// VSOP87D Periodic Terms of EARTH. // Data source: ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ . // Only the terms listed by Jean Meeus are copied, ordered // by descending amplitude (first value in each triplet). // JavaScript encoding: Henk-Reints.nl // =========================================================== PlanetPeriodicTerms[planetEarth] = [[[[ 1.75347045673,0.00000000000, 0.00000000000] // 1 EAR L0 ,[ 0.03341656456,4.66925680417, 6283.07584999140] // 2 ,[ 0.00034894275,4.62610241759, 12566.15169998280] // 3 ,[ 0.00003497056,2.74411800971, 5753.38488489680] // 4 ,[ 0.00003417571,2.82886579606, 3.52311834900] // 5 ,[ 0.00003135896,3.62767041758, 77713.77146812050] // 6 ,[ 0.00002676218,4.41808351397, 7860.41939243920] // 7 ,[ 0.00002342687,6.13516237631, 3930.20969621960] // 8 ,[ 0.00001324292,0.74246356352, 11506.76976979360] // 9 ,[ 0.00001273166,2.03709655772, 529.69096509460] // 10 ,[ 0.00001199167,1.10962944315, 1577.34354244780] // 11 ,[ 0.00000990250,5.23268129594, 5884.92684658320] // 12 ,[ 0.00000901855,2.04505443513, 26.29831979980] // 13 ,[ 0.00000857223,3.50849156957, 398.14900340820] // 14 ,[ 0.00000779786,1.17882652114, 5223.69391980220] // 15 ,[ 0.00000753141,2.53339053818, 5507.55323866740] // 16 ,[ 0.00000505264,4.58292563052, 18849.22754997420] // 17 ,[ 0.00000492379,4.20506639861, 775.52261132400] // 18 ,[ 0.00000356655,2.91954116867, 0.06731030280] // 19 ,[ 0.00000317087,5.84901952218, 11790.62908865880] // 20 ,[ 0.00000284125,1.89869034186, 796.29800681640] // 21 ,[ 0.00000271039,0.31488607649, 10977.07880469900] // 22 ,[ 0.00000242810,0.34481140906, 5486.77784317500] // 23 ,[ 0.00000206160,4.80646606059, 2544.31441988340] // 24 ,[ 0.00000205385,1.86947813692, 5573.14280143310] // 25 ,[ 0.00000202261,2.45767795458, 6069.77675455340] // 26 ,[ 0.00000155516,0.83306073807, 213.29909543800] // 27 ,[ 0.00000132212,3.41118275555, 2942.46342329160] // 28 ,[ 0.00000126184,1.08302630210, 20.77539549240] // 29 ,[ 0.00000115132,0.64544911683, 0.98032106820] // 30 ,[ 0.00000102851,0.63599846727, 4694.00295470760] // 31 ,[ 0.00000101895,0.97569221824, 15720.83878487840] // 32 ,[ 0.00000101724,4.26679821365, 7.11354700080] // 33 ,[ 0.00000099206,6.20992940258, 2146.16541647520] // 34 ,[ 0.00000097607,0.68101272270, 155.42039943420] // 35 ,[ 0.00000085803,5.98322631256,161000.68573767410] // 36 ,[ 0.00000085128,1.29870743025, 6275.96230299060] // 37 ,[ 0.00000084711,3.67080093025, 71430.69561812909] // 38 ,[ 0.00000079637,1.80791330700, 17260.15465469040] // 39 ,[ 0.00000078756,3.03698313141, 12036.46073488820] // 40 ,[ 0.00000074651,1.75508916159, 5088.62883976680] // 41 ,[ 0.00000073874,3.50319443167, 3154.68708489560] // 42 ,[ 0.00000073547,4.67926565481, 801.82093112380] // 43 ,[ 0.00000069627,0.83297596966, 9437.76293488700] // 44 ,[ 0.00000062449,3.97763880587, 8827.39026987480] // 45 ,[ 0.00000061148,1.81839811024, 7084.89678111520] // 46 ,[ 0.00000056963,2.78430398043, 6286.59896834040] // 47 ,[ 0.00000056116,4.38694880779, 14143.49524243060] // 48 ,[ 0.00000055577,3.47006009062, 6279.55273164240] // 49 ,[ 0.00000051992,0.18914945834, 12139.55350910680] // 50 ,[ 0.00000051605,1.33282746983, 1748.01641306700] // 51 ,[ 0.00000051145,0.28306864501, 5856.47765911540] // 52 ,[ 0.00000049000,0.48735065033, 1194.44701022460] // 53 ,[ 0.00000041036,5.36817351402, 8429.24126646660] // 54 ,[ 0.00000040938,2.39850881707, 19651.04848109800] // 55 ,[ 0.00000039200,6.16832995016, 10447.38783960440] // 56 ,[ 0.00000036770,6.04133859347, 10213.28554621100] // 57 ,[ 0.00000036596,2.56955238628, 1059.38193018920] // 58 ,[ 0.00000035954,1.70876111898, 2352.86615377180] // 59 ,[ 0.00000035566,1.77597314691, 6812.76681508600] // 60 ,[ 0.00000033291,0.59309499459, 17789.84561978500] // 61 ,[ 0.00000030412,0.44294464135, 83996.84731811189] // 62 ,[ 0.00000030047,2.73975123935, 1349.86740965880] // 63 ,[ 0.00000025352,3.16470953405, 4690.47983635860] // 64 ] ,[[6283.31966747491,0.00000000000, 0.00000000000] // 1 EAR L1 ,[ 0.00206058863,2.67823455584, 6283.07584999140] // 2 ,[ 0.00004303430,2.63512650414, 12566.15169998280] // 3 ,[ 0.00000425264,1.59046980729, 3.52311834900] // 4 ,[ 0.00000119261,5.79557487799, 26.29831979980] // 5 ,[ 0.00000108977,2.96618001993, 1577.34354244780] // 6 ,[ 0.00000093478,2.59212835365, 18849.22754997420] // 7 ,[ 0.00000072122,1.13846158196, 529.69096509460] // 8 ,[ 0.00000067768,1.87472304791, 398.14900340820] // 9 ,[ 0.00000067327,4.40918235168, 5507.55323866740] // 10 ,[ 0.00000059027,2.88797038460, 5223.69391980220] // 11 ,[ 0.00000055976,2.17471680261, 155.42039943420] // 12 ,[ 0.00000045407,0.39803079805, 796.29800681640] // 13 ,[ 0.00000036369,0.46624739835, 775.52261132400] // 14 ,[ 0.00000028958,2.64707383882, 7.11354700080] // 15 ,[ 0.00000020844,5.34138275149, 0.98032106820] // 16 ,[ 0.00000019097,1.84628332577, 5486.77784317500] // 17 ,[ 0.00000018508,4.96855124577, 213.29909543800] // 18 ,[ 0.00000017293,2.99116864949, 6275.96230299060] // 19 ,[ 0.00000016233,0.03216483047, 2544.31441988340] // 20 ,[ 0.00000015832,1.43049285325, 2146.16541647520] // 21 ,[ 0.00000014615,1.20532366323, 10977.07880469900] // 22 ,[ 0.00000012461,2.83432285512, 1748.01641306700] // 23 ,[ 0.00000011877,3.25804815607, 5088.62883976680] // 24 ,[ 0.00000011808,5.27379790480, 1194.44701022460] // 25 ,[ 0.00000011514,2.07502418155, 4694.00295470760] // 26 ,[ 0.00000010641,0.76614199202, 553.56940284240] // 27 ,[ 0.00000009969,1.30262991097, 6286.59896834040] // 28 ,[ 0.00000009721,4.23925472239, 1349.86740965880] // 29 ,[ 0.00000009452,2.69957062864, 242.72860397400] // 30 ,[ 0.00000008577,5.64475868067, 951.71840625060] // 31 ,[ 0.00000007576,5.30062664886, 2352.86615377180] // 32 ,[ 0.00000006385,2.65033984967, 9437.76293488700] // 33 ,[ 0.00000006101,4.66632584188, 4690.47983635860] // 34 ] ,[[ 0.00052918870,0.00000000000, 0.00000000000] // 1 EAR L2 ,[ 0.00008719837,1.07209665242, 6283.07584999140] // 2 ,[ 0.00000309125,0.86728818832, 12566.15169998280] // 3 ,[ 0.00000027339,0.05297871691, 3.52311834900] // 4 ,[ 0.00000016334,5.18826691036, 26.29831979980] // 5 ,[ 0.00000015752,3.68457889430, 155.42039943420] // 6 ,[ 0.00000009541,0.75742297675, 18849.22754997420] // 7 ,[ 0.00000008937,2.05705419118, 77713.77146812050] // 8 ,[ 0.00000006952,0.82673305410, 775.52261132400] // 9 ,[ 0.00000005064,4.66284525271, 1577.34354244780] // 10 ,[ 0.00000004061,1.03057162962, 7.11354700080] // 11 ,[ 0.00000003810,3.44050803490, 5573.14280143310] // 12 ,[ 0.00000003463,5.14074632811, 796.29800681640] // 13 ,[ 0.00000003169,6.05291851171, 5507.55323866740] // 14 ,[ 0.00000003020,1.19246506441, 242.72860397400] // 15 ,[ 0.00000002886,6.11652627155, 529.69096509460] // 16 ,[ 0.00000002714,0.30637881025, 398.14900340820] // 17 ,[ 0.00000002538,2.27992810679, 553.56940284240] // 18 ,[ 0.00000002371,4.38118838167, 5223.69391980220] // 19 ,[ 0.00000002079,3.75435330484, 0.98032106820] // 20 ] ,[[ 0.00000289226,5.84384198723, 6283.07584999140] // 1 EAR L3 ,[ 0.00000034955,0.00000000000, 0.00000000000] // 2 ,[ 0.00000016819,5.48766912348, 12566.15169998280] // 3 ,[ 0.00000002962,5.19577265202, 155.42039943420] // 4 ,[ 0.00000001288,4.72200252235, 3.52311834900] // 5 ,[ 0.00000000714,5.30045809128, 18849.22754997420] // 6 ,[ 0.00000000635,5.96925937141, 242.72860397400] // 7 ] ,[[ 0.00000114084,3.14159265359, 0.00000000000] // 1 EAR L4 ,[ 0.00000007717,4.13446589358, 6283.07584999140] // 2 ,[ 0.00000000765,3.83803776214, 12566.15169998280] // 3 ] ,[[ 0.00000000878,3.14159265359, 0.00000000000] // 1 EAR L5 ]] ,[[[ 0.00000279620,3.19870156017, 84334.66158130829] // 1 EAR B0 ,[ 0.00000101643,5.42248619256, 5507.55323866740] // 2 ,[ 0.00000080445,3.88013204458, 5223.69391980220] // 3 ,[ 0.00000043806,3.70444689758, 2352.86615377180] // 4 ,[ 0.00000031933,4.00026369781, 1577.34354244780] // 5 ] ,[[ 0.00000009030,3.89729061890, 5507.55323866740] // 1 EAR B1 ,[ 0.00000006177,1.73038850355, 5223.69391980220] // 2 ]] ,[[[ 1.00013988799,0.00000000000, 0.00000000000] // 1 EAR R0 ,[ 0.01670699626,3.09846350771, 6283.07584999140] // 2 ,[ 0.00013956023,3.05524609620, 12566.15169998280] // 3 ,[ 0.00003083720,5.19846674381, 77713.77146812050] // 4 ,[ 0.00001628461,1.17387749012, 5753.38488489680] // 5 ,[ 0.00001575568,2.84685245825, 7860.41939243920] // 6 ,[ 0.00000924799,5.45292234084, 11506.76976979360] // 7 ,[ 0.00000542444,4.56409149777, 3930.20969621960] // 8 ,[ 0.00000472110,3.66100022149, 5884.92684658320] // 9 ,[ 0.00000345983,0.96368617687, 5507.55323866740] // 10 ,[ 0.00000328780,5.89983646482, 5223.69391980220] // 11 ,[ 0.00000306784,0.29867139512, 5573.14280143310] // 12 ,[ 0.00000243189,4.27349536153, 11790.62908865880] // 13 ,[ 0.00000211829,5.84714540314, 1577.34354244780] // 14 ,[ 0.00000185752,5.02194447178, 10977.07880469900] // 15 ,[ 0.00000174844,3.01193636534, 18849.22754997420] // 16 ,[ 0.00000109835,5.05510636285, 5486.77784317500] // 17 ,[ 0.00000098316,0.88681311277, 6069.77675455340] // 18 ,[ 0.00000086499,5.68959778254, 15720.83878487840] // 19 ,[ 0.00000085825,1.27083733351,161000.68573767410] // 20 ,[ 0.00000064903,0.27250613787, 17260.15465469040] // 21 ,[ 0.00000062916,0.92177108832, 529.69096509460] // 22 ,[ 0.00000057056,2.01374292014, 83996.84731811189] // 23 ,[ 0.00000055736,5.24159798933, 71430.69561812909] // 24 ,[ 0.00000049384,3.24501240359, 2544.31441988340] // 25 ,[ 0.00000046963,2.57805070386, 775.52261132400] // 26 ,[ 0.00000044661,5.53715807302, 9437.76293488700] // 27 ,[ 0.00000042515,6.01110242003, 6275.96230299060] // 28 ,[ 0.00000038968,5.36071738169, 4694.00295470760] // 29 ,[ 0.00000038245,2.39255343974, 8827.39026987480] // 30 ,[ 0.00000037490,0.82952922332, 19651.04848109800] // 31 ,[ 0.00000036957,4.90107591914, 12139.55350910680] // 32 ,[ 0.00000035660,1.67468058995, 12036.46073488820] // 33 ,[ 0.00000034537,1.84270693282, 2942.46342329160] // 34 ,[ 0.00000033193,0.24370300098, 7084.89678111520] // 35 ,[ 0.00000031921,0.18368229781, 5088.62883976680] // 36 ,[ 0.00000031846,1.77775642085, 398.14900340820] // 37 ,[ 0.00000028464,1.21344868176, 6286.59896834040] // 38 ,[ 0.00000027793,1.89934330904, 6279.55273164240] // 39 ,[ 0.00000026275,4.58896850401, 10447.38783960440] // 40 ] ,[[ 0.00103018608,1.10748969588, 6283.07584999140] // 1 EAR R1 ,[ 0.00001721238,1.06442301418, 12566.15169998280] // 2 ,[ 0.00000702215,3.14159265359, 0.00000000000] // 3 ,[ 0.00000032346,1.02169059149, 18849.22754997420] // 4 ,[ 0.00000030799,2.84353804832, 5507.55323866740] // 5 ,[ 0.00000024971,1.31906709482, 5223.69391980220] // 6 ,[ 0.00000018485,1.42429748614, 1577.34354244780] // 7 ,[ 0.00000010078,5.91378194648, 10977.07880469900] // 8 ,[ 0.00000008654,1.42046854427, 6275.96230299060] // 9 ,[ 0.00000008634,0.27146150602, 5486.77784317500] // 10 ] ,[[ 0.00004359385,5.78455133738, 6283.07584999140] // 1 EAR R2 ,[ 0.00000123633,5.57934722157, 12566.15169998280] // 2 ,[ 0.00000012341,3.14159265359, 0.00000000000] // 3 ,[ 0.00000008792,3.62777733395, 77713.77146812050] // 4 ,[ 0.00000005689,1.86958905084, 5573.14280143310] // 5 ,[ 0.00000003301,5.47027913302, 18849.22754997420] // 6 ] ,[[ 0.00000144595,4.27319435148, 6283.07584999140] // 1 EAR R3 ,[ 0.00000006729,3.91697608662, 12566.15169998280] // 2 ] ,[[ 0.00000003858,2.56384387339, 6283.07584999140] // 1 EAR R4 ]]] // end of EARTH table; Copyright (c) 2000 Henk Reints // ====================================================================================== // function to find start time of a given zodiac sign in a given year (added March 2007): function JDEzodiacSign (year, zodiacSignNo, calendarMode) // 0 = Aries thru 11 = Pisces { var cm = (arguments.length > 2 ? calendarMode : " ") var Z = zodiacSignNo * 30 // longitude of desired zodiac Sign var J = JulianDay(cm,year,(zodiacSignNo+2)%12+1,21) // first estimate = 21st of corresponding month var T = 0.1*JulianCenturyTime(JDEfromJD(J)) // corresponding T in Jul. mill. var L = (ApparentPlanetPosition (planetEarth, T))[0] * deg // Sun's apparent longitude at time T var D = diffdegrees (Z, L) while (Math.abs (D) > 1e-5) // iterate until less than approx. 1 sec (earth does 1 degr/day, 1 day = 86400 sec) { T += D / 360e3 // correction with omg = 360e3 degrees/millenium L = (ApparentPlanetPosition (planetEarth, T))[0] * deg // new longitude at new time D = diffdegrees (Z, L) } return J2000+T*JulCentury*10 // JDE of start of zodiac sign } // =========================================== // end of file; Copyright (c) 2007 Henk Reints