Module: Sekki24::Solar::VSOP87Earth

Defined in:

lib/sekki24/solar/vsop87_earth.rb

Overview

Truncated VSOP87D Earth series (Bretagnon & Francou, 1988). Coefficients are from the official IMCCE VSOP87D.ear distribution.

Constant Summary

LONGITUDE =

[
  [
    [1.75347045673, 0.00000000000, 0.00000000000].freeze,
    [0.03341656456, 4.66925680417, 6283.07584999140].freeze,
    [0.00034894275, 4.62610241759, 12566.15169998280].freeze,
    [0.00003417571, 2.82886579606, 3.52311834900].freeze,
    [0.00003497056, 2.74411800971, 5753.38488489680].freeze,
    [0.00003135896, 3.62767041758, 77713.77146812050].freeze,
    [0.00002676218, 4.41808351397, 7860.41939243920].freeze,
    [0.00002342687, 6.13516237631, 3930.20969621960].freeze,
    [0.00001273166, 2.03709655772, 529.69096509460].freeze,
    [0.00001324292, 0.74246356352, 11506.76976979360].freeze,
    [0.00000901855, 2.04505443513, 26.29831979980].freeze,
    [0.00001199167, 1.10962944315, 1577.34354244780].freeze,
    [0.00000857223, 3.50849156957, 398.14900340820].freeze,
    [0.00000779786, 1.17882652114, 5223.69391980220].freeze,
    [0.00000990250, 5.23268129594, 5884.92684658320].freeze,
    [0.00000753141, 2.53339053818, 5507.55323866740].freeze,
    [0.00000505264, 4.58292563052, 18849.22754997420].freeze,
    [0.00000492379, 4.20506639861, 775.52261132400].freeze,
    [0.00000356655, 2.91954116867, 0.06731030280].freeze,
    [0.00000284125, 1.89869034186, 796.29800681640].freeze,
    [0.00000242810, 0.34481140906, 5486.77784317500].freeze,
    [0.00000317087, 5.84901952218, 11790.62908865880].freeze,
    [0.00000271039, 0.31488607649, 10977.07880469900].freeze,
    [0.00000206160, 4.80646606059, 2544.31441988340].freeze,
    [0.00000205385, 1.86947813692, 5573.14280143310].freeze,
    [0.00000202261, 2.45767795458, 6069.77675455340].freeze,
    [0.00000126184, 1.08302630210, 20.77539549240].freeze,
    [0.00000155516, 0.83306073807, 213.29909543800].freeze,
    [0.00000115132, 0.64544911683, 0.98032106820].freeze,
    [0.00000102851, 0.63599846727, 4694.00295470760].freeze,
    [0.00000101724, 4.26679821365, 7.11354700080].freeze,
    [0.00000099206, 6.20992940258, 2146.16541647520].freeze,
    [0.00000132212, 3.41118275555, 2942.46342329160].freeze,
    [0.00000097607, 0.68101272270, 155.42039943420].freeze,
    [0.00000085128, 1.29870743025, 6275.96230299060].freeze,
    [0.00000074651, 1.75508916159, 5088.62883976680].freeze,
    [0.00000101895, 0.97569221824, 15720.83878487840].freeze,
    [0.00000084711, 3.67080093025, 71430.69561812909].freeze,
    [0.00000073547, 4.67926565481, 801.82093112380].freeze,
    [0.00000073874, 3.50319443167, 3154.68708489560].freeze,
    [0.00000078756, 3.03698313141, 12036.46073488820].freeze,
    [0.00000079637, 1.80791330700, 17260.15465469040].freeze,
    [0.00000085803, 5.98322631256, 161000.68573767410].freeze,
    [0.00000056963, 2.78430398043, 6286.59896834040].freeze,
    [0.00000061148, 1.81839811024, 7084.89678111520].freeze,
    [0.00000069627, 0.83297596966, 9437.76293488700].freeze,
    [0.00000056116, 4.38694880779, 14143.49524243060].freeze,
    [0.00000062449, 3.97763880587, 8827.39026987480].freeze,
    [0.00000051145, 0.28306864501, 5856.47765911540].freeze,
    [0.00000055577, 3.47006009062, 6279.55273164240].freeze,
    [0.00000041036, 5.36817351402, 8429.24126646660].freeze,
    [0.00000051605, 1.33282746983, 1748.01641306700].freeze,
    [0.00000051992, 0.18914945834, 12139.55350910680].freeze,
    [0.00000049000, 0.48735065033, 1194.44701022460].freeze,
    [0.00000039200, 6.16832995016, 10447.38783960440].freeze,
    [0.00000035566, 1.77597314691, 6812.76681508600].freeze,
    [0.00000036770, 6.04133859347, 10213.28554621100].freeze,
    [0.00000036596, 2.56955238628, 1059.38193018920].freeze,
    [0.00000033291, 0.59309499459, 17789.84561978500].freeze,
    [0.00000035954, 1.70876111898, 2352.86615377180].freeze,
    [0.00000040938, 2.39850881707, 19651.04848109800].freeze,
    [0.00000030047, 2.73975123935, 1349.86740965880].freeze,
    [0.00000030412, 0.44294464135, 83996.84731811189].freeze,
    [0.00000023663, 0.48473567763, 8031.09226305840].freeze,
  ].freeze,
  [
    [6283.31966747491, 0.00000000000, 0.00000000000].freeze,
    [0.00206058863, 2.67823455584, 6283.07584999140].freeze,
    [0.00004303430, 2.63512650414, 12566.15169998280].freeze,
    [0.00000425264, 1.59046980729, 3.52311834900].freeze,
    [0.00000108977, 2.96618001993, 1577.34354244780].freeze,
    [0.00000093478, 2.59212835365, 18849.22754997420].freeze,
    [0.00000119261, 5.79557487799, 26.29831979980].freeze,
    [0.00000072122, 1.13846158196, 529.69096509460].freeze,
    [0.00000067768, 1.87472304791, 398.14900340820].freeze,
    [0.00000067327, 4.40918235168, 5507.55323866740].freeze,
    [0.00000059027, 2.88797038460, 5223.69391980220].freeze,
    [0.00000055976, 2.17471680261, 155.42039943420].freeze,
    [0.00000045407, 0.39803079805, 796.29800681640].freeze,
    [0.00000036369, 0.46624739835, 775.52261132400].freeze,
    [0.00000028958, 2.64707383882, 7.11354700080].freeze,
    [0.00000019097, 1.84628332577, 5486.77784317500].freeze,
    [0.00000020844, 5.34138275149, 0.98032106820].freeze,
    [0.00000018508, 4.96855124577, 213.29909543800].freeze,
    [0.00000016233, 0.03216483047, 2544.31441988340].freeze,
    [0.00000017293, 2.99116864949, 6275.96230299060].freeze,
    [0.00000015832, 1.43049285325, 2146.16541647520].freeze,
    [0.00000014615, 1.20532366323, 10977.07880469900].freeze,
    [0.00000011877, 3.25804815607, 5088.62883976680].freeze,
    [0.00000011514, 2.07502418155, 4694.00295470760].freeze,
    [0.00000009721, 4.23925472239, 1349.86740965880].freeze,
    [0.00000009969, 1.30262991097, 6286.59896834040].freeze,
    [0.00000009452, 2.69957062864, 242.72860397400].freeze,
    [0.00000012461, 2.83432285512, 1748.01641306700].freeze,
    [0.00000011808, 5.27379790480, 1194.44701022460].freeze,
    [0.00000008577, 5.64475868067, 951.71840625060].freeze,
    [0.00000010641, 0.76614199202, 553.56940284240].freeze,
    [0.00000007576, 5.30062664886, 2352.86615377180].freeze,
    [0.00000005834, 1.76649917904, 1059.38193018920].freeze,
    [0.00000006385, 2.65033984967, 9437.76293488700].freeze,
  ].freeze,
  [
    [0.00052918870, 0.00000000000, 0.00000000000].freeze,
    [0.00008719837, 1.07209665242, 6283.07584999140].freeze,
    [0.00000309125, 0.86728818832, 12566.15169998280].freeze,
    [0.00000027339, 0.05297871691, 3.52311834900].freeze,
    [0.00000016334, 5.18826691036, 26.29831979980].freeze,
    [0.00000015752, 3.68457889430, 155.42039943420].freeze,
    [0.00000009541, 0.75742297675, 18849.22754997420].freeze,
    [0.00000008937, 2.05705419118, 77713.77146812050].freeze,
    [0.00000006952, 0.82673305410, 775.52261132400].freeze,
    [0.00000005064, 4.66284525271, 1577.34354244780].freeze,
    [0.00000004061, 1.03057162962, 7.11354700080].freeze,
    [0.00000003463, 5.14074632811, 796.29800681640].freeze,
    [0.00000003169, 6.05291851171, 5507.55323866740].freeze,
    [0.00000003020, 1.19246506441, 242.72860397400].freeze,
    [0.00000002886, 6.11652627155, 529.69096509460].freeze,
    [0.00000003810, 3.44050803490, 5573.14280143310].freeze,
    [0.00000002714, 0.30637881025, 398.14900340820].freeze,
    [0.00000002371, 4.38118838167, 5223.69391980220].freeze,
    [0.00000002538, 2.27992810679, 553.56940284240].freeze,
    [0.00000002079, 3.75435330484, 0.98032106820].freeze,
  ].freeze,
  [
    [0.00000289226, 5.84384198723, 6283.07584999140].freeze,
    [0.00000034955, 0.00000000000, 0.00000000000].freeze,
    [0.00000016819, 5.48766912348, 12566.15169998280].freeze,
    [0.00000002962, 5.19577265202, 155.42039943420].freeze,
    [0.00000001288, 4.72200252235, 3.52311834900].freeze,
    [0.00000000635, 5.96925937141, 242.72860397400].freeze,
    [0.00000000714, 5.30045809128, 18849.22754997420].freeze,
  ].freeze,
  [
    [0.00000114084, 3.14159265359, 0.00000000000].freeze,
    [0.00000007717, 4.13446589358, 6283.07584999140].freeze,
    [0.00000000765, 3.83803776214, 12566.15169998280].freeze,
  ].freeze,
  [
    [0.00000000878, 3.14159265359, 0.00000000000].freeze,
  ].freeze,
].freeze

RADIUS =

[
  [
    [1.00013988799, 0.00000000000, 0.00000000000].freeze,
    [0.01670699626, 3.09846350771, 6283.07584999140].freeze,
    [0.00013956023, 3.05524609620, 12566.15169998280].freeze,
    [0.00003083720, 5.19846674381, 77713.77146812050].freeze,
    [0.00001628461, 1.17387749012, 5753.38488489680].freeze,
    [0.00001575568, 2.84685245825, 7860.41939243920].freeze,
    [0.00000924799, 5.45292234084, 11506.76976979360].freeze,
    [0.00000542444, 4.56409149777, 3930.20969621960].freeze,
    [0.00000472110, 3.66100022149, 5884.92684658320].freeze,
    [0.00000328780, 5.89983646482, 5223.69391980220].freeze,
    [0.00000345983, 0.96368617687, 5507.55323866740].freeze,
    [0.00000306784, 0.29867139512, 5573.14280143310].freeze,
    [0.00000174844, 3.01193636534, 18849.22754997420].freeze,
    [0.00000243189, 4.27349536153, 11790.62908865880].freeze,
    [0.00000211829, 5.84714540314, 1577.34354244780].freeze,
    [0.00000185752, 5.02194447178, 10977.07880469900].freeze,
    [0.00000109835, 5.05510636285, 5486.77784317500].freeze,
    [0.00000098316, 0.88681311277, 6069.77675455340].freeze,
    [0.00000086499, 5.68959778254, 15720.83878487840].freeze,
    [0.00000085825, 1.27083733351, 161000.68573767410].freeze,
    [0.00000062916, 0.92177108832, 529.69096509460].freeze,
    [0.00000057056, 2.01374292014, 83996.84731811189].freeze,
    [0.00000064903, 0.27250613787, 17260.15465469040].freeze,
    [0.00000049384, 3.24501240359, 2544.31441988340].freeze,
    [0.00000055736, 5.24159798933, 71430.69561812909].freeze,
    [0.00000042515, 6.01110242003, 6275.96230299060].freeze,
    [0.00000046963, 2.57805070386, 775.52261132400].freeze,
    [0.00000038968, 5.36071738169, 4694.00295470760].freeze,
    [0.00000044661, 5.53715807302, 9437.76293488700].freeze,
    [0.00000035660, 1.67468058995, 12036.46073488820].freeze,
    [0.00000031921, 0.18368229781, 5088.62883976680].freeze,
    [0.00000031846, 1.77775642085, 398.14900340820].freeze,
    [0.00000033193, 0.24370300098, 7084.89678111520].freeze,
    [0.00000038245, 2.39255343974, 8827.39026987480].freeze,
    [0.00000028464, 1.21344868176, 6286.59896834040].freeze,
    [0.00000037490, 0.82952922332, 19651.04848109800].freeze,
    [0.00000036957, 4.90107591914, 12139.55350910680].freeze,
    [0.00000034537, 1.84270693282, 2942.46342329160].freeze,
    [0.00000026275, 4.58896850401, 10447.38783960440].freeze,
    [0.00000024596, 3.78660875483, 8429.24126646660].freeze,
  ].freeze,
  [
    [0.00103018608, 1.10748969588, 6283.07584999140].freeze,
    [0.00001721238, 1.06442301418, 12566.15169998280].freeze,
    [0.00000702215, 3.14159265359, 0.00000000000].freeze,
    [0.00000032346, 1.02169059149, 18849.22754997420].freeze,
    [0.00000030799, 2.84353804832, 5507.55323866740].freeze,
    [0.00000024971, 1.31906709482, 5223.69391980220].freeze,
    [0.00000018485, 1.42429748614, 1577.34354244780].freeze,
    [0.00000010078, 5.91378194648, 10977.07880469900].freeze,
    [0.00000008634, 0.27146150602, 5486.77784317500].freeze,
    [0.00000008654, 1.42046854427, 6275.96230299060].freeze,
  ].freeze,
  [
    [0.00004359385, 5.78455133738, 6283.07584999140].freeze,
    [0.00000123633, 5.57934722157, 12566.15169998280].freeze,
    [0.00000012341, 3.14159265359, 0.00000000000].freeze,
    [0.00000008792, 3.62777733395, 77713.77146812050].freeze,
    [0.00000005689, 1.86958905084, 5573.14280143310].freeze,
    [0.00000003301, 5.47027913302, 18849.22754997420].freeze,
  ].freeze,
  [
    [0.00000144595, 4.27319435148, 6283.07584999140].freeze,
    [0.00000006729, 3.91697608662, 12566.15169998280].freeze,
  ].freeze,
  [
    [0.00000003858, 2.56384387339, 6283.07584999140].freeze,
  ].freeze,
  [
  ].freeze,
].freeze