text: /*
  Module : AAVSOP87B_EAR.cpp
  Purpose: Implementation for the algorithms for VSOP87
  Created: PJN / 13-09-2015
  History: PJN / 13-09-2015 1. Initial public release.
  
  Copyright (c) 2015 - 2019 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com)
  
  All rights reserved.
  
  Copyright / Usage Details:
  
  You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise)
  when your product is released in binary form. You are allowed to modify the source code in any way you want
  except you cannot modify the copyright details at the top of each module. If you want to distribute source
  code with your application, then you are only allowed to distribute versions released by the author. This is
  to maintain a single distribution point for the source code.
  
  */
  
  
  /////////////////////////////// Includes //////////////////////////////////////
  
  #include "stdafx.h"
  #include "AAVSOP87.h"
  #include "AAVSOP87B_EAR.h"
  #include <cmath>
  using namespace std;
  
  
  ////////////////////////////// Macros / Defines ///////////////////////////////
  
  #ifdef _MSC_VER
  #pragma warning(disable : 26485)
  #endif //#ifdef _MSC_VER
  
  const VSOP87Coefficient g_VSOP87B_L0_EARTH[] =
  {
    {        1.75347045673,        0.00000000000,        0.00000000000 },
    {        0.03341656453,        4.66925680415,     6283.07584999140 },
    {        0.00034894275,        4.62610242189,    12566.15169998280 },
    {        0.00003417572,        2.82886579754,        3.52311834900 },
    {        0.00003497056,        2.74411783405,     5753.38488489680 },
    {        0.00003135899,        3.62767041756,    77713.77146812050 },
    {        0.00002676218,        4.41808345438,     7860.41939243920 },
    {        0.00002342691,        6.13516214446,     3930.20969621960 },
    {        0.00001273165,        2.03709657878,      529.69096509460 },
    {        0.00001324294,        0.74246341673,    11506.76976979360 },
    {        0.00000901854,        2.04505446477,       26.29831979980 },
    {        0.00001199167,        1.10962946234,     1577.34354244780 },
    {        0.00000857223,        3.50849152283,      398.14900340820 },
    {        0.00000779786,        1.17882681962,     5223.69391980220 },
    {        0.00000990250,        5.23268072088,     5884.92684658320 },
    {        0.00000753141,        2.53339052847,     5507.55323866740 },
    {        0.00000505267,        4.58292599973,    18849.22754997420 },
    {        0.00000492392,        4.20505711826,      775.52261132400 },
    {        0.00000356672,        2.91954114478,        0.06731030280 },
    {        0.00000284125,        1.89869240932,      796.29800681640 },
    {        0.00000242879,        0.34481445893,     5486.77784317500 },
    {        0.00000317087,        5.84901948512,    11790.62908865880 },
    {        0.00000271112,        0.31486255375,    10977.07880469900 },
    {        0.00000206217,        4.80646631478,     2544.31441988340 },
    {        0.00000205478,        1.86953770281,     5573.14280143310 },
    {        0.00000202318,        2.45767790232,     6069.77675455340 },
    {        0.00000126225,        1.08295459501,       20.77539549240 },
    {        0.00000155516,        0.83306084617,      213.29909543800 },
    {        0.00000115132,        0.64544911683,        0.98032106820 },
    {        0.00000102851,        0.63599845579,     4694.00295470760 },
    {        0.00000101724,        4.26679801980,        7.11354700080 },
    {        0.00000099206,        6.20992926918,     2146.16541647520 },
    {        0.00000132212,        3.41118292683,     2942.46342329160 },
    {        0.00000097607,        0.68101342359,      155.42039943420 },
    {        0.00000085128,        1.29870764804,     6275.96230299060 },
    {        0.00000074651,        1.75508913300,     5088.62883976680 },
    {        0.00000101895,        0.97569280312,    15720.83878487840 },
    {        0.00000084711,        3.67080093031,    71430.69561812909 },
    {        0.00000073547,        4.67926633877,      801.82093112380 },
    {        0.00000073874,        3.50319414955,     3154.68708489560 },
    {        0.00000078757,        3.03697458703,    12036.46073488820 },
    {        0.00000079637,        1.80791287082,    17260.15465469040 },
    {        0.00000085803,        5.98322631260,   161000.68573767410 },
    {        0.00000056963,        2.78430458592,     6286.59896834040 },
    {        0.00000061148,        1.81839892984,     7084.89678111520 },
    {        0.00000069627,        0.83297621398,     9437.76293488700 },
    {        0.00000056116,        4.38694865354,    14143.49524243060 },
    {        0.00000062449,        3.97763912806,     8827.39026987480 },
    {        0.00000051145,        0.28306832879,     5856.47765911540 },
    {        0.00000055577,        3.47006059924,     6279.55273164240 },
    {        0.00000041036,        5.36817592855,     8429.24126646660 },
    {        0.00000051605,        1.33282739866,     1748.01641306700 },
    {        0.00000051992,        0.18914947184,    12139.55350910680 },
    {        0.00000049000,        0.48735014197,     1194.44701022460 },
    {        0.00000039200,        6.16833020996,    10447.38783960440 },
    {        0.00000035570,        1.77596889200,     6812.76681508600 },
    {        0.00000036770,        6.04133863162,    10213.28554621100 },
    {        0.00000036596,        2.56957481827,     1059.38193018920 },
    {        0.00000033296,        0.59310278598,    17789.84561978500 },
    {        0.00000035954,        1.70875808777,     2352.86615377180 },
    {        0.00000040938,        2.39850938714,    19651.04848109800 },
    {        0.00000030047,        2.73975124088,     1349.86740965880 },
    {        0.00000030412,        0.44294464169,    83996.84731811189 },
    {        0.00000023663,        0.48473622521,     8031.09226305840 },
    {        0.00000023574,        2.06528133162,     3340.61242669980 },
    {        0.00000021089,        4.14825468851,      951.71840625060 },
    {        0.00000024738,        0.21484762138,        3.59042865180 },
    {        0.00000025352,        3.16470891653,     4690.47983635860 },
    {        0.00000022823,        5.22195230819,     4705.73230754360 },
    {        0.00000021419,        1.42563910473,    16730.46368959580 },
    {        0.00000021891,        5.55594302779,      553.56940284240 },
    {        0.00000017481,        4.56052900312,      135.06508003540 },
    {        0.00000019927,        5.22209149316,    12168.00269657460 },
    {        0.00000019860,        5.77470242235,     6309.37416979120 },
    {        0.00000020300,        0.37133792946,      283.85931886520 },
    {        0.00000014421,        4.19315052005,      242.72860397400 },
    {        0.00000016225,        5.98837767951,    11769.85369316640 },
    {        0.00000015077,        4.19567163370,     6256.77753019160 },
    {        0.00000019124,        3.82219958698,    23581.25817731760 },
    {        0.00000018888,        5.38626892076,   149854.40013480789 },
    {        0.00000014346,        3.72355084422,       38.02767263580 },
    {        0.00000017898,        2.21490566029,    13367.97263110660 },
    {        0.00000012054,        2.62229602614,      955.59974160860 },
    {        0.00000011287,        0.17739329984,     4164.31198961300 },
    {        0.00000013973,        4.40134615007,     6681.22485339960 },
    {        0.00000013621,        1.88934516495,     7632.94325965020 },
    {        0.00000012503,        1.13052412208,        5.52292430740 },
    {        0.00000010498,        5.35909979317,     1592.59601363280 },
    {        0.00000009803,        0.99948172646,    11371.70468975820 },
    {        0.00000009220,        4.57138585348,     4292.33083295040 },
    {        0.00000010327,        6.19982170609,     6438.49624942560 },
    {        0.00000012003,        1.00351462266,      632.78373931320 },
    {        0.00000010827,        0.32734523824,      103.09277421860 },
    {        0.00000008356,        4.53902748706,    25132.30339996560 },
    {        0.00000010005,        6.02914963280,     5746.27133789600 },
    {        0.00000008409,        3.29946177848,     7234.79425624200 },
    {        0.00000008006,        5.82145271855,       28.44918746780 },
    {        0.00000010523,        0.93870455544,    11926.25441366880 },
    {        0.00000007686,        3.12143640640,     7238.67559160000 },
    {        0.00000009378,        2.62413793196,     5760.49843189760 },
    {        0.00000008127,        6.11227839253,     4732.03062734340 },
    {        0.00000009232,        0.48344234496,      522.57741809380 },
    {        0.00000009802,        5.24413877132,    27511.46787353720 },
    {        0.00000007871,        0.99590133077,     5643.17856367740 },
    {        0.00000008123,        6.27053020099,      426.59819087600 },
    {        0.00000009048,        5.33686323585,     6386.16862421000 },
    {        0.00000008621,        4.16537179089,     7058.59846131540 },
    {        0.00000006297,        4.71723143652,     6836.64525283380 },
    {        0.00000007575,        3.97381357237,    11499.65622279280 },
    {        0.00000007756,        2.95728422442,    23013.53953958720 },
    {        0.00000007314,        0.60652522715,    11513.88331679440 },
    {        0.00000005955,        2.87641047954,     6283.14316029419 },
    {        0.00000006534,        5.79046406784,    18073.70493865020 },
    {        0.00000007188,        3.99831461988,       74.78159856730 },
    {        0.00000007346,        4.38582423903,      316.39186965660 },
    {        0.00000005413,        5.39199023275,      419.48464387520 },
    {        0.00000005127,        2.36059551778,    10973.55568635000 },
    {        0.00000007056,        0.32258442532,      263.08392337280 },
    {        0.00000006624,        3.66474165840,    17298.18232732620 },
    {        0.00000006762,        5.91131766896,    90955.55169449610 },
    {        0.00000004938,        5.73672172371,     9917.69687450980 },
    {        0.00000005547,        2.45152589382,    12352.85260454480 },
    {        0.00000005958,        3.32051344660,     6283.00853968860 },
    {        0.00000004471,        2.06386138131,     7079.37385680780 },
    {        0.00000006153,        1.45823347458,   233141.31440436150 },
    {        0.00000004348,        4.42338625285,     5216.58037280140 },
    {        0.00000006124,        1.07494838623,    19804.82729158280 },
    {        0.00000004488,        3.65285033073,      206.18554843720 },
    {        0.00000004020,        0.83995823171,       20.35531939880 },
    {        0.00000005188,        4.06503864016,     6208.29425142410 },
    {        0.00000005307,        0.38216728132,    31441.67756975680 },
    {        0.00000003785,        2.34369213733,        3.88133535800 },
    {        0.00000004497,        3.27230792447,    11015.10647733480 },
    {        0.00000004132,        0.92129851256,     3738.76143010800 },
    {        0.00000003521,        5.97844803610,     3894.18182954220 },
    {        0.00000004215,        1.90601721876,      245.83164622940 },
    {        0.00000003701,        5.03067498875,      536.80451209540 },
    {        0.00000003866,        1.82632980909,    11856.21865142450 },
    {        0.00000003652,        1.01840564429,    16200.77272450120 },
    {        0.00000003390,        0.97784870142,     8635.94200376320 },
    {        0.00000003737,        2.95378919570,     3128.38876509580 },
    {        0.00000003507,        3.71291946317,     6290.18939699220 },
    {        0.00000003086,        3.64646921512,       10.63666534980 },
    {        0.00000003397,        1.10589356888,    14712.31711645800 },
    {        0.00000003334,        0.83684903082,     6496.37494542940 },
    {        0.00000002805,        2.58503711584,    14314.16811304980 },
    {        0.00000003650,        1.08344142571,    88860.05707098669 },
    {        0.00000003388,        3.20182380957,     5120.60114558360 },
    {        0.00000003252,        3.47857474229,     6133.51265285680 },
    {        0.00000002553,        3.94869027260,     1990.74501704100 },
    {        0.00000003520,        2.05559692878,   244287.60000722768 },
    {        0.00000002565,        1.56072409371,    23543.23050468179 },
    {        0.00000002621,        3.85639359951,      266.60704172180 },
    {        0.00000002954,        3.39692614359,     9225.53927328300 },
    {        0.00000002876,        6.02633318445,   154717.60988768269 },
    {        0.00000002395,        1.16130078696,    10984.19235169980 },
    {        0.00000003161,        1.32798862116,    10873.98603048040 },
    {        0.00000003163,        5.08946546862,    21228.39202354580 },
    {        0.00000002361,        4.27212461943,     6040.34724601740 },
    {        0.00000003030,        1.80210001168,    35371.88726597640 },
    {        0.00000002343,        3.57688971514,    10969.96525769820 },
    {        0.00000002618,        2.57870151918,    22483.84857449259 },
    {        0.00000002113,        3.71711179417,    65147.61976813770 },
    {        0.00000002019,        0.81393923319,      170.67287061920 },
    {        0.00000002003,        0.38091017375,     6172.86952877200 },
    {        0.00000002506,        3.74378169126,    10575.40668294180 },
    {        0.00000002381,        0.10581361289,        7.04623669800 },
    {        0.00000001949,        4.86892513469,       36.02786667740 },
    {        0.00000002074,        4.22802468213,     5650.29211067820 },
    {        0.00000001924,        5.59460549844,     6282.09552892320 },
    {        0.00000001949,        1.06999605576,     5230.80746680300 },
    {        0.00000001988,        5.19734705445,     6262.30045449900 },
    {        0.00000001887,        3.74365662683,       23.87843774780 },
    {        0.00000001787,        1.25929659066,    12559.03815298200 },
    {        0.00000001883,        1.90364058477,       15.25247118500 },
    {        0.00000001816,        3.68083794819,    15110.46611986620 },
    {        0.00000001701,        4.41109562589,      110.20632121940 },
    {        0.00000001990,        3.93295788548,     6206.80977871580 },
    {        0.00000002103,        0.75354936681,    13521.75144159140 },
    {        0.00000001774,        0.48750515837,     1551.04522264800 },
    {        0.00000001882,        0.86685462305,    22003.91463486980 },
    {        0.00000001924,        1.22901099088,      709.93304855830 },
    {        0.00000002073,        4.62531597856,     6037.24420376200 },
    {        0.00000001924,        0.60231842492,     6284.05617105960 },
    {        0.00000001596,        3.98332879712,    13916.01910964160 },
    {        0.00000001664,        4.41947015623,     8662.24032356300 },
    {        0.00000001971,        1.04560686192,    18209.33026366019 },
    {        0.00000001942,        4.31335979989,     6244.94281435360 },
    {        0.00000001476,        0.93274523818,     2379.16447357160 },
    {        0.00000001810,        0.49112137707,        1.48447270830 },
    {        0.00000001346,        1.51574753411,     4136.91043351620 },
    {        0.00000001528,        5.61833568587,     6127.65545055720 },
    {        0.00000001791,        3.22191142746,    39302.09696219600 },
    {        0.00000001747,        3.05595292589,    18319.53658487960 },
    {        0.00000001432,        4.51123984264,    20426.57109242200 },
    {        0.00000001695,        0.22049418623,    25158.60171976540 },
    {        0.00000001242,        4.46665354536,    17256.63153634140 },
    {        0.00000001463,        4.69248613506,    14945.31617355440 },
    {        0.00000001205,        1.86911906771,     4590.91018048900 },
    {        0.00000001190,        2.74169967367,    12569.67481833180 },
    {        0.00000001222,        5.18120087481,     5333.90024102160 },
    {        0.00000001390,        5.42888623322,   143571.32428481648 },
    {        0.00000001473,        1.70487100866,    11712.95531823080 },
    {        0.00000001362,        2.61069503292,     6062.66320755260 },
    {        0.00000001148,        6.03008430610,     3634.62102451840 },
    {        0.00000001198,        5.15296117339,    10177.25767953360 },
    {        0.00000001266,        0.11422490557,    18422.62935909819 },
    {        0.00000001411,        1.09910890045,     3496.03282613400 },
    {        0.00000001349,        2.99804623019,    17654.78053974960 },
    {        0.00000001253,        2.79844902576,   167283.76158766550 },
    {        0.00000001311,        1.60941074300,     5481.25491886760 },
    {        0.00000001079,        6.20304501787,        3.28635741780 },
    {        0.00000001181,        1.20653777627,      131.54196168640 },
    {        0.00000001254,        5.45103277799,     6076.89030155420 },
    {        0.00000001036,        2.32136959491,     7342.45778018060 },
    {        0.00000001117,        0.38842340979,      949.17560896980 },
    {        0.00000000966,        3.18352079941,    11087.28512591840 },
    {        0.00000001171,        3.39635167732,    12562.62858163380 },
    {        0.00000001121,        0.72631814699,      220.41264243880 },
    {        0.00000001024,        2.19381113265,    11403.67699557500 },
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    {        0.00000000770,        1.62459252416,     4701.11650170840 },
    {        0.00000000633,        2.20588443066,    25934.12433108940 },
    {        0.00000000760,        4.21317219403,      377.37360791580 },
    {        0.00000000584,        2.13420121623,    10557.59416082380 },
    {        0.00000000572,        0.24649745829,     9779.10867612540 },
    {        0.00000000573,        3.16435264609,      533.21408344360 },
    {        0.00000000685,        3.19344289472,    12146.66705610760 },
    {        0.00000000675,        0.96179234176,    10454.50138660520 },
    {        0.00000000648,        1.46327342554,     6268.84875598980 },
    {        0.00000000589,        2.50543543638,     3097.88382272579 },
    {        0.00000000551,        5.28106257475,     9388.00590941520 },
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    {        0.00000000069,        1.49372677730,    21548.96236929180 },
    {        0.00000000069,        4.73181018058,     8858.31494432060 },
    {        0.00000000077,        0.47683782532,    11520.99686379520 },
    {        0.00000000078,        5.43942630990,    15265.88651930040 },
    {        0.00000000077,        2.53773750372,       76.26607127560 },
    {        0.00000000069,        2.53932635192,     9910.58332750900 },
    {        0.00000000075,        0.15594729210,    23006.42599258639 },
    {        0.00000000078,        2.41004950269,     6393.28217121080 },
    {        0.00000000067,        5.05152846816,    57375.80190084620 },
    {        0.00000000077,        3.91075604860,    24383.07910844140 },
    {        0.00000000067,        0.78239147387,    12779.45079542080 },
    {        0.00000000071,        1.24817900687,    10419.98628350760 },
    {        0.00000000067,        5.77851227760,     6311.52503745920 },
    {        0.00000000061,        2.66705754411,    18852.75066832320 },
    {        0.00000000079,        1.89137330427,     6528.90749622080 },
    {        0.00000000084,        5.11523704221,    50317.20343953080 },
    {        0.00000000059,        3.38290426621,    35707.71008290740 },
    {        0.00000000065,        4.66767908854,    26709.64694241340 },
    {        0.00000000079,        5.59773848156,    71960.38658322369 },
    {        0.00000000061,        3.30733768968,    18845.70443162520 },
    {        0.00000000057,        3.90831298022,     5999.21653112620 },
    {        0.00000000058,        3.92572820333,    30348.88377276700 },
    {        0.00000000061,        0.05695045822,     7856.89627409019 },
    {        0.00000000061,        5.63297960691,     7863.94251078820 },
    {        0.00000000068,        2.53986117507,    20452.86941222180 },
    {        0.00000000053,        5.44021645443,    32370.97899156560 },
    {        0.00000000059,        4.95695131145,    11925.27409260060 },
    {        0.00000000059,        5.34668243273,   137288.24843482510 },
    {        0.00000000056,        4.05779957425,    17892.93839400359 },
    {        0.00000000053,        3.94182462468,    18624.88275427230 },
    {        0.00000000049,        2.11782803206,    22594.05489571199 },
    {        0.00000000062,        2.47154086715,    12345.73905754400 },
    {        0.00000000049,        5.76596937380,    18606.49894600020 },
    {        0.00000000052,        6.20902099741,    21947.11137270000 },
    {        0.00000000051,        3.13287981215,    33326.57873317420 },
    {        0.00000000057,        6.17003357597,    61306.01159706580 },
    {        0.00000000064,        5.66596451842,    34596.36465465240 },
    {        0.00000000066,        3.92262335500,    69853.35207568129 },
    {        0.00000000053,        5.51119362049,    77710.24834977149 },
    {        0.00000000053,        4.88573986965,    77717.29458646949 },
    {        0.00000000048,        2.71399112516,    20760.42703319140 },
    {        0.00000000046,        6.08376164442,    29822.78323632420 },
    {        0.00000000052,        0.31397481380,    37724.75341974820 },
    {        0.00000000045,        5.53587248663,     6262.72053059260 },
    {        0.00000000059,        2.45437896854,    69166.43098950500 },
    {        0.00000000060,        5.24261569842,    56600.27928952220 },
    {        0.00000000051,        6.15794342172,    11616.97609101300 },
    {        0.00000000060,        1.74758109828,    44034.12758953940 },
    {        0.00000000049,        5.08973141046,    33990.61834428620 },
    {        0.00000000044,        3.28270864884,    29424.63423291600 },
    {        0.00000000052,        5.34866947943,    28313.28880466100 },
    {        0.00000000059,        2.12384971916,    36173.70819710020 },
    {        0.00000000050,        0.46480931695,    25287.72379939980 },
    {        0.00000000044,        2.05503517210,    63658.87775083760 },
    {        0.00000000044,        1.71009200258,    13362.44970679920 },
    {        0.00000000041,        3.91721318316,     6279.19451463340 },
    {        0.00000000042,        1.52106001448,    23550.34405168259 },
    {        0.00000000042,        3.10938258068,    84672.47584450469 },
    {        0.00000000041,        3.78863023321,    35050.00027447539 },
    {        0.00000000042,        5.57543459263,    38500.27603107220 },
    {        0.00000000040,        5.55145719363,    12565.17137891460 },
    {        0.00000000054,        0.88935492100,    50290.90511973100 },
    {        0.00000000055,        2.50268487636,    77828.67131306800 },
    {        0.00000000054,        4.16257918787,    22910.44676536859 },
    {        0.00000000041,        2.32141215064,     6286.95718534940 },
    {        0.00000000045,        3.18590576311,    45585.17281218740 },
    {        0.00000000045,        2.24348941683,    23646.32327890039 },
    {        0.00000000043,        3.87892110950,     6549.68289171320 },
    {        0.00000000048,        2.11364139445,    31570.79964939120 },
    {        0.00000000043,        5.55099558987,    12359.96615154560 },
    {        0.00000000041,        4.88191569433,    23536.11695768099 },
    {        0.00000000049,        2.44790922235,    13613.80427733600 },
    {        0.00000000047,        3.58181693910,     4797.09572892620 }
  };
  
  const VSOP87Coefficient g_VSOP87B_L1_EARTH[] =
  {
    {     6283.07584999140,        0.00000000000,        0.00000000000 },
    {        0.00206058863,        2.67823455808,     6283.07584999140 },
    {        0.00004303419,        2.63512233481,    12566.15169998280 },
    {        0.00000425264,        1.59046982018,        3.52311834900 },
    {        0.00000109017,        2.96631010675,     1577.34354244780 },
    {        0.00000093479,        2.59211109542,    18849.22754997420 },
    {        0.00000119305,        5.79555765566,       26.29831979980 },
    {        0.00000072121,        1.13840581212,      529.69096509460 },
    {        0.00000067784,        1.87453300345,      398.14900340820 },
    {        0.00000067350,        4.40932832004,     5507.55323866740 },
    {        0.00000059045,        2.88815790631,     5223.69391980220 },
    {        0.00000055976,        2.17471740035,      155.42039943420 },
    {        0.00000045411,        0.39799502896,      796.29800681640 },
    {        0.00000036298,        0.46875437227,      775.52261132400 },
    {        0.00000028962,        2.64732254645,        7.11354700080 },
    {        0.00000019097,        1.84628376049,     5486.77784317500 },
    {        0.00000020844,        5.34138275149,        0.98032106820 },
    {        0.00000018508,        4.96855179468,      213.29909543800 },
    {        0.00000016233,        0.03216587315,     2544.31441988340 },
    {        0.00000017293,        2.99116760630,     6275.96230299060 },
    {        0.00000015832,        1.43049301283,     2146.16541647520 },
    {        0.00000014608,        1.20469793690,    10977.07880469900 },
    {        0.00000011877,        3.25805082007,     5088.62883976680 },
    {        0.00000011514,        2.07502080082,     4694.00295470760 },
    {        0.00000009721,        4.23925865260,     1349.86740965880 },
    {        0.00000009969,        1.30263423409,     6286.59896834040 },
    {        0.00000009452,        2.69956827011,      242.72860397400 },
    {        0.00000012461,        2.83432282119,     1748.01641306700 },
    {        0.00000011808,        5.27379760438,     1194.44701022460 },
    {        0.00000008577,        5.64476085980,      951.71840625060 },
    {        0.00000010641,        0.76614722966,      553.56940284240 },
    {        0.00000007576,        5.30056172859,     2352.86615377180 },
    {        0.00000005764,        1.77228445837,     1059.38193018920 },
    {        0.00000006385,        2.65034514038,     9437.76293488700 },
    {        0.00000005223,        5.66135782131,    71430.69561812909 },
    {        0.00000005315,        0.91110018969,     3154.68708489560 },
    {        0.00000006101,        4.66633726278,     4690.47983635860 },
    {        0.00000004335,        0.23934560382,     6812.76681508600 },
    {        0.00000005041,        1.42489704722,     6438.49624942560 },
    {        0.00000004259,        0.77355543889,    10447.38783960440 },
    {        0.00000005200,        1.85528830215,      801.82093112380 },
    {        0.00000003744,        2.00119905572,     8031.09226305840 },
    {        0.00000003553,        2.42789590229,    14143.49524243060 },
    {        0.00000003372,        3.86210786421,     1592.59601363280 },
    {        0.00000003380,        0.88545388924,    12036.46073488820 },
    {        0.00000003196,        3.19713328141,     4705.73230754360 },
    {        0.00000003221,        0.61601048990,     8429.24126646660 },
    {        0.00000004132,        5.23992584671,     7084.89678111520 },
    {        0.00000002970,        6.07029819073,     4292.33083295040 },
    {        0.00000002900,        2.32464208411,       20.35531939880 },
    {        0.00000003504,        4.79976712702,     6279.55273164240 },
    {        0.00000002950,        1.43108874817,     5746.27133789600 },
    {        0.00000002697,        4.80365209201,     7234.79425624200 },
    {        0.00000002531,        6.22289990904,     6836.64525283380 },
    {        0.00000002745,        0.93466065396,     5760.49843189760 },
    {        0.00000003250,        3.39951915286,     7632.94325965020 },
    {        0.00000002278,        5.00339914806,    17789.84561978500 },
    {        0.00000002076,        3.95551309007,    10213.28554621100 },
    {        0.00000002061,        2.22407719190,     5856.47765911540 },
    {        0.00000002252,        5.67166717686,    11499.65622279280 },
    {        0.00000002148,        5.20182663314,    11513.88331679440 },
    {        0.00000001886,        0.53198539077,     3340.61242669980 },
    {        0.00000001875,        4.73511969924,    83996.84731811189 },
    {        0.00000002060,        2.54985307819,    25132.30339996560 },
    {        0.00000001794,        1.47435300254,     4164.31198961300 },
    {        0.00000001778,        3.02473091781,        5.52292430740 },
    {        0.00000002036,        0.90908165072,     6256.77753019160 },
    {        0.00000002064,        2.27051326957,      522.57741809380 },
    {        0.00000001773,        3.03090500693,     5753.38488489680 },
    {        0.00000001569,        6.12406216872,     5216.58037280140 },
    {        0.00000001590,        4.63713748247,        3.28635741780 },
    {        0.00000001533,        4.20305593883,    13367.97263110660 },
    {        0.00000001427,        1.19087535126,     3894.18182954220 },
    {        0.00000001376,        4.24955891338,      426.59819087600 },
    {        0.00000001375,        3.09301252193,      135.06508003540 },
    {        0.00000001308,        3.08492138890,     5643.17856367740 },
    {        0.00000001340,        5.76513167968,     6040.34724601740 },
    {        0.00000001250,        3.07748196332,    11926.25441366880 },
    {        0.00000001551,        3.07664090662,     6681.22485339960 },
    {        0.00000001148,        3.24144202282,    12168.00269657460 },
    {        0.00000001268,        2.09201189992,     6290.18939699220 },
    {        0.00000001248,        3.44506939791,      536.80451209540 },
    {        0.00000001118,        2.31830078762,    16730.46368959580 },
    {        0.00000001105,        5.31966001019,       23.87843774780 },
    {        0.00000001012,        3.74953487087,     7860.41939243920 },
    {        0.00000001025,        2.44683771610,     1990.74501704100 },
    {        0.00000000962,        0.81771017882,        3.88133535800 },
    {        0.00000000911,        0.41724352112,     7079.37385680780 },
    {        0.00000001091,        3.98233608618,    11506.76976979360 },
    {        0.00000000957,        4.07671436153,     6127.65545055720 },
    {        0.00000000835,        5.28348689371,    11790.62908865880 },
    {        0.00000000802,        3.88779080089,    10973.55568635000 },
    {        0.00000000773,        2.41044394817,     1589.07289528380 },
    {        0.00000000758,        1.30034365873,      103.09277421860 },
    {        0.00000000749,        4.96281442361,     6496.37494542940 },
    {        0.00000000765,        3.36312388424,       36.02786667740 },
    {        0.00000000915,        5.41549763095,      206.18554843720 },
    {        0.00000000776,        2.57589060224,    11371.70468975820 },
    {        0.00000000772,        3.98363364977,      955.59974160860 },
    {        0.00000000749,        5.17900231417,    10969.96525769820 },
    {        0.00000000806,        0.34226117299,     9917.69687450980 },
    {        0.00000000728,        5.20962563787,       38.02767263580 },
    {        0.00000000685,        2.77592961854,       20.77539549240 },
    {        0.00000000636,        4.28242193632,       28.44918746780 },
    {        0.00000000608,        5.63278510221,    10984.19235169980 },
    {        0.00000000704,        5.60739437733,     3738.76143010800 },
    {        0.00000000685,        0.38876148682,       15.25247118500 },
    {        0.00000000601,        0.73489602442,      419.48464387520 },
    {        0.00000000716,        2.65286869987,     6309.37416979120 },
    {        0.00000000584,        5.54508741381,    17298.18232732620 },
    {        0.00000000628,        1.11733054796,     7058.59846131540 },
    {        0.00000000688,        2.59684132401,     3496.03282613400 },
    {        0.00000000485,        0.44470714066,    12352.85260454480 },
    {        0.00000000562,        2.82510352358,     3930.20969621960 },
    {        0.00000000597,        5.27675789973,    10575.40668294180 },
    {        0.00000000583,        3.18931539860,     4732.03062734340 },
    {        0.00000000526,        5.01737745304,     5884.92684658320 },
    {        0.00000000540,        1.29182747488,      640.87760738220 },
    {        0.00000000481,        5.49721461067,     5230.80746680300 },
    {        0.00000000406,        5.21253018484,      220.41264243880 },
    {        0.00000000395,        1.87489912123,    16200.77272450120 },
    {        0.00000000367,        0.88533542945,     6283.14316029419 },
    {        0.00000000369,        3.84778078192,    18073.70493865020 },
    {        0.00000000379,        0.37991716505,    10177.25767953360 },
    {        0.00000000356,        3.84152910109,    11712.95531823080 },
    {        0.00000000374,        5.01577520608,        7.04623669800 },
    {        0.00000000381,        4.30250406634,     6062.66320755260 },
    {        0.00000000471,        0.86388942467,     6069.77675455340 },
    {        0.00000000367,        1.32943839930,     6283.00853968860 },
    {        0.00000000460,        5.19667219582,     6284.05617105960 },
    {        0.00000000333,        5.54250425107,     4686.88940770680 },
    {        0.00000000341,        4.36524495363,     7238.67559160000 },
    {        0.00000000336,        4.00205876835,     3097.88382272579 },
    {        0.00000000359,        6.22679790284,      245.83164622940 },
    {        0.00000000307,        2.35299010924,      170.67287061920 },
    {        0.00000000343,        3.77164927142,     6076.89030155420 },
    {        0.00000000296,        5.44138799494,    17260.15465469040 },
    {        0.00000000328,        0.13817705132,    11015.10647733480 },
    {        0.00000000269,        1.13308244952,    12569.67481833180 },
    {        0.00000000263,        0.00550737510,     4136.91043351620 },
    {        0.00000000282,        5.04399588559,     7477.52286021600 },
    {        0.00000000280,        3.13703211405,    12559.03815298200 },
    {        0.00000000259,        0.93882269388,     5642.19824260920 },
    {        0.00000000292,        1.98426314297,    12132.43996210600 },
    {        0.00000000247,        3.84244798673,     5429.87946823940 },
    {        0.00000000319,        5.04170148790,    90617.73743129970 },
    {        0.00000000245,        5.70469737024,    65147.61976813770 },
    {        0.00000000318,        1.35581968834,    78051.58573131690 },
    {        0.00000000241,        0.99469787369,     3634.62102451840 },
    {        0.00000000246,        3.06168069393,      110.20632121940 },
    {        0.00000000239,        6.11854529589,    11856.21865142450 },
    {        0.00000000267,        0.65297608414,    21228.39202354580 },
    {        0.00000000262,        1.51070507866,    12146.66705610760 },
    {        0.00000000230,        1.75923794017,     9779.10867612540 },
    {        0.00000000223,        2.00967043606,     6172.86952877200 },
    {        0.00000000246,        1.10411690861,     6282.09552892320 },
    {        0.00000000214,        4.03840492266,    14314.16811304980 },
    {        0.00000000212,        2.13695623228,     5849.36411211460 },
    {        0.00000000207,        3.07724246401,       11.72935283600 },
    {        0.00000000207,        6.10303325026,    23543.23050468179 },
    {        0.00000000266,        1.00720021877,     2388.89402044920 },
    {        0.00000000217,        6.27840212312,    17267.26820169119 },
    {        0.00000000231,        5.37372783468,    13916.01910964160 },
    {        0.00000000204,        2.34615348695,      266.60704172180 },
    {        0.00000000195,        5.55015549753,     6133.51265285680 },
    {        0.00000000203,        4.65616806503,    24072.92146977640 },
    {        0.00000000188,        2.52682282169,     6525.80445396540 },
    {        0.00000000177,        1.73426919199,   154717.60988768269 },
    {        0.00000000187,        4.76501318048,     4535.05943692440 },
    {        0.00000000186,        4.63080493407,    10440.27429260360 },
    {        0.00000000183,        3.20060840641,     8635.94200376320 },
    {        0.00000000172,        1.45551703877,     9225.53927328300 },
    {        0.00000000162,        3.30665137166,      639.89728631400 },
    {        0.00000000168,        2.17671416605,       27.40155609680 },
    {        0.00000000160,        1.68168712750,    15110.46611986620 },
    {        0.00000000194,        2.79243768345,     7342.45778018060 },
    {        0.00000000183,        0.56273524797,    13517.87010623340 },
    {        0.00000000172,        5.97039514134,     4701.11650170840 },
    {        0.00000000179,        3.58450811616,       87.30820453981 },
    {        0.00000000152,        2.84070476839,     5650.29211067820 },
    {        0.00000000156,        1.07156076421,    18319.53658487960 },
    {        0.00000000182,        0.44053620124,    17253.04110768959 },
    {        0.00000000142,        1.46290137520,    11087.28512591840 },
    {        0.00000000131,        5.40912137746,     2699.73481931760 },
    {        0.00000000144,        2.07312089638,    25158.60171976540 },
    {        0.00000000147,        6.15107800602,     9623.68827669120 },
    {        0.00000000141,        5.55739979498,    10454.50138660520 },
    {        0.00000000135,        0.06098129430,    16723.35014259500 },
    {        0.00000000123,        5.81194797368,    17256.63153634140 },
    {        0.00000000124,        2.36269386269,     4933.20844033260 },
    {        0.00000000126,        3.47483886466,    22483.84857449259 },
    {        0.00000000159,        5.63944722033,     5729.50644714900 },
    {        0.00000000137,        1.93811728826,    20426.57109242200 },
    {        0.00000000123,        3.92815962825,    17996.03116822220 },
    {        0.00000000148,        3.02542567608,     1551.04522264800 },
    {        0.00000000121,        0.05537321071,    13095.84266507740 },
    {        0.00000000120,        5.91904349732,     6206.80977871580 },
    {        0.00000000134,        3.11122937825,    21954.15760939799 },
    {        0.00000000119,        5.52143897201,      709.93304855830 },
    {        0.00000000122,        3.00840036775,    19800.94595622480 },
    {        0.00000000127,        1.37534182407,    14945.31617355440 },
    {        0.00000000141,        2.56886299638,     1052.26838318840 },
    {        0.00000000123,        2.83671175442,    11919.14086666800 },
    {        0.00000000118,        0.81918292547,     5331.35744374080 },
    {        0.00000000151,        2.68728567951,    11769.85369316640 },
    {        0.00000000119,        5.08654046247,     5481.25491886760 },
    {        0.00000000113,        4.42675663942,    18422.62935909819 },
    {        0.00000000153,        2.46021790779,    11933.36796066960 },
    {        0.00000000108,        1.04936452151,    11403.67699557500 },
    {        0.00000000128,        0.99810456461,     8827.39026987480 },
    {        0.00000000144,        2.54869747042,      227.47613278900 },
    {        0.00000000150,        4.50631437136,     2379.16447357160 },
    {        0.00000000109,        0.29269062317,    16737.57723659660 },
    {        0.00000000122,        4.23040027813,       29.42950853600 },
    {        0.00000000111,        5.16970710025,    17782.73207278420 },
    {        0.00000000105,        1.61738153441,    13119.72110282519 },
    {        0.00000000100,        3.52204690579,    18052.92954315780 },
    {        0.00000000108,        1.08493117155,    16858.48253293320 },
    {        0.00000000135,        3.20160616970,     6262.30045449900 },
    {        0.00000000106,        1.96085069786,       74.78159856730 },
    {        0.00000000129,        4.85949366504,    16496.36139620240 },
    {        0.00000000110,        2.30605777952,    16460.33352952499 },
    {        0.00000000097,        3.50918940210,     5333.90024102160 },
    {        0.00000000099,        3.56417337974,      735.87651353180 },
    {        0.00000000096,        3.40918487598,    15720.83878487840 },
    {        0.00000000094,        5.01601027363,     3128.38876509580 },
    {        0.00000000097,        1.65579893894,      533.21408344360 },
    {        0.00000000092,        0.89219199493,    29296.61538957860 },
    {        0.00000000123,        3.16062062663,     9380.95967271720 },
    {        0.00000000102,        1.20493500565,    23020.65308658799 },
    {        0.00000000088,        2.21265504437,    12721.57209941700 },
    {        0.00000000089,        1.54322669570,    20199.09495963300 },
    {        0.00000000121,        6.19860353182,     9388.00590941520 },
    {        0.00000000089,        4.08082274765,    22805.73556599360 },
    {        0.00000000098,        1.09176668094,    12043.57428188900 },
    {        0.00000000086,        1.13649001466,   143571.32428481648 },
    {        0.00000000088,        5.96980472191,      107.66352393860 },
    {        0.00000000082,        5.01561173481,    22003.91463486980 },
    {        0.00000000094,        1.69615700473,    23006.42599258639 },
    {        0.00000000081,        3.00664741995,     2118.76386037840 },
    {        0.00000000098,        1.39215287161,     8662.24032356300 },
    {        0.00000000080,        5.16340988714,    17796.95916678580 },
    {        0.00000000082,        5.86893959287,     2787.04302385740 },
    {        0.00000000077,        0.80723694712,   167283.76158766550 },
    {        0.00000000091,        5.74902425304,    21424.46664430340 },
    {        0.00000000076,        5.67183650604,       14.22709400160 },
    {        0.00000000081,        6.16619455699,     1039.02661079040 },
    {        0.00000000076,        3.21449884756,      111.18664228760 },
    {        0.00000000078,        1.37531518377,    21947.11137270000 },
    {        0.00000000074,        3.58814195051,    11609.86254401220 },
    {        0.00000000077,        4.84846488388,    22743.40937951640 },
    {        0.00000000090,        1.48869013606,    15671.08175940660 },
    {        0.00000000082,        3.48618398216,    29088.81141598500 },
    {        0.00000000071,        2.21591561190,    12029.34718788740 },
    {        0.00000000069,        1.93625656075,      135.62532501000 },
    {        0.00000000070,        2.66552760898,    18875.52586977400 },
    {        0.00000000069,        5.41478093731,    26735.94526221320 },
    {        0.00000000079,        5.15158156951,    12323.42309600880 },
    {        0.00000000078,        4.17014063638,     1066.49547719000 },
    {        0.00000000065,        5.64584720343,    12139.55350910680 },
    {        0.00000000071,        3.89804774037,    22779.43724619380 },
    {        0.00000000063,        4.53968787714,     8982.81066930900 },
    {        0.00000000076,        3.29088891716,     2942.46342329160 },
    {        0.00000000069,        0.94232113005,    14919.01785375460 },
    {        0.00000000063,        4.09186535490,    16062.18452611680 },
    {        0.00000000065,        3.34580407184,       51.28033786241 },
    {        0.00000000065,        5.75757544877,    52670.06959330260 },
    {        0.00000000057,        5.25050277534,    20995.39296644940 },
    {        0.00000000061,        1.92290673861,     6805.65326808520 },
    {        0.00000000061,        0.08878901558,    13362.44970679920 },
    {        0.00000000076,        1.86947679415,    25287.72379939980 },
    {        0.00000000056,        4.25396542622,     6709.67404086740 },
    {        0.00000000058,        4.79429715781,     6286.36220740920 },
    {        0.00000000073,        0.53299090807,     2301.58581590939 },
    {        0.00000000070,        4.31243357502,    19402.79695281660 },
    {        0.00000000067,        2.53852336668,      377.37360791580 },
    {        0.00000000056,        3.20816844695,    24889.57479599160 },
    {        0.00000000054,        5.17336469511,    26084.02180621620 },
    {        0.00000000053,        3.17675406016,    18451.07854656599 },
    {        0.00000000053,        3.61529270216,       77.67377042800 },
    {        0.00000000053,        0.45467549335,    30666.15495843280 },
    {        0.00000000053,        2.97761644192,    21548.96236929180 },
    {        0.00000000061,        0.14805728543,    23013.53953958720 },
    {        0.00000000051,        3.32803972907,       56.89837493560 },
    {        0.00000000052,        3.41304011355,    23141.55838292460 },
    {        0.00000000058,        3.13638677202,      309.27832265580 },
    {        0.00000000054,        1.60896548545,    13341.67431130680 },
    {        0.00000000053,        5.81426394852,    16193.65917750039 },
    {        0.00000000067,        6.27917920454,    22345.26037610820 },
    {        0.00000000050,        0.42577644151,    25685.87280280800 },
    {        0.00000000048,        0.70204553352,     1162.47470440780 },
    {        0.00000000066,        3.64350022359,    15265.88651930040 },
    {        0.00000000050,        5.74382917440,       19.66976089979 },
    {        0.00000000054,        1.97277370837,    23581.25817731760 },
    {        0.00000000051,        1.23713196525,    12539.85338018300 },
    {        0.00000000046,        5.41431704639,    33019.02111220460 },
    {        0.00000000046,        4.80640843261,    19651.04848109800 },
    {        0.00000000050,        1.23847511223,    22476.73502749179 },
    {        0.00000000051,        4.91913434178,    12592.45001978260 },
    {        0.00000000046,        2.41369976086,    98068.53671630539 },
    {        0.00000000045,        3.45227074337,    30774.50164257480 },
    {        0.00000000045,        4.39659083856,      433.71173787680 },
    {        0.00000000045,        3.71921056816,    18209.33026366019 },
    {        0.00000000044,        2.47683925106,    24356.78078864160 },
    {        0.00000000049,        2.17835058609,    13521.75144159140 },
    {        0.00000000046,        0.26142733448,       11.04570026390 },
    {        0.00000000045,        2.46230645202,    51868.24866217880 },
    {        0.00000000043,        4.29458463014,    28230.18722269139 },
    {        0.00000000048,        0.89551707131,    56600.27928952220 },
    {        0.00000000042,        3.63410684699,     4590.91018048900 },
    {        0.00000000049,        3.17757670967,     6303.85124548380 },
    {        0.00000000043,        4.93350349236,    10021.83728009940 },
    {        0.00000000052,        3.65410195699,     7872.14874527520 },
    {        0.00000000041,        4.82166756935,    10988.80815753500 },
    {        0.00000000040,        1.81891629936,    34596.36465465240 },
    {        0.00000000043,        1.94164978061,     1903.43681250120 },
    {        0.00000000041,        0.74461854136,    23937.85638974100 },
    {        0.00000000045,        5.45575017530,    60530.48898574180 },
    {        0.00000000050,        5.67355640472,    18216.44381066100 },
    {        0.00000000040,        0.04502010161,    38526.57435087200 },
    {        0.00000000053,        3.64807615995,    11925.27409260060 },
    {        0.00000000042,        5.19292937193,    19004.64794940840 },
    {        0.00000000041,        0.94309683296,     9924.81042151060 },
    {        0.00000000039,        4.61184303844,       95.97922721780 },
    {        0.00000000049,        2.05532526216,    12573.26524698360 },
    {        0.00000000045,        3.73717824543,     7875.67186362420 },
    {        0.00000000043,        1.14078465002,       49.75702547180 },
    {        0.00000000039,        1.70539366023,    32217.20018108080 },
    {        0.00000000037,        1.29390383811,      310.84079886840 },
    {        0.00000000038,        0.95970925950,      664.75604513000 },
    {        0.00000000039,        0.85957361635,    16522.65971600220 },
    {        0.00000000040,        1.00170796001,    36949.23080842420 },
    {        0.00000000040,        3.78164718776,    55798.45835839840 },
    {        0.00000000037,        5.42237070904,     6286.66627864320 },
    {        0.00000000036,        1.68167662194,    10344.29506538580 },
    {        0.00000000040,        5.13217319067,    15664.03552270859 },
    {        0.00000000049,        3.62741283878,    77713.77146812050 },
    {        0.00000000045,        6.15877872538,    28286.99048486120 },
    {        0.00000000036,        3.32158458257,    16207.88627150200 },
    {        0.00000000035,        5.83917764292,     6321.10352262720 },
    {        0.00000000036,        1.80784164083,     6279.78949257360 },
    {        0.00000000035,        4.60279245362,    28237.23345938940 },
    {        0.00000000033,        0.47301775923,    18635.92845453620 },
    {        0.00000000035,        4.36571027474,    48739.85989708300 },
    {        0.00000000031,        3.06828028412,     6819.88036208680 },
    {        0.00000000031,        2.40203198480,    28628.33622609960 },
    {        0.00000000034,        1.90096411242,    12964.30070339100 },
    {        0.00000000029,        6.09291010354,    18606.49894600020 },
    {        0.00000000028,        3.42046112698,     6288.59877429880 },
    {        0.00000000028,        3.43736140600,    34115.11406927460 },
    {        0.00000000029,        1.48920816078,     6489.26139842860 },
    {        0.00000000028,        3.07474749886,    29822.78323632420 },
    {        0.00000000038,        2.44608264663,    31415.37924995700 },
    {        0.00000000028,        2.98392582088,     6277.55292568400 },
    {        0.00000000027,        5.03556015623,    12779.45079542080 },
    {        0.00000000027,        5.40812977287,    26087.90314157420 },
    {        0.00000000038,        5.56439937893,    27832.03821928320 },
    {        0.00000000026,        3.87685883153,     6262.72053059260 },
    {        0.00000000027,        6.15565392840,    28759.81087748319 },
    {        0.00000000025,        5.17122153205,     6915.85958930460 },
    {        0.00000000027,        4.03132006944,     9910.58332750900 },
    {        0.00000000033,        3.97763407373,    12410.73130054860 },
    {        0.00000000024,        5.31307120044,    29026.48522950779 },
    {        0.00000000025,        0.81055213297,    36173.70819710020 },
    {        0.00000000024,        1.28706101310,    24491.42579258340 },
    {        0.00000000021,        2.02548478742,    28766.92442448400 },
    {        0.00000000021,        6.07545114034,    18139.29450141590 },
    {        0.00000000022,        2.31199937131,     6303.43116939020 },
    {        0.00000000023,        1.35235057478,    49515.38250840700 },
    {        0.00000000023,        2.92765926961,    65236.22129328540 },
    {        0.00000000019,        0.03636659763,    29864.33402730900 },
    {        0.00000000020,        0.91374066194,    45585.17281218740 },
    {        0.00000000021,        4.45003013294,    22490.96212149340 },
    {        0.00000000022,        1.97119365888,    34513.26307268280 },
    {        0.00000000020,        4.11682669951,    17157.06188047180 },
    {        0.00000000024,        1.40243942415,    14712.31711645800 },
    {        0.00000000022,        2.19759737115,    31570.79964939120 },
    {        0.00000000021,        1.48739821208,    61306.01159706580 },
    {        0.00000000025,        5.71465573409,    25934.12433108940 }
  };
  
  const VSOP87Coefficient g_VSOP87B_L2_EARTH[] =
  {
    {        0.00008721859,        1.07253635559,     6283.07584999140 },
    {        0.00000990990,        3.14159265359,        0.00000000000 },
    {        0.00000294833,        0.43717350256,    12566.15169998280 },
    {        0.00000027338,        0.05295636147,        3.52311834900 },
    {        0.00000016333,        5.18820215724,       26.29831979980 },
    {        0.00000015745,        3.68504712183,      155.42039943420 },
    {        0.00000009425,        0.29667114694,    18849.22754997420 },
    {        0.00000008938,        2.05706319592,    77713.77146812050 },
    {        0.00000006940,        0.82691541038,      775.52261132400 },
    {        0.00000005061,        4.66243231680,     1577.34354244780 },
    {        0.00000004060,        1.03067032318,        7.11354700080 },
    {        0.00000003464,        5.14021224609,      796.29800681640 },
    {        0.00000003172,        6.05479318507,     5507.55323866740 },
    {        0.00000003020,        1.19240008524,      242.72860397400 },
    {        0.00000002885,        6.11705865396,      529.69096509460 },
    {        0.00000003809,        3.44043369494,     5573.14280143310 },
    {        0.00000002719,        0.30363248164,      398.14900340820 },
    {        0.00000002365,        4.37666117992,     5223.69391980220 },
    {        0.00000002538,        2.27966434314,      553.56940284240 },
    {        0.00000002078,        3.75435095487,        0.98032106820 },
    {        0.00000001675,        0.90149951436,      951.71840625060 },
    {        0.00000001534,        5.75895831192,     1349.86740965880 },
    {        0.00000001224,        2.97285792195,     2146.16541647520 },
    {        0.00000001449,        4.36401639552,     1748.01641306700 },
    {        0.00000001341,        3.72019379666,     1194.44701022460 },
    {        0.00000001253,        2.94888726310,     6438.49624942560 },
    {        0.00000000999,        5.98665341008,     6286.59896834040 },
    {        0.00000000917,        4.79722195184,     5088.62883976680 },
    {        0.00000000829,        3.31021398862,      213.29909543800 },
    {        0.00000001102,        1.27094359244,   161000.68573767410 },
    {        0.00000000764,        3.41231607038,     5486.77784317500 },
    {        0.00000001046,        0.60374190029,     3154.68708489560 },
    {        0.00000000887,        5.23364022595,     7084.89678111520 },
    {        0.00000000644,        1.59974355582,     2544.31441988340 },
    {        0.00000000681,        3.42742947469,     4694.00295470760 },
    {        0.00000000606,        2.47688996663,    10977.07880469900 },
    {        0.00000000706,        6.19369692903,     4690.47983635860 },
    {        0.00000000643,        1.98119869589,      801.82093112380 },
    {        0.00000000502,        1.44415463861,     6836.64525283380 },
    {        0.00000000490,        2.33889753806,     1592.59601363280 },
    {        0.00000000458,        1.30867922972,     4292.33083295040 },
    {        0.00000000431,        0.03542536476,     7234.79425624200 },
    {        0.00000000349,        0.98779272263,     6040.34724601740 },
    {        0.00000000385,        1.57065592218,    71430.69561812909 },
    {        0.00000000371,        3.16149051601,     6309.37416979120 },
    {        0.00000000348,        0.64980950594,     1059.38193018920 },
    {        0.00000000458,        3.81505682017,   149854.40013480789 },
    {        0.00000000302,        1.91723873447,    10447.38783960440 },
    {        0.00000000306,        3.55405857884,     8031.09226305840 },
    {        0.00000000395,        4.93742673052,     7632.94325965020 },
    {        0.00000000314,        3.18058352846,     2352.86615377180 },
    {        0.00000000281,        4.41751404023,     9437.76293488700 },
    {        0.00000000276,        2.71075791682,     3894.18182954220 },
    {        0.00000000298,        2.52045757001,     6127.65545055720 },
    {        0.00000000272,        0.24370191144,    25132.30339996560 },
    {        0.00000000251,        0.55449375765,     6279.55273164240 },
    {        0.00000000224,        1.40790249012,     4705.73230754360 },
    {        0.00000000258,        5.29510765044,     6812.76681508600 },
    {        0.00000000178,        0.92636669742,     1990.74501704100 },
    {        0.00000000217,        0.68543630022,     6256.77753019160 },
    {        0.00000000154,        0.77808632062,    14143.49524243060 },
    {        0.00000000150,        2.40636982736,      426.59819087600 },
    {        0.00000000196,        6.06877865012,      640.87760738220 },
    {        0.00000000137,        2.21947617717,     8429.24126646660 },
    {        0.00000000127,        5.47380312768,    12036.46073488820 },
    {        0.00000000121,        3.32740512021,    17789.84561978500 },
    {        0.00000000123,        2.16004509785,    10213.28554621100 },
    {        0.00000000116,        0.49705139709,     7058.59846131540 },
    {        0.00000000138,        2.36181661472,    11506.76976979360 },
    {        0.00000000101,        0.86299995919,     6290.18939699220 },
    {        0.00000000118,        5.82317768355,     7860.41939243920 },
    {        0.00000000092,        5.11639978593,     7079.37385680780 },
    {        0.00000000125,        2.65424538513,    88860.05707098669 },
    {        0.00000000088,        4.31188236160,    83996.84731811189 },
    {        0.00000000084,        3.57682769713,    16730.46368959580 },
    {        0.00000000097,        5.58011309774,    13367.97263110660 },
    {        0.00000000102,        2.05853060226,       87.30820453981 },
    {        0.00000000080,        4.73827128421,    11926.25441366880 },
    {        0.00000000080,        5.41344057121,    10973.55568635000 },
    {        0.00000000106,        4.10978997399,     3496.03282613400 },
    {        0.00000000075,        4.89166898876,     5643.17856367740 },
    {        0.00000000100,        3.62645659087,   244287.60000722768 },
    {        0.00000000096,        1.39443577787,     6681.22485339960 },
    {        0.00000000069,        1.88399189965,    10177.25767953360 },
    {        0.00000000087,        0.40842153208,    11015.10647733480 },
    {        0.00000000066,        0.99444831932,     6525.80445396540 },
    {        0.00000000066,        1.42471816453,     9917.69687450980 },
    {        0.00000000067,        5.51240997070,     3097.88382272579 },
    {        0.00000000076,        2.71564693510,     4164.31198961300 },
    {        0.00000000085,        0.49655523670,    10575.40668294180 },
    {        0.00000000077,        3.51693861509,    11856.21865142450 },
    {        0.00000000062,        3.62587628690,    16496.36139620240 },
    {        0.00000000054,        5.25957420065,     3340.61242669980 },
    {        0.00000000053,        1.10902178415,     8635.94200376320 },
    {        0.00000000049,        5.65761054625,    20426.57109242200 },
    {        0.00000000064,        5.79211164779,     2388.89402044920 },
    {        0.00000000046,        5.45092696155,     6275.96230299060 },
    {        0.00000000057,        4.97077155798,    14945.31617355440 },
    {        0.00000000043,        3.30685683359,     9779.10867612540 },
    {        0.00000000042,        1.61412785248,    12168.00269657460 },
    {        0.00000000049,        3.92715473768,     5729.50644714900 },
    {        0.00000000042,        0.63481258930,     2699.73481931760 },
    {        0.00000000056,        4.34038639086,    90955.55169449610 },
    {        0.00000000040,        5.66871428338,    11712.95531823080 },
    {        0.00000000039,        3.10911294009,    16200.77272450120 },
    {        0.00000000040,        5.71338386146,      709.93304855830 },
    {        0.00000000053,        6.17067257683,   233141.31440436150 },
    {        0.00000000037,        0.32095173508,    24356.78078864160 },
    {        0.00000000035,        0.95557073457,    17298.18232732620 },
    {        0.00000000035,        0.64913397996,    25158.60171976540 },
    {        0.00000000041,        1.53850422484,    65147.61976813770 },
    {        0.00000000035,        0.77655626359,    13916.01910964160 },
    {        0.00000000031,        5.35897350775,     5331.35744374080 },
    {        0.00000000030,        4.48114682755,    23543.23050468179 },
    {        0.00000000032,        3.45976963453,     7477.52286021600 },
    {        0.00000000029,        3.46648040769,    13119.72110282519 },
    {        0.00000000038,        2.90863974625,    12721.57209941700 },
    {        0.00000000029,        3.13390968321,     4136.91043351620 },
    {        0.00000000035,        3.79717126309,   143571.32428481648 },
    {        0.00000000027,        0.95726093828,    12559.03815298200 },
    {        0.00000000026,        4.95326877030,     5753.38488489680 },
    {        0.00000000032,        3.49943896928,     6284.05617105960 },
    {        0.00000000026,        4.59276256636,     5884.92684658320 },
    {        0.00000000026,        1.53958920253,   154717.60988768269 },
    {        0.00000000023,        4.88012908735,    13095.84266507740 },
    {        0.00000000023,        0.35935706511,    31415.37924995700 },
    {        0.00000000024,        5.11515116629,    18319.53658487960 },
    {        0.00000000021,        5.73872879912,    12569.67481833180 },
    {        0.00000000021,        1.32901200081,    10988.80815753500 },
    {        0.00000000019,        2.24263229491,    18073.70493865020 },
    {        0.00000000019,        3.14253175605,     6496.37494542940 },
    {        0.00000000021,        2.80122025076,     6282.09552892320 },
    {        0.00000000023,        0.14288760398,     6283.00853968860 },
    {        0.00000000019,        4.28209473754,     3930.20969621960 },
    {        0.00000000016,        0.25933207663,    11790.62908865880 },
    {        0.00000000015,        6.09623501240,    13517.87010623340 },
    {        0.00000000020,        5.06358906224,     6283.14316029419 },
    {        0.00000000015,        1.07680663150,     4933.20844033260 },
    {        0.00000000019,        5.74000581249,     3128.38876509580 },
    {        0.00000000016,        6.18924226747,     7342.45778018060 },
    {        0.00000000013,        1.69105044945,     4535.05943692440 },
    {        0.00000000015,        3.36968394452,    17260.15465469040 },
    {        0.00000000010,        3.78885035015,    22003.91463486980 },
    {        0.00000000011,        2.12851973876,     7875.67186362420 }
  };
  
  const VSOP87Coefficient g_VSOP87B_L3_EARTH[] =
  {
    {        0.00000289058,        5.84173149732,     6283.07584999140 },
    {        0.00000020712,        6.04983939020,    12566.15169998280 },
    {        0.00000002962,        5.19560579570,      155.42039943420 },
    {        0.00000002527,        3.14159265359,        0.00000000000 },
    {        0.00000001288,        4.72197611970,        3.52311834900 },
    {        0.00000000635,        5.96904899168,      242.72860397400 },
    {        0.00000000570,        5.54182903238,    18849.22754997420 },
    {        0.00000000402,        3.78606612895,      553.56940284240 },
    {        0.00000000072,        4.37131884946,     6286.59896834040 },
    {        0.00000000067,        0.91133898967,     6127.65545055720 },
    {        0.00000000037,        5.28611190997,     6438.49624942560 },
    {        0.00000000021,        2.94917211527,     6309.37416979120 },
    {        0.00000000015,        3.63037493932,    71430.69561812909 },
    {        0.00000000011,        4.83261533939,    25132.30339996560 },
    {        0.00000000011,        5.84259014283,     6525.80445396540 },
    {        0.00000000012,        3.82296977522,     7058.59846131540 },
    {        0.00000000013,        2.39991715131,     5729.50644714900 },
    {        0.00000000008,        0.55390332094,     6040.34724601740 },
    {        0.00000000008,        1.46298993048,    11856.21865142450 },
    {        0.00000000008,        5.07535888338,     6256.77753019160 },
    {        0.00000000006,        2.88803526743,     5507.55323866740 },
    {        0.00000000005,        3.87019253131,    12036.46073488820 },
    {        0.00000000005,        2.70838853362,    83996.84731811189 }
  };
  
  const VSOP87Coefficient g_VSOP87B_L4_EARTH[] =
  {
    {        0.00000007714,        4.14117321449,     6283.07584999140 },
    {        0.00000001016,        3.27573644241,    12566.15169998280 },
    {        0.00000000420,        0.41892851415,      155.42039943420 },
    {        0.00000000047,        3.50591071186,    18849.22754997420 },
    {        0.00000000041,        3.14032562331,        3.52311834900 },
    {        0.00000000035,        5.01110770000,     5573.14280143310 },
    {        0.00000000010,        5.64816633449,     6127.65545055720 },
    {        0.00000000013,        0.48609240774,    77713.77146812050 },
    {        0.00000000007,        2.84139222289,   161000.68573767410 },
    {        0.00000000004,        3.65509047070,    25132.30339996560 },
    {        0.00000000002,        0.54880603487,     6438.49624942560 }
  };
  
  const VSOP87Coefficient g_VSOP87B_L5_EARTH[] =
  {
    {        0.00000000172,        2.74854172392,     6283.07584999140 },
    {        0.00000000050,        2.01352986713,      155.42039943420 },
    {        0.00000000028,        2.93369985477,    12566.15169998280 },
    {        0.00000000005,        1.93829214518,    18849.22754997420 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B0_EARTH[] =
  {
    {        0.00000279620,        3.19870156017,    84334.66158130829 },
    {        0.00000101643,        5.42248619256,     5507.55323866740 },
    {        0.00000080445,        3.88013204458,     5223.69391980220 },
    {        0.00000043806,        3.70444689759,     2352.86615377180 },
    {        0.00000031933,        4.00026369781,     1577.34354244780 },
    {        0.00000022724,        3.98473831560,     1047.74731175470 },
    {        0.00000016392,        3.56456119782,     5856.47765911540 },
    {        0.00000018141,        4.98367470262,     6283.07584999140 },
    {        0.00000014443,        3.70275614915,     9437.76293488700 },
    {        0.00000014304,        3.41117857526,    10213.28554621100 },
    {        0.00000011246,        4.82820690527,    14143.49524243060 },
    {        0.00000010900,        2.08574562329,     6812.76681508600 },
    {        0.00000009714,        3.47303947751,     4694.00295470760 },
    {        0.00000010367,        4.05663927945,    71092.88135493269 },
    {        0.00000008775,        4.44016515666,     5753.38488489680 },
    {        0.00000008366,        4.99251512183,     7084.89678111520 },
    {        0.00000006921,        4.32559054073,     6275.96230299060 },
    {        0.00000009145,        1.14182646613,     6620.89011318780 },
    {        0.00000007194,        3.60193205744,      529.69096509460 },
    {        0.00000007698,        5.55425745881,   167621.57585086190 },
    {        0.00000005285,        2.48446991536,     4705.73230754360 },
    {        0.00000005208,        6.24992674532,    18073.70493865020 },
    {        0.00000004529,        2.33827747356,     6309.37416979120 },
    {        0.00000005579,        4.41023653719,     7860.41939243920 },
    {        0.00000004743,        0.70995680136,     5884.92684658320 },
    {        0.00000004301,        1.10255777773,     6681.22485339960 },
    {        0.00000003849,        1.82229412532,     5486.77784317500 },
    {        0.00000004093,        5.11700141197,    13367.97263110660 },
    {        0.00000003681,        0.43793170336,     3154.68708489560 },
    {        0.00000003420,        5.42034800952,     6069.77675455340 },
    {        0.00000003617,        6.04641937568,     3930.20969621960 },
    {        0.00000003670,        4.58210192227,    12194.03291462090 },
    {        0.00000002918,        1.95463881136,    10977.07880469900 },
    {        0.00000002797,        5.61259274877,    11790.62908865880 },
    {        0.00000002502,        0.60499729368,     6496.37494542940 },
    {        0.00000002319,        5.01648216088,     1059.38193018920 },
    {        0.00000002684,        1.39470396487,    22003.91463486980 },
    {        0.00000002428,        3.24183056545,    78051.58573131690 },
    {        0.00000002120,        4.30691000285,     5643.17856367740 },
    {        0.00000002257,        3.15557225087,    90617.73743129970 },
    {        0.00000001813,        3.75574218286,     3340.61242669980 },
    {        0.00000002226,        2.79699346673,    12036.46073488820 },
    {        0.00000001888,        0.86991545944,     8635.94200376320 },
    {        0.00000001517,        1.95852055710,      398.14900340820 },
    {        0.00000001581,        3.19976230948,     5088.62883976680 },
    {        0.00000001421,        6.25530883828,     2544.31441988340 },
    {        0.00000001595,        0.25619915132,    17298.18232732620 },
    {        0.00000001391,        4.69964175574,     7058.59846131540 },
    {        0.00000001478,        2.81808207569,    25934.12433108940 },
    {        0.00000001481,        3.65823554610,    11506.76976979360 },
    {        0.00000001693,        4.95689385293,   156475.29024799570 },
    {        0.00000001183,        1.29343060777,      775.52261132400 },
    {        0.00000001114,        2.37889311847,     3738.76143010800 },
    {        0.00000000994,        4.30088900425,     9225.53927328300 },
    {        0.00000000924,        3.06451026809,     4164.31198961300 },
    {        0.00000000867,        0.55606931068,     8429.24126646660 },
    {        0.00000000988,        5.97286104208,     7079.37385680780 },
    {        0.00000000824,        1.50984806177,    10447.38783960440 },
    {        0.00000000915,        0.12635654605,    11015.10647733480 },
    {        0.00000000742,        1.99159139281,    26087.90314157420 },
    {        0.00000001039,        3.14159265359,        0.00000000000 },
    {        0.00000000850,        4.24120016095,    29864.33402730900 },
    {        0.00000000755,        2.89631873314,     4732.03062734340 },
    {        0.00000000714,        1.37548118605,     2146.16541647520 },
    {        0.00000000708,        1.91406542362,     8031.09226305840 },
    {        0.00000000746,        0.57893808622,      796.29800681640 },
    {        0.00000000802,        5.12339137235,     2942.46342329160 },
    {        0.00000000751,        1.67479850166,    21228.39202354580 },
    {        0.00000000602,        4.09976538900,    64809.80550494129 },
    {        0.00000000594,        3.49580704849,    16496.36139620240 },
    {        0.00000000592,        4.59481504319,     4690.47983635860 },
    {        0.00000000530,        5.73979295194,     8827.39026987480 },
    {        0.00000000503,        5.66433137112,    33794.54372352860 },
    {        0.00000000483,        1.57106522322,      801.82093112380 },
    {        0.00000000438,        0.06707733720,     3128.38876509580 },
    {        0.00000000423,        2.86944596145,    12566.15169998280 },
    {        0.00000000504,        3.26207669160,     7632.94325965020 },
    {        0.00000000552,        1.02926440457,   239762.20451754928 },
    {        0.00000000427,        3.67434378208,      213.29909543800 },
    {        0.00000000404,        1.46193297360,    15720.83878487840 },
    {        0.00000000503,        4.85802444134,     6290.18939699220 },
    {        0.00000000417,        0.81920713533,     5216.58037280140 },
    {        0.00000000365,        0.01002966145,    12168.00269657460 },
    {        0.00000000363,        1.28376436579,     6206.80977871580 },
    {        0.00000000353,        4.70059133110,     7234.79425624200 },
    {        0.00000000415,        0.96862624176,     4136.91043351620 },
    {        0.00000000387,        3.09145061418,    25158.60171976540 },
    {        0.00000000373,        2.65119262808,     7342.45778018060 },
    {        0.00000000361,        2.97762937735,     9623.68827669120 },
    {        0.00000000418,        3.75759994446,     5230.80746680300 },
    {        0.00000000396,        1.22507712354,     6438.49624942560 },
    {        0.00000000322,        1.21162178805,     8662.24032356300 },
    {        0.00000000284,        5.64170320179,     1589.07289528380 },
    {        0.00000000379,        1.72248432756,    14945.31617355440 },
    {        0.00000000320,        3.94161159658,     7330.82316174610 },
    {        0.00000000313,        5.47602376451,     1194.44701022460 },
    {        0.00000000292,        1.38971327568,    11769.85369316640 },
    {        0.00000000305,        0.80429352049,    37724.75341974820 },
    {        0.00000000257,        5.81382810029,      426.59819087600 },
    {        0.00000000265,        6.10358507671,     6836.64525283380 },
    {        0.00000000250,        4.56452895547,     7477.52286021600 },
    {        0.00000000266,        2.62926282354,     7238.67559160000 },
    {        0.00000000263,        6.22089501237,     6133.51265285680 },
    {        0.00000000306,        2.79682380532,     1748.01641306700 },
    {        0.00000000236,        2.46093023707,    11371.70468975820 },
    {        0.00000000316,        1.62662805006,   250908.49012041549 },
    {        0.00000000216,        3.68721275185,     5849.36411211460 },
    {        0.00000000230,        0.36165162947,     5863.59120611620 },
    {        0.00000000233,        5.03509933618,    20426.57109242200 },
    {        0.00000000200,        5.86073159059,     4535.05943692440 },
    {        0.00000000277,        4.65400292395,    82239.16695779889 },
    {        0.00000000209,        3.72323200803,    10973.55568635000 },
    {        0.00000000199,        5.05186622555,     5429.87946823940 },
    {        0.00000000256,        2.40923279886,    19651.04848109800 },
    {        0.00000000210,        4.50691909144,    29088.81141598500 },
    {        0.00000000181,        6.00294783127,     4292.33083295040 },
    {        0.00000000249,        0.12900984422,   154379.79562448629 },
    {        0.00000000209,        3.87759458541,    17789.84561978500 },
    {        0.00000000225,        3.18339652605,    18875.52586977400 },
    {        0.00000000191,        4.53897489216,    18477.10876461230 },
    {        0.00000000172,        2.09694182730,    13095.84266507740 },
    {        0.00000000182,        3.16107943487,    16730.46368959580 },
    {        0.00000000188,        2.22746128596,    41654.96311596780 },
    {        0.00000000164,        5.18686274999,     5481.25491886760 },
    {        0.00000000160,        2.49298855020,    12592.45001978260 },
    {        0.00000000155,        1.59595438224,    10021.83728009940 },
    {        0.00000000135,        0.21349051305,    10988.80815753500 },
    {        0.00000000178,        3.80375178044,    23581.25817731760 },
    {        0.00000000123,        1.66800739151,    15110.46611986620 },
    {        0.00000000122,        2.72678272224,    18849.22754997420 },
    {        0.00000000126,        1.17675512872,    14919.01785375460 },
    {        0.00000000142,        3.95053440992,      337.81426319640 },
    {        0.00000000116,        6.06340906212,     6709.67404086740 },
    {        0.00000000137,        3.52143246244,    12139.55350910680 },
    {        0.00000000136,        2.92179113491,    32217.20018108080 },
    {        0.00000000110,        3.51203379263,    18052.92954315780 },
    {        0.00000000147,        4.63371971408,    22805.73556599360 },
    {        0.00000000108,        5.45280815225,        7.11354700080 },
    {        0.00000000148,        0.65447253687,    95480.94718417450 },
    {        0.00000000119,        5.92110458985,    33019.02111220460 },
    {        0.00000000110,        5.34824206403,      639.89728631400 },
    {        0.00000000106,        3.71081682614,    14314.16811304980 },
    {        0.00000000139,        6.17607198262,    24356.78078864160 },
    {        0.00000000118,        5.59738712949,   161338.50000087050 },
    {        0.00000000117,        3.65065271640,    45585.17281218740 },
    {        0.00000000127,        4.74596574209,    49515.38250840700 },
    {        0.00000000120,        1.04211499785,     6915.85958930460 },
    {        0.00000000120,        5.60638811846,     5650.29211067820 },
    {        0.00000000115,        3.10668213303,    14712.31711645800 },
    {        0.00000000099,        0.69018939930,    12779.45079542080 },
    {        0.00000000097,        1.07908724794,     9917.69687450980 },
    {        0.00000000093,        2.62295197146,    17260.15465469040 },
    {        0.00000000099,        4.45774681732,     4933.20844033260 },
    {        0.00000000123,        1.37488921994,    28286.99048486120 },
    {        0.00000000121,        5.19767249869,    27511.46787353720 },
    {        0.00000000105,        0.87192268229,    77375.95720492408 },
    {        0.00000000087,        3.93637812950,    17654.78053974960 },
    {        0.00000000122,        2.23956068680,    83997.09113559539 },
    {        0.00000000087,        4.18201600921,    22779.43724619380 },
    {        0.00000000104,        4.59580877285,     1349.86740965880 },
    {        0.00000000102,        2.83545248595,    12352.85260454480 },
    {        0.00000000102,        3.97386522171,    10818.13528691580 },
    {        0.00000000101,        4.32892825818,    36147.40987730040 },
    {        0.00000000094,        5.00001709338,   150192.21439800429 },
    {        0.00000000077,        3.97199369300,     1592.59601363280 },
    {        0.00000000100,        6.07733097102,    26735.94526221320 },
    {        0.00000000086,        5.26029638250,    28313.28880466100 },
    {        0.00000000093,        4.31900620254,    44809.65020086340 },
    {        0.00000000076,        6.22743405935,    13521.75144159140 },
    {        0.00000000072,        1.55820597747,     6256.77753019160 },
    {        0.00000000082,        4.95202664555,    10575.40668294180 },
    {        0.00000000082,        1.69647647075,     1990.74501704100 },
    {        0.00000000075,        2.29836095644,     3634.62102451840 },
    {        0.00000000075,        2.66367876557,    16200.77272450120 },
    {        0.00000000087,        0.26630214764,    31441.67756975680 },
    {        0.00000000077,        2.25530952876,     5235.32853823670 },
    {        0.00000000076,        1.09869730334,    12903.96596317920 },
    {        0.00000000058,        4.28246137794,    12559.03815298200 },
    {        0.00000000064,        5.51112829602,   173904.65170085328 },
    {        0.00000000056,        2.60133794851,    73188.37597844210 },
    {        0.00000000055,        5.81483150022,   143233.51002162008 },
    {        0.00000000054,        3.38482031504,   323049.11878710287 },
    {        0.00000000039,        3.28500401937,    71768.50988132549 },
    {        0.00000000039,        3.11239910096,    96900.81328129109 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B1_EARTH[] =
  {
    {        0.00227777722,        3.41376620530,     6283.07584999140 },
    {        0.00003805678,        3.37063423795,    12566.15169998280 },
    {        0.00003619589,        0.00000000000,        0.00000000000 },
    {        0.00000071542,        3.32777549735,    18849.22754997420 },
    {        0.00000007655,        1.79489607186,     5223.69391980220 },
    {        0.00000008107,        3.89190403643,     5507.55323866740 },
    {        0.00000006456,        5.19789424750,     2352.86615377180 },
    {        0.00000003894,        2.15568517178,     6279.55273164240 },
    {        0.00000003892,        1.53021064904,     6286.59896834040 },
    {        0.00000003897,        4.87293945629,    10213.28554621100 },
    {        0.00000003812,        1.43523182316,    12036.46073488820 },
    {        0.00000003577,        2.32913869227,    83996.84731811189 },
    {        0.00000003570,        4.92637739003,    71430.69561812909 },
    {        0.00000003494,        2.20864641831,      529.69096509460 },
    {        0.00000002421,        6.22876183393,     7860.41939243920 },
    {        0.00000002056,        3.06747139741,    14143.49524243060 },
    {        0.00000001399,        0.50107877909,     6309.37416979120 },
    {        0.00000001417,        3.28454570977,    25132.30339996560 },
    {        0.00000001544,        1.82062047625,     5856.47765911540 },
    {        0.00000001457,        1.75339303307,     5884.92684658320 },
    {        0.00000001497,        2.19673914456,     9437.76293488700 },
    {        0.00000001549,        5.73650061398,    17789.84561978500 },
    {        0.00000001277,        3.96721717330,     4705.73230754360 },
    {        0.00000001038,        2.94818701170,     6256.77753019160 },
    {        0.00000001018,        2.24114547164,     6681.22485339960 },
    {        0.00000001021,        1.46795026130,    11790.62908865880 },
    {        0.00000000916,        3.72965830745,     1059.38193018920 },
    {        0.00000001156,        6.04591336669,      398.14900340820 },
    {        0.00000001240,        0.77195902957,     6812.76681508600 },
    {        0.00000001115,        3.92255876225,    12168.00269657460 },
    {        0.00000000908,        1.78447918237,     3930.20969621960 },
    {        0.00000000833,        0.09941579828,    11506.76976979360 },
    {        0.00000000790,        2.45555993228,      775.52261132400 },
    {        0.00000000666,        4.40761401665,     5753.38488489680 },
    {        0.00000000520,        1.60179602491,     4694.00295470760 },
    {        0.00000000382,        0.26754532042,     1577.34354244780 },
    {        0.00000000405,        1.97558286872,     6283.00853968860 },
    {        0.00000000405,        1.53147989887,     6283.14316029419 },
    {        0.00000000388,        2.59563818411,     7058.59846131540 },
    {        0.00000000341,        3.61275156842,    13367.97263110660 },
    {        0.00000000280,        4.63052251735,      796.29800681640 },
    {        0.00000000276,        0.43350778219,     7079.37385680780 },
    {        0.00000000311,        5.28219636656,    17260.15465469040 },
    {        0.00000000275,        5.27597553634,    11769.85369316640 },
    {        0.00000000286,        2.98639716345,     6275.96230299060 },
    {        0.00000000251,        2.81315684448,     6290.18939699220 },
    {        0.00000000239,        5.77837903893,    10977.07880469900 },
    {        0.00000000228,        0.14375973844,     3738.76143010800 },
    {        0.00000000227,        2.51020991853,     7084.89678111520 },
    {        0.00000000211,        4.72029465470,     6496.37494542940 },
    {        0.00000000234,        3.11535274010,      709.93304855830 },
    {        0.00000000234,        0.57075817620,    11856.21865142450 },
    {        0.00000000237,        2.38791907394,      213.29909543800 },
    {        0.00000000227,        1.12059781634,    12352.85260454480 },
    {        0.00000000169,        3.20148089605,     5486.77784317500 },
    {        0.00000000159,        3.14604135756,     8827.39026987480 },
    {        0.00000000160,        1.14784478002,     5643.17856367740 },
    {        0.00000000144,        5.23285657431,    78051.58573131690 },
    {        0.00000000144,        1.16454654602,    90617.73743129970 },
    {        0.00000000144,        3.81203756929,     6262.30045449900 },
    {        0.00000000143,        5.97809021355,     6303.85124548380 },
    {        0.00000000138,        4.29829933273,     1589.07289528380 },
    {        0.00000000161,        3.03298851492,    20426.57109242200 },
    {        0.00000000165,        5.09134896587,    17298.18232732620 },
    {        0.00000000128,        4.41590143012,     6127.65545055720 },
    {        0.00000000158,        2.00984506334,     5230.80746680300 },
    {        0.00000000130,        1.44170683802,    12569.67481833180 },
    {        0.00000000125,        1.69950379498,     3128.38876509580 },
    {        0.00000000152,        4.96946111415,    65147.61976813770 },
    {        0.00000000131,        4.24961399629,     6282.09552892320 },
    {        0.00000000131,        5.54051222995,     6284.05617105960 },
    {        0.00000000161,        3.32421999691,     6283.31966747490 },
    {        0.00000000123,        2.93221463795,    15720.83878487840 },
    {        0.00000000152,        1.56488157456,    18319.53658487960 },
    {        0.00000000114,        1.89110005546,    18073.70493865020 },
    {        0.00000000113,        4.95214866677,     4136.91043351620 },
    {        0.00000000111,        4.79699611405,     8429.24126646660 },
    {        0.00000000118,        3.06184958762,    22003.91463486980 },
    {        0.00000000128,        2.09693027395,    12562.62858163380 },
    {        0.00000000138,        0.84648544836,     6069.77675455340 },
    {        0.00000000100,        0.41938790104,     5481.25491886760 },
    {        0.00000000101,        4.43791289246,    19651.04848109800 },
    {        0.00000000116,        1.87002428935,    77713.77146812050 },
    {        0.00000000095,        0.68638183645,     3340.61242669980 },
    {        0.00000000104,        4.90822646457,     8635.94200376320 },
    {        0.00000000114,        0.36008214928,    23543.23050468179 },
    {        0.00000000091,        1.17611219310,     9225.53927328300 },
    {        0.00000000091,        2.74682631104,     5216.58037280140 },
    {        0.00000000086,        3.09315282195,     1194.44701022460 },
    {        0.00000000093,        6.27643513190,    12559.03815298200 },
    {        0.00000000087,        3.64926989547,        7.11354700080 },
    {        0.00000000083,        0.37008971174,    11371.70468975820 },
    {        0.00000000098,        4.68473306376,   167283.76158766550 },
    {        0.00000000098,        0.99865886857,   154717.60988768269 },
    {        0.00000000086,        4.41152307486,    25934.12433108940 },
    {        0.00000000098,        4.98209568932,    16496.36139620240 },
    {        0.00000000085,        2.35438163823,     3154.68708489560 },
    {        0.00000000083,        0.24859477658,    21228.39202354580 },
    {        0.00000000076,        5.46661600296,    29864.33402730900 },
    {        0.00000000069,        3.22045334237,      801.82093112380 },
    {        0.00000000068,        2.19928242745,    37724.75341974820 },
    {        0.00000000070,        5.33711014698,     2544.31441988340 },
    {        0.00000000055,        5.37872238211,    11015.10647733480 },
    {        0.00000000051,        5.03600618727,     5863.59120611620 },
    {        0.00000000059,        3.54984809612,     4535.05943692440 },
    {        0.00000000053,        1.50812064137,     7342.45778018060 },
    {        0.00000000044,        1.33712241647,     4164.31198961300 },
    {        0.00000000055,        5.38460045253,     7477.52286021600 },
    {        0.00000000049,        5.61844340512,    24072.92146977640 },
    {        0.00000000057,        6.17973522898,     8031.09226305840 },
    {        0.00000000052,        4.24379064407,     5088.62883976680 },
    {        0.00000000041,        3.41960196246,    26087.90314157420 },
    {        0.00000000052,        1.68150981131,    25158.60171976540 },
    {        0.00000000053,        0.11041408311,    29088.81141598500 },
    {        0.00000000043,        0.53354396923,     2146.16541647520 },
    {        0.00000000050,        0.60270799844,    33794.54372352860 },
    {        0.00000000045,        1.69577010458,     6702.56049386660 },
    {        0.00000000037,        6.09033460795,    64809.80550494129 },
    {        0.00000000044,        2.67993061247,    15110.46611986620 },
    {        0.00000000047,        3.62555676035,    41654.96311596780 },
    {        0.00000000036,        0.47219666269,    13095.84266507740 },
    {        0.00000000035,        5.99520523215,    23581.25817731760 },
    {        0.00000000043,        4.08726331262,   156137.47598479927 },
    {        0.00000000043,        5.17376496602,    18422.62935909819 },
    {        0.00000000034,        2.14460100274,     4933.20844033260 },
    {        0.00000000030,        4.12992793541,      426.59819087600 },
    {        0.00000000036,        2.28596930002,    90279.92316810328 },
    {        0.00000000032,        0.81117747619,       26.29831979980 },
    {        0.00000000028,        4.07036560467,    14712.31711645800 },
    {        0.00000000025,        1.92905243842,     1748.01641306700 },
    {        0.00000000024,        5.06152880842,    16730.46368959580 },
    {        0.00000000023,        3.24047012195,    31415.37924995700 },
    {        0.00000000027,        3.90672018305,    18451.07854656599 },
    {        0.00000000021,        3.51419811826,    10447.38783960440 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B2_EARTH[] =
  {
    {        0.00009721424,        5.15192809920,     6283.07584999140 },
    {        0.00000233002,        3.14159265359,        0.00000000000 },
    {        0.00000134188,        0.64406212977,    12566.15169998280 },
    {        0.00000006504,        1.07333397797,    18849.22754997420 },
    {        0.00000001662,        1.62746869551,    84334.66158130829 },
    {        0.00000000635,        3.51985338656,     6279.55273164240 },
    {        0.00000000492,        2.41382223971,     1047.74731175470 },
    {        0.00000000307,        6.10181422085,     5223.69391980220 },
    {        0.00000000322,        0.37660897389,     6286.59896834040 },
    {        0.00000000326,        2.35727931602,     5507.55323866740 },
    {        0.00000000274,        1.65307581765,     7860.41939243920 },
    {        0.00000000228,        1.14082932988,    25132.30339996560 },
    {        0.00000000202,        0.49836682530,     2352.86615377180 },
    {        0.00000000201,        0.15552765600,    10213.28554621100 },
    {        0.00000000167,        3.98005254015,      529.69096509460 },
    {        0.00000000170,        5.28668290523,     6256.77753019160 },
    {        0.00000000166,        3.04613930284,    12036.46073488820 },
    {        0.00000000153,        4.06779216239,    83996.84731811189 },
    {        0.00000000150,        3.18772213951,    71430.69561812909 },
    {        0.00000000120,        3.13558669517,     5884.92684658320 },
    {        0.00000000123,        4.17102530625,     6309.37416979120 },
    {        0.00000000100,        1.46356761368,    11506.76976979360 },
    {        0.00000000100,        3.00322421365,    11790.62908865880 },
    {        0.00000000077,        1.65643898948,     4705.73230754360 },
    {        0.00000000068,        6.03791904123,     6812.76681508600 },
    {        0.00000000075,        4.85191600582,    14143.49524243060 },
    {        0.00000000079,        4.12628805658,     5753.38488489680 },
    {        0.00000000064,        2.71944160460,     6127.65545055720 },
    {        0.00000000063,        0.78655326011,     6438.49624942560 },
    {        0.00000000075,        0.84213523741,   167621.57585086190 },
    {        0.00000000051,        4.55059044701,     5486.77784317500 },
    {        0.00000000050,        5.29314320585,     7079.37385680780 },
    {        0.00000000045,        0.33147576416,      775.52261132400 },
    {        0.00000000043,        3.61793711640,     1577.34354244780 },
    {        0.00000000057,        6.15295833679,    12194.03291462090 },
    {        0.00000000045,        1.18274698508,    17789.84561978500 },
    {        0.00000000047,        1.11643162773,      398.14900340820 },
    {        0.00000000047,        5.52984238430,    12168.00269657460 },
    {        0.00000000042,        2.64375300620,    10988.80815753500 },
    {        0.00000000037,        0.31226891972,     6681.22485339960 },
    {        0.00000000046,        3.38617099014,   156475.29024799570 },
    {        0.00000000033,        1.26266496002,     6290.18939699220 },
    {        0.00000000033,        2.25067065498,     6275.96230299060 },
    {        0.00000000027,        1.72859626293,     1059.38193018920 },
    {        0.00000000028,        2.88681054153,      796.29800681640 },
    {        0.00000000030,        5.52021264181,     7058.59846131540 },
    {        0.00000000021,        6.22275008403,     6069.77675455340 },
    {        0.00000000024,        5.83690442827,     6282.09552892320 },
    {        0.00000000024,        3.95322179797,     6284.05617105960 },
    {        0.00000000021,        4.87022458966,     3738.76143010800 },
    {        0.00000000021,        3.58048145762,     6496.37494542940 },
    {        0.00000000022,        1.97770318395,        7.11354700080 },
    {        0.00000000019,        3.45979888770,     4136.91043351620 },
    {        0.00000000015,        2.81379880771,     1589.07289528380 },
    {        0.00000000015,        1.61313151838,     1194.44701022460 },
    {        0.00000000015,        0.63083434831,    11769.85369316640 },
    {        0.00000000019,        0.28082047767,    17260.15465469040 },
    {        0.00000000017,        1.35165136146,    78051.58573131690 },
    {        0.00000000015,        2.30941599560,    11856.21865142450 },
    {        0.00000000012,        1.12997370513,    90617.73743129970 },
    {        0.00000000012,        0.00611601597,    18073.70493865020 },
    {        0.00000000012,        1.70058636365,    12559.03815298200 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B3_EARTH[] =
  {
    {        0.00000275993,        0.59480097092,     6283.07584999140 },
    {        0.00000017034,        3.14159265359,        0.00000000000 },
    {        0.00000003617,        0.11750575325,    12566.15169998280 },
    {        0.00000000339,        5.66087461682,    18849.22754997420 },
    {        0.00000000056,        5.02765554835,     6279.55273164240 },
    {        0.00000000019,        5.99007646261,     6256.77753019160 },
    {        0.00000000018,        3.80004734567,     6309.37416979120 },
    {        0.00000000018,        1.21049250774,     6127.65545055720 },
    {        0.00000000018,        2.29734567137,     6438.49624942560 },
    {        0.00000000015,        4.72881467263,     6286.59896834040 },
    {        0.00000000012,        0.41481671808,    83996.84731811189 },
    {        0.00000000013,        5.54637369296,    25132.30339996560 },
    {        0.00000000010,        2.91937214232,    71430.69561812909 },
    {        0.00000000006,        2.14173241210,    11856.21865142450 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B4_EARTH[] =
  {
    {        0.00000005745,        2.26734029843,     6283.07584999140 },
    {        0.00000000870,        0.00000000000,        0.00000000000 },
    {        0.00000000119,        4.26807972611,    12566.15169998280 },
    {        0.00000000017,        4.07422620440,    18849.22754997420 },
    {        0.00000000005,        0.84308705203,     1047.74731175470 },
    {        0.00000000005,        0.05711572303,    84334.66158130829 }
  };
  
  const VSOP87Coefficient g_VSOP87B_B5_EARTH[] =
  {
    {        0.00000000114,        4.31455980099,     6283.07584999140 },
    {        0.00000000024,        0.00000000000,        0.00000000000 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R0_EARTH[] =
  {
    {        1.00013988784,        0.00000000000,        0.00000000000 },
    {        0.01670699632,        3.09846350258,     6283.07584999140 },
    {        0.00013956024,        3.05524609456,    12566.15169998280 },
    {        0.00003083720,        5.19846674381,    77713.77146812050 },
    {        0.00001628463,        1.17387558054,     5753.38488489680 },
    {        0.00001575572,        2.84685214877,     7860.41939243920 },
    {        0.00000924799,        5.45292236722,    11506.76976979360 },
    {        0.00000542439,        4.56409151453,     3930.20969621960 },
    {        0.00000472110,        3.66100022149,     5884.92684658320 },
    {        0.00000328780,        5.89983686142,     5223.69391980220 },
    {        0.00000345969,        0.96368627272,     5507.55323866740 },
    {        0.00000306784,        0.29867139512,     5573.14280143310 },
    {        0.00000174844,        3.01193636733,    18849.22754997420 },
    {        0.00000243181,        4.27349530790,    11790.62908865880 },
    {        0.00000211836,        5.84714461348,     1577.34354244780 },
    {        0.00000185740,        5.02199710705,    10977.07880469900 },
    {        0.00000109835,        5.05510635860,     5486.77784317500 },
    {        0.00000098316,        0.88681311278,     6069.77675455340 },
    {        0.00000086500,        5.68956418946,    15720.83878487840 },
    {        0.00000085831,        1.27079125277,   161000.68573767410 },
    {        0.00000062917,        0.92177053978,      529.69096509460 },
    {        0.00000057056,        2.01374292245,    83996.84731811189 },
    {        0.00000064908,        0.27251341435,    17260.15465469040 },
    {        0.00000049384,        3.24501240359,     2544.31441988340 },
    {        0.00000055736,        5.24159799170,    71430.69561812909 },
    {        0.00000042520,        6.01110257982,     6275.96230299060 },
    {        0.00000046966,        2.57799853213,      775.52261132400 },
    {        0.00000038963,        5.36063832897,     4694.00295470760 },
    {        0.00000044666,        5.53715663816,     9437.76293488700 },
    {        0.00000035661,        1.67447135798,    12036.46073488820 },
    {        0.00000031922,        0.18368299942,     5088.62883976680 },
    {        0.00000031846,        1.77775642078,      398.14900340820 },
    {        0.00000033193,        0.24370221704,     7084.89678111520 },
    {        0.00000038245,        2.39255343973,     8827.39026987480 },
    {        0.00000028468,        1.21344887533,     6286.59896834040 },
    {        0.00000037486,        0.82961281844,    19651.04848109800 },
    {        0.00000036957,        4.90107587287,    12139.55350910680 },
    {        0.00000034537,        1.84270693281,     2942.46342329160 },
    {        0.00000026275,        4.58896863104,    10447.38783960440 },
    {        0.00000024596,        3.78660838036,     8429.24126646660 },
    {        0.00000023587,        0.26866098169,      796.29800681640 },
    {        0.00000027795,        1.89934427832,     6279.55273164240 },
    {        0.00000023927,        4.99598548145,     5856.47765911540 },
    {        0.00000020345,        4.65282190725,     2146.16541647520 },
    {        0.00000023287,        2.80783632869,    14143.49524243060 },
    {        0.00000022099,        1.95002636847,     3154.68708489560 },
    {        0.00000019509,        5.38233922479,     2352.86615377180 },
    {        0.00000017958,        0.19871369960,     6812.76681508600 },
    {        0.00000017178,        4.43322156854,    10213.28554621100 },
    {        0.00000016190,        5.23159323213,    17789.84561978500 },
    {        0.00000017315,        6.15224075188,    16730.46368959580 },
    {        0.00000013814,        5.18962074032,     8031.09226305840 },
    {        0.00000018834,        0.67280058021,   149854.40013480789 },
    {        0.00000018330,        2.25348717053,    23581.25817731760 },
    {        0.00000013639,        3.68511810757,     4705.73230754360 },
    {        0.00000013142,        0.65267698994,    13367.97263110660 },
    {        0.00000010414,        4.33285688501,    11769.85369316640 },
    {        0.00000009978,        4.20126336356,     6309.37416979120 },
    {        0.00000010170,        1.59366684542,     4690.47983635860 },
    {        0.00000007564,        2.62560597391,     6256.77753019160 },
    {        0.00000009654,        3.67583728703,    27511.46787353720 },
    {        0.00000006743,        0.56269927047,     3340.61242669980 },
    {        0.00000008743,        6.06359123461,     1748.01641306700 },
    {        0.00000007786,        3.67371235367,    12168.00269657460 },
    {        0.00000006633,        5.66149277789,    11371.70468975820 },
    {        0.00000007712,        0.31242577788,     7632.94325965020 },
    {        0.00000006586,        3.13580054586,      801.82093112380 },
    {        0.00000007460,        5.64758066660,    11926.25441366880 },
    {        0.00000006933,        2.92384586372,     6681.22485339960 },
    {        0.00000006805,        1.42327153767,    23013.53953958720 },
    {        0.00000006118,        5.13395999022,     1194.44701022460 },
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    {        0.00000000110,        3.66952094465,   238004.52415723630 },
    {        0.00000000112,        4.32512422724,    97238.62754448749 },
    {        0.00000000120,        1.26895630075,    12043.57428188900 },
    {        0.00000000097,        5.42612959752,     7834.12107263940 },
    {        0.00000000094,        2.56461130309,    19004.64794940840 },
    {        0.00000000105,        5.68272475301,    16522.65971600220 },
    {        0.00000000117,        3.65425622684,    34520.30930938080 },
    {        0.00000000108,        1.24206843948,    84672.47584450469 },
    {        0.00000000098,        0.13589994287,    11080.17157891760 },
    {        0.00000000097,        2.46722096722,    71980.63357473118 },
    {        0.00000000095,        5.36958330451,     6288.59877429880 },
    {        0.00000000096,        0.20796618776,    18139.29450141590 },
    {        0.00000000111,        5.01961920313,    11823.16163945020 },
    {        0.00000000090,        2.72355843779,    26880.31981303260 },
    {        0.00000000099,        0.90164266199,    18635.92845453620 },
    {        0.00000000126,        4.78722177847,   305281.94307104882 },
    {        0.00000000124,        5.00979495566,   172146.97134054030 },
    {        0.00000000090,        4.50544881196,    40077.61957352000 },
    {        0.00000000104,        5.63679680710,     2787.04302385740 },
    {        0.00000000091,        5.43564326147,     6272.03014972750 },
    {        0.00000000100,        2.00639461597,    12323.42309600880 },
    {        0.00000000117,        2.35555589778,    83286.91426955359 },
    {        0.00000000105,        2.59824000109,    30666.15495843280 },
    {        0.00000000090,        2.35779490026,    12491.37010141550 },
    {        0.00000000089,        3.57152453732,    11720.06886523160 },
    {        0.00000000095,        5.67015349858,    14919.01785375460 },
    {        0.00000000087,        1.86043406047,    27707.54249429480 },
    {        0.00000000106,        3.04150600352,    22345.26037610820 },
    {        0.00000000082,        5.58298993353,    10241.20229116720 },
    {        0.00000000083,        3.10607039533,    36147.40987730040 },
    {        0.00000000094,        5.47749711149,     9924.81042151060 },
    {        0.00000000082,        4.71988314145,    15141.39079431200 },
    {        0.00000000096,        3.89073946348,     6379.05507720920 },
    {        0.00000000110,        4.92131611151,     5621.84292321040 },
    {        0.00000000110,        4.89978492291,    72140.62866668739 },
    {        0.00000000097,        5.20764563059,     6303.43116939020 },
    {        0.00000000085,        1.61269222311,    33326.57873317420 },
    {        0.00000000093,        1.32651591333,    23020.65308658799 },
    {        0.00000000090,        0.57733016380,    26482.17080962440 },
    {        0.00000000078,        3.99588630754,    11293.47067435560 },
    {        0.00000000106,        3.92012705073,    62883.35513951360 },
    {        0.00000000098,        2.94397773524,      316.39186965660 },
    {        0.00000000076,        3.96310417608,    29026.48522950779 },
    {        0.00000000098,        0.95914722366,    48739.85989708300 },
    {        0.00000000078,        1.97068528043,    90279.92316810328 },
    {        0.00000000076,        0.23027966596,    21424.46664430340 },
    {        0.00000000079,        1.46227790922,     8982.81066930900 },
    {        0.00000000078,        2.28840998832,      266.60704172180 },
    {        0.00000000071,        1.51940765590,    33794.54372352860 },
    {        0.00000000076,        0.22880641443,    57375.80190084620 },
    {        0.00000000097,        0.39449562097,    24279.10701821359 },
    {        0.00000000075,        2.77638584795,    12964.30070339100 },
    {        0.00000000077,        5.18846946344,    11520.99686379520 },
    {        0.00000000068,        0.50006599129,     4274.51831083240 },
    {        0.00000000075,        2.07323762803,    15664.03552270859 },
    {        0.00000000077,        0.46665178780,    16207.88627150200 },
    {        0.00000000081,        4.10452219483,   161710.61878623240 },
    {        0.00000000071,        3.91415328513,     7875.67186362420 },
    {        0.00000000081,        0.91938383406,       74.78159856730 },
    {        0.00000000083,        4.69916218791,    23006.42599258639 },
    {        0.00000000069,        0.98999300277,     6393.28217121080 },
    {        0.00000000065,        5.41938745446,    28628.33622609960 },
    {        0.00000000073,        2.45564765251,    15508.61512327440 },
    {        0.00000000065,        3.02336771694,     5959.57043333400 },
    {        0.00000000064,        0.18375587635,     1066.49547719000 },
    {        0.00000000080,        5.81239171612,    12341.80690428090 },
    {        0.00000000066,        2.15105504851,       38.02767263580 },
    {        0.00000000067,        5.14047250153,     9814.60410029120 },
    {        0.00000000062,        2.43313614978,    10138.10951694860 },
    {        0.00000000068,        2.24442548639,    24383.07910844140 },
    {        0.00000000078,        1.39649333997,     9411.46461508720 },
    {        0.00000000059,        4.95362151577,    35707.71008290740 },
    {        0.00000000073,        1.35229143121,     5327.47610838280 },
    {        0.00000000057,        3.16018882154,     5490.30096152400 },
    {        0.00000000072,        5.91833527334,    10881.09957748120 },
    {        0.00000000067,        0.66414713064,    29864.33402730900 },
    {        0.00000000065,        0.30352816135,     7018.95236352320 },
    {        0.00000000059,        5.36231868425,    10239.58386601080 },
    {        0.00000000056,        3.22196331515,     2636.72547263700 },
    {        0.00000000068,        5.32086226658,     3116.65941225980 },
    {        0.00000000059,        1.63156134967,    61306.01159706580 },
    {        0.00000000054,        4.29491690425,    21947.11137270000 },
    {        0.00000000070,        0.29271565928,     6528.90749622080 },
    {        0.00000000057,        5.89190132575,    34513.26307268280 },
    {        0.00000000054,        2.51856815404,     6279.19451463340 },
    {        0.00000000074,        1.38235845304,     9967.45389998160 },
    {        0.00000000054,        0.92276712152,     6286.95718534940 },
    {        0.00000000070,        5.00933012248,     6453.74872061060 },
    {        0.00000000053,        3.86543309344,    32370.97899156560 },
    {        0.00000000055,        4.51794544854,    34911.41207609100 },
    {        0.00000000063,        5.41479412056,    11502.83761653050 },
    {        0.00000000063,        2.34416220742,    11510.70192305670 },
    {        0.00000000056,        0.91310629913,     9910.58332750900 },
    {        0.00000000067,        4.03308763854,    34596.36465465240 },
    {        0.00000000060,        5.57024703495,     5756.90800324580 },
    {        0.00000000072,        2.80863088166,    10866.87248347960 },
    {        0.00000000066,        6.12047940728,    12074.48840752400 },
    {        0.00000000051,        2.59519527563,    11396.56344857420 },
    {        0.00000000062,        5.14746754396,    25287.72379939980 },
    {        0.00000000054,        2.50994032776,     5999.21653112620 },
    {        0.00000000051,        4.51195861837,    29822.78323632420 },
    {        0.00000000059,        0.44167237876,   250570.67585721909 },
    {        0.00000000051,        3.68849066760,     6262.72053059260 },
    {        0.00000000049,        0.54704693048,    22594.05489571199 },
    {        0.00000000065,        2.38423614501,    52670.06959330260 },
    {        0.00000000069,        5.34363738671,    66813.56483573320 },
    {        0.00000000056,        2.67216180349,    17892.93839400359 },
    {        0.00000000049,        4.18361320516,    18606.49894600020 },
    {        0.00000000055,        0.83886167974,    20452.86941222180 },
    {        0.00000000050,        1.46327331958,    37455.72649597440 },
    {        0.00000000058,        3.34847975377,    33990.61834428620 },
    {        0.00000000065,        1.45522693982,    76251.32777062019 },
    {        0.00000000056,        2.35650664200,    37724.75341974820 },
    {        0.00000000048,        1.80689447612,      206.18554843720 },
    {        0.00000000056,        3.84224878744,     5483.25472482600 },
    {        0.00000000053,        0.17334326094,    77717.29458646949 },
    {        0.00000000053,        0.79879700631,    77710.24834977149 },
    {        0.00000000047,        0.43240779709,      735.87651353180 },
    {        0.00000000053,        4.58786566028,    11616.97609101300 },
    {        0.00000000048,        6.20230111054,     4171.42553661380 },
    {        0.00000000052,        2.91719053030,     6993.00889854970 },
    {        0.00000000057,        3.42008310383,    50317.20343953080 },
    {        0.00000000048,        0.12356889012,    13362.44970679920 },
    {        0.00000000060,        5.52056066934,      949.17560896980 },
    {        0.00000000045,        3.37963782356,    10763.77970926100 },
    {        0.00000000047,        5.50958184902,    12779.45079542080 },
    {        0.00000000052,        5.42770349015,   310145.15282392362 },
    {        0.00000000061,        2.93237974631,     5791.41255753260 },
    {        0.00000000044,        2.87440620802,     8584.66166590080 },
    {        0.00000000046,        4.03141796560,    10667.80048204320 },
    {        0.00000000044,        1.21579107625,     6272.43918464160 },
    {        0.00000000047,        2.57670800912,    11492.54267579200 },
    {        0.00000000044,        3.62570223167,    63658.87775083760 },
    {        0.00000000051,        0.84531181151,    12345.73905754400 },
    {        0.00000000046,        1.17584556517,      149.56319713460 },
    {        0.00000000043,        0.01524970172,    37853.87549938260 },
    {        0.00000000043,        0.79038834934,      640.87760738220 },
    {        0.00000000044,        2.22554419931,     6293.71251534120 },
    {        0.00000000049,        1.01528394907,   149144.46708624958 },
    {        0.00000000041,        3.27146326065,     8858.31494432060 },
    {        0.00000000045,        3.03765521215,    65236.22129328540 },
    {        0.00000000058,        5.45843180927,     1975.49254585600 },
    {        0.00000000041,        1.32190847146,     2547.83753823240 },
    {        0.00000000047,        3.67626039848,    28313.28880466100 },
    {        0.00000000047,        6.21438985953,    10991.30589870060 },
    {        0.00000000040,        2.37237751212,     8273.82086703240 },
    {        0.00000000056,        1.09773690181,    77376.20102240759 },
    {        0.00000000040,        2.35698541041,     2699.73481931760 },
    {        0.00000000043,        5.28030897946,    17796.95916678580 },
    {        0.00000000054,        2.59175932091,    22910.44676536859 },
    {        0.00000000055,        0.07988985505,    83467.15635301729 },
    {        0.00000000041,        4.47510694062,     5618.31980486140 },
    {        0.00000000040,        1.35670430524,    27177.85152920020 },
    {        0.00000000041,        2.48011323946,     6549.68289171320 },
    {        0.00000000050,        2.56387920528,    82576.98122099529 },
    {        0.00000000042,        4.78798367468,     7856.89627409019 },
    {        0.00000000047,        2.75482175292,    18202.21671665939 },
    {        0.00000000039,        1.97008298629,    24491.42579258340 },
    {        0.00000000042,        4.04346599946,     7863.94251078820 },
    {        0.00000000039,        3.01033936420,      853.19638175200 },
    {        0.00000000038,        0.49178679251,    38650.17350619900 },
    {        0.00000000044,        1.35931241699,    21393.54196985760 },
    {        0.00000000036,        4.86047906533,     4157.19844261220 },
    {        0.00000000043,        5.64354880978,     1062.90504853820 },
    {        0.00000000039,        3.92736779879,     3903.91137641980 },
    {        0.00000000040,        5.39694918320,     9498.21223063460 },
    {        0.00000000043,        2.40863861919,    29424.63423291600 },
    {        0.00000000046,        2.08022244271,    12573.26524698360 },
    {        0.00000000050,        6.15760345261,    78051.34191383339 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R1_EARTH[] =
  {
    {        0.00103018607,        1.10748968172,     6283.07584999140 },
    {        0.00001721238,        1.06442300386,    12566.15169998280 },
    {        0.00000702217,        3.14159265359,        0.00000000000 },
    {        0.00000032345,        1.02168583254,    18849.22754997420 },
    {        0.00000030801,        2.84358443952,     5507.55323866740 },
    {        0.00000024978,        1.31906570344,     5223.69391980220 },
    {        0.00000018487,        1.42428709076,     1577.34354244780 },
    {        0.00000010077,        5.91385248388,    10977.07880469900 },
    {        0.00000008635,        0.27158192945,     5486.77784317500 },
    {        0.00000008654,        1.42046854427,     6275.96230299060 },
    {        0.00000005069,        1.68613408916,     5088.62883976680 },
    {        0.00000004985,        6.01402338185,     6286.59896834040 },
    {        0.00000004667,        5.98749245692,      529.69096509460 },
    {        0.00000004395,        0.51800423445,     4694.00295470760 },
    {        0.00000003870,        4.74932206877,     2544.31441988340 },
    {        0.00000003755,        5.07053801166,      796.29800681640 },
    {        0.00000004100,        1.08424801084,     9437.76293488700 },
    {        0.00000003518,        0.02290216978,    83996.84731811189 },
    {        0.00000003436,        0.94937503872,    71430.69561812909 },
    {        0.00000003221,        6.15628775321,     2146.16541647520 },
    {        0.00000003418,        5.41151581880,      775.52261132400 },
    {        0.00000002863,        5.48433323746,    10447.38783960440 },
    {        0.00000002525,        0.24296913555,      398.14900340820 },
    {        0.00000002205,        4.94892172085,     6812.76681508600 },
    {        0.00000002186,        0.41991932164,     8031.09226305840 },
    {        0.00000002828,        3.41986300734,     2352.86615377180 },
    {        0.00000002554,        6.13241770582,     6438.49624942560 },
    {        0.00000001932,        5.31374587091,     8429.24126646660 },
    {        0.00000002427,        3.09118902115,     4690.47983635860 },
    {        0.00000001730,        1.53685999718,     4705.73230754360 },
    {        0.00000002250,        3.68836395620,     7084.89678111520 },
    {        0.00000002094,        1.28169060400,     1748.01641306700 },
    {        0.00000001483,        3.22226346483,     7234.79425624200 },
    {        0.00000001434,        0.81293662216,    14143.49524243060 },
    {        0.00000001754,        3.22883705112,     6279.55273164240 },
    {        0.00000001583,        4.09815978783,    11499.65622279280 },
    {        0.00000001575,        5.53890314149,     3154.68708489560 },
    {        0.00000001847,        1.82041234937,     7632.94325965020 },
    {        0.00000001499,        3.63177937611,    11513.88331679440 },
    {        0.00000001337,        4.64442556061,     6836.64525283380 },
    {        0.00000001275,        2.69329661394,     1349.86740965880 },
    {        0.00000001348,        6.15284035323,     5746.27133789600 },
    {        0.00000001126,        3.35676107739,    17789.84561978500 },
    {        0.00000001470,        3.65282991735,     1194.44701022460 },
    {        0.00000001101,        4.49747427670,     4292.33083295040 },
    {        0.00000001168,        2.58033028504,    13367.97263110660 },
    {        0.00000001236,        5.64980098028,     5760.49843189760 },
    {        0.00000000985,        0.65326301914,     5856.47765911540 },
    {        0.00000000928,        2.32555018290,    10213.28554621100 },
    {        0.00000001073,        5.82672338169,    12036.46073488820 },
    {        0.00000000918,        0.76907130762,    16730.46368959580 },
    {        0.00000000876,        1.50335727807,    11926.25441366880 },
    {        0.00000001023,        5.62071200879,     6256.77753019160 },
    {        0.00000000853,        0.65678134630,      155.42039943420 },
    {        0.00000000802,        4.10519132094,      951.71840625060 },
    {        0.00000000859,        1.42880883564,     5753.38488489680 },
    {        0.00000000992,        1.14238001610,     1059.38193018920 },
    {        0.00000000814,        1.63584008733,     6681.22485339960 },
    {        0.00000000664,        4.55039663226,     5216.58037280140 },
    {        0.00000000627,        1.50782904323,     5643.17856367740 },
    {        0.00000000644,        4.19480024859,     6040.34724601740 },
    {        0.00000000590,        6.18371704849,     4164.31198961300 },
    {        0.00000000635,        0.52423584770,     6290.18939699220 },
    {        0.00000000650,        0.97935492869,    25132.30339996560 },
    {        0.00000000568,        2.30121525349,    10973.55568635000 },
    {        0.00000000549,        5.26737827342,     3340.61242669980 },
    {        0.00000000547,        2.20143332641,     1592.59601363280 },
    {        0.00000000526,        0.92464258271,    11371.70468975820 },
    {        0.00000000493,        5.91036281399,     3894.18182954220 },
    {        0.00000000483,        1.66005711540,    12168.00269657460 },
    {        0.00000000514,        3.59683072524,    10969.96525769820 },
    {        0.00000000516,        3.97164781773,    17298.18232732620 },
    {        0.00000000529,        5.03538677680,     9917.69687450980 },
    {        0.00000000487,        2.50544745305,     6127.65545055720 },
    {        0.00000000419,        4.05235655996,    10984.19235169980 },
    {        0.00000000538,        5.54081539813,      553.56940284240 },
    {        0.00000000402,        2.16859478359,     7860.41939243920 },
    {        0.00000000552,        2.32219865498,    11506.76976979360 },
    {        0.00000000367,        3.39145698451,     6496.37494542940 },
    {        0.00000000360,        5.34467204596,     7079.37385680780 },
    {        0.00000000334,        3.61346365667,    11790.62908865880 },
    {        0.00000000454,        0.28755421898,      801.82093112380 },
    {        0.00000000419,        3.69613970002,    10575.40668294180 },
    {        0.00000000319,        0.30793759304,    16200.77272450120 },
    {        0.00000000376,        5.81560210508,     7058.59846131540 },
    {        0.00000000364,        1.08425056923,     6309.37416979120 },
    {        0.00000000294,        4.54798604178,    11856.21865142450 },
    {        0.00000000290,        1.26451946335,     8635.94200376320 },
    {        0.00000000394,        4.15683669084,       26.29831979980 },
    {        0.00000000260,        5.09424572996,    10177.25767953360 },
    {        0.00000000241,        2.25766000302,    11712.95531823080 },
    {        0.00000000239,        1.06936978753,      242.72860397400 },
    {        0.00000000276,        3.44260568764,     5884.92684658320 },
    {        0.00000000255,        5.38496803122,    21228.39202354580 },
    {        0.00000000307,        4.24313885601,     3738.76143010800 },
    {        0.00000000213,        3.44661200485,      213.29909543800 },
    {        0.00000000198,        0.69427265195,     1990.74501704100 },
    {        0.00000000195,        5.16563409007,    12352.85260454480 },
    {        0.00000000213,        3.89937836808,    13916.01910964160 },
    {        0.00000000214,        4.00445200772,     5230.80746680300 },
    {        0.00000000184,        5.59805976614,     6283.14316029419 },
    {        0.00000000184,        2.85275392124,     7238.67559160000 },
    {        0.00000000179,        2.54259058252,    14314.16811304980 },
    {        0.00000000236,        5.58826125715,     6069.77675455340 },
    {        0.00000000189,        2.72689937708,     6062.66320755260 },
    {        0.00000000184,        6.04216273598,     6283.00853968860 },
    {        0.00000000225,        1.66128561344,     4732.03062734340 },
    {        0.00000000230,        3.62591335086,     6284.05617105960 },
    {        0.00000000172,        0.97566476085,     3930.20969621960 },
    {        0.00000000162,        2.19467339429,    18073.70493865020 },
    {        0.00000000215,        1.04672844028,     3496.03282613400 },
    {        0.00000000182,        5.17782354566,    17253.04110768959 },
    {        0.00000000167,        2.17754938066,     6076.89030155420 },
    {        0.00000000167,        4.75672473773,    17267.26820169119 },
    {        0.00000000149,        0.80944185798,      709.93304855830 },
    {        0.00000000149,        0.17584214812,     9779.10867612540 },
    {        0.00000000192,        5.00680790235,    11015.10647733480 },
    {        0.00000000141,        4.38420380014,     4136.91043351620 },
    {        0.00000000158,        4.60969054283,     9623.68827669120 },
    {        0.00000000133,        3.30507062245,   154717.60988768269 },
    {        0.00000000166,        6.13191098325,        3.52311834900 },
    {        0.00000000181,        1.60715321141,        7.11354700080 },
    {        0.00000000150,        5.28136702046,    13517.87010623340 },
    {        0.00000000142,        0.49788089569,    25158.60171976540 },
    {        0.00000000124,        6.03440459813,     9225.53927328300 },
    {        0.00000000124,        0.99251562639,    65147.61976813770 },
    {        0.00000000128,        1.92032744711,    22483.84857449259 },
    {        0.00000000124,        3.99739675184,     4686.88940770680 },
    {        0.00000000121,        2.37814805239,   167283.76158766550 },
    {        0.00000000123,        5.62315112940,     5642.19824260920 },
    {        0.00000000117,        5.81755956156,    12569.67481833180 },
    {        0.00000000157,        3.40236948518,    16496.36139620240 },
    {        0.00000000130,        2.10499918142,     1589.07289528380 },
    {        0.00000000116,        0.55839966736,     5849.36411211460 },
    {        0.00000000123,        5.81645568991,     6282.09552892320 },
    {        0.00000000110,        0.42176497674,     6172.86952877200 },
    {        0.00000000150,        4.26279600865,     3128.38876509580 },
    {        0.00000000106,        2.27436561182,     5429.87946823940 },
    {        0.00000000114,        1.52894564202,    12559.03815298200 },
    {        0.00000000121,        0.39459045915,    12132.43996210600 },
    {        0.00000000104,        2.41845930933,      426.59819087600 },
    {        0.00000000109,        5.82786999856,    16858.48253293320 },
    {        0.00000000102,        4.46626484910,    23543.23050468179 },
    {        0.00000000100,        2.93812275274,     4535.05943692440 },
    {        0.00000000097,        3.97935904984,     6133.51265285680 },
    {        0.00000000098,        0.87616810121,     6525.80445396540 },
    {        0.00000000110,        6.22339014386,    12146.66705610760 },
    {        0.00000000098,        3.17344332543,    10440.27429260360 },
    {        0.00000000096,        2.44128701699,     3097.88382272579 },
    {        0.00000000099,        5.75642493267,     7342.45778018060 },
    {        0.00000000090,        0.18984343165,    13119.72110282519 },
    {        0.00000000099,        5.58884724219,     2388.89402044920 },
    {        0.00000000091,        6.04278320182,    20426.57109242200 },
    {        0.00000000080,        1.29028142103,     5650.29211067820 },
    {        0.00000000086,        3.94529200528,    10454.50138660520 },
    {        0.00000000085,        1.92836879835,    29088.81141598500 },
    {        0.00000000076,        2.70726317966,   143571.32428481648 },
    {        0.00000000091,        5.63859073351,     8827.39026987480 },
    {        0.00000000076,        1.80783856698,    28286.99048486120 },
    {        0.00000000075,        3.40858032804,     5481.25491886760 },
    {        0.00000000070,        4.53719487231,    17256.63153634140 },
    {        0.00000000089,        1.10064490942,    11769.85369316640 },
    {        0.00000000066,        2.78384937771,      536.80451209540 },
    {        0.00000000068,        3.88199295043,    17260.15465469040 },
    {        0.00000000088,        3.88075269535,     7477.52286021600 },
    {        0.00000000061,        6.17558202197,    11087.28512591840 },
    {        0.00000000060,        4.34824715818,     6206.80977871580 },
    {        0.00000000082,        4.59843208943,     9388.00590941520 },
    {        0.00000000079,        1.63139280394,     4933.20844033260 },
    {        0.00000000081,        1.55550779371,     9380.95967271720 },
    {        0.00000000078,        4.20905757519,     5729.50644714900 },
    {        0.00000000058,        5.76889633224,     3634.62102451840 },
    {        0.00000000060,        0.93813100594,    12721.57209941700 },
    {        0.00000000071,        6.11408885148,     8662.24032356300 },
    {        0.00000000057,        5.48112524468,    18319.53658487960 },
    {        0.00000000070,        0.01749174864,    14945.31617355440 },
    {        0.00000000074,        1.09976045820,    16460.33352952499 },
    {        0.00000000056,        1.63036186739,    15720.83878487840 },
    {        0.00000000055,        4.86788348404,    13095.84266507740 },
    {        0.00000000060,        5.93729841267,    12539.85338018300 },
    {        0.00000000054,        0.22608242982,    15110.46611986620 },
    {        0.00000000054,        2.30250047594,    16062.18452611680 },
    {        0.00000000064,        2.13513754101,     7875.67186362420 },
    {        0.00000000059,        5.87963500139,     5331.35744374080 },
    {        0.00000000058,        2.30546168615,      955.59974160860 },
    {        0.00000000049,        1.93839278478,     5333.90024102160 },
    {        0.00000000054,        5.80331607119,    12043.57428188900 },
    {        0.00000000054,        4.44671053809,     4701.11650170840 },
    {        0.00000000049,        0.30241161485,     6805.65326808520 },
    {        0.00000000046,        2.76898193028,     6709.67404086740 },
    {        0.00000000046,        3.98449608961,    98068.53671630539 },
    {        0.00000000049,        3.72022009896,    12323.42309600880 },
    {        0.00000000045,        3.30065998328,    22003.91463486980 },
    {        0.00000000048,        0.71071357303,     6303.43116939020 },
    {        0.00000000061,        1.66030429494,     6262.30045449900 },
    {        0.00000000047,        1.26317154881,    11919.14086666800 },
    {        0.00000000051,        1.08020906825,    10988.80815753500 },
    {        0.00000000045,        0.89150445122,    51868.24866217880 },
    {        0.00000000043,        0.57756724285,    24356.78078864160 },
    {        0.00000000043,        1.61526242998,     6277.55292568400 },
    {        0.00000000045,        2.96132920534,     8982.81066930900 },
    {        0.00000000043,        5.74295325645,    11403.67699557500 },
    {        0.00000000055,        3.14274403422,    33019.02111220460 },
    {        0.00000000057,        0.06379726305,    15671.08175940660 },
    {        0.00000000041,        2.53761820726,     6262.72053059260 },
    {        0.00000000040,        1.53130436944,    18451.07854656599 },
    {        0.00000000052,        1.71451922581,     1551.04522264800 },
    {        0.00000000055,        0.89439119424,    11933.36796066960 },
    {        0.00000000045,        3.88495384656,    60530.48898574180 },
    {        0.00000000040,        4.75740908001,    38526.57435087200 },
    {        0.00000000040,        3.77498297348,    26087.90314157420 },
    {        0.00000000039,        2.97113832621,     2118.76386037840 },
    {        0.00000000040,        3.36050962605,    10021.83728009940 },
    {        0.00000000047,        1.67051113434,     6303.85124548380 },
    {        0.00000000052,        5.21827368711,    77713.77146812050 },
    {        0.00000000047,        4.26356628717,    21424.46664430340 },
    {        0.00000000037,        1.66712389942,     6819.88036208680 },
    {        0.00000000037,        0.65746800933,    12029.34718788740 },
    {        0.00000000035,        3.36255650927,    24072.92146977640 },
    {        0.00000000036,        0.11087914947,    10344.29506538580 },
    {        0.00000000040,        4.14725582115,     2787.04302385740 },
    {        0.00000000035,        5.93650887012,    31570.79964939120 },
    {        0.00000000036,        2.15108874765,    30774.50164257480 },
    {        0.00000000036,        1.75078825382,    16207.88627150200 },
    {        0.00000000034,        2.75708224536,    12139.55350910680 },
    {        0.00000000034,        6.16891378800,    24491.42579258340 },
    {        0.00000000034,        2.31528650443,    55798.45835839840 },
    {        0.00000000032,        4.21446357042,    15664.03552270859 },
    {        0.00000000034,        3.19783054699,    32217.20018108080 },
    {        0.00000000039,        1.24979117796,     6418.14093002680 },
    {        0.00000000038,        5.89832942685,      640.87760738220 },
    {        0.00000000033,        4.80200120107,    16723.35014259500 },
    {        0.00000000032,        1.72442327688,    27433.88921587499 },
    {        0.00000000035,        4.44608896525,    18202.21671665939 },
    {        0.00000000031,        4.52790731280,     6702.56049386660 },
    {        0.00000000034,        3.96287980676,    18216.44381066100 },
    {        0.00000000030,        5.06259854444,   226858.23855437007 },
    {        0.00000000034,        1.43910280005,    49515.38250840700 },
    {        0.00000000030,        0.29303163371,    13521.75144159140 },
    {        0.00000000029,        2.02633840220,    11609.86254401220 },
    {        0.00000000030,        2.54923230240,     9924.81042151060 },
    {        0.00000000032,        4.91793198558,    11300.58422135640 },
    {        0.00000000030,        0.23284423547,    23581.25817731760 },
    {        0.00000000029,        1.62807736495,      639.89728631400 },
    {        0.00000000028,        3.84568936822,     2699.73481931760 },
    {        0.00000000029,        1.83149729794,    29822.78323632420 },
    {        0.00000000033,        4.60320094415,    19004.64794940840 },
    {        0.00000000027,        1.86151121799,     6288.59877429880 },
    {        0.00000000030,        4.46494072240,    36147.40987730040 },
    {        0.00000000028,        5.19684492912,     5863.59120611620 },
    {        0.00000000035,        4.52695674113,    36949.23080842420 },
    {        0.00000000027,        3.52528177609,    10770.89325626180 },
    {        0.00000000026,        1.48499438453,    11080.17157891760 },
    {        0.00000000035,        2.82154380962,    19402.79695281660 },
    {        0.00000000025,        2.46339998836,     6279.48542133960 },
    {        0.00000000026,        4.97688894643,    16737.57723659660 },
    {        0.00000000027,        0.40827112500,    12964.30070339100 },
    {        0.00000000029,        4.15148654061,    45892.73043315699 },
    {        0.00000000026,        4.56404104286,    17796.95916678580 },
    {        0.00000000025,        2.89309528854,     6286.66627864320 },
    {        0.00000000026,        4.82914580957,     1066.49547719000 },
    {        0.00000000031,        3.93096113738,    29864.33402730900 },
    {        0.00000000024,        6.14987193584,    18606.49894600020 },
    {        0.00000000024,        3.74225964547,    29026.48522950779 },
    {        0.00000000025,        5.70460621565,    27707.54249429480 },
    {        0.00000000025,        5.33928840652,    15141.39079431200 },
    {        0.00000000023,        2.37624087345,    17996.03116822220 },
    {        0.00000000026,        1.34231351782,    18875.52586977400 },
    {        0.00000000022,        5.50791626120,     6245.04817735560 },
    {        0.00000000024,        1.33998410121,    19800.94595622480 },
    {        0.00000000023,        0.22512280890,     6279.78949257360 },
    {        0.00000000022,        1.17576471775,    11925.27409260060 },
    {        0.00000000022,        3.58603606640,     6915.85958930460 },
    {        0.00000000023,        3.21621246666,     6286.36220740920 },
    {        0.00000000029,        2.09564449439,    15265.88651930040 },
    {        0.00000000022,        4.74660932338,    28230.18722269139 },
    {        0.00000000021,        2.30688751432,     5999.21653112620 },
    {        0.00000000028,        3.92087592807,    18208.34994259200 },
    {        0.00000000021,        3.22643339385,    25934.12433108940 },
    {        0.00000000021,        3.04956726238,     6566.93516885660 },
    {        0.00000000027,        5.35645770522,    33794.54372352860 },
    {        0.00000000025,        5.91542362188,     6489.26139842860 },
    {        0.00000000020,        1.52296293311,      135.06508003540 },
    {        0.00000000019,        1.78134428631,   156137.47598479927 },
    {        0.00000000019,        0.34388684087,     5327.47610838280 },
    {        0.00000000026,        3.41701003233,    25287.72379939980 },
    {        0.00000000019,        2.86664271911,    18422.62935909819 },
    {        0.00000000019,        4.71432851499,    77690.75950573849 },
    {        0.00000000019,        2.54227398241,    77736.78343050249 },
    {        0.00000000020,        5.91915117116,    48739.85989708300 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R2_EARTH[] =
  {
    {        0.00004359385,        5.78455133808,     6283.07584999140 },
    {        0.00000123633,        5.57935427994,    12566.15169998280 },
    {        0.00000012342,        3.14159265359,        0.00000000000 },
    {        0.00000008792,        3.62777893099,    77713.77146812050 },
    {        0.00000005689,        1.86958905084,     5573.14280143310 },
    {        0.00000003302,        5.47034879713,    18849.22754997420 },
    {        0.00000001471,        4.47964125007,     5507.55323866740 },
    {        0.00000001013,        2.81323115556,     5223.69391980220 },
    {        0.00000000854,        3.10776566900,     1577.34354244780 },
    {        0.00000001102,        2.84173992403,   161000.68573767410 },
    {        0.00000000648,        5.47348203398,      775.52261132400 },
    {        0.00000000608,        1.37894173533,     6438.49624942560 },
    {        0.00000000499,        4.41649242250,     6286.59896834040 },
    {        0.00000000416,        0.90332697974,    10977.07880469900 },
    {        0.00000000404,        3.20567269530,     5088.62883976680 },
    {        0.00000000351,        1.81081728907,     5486.77784317500 },
    {        0.00000000466,        3.65086758149,     7084.89678111520 },
    {        0.00000000458,        5.38585314743,   149854.40013480789 },
    {        0.00000000304,        3.51015066341,      796.29800681640 },
    {        0.00000000266,        6.17413982699,     6836.64525283380 },
    {        0.00000000281,        1.83874672540,     4694.00295470760 },
    {        0.00000000262,        1.41420110644,     2146.16541647520 },
    {        0.00000000264,        3.14103683911,    71430.69561812909 },
    {        0.00000000319,        5.35037932146,     3154.68708489560 },
    {        0.00000000238,        2.17695432424,      155.42039943420 },
    {        0.00000000229,        4.75969588070,     7234.79425624200 },
    {        0.00000000291,        4.61776401638,     4690.47983635860 },
    {        0.00000000211,        0.21864885298,     4705.73230754360 },
    {        0.00000000204,        4.22895113488,     1349.86740965880 },
    {        0.00000000195,        4.58550676556,      529.69096509460 },
    {        0.00000000255,        2.81442711144,     1748.01641306700 },
    {        0.00000000182,        5.70454011389,     6040.34724601740 },
    {        0.00000000180,        6.02147727878,     4292.33083295040 },
    {        0.00000000186,        1.58690991244,     6309.37416979120 },
    {        0.00000000167,        2.88802733052,     9437.76293488700 },
    {        0.00000000166,        1.99990574734,     8031.09226305840 },
    {        0.00000000160,        0.04412738495,     2544.31441988340 },
    {        0.00000000197,        2.01089431842,     1194.44701022460 },
    {        0.00000000165,        5.78372596774,    83996.84731811189 },
    {        0.00000000214,        3.38300910371,     7632.94325965020 },
    {        0.00000000140,        0.36669664351,    10447.38783960440 },
    {        0.00000000151,        0.95519595275,     6127.65545055720 },
    {        0.00000000136,        1.48417295645,     2352.86615377180 },
    {        0.00000000128,        5.48057748834,      951.71840625060 },
    {        0.00000000126,        5.26866506592,     6279.55273164240 },
    {        0.00000000127,        3.77552907014,     6812.76681508600 },
    {        0.00000000103,        4.95897533789,      398.14900340820 },
    {        0.00000000104,        0.70183576826,     1592.59601363280 },
    {        0.00000000101,        1.14481598642,     3894.18182954220 },
    {        0.00000000131,        0.76624310306,      553.56940284240 },
    {        0.00000000109,        5.41063597567,     6256.77753019160 },
    {        0.00000000078,        5.84775340741,      242.72860397400 },
    {        0.00000000097,        1.94685257714,    11856.21865142450 },
    {        0.00000000100,        5.19725292131,   244287.60000722768 },
    {        0.00000000076,        0.70480774041,     8429.24126646660 },
    {        0.00000000080,        6.18430772683,     1059.38193018920 },
    {        0.00000000068,        5.29561709093,    14143.49524243060 },
    {        0.00000000085,        5.39487308005,    25132.30339996560 },
    {        0.00000000055,        5.16874637579,     7058.59846131540 },
    {        0.00000000063,        0.48494730699,      801.82093112380 },
    {        0.00000000058,        4.07254840265,    13367.97263110660 },
    {        0.00000000051,        3.89696552232,    12036.46073488820 },
    {        0.00000000051,        5.56335232286,     1990.74501704100 },
    {        0.00000000060,        2.25046596710,     8635.94200376320 },
    {        0.00000000049,        5.58163417371,     6290.18939699220 },
    {        0.00000000051,        3.87240194908,       26.29831979980 },
    {        0.00000000051,        4.19300909995,     7860.41939243920 },
    {        0.00000000041,        3.97169191582,    10973.55568635000 },
    {        0.00000000041,        3.57080919230,     7079.37385680780 },
    {        0.00000000056,        2.76959005761,    90955.55169449610 },
    {        0.00000000042,        1.91461189163,     7477.52286021600 },
    {        0.00000000042,        0.42775891995,    10213.28554621100 },
    {        0.00000000042,        1.06925480488,      709.93304855830 },
    {        0.00000000038,        6.17935925345,     9917.69687450980 },
    {        0.00000000050,        0.81691517401,    11506.76976979360 },
    {        0.00000000053,        1.45828359397,   233141.31440436150 },
    {        0.00000000038,        3.32444534628,     5643.17856367740 },
    {        0.00000000047,        6.21543665927,     6681.22485339960 },
    {        0.00000000037,        0.36359309980,    10177.25767953360 },
    {        0.00000000045,        5.29587706357,    10575.40668294180 },
    {        0.00000000034,        5.63446915337,     6525.80445396540 },
    {        0.00000000034,        5.36385158519,     4933.20844033260 },
    {        0.00000000035,        5.36152295839,    25158.60171976540 },
    {        0.00000000042,        5.08837645072,    11015.10647733480 },
    {        0.00000000042,        4.22496037505,    88860.05707098669 },
    {        0.00000000039,        1.99171699618,     6284.05617105960 },
    {        0.00000000029,        3.19088628170,    11926.25441366880 },
    {        0.00000000029,        0.14996158324,    12168.00269657460 },
    {        0.00000000030,        1.58346276808,     9779.10867612540 },
    {        0.00000000026,        4.16210340581,    12569.67481833180 },
    {        0.00000000036,        2.74684637873,     3738.76143010800 },
    {        0.00000000026,        0.72824915320,     1589.07289528380 },
    {        0.00000000031,        5.34906371821,   143571.32428481648 },
    {        0.00000000025,        0.10240267494,    22483.84857449259 },
    {        0.00000000030,        3.47110495524,    14945.31617355440 },
    {        0.00000000026,        3.89359701125,     5753.38488489680 },
    {        0.00000000024,        1.18744224678,     4535.05943692440 },
    {        0.00000000033,        2.99317143244,     3930.20969621960 },
    {        0.00000000024,        1.57253767584,     6496.37494542940 },
    {        0.00000000024,        3.47434797542,     4136.91043351620 },
    {        0.00000000022,        3.91230073719,     6275.96230299060 },
    {        0.00000000025,        4.02978941287,     3128.38876509580 },
    {        0.00000000023,        1.07724492065,    12721.57209941700 },
    {        0.00000000021,        1.89591807148,    16730.46368959580 },
    {        0.00000000025,        2.42198937013,     5729.50644714900 },
    {        0.00000000020,        1.78163489101,    17789.84561978500 },
    {        0.00000000021,        0.49258939822,    29088.81141598500 },
    {        0.00000000026,        4.14947806747,     2388.89402044920 },
    {        0.00000000027,        2.54785812264,     3496.03282613400 },
    {        0.00000000020,        4.29944129273,    16858.48253293320 },
    {        0.00000000021,        5.97796936723,        7.11354700080 },
    {        0.00000000019,        0.80292033311,    16062.18452611680 },
    {        0.00000000024,        4.89894141052,    17260.15465469040 },
    {        0.00000000025,        1.37003752175,     6282.09552892320 },
    {        0.00000000022,        4.92663152168,    18875.52586977400 },
    {        0.00000000023,        5.68902059771,    16460.33352952499 },
    {        0.00000000023,        3.03021283729,    66567.48586525429 },
    {        0.00000000016,        3.89713736666,     5331.35744374080 },
    {        0.00000000016,        5.68562539832,    12559.03815298200 },
    {        0.00000000016,        3.95085099736,     3097.88382272579 },
    {        0.00000000016,        3.99041783945,     6283.14316029419 },
    {        0.00000000020,        6.10643919100,   167283.76158766550 },
    {        0.00000000015,        4.09775914607,    11712.95531823080 },
    {        0.00000000016,        5.71769940700,    17298.18232732620 },
    {        0.00000000016,        3.28894009404,     5884.92684658320 },
    {        0.00000000015,        4.42564243680,    13517.87010623340 },
    {        0.00000000016,        4.43452080930,     6283.00853968860 },
    {        0.00000000014,        1.44384279999,     4164.31198961300 },
    {        0.00000000014,        4.47380919159,    11790.62908865880 },
    {        0.00000000014,        4.77646531825,     7342.45778018060 },
    {        0.00000000011,        2.56768522896,     5481.25491886760 },
    {        0.00000000011,        1.51443332200,    16200.77272450120 },
    {        0.00000000011,        0.88708889185,    21228.39202354580 },
    {        0.00000000014,        4.50116508534,      640.87760738220 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R3_EARTH[] =
  {
    {        0.00000144595,        4.27319433901,     6283.07584999140 },
    {        0.00000006729,        3.91706261708,    12566.15169998280 },
    {        0.00000000774,        0.00000000000,        0.00000000000 },
    {        0.00000000247,        3.73021571217,    18849.22754997420 },
    {        0.00000000036,        2.80081409050,     6286.59896834040 },
    {        0.00000000033,        5.62990083112,     6127.65545055720 },
    {        0.00000000018,        3.72826142555,     6438.49624942560 },
    {        0.00000000016,        4.26011484232,     6525.80445396540 },
    {        0.00000000014,        3.47817116396,     6256.77753019160 },
    {        0.00000000012,        3.55747379482,    25132.30339996560 },
    {        0.00000000010,        4.43995693209,     4705.73230754360 },
    {        0.00000000010,        4.28045255470,    83996.84731811189 },
    {        0.00000000009,        5.36457057335,     6040.34724601740 },
    {        0.00000000008,        1.78458957263,     5507.55323866740 },
    {        0.00000000009,        0.47275199930,     6279.55273164240 },
    {        0.00000000009,        1.34741231639,     6309.37416979120 },
    {        0.00000000009,        0.77092900708,     5729.50644714900 },
    {        0.00000000007,        3.50146897332,     7058.59846131540 },
    {        0.00000000005,        2.89071061700,      775.52261132400 },
    {        0.00000000006,        2.36514111314,     6836.64525283380 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R4_EARTH[] =
  {
    {        0.00000003858,        2.56389016346,     6283.07584999140 },
    {        0.00000000306,        2.26911740541,    12566.15169998280 },
    {        0.00000000053,        3.44031471924,     5573.14280143310 },
    {        0.00000000015,        2.03136359366,    18849.22754997420 },
    {        0.00000000013,        2.05688873673,    77713.77146812050 },
    {        0.00000000007,        4.41218854480,   161000.68573767410 },
    {        0.00000000004,        5.33854414781,     6438.49624942560 },
    {        0.00000000006,        3.81514213664,   149854.40013480789 },
    {        0.00000000004,        4.26602478239,     6127.65545055720 }
  };
  
  const VSOP87Coefficient g_VSOP87B_R5_EARTH[] =
  {
    {        0.00000000086,        1.21805304895,     6283.07584999140 },
    {        0.00000000012,        0.65572878044,    12566.15169998280 }
  };
  
  const VSOP87Coefficient2 g_VSOP87B_L_EARTH[] =
  {
    { g_VSOP87B_L0_EARTH, sizeof(g_VSOP87B_L0_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_L1_EARTH, sizeof(g_VSOP87B_L1_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_L2_EARTH, sizeof(g_VSOP87B_L2_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_L3_EARTH, sizeof(g_VSOP87B_L3_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_L4_EARTH, sizeof(g_VSOP87B_L4_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_L5_EARTH, sizeof(g_VSOP87B_L5_EARTH)/sizeof(VSOP87Coefficient) }
  };
  
  const VSOP87Coefficient2 g_VSOP87B_B_EARTH[] =
  {
    { g_VSOP87B_B0_EARTH, sizeof(g_VSOP87B_B0_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_B1_EARTH, sizeof(g_VSOP87B_B1_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_B2_EARTH, sizeof(g_VSOP87B_B2_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_B3_EARTH, sizeof(g_VSOP87B_B3_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_B4_EARTH, sizeof(g_VSOP87B_B4_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_B5_EARTH, sizeof(g_VSOP87B_B5_EARTH)/sizeof(VSOP87Coefficient) }
  };
  
  const VSOP87Coefficient2 g_VSOP87B_R_EARTH[] =
  {
    { g_VSOP87B_R0_EARTH, sizeof(g_VSOP87B_R0_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_R1_EARTH, sizeof(g_VSOP87B_R1_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_R2_EARTH, sizeof(g_VSOP87B_R2_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_R3_EARTH, sizeof(g_VSOP87B_R3_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_R4_EARTH, sizeof(g_VSOP87B_R4_EARTH)/sizeof(VSOP87Coefficient) },
    { g_VSOP87B_R5_EARTH, sizeof(g_VSOP87B_R5_EARTH)/sizeof(VSOP87Coefficient) }
  };
  
  
  ////////////////////////////// Implementation /////////////////////////////////
  
  double CAAVSOP87B_Earth::L(double JD) noexcept
  {
    return CVSOP87::Calculate(JD, g_VSOP87B_L_EARTH, sizeof(g_VSOP87B_L_EARTH)/sizeof(VSOP87Coefficient2), true);
  }
  
  double CAAVSOP87B_Earth::L_DASH(double JD) noexcept
  {
    return CVSOP87::Calculate_Dash(JD, g_VSOP87B_L_EARTH, sizeof(g_VSOP87B_L_EARTH)/sizeof(VSOP87Coefficient2));
  }
  
  double CAAVSOP87B_Earth::B(double JD) noexcept
  {
    return CVSOP87::Calculate(JD, g_VSOP87B_B_EARTH, sizeof(g_VSOP87B_B_EARTH)/sizeof(VSOP87Coefficient2), true);
  }
  
  double CAAVSOP87B_Earth::B_DASH(double JD) noexcept
  {
    return CVSOP87::Calculate_Dash(JD, g_VSOP87B_B_EARTH, sizeof(g_VSOP87B_B_EARTH)/sizeof(VSOP87Coefficient2));
  }
  
  double CAAVSOP87B_Earth::R(double JD) noexcept
  {
    return CVSOP87::Calculate(JD, g_VSOP87B_R_EARTH, sizeof(g_VSOP87B_R_EARTH)/sizeof(VSOP87Coefficient2), false);
  }
  
  double CAAVSOP87B_Earth::R_DASH(double JD) noexcept
  {
    return CVSOP87::Calculate_Dash(JD, g_VSOP87B_R_EARTH, sizeof(g_VSOP87B_R_EARTH)/sizeof(VSOP87Coefficient2));
  }
  