, 343.21857259960},
{ 0.00000000086, 5.34618023172, 107.02492748170},
{ 0.00000000096, 1.56226891458, 768.85355562910},
{ 0.00000000090, 5.07169537551, 534.42626750980},
{ 0.00000000098, 4.92252492060, 582.38116313410},
{ 0.00000000101, 0.84796065157, 602.98809095360},
{ 0.00000000083, 1.65460715725, 753.14198891920},
{ 0.00000000078, 5.51638181769, 74.73341445750},
{ 0.00000000093, 5.84400145456, 774.48262992160},
{ 0.00000000089, 0.95563866426, 6.90109867970},
{ 0.00000000087, 4.41987284863, 552.58551477450},
{ 0.00000000103, 4.60346642754, 370.93904741990},
{ 0.00000000077, 4.77404419830, 242.50404296660},
{ 0.00000000075, 3.39192079177, 118.02244363580},
{ 0.00000000076, 1.05747326519, 79.88940799800},
{ 0.00000000079, 3.54181953824, 758.77106321170},
{ 0.00000000074, 3.98963783883, 301.41401612960},
{ 0.00000000078, 1.82705732908, 74.82978267710},
{ 0.00000000074, 1.08013205637, 107.91869935900},
{ 0.00000000074, 5.37621944193, 473.65931462300},
{ 0.00000000078, 2.52470639403, 103.98654609590},
{ 0.00000000073, 1.33099035143, 117.31986822020},
{ 0.00000000073, 3.86314726423, 47.69426319340},
{ 0.00000000079, 3.79190807969, 243.98851567490},
{ 0.00000000079, 1.85527149881, 495.96316347190},
{ 0.00000000083, 4.63377403454, 147.86627610520},
{ 0.00000000075, 3.25894652055, 195.77298761970},
{ 0.00000000083, 2.51263535489, 73.88782669000},
{ 0.00000000076, 0.65318077927, 6283.07584999140},
{ 0.00000000074, 2.98225723938, 77.06922042770},
{ 0.00000000095, 1.54407527959, 210.85141488320},
{ 0.00000000072, 5.49406740322, 74.62153987290},
{ 0.00000000083, 3.32264980311, 1366.21257229020},
{ 0.00000000074, 3.65696853700, 69.67378913660},
{ 0.00000000074, 3.23127044816, 208.84567731310},
{ 0.00000000080, 4.36056904242, 1662.96072197380},
{ 0.00000000073, 5.26531290370, 130.44074202340},
{ 0.00000000071, 4.81609825971, 321.12717207180},
{ 0.00000000076, 2.51848136880, 84.93352695390},
{ 0.00000000097, 2.40670778188, 75.67537044460},
{ 0.00000000078, 5.68434801179, 221.89711514710},
};
static const struct ln_vsop uranus_longitude_l2[LONG_L2] = {
{ 0.00002349469, 2.26708640433, 74.78159856730},
{ 0.00000848806, 3.14159265359, 0.00000000000},
{ 0.00000768983, 4.52562378749, 11.04570026390},
{ 0.00000551555, 3.25819322040, 63.73589830340},
{ 0.00000541559, 2.27572631399, 3.93215326310},
{ 0.00000529491, 4.92336172394, 1.48447270830},
{ 0.00000257527, 3.69060540044, 3.18139373770},
{ 0.00000182036, 6.21866555925, 70.84944530420},
{ 0.00000184429, 5.05954505833, 149.56319713460},
{ 0.00000049505, 6.03085160423, 56.62235130260},
{ 0.00000053456, 1.45801353517, 76.26607127560},
{ 0.00000038334, 1.78433163102, 52.69019803950},
{ 0.00000044885, 3.90644983662, 2.44768055480},
{ 0.00000044623, 0.81232539761, 85.82729883120},
{ 0.00000037373, 4.46132739805, 2.96894541660},
{ 0.00000033044, 0.86461989031, 9.56122755560},
{ 0.00000024305, 2.10670976428, 18.15924726470},
{ 0.00000029250, 5.09724793503, 73.29712585900},
{ 0.00000022309, 4.81978108793, 78.71375183040},
{ 0.00000022283, 5.99230347559, 138.51749687070},
{ 0.00000017230, 2.53731197138, 145.63104387150},
{ 0.00000021416, 2.39692592406, 77.96299230500},
{ 0.00000015114, 1.43013979998, 224.34479570190},
{ 0.00000016756, 3.46508324378, 12.53017297220},
{ 0.00000012003, 0.01666017885, 22.09140052780},
{ 0.00000010497, 4.47250656935, 62.25142559510},
{ 0.00000010943, 0.08477481315, 127.47179660680},
{ 0.00000008683, 4.25475342937, 7.11354700080},
{ 0.00000010478, 5.16510093405, 71.60020482960},
{ 0.00000007208, 1.25579094145, 5.41662597140},
{ 0.00000008383, 5.49939298653, 67.66805156650},
{ 0.00000006079, 5.44023447414, 65.22037101170},
{ 0.00000005718, 1.83543074459, 202.25339517410},
{ 0.00000006109, 3.36329480272, 447.79581952650},
{ 0.00000006002, 5.72509014963, 462.02291352810},
{ 0.00000005684, 4.14533132422, 151.04766984290},
{ 0.00000005091, 3.52369031374, 59.80374504030},
{ 0.00000005147, 1.05915315998, 131.40394986990},
{ 0.00000004917, 3.38475371297, 4.45341812490},
{ 0.00000004818, 1.20436413021, 71.81265315070},
{ 0.00000004697, 6.13059120042, 148.07872442630},
{ 0.00000003950, 0.69544777458, 77.75054398390},
{ 0.00000003655, 1.75283968054, 351.81659230870},
{ 0.00000003144, 3.30914690507, 160.60889739850},
{ 0.00000003170, 6.13784634729, 77.22927912210},
{ 0.00000003149, 3.83524373649, 45.57665103870},
{ 0.00000003616, 4.56973348262, 454.90936652730},
{ 0.00000002673, 1.05631111199, 69.36497259590},
{ 0.00000002660, 5.35501232753, 269.92144674060},
{ 0.00000002315, 2.61423820966, 84.34282612290},
{ 0.00000002258, 5.07517615514, 14.97785352700},
{ 0.00000002249, 1.37812609668, 284.14854074220},
{ 0.00000002072, 4.34966778360, 984.60033162190},
{ 0.00000002101, 2.31175293338, 120.35824960600},
{ 0.00000001808, 0.52249831108, 137.03302416240},
{ 0.00000001849, 5.69618054054, 54.17467074780},
{ 0.00000001983, 3.87043200848, 195.13984817330},
{ 0.00000001632, 5.07069503204, 209.36694217490},
{ 0.00000001578, 2.91229378751, 51.20572533120},
{ 0.00000001722, 6.25913624391, 41.64449777560},
{ 0.00000001656, 6.26113629911, 277.03499374140},
{ 0.00000001822, 1.24304611018, 35.16409022120},
{ 0.00000001345, 2.04057300383, 70.32818044240},
{ 0.00000001253, 2.65486278486, 134.58534360760},
{ 0.00000001239, 4.63255501972, 92.94084583200},
{ 0.00000001369, 6.08201469405, 87.31177153950},
{ 0.00000001277, 5.87454788183, 60.55450456570},
{ 0.00000001281, 2.51504858314, 72.33391801250},
{ 0.00000001250, 1.09008933023, 213.29909543800},
{ 0.00000001055, 4.00338488062, 299.12639426920},
{ 0.00000001133, 4.64929170681, 152.74459087230},
{ 0.00000001082, 1.07336611951, 153.49535039770},
{ 0.00000001037, 4.82158521698, 116.42609634290},
{ 0.00000000863, 3.56774115747, 340.77089204480},
{ 0.00000000957, 2.11521253777, 20.60692781950},
{ 0.00000000952, 2.47170644510, 380.12776796000},
{ 0.00000000836, 6.12347738126, 49.50880430180},
{ 0.00000000808, 0.29677438017, 191.20769491020},
{ 0.00000000808, 4.08162792952, 14.22709400160},
{ 0.00000000792, 6.17091063120, 344.70304530790},
{ 0.00000000791, 2.37030711541, 58.10682401090},
{ 0.00000000914, 2.11419968166, 14.01464568050},
{ 0.00000000788, 0.75228496417, 408.43894361130},
{ 0.00000000763, 2.38121244677, 222.86032299360},
{ 0.00000000891, 2.04340711828, 265.98929347750},
{ 0.00000000730, 3.10064098912, 422.66603761290},
{ 0.00000000765, 0.77723827220, 76.47851959670},
{ 0.00000000645, 2.77108845143, 96.87299909510},
{ 0.00000000745, 2.35633194869, 358.93013930950},
{ 0.00000000620, 1.98188971784, 33.67961751290},
{ 0.00000000655, 3.85415850280, 16.67477455640},
{ 0.00000000608, 0.15790159997, 28.31117565130},
{ 0.00000000587, 1.09637968292, 55.13787859430},
{ 0.00000000617, 1.70137701054, 8.07675484730},
{ 0.00000000645, 5.17890892522, 23.57587323610},
{ 0.00000000589, 3.39293635432, 144.14657116320},
{ 0.00000000598, 3.77279530334, 80.19822453870},
{ 0.00000000562, 4.90624120147, 35.42472265210},
{ 0.00000000587, 4.33026772564, 29.20494752860},
{ 0.00000000474, 0.88680405794, 565.11568774670},
{ 0.00000000477, 3.44956358856, 128.95626931510},
{ 0.00000000432, 1.05836005695, 19.64371997300},
{ 0.00000000480, 5.27492573341, 206.18554843720},
{ 0.00000000454, 6.05565972578, 70.11573212130},
{ 0.00000000413, 0.42595505653, 225.82926841020},
{ 0.00000000458, 5.47151191138, 333.65734504400},
{ 0.00000000528, 2.27025758420, 38.13303563780},
{ 0.00000000447, 0.91893151458, 373.01422095920},
{ 0.00000000511, 1.59897693264, 142.44965013380},
{ 0.00000000420, 5.77293204332, 146.59425171800},
{ 0.00000000383, 1.91679738697, 5.62907429250},
{ 0.00000000382, 3.04339660220, 152.53214255120},
{ 0.00000000418, 1.05236603665, 125.98732389850},
{ 0.00000000372, 2.85710020233, 200.76892246580},
{ 0.00000000496, 1.92980650193, 415.55249061210},
{ 0.00000000370, 3.22212427220, 387.24131496080},
{ 0.00000000387, 2.79134085638, 81.89514556810},
{ 0.00000000357, 4.64158965749, 220.41264243880},
{ 0.00000000345, 2.98021540638, 429.77958461370},
{ 0.00000000335, 5.29062985955, 13.33332212430},
{ 0.00000000320, 1.62674909598, 99.16062095550},
{ 0.00000000320, 0.74685145174, 347.88443904560},
{ 0.00000000288, 2.44437048636, 546.95644048200},
{ 0.00000000275, 0.62680026669, 31.49256938900},
{ 0.00000000281, 6.04447663913, 456.39383923560},
{ 0.00000000270, 2.79378345550, 977.48678462110},
{ 0.00000000268, 4.64955164739, 230.56457082540},
{ 0.00000000271, 0.59225635449, 1894.41906467650},
{ 0.00000000263, 3.49309481771, 440.68227252570},
{ 0.00000000253, 1.90016027905, 129.91947716160},
{ 0.00000000271, 4.82853730065, 561.18353448360},
{ 0.00000000259, 0.27190856999, 373.90799283650},
{ 0.00000000314, 1.47136601206, 24.37902238820},
{ 0.00000000261, 0.09830739366, 991.71387862270},
{ 0.00000000235, 5.13968661425, 479.28838891550},
{ 0.00000000231, 1.38106363280, 391.17346822390},
{ 0.00000000230, 4.81251240097, 159.12442469020},
{ 0.00000000305, 4.45518458920, 112.91463420510},
{ 0.00000000311, 4.82238770299, 108.46121608020},
{ 0.00000000233, 4.25631985431, 365.90067395840},
{ 0.00000000261, 1.59315260466, 17.26547538740},
{ 0.00000000233, 2.83623217386, 376.19561469690},
{ 0.00000000294, 1.66582514618, 124.29040286910},
{ 0.00000000213, 1.07884329091, 288.08069400530},
{ 0.00000000207, 5.03566431809, 297.64192156090},
{ 0.00000000201, 1.68940522081, 135.54855145410},
{ 0.00000000231, 2.24878224928, 152.01087768940},
{ 0.00000000216, 6.19661665314, 490.33408917940},
{ 0.00000000236, 4.93084016804, 458.09076026500},
{ 0.00000000225, 0.22664678208, 254.94359321360},
{ 0.00000000213, 0.12942394964, 411.62033734900},
{ 0.00000000193, 3.70727194044, 353.30106501700},
{ 0.00000000214, 2.37863059014, 184.09414790940},
{ 0.00000000211, 2.16158427984, 162.09337010680},
{ 0.00000000208, 3.81481624262, 258.87574647670},
{ 0.00000000188, 0.23642242835, 74.89347315190},
{ 0.00000000229, 5.33297149225, 827.17282796110},
{ 0.00000000196, 3.41624470471, 173.94221952280},
{ 0.00000000186, 1.25407717254, 74.66972398270},
{ 0.00000000219, 1.22774377372, 305.34616939270},
{ 0.00000000184, 0.07653324668, 969.62247809490},
{ 0.00000000181, 5.50268986350, 983.11585891360},
{ 0.00000000234, 1.43222813448, 146.38180339690},
{ 0.00000000191, 4.02315888568, 774.48262992160},
{ 0.00000000176, 0.36587651982, 100.38446123290},
{ 0.00000000174, 0.35464783229, 354.99798604640},
{ 0.00000000174, 2.81203626850, 140.00196957900},
{ 0.00000000201, 1.04955848325, 316.39186965660},
{ 0.00000000172, 0.67782414229, 167.72244439930},
{ 0.00000000175, 5.90738517293, 235.39049596580},
{ 0.00000000171, 1.90443657327, 33.13710079170},
{ 0.00000000174, 5.60867787733, 469.13646052890},
{ 0.00000000179, 2.38892600195, 486.40193591630},
{ 0.00000000171, 1.27067391131, 291.26208774300},
{ 0.00000000175, 3.15884013286, 66.91729204110},
{ 0.00000000209, 5.78799629527, 111.43016149680},
{ 0.00000000171, 5.43315629209, 42.53826965290},
{ 0.00000000203, 1.58369655553, 298.23262239190},
{ 0.00000000166, 4.78948867256, 1514.29129671650},
{ 0.00000000174, 0.56063488876, 521.09294538550},
{ 0.00000000205, 3.48282420941, 404.50679034820},
{ 0.00000000171, 2.91325849153, 535.32003938710},
{ 0.00000000177, 0.86306620537, 472.17484191470},
{ 0.00000000184, 2.92293138603, 881.50755740330},
{ 0.00000000166, 4.78927133151, 109.94568878850},
{ 0.00000000188, 0.57920908215, 369.08206769610},
{ 0.00000000155, 1.28199332469, 89.75945209430},
{ 0.00000000156, 2.77376676007, 141.69889060840},
{ 0.00000000163, 6.18149717003, 1357.61455258110},
{ 0.00000000154, 6.13255592810, 218.92816973050},
{ 0.00000000151, 2.69773648190, 132.88842257820},
{ 0.00000000164, 5.23606804941, 1094.80665284130},
{ 0.00000000157, 3.34238375767, 268.43697403230},
{ 0.00000000169, 1.82777920099, 398.28701522470},
{ 0.00000000178, 3.45386061878, 685.47393735270},
{ 0.00000000148, 2.98873276090, 211.81462272970},
{ 0.00000000155, 1.72159478356, 679.25416222920},
{ 0.00000000148, 0.95649146876, 867.28046340170},
{ 0.00000000191, 3.62538073529, 554.06998748280},
{ 0.00000000178, 2.10923963877, 661.09491496450},
{ 0.00000000135, 6.06368720482, 980.66817835880},
{ 0.00000000135, 5.96857483510, 91.45637312370},
{ 0.00000000130, 4.36914393286, 273.10284047830},
{ 0.00000000153, 3.49640803991, 228.27694896500},
{ 0.00000000130, 2.72570287614, 522.57741809380},
{ 0.00000000143, 5.02900860888, 536.80451209540},
{ 0.00000000126, 1.93883254906, 909.81873305460},
{ 0.00000000127, 1.78014700856, 205.43478891180},
{ 0.00000000140, 0.83038018169, 535.91074021810},
{ 0.00000000127, 5.06009501625, 275.55052103310},
{ 0.00000000129, 3.77988686343, 483.22054217860},
{ 0.00000000118, 5.83292150811, 703.63318461740},
{ 0.00000000130, 4.52188865601, 216.48048917570},
{ 0.00000000117, 3.97236048113, 135.33610313300},
{ 0.00000000110, 4.10507371008, 433.71173787680},
{ 0.00000000113, 1.51901732866, 384.05992122310},
{ 0.00000000107, 0.99334138425, 295.19424100610},
{ 0.00000000131, 3.98415139373, 73.08467753790},
{ 0.00000000108, 4.07981007546, 203.73786788240},
{ 0.00000000109, 3.04776608048, 300.61086697750},
{ 0.00000000109, 1.22958797958, 525.75881183150},
{ 0.00000000131, 2.99178036398, 75.74480641380},
{ 0.00000000103, 4.46390192594, 579.34278174830},
{ 0.00000000109, 1.99182565930, 60.76695288680},
{ 0.00000000121, 0.73822914508, 248.72381809010},
{ 0.00000000106, 2.04571727537, 2043.98226181110},
{ 0.00000000102, 4.88960169615, 831.10498122420},
{ 0.00000000099, 3.81282044986, 73.81839072080},
{ 0.00000000094, 5.78362714209, 350.33211960040},
{ 0.00000000114, 2.09397520178, 278.51946644970},
{ 0.00000000089, 5.90655259674, 79.23501669220},
{ 0.00000000097, 2.67425330058, 221.37585028530},
{ 0.00000000089, 6.25528198072, 234.49672408850},
{ 0.00000000085, 0.13307608646, 639.89728631400},
{ 0.00000000090, 5.53000751155, 827.92358748650},
{ 0.00000000080, 5.34711145866, 181.05576652360},
{ 0.00000000079, 0.95205771963, 426.59819087600},
{ 0.00000000084, 3.97140652554, 336.83873878170},
{ 0.00000000080, 5.24056087129, 504.56118318100},
{ 0.00000000078, 2.26526379571, 450.97721326420},
{ 0.00000000081, 1.32480509617, 89.00869256890},
{ 0.00000000108, 1.50473495412, 25.27279426550},
{ 0.00000000077, 0.31815291828, 447.20511869550},
{ 0.00000000081, 4.64364910706, 1208.05135544650},
{ 0.00000000077, 5.90631938483, 515.46387109300},
{ 0.00000000095, 5.82143764459, 453.42489381900},
{ 0.00000000077, 3.56359211434, 82.85835341460},
{ 0.00000000093, 0.38301745790, 699.70103135430},
{ 0.00000000076, 4.16820366863, 95.38852638680},
{ 0.00000000076, 1.49535232496, 849.26422848890},
{ 0.00000000099, 2.79074529357, 184.72728735580},
{ 0.00000000076, 6.13770068285, 123.53964334370},
{ 0.00000000104, 6.25653942640, 443.86366626340},
{ 0.00000000073, 3.57936315445, 180.16199464630},
{ 0.00000000083, 1.56888177127, 306.83064210100},
{ 0.00000000087, 0.74135830037, 227.52618943960},
{ 0.00000000079, 1.91762400825, 901.95442652840},
{ 0.00000000089, 3.64708770174, 810.65811209910},
{ 0.00000000084, 1.50560186863, 419.48464387520},
};
static const struct ln_vsop uranus_longitude_l3[LONG_L3] = {
{ 0.00000122192, 0.02112102225, 74.78159856730},
{ 0.00000068195, 4.12138633187, 3.93215326310},
{ 0.00000052729, 2.38808499397, 11.04570026390},
{ 0.00000043714, 2.95937380925, 1.48447270830},
{ 0.00000045405, 2.04405402149, 3.18139373770},
{ 0.00000024903, 4.88680075600, 63.73589830340},
{ 0.00000021004, 4.54879176205, 70.84944530420},
{ 0.00000008985, 1.58255257968, 56.62235130260},
{ 0.00000009158, 2.57000447334, 149.56319713460},
{ 0.00000010361, 0.00000000000, 0.00000000000},
{ 0.00000004261, 0.22780215466, 18.15924726470},
{ 0.00000003625, 5.38367304590, 76.26607127560},
{ 0.00000003244, 5.01058611704, 85.82729883120},
{ 0.00000003488, 4.13160885916, 52.69019803950},
{ 0.00000003570, 0.94065081296, 77.96299230500},
{ 0.00000002738, 0.40346535540, 78.71375183040},
{ 0.00000002233, 0.87157987676, 145.63104387150},
{ 0.00000001948, 2.67957461817, 7.11354700080},
{ 0.00000002120, 5.64073933192, 9.56122755560},
{ 0.00000001566, 5.46300116637, 73.29712585900},
{ 0.00000001308, 1.25835033636, 12.53017297220},
{ 0.00000001616, 0.49324165265, 71.60020482960},
{ 0.00000001230, 3.93093451148, 22.09140052780},
{ 0.00000000906, 2.17573166732, 127.47179660680},
{ 0.00000000811, 5.08300105756, 447.79581952650},
{ 0.00000000800, 4.00214562488, 462.02291352810},
{ 0.00000000718, 0.34600103024, 5.62907429250},
{ 0.00000000718, 1.19635899416, 138.51749687070},
{ 0.00000000680, 2.94444506110, 131.40394986990},
{ 0.00000000581, 5.14726797687, 224.34479570190},
{ 0.00000000406, 4.33376335103, 120.35824960600},
{ 0.00000000376, 0.75784834422, 269.92144674060},
{ 0.00000000347, 5.94165731686, 284.14854074220},
{ 0.00000000345, 3.05968942771, 561.18353448360},
{ 0.00000000343, 4.01891371998, 546.95644048200},
{ 0.00000000376, 5.95844060660, 45.57665103870},
{ 0.00000000334, 1.61761448243, 151.04766984290},
{ 0.00000000284, 1.12863896480, 134.58534360760},
{ 0.00000000278, 3.43135401420, 202.25339517410},
{ 0.00000000374, 3.31569280991, 152.74459087230},
{ 0.00000000268, 3.24741531524, 536.80451209540},
{ 0.00000000358, 1.10916640253, 333.65734504400},
{ 0.00000000355, 2.95198893484, 153.49535039770},
{ 0.00000000236, 4.64852235589, 387.24131496080},
{ 0.00000000223, 5.11416165165, 347.88443904560},
{ 0.00000000245, 5.19436628400, 81.89514556810},
{ 0.00000000228, 3.74138931830, 87.31177153950},
{ 0.00000000226, 4.29682981394, 77.75054398390},
{ 0.00000000234, 5.80540756495, 67.66805156650},
{ 0.00000000288, 5.72707827196, 195.13984817330},
{ 0.00000000201, 1.74602592032, 213.29909543800},
{ 0.00000000204, 5.81145810966, 373.01422095920},
{ 0.00000000187, 2.35512484122, 124.29040286910},
{ 0.00000000185, 3.12619552579, 148.07872442630},
{ 0.00000000170, 1.91718323832, 59.80374504030},
{ 0.00000000165, 3.46463258943, 209.36694217490},
{ 0.00000000171, 6.12119673115, 351.81659230870},
{ 0.00000000191, 5.50650694321, 73.08467753790},
{ 0.00000000154, 2.74592153459, 92.94084583200},
{ 0.00000000187, 2.88710400041, 146.38180339690},
{ 0.00000000142, 3.34786225013, 72.33391801250},
{ 0.00000000130, 1.06884333081, 84.34282612290},
{ 0.00000000156, 1.27379656026, 160.60889739850},
{ 0.00000000112, 2.52374006072, 62.25142559510},
{ 0.00000000096, 2.43808447701, 288.08069400530},
{ 0.00000000104, 4.80942792304, 144.14657116320},
{ 0.00000000090, 4.64083951502, 411.62033734900},
{ 0.00000000080, 3.36996054975, 497.44763618020},
{ 0.00000000085, 2.90593266919, 483.22054217860},
};
static const struct ln_vsop uranus_longitude_l4[LONG_L4] = {
{ 0.00000005536, 4.57721551627, 74.78159856730},
{ 0.00000003183, 0.34467460171, 11.04570026390},
{ 0.00000001207, 3.40871377105, 56.62235130260},
{ 0.00000000634, 4.65445189526, 18.15924726470},
{ 0.00000000359, 0.67024156853, 149.56319713460},
{ 0.00000000247, 2.07784257495, 63.73589830340},
{ 0.00000000109, 2.75514337970, 85.82729883120},
{ 0.00000000092, 5.02598538441, 131.40394986990},
};
static const struct ln_vsop uranus_latitude_b0[LAT_B0] = {
{ 0.01346277648, 2.61877810547, 74.78159856730},
{ 0.00062341400, 5.08111189648, 149.56319713460},
{ 0.00061601196, 3.14159265359, 0.00000000000},
{ 0.00009963722, 1.61603805646, 76.26607127560},
{ 0.00009926160, 0.57630380333, 73.29712585900},
{ 0.00003259466, 1.26119342526, 224.34479570190},
{ 0.00002972303, 2.24367206357, 1.48447270830},
{ 0.00002010275, 6.05550884547, 148.07872442630},
{ 0.00001522163, 0.27959645002, 63.73589830340},
{ 0.00000924064, 4.03822512696, 151.04766984290},
{ 0.00000760640, 6.13999362624, 71.81265315070},
{ 0.00000420265, 5.21280055515, 11.04570026390},
{ 0.00000430661, 3.55443947716, 213.29909543800},
{ 0.00000436847, 3.38081057022, 529.69096509460},
{ 0.00000522314, 3.32086440954, 138.51749687070},
{ 0.00000434627, 0.34063199763, 77.75054398390},
{ 0.00000462630, 0.74256687606, 85.82729883120},
{ 0.00000232667, 2.25715668168, 222.86032299360},
{ 0.00000215848, 1.59122810633, 38.13303563780},
{ 0.00000244698, 0.78795174100, 2.96894541660},
{ 0.00000179936, 3.72487768728, 299.12639426920},
{ 0.00000174896, 1.23550822483, 146.59425171800},
{ 0.00000173648, 1.93654971482, 380.12776796000},
{ 0.00000160368, 5.33635511113, 111.43016149680},
{ 0.00000144064, 5.96238846558, 35.16409022120},
{ 0.00000102049, 2.61876132065, 78.71375183040},
{ 0.00000116363, 5.73877137488, 70.84944530420},
{ 0.00000106444, 0.94095705978, 70.32818044240},
{ 0.00000086160, 0.70251751041, 39.61750834610},
{ 0.00000072611, 0.20572158900, 225.82926841020},
{ 0.00000071172, 0.83343109173, 109.94568878850},
{ 0.00000057495, 2.67048156941, 108.46121608020},
{ 0.00000054263, 3.35177461012, 184.72728735580},
{ 0.00000044471, 2.74407889623, 152.53214255120},
{ 0.00000038592, 5.17390531140, 202.25339517410},
{ 0.00000039159, 2.17111197275, 351.81659230870},
{ 0.00000041362, 3.22138743484, 160.60889739850},
{ 0.00000035132, 4.00123533788, 112.91463420510},
{ 0.00000033091, 3.61372505020, 221.37585028530},
{ 0.00000031332, 2.71938965609, 145.10977900970},
{ 0.00000037340, 4.02083944240, 52.69019803950},
{ 0.00000032034, 1.29143160665, 145.63104387150},
{ 0.00000027569, 3.70085992486, 36.64856292950},
{ 0.00000024272, 2.85050776068, 127.47179660680},
{ 0.00000024635, 1.11646359832, 3.93215326310},
{ 0.00000024309, 5.48949970007, 79.23501669220},
{ 0.00000021418, 0.63723215666, 277.03499374140},
{ 0.00000019832, 2.59336449599, 84.34282612290},
{ 0.00000022368, 5.73729035268, 4.45341812490},
{ 0.00000019125, 1.30093692086, 62.25142559510},
{ 0.00000019796, 4.72268731719, 297.64192156090},
{ 0.00000020298, 1.06069563441, 454.90936652730},
{ 0.00000019769, 5.77906677614, 305.34616939270},
{ 0.00000021357, 1.01279253027, 33.67961751290},
{ 0.00000015136, 2.91791848257, 426.59819087600},
{ 0.00000016010, 1.95529008632, 186.21176006410},
{ 0.00000013804, 2.67173362271, 74.66972398270},
{ 0.00000011468, 5.73303165530, 41.10198105440},
{ 0.00000010741, 3.73406242289, 1059.38193018920},
{ 0.00000011468, 3.98150176278, 106.97674337190},
{ 0.00000010365, 4.75684964951, 183.24281464750},
{ 0.00000010232, 6.18772944512, 373.90799283650},
{ 0.00000013803, 5.70721417446, 74.89347315190},
{ 0.00000010563, 3.78630189172, 490.33408917940},
{ 0.00000011838, 5.96756141943, 87.31177153950},
{ 0.00000010033, 1.74884568436, 22.09140052780},
{ 0.00000010107, 0.92920871591, 65.22037101170},
{ 0.00000009126, 5.11087748378, 153.49535039770},
{ 0.00000012093, 2.53736478942, 9.56122755560},
{ 0.00000008645, 4.18353789478, 12.53017297220},
{ 0.00000009969, 5.83607933801, 604.47256366190},
{ 0.00000011363, 2.12628390559, 68.84370773410},
{ 0.00000008481, 3.37168822431, 72.33391801250},
{ 0.00000007790, 5.11802896670, 77.96299230500},
{ 0.00000008306, 5.19333619113, 77.22927912210},
{ 0.00000007701, 3.25277033035, 71.60020482960},
{ 0.00000007521, 2.98280931167, 114.39910691340},
{ 0.00000006948, 3.31879527596, 56.62235130260},
{ 0.00000006500, 0.88498775188, 288.08069400530},
{ 0.00000006393, 3.51141825287, 220.41264243880},
{ 0.00000006208, 0.58088443555, 340.77089204480},
{ 0.00000006772, 4.09371704059, 137.03302416240},
{ 0.00000005595, 5.68796827406, 259.50888592310},
{ 0.00000005301, 2.65424478534, 300.61086697750},
{ 0.00000004950, 4.99680523609, 219.89137757700},
{ 0.00000006424, 0.44994761517, 140.00196957900},
{ 0.00000004972, 4.06861003746, 143.62530630140},
{ 0.00000005694, 3.76750788366, 67.66805156650},
{ 0.00000004853, 2.03388920337, 415.55249061210},
{ 0.00000003803, 1.26170663854, 75.30286342910},
{ 0.00000003807, 2.24781903960, 909.81873305460},
{ 0.00000003813, 3.10466777490, 181.75834193920},
{ 0.00000003780, 5.19959127344, 227.31374111850},
{ 0.00000003426, 5.91911283488, 296.15744885260},
{ 0.00000003517, 5.44401451357, 628.85158605010},
{ 0.00000003943, 4.95109205340, 265.98929347750},
{ 0.00000003472, 0.34748263417, 131.40394986990},
{ 0.00000003400, 0.53685880010, 206.18554843720},
{ 0.00000003039, 4.68312649973, 159.12442469020},
{ 0.00000003189, 5.68771037501, 235.39049596580},
{ 0.00000003303, 2.09359478408, 73.81839072080},
{ 0.00000003062, 4.48989306244, 66.70484372000},
{ 0.00000003265, 0.01005829991, 75.74480641380},
{ 0.00000002917, 4.21626758697, 258.02441321480},
{ 0.00000003747, 0.82998936434, 74.26033370550},
{ 0.00000002818, 3.96515762579, 82.85835341460},
{ 0.00000002474, 3.81322641071, 7.11354700080},
{ 0.00000002394, 2.21473666039, 54.17467074780},
{ 0.00000002546, 2.97069404242, 378.64329525170},
{ 0.00000002632, 1.55152764206, 154.01661525950},
{ 0.00000002639, 2.28085213767, 32.19514480460},
{ 0.00000002642, 3.96819246977, 381.61224066830},
{ 0.00000002203, 3.06747152218, 59.80374504030},
{ 0.00000002635, 0.54046453944, 211.81462272970},
{ 0.00000002053, 1.98285180962, 18.15924726470},
{ 0.00000002516, 0.63537765744, 187.69623277240},
{ 0.00000002485, 3.55942732547, 96.87299909510},
{ 0.00000001918, 1.60479578730, 80.19822453870},
{ 0.00000002055, 4.49938733826, 5.93789083320},
{ 0.00000002018, 2.97794616041, 191.20769491020},
{ 0.00000001832, 1.96177252651, 81.89514556810},
{ 0.00000001719, 2.22518862087, 479.28838891550},
{ 0.00000001857, 1.66299721979, 984.60033162190},
{ 0.00000001726, 3.22144940779, 218.40690486870},
{ 0.00000001770, 5.24609773415, 105.49227066360},
{ 0.00000001520, 0.94716593371, 372.42352012820},
{ 0.00000001512, 6.03457842275, 99.16062095550},
{ 0.00000001614, 3.39986737271, 230.56457082540},
{ 0.00000001711, 3.44232483680, 522.57741809380},
{ 0.00000001504, 1.34653259405, 74.52096613640},
{ 0.00000001584, 4.37196518404, 80.71948940050},
{ 0.00000001360, 5.48691240270, 74.82978267710},
{ 0.00000001405, 0.33792710499, 142.44965013380},
{ 0.00000001363, 4.56068902351, 42.58645376270},
{ 0.00000001709, 3.63180456542, 554.06998748280},
{ 0.00000001360, 2.89305157919, 74.73341445750},
{ 0.00000001260, 5.50922979275, 74.94165726170},
{ 0.00000001384, 4.40028240227, 260.99335863140},
{ 0.00000001365, 2.15266243195, 162.09337010680},
{ 0.00000001244, 4.97782030325, 149.45132255000},
{ 0.00000001278, 0.84565446273, 767.36908292080},
{ 0.00000001263, 4.53422211084, 294.67297614430},
{ 0.00000001322, 5.10927435201, 51.20572533120},
{ 0.00000001180, 0.79757360842, 116.42609634290},
{ 0.00000001495, 0.74986873597, 75.04223099820},
{ 0.00000001213, 3.66821217363, 20.60692781950},
{ 0.00000001248, 3.13317666641, 67.35923502580},
{ 0.00000001171, 4.39747177706, 180.27386923090},
{ 0.00000001125, 3.86202201629, 39.35687591520},
{ 0.00000001263, 2.87116663203, 74.62153987290},
{ 0.00000001376, 3.75596842702, 92.94084583200},
{ 0.00000001018, 6.20402800983, 835.03713448730},
{ 0.00000000962, 3.30346641752, 255.05546779820},
{ 0.00000001239, 1.73040337356, 149.67507171920},
{ 0.00000000970, 1.71235586924, 115.88357962170},
{ 0.00000000943, 3.07319537857, 8.07675484730},
{ 0.00000001000, 5.49989514567, 256.53994050650},
{ 0.00000000911, 6.23756163651, 200.76892246580},
{ 0.00000000908, 0.00832674265, 536.80451209540},
{ 0.00000000969, 5.77575675230, 128.95626931510},
{ 0.00000000952, 3.00463012001, 14.97785352700},
{ 0.00000000983, 0.35101173825, 404.50679034820},
{ 0.00000000808, 3.21398175104, 28.31117565130},
{ 0.00000000764, 3.45466431894, 214.78356814630},
{ 0.00000001021, 1.79907610488, 3.18139373770},
{ 0.00000000783, 4.12167749880, 125.98732389850},
{ 0.00000000715, 5.80380056776, 157.63995198190},
{ 0.00000000689, 1.84739011152, 41.64449777560},
{ 0.00000000715, 5.56310287629, 146.38180339690},
{ 0.00000000682, 5.16479782395, 74.03083904190},
{ 0.00000000673, 2.65544175682, 75.53235809270},
{ 0.00000000696, 3.59376281929, 362.86229257260},
{ 0.00000000715, 4.76877987059, 331.32153907380},
{ 0.00000000729, 2.25493921872, 453.42489381900},
{ 0.00000000648, 1.99137116455, 639.89728631400},
{ 0.00000000641, 5.77409064831, 110.20632121940},
{ 0.00000000666, 5.97888465085, 135.54855145410},
{ 0.00000000774, 0.42035537394, 565.11568774670},
{ 0.00000000674, 5.32913501430, 142.14083359310},
{ 0.00000000776, 5.57009796152, 2.44768055480},
{ 0.00000000798, 0.90966507165, 152.01087768940},
{ 0.00000000680, 2.94896042701, 60.76695288680},
{ 0.00000000603, 2.04208151880, 195.13984817330},
{ 0.00000000650, 4.56287025940, 216.92243216040},
{ 0.00000000738, 5.07239490532, 89.75945209430},
{ 0.00000000597, 1.91415368214, 203.73786788240},
{ 0.00000000646, 2.79255070924, 50.40257617910},
{ 0.00000000557, 2.91795392350, 68.18931642830},
{ 0.00000000565, 2.77660876182, 14.01464568050},
{ 0.00000000531, 3.75443696232, 617.80588578620},
{ 0.00000000530, 3.51481429918, 291.70403072770},
{ 0.00000000506, 4.94596553031, 81.37388070630},
{ 0.00000000602, 2.45288547587, 81.00137369080},
{ 0.00000000596, 5.42429198496, 692.58748435350},
{ 0.00000000648, 5.74877765820, 141.48644228730},
{ 0.00000000523, 4.97086637939, 387.24131496080},
{ 0.00000000544, 2.99910796114, 152.74459087230},
{ 0.00000000485, 2.36315064516, 448.68959140380},
{ 0.00000000481, 5.81665495660, 134.58534360760},
{ 0.00000000470, 1.30174846020, 228.27694896500},
{ 0.00000000475, 0.53495528828, 303.86169668440},
{ 0.00000000584, 4.67866565270, 88.79624424780},
{ 0.00000000461, 0.55903469027, 23.57587323610},
{ 0.00000000478, 6.22340588748, 5.41662597140},
{ 0.00000000426, 5.25039648756, 35.42472265210},
{ 0.00000000446, 2.50203892379, 905.88657979150},
{ 0.00000000441, 4.26182840333, 278.51946644970},
{ 0.00000000501, 4.79995214429, 306.83064210100},
{ 0.00000000499, 5.86243513978, 293.18850343600},
{ 0.00000000474, 3.03117647100, 286.59622129700},
{ 0.00000000506, 2.05350887377, 373.01422095920},
{ 0.00000000410, 5.30618889138, 95.38852638680},
{ 0.00000000395, 5.65591153137, 284.14854074220},
{ 0.00000000478, 2.41099809344, 358.93013930950},
{ 0.00000000536, 1.82605088834, 114.13847448250},
{ 0.00000000383, 5.54529609922, 419.48464387520},
{ 0.00000000413, 0.03790517946, 103.09277421860},
{ 0.00000000368, 4.08523828488, 1589.07289528380},
{ 0.00000000370, 1.82531607739, 334.29048449040},
{ 0.00000000387, 0.56619512225, 602.98809095360},
{ 0.00000000482, 5.58482619841, 68.56182344380},
{ 0.00000000478, 0.17223161797, 120.35824960600},
{ 0.00000000419, 5.07107020071, 367.97010200330},
{ 0.00000000342, 5.27207825111, 28.57180808220},
{ 0.00000000406, 2.00845231847, 679.25416222920},
{ 0.00000000381, 4.61323929793, 329.72519178090},
{ 0.00000000388, 0.89083225227, 483.22054217860},
{ 0.00000000376, 1.28833260468, 155.78297225810},
{ 0.00000000326, 6.09139244001, 456.39383923560},
{ 0.00000000300, 5.11528183598, 375.39246554480},
{ 0.00000000321, 0.11320249807, 69.36497259590},
{ 0.00000000299, 6.03912323340, 332.80601178210},
{ 0.00000000328, 3.47252263966, 73.40900044360},
{ 0.00000000283, 1.81773059325, 647.01083331480},
{ 0.00000000308, 3.50107540223, 30.71067209630},
{ 0.00000000278, 3.85509473152, 760.25553592000},
{ 0.00000000293, 5.44449244354, 477.91579079180},
{ 0.00000000319, 1.96492310465, 543.02428721890},
{ 0.00000000275, 1.82480767582, 24.37902238820},
{ 0.00000000254, 4.23529202563, 391.17346822390},
{ 0.00000000248, 2.17740648239, 611.58611066270},
{ 0.00000000271, 3.85067228463, 209.36694217490},
{ 0.00000000245, 1.04008534095, 1332.48477066750},
{ 0.00000000248, 6.19520746836, 1134.16352875650},
{ 0.00000000317, 5.60194689908, 501.37978944330},
{ 0.00000000242, 1.37720813333, 121.25202148330},
{ 0.00000000234, 0.50970508504, 462.02291352810},
{ 0.00000000236, 0.71434091094, 233.90602325750},
{ 0.00000000319, 4.24234798459, 328.35259365720},
{ 0.00000000245, 6.00685270776, 295.19424100610},
{ 0.00000000224, 2.04173820334, 370.93904741990},
{ 0.00000000226, 4.36158718577, 269.92144674060},
{ 0.00000000222, 5.32240209336, 983.11585891360},
{ 0.00000000219, 1.37802257893, 302.09533968580},
{ 0.00000000301, 5.70756404145, 189.18070548070},
{ 0.00000000244, 4.69736688026, 316.39186965660},
{ 0.00000000267, 0.15744446717, 10213.28554621100},
{ 0.00000000210, 5.84976141374, 147.11551657980},
{ 0.00000000224, 3.04838385551, 1439.50969814920},
{ 0.00000000267, 2.78030672201, 144.14657116320},
{ 0.00000000204, 2.37388505075, 275.55052103310},
{ 0.00000000229, 2.33600590519, 150.52640498110},
{ 0.00000000194, 5.11344829807, 1215.16490244730},
{ 0.00000000215, 0.70130699540, 45.57665103870},
{ 0.00000000198, 3.20849122961, 7.42236354150},
{ 0.00000000196, 3.83527631644, 46.20979048510},
{ 0.00000000195, 6.08813214815, 344.70304530790},
{ 0.00000000179, 4.70649738298, 518.64526483070},
{ 0.00000000176, 3.72183112618, 150.08446199640},
{ 0.00000000222, 6.13768802796, 6.21977512350},
{ 0.00000000174, 1.87343899875, 310.17209453310},
{ 0.00000000168, 3.34209611420, 173.94221952280},
{ 0.00000000192, 0.41644241830, 0.96320784650},
{ 0.00000000141, 1.70340116374, 531.17543780290},
{ 0.00000000149, 3.99276635695, 228.79821382680},
{ 0.00000000137, 6.20556096334, 369.45457471160},
{ 0.00000000145, 3.96204016046, 350.33211960040},
{ 0.00000000126, 5.28560984253, 329.83706636550},
{ 0.00000000132, 4.51993002555, 148.59998928810},
{ 0.00000000125, 4.24716365077, 248.72381809010},
{ 0.00000000131, 4.06190440824, 526.72201967800},
{ 0.00000000120, 4.08620475792, 154.97982310600},
{ 0.00000000134, 3.16619358295, 262.47783133970},
{ 0.00000000121, 2.31292076167, 232.04904353370},
{ 0.00000000125, 4.25542060721, 377.15882254340},
{ 0.00000000119, 4.12193841810, 404.61866493280},
{ 0.00000000130, 6.09762672394, 171.65459766240},
{ 0.00000000127, 3.76800714166, 369.08206769610},
{ 0.00000000100, 2.65367785044, 703.63318461740},
{ 0.00000000127, 3.33536864400, 149.04193227280},
{ 0.00000000116, 4.77834673196, 1289.94650101460},
{ 0.00000000096, 2.47155169370, 210.33015002140},
{ 0.00000000097, 1.08835035283, 156.15547927360},
{ 0.00000000108, 3.07832539912, 6133.51265285680},
{ 0.00000000108, 2.03236554349, 6283.07584999140},
{ 0.00000000100, 4.75380350867, 218.92816973050},
{ 0.00000000093, 1.66567734962, 668.20846196530},
{ 0.00000000097, 0.64083375068, 252.65597135320},
{ 0.00000000091, 4.11478686503, 166.82867252200},
{ 0.00000000089, 4.92738306385, 353.30106501700},
{ 0.00000000081, 1.42684401779, 831.10498122420},
{ 0.00000000084, 2.75226196759, 217.23124870110},
{ 0.00000000083, 4.26421510316, 383.09671337660},
{ 0.00000000098, 0.58553892847, 339.28641933650},
{ 0.00000000101, 4.62998086587, 756.32338265690},
{ 0.00000000079, 5.79692522120, 443.86366626340},
{ 0.00000000075, 3.39046285130, 447.20511869550},
{ 0.00000000076, 0.11314255037, 406.10313764110},
{ 0.00000000074, 0.54434880673, 33.13710079170},
{ 0.00000000075, 2.44458975326, 120.99138905240},
{ 0.00000000074, 0.63126666381, 335.77495719870},
};
static const struct ln_vsop uranus_latitude_b1[LAT_B1] = {
{ 0.00034101978, 0.01321929936, 74.78159856730},
{ 0.00002480115, 2.73961370453, 149.56319713460},
{ 0.00001719377, 0.00000000000, 0.00000000000},
{ 0.00000395276, 5.49322816551, 76.26607127560},
{ 0.00000308903, 3.61139770633, 73.29712585900},
{ 0.00000181125, 5.32079457105, 224.34479570190},
{ 0.00000144520, 4.22110521671, 63.73589830340},
{ 0.00000076343, 4.54620999213, 85.82729883120},
{ 0.00000072633, 5.97811706013, 1.48447270830},
{ 0.00000065492, 2.77607065171, 11.04570026390},
{ 0.00000063931, 6.15917217447, 138.51749687070},
{ 0.00000050972, 1.79457572126, 151.04766984290},
{ 0.00000039930, 3.59559614775, 148.07872442630},
{ 0.00000036667, 3.82753352893, 70.84944530420},
{ 0.00000026969, 4.71074996908, 78.71375183040},
{ 0.00000027205, 4.22769491494, 71.81265315070},
{ 0.00000022074, 4.76357435668, 213.29909543800},
{ 0.00000022655, 4.40615405121, 77.75054398390},
{ 0.00000015720, 1.55930265947, 529.69096509460},
{ 0.00000010090, 5.83224201984, 145.63104387150},
{ 0.00000012912, 1.56375170441, 299.12639426920},
{ 0.00000007956, 5.02287526190, 2.96894541660},
{ 0.00000008579, 6.26698868752, 222.86032299360},
{ 0.00000007534, 0.80106371071, 160.60889739850},
{ 0.00000006679, 2.78528388060, 3.93215326310},
{ 0.00000005496, 3.31254191722, 77.96299230500},
{ 0.00000005232, 5.06918050814, 71.60020482960},
{ 0.00000004398, 4.52763457543, 380.12776796000},
{ 0.00000005025, 1.23324638522, 52.69019803950},
{ 0.00000005160, 4.31709832477, 225.82926841020},
{ 0.00000003310, 3.75868972095, 35.16409022120},
{ 0.00000003866, 1.26370982350, 65.22037101170},
{ 0.00000003055, 0.62704236969, 152.53214255120},
{ 0.00000002433, 5.16881959896, 39.61750834610},
{ 0.00000003040, 2.69522691477, 202.25339517410},
{ 0.00000002312, 5.05125177167, 22.09140052780},
{ 0.00000002685, 0.39348299350, 84.34282612290},
{ 0.00000002372, 5.24162482086, 56.62235130260},
{ 0.00000002088, 1.79153906168, 220.41264243880},
{ 0.00000002085, 3.50728589034, 87.31177153950},
{ 0.00000002170, 0.92046078692, 153.49535039770},
{ 0.00000001813, 4.58205400420, 146.59425171800},
{ 0.00000001712, 3.46795755957, 111.43016149680},
{ 0.00000001669, 0.52544187039, 184.72728735580},
{ 0.00000001690, 3.51435037186, 351.81659230870},
{ 0.00000001623, 1.83332553557, 72.33391801250},
{ 0.00000001615, 3.22111940844, 79.23501669220},
{ 0.00000001443, 0.38490278682, 9.56122755560},
{ 0.00000001379, 2.25314683721, 131.40394986990},
{ 0.00000001471, 5.65482351957, 67.66805156650},
{ 0.00000001513, 1.70291762548, 12.53017297220},
{ 0.00000001219, 1.01279910067, 127.47179660680},
{ 0.00000001595, 5.26092020655, 62.25142559510},
{ 0.00000001392, 2.19044218730, 206.18554843720},
{ 0.00000001569, 3.39043730503, 277.03499374140},
{ 0.00000001560, 3.27054489518, 36.64856292950},
{ 0.00000001162, 0.53527505489, 77.22927912210},
{ 0.00000001085, 1.27498553595, 73.81839072080},
{ 0.00000001257, 0.04368108516, 18.15924726470},
{ 0.00000001047, 0.81042117668, 75.74480641380},
{ 0.00000001038, 3.90628138392, 4.45341812490},
{ 0.00000000956, 3.66430920732, 74.89347315190},
{ 0.00000001052, 2.41090141006, 297.64192156090},
{ 0.00000000976, 5.46581402543, 70.32818044240},
{ 0.00000001177, 0.17623728581, 426.59819087600},
{ 0.00000000853, 0.81527596999, 137.03302416240},
{ 0.00000000862, 1.76954399486, 305.34616939270},
{ 0.00000000726, 2.19758076790, 112.91463420510},
{ 0.00000000791, 2.49340799866, 1059.38193018920},
{ 0.00000000696, 4.12237397933, 109.94568878850},
{ 0.00000000694, 1.89100616611, 92.94084583200},
{ 0.00000000711, 4.06903566155, 373.90799283650},
{ 0.00000000584, 6.17026395543, 81.89514556810},
{ 0.00000000660, 4.96483571441, 74.66972398270},
{ 0.00000000566, 5.13046568900, 490.33408917940},
{ 0.00000000559, 0.90292303032, 221.37585028530},
{ 0.00000000692, 0.12427497048, 3.18139373770},
{ 0.00000000734, 0.60531957870, 38.13303563780},
{ 0.00000000532, 3.98648434092, 604.47256366190},
{ 0.00000000584, 5.06689547480, 288.08069400530},
{ 0.00000000629, 0.54026926209, 96.87299909510},
{ 0.00000000561, 4.73267608947, 454.90936652730},
{ 0.00000000470, 3.99280389290, 41.10198105440},
{ 0.00000000566, 6.02809954245, 191.20769491020},
{ 0.00000000507, 2.22687412142, 265.98929347750},
{ 0.00000000506, 1.87736218659, 7.11354700080},
{ 0.00000000439, 3.41337176747, 80.19822453870},
{ 0.00000000410, 2.50600627363, 142.44965013380},
{ 0.00000000422, 3.31613690285, 235.39049596580},
{ 0.00000000372, 4.59862949974, 536.80451209540},
{ 0.00000000371, 0.79783261377, 108.46121608020},
{ 0.00000000373, 4.56996089020, 415.55249061210},
{ 0.00000000351, 5.99218780431, 186.21176006410},
{ 0.00000000407, 4.34825659263, 340.77089204480},
{ 0.00000000328, 0.65738227750, 66.70484372000},
{ 0.00000000372, 5.10831450067, 522.57741809380},
{ 0.00000000343, 0.53613562161, 300.61086697750},
{ 0.00000000270, 1.27650196236, 703.63318461740},
{ 0.00000000278, 4.58530381992, 195.13984817330},
{ 0.00000000239, 0.43515793516, 33.13710079170},
{ 0.00000000237, 3.82041367450, 617.80588578620},
{ 0.00000000235, 4.20082783313, 116.42609634290},
{ 0.00000000235, 1.41272118988, 835.03713448730},
{ 0.00000000245, 4.77313758758, 41.64449777560},
{ 0.00000000198, 0.36712400018, 2.44768055480},
{ 0.00000000193, 3.18074408969, 387.24131496080},
{ 0.00000000204, 3.17054171814, 211.81462272970},
{ 0.00000000242, 1.23871652170, 146.38180339690},
{ 0.00000000227, 2.35811929824, 159.12442469020},
{ 0.00000000186, 5.03606957476, 14.97785352700},
{ 0.00000000211, 3.80164653477, 373.01422095920},
{ 0.00000000209, 3.12060090889, 227.31374111850},
{ 0.00000000166, 3.26464486430, 259.50888592310},
{ 0.00000000169, 1.43527176999, 152.74459087230},
{ 0.00000000127, 2.56383866135, 140.00196957900},
{ 0.00000000124, 6.03937004050, 162.09337010680},
{ 0.00000000118, 1.35527417493, 114.39910691340},
{ 0.00000000110, 1.36513996746, 183.24281464750},
{ 0.00000000109, 2.14362406822, 209.36694217490},
{ 0.00000000116, 3.42267498449, 228.27694896500},
{ 0.00000000104, 5.33634525923, 378.64329525170},
{ 0.00000000128, 5.42597035936, 230.56457082540},
{ 0.00000000115, 1.15568409498, 909.81873305460},
{ 0.00000000086, 1.55888062727, 344.70304530790},
{ 0.00000000098, 5.72850189948, 154.01661525950},
{ 0.00000000104, 5.06629922886, 145.10977900970},
{ 0.00000000099, 3.88447445684, 33.67961751290},
{ 0.00000000085, 6.15025173870, 269.92144674060},
{ 0.00000000085, 3.47642579503, 296.15744885260},
{ 0.00000000078, 0.83351167637, 144.14657116320},
};
static const struct ln_vsop uranus_latitude_b2[LAT_B2] = {
{ 0.00000764663, 1.74870957857, 74.78159856730},
{ 0.00000055734, 3.14159265359, 0.00000000000},
{ 0.00000025641, 5.67301557131, 149.56319713460},
{ 0.00000013335, 5.92348443969, 73.29712585900},
{ 0.00000006636, 2.30241577514, 85.82729883120},
{ 0.00000004926, 2.21241492976, 76.26607127560},
{ 0.00000004368, 0.76649493506, 11.04570026390},
{ 0.00000004095, 1.81604424547, 70.84944530420},
{ 0.00000003550, 2.72620892642, 224.34479570190},
{ 0.00000003556, 0.36898980602, 78.71375183040},
{ 0.00000003799, 1.75732801545, 138.51749687070},
{ 0.00000001820, 1.54477121376, 77.96299230500},
{ 0.00000001651, 1.41591379356, 1.48447270830},
{ 0.00000001608, 6.22512841748, 213.29909543800},
{ 0.00000001452, 3.90164387464, 145.63104387150},
{ 0.00000001245, 3.04960471697, 529.69096509460},
{ 0.00000001689, 0.57422602041, 71.60020482960},
{ 0.00000001082, 5.44260490226, 151.04766984290},
{ 0.00000001033, 5.50906270157, 63.73589830340},
{ 0.00000000979, 4.45089803473, 3.93215326310},
{ 0.00000000895, 4.45228515086, 148.07872442630},
{ 0.00000000610, 0.69755363233, 71.81265315070},
{ 0.00000000724, 4.66998863825, 160.60889739850},
{ 0.00000000377, 5.83975114717, 127.47179660680},
{ 0.00000000395, 2.05229057211, 77.75054398390},
{ 0.00000000333, 3.76580834650, 454.90936652730},
{ 0.00000000309, 4.06945653305, 18.15924726470},
{ 0.00000000286, 0.10714983850, 220.41264243880},
{ 0.00000000281, 5.45374336062, 299.12639426920},
{ 0.00000000323, 0.04948675860, 72.33391801250},
{ 0.00000000365, 2.39747909046, 56.62235130260},
{ 0.00000000258, 3.54572684987, 52.69019803950},
{ 0.00000000214, 1.99573431344, 22.09140052780},
{ 0.00000000220, 5.12637793339, 3.18139373770},
{ 0.00000000134, 4.08992196303, 131.40394986990},
{ 0.00000000147, 2.92139556480, 153.49535039770},
{ 0.00000000096, 1.97465913947, 225.82926841020},
{ 0.00000000076, 1.48178075191, 206.18554843720},
{ 0.00000000085, 2.49786959141, 380.12776796000},
};
static const struct ln_vsop uranus_latitude_b3[LAT_B3] = {
{ 0.00000021201, 3.16540759295, 74.78159856730},
{ 0.00000001182, 4.44441014271, 149.56319713460},
{ 0.00000001184, 3.14159265359, 0.00000000000},
{ 0.00000000433, 1.10371780340, 73.29712585900},
{ 0.00000000412, 0.43984657946, 76.26607127560},
{ 0.00000000466, 5.92951996029, 70.84944530420},
{ 0.00000000464, 1.88752032733, 78.71375183040},
{ 0.00000000404, 6.16046303283, 85.82729883120},
{ 0.00000000401, 1.68921956710, 63.73589830340},
{ 0.00000000295, 5.96253146711, 77.96299230500},
{ 0.00000000294, 1.85767623542, 71.60020482960},
{ 0.00000000174, 4.79023778832, 11.04570026390},
{ 0.00000000099, 0.42283006135, 224.34479570190},
{ 0.00000000088, 2.27837607751, 145.63104387150},
{ 0.00000000079, 3.66485269931, 138.51749687070},
};
static const struct ln_vsop uranus_radius_r0[RADIUS_R0] = {
{ 19.21264847206, 0.00000000000, 0.00000000000},
{ 0.88784984413, 5.60377527014, 74.78159856730},
{ 0.03440836062, 0.32836099706, 73.29712585900},
{ 0.02055653860, 1.78295159330, 149.56319713460},
{ 0.00649322410, 4.52247285911, 76.26607127560},
{ 0.00602247865, 3.86003823674, 63.73589830340},
{ 0.00496404167, 1.40139935333, 454.90936652730},
{ 0.00338525369, 1.58002770318, 138.51749687070},
{ 0.00243509114, 1.57086606044, 71.81265315070},
{ 0.00190522303, 1.99809394714, 1.48447270830},
{ 0.00161858838, 2.79137786799, 148.07872442630},
{ 0.00143706183, 1.38368544947, 11.04570026390},
{ 0.00093192405, 0.17437220467, 36.64856292950},
{ 0.00071424548, 4.24509236074, 224.34479570190},
{ 0.00089806014, 3.66105364565, 109.94568878850},
{ 0.00039009723, 1.66971401684, 70.84944530420},
{ 0.00046677296, 1.39976401694, 35.16409022120},
{ 0.00039025624, 3.36234773834, 277.03499374140},
{ 0.00036755274, 3.88649278513, 146.59425171800},
{ 0.00030348723, 0.70100838798, 151.04766984290},
{ 0.00029156413, 3.18056336700, 77.75054398390},
{ 0.00020471591, 1.55587964879, 202.25339517410},
{ 0.00025620756, 5.25656086672, 380.12776796000},
{ 0.00025785880, 3.78537709870, 85.82729883120},
{ 0.00022637073, 0.72518687029, 529.69096509460},
{ 0.00020473534, 2.79640244248, 70.32818044240},
{ 0.00017901300, 0.55455066863, 2.96894541660},
{ 0.00012328114, 5.96037276805, 127.47179660680},
{ 0.00014701666, 4.90434516516, 108.46121608020},
{ 0.00011494680, 0.43772043395, 65.22037101170},
{ 0.00015502375, 5.35405396163, 38.13303563780},
{ 0.00010792498, 1.42106296264, 213.29909543800},
{ 0.00011695693, 3.29824190199, 3.93215326310},
{ 0.00011959076, 1.75043392140, 984.60033162190},
{ 0.00012896452, 2.62154084288, 111.43016149680},
{ 0.00011852959, 0.99344161196, 52.69019803950},
{ 0.00009111621, 4.99633582839, 62.25142559510},
{ 0.00008420792, 5.25351368389, 222.86032299360},
{ 0.00007448995, 0.79495503123, 351.81659230870},
{ 0.00008402384, 5.03876467031, 415.55249061210},
{ 0.00006046221, 5.67958564987, 78.71375183040},
{ 0.00005524411, 3.11493320824, 9.56122755560},
{ 0.00007329301, 3.97276588872, 183.24281464750},
{ 0.00005444570, 5.10574758517, 145.10977900970},
{ 0.00005238203, 2.62960535651, 33.67961751290},
{ 0.00004079523, 3.22064116734, 340.77089204480},
{ 0.00003801645, 6.10982670905, 184.72728735580},
{ 0.00003918728, 4.25017709085, 39.61750834610},
{ 0.00002940764, 2.14649735789, 137.03302416240},
{ 0.00003781197, 3.45840366912, 456.39383923560},
{ 0.00002942224, 0.42392830457, 299.12639426920},
{ 0.00003686324, 2.48725993956, 453.42489381900},
{ 0.00003101496, 4.14028619712, 219.89137757700},
{ 0.00002962643, 0.82981906774, 56.62235130260},
{ 0.00002937579, 3.67652211319, 140.00196957900},
{ 0.00002864793, 0.30998964462, 12.53017297220},
{ 0.00002538110, 4.85443168231, 131.40394986990},
{ 0.00001962787, 5.24326793681, 84.34282612290},
{ 0.00002363719, 0.44244699485, 554.06998748280},
{ 0.00001978408, 6.12838999163, 106.97674337190},
{ 0.00002182603, 2.94042519396, 305.34616939270},
{ 0.00001963255, 0.04114614586, 221.37585028530},
{ 0.00001829781, 4.01105197128, 68.84370773410},
{ 0.00001642920, 0.35558129224, 67.66805156650},
{ 0.00001584876, 3.16265838848, 225.82926841020},
{ 0.00001848022, 2.91116293131, 909.81873305460},
{ 0.00001632263, 4.23038575372, 22.09140052780},
{ 0.00001402196, 1.39106710150, 265.98929347750},
{ 0.00001404021, 5.63567908789, 4.45341812490},
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{ 0.00000001453, 4.69267570928, 746.76215510130},
{ 0.00000001450, 3.85293024011, 907.37105249980},
{ 0.00000001369, 1.34933149459, 1130.23137549340},
{ 0.00000001420, 2.79221953555, 396.54191008550},
};
static const struct ln_vsop uranus_radius_r1[RADIUS_R1] = {
{ 0.01479896629, 3.67205697578, 74.78159856730},
{ 0.00071212143, 6.22600975161, 63.73589830340},
{ 0.00068627160, 6.13411179902, 149.56319713460},
{ 0.00020857554, 5.24625848960, 11.04570026390},
{ 0.00021468362, 2.60175716374, 76.26607127560},
{ 0.00024059369, 3.14159265359, 0.00000000000},
{ 0.00011405056, 0.01849738017, 70.84944530420},
{ 0.00007496797, 0.42361355955, 73.29712585900},
{ 0.00004243606, 1.41691058162, 85.82729883120},
{ 0.00003505951, 2.58348117401, 138.51749687070},
{ 0.00003228800, 5.25495561645, 3.93215326310},
{ 0.00003926833, 3.15526349399, 71.81265315070},
{ 0.00003059899, 0.15323842112, 1.48447270830},
{ 0.00003578254, 2.31157935775, 224.34479570190},
{ 0.00002564235, 0.98078549108, 148.07872442630},
{ 0.00002429191, 3.99450740432, 52.69019803950},
{ 0.00001644830, 2.65310351864, 127.47179660680},
{ 0.00001583569, 1.43049534360, 78.71375183040},
{ 0.00001413380, 4.57461623347, 202.25339517410},
{ 0.00001489724, 2.67568435302, 56.62235130260},
{ 0.00001403280, 1.36986207457, 77.75054398390},
{ 0.00001227894, 1.04699377171, 62.25142559510},
{ 0.00001507836, 5.06019185241, 151.04766984290},
{ 0.00000991944, 2.17181655850, 65.22037101170},
{ 0.00001032728, 0.26473484111, 131.40394986990},
{ 0.00000861752, 5.05508815872, 351.81659230870},
{ 0.00000744512, 3.07725212553, 35.16409022120},
{ 0.00000603966, 0.90716451094, 984.60033162190},
{ 0.00000647014, 4.47286717163, 70.32818044240},
{ 0.00000574672, 3.23069145540, 447.79581952650},
{ 0.00000687477, 2.49910872963, 77.96299230500},
{ 0.00000623247, 0.86227007749, 9.56122755560},
{ 0.00000527867, 5.15141241909, 2.96894541660},
{ 0.00000561872, 2.71781314149, 462.02291352810},
{ 0.00000530530, 5.91685160971, 213.29909543800},
{ 0.00000459886, 4.22296426568, 12.53017297220},
{ 0.00000494251, 0.46321800530, 145.63104387150},
{ 0.00000487371, 0.70688896635, 380.12776796000},
{ 0.00000380709, 3.85094436388, 3.18139373770},
{ 0.00000444185, 2.15555848995, 67.66805156650},
{ 0.00000338646, 2.53719277381, 18.15924726470},
{ 0.00000372951, 5.05141758574, 529.69096509460},
{ 0.00000348335, 1.74875375735, 71.60020482960},
{ 0.00000405615, 1.22950417858, 22.09140052780},
{ 0.00000268994, 6.24204805310, 340.77089204480},
{ 0.00000255860, 2.95699944505, 84.34282612290},
{ 0.00000259244, 3.92085033287, 59.80374504030},
{ 0.00000224702, 3.90949421678, 160.60889739850},
{ 0.00000221874, 3.64708443278, 137.03302416240},
{ 0.00000254339, 3.50524488134, 38.13303563780},
{ 0.00000238200, 2.04842095939, 269.92144674060},
{ 0.00000272459, 3.38353829996, 222.86032299360},
{ 0.00000200600, 1.24854381161, 69.36497259590},
{ 0.00000234216, 0.27861629739, 108.46121608020},
{ 0.00000188802, 4.41158620525, 265.98929347750},
{ 0.00000212138, 0.68012161063, 111.43016149680},
{ 0.00000205992, 1.53361539719, 284.14854074220},
{ 0.00000196457, 4.77133840382, 299.12639426920},
{ 0.00000153201, 5.21574674133, 209.36694217490},
{ 0.00000163544, 4.34120077587, 33.67961751290},
{ 0.00000150382, 1.98905719076, 54.17467074780},
{ 0.00000136927, 0.40354426815, 195.13984817330},
{ 0.00000117521, 0.39618046394, 87.31177153950},
{ 0.00000128577, 2.40591376513, 39.61750834610},
{ 0.00000104684, 2.91746030897, 134.58534360760},
{ 0.00000103870, 1.81603765254, 72.33391801250},
{ 0.00000106087, 0.17146170085, 79.23501669220},
{ 0.00000106822, 0.69945014388, 2.44768055480},
{ 0.00000094904, 4.02460487466, 82.85835341460},
{ 0.00000104645, 4.43615418997, 305.34616939270},
{ 0.00000093832, 5.01799603662, 51.20572533120},
{ 0.00000103733, 2.57520994669, 191.20769491020},
{ 0.00000106820, 1.22984965801, 225.82926841020},
{ 0.00000093580, 3.09257295667, 77.22927912210},
{ 0.00000097607, 3.81404159560, 152.53214255120},
{ 0.00000084782, 5.72500693196, 68.84370773410},
{ 0.00000077488, 0.08155105577, 45.57665103870},
{ 0.00000076047, 4.20422198550, 73.81839072080},
{ 0.00000086387, 0.53091293351, 145.10977900970},
{ 0.00000075755, 3.78546185557, 75.74480641380},
{ 0.00000077592, 1.63627982289, 479.28838891550},
{ 0.00000084780, 0.61510586137, 116.42609634290},
{ 0.00000100494, 4.93994320097, 120.35824960600},
{ 0.00000071979, 4.30613043603, 565.11568774670},
{ 0.00000071236, 2.38119498898, 60.76695288680},
{ 0.00000071539, 3.93757368948, 153.49535039770},
{ 0.00000084837, 5.55880391517, 344.70304530790},
{ 0.00000063516, 1.93751130249, 41.64449777560},
{ 0.00000071587, 3.71204011090, 408.43894361130},
{ 0.00000061914, 3.90141588459, 4.45341812490},
{ 0.00000065088, 1.55911828467, 106.97674337190},
{ 0.00000060091, 0.60112111486, 74.89347315190},
{ 0.00000061828, 4.39028435621, 453.42489381900},
{ 0.00000063246, 4.18799696764, 184.72728735580},
{ 0.00000062339, 3.23753339104, 422.66603761290},
{ 0.00000054893, 3.72792577723, 7.11354700080},
{ 0.00000052457, 6.08632045364, 404.50679034820},
{ 0.00000053071, 3.51022280941, 125.98732389850},
{ 0.00000059034, 1.55684840494, 456.39383923560},
{ 0.00000058831, 5.33573241567, 220.41264243880},
{ 0.00000052838, 5.20104115605, 358.93013930950},
{ 0.00000052878, 4.44628349017, 426.59819087600},
{ 0.00000055201, 1.60181891958, 14.97785352700},
{ 0.00000050997, 0.52968367981, 490.33408917940},
{ 0.00000049541, 4.25523625544, 5.41662597140},
{ 0.00000051389, 0.37029408817, 206.18554843720},
{ 0.00000051834, 1.75478067650, 8.07675484730},
{ 0.00000056742, 0.83891135620, 146.59425171800},
{ 0.00000049107, 0.94051631401, 99.16062095550},
{ 0.00000045714, 5.34241750716, 152.74459087230},
{ 0.00000048197, 1.97584360072, 288.08069400530},
{ 0.00000044024, 3.03717070644, 20.60692781950},
{ 0.00000049092, 5.84636334727, 112.91463420510},
{ 0.00000041989, 0.04895666240, 128.95626931510},
{ 0.00000048335, 3.62867663323, 81.00137369080},
{ 0.00000041451, 2.33805925587, 277.03499374140},
{ 0.00000040161, 5.09672112780, 35.42472265210},
{ 0.00000041968, 2.50991447143, 24.37902238820},
{ 0.00000038204, 3.61405134343, 173.94221952280},
{ 0.00000038414, 2.06063652881, 333.65734504400},
{ 0.00000042597, 1.26088737300, 1514.29129671650},
{ 0.00000038855, 0.74315611802, 347.88443904560},
{ 0.00000038552, 4.95041145803, 92.94084583200},
{ 0.00000033234, 1.38358507432, 74.66972398270},
{ 0.00000033788, 3.68407945156, 66.91729204110},
{ 0.00000039054, 5.49702926560, 200.76892246580},
{ 0.00000031786, 0.54344835858, 203.73786788240},
{ 0.00000033322, 6.26106483857, 1059.38193018920},
{ 0.00000030806, 2.53797566903, 977.48678462110},
{ 0.00000030059, 0.19481253674, 387.24131496080},
{ 0.00000029120, 5.44130853027, 58.10682401090},
{ 0.00000028997, 3.10546504714, 991.71387862270},
{ 0.00000027827, 0.36512476794, 80.19822453870},
{ 0.00000035694, 3.72852678524, 96.87299909510},
{ 0.00000032516, 4.38447867630, 221.37585028530},
{ 0.00000026840, 1.35294770385, 0.96320784650},
{ 0.00000031276, 0.79566551587, 373.01422095920},
{ 0.00000025922, 3.45840169631, 144.14657116320},
{ 0.00000031032, 2.06301188151, 230.56457082540},
{ 0.00000030278, 0.71358545978, 109.94568878850},
{ 0.00000024834, 3.04814439142, 14.01464568050},
{ 0.00000025206, 5.12301274564, 81.37388070630},
{ 0.00000027765, 4.75859307922, 415.55249061210},
{ 0.00000025582, 2.56904012503, 522.57741809380},
{ 0.00000024351, 2.20288762433, 628.85158605010},
{ 0.00000024132, 5.67351884701, 443.86366626340},
{ 0.00000025491, 1.78473889586, 143.62530630140},
{ 0.00000024065, 0.67010805340, 46.20979048510},
{ 0.00000025679, 5.43185950755, 546.95644048200},
{ 0.00000024624, 3.30585050808, 617.80588578620},
{ 0.00000024242, 5.59897471399, 32.19514480460},
{ 0.00000022390, 4.82189515313, 135.54855145410},
{ 0.00000027179, 2.02720095476, 536.80451209540},
{ 0.00000021973, 4.59216176679, 241.61027108930},
{ 0.00000022055, 4.61793641919, 391.17346822390},
{ 0.00000020834, 0.24550904041, 465.95506679120},
{ 0.00000027275, 2.15420645259, 140.00196957900},
{ 0.00000023632, 4.94972840898, 561.18353448360},
{ 0.00000021149, 5.27166890173, 159.12442469020},
{ 0.00000023328, 3.80624099549, 55.13787859430},
{ 0.00000020015, 1.30330553666, 518.64526483070},
{ 0.00000024853, 0.53398556310, 181.75834193920},
{ 0.00000020058, 4.88841177982, 909.81873305460},
{ 0.00000019193, 1.31168318333, 543.02428721890},
{ 0.00000020801, 0.91178178054, 76.47851959670},
{ 0.00000018990, 4.67975156701, 98.89998852460},
{ 0.00000019667, 0.66620464883, 66.70484372000},
{ 0.00000025922, 4.52830002662, 454.90936652730},
{ 0.00000018833, 6.08042451630, 103.09277421860},
{ 0.00000021624, 1.23560892029, 41.10198105440},
{ 0.00000018091, 0.96586313214, 55.65914345610},
{ 0.00000021264, 4.19514315520, 329.72519178090},
{ 0.00000018717, 5.77529020491, 142.44965013380},
{ 0.00000019415, 4.31464975363, 6.21977512350},
{ 0.00000023318, 5.83851945854, 297.64192156090},
{ 0.00000016657, 6.09418922673, 211.81462272970},
{ 0.00000016201, 2.49044081792, 61.28821774860},
{ 0.00000020158, 3.16239645425, 186.21176006410},
{ 0.00000016004, 2.97277766861, 81.89514556810},
{ 0.00000019202, 6.01151966247, 155.78297225810},
{ 0.00000017468, 4.82367359029, 273.10284047830},
{ 0.00000015141, 3.65588411554, 472.17484191470},
{ 0.00000018451, 3.47623430315, 36.64856292950},
{ 0.00000016303, 0.13085990583, 554.06998748280},
{ 0.00000018634, 0.23919770714, 23.57587323610},
{ 0.00000014358, 2.69393539884, 70.11573212130},
{ 0.00000015190, 2.43789398876, 486.40193591630},
{ 0.00000014488, 0.14254642208, 235.39049596580},
{ 0.00000013868, 5.09135892763, 29.20494752860},
{ 0.00000014406, 1.56741430063, 110.20632121940},
{ 0.00000015722, 4.25156109914, 146.38180339690},
{ 0.00000017435, 1.95393343617, 835.03713448730},
{ 0.00000013691, 1.63831110433, 92.04707395470},
{ 0.00000013239, 2.85690648081, 49.50880430180},
{ 0.00000012541, 2.92111856784, 60.55450456570},
{ 0.00000012594, 3.20935822266, 100.38446123290},
{ 0.00000014937, 0.32571457437, 259.50888592310},
{ 0.00000012827, 2.77958172785, 105.49227066360},
{ 0.00000012323, 3.36427641421, 440.68227252570},
{ 0.00000015261, 0.25477631378, 258.87574647670},
{ 0.00000012061, 0.08834689678, 157.63995198190},
{ 0.00000012881, 0.30715003179, 124.29040286910},
{ 0.00000010930, 3.41396817201, 33.13710079170},
{ 0.00000011062, 4.99201784219, 604.47256366190},
{ 0.00000010713, 3.88653353837, 767.36908292080},
{ 0.00000010435, 5.25417558285, 264.50482076920},
{ 0.00000012860, 4.80794300903, 114.39910691340},
{ 0.00000011561, 2.60450140190, 166.82867252200},
{ 0.00000010926, 0.64149188846, 558.00214074590},
{ 0.00000012320, 4.33795118362, 16.67477455640},
{ 0.00000009947, 0.67247104431, 31.49256938900},
{ 0.00000011298, 0.96114335836, 373.90799283650},
{ 0.00000012150, 1.91679035087, 378.64329525170},
{ 0.00000012229, 0.70508380884, 218.40690486870},
{ 0.00000010319, 0.18138367123, 275.55052103310},
{ 0.00000010753, 5.74480767273, 88.11492069160},
{ 0.00000009402, 0.67913169059, 353.30106501700},
{ 0.00000010651, 2.32656568944, 132.88842257820},
{ 0.00000009113, 2.99457723392, 681.54178408960},
{ 0.00000010788, 2.62866889129, 154.01661525950},
{ 0.00000009169, 4.79284571455, 216.48048917570},
{ 0.00000009121, 0.77801335714, 67.35923502580},
{ 0.00000009222, 0.73831686735, 129.91947716160},
{ 0.00000010633, 0.37523847853, 699.70103135430},
{ 0.00000009637, 2.88664912193, 67.88049988760},
{ 0.00000008646, 6.12261673260, 150.52640498110},
{ 0.00000008601, 2.20126464880, 342.25536475310},
{ 0.00000009283, 3.02854870998, 162.09337010680},
{ 0.00000009178, 1.49445512725, 19.64371997300},
{ 0.00000010072, 3.56581375513, 278.51946644970},
{ 0.00000009455, 3.06088366945, 149.67507171920},
{ 0.00000009786, 2.43713607191, 75.30286342910},
{ 0.00000009167, 5.33037538537, 152.01087768940},
{ 0.00000008844, 5.26389220400, 80.71948940050},
{ 0.00000008017, 4.71822595860, 106.01353552540},
{ 0.00000010094, 0.78601062380, 339.28641933650},
{ 0.00000008813, 0.01616162779, 42.58645376270},
{ 0.00000007821, 0.61192552414, 135.33610313300},
{ 0.00000008193, 2.59644466423, 469.13646052890},
{ 0.00000008571, 5.69112316506, 760.25553592000},
{ 0.00000009277, 1.97750611607, 147.11551657980},
{ 0.00000007482, 2.64377659424, 5.93789083320},
{ 0.00000008699, 0.54050826161, 66.18357885820},
{ 0.00000009761, 2.59090843673, 50.40257617910},
{ 0.00000007547, 5.94593031762, 97.41551581630},
{ 0.00000007597, 5.80197876381, 450.97721326420},
{ 0.00000008669, 3.69932904987, 300.61086697750},
{ 0.00000007728, 1.95146228634, 180.27386923090},
{ 0.00000007309, 4.98689362574, 117.91056905120},
{ 0.00000008195, 2.30281777892, 254.94359321360},
{ 0.00000007536, 1.47100575256, 32.24332891440},
{ 0.00000008473, 1.27680705707, 39.35687591520},
{ 0.00000007026, 0.68091865104, 874.39401040250},
{ 0.00000007389, 4.09295183164, 92.30770638560},
{ 0.00000007314, 5.04313738379, 756.32338265690},
{ 0.00000008454, 1.22026161161, 79.44746501330},
{ 0.00000008732, 1.34335847863, 48.75804477640},
{ 0.00000008700, 0.17463519061, 43.12897048390},
{ 0.00000008187, 4.29619724129, 624.91943278700},
{ 0.00000006941, 5.42054028600, 610.69233878540},
{ 0.00000006816, 3.90452052962, 480.77286162380},
{ 0.00000006753, 6.03251850119, 350.33211960040},
{ 0.00000006692, 4.78230287697, 142.66209845490},
{ 0.00000007025, 1.27885740826, 68.56182344380},
{ 0.00000006824, 1.36436524169, 291.26208774300},
{ 0.00000006900, 3.33848530676, 68.18931642830},
{ 0.00000007254, 3.18927739209, 268.43697403230},
{ 0.00000007635, 4.81180010568, 312.45971639350},
{ 0.00000008135, 1.99010407624, 692.58748435350},
{ 0.00000006310, 5.42075206842, 88.79624424780},
{ 0.00000006477, 1.05239284135, 685.47393735270},
{ 0.00000007121, 5.79764411155, 468.24268865160},
{ 0.00000006320, 2.58497126634, 458.09076026500},
{ 0.00000006775, 2.59596588927, 282.66406803390},
{ 0.00000006222, 5.68982546821, 113.87784205160},
{ 0.00000008525, 0.00581798397, 227.31374111850},
{ 0.00000006520, 3.99093726386, 42.53826965290},
{ 0.00000006435, 1.03721543099, 365.90067395840},
{ 0.00000008153, 4.04274797388, 183.24281464750},
{ 0.00000006039, 4.35471040863, 19.12245511120},
{ 0.00000008149, 1.12461637867, 69.15252427480},
{ 0.00000006151, 2.78303783800, 121.84272231430},
{ 0.00000007815, 0.55588235015, 296.15744885260},
{ 0.00000005989, 4.98445156091, 184.09414790940},
{ 0.00000006379, 0.16323583721, 228.27694896500},
{ 0.00000006269, 4.22014121556, 119.50691634410},
{ 0.00000005982, 5.44774666431, 17.52610781830},
{ 0.00000005870, 0.36534808613, 148.59998928810},
{ 0.00000005868, 5.39245291119, 95.38852638680},
{ 0.00000005906, 0.97697194245, 13.33332212430},
{ 0.00000005780, 0.17831781847, 458.84151979040},
{ 0.00000005719, 4.74598221436, 248.72381809010},
{ 0.00000005534, 4.24741728108, 75.53235809270},
{ 0.00000005630, 2.81567861587, 154.97982310600},
{ 0.00000006260, 3.52991762509, 285.63301345050},
{ 0.00000006919, 3.31432622158, 306.83064210100},
{ 0.00000006087, 4.04640130992, 271.40591944890},
{ 0.00000006866, 1.34299237220, 7.86430652620},
{ 0.00000005586, 5.33279407873, 920.86443331850},
{ 0.00000006528, 0.45565192064, 106.27416795630},
{ 0.00000005586, 0.29304653043, 173.68158709190},
{ 0.00000005353, 2.49825965802, 24.11838995730},
{ 0.00000006205, 5.27879491339, 120.99138905240},
{ 0.00000005974, 3.62786821437, 189.72322220190},
{ 0.00000005176, 3.69984512887, 778.41478318470},
{ 0.00000005240, 4.14231460056, 89.75945209430},
{ 0.00000005172, 1.54846732288, 193.65537546500},
{ 0.00000006360, 0.35370738254, 411.62033734900},
{ 0.00000005260, 1.26005665335, 267.47376618580},
{ 0.00000006906, 4.88299482194, 419.48464387520},
{ 0.00000006332, 5.25617761055, 58.31927233200},
{ 0.00000005993, 4.70505278581, 298.23262239190},
{ 0.00000005507, 2.72405080404, 986.08480433020},
{ 0.00000004936, 6.07953205967, 134.06407874580},
{ 0.00000005469, 6.21635608230, 91.45637312370},
{ 0.00000004846, 5.66714115710, 90.82323367730},
{ 0.00000004870, 1.24431497533, 25.60286266560},
{ 0.00000006149, 1.88362168986, 397.39324334740},
{ 0.00000005154, 3.37555501409, 831.10498122420},
{ 0.00000005253, 1.85387498292, 114.94162363460},
{ 0.00000005163, 0.49175608455, 16.46232623530},
{ 0.00000004670, 0.85077620511, 403.02231763990},
{ 0.00000004688, 4.94827397388, 902.70518605380},
{ 0.00000005005, 1.40309022449, 6.15033915430},
{ 0.00000005217, 0.27521357608, 192.69216761850},
{ 0.00000006177, 2.78454594522, 198.32124191100},
{ 0.00000005014, 5.57665259095, 451.94042111070},
{ 0.00000004580, 2.47734499363, 31.23193695810},
{ 0.00000005129, 3.23528704150, 109.31254934210},
{ 0.00000005740, 0.95870813397, 483.22054217860},
{ 0.00000004369, 6.21847573079, 207.88246946660},
{ 0.00000004425, 2.74721673213, 823.99143422340},
{ 0.00000004299, 0.66587852826, 210.33015002140},
{ 0.00000004527, 1.87365819890, 44.72531777680},
{ 0.00000004484, 1.03729827686, 606.76018552230},
{ 0.00000004135, 0.41031273891, 180.16199464630},
{ 0.00000004646, 5.82325024322, 905.88657979150},
{ 0.00000004086, 4.84914558939, 124.50285119020},
{ 0.00000004486, 0.35223479841, 457.87831194390},
{ 0.00000004318, 1.68857333749, 309.27832265580},
{ 0.00000005151, 2.90867214997, 28.31117565130},
{ 0.00000004061, 3.32301396744, 107.49800823370},
{ 0.00000004332, 1.41872733238, 25.12978191360},
{ 0.00000004944, 5.87125173636, 303.86169668440},
{ 0.00000004407, 5.28748850470, 449.28029223480},
{ 0.00000004180, 1.67985859496, 7.42236354150},
{ 0.00000003977, 3.22662754639, 639.89728631400},
{ 0.00000005415, 2.15030495019, 187.69623277240},
{ 0.00000004217, 0.73382717079, 497.44763618020},
{ 0.00000004875, 0.88184557385, 255.05546779820},
{ 0.00000004758, 4.60909386948, 258.02441321480},
{ 0.00000005337, 2.36556705745, 477.80391620720},
{ 0.00000004456, 1.74674336635, 95.97922721780},
{ 0.00000004138, 3.80344455465, 460.53844081980},
{ 0.00000003843, 4.02615028031, 104.00779795530},
{ 0.00000005032, 0.36645338967, 123.53964334370},
{ 0.00000003780, 2.89085160996, 27.08733537390},
{ 0.00000004309, 4.77464606019, 463.50738623640},
{ 0.00000003779, 3.05636034284, 142.14083359310},
{ 0.00000004357, 3.73616179561, 376.19561469690},
{ 0.00000003705, 2.47343159576, 25.27279426550},
{ 0.00000004232, 4.31629167726, 446.31134681820},
{ 0.00000003576, 2.55404008547, 6.59228213900},
{ 0.00000003685, 3.26448469664, 170.76082578510},
{ 0.00000003575, 4.31199276037, 572.22923474750},
{ 0.00000004496, 2.10358455875, 838.21852822500},
{ 0.00000003716, 0.20018583737, 394.35486196160},
{ 0.00000003846, 5.81080745080, 586.31331639720},
{ 0.00000003527, 4.05179036599, 433.71173787680},
{ 0.00000003524, 3.75716903766, 473.06861379200},
{ 0.00000003501, 4.44564884600, 384.05992122310},
{ 0.00000003636, 2.12955997197, 73.18525127440},
{ 0.00000003841, 5.28811045359, 43.28902917830},
{ 0.00000003928, 4.26291422687, 196.62432088160},
{ 0.00000003702, 3.86923731076, 981.63138620530},
{ 0.00000003445, 2.10100539423, 316.39186965660},
{ 0.00000003432, 2.97356096189, 535.91074021810},
{ 0.00000004312, 0.38740046308, 988.53248488500},
{ 0.00000003867, 2.08559458308, 457.35704708210},
{ 0.00000003353, 4.19681836937, 114.13847448250},
{ 0.00000004128, 3.06165703137, 377.15882254340},
{ 0.00000003545, 4.41886084391, 1293.87865427770},
{ 0.00000003309, 3.54050386234, 520.12973753900},
{ 0.00000003337, 6.23473900765, 9947.05568153210},
{ 0.00000004527, 4.61192905449, 47.06112374700},
{ 0.00000003523, 2.00908999163, 47.69426319340},
{ 0.00000003370, 3.65249455401, 976.00231191280},
{ 0.00000003290, 6.13529735100, 34.20088237470},
{ 0.00000003253, 5.22413528932, 425.11371816770},
{ 0.00000003461, 5.18605119393, 993.19835133100},
{ 0.00000003712, 2.53410725291, 237.67811782620},
{ 0.00000003240, 3.56995183051, 17.26547538740},
{ 0.00000003362, 1.26285882591, 233.90602325750},
{ 0.00000003606, 1.94705146379, 661.09491496450},
{ 0.00000003182, 0.36603315110, 449.49274055590},
{ 0.00000003427, 6.03153107557, 199.28444975750},
{ 0.00000003169, 2.55715329118, 6133.51265285680},
{ 0.00000003994, 4.53148620187, 916.93228005540},
{ 0.00000004413, 4.14550138614, 219.89137757700},
{ 0.00000003600, 4.16003477661, 214.78356814630},
{ 0.00000004193, 4.26425258521, 381.61224066830},
{ 0.00000003846, 3.76849990033, 8.59801970910},
{ 0.00000003183, 3.15317674552, 15.19030184810},
{ 0.00000003350, 5.63661413371, 444.82687410990},
{ 0.00000003780, 5.35722293289, 328.24071907260},
{ 0.00000003166, 2.16351748263, 983.11585891360},
{ 0.00000003930, 2.09444900058, 653.98136796370},
{ 0.00000003585, 1.24517449239, 162.89651925890},
{ 0.00000003527, 1.89208045227, 280.96714700450},
{ 0.00000003282, 1.91872815218, 2349.32843120380},
{ 0.00000003076, 4.77282170585, 820.05928096030},
{ 0.00000003399, 5.35259772941, 141.69889060840},
{ 0.00000003269, 0.52855777633, 450.45594840240},
{ 0.00000003582, 1.60170266832, 1587.58842257550},
{ 0.00000003044, 0.84602343274, 30.71067209630},
{ 0.00000003616, 6.16820602029, 171.65459766240},
{ 0.00000003007, 4.69605806277, 978.97125732940},
{ 0.00000003528, 4.79818282081, 406.95447090300},
{ 0.00000002980, 2.17792323043, 597.35901666110},
{ 0.00000002977, 0.69478628170, 294.30046912880},
{ 0.00000003411, 1.18022650672, 167.72244439930},
{ 0.00000004049, 3.15153850922, 833.55266177900},
{ 0.00000003725, 5.84743216544, 6058.73105428950},
{ 0.00000003242, 0.63525153286, 141.48644228730},
{ 0.00000003683, 1.86888555615, 371.52974825090},
{ 0.00000003877, 1.44138798341, 346.18751801620},
{ 0.00000003142, 2.26934250738, 517.16079212240},
{ 0.00000004077, 0.07273073033, 1190.03512053370},
{ 0.00000002893, 3.53141229605, 94.42531854030},
{ 0.00000003020, 2.64998251178, 20.44686912510},
{ 0.00000003110, 1.11431255827, 1044.40407666220},
{ 0.00000002836, 0.62522723719, 749.20983565610},
{ 0.00000002898, 4.11830043593, 600.54041039880},
{ 0.00000002819, 4.72400465237, 122.47586176070},
{ 0.00000003572, 1.96375884146, 372.42352012820},
{ 0.00000002801, 3.99301180541, 10063.72234907640},
{ 0.00000002806, 3.85026986935, 133.10087089930},
{ 0.00000002791, 6.24681129336, 908.33426034630},
{ 0.00000003466, 3.43275071793, 82.64590509350},
{ 0.00000003725, 1.68366366742, 683.98946464440},
{ 0.00000003763, 3.28247771799, 432.81796599950},
{ 0.00000003493, 0.98765698465, 9988.94075050910},
{ 0.00000003523, 5.12512607932, 105.38039607900},
{ 0.00000003432, 2.80483162230, 764.18768918310},
{ 0.00000002733, 0.42373696972, 354.99798604640},
{ 0.00000003041, 5.75641149588, 409.92341631960},
{ 0.00000003379, 5.47448876584, 1396.22066897090},
{ 0.00000003102, 0.41684444831, 521.09294538550},
{ 0.00000002863, 0.41519700992, 894.84087952760},
{ 0.00000003128, 5.23384180625, 424.15051032120},
{ 0.00000002688, 3.59170326422, 621.73803904930},
{ 0.00000002848, 2.16605887838, 216.92243216040},
{ 0.00000002673, 1.60411606116, 136.06981631590},
{ 0.00000003414, 4.93712749827, 1140.38330388000},
{ 0.00000002653, 5.10283251074, 118.02244363580},
{ 0.00000002730, 4.22647867347, 990.22940591440},
{ 0.00000003113, 5.23808775951, 417.03696332040},
{ 0.00000003289, 4.26401031509, 544.50875992720},
{ 0.00000003100, 5.47928527930, 701.18550406260},
{ 0.00000002785, 5.19343849093, 144.89733068860},
{ 0.00000002605, 4.82136791856, 362.86229257260},
{ 0.00000003183, 4.76078229245, 294.67297614430},
{ 0.00000003550, 3.82073713802, 511.53171782990},
{ 0.00000002641, 3.49997209213, 293.18850343600},
{ 0.00000002788, 1.54956737675, 28.57180808220},
{ 0.00000002897, 0.37376102831, 582.38116313410},
{ 0.00000002615, 2.25516923974, 74.99404688840},
{ 0.00000003582, 1.27992264402, 987.56927703850},
{ 0.00000003115, 5.10929689813, 459.05396811150},
{ 0.00000002589, 1.83177157042, 657.16276170140},
{ 0.00000002539, 4.14968938109, 74.73341445750},
{ 0.00000002797, 2.82242772664, 2036.86871481030},
{ 0.00000002688, 2.16500211397, 262.80789973980},
{ 0.00000002817, 6.06679932038, 374.49869366750},
{ 0.00000002539, 0.46036497385, 74.82978267710},
{ 0.00000002504, 3.52394801700, 1183.67233305830},
{ 0.00000002565, 1.64023845161, 73.40900044360},
{ 0.00000002663, 4.23321349902, 421.18156490460},
{ 0.00000003019, 1.62290757266, 414.06801790380},
{ 0.00000002793, 2.00644423849, 75.04223099820},
{ 0.00000003253, 2.43153394317, 98.35747180340},
{ 0.00000002883, 2.41875736533, 4.66586644600},
{ 0.00000002553, 1.25909246207, 670.49608382570},
{ 0.00000003135, 1.96936617667, 842.15068148810},
{ 0.00000002604, 3.87350462519, 74.03083904190},
{ 0.00000002510, 3.35948960782, 464.99185894470},
{ 0.00000003050, 1.81077971280, 331.20966448920},
{ 0.00000003005, 0.81031349171, 73.88782669000},
{ 0.00000002701, 5.89709637826, 525.23754696970},
{ 0.00000003110, 6.14956891318, 118.87377689770},
{ 0.00000002774, 6.26134027482, 1022.31267613440},
{ 0.00000002402, 4.38353347008, 1303.27982313890},
{ 0.00000002800, 2.60339313269, 74.52096613640},
{ 0.00000003005, 0.76247280223, 75.67537044460},
{ 0.00000002434, 4.94784679430, 969.62247809490},
{ 0.00000002630, 0.62894209942, 227.52618943960},
{ 0.00000002669, 0.73340228210, 73.08467753790},
{ 0.00000002465, 1.30648773380, 77.06922042770},
{ 0.00000002395, 2.76580569447, 768.85355562910},
{ 0.00000002753, 5.59058621175, 388.72578766910},
{ 0.00000003230, 0.01981320255, 881.50755740330},
{ 0.00000003008, 5.65955463660, 1969.20066324380},
{ 0.00000003008, 0.91409756228, 2118.76386037840},
{ 0.00000002465, 0.26629856014, 72.49397670690},
{ 0.00000002313, 3.37979302623, 286.59622129700},
{ 0.00000002272, 2.77069357318, 515.46387109300},
{ 0.00000002579, 4.80372721669, 103.35340664950},
{ 0.00000002360, 4.12736987374, 74.62153987290},
{ 0.00000002220, 2.17920233841, 491.81856188770},
{ 0.00000002498, 1.19812774743, 383.09671337660},
{ 0.00000002981, 3.15769661969, 1887.30551767570},
{ 0.00000002570, 3.13859674290, 229.08009811710},
{ 0.00000002355, 0.48259604722, 74.94165726170},
{ 0.00000002228, 1.42452148910, 6219.33995168800},
{ 0.00000002184, 5.18000549953, 59.28248017850},
{ 0.00000002319, 2.10326941903, 11.15757484850},
{ 0.00000002724, 3.48225905765, 10.29494073850},
{ 0.00000002162, 3.61282527361, 22.63391724900},
{ 0.00000002232, 3.98572942665, 68.63125941300},
{ 0.00000002390, 2.47806087593, 177.87437278590},
{ 0.00000002199, 0.22998162264, 217.23124870110},
{ 0.00000002915, 5.18526716284, 218.92816973050},
{ 0.00000002875, 2.77889026188, 184.98791978670},
{ 0.00000002865, 0.62015957113, 1411.19852249790},
{ 0.00000002298, 3.95654643159, 26.02355379090},
{ 0.00000002318, 1.21463632824, 291.70403072770},
{ 0.00000002560, 1.48802298081, 1055.44977692610},
{ 0.00000002796, 5.59819583385, 260.99335863140},
{ 0.00000002492, 4.25519394022, 149.45132255000},
{ 0.00000002007, 6.11892578566, 63.62402371880},
{ 0.00000002110, 3.59139003023, 256.42806592190},
{ 0.00000002198, 4.46404375855, 524.06189080210},
{ 0.00000002706, 0.80150714262, 89.00869256890},
{ 0.00000002410, 2.28619111368, 74.26033370550},
{ 0.00000002102, 3.18561308775, 635.96513305090},
{ 0.00000002006, 1.30247563131, 385.75684225250},
{ 0.00000002304, 3.60550712225, 115.88357962170},
{ 0.00000001899, 2.42426868365, 273.85360000370},
{ 0.00000002119, 5.98199852906, 559.69906177530},
{ 0.00000002152, 5.30772822745, 2.00573757010},
{ 0.00000002447, 5.10278930542, 205.22234059070},
{ 0.00000001962, 1.45399000044, 80.41067285980},
{ 0.00000001895, 3.30475087405, 46.47042291600},
{ 0.00000001942, 1.79179369066, 346.39996633730},
{ 0.00000001850, 5.74338030118, 175.16605980020},
{ 0.00000001848, 2.74750349182, 429.77958461370},
{ 0.00000001848, 1.20977525896, 280.21638747910},
{ 0.00000002220, 1.12912931401, 323.50541665740},
{ 0.00000001839, 3.58086367470, 327.43756992050},
{ 0.00000001839, 4.86693953738, 507.59956456680},
{ 0.00000001848, 5.26302620499, 81.68269724700},
{ 0.00000001996, 4.36291795113, 1812.52391910840},
{ 0.00000001893, 0.10622820999, 93.90405367850},
{ 0.00000002368, 2.77235858734, 477.00076705510},
{ 0.00000001891, 2.25571301508, 4.73530241520},
{ 0.00000001792, 1.59759408430, 832.58945393250},
{ 0.00000001792, 3.20129636889, 683.02625679790},
{ 0.00000002092, 0.32766195745, 343.21857259960},
{ 0.00000001792, 5.80267442975, 779.89925589300},
{ 0.00000001726, 3.18023607065, 332.17287233570},
{ 0.00000001831, 3.75183606052, 469.72716135990},
{ 0.00000001831, 5.28956429339, 619.29035849450},
{ 0.00000001721, 0.80119805379, 1432.39615114840},
{ 0.00000001721, 2.33892628665, 1581.95934828300},
{ 0.00000001978, 1.74196451080, 331.32153907380},
{ 0.00000001895, 5.31311179301, 253.57099508990},
{ 0.00000001758, 2.96038070029, 1596.18644228460},
{ 0.00000001758, 1.42265246742, 1446.62324515000},
{ 0.00000002109, 0.73357181364, 758.77106321170},
{ 0.00000001911, 0.46392477628, 1589.07289528380},
{ 0.00000001960, 5.98949067581, 1392.28851570780},
{ 0.00000001960, 1.31000765322, 1242.72531857320},
{ 0.00000001833, 6.18306213718, 535.32003938710},
{ 0.00000002195, 0.42296220916, 703.63318461740},
{ 0.00000001815, 5.00776376696, 255.83736509090},
{ 0.00000001890, 0.32598438166, 221.16340196420},
{ 0.00000001864, 2.68023304080, 405.99126305650},
{ 0.00000002065, 6.09002439734, 763.43692965770},
{ 0.00000002065, 4.55229616447, 613.87373252310},
{ 0.00000001610, 4.91408185660, 115.36231475990},
{ 0.00000001823, 5.54014516908, 357.44566660120},
{ 0.00000001620, 2.90668209411, 609.20786607710},
{ 0.00000001604, 3.64436334999, 30.05628079050},
{ 0.00000001578, 6.12288879129, 423.62924545940},
{ 0.00000001754, 3.29214293116, 1515.77576942480},
{ 0.00000001819, 6.21015313585, 215.43795945210},
{ 0.00000001679, 2.61674435978, 181.05576652360},
{ 0.00000001907, 5.52030331800, 602.98809095360},
{ 0.00000001520, 1.94954212244, 1228.49822457160},
{ 0.00000001520, 0.34583983785, 1378.06142170620},
{ 0.00000001538, 4.79041960434, 543.91805909620},
{ 0.00000001518, 3.84678636307, 14.22709400160},
{ 0.00000001851, 4.61165114292, 774.48262992160},
{ 0.00000001520, 3.24071154201, 39.09624348430},
{ 0.00000001647, 5.88231739154, 398.87771605570},
{ 0.00000001471, 1.35595542925, 481.73606947030},
{ 0.00000001469, 5.56206799884, 301.41401612960},
{ 0.00000001474, 1.58634608266, 274.06604832480},
{ 0.00000001480, 6.05250894033, 194.28851491140},
{ 0.00000001473, 0.67726919761, 539.25219265020},
{ 0.00000001472, 3.07440978254, 50.66320861000},
{ 0.00000001564, 5.43230552977, 459.36278465220},
{ 0.00000001468, 5.20182042843, 130.44074202340},
{ 0.00000001802, 2.75155368399, 30.59879751170},
{ 0.00000001483, 2.08618845205, 69.67378913660},
{ 0.00000001433, 3.35897454068, 267.58564077040},
{ 0.00000001801, 6.06701083819, 210.85141488320},
{ 0.00000001473, 1.65632386952, 1052.26838318840},
{ 0.00000001392, 3.13732434239, 369.08206769610},
{ 0.00000001502, 0.28443439725, 495.96316347190},
{ 0.00000001403, 4.98324477005, 35.68535508300},
{ 0.00000001404, 3.16559098208, 255.57673266000},
{ 0.00000001456, 5.36560710378, 6283.07584999140},
{ 0.00000001412, 0.68968780108, 348.84764689210},
{ 0.00000001589, 4.89344411716, 1366.21257229020},
{ 0.00000001426, 5.72934799733, 335.14181775230},
{ 0.00000001469, 4.66006940636, 893.35640681930},
{ 0.00000001469, 6.26377169094, 743.79320968470},
{ 0.00000001668, 1.29876086261, 1673.25566271230},
{ 0.00000001668, 2.90246314719, 1523.69246557770},
{ 0.00000001526, 5.93140614398, 1662.96072197380},
{ 0.00000001373, 4.85710108204, 61.44827644300},
{ 0.00000001366, 4.78315200862, 470.69036920640},
{ 0.00000001390, 5.76987164020, 79.88940799800},
{ 0.00000001461, 3.00376275716, 632.78373931320},
};
static const struct ln_vsop uranus_radius_r2[RADIUS_R2] = {
{ 0.00022439899, 0.69953310903, 74.78159856730},
{ 0.00004726838, 1.69896897296, 63.73589830340},
{ 0.00001681383, 4.64842242588, 70.84944530420},
{ 0.00001433633, 3.52135281258, 149.56319713460},
{ 0.00001649477, 3.09669484042, 11.04570026390},
{ 0.00000769974, 0.00000000000, 0.00000000000},
{ 0.00000461159, 0.76667185672, 3.93215326310},
{ 0.00000500193, 6.17218448634, 76.26607127560},
{ 0.00000390377, 4.49603136758, 56.62235130260},
{ 0.00000389972, 5.52663268311, 85.82729883120},
{ 0.00000292283, 0.20370820668, 52.69019803950},
{ 0.00000272269, 3.84735375210, 138.51749687070},
{ 0.00000286451, 3.53449822561, 73.29712585900},
{ 0.00000205341, 3.24759155116, 78.71375183040},
{ 0.00000219349, 1.96433948894, 131.40394986990},
{ 0.00000215812, 0.84820922453, 77.96299230500},
{ 0.00000129040, 2.08142441038, 3.18139373770},
{ 0.00000148716, 4.89757177249, 127.47179660680},
{ 0.00000117642, 4.93417950365, 447.79581952650},
{ 0.00000112873, 1.01358614296, 462.02291352810},
{ 0.00000099082, 6.15736951949, 224.34479570190},
{ 0.00000091634, 0.68110922044, 18.15924726470},
{ 0.00000089537, 0.23396296581, 202.25339517410},
{ 0.00000088475, 2.93078580361, 62.25142559510},
{ 0.00000113471, 4.78996247308, 145.63104387150},
{ 0.00000103857, 3.58561861261, 71.60020482960},
{ 0.00000061854, 3.29891157272, 351.81659230870},
{ 0.00000057828, 4.90530751807, 22.09140052780},
{ 0.00000064448, 3.38789169908, 1.48447270830},
{ 0.00000071110, 6.10490045777, 454.90936652730},
{ 0.00000050920, 3.86475363643, 65.22037101170},
{ 0.00000063666, 3.96437325595, 67.66805156650},
{ 0.00000059151, 5.54929939724, 9.56122755560},
{ 0.00000048713, 3.74773116593, 269.92144674060},
{ 0.00000044010, 1.92372120641, 59.80374504030},
{ 0.00000042677, 2.61696151844, 151.04766984290},
{ 0.00000044556, 5.90316779799, 71.81265315070},
{ 0.00000042421, 6.13638530320, 284.14854074220},
{ 0.00000037328, 5.91300114911, 984.60033162190},
{ 0.00000042329, 2.08837866544, 12.53017297220},
{ 0.00000036234, 5.40331180090, 77.75054398390},
{ 0.00000031472, 4.58140053324, 148.07872442630},
{ 0.00000031469, 2.26119541579, 195.13984817330},
{ 0.00000027151, 3.53245541147, 209.36694217490},
{ 0.00000028313, 4.57742211849, 77.22927912210},
{ 0.00000026135, 0.65832277309, 120.35824960600},
{ 0.00000024371, 5.86680470366, 69.36497259590},
{ 0.00000023072, 1.04150250909, 84.34282612290},
{ 0.00000022686, 1.71276605718, 160.60889739850},
{ 0.00000027909, 4.91450005237, 277.03499374140},
{ 0.00000020958, 2.20247784200, 45.57665103870},
{ 0.00000020277, 2.30684759993, 2.44768055480},
{ 0.00000016889, 4.75579457418, 213.29909543800},
{ 0.00000016616, 1.85435119988, 340.77089204480},
{ 0.00000017053, 4.37207842060, 54.17467074780},
{ 0.00000016086, 3.65914337666, 152.74459087230},
{ 0.00000014838, 5.44395102901, 408.43894361130},
{ 0.00000013872, 3.38531100870, 358.93013930950},
{ 0.00000013344, 5.24928235077, 137.03302416240},
{ 0.00000013276, 1.26302583053, 134.58534360760},
{ 0.00000012700, 3.02323882509, 92.94084583200},
{ 0.00000013615, 1.53192294040, 422.66603761290},
{ 0.00000012387, 1.33244915199, 51.20572533120},
{ 0.00000016450, 0.40355823582, 265.98929347750},
{ 0.00000012052, 5.08792165794, 191.20769491020},
{ 0.00000011443, 2.05677650023, 7.11354700080},
{ 0.00000012762, 4.42146478775, 87.31177153950},
{ 0.00000012158, 3.23645294871, 116.42609634290},
{ 0.00000011636, 4.65085291428, 41.64449777560},
{ 0.00000011612, 4.17982719132, 60.55450456570},
{ 0.00000011692, 3.73284551397, 220.41264243880},
{ 0.00000010313, 0.35141402139, 70.32818044240},
{ 0.00000011316, 1.07773417628, 72.33391801250},
{ 0.00000009522, 3.05257396853, 2.96894541660},
{ 0.00000009279, 2.43997351068, 565.11568774670},
{ 0.00000008993, 5.18841032660, 225.82926841020},
{ 0.00000010284, 1.18602188589, 344.70304530790},
{ 0.00000008847, 6.00863947318, 5.41662597140},
{ 0.00000008508, 5.24741470219, 347.88443904560},
{ 0.00000008322, 3.71500823381, 14.97785352700},
{ 0.00000008276, 2.27407098373, 299.12639426920},
{ 0.00000008064, 5.71681525179, 55.13787859430},
{ 0.00000007829, 0.90269701074, 222.86032299360},
{ 0.00000008335, 4.48600419464, 70.11573212130},
{ 0.00000008489, 3.91174796200, 333.65734504400},
{ 0.00000008708, 5.81537952972, 153.49535039770},
{ 0.00000010194, 5.97791997034, 35.16409022120},
{ 0.00000009652, 0.38887666466, 415.55249061210},
{ 0.00000007106, 1.50598488470, 991.71387862270},
{ 0.00000008055, 2.25812279923, 206.18554843720},
{ 0.00000006468, 2.99863142327, 380.12776796000},
{ 0.00000006393, 1.16861809920, 96.87299909510},
{ 0.00000008976, 6.05363032396, 146.38180339690},
{ 0.00000006131, 0.05596259493, 99.16062095550},
{ 0.00000005803, 0.79879069877, 142.44965013380},
{ 0.00000005816, 4.63029217647, 49.50880430180},
{ 0.00000005557, 0.63854330387, 58.10682401090},
{ 0.00000005869, 2.21418083323, 80.19822453870},
{ 0.00000005162, 4.36457872885, 977.48678462110},
{ 0.00000005428, 0.85181859845, 546.95644048200},
{ 0.00000005750, 2.48104577171, 373.01422095920},
{ 0.00000005766, 0.34229026122, 536.80451209540},
{ 0.00000005924, 5.48443563529, 76.47851959670},
{ 0.00000005154, 4.81339702575, 387.24131496080},
{ 0.00000005325, 3.72411790512, 23.57587323610},
{ 0.00000005037, 5.06388596602, 440.68227252570},
{ 0.00000005209, 4.09574144962, 132.88842257820},
{ 0.00000005790, 3.39593613152, 458.09076026500},
{ 0.00000005007, 4.25821411688, 522.57741809380},
{ 0.00000005114, 0.49645581730, 60.76695288680},
{ 0.00000005027, 6.15248489670, 39.61750834610},
{ 0.00000005183, 3.25775152471, 561.18353448360},
{ 0.00000004603, 1.69268338637, 152.53214255120},
{ 0.00000004566, 0.46068888813, 33.13710079170},
{ 0.00000005302, 1.83522660093, 124.29040286910},
{ 0.00000004454, 2.30288945184, 312.45971639350},
{ 0.00000005766, 0.66069155760, 38.13303563780},
{ 0.00000004255, 3.58596694157, 479.28838891550},
{ 0.00000004315, 1.64104755836, 128.95626931510},
{ 0.00000004190, 4.37674804409, 79.23501669220},
{ 0.00000005756, 0.87494010124, 20.60692781950},
{ 0.00000005409, 0.87333646247, 81.89514556810},
{ 0.00000005124, 1.40551554367, 144.14657116320},
{ 0.00000004045, 6.07362424621, 19.64371997300},
{ 0.00000003994, 5.77048046468, 288.08069400530},
{ 0.00000004987, 2.99179430284, 29.20494752860},
{ 0.00000003870, 4.43713601497, 141.69889060840},
{ 0.00000003811, 3.15820960943, 159.12442469020},
{ 0.00000004553, 0.01384318412, 298.23262239190},
{ 0.00000003737, 5.28319518103, 353.30106501700},
{ 0.00000003742, 2.67921642406, 426.59819087600},
{ 0.00000003939, 5.27301148162, 521.09294538550},
{ 0.00000005065, 4.09433474334, 111.43016149680},
{ 0.00000003861, 1.34394383700, 535.32003938710},
{ 0.00000003619, 5.10070043677, 490.33408917940},
{ 0.00000004385, 0.62057680100, 827.17282796110},
{ 0.00000003645, 0.34509016266, 33.67961751290},
{ 0.00000003558, 2.51710360898, 258.87574647670},
{ 0.00000003919, 0.62079541541, 152.01087768940},
{ 0.00000003576, 3.24526237368, 230.56457082540},
{ 0.00000003469, 0.79054323335, 983.11585891360},
{ 0.00000004530, 2.86839686392, 129.91947716160},
{ 0.00000003648, 5.59395544992, 774.48262992160},
{ 0.00000003440, 4.71254994607, 6.90109867970},
{ 0.00000003513, 4.49630054276, 376.19561469690},
{ 0.00000004521, 2.05472247761, 404.50679034820},
{ 0.00000003336, 0.89628904042, 469.13646052890},
{ 0.00000003274, 3.86236880159, 42.53826965290},
{ 0.00000003201, 2.76459652868, 248.72381809010},
{ 0.00000003184, 0.07709843451, 1514.29129671650},
{ 0.00000003783, 5.29835962126, 369.08206769610},
{ 0.00000003119, 1.27526406087, 200.76892246580},
{ 0.00000003266, 2.24754480216, 73.81839072080},
{ 0.00000003055, 2.60120354408, 433.71173787680},
{ 0.00000003051, 4.54953369151, 980.66817835880},
{ 0.00000003472, 4.93521260607, 411.62033734900},
{ 0.00000003531, 4.49372794858, 881.50755740330},
{ 0.00000003284, 5.59170577331, 472.17484191470},
{ 0.00000003049, 3.68906777491, 16.67477455640},
{ 0.00000003015, 6.02967446446, 291.26208774300},
{ 0.00000003755, 3.12587747560, 108.46121608020},
{ 0.00000003467, 2.17484439267, 554.06998748280},
{ 0.00000003138, 0.52367930477, 1094.80665284130},
{ 0.00000003257, 2.49339546514, 451.72797278960},
{ 0.00000002886, 2.44887846041, 135.33610313300},
{ 0.00000002965, 0.39294995530, 25.27279426550},
{ 0.00000002794, 5.32964924523, 125.98732389850},
{ 0.00000002814, 1.70481689541, 639.89728631400},
{ 0.00000002777, 5.94801147914, 89.75945209430},
{ 0.00000002831, 2.52728803131, 867.28046340170},
{ 0.00000002779, 0.48501334493, 305.34616939270},
{ 0.00000002872, 0.77434367967, 486.40193591630},
{ 0.00000002857, 4.71106805785, 218.92816973050},
{ 0.00000003081, 4.10993868704, 146.59425171800},
{ 0.00000002763, 4.27510031656, 350.33211960040},
{ 0.00000003365, 3.67691210011, 661.09491496450},
{ 0.00000002925, 1.43646759644, 381.61224066830},
{ 0.00000002802, 3.11122994722, 216.48048917570},
{ 0.00000002756, 4.62672498840, 1357.61455258110},
{ 0.00000003450, 2.12911756067, 685.47393735270},
{ 0.00000002646, 3.81808560938, 550.88859374510},
{ 0.00000002584, 5.63009428967, 24.37902238820},
{ 0.00000002740, 1.85885336732, 529.69096509460},
{ 0.00000002606, 4.36605237304, 1080.57955883970},
{ 0.00000002438, 3.04265976382, 391.17346822390},
{ 0.00000002446, 5.73846381540, 535.91074021810},
{ 0.00000002471, 4.18140104280, 235.39049596580},
{ 0.00000002568, 1.09886876369, 913.00012679230},
{ 0.00000002346, 1.88690998393, 82.85835341460},
{ 0.00000002301, 0.27116254930, 7.86430652620},
{ 0.00000003053, 5.35047433775, 681.54178408960},
{ 0.00000002290, 2.49218620138, 203.73786788240},
{ 0.00000002325, 0.52844013308, 14.22709400160},
{ 0.00000002258, 0.03156617730, 398.28701522470},
{ 0.00000002160, 6.01811980506, 140.00196957900},
{ 0.00000002328, 3.12607654898, 273.10284047830},
{ 0.00000002139, 4.33383273131, 91.45637312370},
{ 0.00000002723, 1.24464892033, 166.82867252200},
{ 0.00000002053, 4.32434381120, 515.46387109300},
{ 0.00000002398, 5.90144270960, 79.44746501330},
{ 0.00000002222, 4.80208391464, 268.43697403230},
{ 0.00000002310, 0.48180017719, 14.01464568050},
{ 0.00000002022, 5.85402756377, 271.40591944890},
{ 0.00000002521, 3.23111737258, 901.95442652840},
{ 0.00000002369, 2.40985582671, 73.08467753790},
{ 0.00000002034, 0.47496124187, 2043.98226181110},
{ 0.00000001955, 6.21237525891, 384.05992122310},
{ 0.00000001954, 3.38054663002, 820.05928096030},
{ 0.00000001867, 5.32253331194, 31.49256938900},
{ 0.00000002416, 0.06420209890, 419.48464387520},
{ 0.00000001762, 5.77200578500, 1589.07289528380},
{ 0.00000001762, 4.23427755214, 1439.50969814920},
{ 0.00000001925, 0.79521713622, 184.09414790940},
{ 0.00000002204, 0.52846501316, 278.51946644970},
{ 0.00000002228, 4.32684227036, 66.91729204110},
{ 0.00000001679, 5.14179135334, 1059.38193018920},
{ 0.00000001706, 1.54289098759, 234.49672408850},
{ 0.00000001625, 5.07314285147, 100.38446123290},
{ 0.00000001609, 6.16926697458, 1119.18567522950},
{ 0.00000002033, 3.53119363701, 109.94568878850},
{ 0.00000002129, 1.22429037482, 184.72728735580},
{ 0.00000001717, 2.42144217711, 678.36039035190},
{ 0.00000001717, 3.95917040998, 827.92358748650},
{ 0.00000001810, 0.05278694247, 17.26547538740},
{ 0.00000001585, 1.88716701489, 4.45341812490},
{ 0.00000001577, 5.35894329524, 1894.41906467650},
{ 0.00000001523, 3.77627435709, 181.05576652360},
{ 0.00000001534, 0.19778048653, 135.54855145410},
{ 0.00000001506, 2.95864025543, 849.26422848890},
{ 0.00000001506, 1.35493797085, 998.82742562350},
{ 0.00000001722, 5.00518792666, 699.70103135430},
{ 0.00000001722, 3.46745969379, 550.13783421970},
{ 0.00000001643, 5.86122302822, 89.00869256890},
{ 0.00000001520, 1.42254433373, 0.21244832110},
{ 0.00000001529, 0.77073213979, 329.72519178090},
{ 0.00000001458, 5.90775641818, 147.11551657980},
{ 0.00000001792, 1.11686829848, 453.42489381900},
{ 0.00000001498, 2.61145675790, 365.90067395840},
{ 0.00000001793, 2.14241351007, 211.81462272970},
{ 0.00000001580, 5.57997675255, 785.52833018550},
{ 0.00000001580, 4.04224851969, 635.96513305090},
{ 0.00000001835, 4.31480288855, 465.95506679120},
{ 0.00000001407, 4.94842057032, 74.89347315190},
{ 0.00000001403, 5.15016124506, 180.16199464630},
{ 0.00000001420, 2.60452620081, 95.38852638680},
{ 0.00000001383, 5.95287019467, 74.66972398270},
{ 0.00000001382, 2.10457236484, 458.84151979040},
{ 0.00000001513, 1.88475439191, 1051.51762366300},
{ 0.00000001368, 5.67966974902, 66.70484372000},
};
static const struct ln_vsop uranus_radius_r3[RADIUS_R3] = {
{ 0.00001164663, 4.73440180792, 74.78159856730},
{ 0.00000212363, 3.34268349684, 63.73589830340},
{ 0.00000196315, 2.98101237100, 70.84944530420},
{ 0.00000104707, 0.95789279555, 11.04570026390},
{ 0.00000071681, 0.02528295071, 56.62235130260},
{ 0.00000072719, 0.99479831041, 149.56319713460},
{ 0.00000054933, 2.59936585639, 3.93215326310},
{ 0.00000034026, 3.82319495878, 76.26607127560},
{ 0.00000032081, 3.59825177872, 131.40394986990},
{ 0.00000029569, 3.44303690664, 85.82729883120},
{ 0.00000036377, 5.65035573026, 77.96299230500},
{ 0.00000027625, 0.42885477377, 3.18139373770},
{ 0.00000027552, 2.55709855563, 52.69019803950},
{ 0.00000024740, 5.14634979896, 78.71375183040},
{ 0.00000019382, 5.13444064222, 18.15924726470},
{ 0.00000015767, 0.37116951743, 447.79581952650},
{ 0.00000015441, 5.57271837433, 462.02291352810},
{ 0.00000015035, 3.84415419523, 73.29712585900},
{ 0.00000015450, 2.97572514360, 145.63104387150},
{ 0.00000017788, 0.00000000000, 0.00000000000},
{ 0.00000015958, 5.19915553861, 71.60020482960},
{ 0.00000010780, 6.02554585112, 138.51749687070},
{ 0.00000010347, 3.60350847669, 224.34479570190},
{ 0.00000007612, 1.47668980969, 1.48447270830},
{ 0.00000008140, 2.61444086595, 22.09140052780},
{ 0.00000007107, 5.43946774526, 269.92144674060},
{ 0.00000006459, 4.37142319461, 284.14854074220},
{ 0.00000006817, 0.01485937330, 151.04766984290},
{ 0.00000007811, 0.29898229022, 127.47179660680},
{ 0.00000005768, 4.22672716677, 373.01422095920},
{ 0.00000005105, 1.81797461354, 202.25339517410},
{ 0.00000004692, 2.78404575440, 120.35824960600},
{ 0.00000005071, 0.76641679640, 62.25142559510},
{ 0.00000004133, 1.88879300710, 209.36694217490},
{ 0.00000005201, 4.15791319343, 195.13984817330},
{ 0.00000003946, 1.83105030444, 72.33391801250},
{ 0.00000003582, 3.92592140377, 124.29040286910},
{ 0.00000004340, 3.99626115302, 9.56122755560},
{ 0.00000003739, 1.50894993813, 148.07872442630},
{ 0.00000003436, 1.99291271003, 65.22037101170},
{ 0.00000003835, 1.15614639932, 153.49535039770},
{ 0.00000003593, 0.94897593272, 92.94084583200},
{ 0.00000003950, 1.85721204646, 152.74459087230},
{ 0.00000003277, 1.40881404192, 351.81659230870},
{ 0.00000003058, 5.76662885271, 160.60889739850},
{ 0.00000002719, 5.64780369357, 134.58534360760},
{ 0.00000002800, 0.79480255927, 572.22923474750},
{ 0.00000002727, 6.00569967758, 12.53017297220},
{ 0.00000002524, 3.05071097098, 387.24131496080},
{ 0.00000002662, 1.98593312104, 450.97721326420},
{ 0.00000002391, 1.62282528307, 358.93013930950},
{ 0.00000002570, 2.81202618885, 213.29909543800},
{ 0.00000002291, 4.81424601791, 536.80451209540},
{ 0.00000002213, 2.20360299816, 465.95506679120},
{ 0.00000002345, 3.89530188536, 76.47851959670},
{ 0.00000001990, 6.00348345539, 77.22927912210},
{ 0.00000001836, 0.86993337572, 288.08069400530},
{ 0.00000002233, 4.20038854663, 45.57665103870},
{ 0.00000001745, 4.28595550732, 67.66805156650},
{ 0.00000001715, 5.36211200127, 84.34282612290},
{ 0.00000001640, 5.46719808619, 309.27832265580},
{ 0.00000001640, 3.86349580161, 458.84151979040},
{ 0.00000001728, 3.60055588821, 81.89514556810},
{ 0.00000001483, 3.46836166107, 59.80374504030},
{ 0.00000001463, 3.58895839694, 347.88443904560},
{ 0.00000001415, 1.82816992630, 497.44763618020},
{ 0.00000001399, 5.26616832831, 909.81873305460},
{ 0.00000001399, 3.66246604373, 1059.38193018920},
{ 0.00000001401, 4.64442933182, 96.87299909510},
};
static const struct ln_vsop uranus_radius_r4[RADIUS_R4] = {
{ 0.00000053224, 3.00468894529, 74.78159856730},
{ 0.00000009887, 1.91399083603, 56.62235130260},
{ 0.00000007008, 5.08677527404, 11.04570026390},
{ 0.00000006718, 5.39509675772, 149.56319713460},
{ 0.00000003855, 5.18994119112, 131.40394986990},
{ 0.00000003316, 1.22839100759, 85.82729883120},
{ 0.00000002664, 0.44064577837, 63.73589830340},
{ 0.00000002309, 0.92380720934, 145.63104387150},
{ 0.00000002383, 6.21390585593, 358.93013930950},
{ 0.00000002288, 2.23425399117, 440.68227252570},
{ 0.00000002472, 3.28269448244, 18.15924726470},
{ 0.00000002837, 3.14159265359, 0.00000000000},
};
/*! \fn void ln_get_uranus_equ_coords (double JD, struct ln_equ_posn * position);
* \param JD julian Day
* \param position pointer to store position
*
* Calculates uranus's equatorial position for given julian day.
* This function includes calculations for planetary aberration and refers
* to the FK5 reference frame.
*
* To get the complete equatorial coordinates, corrections for nutation
* have to be applied.
*
* The position returned is accurate to within 0.1 arcsecs.
*/
void ln_get_uranus_equ_coords (double JD, struct ln_equ_posn * position)
{
struct ln_helio_posn h_sol, h_uranus;
struct ln_rect_posn g_sol, g_uranus;
double a,b,c;
double ra, dec, delta, diff, last, t = 0;
/* need typdef for solar heliocentric coords */
ln_get_solar_geom_coords (JD, &h_sol);
ln_get_rect_from_helio (&h_sol, &g_sol);
do {
last = t;
ln_get_uranus_helio_coords (JD - t, &h_uranus);
ln_get_rect_from_helio (&h_uranus, &g_uranus);
/* equ 33.10 pg 229 */
a = g_sol.X + g_uranus.X;
b = g_sol.Y + g_uranus.Y;
c = g_sol.Z + g_uranus.Z;
delta = a*a + b*b + c*c;
delta = sqrt (delta);
t = delta * 0.0057755183;
diff = t - last;
} while (diff > 0.0001 || diff < -0.0001);
ra = atan2 (b,a);
dec = c / delta;
dec = asin (dec);
/* back to hours, degrees */
position->ra = ln_range_degrees(ln_rad_to_deg (ra));
position->dec = ln_rad_to_deg (dec);
}
/*! \fn void ln_get_uranus_helio_coords (double JD, struct ln_helio_posn * position)
* \param JD Julian Day
* \param position Pointer to store heliocentric position
*
* Calculate Uranus heliocentric (refered to the centre of the Sun) coordinates
* in the FK5 reference frame for the given julian day.
* Longitude and Latitude are in degrees, whilst radius vector is in AU.
*/
/* Chapter 31 Pg 206-207 Equ 31.1 31.2 , 31.3 using VSOP 87
*/
void ln_get_uranus_helio_coords (double JD, struct ln_helio_posn * position)
{
double t, t2, t3, t4, t5;
double L0, L1, L2, L3, L4;
double B0, B1, B2, B3;
double R0, R1, R2, R3, R4;
/* check cache first */
if (JD == cJD) {
/* cache hit */
position->L = cL;
position->B = cB;
position->R = cR;
return;
}
/* get julian ephemeris day */
t = (JD - 2451545.0) / 365250;
t2 = t * t;
t3 = t2 * t;
t4 = t3 * t;
t5 = t4 * t;
/* calc L series */
L0 = ln_calc_series (uranus_longitude_l0, LONG_L0, t);
L1 = ln_calc_series (uranus_longitude_l1, LONG_L1, t);
L2 = ln_calc_series (uranus_longitude_l2, LONG_L2, t);
L3 = ln_calc_series (uranus_longitude_l3, LONG_L3, t);
L4 = ln_calc_series (uranus_longitude_l4, LONG_L4, t);
position->L = (L0 + L1 * t + L2 * t2 + L3 * t3 + L4 * t4);
/* calc B series */
B0 = ln_calc_series (uranus_latitude_b0, LAT_B0, t);
B1 = ln_calc_series (uranus_latitude_b1, LAT_B1, t);
B2 = ln_calc_series (uranus_latitude_b2, LAT_B2, t);
B3 = ln_calc_series (uranus_latitude_b3, LAT_B3, t);
position->B = (B0 + B1 * t + B2 * t2 + B3 * t3);
/* calc R series */
R0 = ln_calc_series (uranus_radius_r0, RADIUS_R0, t);
R1 = ln_calc_series (uranus_radius_r1, RADIUS_R1, t);
R2 = ln_calc_series (uranus_radius_r2, RADIUS_R2, t);
R3 = ln_calc_series (uranus_radius_r3, RADIUS_R3, t);
R4 = ln_calc_series (uranus_radius_r4, RADIUS_R4, t);
position->R = (R0 + R1 * t + R2 * t2 + R3 * t3 + R4 * t4);
/* change to degrees in correct quadrant */
position->L = ln_rad_to_deg(position->L);
position->B = ln_rad_to_deg(position->B);
position->L = ln_range_degrees(position->L);
/* change to fk5 reference frame */
ln_vsop87_to_fk5 (position, JD);
/* save cache */
cJD = JD;
cL = position->L;
cB = position->B;
cR = position->R;
}
/*! \fn double ln_get_uranus_earth_dist (double JD);
* \param JD Julian day
* \brief Calculate the distance between Uranus and the Earth in AU
* \return Distance in AU
*
* Calculates the distance in AU between the Earth and Uranus for
* the given julian day.
*/
double ln_get_uranus_earth_dist (double JD)
{
struct ln_helio_posn h_uranus, h_earth;
struct ln_rect_posn g_uranus, g_earth;
double x, y, z;
/* get heliocentric positions */
ln_get_uranus_helio_coords (JD, &h_uranus);
ln_get_earth_helio_coords (JD, &h_earth);
/* get geocentric coords */
ln_get_rect_from_helio (&h_uranus, &g_uranus);
ln_get_rect_from_helio (&h_earth, &g_earth);
/* use pythag */
x = g_uranus.X - g_earth.X;
y = g_uranus.Y - g_earth.Y;
z = g_uranus.Z - g_earth.Z;;
x = x * x;
y = y * y;
z = z * z;
return sqrt (x + y + z);
}
/*! \fn double ln_get_uranus_solar_dist (double JD);
* \param JD Julian day
* \brief Calculate the distance between Uranus and the Sun in AU
* \return Distance in AU
*
* Calculates the distance in AU between the Sun and Uranus for
* the given julian day.
*/
double ln_get_uranus_solar_dist (double JD)
{
struct ln_helio_posn h_uranus;
/* get heliocentric position */
ln_get_uranus_helio_coords (JD, &h_uranus);
return h_uranus.R;
}
/*! \fn double ln_get_uranus_magnitude (double JD);
* \param JD Julian day
* \brief Calculate the visible magnitude of Uranus
* \return Visible magnitude of Uranus
*
* Calculate the visible magnitude of Uranus for the given
* julian day.
*/
double ln_get_uranus_magnitude (double JD)
{
double delta, r;
/* get distances */
r = ln_get_uranus_solar_dist (JD);
delta = ln_get_uranus_earth_dist (JD);
return -7.19 + 5 * log10 (r * delta);
}
/*! \fn double ln_get_uranus_disk (double JD);
* \param JD Julian day
* \brief Calculate the illuminated fraction of Uranus disk
* \return Illuminated fraction of Uranus disk
*
* Calculate the illuminated fraction of Uranus's disk for the given Julian
* day.
*/
/* Chapter 41 */
double ln_get_uranus_disk (double JD)
{
double r,delta,R;
/* get distances */
R = ln_get_earth_solar_dist (JD);
r = ln_get_uranus_solar_dist (JD);
delta = ln_get_uranus_earth_dist (JD);
/* calc fraction angle */
return (((r + delta) * (r + delta)) - R * R) / (4 * r * delta);
}
/*! \fn double ln_get_uranus_phase (double JD);
* \param JD Julian day
* \brief Calculate the phase angle of Uranus (Sun - Uranus - Earth)
* \return Phase angle of Uranus (degrees)
*
* Calculates the phase angle of Uranus, that is, the angle Sun -
* Uranus - Earth for the given Julian day.
*/
/* Chapter 41 */
double ln_get_uranus_phase (double JD)
{
double i,r,delta,R;
/* get distances */
R = ln_get_earth_solar_dist (JD);
r = ln_get_uranus_solar_dist (JD);
delta = ln_get_uranus_earth_dist (JD);
/* calc phase */
i = (r * r + delta * delta - R * R) / (2 * r * delta);
i = acos (i);
return ln_rad_to_deg (i);
}
/*! \fn double ln_get_uranus_rst (double JD, struct ln_lnlat_posn * observer, struct ln_rst_time * rst);
* \param JD Julian day
* \param observer Observers position
* \param rst Pointer to store Rise, Set and Transit time in JD
* \return 0 for success, else 1 for circumpolar.
*
* Calculate the time the rise, set and transit (crosses the local meridian at upper culmination)
* time of Uranus for the given Julian day.
*
* Note: this functions returns 1 if Uranus is circumpolar, that is it remains the whole
* day either above or below the horizon.
*/
int ln_get_uranus_rst (double JD, struct ln_lnlat_posn * observer, struct ln_rst_time * rst)
{
return ln_get_body_rst_horizon (JD, observer, ln_get_uranus_equ_coords, LN_STAR_STANDART_HORIZON, rst);
}
/*! \fn double ln_get_uranus_sdiam (double JD)
* \param JD Julian day
* \return Semidiameter in arc seconds
*
* Calculate the semidiameter of Uranus in arc seconds for the
* given julian day.
*/
double ln_get_uranus_sdiam (double JD)
{
double So = 35.02; /* at 1 AU */
double dist;
dist = ln_get_uranus_earth_dist (JD);
return So / dist;
}
/*! \fn void ln_get_uranus_rect_helio (double JD, struct ln_rect_posn * position)
* \param JD Julian day.
* \param position pointer to return position
*
* Calculate Uranus rectangular heliocentric coordinates for the
* given Julian day. Coordinates are in AU.
*/
void ln_get_uranus_rect_helio (double JD, struct ln_rect_posn * position)
{
struct ln_helio_posn uranus;
ln_get_uranus_helio_coords (JD, &uranus);
ln_get_rect_from_helio (&uranus, position);
}