<?PHP
/*
******************************************************
JUPITER
Heliocentric Coords Module - VSOP 87 Theory - Series C
Heliocentric rectangular X,Y,Z,R coordinates for the
mean dynamical ecliptic and equinox of the date.
Module Range: 1 AD to 4000 AD
Written in PHP v5.2.5
(c) Jay Tanner - NeoProgrammics - 2008 MAY 06 TUE
This source code is released to the public domain.
Jay Tanner
VSOP87@NeoProgrammics.com
******************************************************
*/
function Jupiter_hXYZR($JDArg)
{
// Compute time in Julian millennia from J2000.0
$t = ($JDArg - 2451545.0) / 365250.0;
// Compute the heliocentric coordinates for time ($t).
$hX = Jupiter_X0($t) + Jupiter_X1($t) + Jupiter_X2($t)
+ Jupiter_X3($t) + Jupiter_X4($t) + Jupiter_X5($t);
$hY = Jupiter_Y0($t) + Jupiter_Y1($t) + Jupiter_Y2($t)
+ Jupiter_Y3($t) + Jupiter_Y4($t) + Jupiter_Y5($t);
$hZ = Jupiter_Z0($t) + Jupiter_Z1($t) + Jupiter_Z2($t)
+ Jupiter_Z3($t) + Jupiter_Z4($t) + Jupiter_Z5($t);
// Compute heliocentric radius vector (distance).
$hR = SqRt($hX*$hX + $hY*$hY + $hZ*$hZ);
// Return the heliocentric XYZR coordinates
// in a space delimited data vector.
return "$hX $hY $hZ $hR";
}
/*
Jupiter - VSOP87 Series Version C3 - Rectangular (X,Y,Z) Coordinates
X = X-Coordinate in AU (Astronomical Units)
Y = Y-Coordinate in AU
Z = Z-Coordinate in AU
R*R = (X*X + Y*Y + Z*Z)
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
PHP Language
VSOP87 Functions Source Code
Generated By NeoProgrammics VSOP87 Code Generator
(c) Jay Tanner 2008
Ref:
Astronomy & Astrophysics
vol. 202, p309-p315
Pierre Bretagnon, Gerard Francou
1988
*/
function Jupiter_X0($t) // 1272 terms of order 0
{
$X0 = 5.19591755961*cos(0.59954672200 + 529.9347825781*$t);
$X0 += 0.37839498798*cos(3.39164799011 + 0.2438174835*$t);
$X0 += 0.12593400247*cos(0.94916456487 + 1059.6257476727*$t);
$X0 += 0.01504469362*cos(0.72934997067 + 522.8212355773*$t);
$X0 += 0.01476016965*cos(3.61748058581 + 537.0483295789*$t);
$X0 += 0.00457751771*cos(1.29886948102 + 1589.3167127673*$t);
$X0 += 0.00301186623*cos(5.17699571796 + 7.3573644843*$t);
$X0 += 0.00381996183*cos(1.98605213956 + 102.84895673509*$t);
$X0 += 0.00193179179*cos(5.02674864982 + 426.8420083595*$t);
$X0 += 0.00148291722*cos(6.15618324076 + 110.45013870291*$t);
$X0 += 0.00142171400*cos(5.56556633177 + 633.0275567967*$t);
$X0 += 0.00133443745*cos(0.89287673636 + 213.5429129215*$t);
$X0 += 0.00102719450*cos(6.17016418155 + 1052.51220067191*$t);
$X0 += 0.00087327523*cos(6.27541436099 + 529.44714761109*$t);
$X0 += 0.00114122292*cos(0.01655163411 + 1162.7185218913*$t);
$X0 += 0.00072093376*cos(3.96122861070 + 1066.7392946735*$t);
$X0 += 0.00059268404*cos(4.46187501371 + 949.4194264533*$t);
$X0 += 0.00068329094*cos(3.43833771050 + 846.3266522347*$t);
$X0 += 0.00030209026*cos(2.97106959244 + 205.9417309537*$t);
$X0 += 0.00034007392*cos(1.74694593876 + 419.2408263917*$t);
$X0 += 0.00026616582*cos(4.85226363695 + 323.74923414091*$t);
$X0 += 0.00019727427*cos(1.64894896707 + 2119.00767786191*$t);
$X0 += 0.00017749540*cos(0.84241151614 + 419.72846135871*$t);
$X0 += 0.00017560618*cos(1.95511771720 + 316.6356871401*$t);
$X0 += 0.00016308761*cos(5.73600933766 + 736.1203310153*$t);
$X0 += 0.00016227856*cos(0.86857414313 + 515.70768857651*$t);
$X0 += 0.00014406626*cos(2.06284119096 + 743.23387801611*$t);
$X0 += 0.00011421526*cos(3.48157539864 + 544.1618765797*$t);
$X0 += 0.00010835166*cos(3.19395745172 + 103.3365917021*$t);
$X0 += 0.00012154356*cos(3.75230765024 + 526.00262931501*$t);
$X0 += 0.00011992571*cos(0.58508657370 + 533.8669358412*$t);
$X0 += 0.00008455662*cos(3.47881139969 + 640.1411037975*$t);
$X0 += 0.00008193182*cos(5.57030621208 + 1479.11039154791*$t);
$X0 += 0.00008713455*cos(0.38315206501 + 1692.40948698591*$t);
$X0 += 0.00007420814*cos(5.98301259011 + 956.53297345411*$t);
$X0 += 0.00007565993*cos(0.90590258528 + 1265.81129610991*$t);
$X0 += 0.00008202922*cos(1.41656499571 + 735.6326960483*$t);
$X0 += 0.00007717111*cos(0.13134820979 + 1582.2031657665*$t);
$X0 += 0.00005320837*cos(1.10497796931 + 526.7533888404*$t);
$X0 += 0.00005217759*cos(3.23246701096 + 533.1161763158*$t);
$X0 += 0.00005238212*cos(3.11227009303 + 522.3336006103*$t);
$X0 += 0.00005774716*cos(5.03860697265 + 14.47091148511*$t);
$X0 += 0.00005907614*cos(4.98319674710 + 109.9625037359*$t);
$X0 += 0.00004575512*cos(3.75638993330 + 1376.0176173293*$t);
$X0 += 0.00003939870*cos(4.30901425634 + 1596.43025976811*$t);
$X0 += 0.00004568269*cos(2.14654320251 + 95.7354097343*$t);
$X0 += 0.00003036375*cos(3.94492954790 + 309.0345051723*$t);
$X0 += 0.00002856672*cos(6.01338099597 + 117.5636857037*$t);
$X0 += 0.00002820138*cos(5.26515556940 + 632.5399218297*$t);
$X0 += 0.00002442859*cos(4.24056243704 + 433.9555553603*$t);
$X0 += 0.00002534517*cos(6.18089912855 + 625.9140097959*$t);
$X0 += 0.00002329307*cos(5.93999996459 + 213.0552779545*$t);
$X0 += 0.00002430903*cos(3.89413393897 + 220.6564599223*$t);
$X0 += 0.00002673686*cos(3.18830432379 + 1169.83206889211*$t);
$X0 += 0.00002396896*cos(5.93300784335 + 1045.3986536711*$t);
$X0 += 0.00002503065*cos(1.15446452871 + 1052.02456570489*$t);
$X0 += 0.00001817118*cos(2.38828009078 + 838.72547026689*$t);
$X0 += 0.00002014206*cos(0.16819149452 + 1155.6049748905*$t);
$X0 += 0.00001501452*cos(4.60588864812 + 942.3058794525*$t);
$X0 += 0.00001454916*cos(5.75976807023 + 853.4401992355*$t);
$X0 += 0.00001628897*cos(5.49183726268 + 75.0254160508*$t);
$X0 += 0.00001106760*cos(4.07652960629 + 6.86972951729*$t);
$X0 += 0.00001080777*cos(5.15189894960 + 316.14805217309*$t);
$X0 += 0.00001041755*cos(0.10701428561 + 1795.5022612045*$t);
$X0 += 0.00000996914*cos(3.08308908686 + 1272.9248431107*$t);
$X0 += 0.00000928877*cos(3.11398170655 + 198.82818395289*$t);
$X0 += 0.00000934490*cos(1.99952244525 + 2648.6986429565*$t);
$X0 += 0.00000858575*cos(3.71317000991 + 529.88659846831*$t);
$X0 += 0.00000858481*cos(0.62779584572 + 529.9829666879*$t);
$X0 += 0.00001088006*cos(1.13420142953 + 527.4871020233*$t);
$X0 += 0.00001080077*cos(3.20528251357 + 532.3824631329*$t);
$X0 += 0.00000958229*cos(1.34776425757 + 149.8070146181*$t);
$X0 += 0.00000830762*cos(3.68869745476 + 625.42637482889*$t);
$X0 += 0.00000815889*cos(0.09783778677 + 1059.1381127057*$t);
$X0 += 0.00000838684*cos(4.25222669612 + 3.6883357796*$t);
$X0 += 0.00000956674*cos(5.34413307275 + 379.8839504765*$t);
$X0 += 0.00000694759*cos(2.12065531862 + 1155.1173399235*$t);
$X0 += 0.00000673874*cos(6.09243781947 + 2008.8013566425*$t);
$X0 += 0.00000865777*cos(4.81335091362 + 426.3543733925*$t);
$X0 += 0.00000897730*cos(0.91007512660 + 1368.4164353615*$t);
$X0 += 0.00000667422*cos(1.95480301512 + 1368.9040703285*$t);
$X0 += 0.00000747747*cos(4.71007343847 + 330.8627811417*$t);
$X0 += 0.00000693620*cos(1.33864708601 + 1063.55790093581*$t);
$X0 += 0.00000787813*cos(0.40190120466 + 839.2131052339*$t);
$X0 += 0.00000614978*cos(0.12549858875 + 2111.8941308611*$t);
$X0 += 0.00000680352*cos(0.29385269041 + 528.9715747316*$t);
$X0 += 0.00000678592*cos(4.04690202000 + 530.89799042461*$t);
$X0 += 0.00000574130*cos(0.74562235425 + 2222.1004520805*$t);
$X0 += 0.00000644748*cos(1.92762797797 + 412.12727939089*$t);
$X0 += 0.00000742423*cos(3.95986148740 + 206.42936592071*$t);
$X0 += 0.00000563602*cos(4.06358227588 + 1055.6935944096*$t);
$X0 += 0.00000559331*cos(5.87731196423 + 729.0067840145*$t);
$X0 += 0.00000647539*cos(5.12542038621 + 984.8441491054*$t);
$X0 += 0.00000460071*cos(3.82654707910 + 1073.85284167431*$t);
$X0 += 0.00000403270*cos(0.99319532178 + 412.6149143579*$t);
$X0 += 0.00000539827*cos(5.31630620093 + 38.3768531213*$t);
$X0 += 0.00000407824*cos(2.98828635038 + 910.0625505381*$t);
$X0 += 0.00000319575*cos(3.35886072316 + 941.8182444855*$t);
$X0 += 0.00000301187*cos(4.06443054226 + 1905.70858242391*$t);
$X0 += 0.00000330186*cos(3.60882237102 + 948.9317914863*$t);
$X0 += 0.00000334161*cos(0.95340181567 + 76.50988875911*$t);
$X0 += 0.00000292241*cos(1.85350584256 + 1471.50920958009*$t);
$X0 += 0.00000388960*cos(6.06054382912 + 604.7163811454*$t);
$X0 += 0.00000387023*cos(4.52724734369 + 455.1531840108*$t);
$X0 += 0.00000303530*cos(5.06433323115 + 529.4135177163*$t);
$X0 += 0.00000303139*cos(5.55956712580 + 530.45604743991*$t);
$X0 += 0.00000276704*cos(0.65474572491 + 1486.2239385487*$t);
$X0 += 0.00000383222*cos(4.89517559942 + 3.42521122121*$t);
$X0 += 0.00000267964*cos(2.01438259050 + 309.5221401393*$t);
$X0 += 0.00000270827*cos(1.04116519472 + 1258.6977491091*$t);
$X0 += 0.00000264824*cos(2.94766261780 + 536.5606946119*$t);
$X0 += 0.00000342262*cos(0.65840844301 + 1684.80830501809*$t);
$X0 += 0.00000254392*cos(3.58469491330 + 1062.80714141041*$t);
$X0 += 0.00000289891*cos(4.38886336303 + 742.74624304909*$t);
$X0 += 0.00000227013*cos(4.65796948353 + 2126.1212248627*$t);
$X0 += 0.00000219942*cos(3.05429299635 + 515.2200536095*$t);
$X0 += 0.00000304124*cos(1.75362149529 + 6283.3196674749*$t);
$X0 += 0.00000289590*cos(2.97007145679 + 305.10235190919*$t);
$X0 += 0.00000225217*cos(3.50147007971 + 1699.5230339867*$t);
$X0 += 0.00000192734*cos(1.02002841562 + 508.5941415757*$t);
$X0 += 0.00000181955*cos(0.77882678658 + 1898.5950354231*$t);
$X0 += 0.00000180824*cos(2.76562890852 + 1265.32366114289*$t);
$X0 += 0.00000234431*cos(0.92363421460 + 1056.444353935*$t);
$X0 += 0.00000210412*cos(4.02038896426 + 490.5779066629*$t);
$X0 += 0.00000178960*cos(6.10154360210 + 527.01402127131*$t);
$X0 += 0.00000184077*cos(5.59641213885 + 1471.9968445471*$t);
$X0 += 0.00000177005*cos(4.52323003424 + 532.8555438849*$t);
$X0 += 0.00000197754*cos(6.22787965841 + 1575.08961876571*$t);
$X0 += 0.00000201548*cos(1.60035448064 + 728.5191490475*$t);
$X0 += 0.00000164871*cos(3.47686660224 + 529.1840230527*$t);
$X0 += 0.00000164585*cos(0.86380543039 + 530.68554210351*$t);
$X0 += 0.00000191757*cos(0.30748865043 + 569.29165849331*$t);
$X0 += 0.00000155012*cos(1.25790672042 + 519.63984183961*$t);
$X0 += 0.00000216423*cos(5.68405931071 + 453.1810763355*$t);
$X0 += 0.00000208270*cos(3.39324145545 + 1439.75351563271*$t);
$X0 += 0.00000195461*cos(0.69780042310 + 1685.2959399851*$t);
$X0 += 0.00000158021*cos(4.32825610392 + 525.7419968841*$t);
$X0 += 0.00000155478*cos(0.01448171646 + 534.1275682721*$t);
$X0 += 0.00000142916*cos(2.35979415786 + 11.2895177474*$t);
$X0 += 0.00000166137*cos(3.66026536347 + 224.5886131854*$t);
$X0 += 0.00000139568*cos(3.35575676150 + 647.25465079831*$t);
$X0 += 0.00000194718*cos(5.30500289646 + 1021.49271203491*$t);
$X0 += 0.00000142687*cos(3.06398958840 + 1258.21011414209*$t);
$X0 += 0.00000136501*cos(6.00364083075 + 99.40443843901*$t);
$X0 += 0.00000155156*cos(5.30496926203 + 845.8390172677*$t);
$X0 += 0.00000148749*cos(4.08138644957 + 301.9209581715*$t);
$X0 += 0.00000142483*cos(3.75685487130 + 227.77000692311*$t);
$X0 += 0.00000128042*cos(5.39609470815 + 1162.23088692429*$t);
$X0 += 0.00000129196*cos(1.58923571595 + 1787.9010792367*$t);
$X0 += 0.00000176884*cos(3.17597373171 + 10213.5293636945*$t);
$X0 += 0.00000120579*cos(3.08299978310 + 540.2297233166*$t);
$X0 += 0.00000163945*cos(2.01248197600 + 1.7282901918*$t);
$X0 += 0.00000135003*cos(3.79885672041 + 540.98048284201*$t);
$X0 += 0.00000121846*cos(3.78904805348 + 524.3057082856*$t);
$X0 += 0.00000120032*cos(0.55319497448 + 535.56385687061*$t);
$X0 += 0.00000124238*cos(3.38846678226 + 983.3596763971*$t);
$X0 += 0.00000123682*cos(3.34428700111 + 525.26891613211*$t);
$X0 += 0.00000104430*cos(0.57516865787 + 530.0948412725*$t);
$X0 += 0.00000104430*cos(3.76551699050 + 529.7747238837*$t);
$X0 += 0.00000136458*cos(0.41278945595 + 2001.2001746747*$t);
$X0 += 0.00000115988*cos(3.35547392183 + 750.3474250169*$t);
$X0 += 0.00000104731*cos(3.32722729895 + 551.27542358051*$t);
$X0 += 0.00000100945*cos(2.35927152342 + 1581.7155307995*$t);
$X0 += 0.00000116158*cos(0.99764725383 + 534.6006490241*$t);
$X0 += 0.00000122805*cos(4.90630450089 + 524.5181566067*$t);
$X0 += 0.00000103104*cos(4.41419723891 + 963.6465204549*$t);
$X0 += 0.00000115142*cos(0.31814375241 + 2325.1932262991*$t);
$X0 += 0.00000120928*cos(5.71584928874 + 535.35140854951*$t);
$X0 += 0.00000094293*cos(3.24393572880 + 1802.6158082053*$t);
$X0 += 0.00000092521*cos(0.02282195426 + 1383.13116433011*$t);
$X0 += 0.00000085964*cos(2.53905253590 + 831.6119232661*$t);
$X0 += 0.00000091882*cos(3.03470202176 + 441.06910236111*$t);
$X0 += 0.00000090884*cos(2.64222941727 + 4.1759707466*$t);
$X0 += 0.00000096153*cos(4.88678063240 + 21.5844584859*$t);
$X0 += 0.00000073111*cos(5.81311465775 + 415.7963080956*$t);
$X0 += 0.00000072096*cos(0.31807246212 + 529.72233425701*$t);
$X0 += 0.00000072096*cos(4.02261318625 + 530.1472308992*$t);
$X0 += 0.00000095408*cos(5.93750222727 + 35.6685401356*$t);
$X0 += 0.00000079513*cos(0.68230348252 + 835.28095197081*$t);
$X0 += 0.00000068517*cos(2.77354883412 + 1574.6019837987*$t);
$X0 += 0.00000069848*cos(0.27519157939 + 518.8890823142*$t);
$X0 += 0.00000073288*cos(0.55107431240 + 832.0995582331*$t);
$X0 += 0.00000073790*cos(1.37824862036 + 1044.9110187041*$t);
$X0 += 0.00000062635*cos(0.34734323123 + 2214.98690507971*$t);
$X0 += 0.00000072372*cos(5.64987811590 + 511.7755353134*$t);
$X0 += 0.00000079774*cos(1.04707348735 + 618.8004627951*$t);
$X0 += 0.00000084465*cos(0.44987072707 + 834.7933170038*$t);
$X0 += 0.00000082357*cos(2.58250672354 + 531.4192552864*$t);
$X0 += 0.00000068826*cos(4.98304145215 + 548.0940298428*$t);
$X0 += 0.00000058994*cos(1.32874569406 + 2104.2929488933*$t);
$X0 += 0.00000069760*cos(5.12306055524 + 98.91680347199*$t);
$X0 += 0.00000074013*cos(4.41911169510 + 174.1860370063*$t);
$X0 += 0.00000055680*cos(4.79831502417 + 644.0732570606*$t);
$X0 += 0.00000077878*cos(1.73526543836 + 528.4503098698*$t);
$X0 += 0.00000054479*cos(2.02247283767 + 1898.10740045609*$t);
$X0 += 0.00000055045*cos(2.14129882164 + 639.6534688305*$t);
$X0 += 0.00000053073*cos(1.97157293394 + 1048.58004740881*$t);
$X0 += 0.00000052282*cos(4.62008175590 + 960.4651267172*$t);
$X0 += 0.00000051560*cos(1.64669753295 + 514.95692905111*$t);
$X0 += 0.00000052703*cos(0.30289030550 + 2641.5850959557*$t);
$X0 += 0.00000066188*cos(0.59773291524 + 230.3207533419*$t);
$X0 += 0.00000049711*cos(2.69410394468 + 544.9126361051*$t);
$X0 += 0.00000049029*cos(3.17600907963 + 387.4851324443*$t);
$X0 += 0.00000065960*cos(1.03002405667 + 1364.9719170654*$t);
$X0 += 0.00000052715*cos(1.48379190348 + 1057.1780671179*$t);
$X0 += 0.00000058796*cos(4.35893030098 + 39.1130584317*$t);
$X0 += 0.00000059809*cos(0.66614084819 + 91.8032564712*$t);
$X0 += 0.00000046231*cos(0.25459657690 + 2538.4923217371*$t);
$X0 += 0.00000048382*cos(5.62148696439 + 2428.2860005177*$t);
$X0 += 0.00000060070*cos(3.77993719329 + 1062.0734282275*$t);
$X0 += 0.00000056428*cos(0.17441147343 + 2317.5920443313*$t);
$X0 += 0.00000059945*cos(0.89318521903 + 494.510059926*$t);
$X0 += 0.00000043719*cos(0.36566607858 + 2.20386307129*$t);
$X0 += 0.00000048181*cos(3.78650322165 + 618.3128278281*$t);
$X0 += 0.00000049751*cos(1.88142062033 + 679.4979797127*$t);
$X0 += 0.00000058551*cos(2.31298978175 + 1058.14127496441*$t);
$X0 += 0.00000047067*cos(2.35309949230 + 3178.38960805111*$t);
$X0 += 0.00000052897*cos(1.94858672370 + 106.7811099982*$t);
$X0 += 0.00000041687*cos(0.97719980018 + 1059.67393178251*$t);
$X0 += 0.00000041782*cos(3.44686195540 + 71.09326278771*$t);
$X0 += 0.00000043674*cos(1.21900999269 + 430.7741616226*$t);
$X0 += 0.00000044776*cos(4.88736591079 + 312.70353387701*$t);
$X0 += 0.00000048969*cos(5.94887655147 + 1038.2851066703*$t);
$X0 += 0.00000038530*cos(2.27809788058 + 1148.00379292269*$t);
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$X0 += 0.00000001933*cos(3.60934798531 + 1688.4773337228*$t);
$X0 += 0.00000002173*cos(0.53973434031 + 1065.776086827*$t);
$X0 += 0.00000002273*cos(4.41222326623 + 1589.26852865751*$t);
$X0 += 0.00000002311*cos(0.11223855924 + 36.892380413*$t);
$X0 += 0.00000002005*cos(5.77162207371 + 746.67839631219*$t);
$X0 += 0.00000001716*cos(4.22634329515 + 504.0712874816*$t);
$X0 += 0.00000001970*cos(4.25083421565 + 363.1061100561*$t);
$X0 += 0.00000001879*cos(1.53326034532 + 1994.5742626409*$t);
$X0 += 0.00000001715*cos(0.40254693953 + 2950.8634186115*$t);
$X0 += 0.00000001859*cos(4.76472866777 + 2221.6128171135*$t);
$X0 += 0.00000001760*cos(5.81144237350 + 1051.5489928254*$t);
$X0 += 0.00000001679*cos(0.73859095289 + 2310.4784973305*$t);
$X0 += 0.00000002127*cos(5.79555857294 + 945.22664075931*$t);
$X0 += 0.00000001827*cos(2.98105578454 + 110.49832281271*$t);
$X0 += 0.00000001954*cos(0.06688544879 + 1446.8670626335*$t);
$X0 += 0.00000002077*cos(0.12761917926 + 724.5869957844*$t);
$X0 += 0.00000002096*cos(1.34829485372 + 570.98857952271*$t);
$X0 += 0.00000001615*cos(0.93368590926 + 1052.5603847817*$t);
$X0 += 0.00000001608*cos(0.11434235358 + 555.7982776746*$t);
$X0 += 0.00000001681*cos(5.56771625121 + 516.4414017594*$t);
$X0 += 0.00000001681*cos(5.05615470433 + 543.4281633968*$t);
$X0 += 0.00000001618*cos(2.03312852847 + 112.4101842907*$t);
$X0 += 0.00000001962*cos(5.75393639029 + 836.7654246791*$t);
$X0 += 0.00000001962*cos(2.61234373671 + 836.2777897121*$t);
$X0 += 0.00000001620*cos(4.04601847199 + 683.4301329758*$t);
$X0 += 0.00000001551*cos(2.34280930104 + 593.67068088151*$t);
$X0 += 0.00000001819*cos(2.88219564243 + 3060.5821048639*$t);
$X0 += 0.00000001634*cos(4.46994256209 + 56.3785338191*$t);
$X0 += 0.00000001791*cos(0.10409892110 + 502.8474472042*$t);
$X0 += 0.00000002008*cos(2.52248957084 + 487.3965129252*$t);
$X0 += 0.00000001551*cos(6.21389515122 + 3686.2522971763*$t);
$X0 += 0.00000001511*cos(1.75866420206 + 1518.46726746311*$t);
$X0 += 0.00000001910*cos(1.68897371752 + 228.83628063359*$t);
$X0 += 0.00000001738*cos(0.70952679097 + 1226.45442019471*$t);
$X0 += 0.00000001471*cos(6.05957994367 + 350.5759370839*$t);
$X0 += 0.00000001466*cos(4.96867723168 + 426.7938242497*$t);
$X0 += 0.00000001636*cos(2.43292318068 + 2200.2721761111*$t);
$X0 += 0.00000001940*cos(3.42777184231 + 1432.6399686319*$t);
$X0 += 0.00000001484*cos(3.98627195351 + 995.88984936931*$t);
$X0 += 0.00000001673*cos(4.23658671292 + 557.02211795201*$t);
$X0 += 0.00000002009*cos(3.88072147559 + 417.2807808039*$t);
$X0 += 0.00000001573*cos(1.54985228466 + 425.878800513*$t);
$X0 += 0.00000001562*cos(1.17133703517 + 416.547067621*$t);
$X0 += 0.00000001419*cos(0.22434479279 + 216.72430665921*$t);
$X0 += 0.00000001787*cos(6.08709488043 + 1059.3651152418*$t);
$X0 += 0.00000001600*cos(3.53298161884 + 1268.9926898476*$t);
$X0 += 0.00000001459*cos(1.86682228155 + 426.8901924693*$t);
$X0 += 0.00000001860*cos(0.59126369009 + 1160.27084133651*$t);
$X0 += 0.00000001409*cos(4.21180105945 + 383.81610373959*$t);
$X0 += 0.00000001599*cos(0.99304321709 + 1588.3535049208*$t);
$X0 += 0.00000001385*cos(1.96310882827 + 466.1988842747*$t);
$X0 += 0.00000001645*cos(0.25601088543 + 630.5798762419*$t);
$X0 += 0.00000001867*cos(3.30529498913 + 1744.6120500584*$t);
$X0 += 0.00000001796*cos(2.27749593221 + 424.39432780471*$t);
$X0 += 0.00000001802*cos(1.81980262725 + 572.473052231*$t);
$X0 += 0.00000001563*cos(5.91937041266 + 312.21589891*$t);
$X0 += 0.00000001811*cos(1.18645718578 + 1340.5928946772*$t);
$X0 += 0.00000001342*cos(2.52735020510 + 849.7711705308*$t);
$X0 += 0.00000001409*cos(1.19028163106 + 3472.9532017383*$t);
$X0 += 0.00000001340*cos(5.68788468184 + 1058.3537232855*$t);
$X0 += 0.00000001342*cos(5.03842872086 + 3377.4616094875*$t);
$X0 += 0.00000001764*cos(4.18037485648 + 312.9666584354*$t);
$X0 += 0.00000001801*cos(1.64093908538 + 833.7964792625*$t);
$X0 += 0.00000001801*cos(1.64093908538 + 833.30884429549*$t);
$X0 += 0.00000001504*cos(3.98849552736 + 1052.46401656211*$t);
$X0 += 0.00000001346*cos(0.84106067159 + 1066.7874787833*$t);
$X0 += 0.00000001711*cos(2.11130834468 + 1363.48744435711*$t);
$X0 += 0.00000001382*cos(3.43383168337 + 24.1352049047*$t);
$X0 += 0.00000001636*cos(0.25591141604 + 422.64922266551*$t);
$X0 += 0.00000001714*cos(2.66553451397 + 1165.16620244611*$t);
$X0 += 0.00000001547*cos(0.43253240963 + 1097.7587833105*$t);
$X0 += 0.00000001706*cos(0.40870999807 + 1696.341640249*$t);
$X0 += 0.00000001293*cos(2.98652787499 + 394.5986794451*$t);
$X0 += 0.00000001361*cos(0.44504530774 + 1579.0217720288*$t);
$X0 += 0.00000001329*cos(2.37930563293 + 1628.6735886825*$t);
$X0 += 0.00000001657*cos(2.95697828072 + 473.31243127551*$t);
$X0 += 0.00000001342*cos(0.89798927248 + 827.67977000299*$t);
$X0 += 0.00000001353*cos(4.16385577520 + 2499.1354458219*$t);
$X0 += 0.00000001322*cos(4.93972524369 + 1464.8832975463*$t);
$X0 += 0.00000001528*cos(0.29983648075 + 138.76131435421*$t);
$X0 += 0.00000001507*cos(4.31558459369 + 774.98957196349*$t);
$X0 += 0.00000001375*cos(3.98046179765 + 1093.5659976165*$t);
$X0 += 0.00000001393*cos(0.72013842017 + 913.9947038012*$t);
$X0 += 0.00000001302*cos(1.30247879244 + 494.7225082471*$t);
$X0 += 0.00000001266*cos(0.05484214471 + 1162.7667060011*$t);
$X0 += 0.00000001602*cos(3.97091760080 + 611.1992808273*$t);
$X0 += 0.00000001243*cos(5.45126497249 + 561.6904765255*$t);
$X0 += 0.00000001234*cos(1.89694179274 + 436.4032359151*$t);
$X0 += 0.00000001258*cos(3.15497421074 + 1162.67033778151*$t);
$X0 += 0.00000001490*cos(4.44362414485 + 1468.06469128401*$t);
$X0 += 0.00000001419*cos(3.11151373878 + 1138.3394995031*$t);
$X0 += 0.00000001394*cos(0.44413366244 + 958.9806540089*$t);
$X0 += 0.00000001290*cos(5.15722188790 + 990.47322339791*$t);
$X0 += 0.00000001199*cos(0.62664940478 + 414.31183538731*$t);
$X0 += 0.00000001364*cos(3.81523518368 + 252.8997888367*$t);
$X0 += 0.00000001494*cos(1.51661927481 + 1485.7363035817*$t);
$X0 += 0.00000001367*cos(1.47066835723 + 527.9626749028*$t);
$X0 += 0.00000001464*cos(3.90911748944 + 1066.69111056371*$t);
$X0 += 0.00000001248*cos(3.01032171032 + 9.3174100721*$t);
$X0 += 0.00000001194*cos(5.78008609111 + 774.25336665311*$t);
$X0 += 0.00000001328*cos(2.33133276999 + 482.9767246951*$t);
$X0 += 0.00000001176*cos(5.65248871466 + 633.07574090651*$t);
$X0 += 0.00000001352*cos(0.11794612755 + 696.7634551001*$t);
$X0 += 0.00000001235*cos(1.29434837440 + 1027.3824187583*$t);
$X0 += 0.00000001192*cos(3.03820680249 + 565.1470569091*$t);
$X0 += 0.00000001337*cos(5.18331371440 + 427.805216206*$t);
$X0 += 0.00000001581*cos(0.42492742452 + 642.58878435231*$t);
$X0 += 0.00000001186*cos(4.67061724657 + 2115.0755245988*$t);
$X0 += 0.00000001339*cos(6.03072294407 + 1161.7553140448*$t);
$X0 += 0.00000001260*cos(2.78492021778 + 633.9907646432*$t);
$X0 += 0.00000001309*cos(3.48082829130 + 1163.6817297378*$t);
$X0 += 0.00000001221*cos(4.50279420601 + 2538.00468677009*$t);
$X0 += 0.00000001133*cos(4.12042287083 + 738.814089786*$t);
$X0 += 0.00000001172*cos(2.47236884204 + 632.9793726869*$t);
$X0 += 0.00000001120*cos(4.59706955368 + 709.29362807231*$t);
$X0 += 0.00000001340*cos(5.63507440526 + 1060.8977720599*$t);
$X0 += 0.00000001126*cos(1.12456010627 + 2729.96314120569*$t);
$X0 += 0.00000001417*cos(0.94598908604 + 1364.4842820984*$t);
$X0 += 0.00000001112*cos(5.29416320994 + 1066.2180298117*$t);
$X0 += 0.00000001312*cos(1.35334544403 + 981.8752036888*$t);
$X0 += 0.00000001496*cos(5.90360357966 + 388.70897272171*$t);
$X0 += 0.00000001423*cos(1.37785950879 + 586.5571338807*$t);
$X0 += 0.00000001221*cos(3.63981220961 + 269.6776292571*$t);
$X0 += 0.00000001088*cos(1.29669383617 + 1280.0383901115*$t);
$X0 += 0.00000001089*cos(5.17675407458 + 946.97174589851*$t);
$X0 += 0.00000001132*cos(0.51083517505 + 1664.09831133461*$t);
$X0 += 0.00000001433*cos(2.05202099214 + 635.4752373515*$t);
$X0 += 0.00000001427*cos(2.97093867648 + 597.11519917759*$t);
$X0 += 0.00000001389*cos(4.08780249338 + 636.47207509279*$t);
$X0 += 0.00000001191*cos(5.09661092725 + 1887.5493351592*$t);
$X0 += 0.00000001420*cos(3.40607940834 + 1140.1394863965*$t);
$X0 += 0.00000001420*cos(0.26448675475 + 1140.6271213635*$t);
$X0 += 0.00000001082*cos(0.52075379881 + 915.4791765095*$t);
$X0 += 0.00000001134*cos(0.14574453315 + 102.3276918733*$t);
$X0 += 0.00000001061*cos(1.90789304117 + 925.0404040651*$t);
$X0 += 0.00000001302*cos(4.07370610626 + 637.2203424907*$t);
$X0 += 0.00000001036*cos(2.10557063879 + 1798.68365494221*$t);
$X0 += 0.00000001210*cos(1.65592259758 + 31.73638687251*$t);
$X0 += 0.00000001210*cos(1.65592259758 + 31.24875190549*$t);
$X0 += 0.00000001439*cos(3.00324185430 + 244.0747665915*$t);
$X0 += 0.00000001020*cos(2.05257171773 + 732.45130231059*$t);
$X0 += 0.00000001025*cos(0.81896733353 + 951.86710700811*$t);
$X0 += 0.00000001018*cos(2.44176419905 + 623.4663292411*$t);
$X0 += 0.00000001027*cos(0.61184452819 + 1474.9176058539*$t);
$X0 += 0.00000001114*cos(0.64613208093 + 103.37022159689*$t);
$X0 += 0.00000001040*cos(2.40824650249 + 314.1880065853*$t);
$X0 += 0.00000001371*cos(1.13698163960 + 4590.6663630055*$t);
$X0 += 0.00000001256*cos(3.34855371696 + 73.0533083755*$t);
$X0 += 0.00000001059*cos(5.69757951835 + 3590.7607049255*$t);
$X0 += 0.00000001008*cos(2.53682498993 + 1140.8902459219*$t);
$X0 += 0.00000001288*cos(5.39489850289 + 2004.60857094851*$t);
$X0 += 0.00000001033*cos(2.65742933066 + 1028.6062590357*$t);
$X0 += 0.00000001085*cos(3.78966042020 + 395.34943897051*$t);
$X0 += 0.00000000971*cos(1.34946807177 + 665.27088571111*$t);
$X0 += 0.00000001358*cos(4.62268264011 + 448.9334088873*$t);
$X0 += 0.00000000980*cos(3.55994269076 + 961.94959942551*$t);
$X0 += 0.00000000994*cos(0.40039858601 + 3796.4586183957*$t);
$X0 += 0.00000001202*cos(5.54033969791 + 453.66871130251*$t);
$X0 += 0.00000001028*cos(0.48891270332 + 2524.2652277355*$t);
$X0 += 0.00000001040*cos(5.47890663354 + 170.51700830159*$t);
$X0 += 0.00000000955*cos(3.71242781522 + 645.5577297689*$t);
$X0 += 0.00000001241*cos(4.39110413012 + 1048.0924124418*$t);
$X0 += 0.00000001076*cos(2.97284479790 + 2957.48933064529*$t);
$X0 += 0.00000001230*cos(2.33341924042 + 1354.6769763269*$t);
$X0 += 0.00000001240*cos(5.94758800259 + 610.93615626891*$t);
$X0 += 0.00000001240*cos(5.94758800259 + 610.44852130189*$t);
$X0 += 0.00000001022*cos(3.69588867080 + 276.79117625789*$t);
$X0 += 0.00000000924*cos(2.41983440650 + 842.65762352999*$t);
$X0 += 0.00000001083*cos(1.92054379034 + 1901.7764291608*$t);
$X0 += 0.00000001243*cos(4.71980053276 + 671.1605924345*$t);
$X0 += 0.00000001013*cos(2.54761722905 + 3376.9739745205*$t);
$X0 += 0.00000001100*cos(5.92802097748 + 1053.0334655337*$t);
$X0 += 0.00000001099*cos(2.80854803975 + 611.8299281462*$t);
$X0 += 0.00000001099*cos(4.67370721199 + 448.03963701001*$t);
$X0 += 0.00000001033*cos(5.44055724404 + 632.06434895021*$t);
$X0 += 0.00000000957*cos(3.89598622213 + 2965.09051261311*$t);
$X0 += 0.00000001030*cos(3.34763414892 + 1141.3778808889*$t);
$X0 += 0.00000001196*cos(2.56247891942 + 8520.87605922509*$t);
$X0 += 0.00000000967*cos(0.19420587029 + 829.0611768473*$t);
$X0 += 0.00000001166*cos(1.68067516200 + 1511.5661687834*$t);
$X0 += 0.00000001147*cos(5.62238808631 + 1390.2447113309*$t);
$X0 += 0.00000000873*cos(1.78825991988 + 322.26476143261*$t);
$X0 += 0.00000001137*cos(1.25214902883 + 950.90389916161*$t);
$X0 += 0.00000001201*cos(2.52928106613 + 1436.2969352491*$t);
$X0 += 0.00000000903*cos(0.04697695828 + 1475.9289978102*$t);
$X0 += 0.00000000858*cos(5.65232336931 + 3480.5543837061*$t);
$X0 += 0.00000001061*cos(5.43420240433 + 1014.3791650341*$t);
$X0 += 0.00000000852*cos(3.85820066843 + 1305.16817202511*$t);
$X0 += 0.00000001121*cos(3.79729993404 + 2861.9977383945*$t);
$X0 += 0.00000000978*cos(1.58128047477 + 1262.6299023722*$t);
$X0 += 0.00000000918*cos(3.86741534242 + 341.01470952831*$t);
$X0 += 0.00000000886*cos(2.01115688146 + 1482.2917852856*$t);
$X0 += 0.00000001153*cos(1.03307352866 + 1055.95671896799*$t);
$X0 += 0.00000001011*cos(2.13326219711 + 1379.9497705924*$t);
$X0 += 0.00000000844*cos(4.80951949791 + 231.70216018621*$t);
$X0 += 0.00000000939*cos(4.90771963793 + 1703.4551872498*$t);
$X0 += 0.00000001029*cos(2.73261618718 + 2545.6058687379*$t);
$X0 += 0.00000001042*cos(0.93684376629 + 297.8857390444*$t);
$X0 += 0.00000001170*cos(1.11117592168 + 46.22660543249*$t);
$X0 += 0.00000000962*cos(3.48479854663 + 37.88921815429*$t);
$X0 += 0.00000000877*cos(2.57722816875 + 357.68948408471*$t);
$X0 += 0.00000000988*cos(3.77368109282 + 7211.1596359777*$t);
$X0 += 0.00000000892*cos(5.41512877404 + 1571.1574655026*$t);
$X0 += 0.00000001109*cos(1.10719434979 + 348.1282565291*$t);
$X0 += 0.00000000827*cos(1.26246251342 + 20956.5058750001*$t);
$X0 += 0.00000000934*cos(3.64280443414 + 525.514994348*$t);
$X0 += 0.00000000914*cos(1.85188487603 + 1031.3145720214*$t);
$X0 += 0.00000000998*cos(3.87130911943 + 1505.9370944909*$t);
$X0 += 0.00000001003*cos(5.35180604374 + 1681.36378672201*$t);
$X0 += 0.00000001043*cos(1.20439768274 + 3384.5751564883*$t);
$X0 += 0.00000001133*cos(1.03655442301 + 1357.8583700646*$t);
$X0 += 0.00000001118*cos(3.02473429596 + 892.7970751507*$t);
$X0 += 0.00000000818*cos(3.19817529862 + 1153.1572943357*$t);
$X0 += 0.00000000883*cos(4.94847300730 + 533.45790092711*$t);
$X0 += 0.00000000883*cos(5.67539794824 + 526.4116642291*$t);
$X0 += 0.00000000966*cos(0.88110178776 + 381.8560581518*$t);
$X0 += 0.00000001014*cos(1.05859637798 + 50.6463936626*$t);
$X0 += 0.00000001014*cos(1.05859637798 + 50.15875869559*$t);
$X0 += 0.00000000977*cos(3.07712828393 + 25035.39094090229*$t);
$X0 += 0.00000000933*cos(3.89970622027 + 671.8967977449*$t);
$X0 += 0.00000000898*cos(2.17511781419 + 2516.66404576769*$t);
$X0 += 0.00000000787*cos(4.25746871915 + 1056.917434687*$t);
$X0 += 0.00000000788*cos(6.10879216964 + 4002.64416683289*$t);
$X0 += 0.00000000950*cos(2.54359450579 + 532.6285413488*$t);
$X0 += 0.00000000839*cos(3.46904179365 + 4686.6455902233*$t);
$X0 += 0.00000000965*cos(0.47908461253 + 1520.1641884925*$t);
$X0 += 0.00000001017*cos(3.23008830093 + 1020.0082393266*$t);
$X0 += 0.00000000820*cos(0.33194380569 + 348.3913810875*$t);
$X0 += 0.00000000786*cos(3.36629143378 + 178.11819026941*$t);
$X0 += 0.00000000929*cos(2.33109721672 + 1130.47519297691*$t);
$X0 += 0.00000000779*cos(6.05972875769 + 224.1009782184*$t);
$X0 += 0.00000000951*cos(0.17977055776 + 25021.16384690069*$t);
$X0 += 0.00000000917*cos(5.17636386869 + 3899.5513926143*$t);
$X0 += 0.00000000763*cos(6.06912796746 + 432.2586343309*$t);
$X0 += 0.00000000841*cos(3.14888189898 + 643.32249753521*$t);
$X0 += 0.00000000782*cos(2.23847303429 + 1731.76636290111*$t);
$X0 += 0.00000000945*cos(5.41706658717 + 758.5272457282*$t);
$X0 += 0.00000001032*cos(4.77033383542 + 3075.2968338325*$t);
$X0 += 0.00000000899*cos(1.08525568253 + 1053.4059725492*$t);
$X0 += 0.00000000822*cos(3.63842218035 + 1354.18934135989*$t);
$X0 += 0.00000000742*cos(2.00349570279 + 896.7292284138*$t);
$X0 += 0.00000000989*cos(0.49078513563 + 493.2862196486*$t);
$X0 += 0.00000000989*cos(3.84990051274 + 566.58334550761*$t);
$X0 += 0.00000000742*cos(4.21700173393 + 948.4562186068*$t);
$X0 += 0.00000000743*cos(0.15399551563 + 3267.2552882681*$t);
$X0 += 0.00000000785*cos(4.75769615946 + 5091.90814063229*$t);
$X0 += 0.00000000735*cos(1.17205944527 + 1689.2280932482*$t);
$X0 += 0.00000000902*cos(0.31191653892 + 3487.66793070691*$t);
$X0 += 0.00000000766*cos(4.59479371633 + 402.4629859713*$t);
$X0 += 0.00000000870*cos(5.19110249005 + 522.2999707155*$t);
$X0 += 0.00000000870*cos(2.29117581191 + 537.5695944407*$t);
$X0 += 0.00000000789*cos(1.67089119717 + 950.3826342998*$t);
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$X0 += 0.00000000467*cos(1.83754367407 + 2833.0559154243*$t);
$X0 += 0.00000000423*cos(0.03642510895 + 799.8562293187*$t);
$X0 += 0.00000000591*cos(2.46012843727 + 1819.3936486257*$t);
$X0 += 0.00000000442*cos(1.08908006468 + 1069.18697522831*$t);
$X0 += 0.00000000538*cos(1.02927939001 + 1065.35788782919*$t);
$X0 += 0.00000000472*cos(2.28157145696 + 460.2946233363*$t);
$X0 += 0.00000000432*cos(6.00978313661 + 2080.8746422241*$t);
$X0 += 0.00000000415*cos(2.96241779304 + 4760.34895633411*$t);
$X0 += 0.00000000455*cos(3.03366464226 + 2527.4466214732*$t);
$X0 += 0.00000000506*cos(0.36247155090 + 535.6669227346*$t);
$X0 += 0.00000000408*cos(3.08015718534 + 237.4343003427*$t);
$X0 += 0.00000000558*cos(1.03001492173 + 2348.087775979*$t);
$X0 += 0.00000000506*cos(5.25352948963 + 2424.3538472546*$t);
$X0 += 0.00000000496*cos(6.06044529767 + 4120.4516700201*$t);
$X0 += 0.00000000496*cos(2.91885264408 + 4119.96403505309*$t);
$X0 += 0.00000000432*cos(1.29582024184 + 1301.236018762*$t);
$X0 += 0.00000000550*cos(5.43475108780 + 8837.26792888169*$t);
$X0 += 0.00000000546*cos(3.31132091883 + 761.98382611181*$t);
$X0 += 0.00000000546*cos(0.16972826524 + 761.49619114479*$t);
$X0 += 0.00000000435*cos(6.11673595133 + 205.8935468439*$t);
$X0 += 0.00000000463*cos(4.32054580531 + 633.5488216585*$t);
$X0 += 0.00000000408*cos(1.79247263237 + 1482.55490984399*$t);
$X0 += 0.00000000483*cos(0.34268842153 + 2879.2632137819*$t);
$X0 += 0.00000000511*cos(3.60313597493 + 1670.5812110165*$t);
$X0 += 0.00000000421*cos(5.74575757785 + 638.65663108921*$t);
$X0 += 0.00000000512*cos(4.63462743085 + 1474.4299708869*$t);
$X0 += 0.00000000388*cos(5.80743867551 + 2425.10460678*$t);
$X0 += 0.00000000483*cos(5.61088897560 + 154.0546820663*$t);
$X0 += 0.00000000412*cos(3.95817641351 + 83.6234357599*$t);
$X0 += 0.00000000384*cos(0.10024887062 + 673.8689054202*$t);
$X0 += 0.00000000400*cos(2.77474684816 + 2755.7235704382*$t);
$X0 += 0.00000000500*cos(0.77216947100 + 1973.37663399041*$t);
$X0 += 0.00000000380*cos(6.00308091678 + 3583.64715792471*$t);
$X0 += 0.00000000509*cos(6.23294075938 + 5856.23384163189*$t);
$X0 += 0.00000000392*cos(3.41709820264 + 6328.0812106155*$t);
$X0 += 0.00000000391*cos(5.34392743186 + 670.89996000361*$t);
$X0 += 0.00000000397*cos(5.90731747027 + 50586.48957038109*$t);
$X0 += 0.00000000468*cos(5.85291318311 + 1970.9289534356*$t);
$X0 += 0.00000000491*cos(6.06026074383 + 1288.7058457898*$t);
$X0 += 0.00000000491*cos(2.91866809024 + 1288.21821082279*$t);
$X0 += 0.00000000472*cos(5.64551789445 + 416.532513406*$t);
$X0 += 0.00000000491*cos(2.66310290421 + 601.5349874077*$t);
$X0 += 0.00000000476*cos(0.29096139335 + 2015.42726867629*$t);
return $X0;
}
function Jupiter_X1($t) // 638 terms of order 1
{
$X1 = 0.01912556490*cos(4.23275123829 + 0.2438174835*$t);
$X1 += 0.00634902259*cos(0.10706507632 + 1059.6257476727*$t);
$X1 += 0.00600483021*cos(2.42939944495 + 522.8212355773*$t);
$X1 += 0.00589005176*cos(1.91564604125 + 537.0483295789*$t);
$X1 += 0.00081432741*cos(3.47331266459 + 7.3573644843*$t);
$X1 += 0.00046191617*cos(0.45737291603 + 1589.3167127673*$t);
$X1 += 0.00037242394*cos(3.38536248935 + 529.9347825781*$t);
$X1 += 0.00032508552*cos(1.74680960116 + 1052.51220067191*$t);
$X1 += 0.00031231184*cos(2.34701987017 + 1066.7392946735*$t);
$X1 += 0.00025950740*cos(5.52780779320 + 529.44714761109*$t);
$X1 += 0.00020232242*cos(4.46840569934 + 110.45013870291*$t);
$X1 += 0.00017941640*cos(4.02099530935 + 426.8420083595*$t);
$X1 += 0.00013643757*cos(0.30427911223 + 633.0275567967*$t);
$X1 += 0.00012962263*cos(2.56767956763 + 515.70768857651*$t);
$X1 += 0.00009123979*cos(1.78092724073 + 544.1618765797*$t);
$X1 += 0.00008098978*cos(6.15662077289 + 949.4194264533*$t);
$X1 += 0.00007143102*cos(3.17367507069 + 323.74923414091*$t);
$X1 += 0.00004115125*cos(4.68496126162 + 205.9417309537*$t);
$X1 += 0.00004370464*cos(1.14540545130 + 736.1203310153*$t);
$X1 += 0.00003400571*cos(2.90100216943 + 526.7533888404*$t);
$X1 += 0.00003332481*cos(1.43702485996 + 533.1161763158*$t);
$X1 += 0.00003869655*cos(3.33803842759 + 14.47091148511*$t);
$X1 += 0.00003043986*cos(1.65416267419 + 526.00262931501*$t);
$X1 += 0.00003013156*cos(2.59693904643 + 419.72846135871*$t);
$X1 += 0.00003001886*cos(2.68361926800 + 533.8669358412*$t);
$X1 += 0.00002892493*cos(4.90922246003 + 103.3365917021*$t);
$X1 += 0.00002393125*cos(3.62223412280 + 316.6356871401*$t);
$X1 += 0.00002989944*cos(0.80713415295 + 2119.00767786191*$t);
$X1 += 0.00002354966*cos(3.28995924205 + 109.9625037359*$t);
$X1 += 0.00001853775*cos(2.76966317285 + 1596.43025976811*$t);
$X1 += 0.00001972856*cos(5.08955117905 + 956.53297345411*$t);
$X1 += 0.00001820762*cos(0.66887392674 + 743.23387801611*$t);
$X1 += 0.00001810752*cos(3.83905864684 + 95.7354097343*$t);
$X1 += 0.00001531701*cos(4.31865285485 + 117.5636857037*$t);
$X1 += 0.00001894874*cos(1.86455327598 + 1582.2031657665*$t);
$X1 += 0.00001527752*cos(1.49162793541 + 640.1411037975*$t);
$X1 += 0.00001634391*cos(1.39765618229 + 1045.3986536711*$t);
$X1 += 0.00001088512*cos(1.51681538001 + 625.9140097959*$t);
$X1 += 0.00001025988*cos(2.57282118549 + 433.9555553603*$t);
$X1 += 0.00001045564*cos(2.53075471830 + 1265.81129610991*$t);
$X1 += 0.00000977087*cos(2.19851142066 + 220.6564599223*$t);
$X1 += 0.00000984636*cos(1.42900900580 + 1169.83206889211*$t);
$X1 += 0.00000805130*cos(0.01887809686 + 942.3058794525*$t);
$X1 += 0.00000821829*cos(5.66460920839 + 309.0345051723*$t);
$X1 += 0.00000798891*cos(1.85669438695 + 1155.6049748905*$t);
$X1 += 0.00000834956*cos(5.16168526363 + 522.3336006103*$t);
$X1 += 0.00000600935*cos(2.35527790752 + 6.86972951729*$t);
$X1 += 0.00000752130*cos(0.12867542563 + 1162.7185218913*$t);
$X1 += 0.00000539923*cos(4.24283648453 + 853.4401992355*$t);
$X1 += 0.00000599196*cos(4.21898955063 + 213.0552779545*$t);
$X1 += 0.00000497018*cos(4.81516413781 + 198.82818395289*$t);
$X1 += 0.00000476930*cos(5.90061449066 + 1692.40948698591*$t);
$X1 += 0.00000499703*cos(3.02089381667 + 330.8627811417*$t);
$X1 += 0.00000383795*cos(2.17189096891 + 1073.85284167431*$t);
$X1 += 0.00000504945*cos(5.88136662932 + 1059.1381127057*$t);
$X1 += 0.00000402231*cos(6.21084762941 + 1479.11039154791*$t);
$X1 += 0.00000373538*cos(1.28962855954 + 729.0067840145*$t);
$X1 += 0.00000349467*cos(3.10812701391 + 426.3543733925*$t);
$X1 += 0.00000316847*cos(2.11759539145 + 839.2131052339*$t);
$X1 += 0.00000324562*cos(5.71130479446 + 206.42936592071*$t);
$X1 += 0.00000246849*cos(4.10602399001 + 838.72547026689*$t);
$X1 += 0.00000255191*cos(3.62607142490 + 412.12727939089*$t);
$X1 += 0.00000230121*cos(2.72254614569 + 508.5941415757*$t);
$X1 += 0.00000246851*cos(1.75011280000 + 1272.9248431107*$t);
$X1 += 0.00000222270*cos(2.70702942772 + 412.6149143579*$t);
$X1 += 0.00000213383*cos(2.90120840681 + 1376.0176173293*$t);
$X1 += 0.00000225567*cos(5.42992965137 + 625.42637482889*$t);
$X1 += 0.00000212049*cos(3.04058050625 + 3.42521122121*$t);
$X1 += 0.00000181234*cos(3.64994746675 + 1368.9040703285*$t);
$X1 += 0.00000174181*cos(1.85281706799 + 1062.80714141041*$t);
$X1 += 0.00000189391*cos(1.15749117460 + 2648.6986429565*$t);
$X1 += 0.00000161119*cos(3.02399692553 + 519.63984183961*$t);
$X1 += 0.00000157874*cos(1.64594194339 + 536.5606946119*$t);
$X1 += 0.00000145420*cos(2.71846376946 + 1258.6977491091*$t);
$X1 += 0.00000144205*cos(2.08426886196 + 1055.6935944096*$t);
$X1 += 0.00000143507*cos(3.70576716798 + 309.5221401393*$t);
$X1 += 0.00000126188*cos(3.31694506826 + 1063.55790093581*$t);
$X1 += 0.00000124788*cos(1.62052640087 + 551.27542358051*$t);
$X1 += 0.00000125329*cos(1.31439998076 + 540.2297233166*$t);
$X1 += 0.00000146669*cos(2.72335559452 + 1056.444353935*$t);
$X1 += 0.00000115893*cos(3.18162677570 + 2126.1212248627*$t);
$X1 += 0.00000124485*cos(0.17472854156 + 3.6883357796*$t);
$X1 += 0.00000118218*cos(4.80555513709 + 515.2200536095*$t);
$X1 += 0.00000114208*cos(2.05820677440 + 227.77000692311*$t);
$X1 += 0.00000113852*cos(2.70245764618 + 742.74624304909*$t);
$X1 += 0.00000144447*cos(6.08317056171 + 1486.2239385487*$t);
$X1 += 0.00000124849*cos(1.63225929060 + 1575.08961876571*$t);
$X1 += 0.00000093951*cos(3.84985265371 + 1155.1173399235*$t);
$X1 += 0.00000100599*cos(2.02088520418 + 2111.8941308611*$t);
$X1 += 0.00000103583*cos(5.06428969516 + 419.2408263917*$t);
$X1 += 0.00000092556*cos(1.85907721166 + 1699.5230339867*$t);
$X1 += 0.00000099479*cos(5.78783063560 + 301.9209581715*$t);
$X1 += 0.00000082832*cos(1.28886276595 + 441.06910236111*$t);
$X1 += 0.00000086688*cos(5.09274860535 + 941.8182444855*$t);
$X1 += 0.00000095969*cos(2.12504520091 + 102.84895673509*$t);
$X1 += 0.00000080324*cos(0.88712083078 + 1471.9968445471*$t);
$X1 += 0.00000102333*cos(3.18857661435 + 21.5844584859*$t);
$X1 += 0.00000078195*cos(5.09322017801 + 525.26891613211*$t);
$X1 += 0.00000074123*cos(1.57689883069 + 647.25465079831*$t);
$X1 += 0.00000079270*cos(3.27341766644 + 728.5191490475*$t);
$X1 += 0.00000074807*cos(5.52867705621 + 534.6006490241*$t);
$X1 += 0.00000087759*cos(4.16413990980 + 632.5399218297*$t);
$X1 += 0.00000069800*cos(2.80403510206 + 618.8004627951*$t);
$X1 += 0.00000060886*cos(4.07058850374 + 846.3266522347*$t);
$X1 += 0.00000058777*cos(2.25774461225 + 832.0995582331*$t);
$X1 += 0.00000061003*cos(6.24178613664 + 2222.1004520805*$t);
$X1 += 0.00000066693*cos(2.28288216120 + 1685.2959399851*$t);
$X1 += 0.00000050999*cos(5.78085041063 + 2008.8013566425*$t);
$X1 += 0.00000050585*cos(4.75410728625 + 213.5429129215*$t);
$X1 += 0.00000045850*cos(4.24082041831 + 831.6119232661*$t);
$X1 += 0.00000052339*cos(1.38343334733 + 1038.2851066703*$t);
$X1 += 0.00000046409*cos(2.49832780835 + 524.5181566067*$t);
$X1 += 0.00000049446*cos(2.75500829134 + 963.6465204549*$t);
$X1 += 0.00000045782*cos(1.84235784093 + 535.35140854951*$t);
$X1 += 0.00000061385*cos(2.63233647245 + 1795.5022612045*$t);
$X1 += 0.00000058958*cos(2.91371154675 + 316.14805217309*$t);
$X1 += 0.00000059833*cos(4.54238626333 + 4.1759707466*$t);
$X1 += 0.00000043525*cos(0.40754709239 + 149.8070146181*$t);
$X1 += 0.00000039973*cos(4.82513939066 + 1383.13116433011*$t);
$X1 += 0.00000053170*cos(1.55759345804 + 750.3474250169*$t);
$X1 += 0.00000039316*cos(3.58850609580 + 1471.50920958009*$t);
$X1 += 0.00000040288*cos(1.77691319997 + 948.9317914863*$t);
$X1 += 0.00000038303*cos(1.25612538854 + 511.7755353134*$t);
$X1 += 0.00000036523*cos(3.08500012455 + 548.0940298428*$t);
$X1 += 0.00000038571*cos(4.79060991224 + 1258.21011414209*$t);
$X1 += 0.00000035601*cos(2.81741907830 + 10.538758222*$t);
$X1 += 0.00000036868*cos(1.53995872607 + 527.01402127131*$t);
$X1 += 0.00000036603*cos(2.80095469601 + 532.8555438849*$t);
$X1 += 0.00000041197*cos(3.47741533158 + 845.8390172677*$t);
$X1 += 0.00000030575*cos(4.13554799825 + 124.6772327045*$t);
$X1 += 0.00000027619*cos(1.69648523137 + 1802.6158082053*$t);
$X1 += 0.00000032289*cos(5.50255743191 + 618.3128278281*$t);
$X1 += 0.00000028470*cos(3.04847955006 + 1044.9110187041*$t);
$X1 += 0.00000025452*cos(1.34642958378 + 1265.32366114289*$t);
$X1 += 0.00000027183*cos(2.69831398387 + 1898.5950354231*$t);
$X1 += 0.00000022512*cos(0.44856506675 + 639.6534688305*$t);
$X1 += 0.00000022622*cos(0.18357944836 + 935.19233245171*$t);
$X1 += 0.00000024508*cos(3.71033407609 + 1361.79052332771*$t);
$X1 += 0.00000025260*cos(1.81233714136 + 540.98048284201*$t);
$X1 += 0.00000020677*cos(3.98002843517 + 1148.00379292269*$t);
$X1 += 0.00000028190*cos(3.07761522702 + 1905.70858242391*$t);
$X1 += 0.00000020297*cos(3.81657536112 + 1162.23088692429*$t);
$X1 += 0.00000025685*cos(1.55199744523 + 735.6326960483*$t);
$X1 += 0.00000019769*cos(5.53593575435 + 11.2895177474*$t);
$X1 += 0.00000017928*cos(3.04845555075 + 98.91680347199*$t);
$X1 += 0.00000017469*cos(3.32708371179 + 1787.9010792367*$t);
$X1 += 0.00000018703*cos(4.50425954841 + 1574.6019837987*$t);
$X1 += 0.00000018135*cos(3.93430947434 + 910.0625505381*$t);
$X1 += 0.00000017089*cos(2.56125921461 + 1603.5438067689*$t);
$X1 += 0.00000017538*cos(6.04152227093 + 525.7419968841*$t);
$X1 += 0.00000017368*cos(4.58219600456 + 534.1275682721*$t);
$X1 += 0.00000019204*cos(2.23161769695 + 1375.52998236229*$t);
$X1 += 0.00000017455*cos(0.10703246236 + 76.50988875911*$t);
$X1 += 0.00000016153*cos(4.30082408762 + 99.6675629974*$t);
$X1 += 0.00000016460*cos(2.09636027394 + 1788.38871420371*$t);
$X1 += 0.00000015683*cos(3.99052583747 + 2.9375762542*$t);
$X1 += 0.00000016034*cos(4.98317709627 + 191.7146369521*$t);
$X1 += 0.00000015051*cos(2.78980787117 + 106.0303504728*$t);
$X1 += 0.00000014892*cos(1.77707927575 + 518.8890823142*$t);
$X1 += 0.00000015187*cos(6.07616641818 + 1588.82907780029*$t);
$X1 += 0.00000017388*cos(4.43775098797 + 18.40306474821*$t);
$X1 += 0.00000014796*cos(2.06469993479 + 1049.3308069342*$t);
$X1 += 0.00000015408*cos(4.06617777635 + 106.5179854398*$t);
$X1 += 0.00000017378*cos(0.47153358689 + 88.6218627335*$t);
$X1 += 0.00000013474*cos(1.04099539964 + 1581.7155307995*$t);
$X1 += 0.00000013574*cos(4.03698274106 + 106.7811099982*$t);
$X1 += 0.00000017733*cos(3.53345150510 + 860.55374623631*$t);
$X1 += 0.00000014099*cos(5.20790939624 + 934.70469748469*$t);
$X1 += 0.00000014690*cos(2.86077681205 + 337.9763281425*$t);
$X1 += 0.00000011717*cos(1.50309851310 + 3178.38960805111*$t);
$X1 += 0.00000010988*cos(2.13993350041 + 2214.98690507971*$t);
$X1 += 0.00000010909*cos(0.16362139771 + 1052.02456570489*$t);
$X1 += 0.00000011465*cos(2.83736836823 + 1361.3028883607*$t);
$X1 += 0.00000010506*cos(1.65935656006 + 2104.7805838603*$t);
$X1 += 0.00000012808*cos(5.23966663914 + 96.2230447013*$t);
$X1 += 0.00000013402*cos(1.46045916222 + 721.8932370137*$t);
$X1 += 0.00000010003*cos(3.71949533579 + 1464.3956625793*$t);
$X1 += 0.00000011029*cos(4.75763401948 + 604.7163811454*$t);
$X1 += 0.00000009807*cos(5.38496623744 + 107.2687449652*$t);
$X1 += 0.00000011312*cos(1.04980298350 + 220.16882495529*$t);
$X1 += 0.00000010028*cos(5.51845919925 + 497.69145366371*$t);
$X1 += 0.00000009515*cos(4.20231641978 + 1890.9938534553*$t);
$X1 += 0.00000010988*cos(0.55033431492 + 2015.9149036433*$t);
$X1 += 0.00000010134*cos(2.26013428987 + 1592.498106505*$t);
$X1 += 0.00000008954*cos(5.58285753900 + 10.8018827804*$t);
$X1 += 0.00000008739*cos(3.10143619037 + 91.8032564712*$t);
$X1 += 0.00000008399*cos(2.39323702495 + 1148.49142788971*$t);
$X1 += 0.00000008408*cos(2.53671229460 + 1585.38455950421*$t);
$X1 += 0.00000009230*cos(5.10523054826 + 562.1781114925*$t);
$X1 += 0.00000008186*cos(3.07470498245 + 2104.2929488933*$t);
$X1 += 0.00000008259*cos(3.79122069331 + 302.40859313851*$t);
$X1 += 0.00000009900*cos(3.08797905190 + 1478.62275658089*$t);
$X1 += 0.00000010878*cos(3.84174776466 + 113.6315324406*$t);
$X1 += 0.00000009582*cos(5.95011959797 + 455.1531840108*$t);
$X1 += 0.00000007712*cos(2.87491912382 + 422.9098550964*$t);
$X1 += 0.00000007595*cos(1.59710858352 + 629.846163059*$t);
$X1 += 0.00000008496*cos(2.61146913566 + 224.5886131854*$t);
$X1 += 0.00000007414*cos(2.03258534769 + 39.1130584317*$t);
$X1 += 0.00000007292*cos(2.69782256595 + 430.02340209721*$t);
$X1 += 0.00000007357*cos(3.64822171992 + 2655.8121899573*$t);
$X1 += 0.00000007633*cos(1.32269581525 + 636.95971005981*$t);
$X1 += 0.00000007369*cos(2.28675718790 + 2229.2139990813*$t);
$X1 += 0.00000007258*cos(4.08894525395 + 423.66061462181*$t);
$X1 += 0.00000007648*cos(2.32798852949 + 2001.68780964171*$t);
$X1 += 0.00000008081*cos(2.88299363492 + 1586.13531902961*$t);
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$X1 += 0.00000001292*cos(3.22691222108 + 1994.5742626409*$t);
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$X1 += 0.00000001242*cos(2.96234986087 + 520.37355502251*$t);
$X1 += 0.00000001169*cos(0.37626190654 + 386.9974974773*$t);
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$X1 += 0.00000001030*cos(5.35594718648 + 850.25880549781*$t);
$X1 += 0.00000001165*cos(3.23424220409 + 2758.9049641759*$t);
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$X1 += 0.00000000984*cos(1.94169871699 + 537.09651368871*$t);
$X1 += 0.00000001015*cos(0.51819766710 + 451.2210307477*$t);
$X1 += 0.00000001310*cos(4.02666314741 + 1354.6769763269*$t);
$X1 += 0.00000001121*cos(0.67317844435 + 4164.0681721295*$t);
$X1 += 0.00000000956*cos(2.02124975965 + 2950.8634186115*$t);
$X1 += 0.00000000940*cos(0.33627498720 + 39.6006933987*$t);
$X1 += 0.00000000949*cos(2.09328292248 + 1475.9289978102*$t);
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$X1 += 0.00000000935*cos(2.32097978196 + 3053.46855786309*$t);
$X1 += 0.00000001085*cos(3.28059335022 + 586.5571338807*$t);
$X1 += 0.00000000901*cos(2.95406440747 + 248.9676355736*$t);
$X1 += 0.00000000894*cos(6.19201666773 + 2847.28300942589*$t);
$X1 += 0.00000000948*cos(3.23576370557 + 2221.6128171135*$t);
$X1 += 0.00000000923*cos(1.57948501053 + 2421.1724535169*$t);
$X1 += 0.00000001070*cos(4.12769395162 + 2200.2721761111*$t);
$X1 += 0.00000001169*cos(0.96073817242 + 100.4012761803*$t);
$X1 += 0.00000001005*cos(5.20924948749 + 1432.6399686319*$t);
$X1 += 0.00000001017*cos(2.10326291360 + 8094.2778683491*$t);
$X1 += 0.00000000984*cos(5.02707289654 + 537.0001454691*$t);
$X1 += 0.00000000984*cos(2.45520540542 + 522.8694196871*$t);
$X1 += 0.00000001118*cos(2.99407073283 + 416.547067621*$t);
$X1 += 0.00000000914*cos(4.24495681812 + 1140.8902459219*$t);
$X1 += 0.00000000977*cos(6.06165201031 + 312.9666584354*$t);
$X1 += 0.00000000840*cos(2.42530575361 + 1579.0217720288*$t);
$X1 += 0.00000000891*cos(1.62042692734 + 486.64575339981*$t);
$X1 += 0.00000000849*cos(5.66050445306 + 834.7933170038*$t);
$X1 += 0.00000000926*cos(1.06469662901 + 532.6285413488*$t);
$X1 += 0.00000000832*cos(3.82248800441 + 608.64853440851*$t);
$X1 += 0.00000000975*cos(1.83569716432 + 21.0968235189*$t);
$X1 += 0.00000000794*cos(0.55277759585 + 1791.5701079414*$t);
$X1 += 0.00000001006*cos(3.29673383179 + 2310.9661322975*$t);
$X1 += 0.00000000825*cos(0.24960267153 + 8616.85528644289*$t);
$X1 += 0.00000000827*cos(2.11307142672 + 2545.6058687379*$t);
$X1 += 0.00000000955*cos(5.80717048495 + 760.01171843649*$t);
$X1 += 0.00000000955*cos(5.80717048495 + 760.4993534035*$t);
$X1 += 0.00000000936*cos(5.99339737103 + 155.53915477459*$t);
$X1 += 0.00000000779*cos(1.83263011252 + 1792.3208674668*$t);
$X1 += 0.00000000766*cos(2.28443434916 + 3811.1733473643*$t);
$X1 += 0.00000000773*cos(2.27805515523 + 738.814089786*$t);
$X1 += 0.00000000788*cos(3.85951320467 + 732.45130231059*$t);
$X1 += 0.00000000801*cos(1.48502354739 + 77204.08367704989*$t);
$X1 += 0.00000000937*cos(4.69566509817 + 297.9888049084*$t);
$X1 += 0.00000000779*cos(5.36095004640 + 538.0115374254*$t);
$X1 += 0.00000000779*cos(2.12132825556 + 521.8580277308*$t);
$X1 += 0.00000000755*cos(0.53346289480 + 8631.0823804445*$t);
$X1 += 0.00000000743*cos(5.06914451090 + 1060.1470125345*$t);
$X1 += 0.00000000790*cos(4.76601235989 + 902.94900353731*$t);
$X1 += 0.00000000897*cos(5.90672024499 + 1485.7363035817*$t);
$X1 += 0.00000000991*cos(1.76419853445 + 2744.1902352073*$t);
$X1 += 0.00000000740*cos(0.93130456921 + 277.2788112249*$t);
$X1 += 0.00000000780*cos(0.67747505651 + 606.2008538537*$t);
$X1 += 0.00000000738*cos(3.53234955097 + 4856.32818355191*$t);
$X1 += 0.00000000799*cos(2.72025873636 + 573.2238117564*$t);
$X1 += 0.00000000802*cos(3.92777211068 + 984.8441491054*$t);
$X1 += 0.00000000761*cos(2.31403909443 + 2744.6778701743*$t);
$X1 += 0.00000000735*cos(5.48605031473 + 4650.1426351147*$t);
$X1 += 0.00000000721*cos(2.25748057238 + 731.70054278519*$t);
$X1 += 0.00000000850*cos(3.90105539794 + 775.4772069305*$t);
$X1 += 0.00000000717*cos(3.64971882351 + 5746.0275204125*$t);
$X1 += 0.00000000754*cos(4.58241793030 + 202.4972126576*$t);
$X1 += 0.00000000787*cos(6.16479913324 + 320.0802054362*$t);
$X1 += 0.00000000739*cos(5.82129294779 + 967.57867371801*$t);
$X1 += 0.00000000744*cos(1.81557790720 + 2847.77064439291*$t);
$X1 += 0.00000000684*cos(0.30776904368 + 1798.68365494221*$t);
$X1 += 0.00000000700*cos(6.09650846364 + 572.473052231*$t);
$X1 += 0.00000000700*cos(4.52736249190 + 487.3965129252*$t);
$X1 += 0.00000000690*cos(6.09169936894 + 2118.5200428949*$t);
$X1 += 0.00000000670*cos(1.19443093892 + 245.2986068689*$t);
$X1 += 0.00000000668*cos(3.63109061354 + 739.5648493114*$t);
$X1 += 0.00000000667*cos(0.87583989763 + 1013.1553247567*$t);
$X1 += 0.00000000762*cos(4.85397542040 + 9153.6597985383*$t);
$X1 += 0.00000000711*cos(3.11169852570 + 3156.5613320817*$t);
$X1 += 0.00000000679*cos(3.67936511602 + 24498.58642880689*$t);
$X1 += 0.00000000729*cos(0.09495555814 + 4547.04986089611*$t);
$X1 += 0.00000000692*cos(6.19117624873 + 5062.5137319891*$t);
$X1 += 0.00000000649*cos(1.56313876075 + 1799.4344144676*$t);
$X1 += 0.00000000677*cos(0.68187945383 + 10.051123255*$t);
$X1 += 0.00000000784*cos(0.71180416773 + 3281.4823822697*$t);
$X1 += 0.00000000733*cos(3.85073191118 + 453.66871130251*$t);
$X1 += 0.00000000643*cos(2.57202346935 + 2310.4784973305*$t);
$X1 += 0.00000000658*cos(0.00955649379 + 305.85311143459*$t);
$X1 += 0.00000000784*cos(0.92101367041 + 74.53778108379*$t);
$X1 += 0.00000000704*cos(0.42049120814 + 5165.60650620771*$t);
$X1 += 0.00000000648*cos(5.17262659684 + 1382.64352936309*$t);
$X1 += 0.00000000786*cos(0.17119550214 + 1290.19031849811*$t);
$X1 += 0.00000000844*cos(4.57333845552 + 312.21589891*$t);
$X1 += 0.00000000703*cos(3.18188887722 + 2288.1002260279*$t);
$X1 += 0.00000000703*cos(3.68329176097 + 2273.8731320263*$t);
$X1 += 0.00000000797*cos(1.30518182972 + 2641.0974609887*$t);
$X1 += 0.00000000635*cos(0.57438614150 + 397.9001853893*$t);
$X1 += 0.00000000607*cos(2.87691632991 + 1689.2280932482*$t);
$X1 += 0.00000000626*cos(1.96304211270 + 2524.2652277355*$t);
$X1 += 0.00000000636*cos(3.42015645415 + 511.2879003464*$t);
$X1 += 0.00000000613*cos(5.27453086724 + 1037.7974717033*$t);
$X1 += 0.00000000614*cos(4.75169588095 + 2957.9769656123*$t);
$X1 += 0.00000000747*cos(3.57894990009 + 5223.4501023187*$t);
$X1 += 0.00000000606*cos(5.48577834442 + 1751.2957139325*$t);
$X1 += 0.00000000779*cos(5.87445673484 + 523.7844434238*$t);
$X1 += 0.00000000779*cos(1.60782156712 + 536.08512173241*$t);
$X1 += 0.00000000607*cos(2.92319803825 + 2133.2347718635*$t);
$X1 += 0.00000000744*cos(1.33557042847 + 643.32249753521*$t);
$X1 += 0.00000000697*cos(5.37775664790 + 1354.18934135989*$t);
$X1 += 0.00000000669*cos(4.82929349311 + 5069.6272789899*$t);
$X1 += 0.00000000762*cos(3.36471924953 + 1262.6299023722*$t);
$X1 += 0.00000000765*cos(5.32617475783 + 927.5911504839*$t);
$X1 += 0.00000000720*cos(3.06031913027 + 3075.2968338325*$t);
$X1 += 0.00000000573*cos(1.26296826321 + 394.5986794451*$t);
$X1 += 0.00000000634*cos(1.38494179693 + 470.1310375378*$t);
$X1 += 0.00000000559*cos(2.49825062445 + 445.00125562421*$t);
$X1 += 0.00000000671*cos(3.15851735580 + 454.6655490438*$t);
$X1 += 0.00000000755*cos(6.14426019579 + 105.2966372899*$t);
$X1 += 0.00000000567*cos(0.62012587567 + 1887.5493351592*$t);
$X1 += 0.00000000593*cos(4.42709128942 + 842.65762352999*$t);
$X1 += 0.00000000564*cos(4.09053029799 + 1127.2937992392*$t);
$X1 += 0.00000000547*cos(2.00134392136 + 4127.5652170209*$t);
$X1 += 0.00000000624*cos(1.38182148571 + 25035.39094090229*$t);
$X1 += 0.00000000545*cos(1.38452164358 + 810.90192958261*$t);
$X1 += 0.00000000641*cos(2.77533084404 + 305.5899868762*$t);
$X1 += 0.00000000593*cos(6.12084605791 + 1063.0702659688*$t);
$X1 += 0.00000000574*cos(4.93770315169 + 1699.0353990197*$t);
$X1 += 0.00000000616*cos(1.88320700397 + 25021.16384690069*$t);
$X1 += 0.00000000721*cos(3.98272042008 + 1819.8812835927*$t);
$X1 += 0.00000000537*cos(3.42267089674 + 782.59075393131*$t);
$X1 += 0.00000000597*cos(2.50100642147 + 379.8839504765*$t);
$X1 += 0.00000000543*cos(4.69778069172 + 216.72430665921*$t);
$X1 += 0.00000000552*cos(1.82100424033 + 1268.9926898476*$t);
$X1 += 0.00000000534*cos(1.45757104363 + 437.136949098*$t);
$X1 += 0.00000000588*cos(3.86118609001 + 460.2946233363*$t);
$X1 += 0.00000000524*cos(2.90061539997 + 518.40144734719*$t);
$X1 += 0.00000000701*cos(5.29663931018 + 1670.5812110165*$t);
$X1 += 0.00000000632*cos(1.12269993255 + 4525.7092198937*$t);
$X1 += 0.00000000546*cos(4.73323913866 + 89.10949770051*$t);
$X1 += 0.00000000496*cos(6.08219208052 + 3171.2760610503*$t);
$X1 += 0.00000000501*cos(0.04295581721 + 32.48714639791*$t);
$X1 += 0.00000000508*cos(3.08019966842 + 827.67977000299*$t);
$X1 += 0.00000000493*cos(5.43229903686 + 10022.0810975829*$t);
$X1 += 0.00000000550*cos(3.74627720943 + 2516.66404576769*$t);
$X1 += 0.00000000546*cos(2.95574391589 + 589.7385276184*$t);
$X1 += 0.00000000509*cos(5.07088390420 + 4686.6455902233*$t);
$X1 += 0.00000000505*cos(1.78087149512 + 754.27957828001*$t);
$X1 += 0.00000000479*cos(4.72565705175 + 5223.93773728571*$t);
$X1 += 0.00000000461*cos(0.99543408630 + 1595.9426248011*$t);
$X1 += 0.00000000472*cos(5.67013290312 + 3163.6748790825*$t);
$X1 += 0.00000000472*cos(2.52854024953 + 3164.1625140495*$t);
$X1 += 0.00000000509*cos(0.84552728990 + 69.3963417583*$t);
$X1 += 0.00000000546*cos(2.01514901803 + 2840.6570973921*$t);
$X1 += 0.00000000615*cos(5.03969710796 + 519.15220687259*$t);
$X1 += 0.00000000579*cos(2.45280217192 + 525.514994348*$t);
$X1 += 0.00000000455*cos(0.84441579380 + 1468.06469128401*$t);
$X1 += 0.00000000451*cos(1.84241635349 + 614.868309532*$t);
$X1 += 0.00000000451*cos(0.27109462263 + 2107.96197759801*$t);
$X1 += 0.00000000450*cos(5.54300486570 + 3480.06674873909*$t);
$X1 += 0.00000000450*cos(2.40141221211 + 3480.5543837061*$t);
$X1 += 0.00000000447*cos(1.49071427438 + 3267.2552882681*$t);
$X1 += 0.00000000467*cos(1.66996550533 + 1490.15609181181*$t);
$X1 += 0.00000000472*cos(3.97777002593 + 1457.2821155785*$t);
$X1 += 0.00000000462*cos(0.76906085237 + 26617.8379241523*$t);
$X1 += 0.00000000440*cos(3.74033577848 + 3384.08752152129*$t);
$X1 += 0.00000000440*cos(0.59874312489 + 3384.5751564883*$t);
$X1 += 0.00000000453*cos(6.16538796545 + 9154.1474335053*$t);
$X1 += 0.00000000440*cos(3.20211909619 + 2538.00468677009*$t);
$X1 += 0.00000000616*cos(4.82336088817 + 1560.3748897971*$t);
$X1 += 0.00000000437*cos(5.35668949324 + 4966.5345047713*$t);
$X1 += 0.00000000433*cos(5.44090883319 + 4700.87268422489*$t);
$X1 += 0.00000000439*cos(1.57953949229 + 2108.7127371234*$t);
$X1 += 0.00000000452*cos(4.81735477031 + 1551.1836771295*$t);
$X1 += 0.00000000483*cos(5.25822765428 + 629.35852809199*$t);
$X1 += 0.00000000455*cos(0.52481636476 + 1368.4164353615*$t);
$X1 += 0.00000000454*cos(2.63963867488 + 1884.36794142151*$t);
$X1 += 0.00000000476*cos(1.27217476850 + 3060.5821048639*$t);
$X1 += 0.00000000414*cos(4.36171182245 + 533.37930087419*$t);
$X1 += 0.00000000434*cos(2.83878055329 + 622.2449810912*$t);
$X1 += 0.00000000434*cos(2.83878055329 + 622.7326160582*$t);
$X1 += 0.00000000423*cos(4.52676867100 + 415.04804069769*$t);
$X1 += 0.00000000411*cos(0.64284710617 + 4539.44867892829*$t);
$X1 += 0.00000000411*cos(3.78443975976 + 4539.9363138953*$t);
$X1 += 0.00000000507*cos(0.89077366361 + 3252.5405592995*$t);
$X1 += 0.00000000401*cos(5.31716419569 + 1040.97886544099*$t);
$X1 += 0.00000000424*cos(1.74548317826 + 1254.765595846*$t);
$X1 += 0.00000000407*cos(3.07774750544 + 665.27088571111*$t);
$X1 += 0.00000000428*cos(2.52282816585 + 12036.21691740469*$t);
$X1 += 0.00000000487*cos(0.27735959651 + 1901.7764291608*$t);
$X1 += 0.00000000484*cos(2.76465853394 + 1357.8583700646*$t);
$X1 += 0.00000000435*cos(2.99417344584 + 2729.96314120569*$t);
$X1 += 0.00000000435*cos(2.99417344584 + 2730.45077617271*$t);
$X1 += 0.00000000393*cos(2.13115023199 + 3803.5721653965*$t);
$X1 += 0.00000000393*cos(5.27274288558 + 3804.0598003635*$t);
$X1 += 0.00000000396*cos(3.86752181242 + 1020.2688717575*$t);
$X1 += 0.00000000413*cos(2.47801246921 + 1902.5271886862*$t);
$X1 += 0.00000000438*cos(1.11008336467 + 611.8299281462*$t);
$X1 += 0.00000000404*cos(3.24724828605 + 2042.7416065863*$t);
$X1 += 0.00000000412*cos(6.18108169678 + 4863.4417305527*$t);
$X1 += 0.00000000379*cos(1.72808594571 + 4443.9570866775*$t);
$X1 += 0.00000000528*cos(4.53641477848 + 721.40560204669*$t);
$X1 += 0.00000000392*cos(3.97639191399 + 2001.2001746747*$t);
$X1 += 0.00000000379*cos(5.06316213675 + 9676.23721663209*$t);
$X1 += 0.00000000379*cos(5.06316213675 + 9676.7248515991*$t);
$X1 += 0.00000000372*cos(1.50891676381 + 3273.8812003019*$t);
$X1 += 0.00000000372*cos(4.65050941740 + 3274.36883526891*$t);
return $X1*$t;
}
function Jupiter_X2($t) // 358 terms of order 2
{
$X2 = 0.00202462055*cos(2.16872090770 + 529.9347825781*$t);
$X2 += 0.00132313738*cos(5.46375601476 + 0.2438174835*$t);
$X2 += 0.00123752958*cos(4.12933545743 + 522.8212355773*$t);
$X2 += 0.00121682952*cos(0.20529040863 + 537.0483295789*$t);
$X2 += 0.00035719700*cos(5.02591678600 + 1059.6257476727*$t);
$X2 += 0.00011394908*cos(1.72910824402 + 7.3573644843*$t);
$X2 += 0.00007053660*cos(0.73618974864 + 1066.7392946735*$t);
$X2 += 0.00005684733*cos(3.62301903765 + 1052.51220067191*$t);
$X2 += 0.00005262466*cos(4.26860629303 + 515.70768857651*$t);
$X2 += 0.00003815469*cos(5.55769158033 + 1589.3167127673*$t);
$X2 += 0.00003706857*cos(0.07620773039 + 544.1618765797*$t);
$X2 += 0.00001449544*cos(2.64864661582 + 110.45013870291*$t);
$X2 += 0.00001046768*cos(2.32475473247 + 426.8420083595*$t);
$X2 += 0.00001322480*cos(1.62777310244 + 14.47091148511*$t);
$X2 += 0.00000858857*cos(1.87732946593 + 633.0275567967*$t);
$X2 += 0.00000887013*cos(4.66395505443 + 526.7533888404*$t);
$X2 += 0.00000866197*cos(5.95310584104 + 533.1161763158*$t);
$X2 += 0.00000997140*cos(1.45788897945 + 323.74923414091*$t);
$X2 += 0.00000563455*cos(1.62040359556 + 949.4194264533*$t);
$X2 += 0.00000571107*cos(3.15712293933 + 1045.3986536711*$t);
$X2 += 0.00000519207*cos(5.96329235901 + 526.00262931501*$t);
$X2 += 0.00000607942*cos(2.84828776126 + 736.1203310153*$t);
$X2 += 0.00000506922*cos(4.64788690486 + 533.8669358412*$t);
$X2 += 0.00000485331*cos(1.60461640700 + 109.9625037359*$t);
$X2 += 0.00000475072*cos(4.21127530175 + 529.44714761109*$t);
$X2 += 0.00000458270*cos(1.23999732854 + 1596.43025976811*$t);
$X2 += 0.00000418781*cos(2.61159590787 + 117.5636857037*$t);
$X2 += 0.00000525152*cos(0.41184029160 + 102.84895673509*$t);
$X2 += 0.00000374437*cos(5.55383016603 + 95.7354097343*$t);
$X2 += 0.00000412815*cos(0.32973940832 + 103.3365917021*$t);
$X2 += 0.00000320928*cos(4.24368441414 + 419.72846135871*$t);
$X2 += 0.00000322793*cos(5.98934797904 + 2119.00767786191*$t);
$X2 += 0.00000302747*cos(0.27601683091 + 205.9417309537*$t);
$X2 += 0.00000280926*cos(3.69548040149 + 1582.2031657665*$t);
$X2 += 0.00000243003*cos(3.14355186105 + 625.9140097959*$t);
$X2 += 0.00000260213*cos(3.67206938453 + 956.53297345411*$t);
$X2 += 0.00000223206*cos(0.88087474540 + 433.9555553603*$t);
$X2 += 0.00000219874*cos(1.72167133402 + 942.3058794525*$t);
$X2 += 0.00000202904*cos(0.48756623733 + 220.6564599223*$t);
$X2 += 0.00000196744*cos(5.99963553149 + 1169.83206889211*$t);
$X2 += 0.00000171475*cos(0.62368794765 + 6.86972951729*$t);
$X2 += 0.00000195569*cos(5.98737256847 + 640.1411037975*$t);
$X2 += 0.00000165172*cos(5.28462686074 + 316.6356871401*$t);
$X2 += 0.00000163913*cos(0.52317209564 + 1073.85284167431*$t);
$X2 += 0.00000164904*cos(3.55715812496 + 1155.6049748905*$t);
$X2 += 0.00000138497*cos(4.42900020166 + 508.5941415757*$t);
$X2 += 0.00000135640*cos(0.24898267917 + 198.82818395289*$t);
$X2 += 0.00000170382*cos(1.32273885498 + 330.8627811417*$t);
$X2 += 0.00000123801*cos(5.24272600896 + 743.23387801611*$t);
$X2 += 0.00000105922*cos(2.67322273860 + 853.4401992355*$t);
$X2 += 0.00000104749*cos(1.04943852587 + 522.3336006103*$t);
$X2 += 0.00000115508*cos(1.14912313221 + 309.0345051723*$t);
$X2 += 0.00000127421*cos(2.98933095130 + 729.0067840145*$t);
$X2 += 0.00000104374*cos(2.46273763192 + 213.5429129215*$t);
$X2 += 0.00000074731*cos(6.19108417338 + 551.27542358051*$t);
$X2 += 0.00000076056*cos(4.16147111300 + 1265.81129610991*$t);
$X2 += 0.00000084864*cos(4.83454215641 + 519.63984183961*$t);
$X2 += 0.00000085433*cos(2.50456948380 + 213.0552779545*$t);
$X2 += 0.00000070250*cos(1.40859137196 + 426.3543733925*$t);
$X2 += 0.00000070226*cos(1.17306752912 + 206.42936592071*$t);
$X2 += 0.00000065869*cos(3.83439660231 + 839.2131052339*$t);
$X2 += 0.00000062918*cos(4.41103639601 + 412.6149143579*$t);
$X2 += 0.00000067605*cos(5.76604168472 + 540.2297233166*$t);
$X2 += 0.00000071970*cos(0.19069755890 + 419.2408263917*$t);
$X2 += 0.00000053452*cos(1.25726970711 + 3.42521122121*$t);
$X2 += 0.00000052805*cos(5.35851382984 + 412.12727939089*$t);
$X2 += 0.00000055599*cos(1.47903917952 + 21.5844584859*$t);
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$X2 += 0.00000038964*cos(5.39489558888 + 309.5221401393*$t);
$X2 += 0.00000038082*cos(5.82106990307 + 441.06910236111*$t);
$X2 += 0.00000032665*cos(4.64318627449 + 1692.40948698591*$t);
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$X2 += 0.00000036510*cos(4.40226967417 + 1056.444353935*$t);
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$X2 += 0.00000031242*cos(4.56981926575 + 618.8004627951*$t);
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$X2 += 0.00000029430*cos(4.79051983333 + 1486.2239385487*$t);
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$X2 += 0.00000000673*cos(4.65921419822 + 416.547067621*$t);
$X2 += 0.00000000541*cos(5.68847817907 + 2214.4992701127*$t);
$X2 += 0.00000000463*cos(5.28637314313 + 529.88659846831*$t);
$X2 += 0.00000000463*cos(2.20099897893 + 529.9829666879*$t);
$X2 += 0.00000000453*cos(0.47524333960 + 5753.6287023803*$t);
$X2 += 0.00000000499*cos(3.31827894302 + 2421.1724535169*$t);
$X2 += 0.00000000456*cos(4.85909697014 + 76.50988875911*$t);
$X2 += 0.00000000587*cos(2.70740471670 + 527.4871020233*$t);
$X2 += 0.00000000505*cos(5.77419802762 + 532.6285413488*$t);
$X2 += 0.00000000582*cos(4.77848510541 + 532.3824631329*$t);
$X2 += 0.00000000517*cos(5.40871139161 + 2523.7775927685*$t);
$X2 += 0.00000000475*cos(4.45896757052 + 2531.3787747363*$t);
$X2 += 0.00000000433*cos(1.89229373784 + 621.98185653281*$t);
$X2 += 0.00000000530*cos(4.89239591125 + 512.5262948388*$t);
$X2 += 0.00000000530*cos(2.58988239071 + 547.34327031741*$t);
$X2 += 0.00000000478*cos(5.07132599131 + 1593.2488660304*$t);
$X2 += 0.00000000423*cos(1.89822370785 + 9683.8383985999*$t);
$X2 += 0.00000000592*cos(0.09761552238 + 2324.70559133209*$t);
$X2 += 0.00000000410*cos(2.56036863491 + 2751.30378220809*$t);
$X2 += 0.00000000507*cos(0.52941934961 + 1243.98302014049*$t);
$X2 += 0.00000000521*cos(3.03081020519 + 4216.4308972379*$t);
$X2 += 0.00000000458*cos(5.60102642086 + 629.0954035336*$t);
$X2 += 0.00000000508*cos(4.89635261381 + 1994.5742626409*$t);
$X2 += 0.00000000508*cos(4.89635261381 + 1994.08662767389*$t);
$X2 += 0.00000000452*cos(2.67905981945 + 3.6883357796*$t);
$X2 += 0.00000000527*cos(4.41239342340 + 597.60283414461*$t);
$X2 += 0.00000000527*cos(6.21147753215 + 462.2667310116*$t);
$X2 += 0.00000000555*cos(3.37057288042 + 3892.92548058051*$t);
$X2 += 0.00000000464*cos(1.74325066579 + 1905.2209474569*$t);
$X2 += 0.00000000535*cos(4.17138356606 + 2943.74987161071*$t);
$X2 += 0.00000000535*cos(4.17138356606 + 2943.26223664369*$t);
$X2 += 0.00000000450*cos(5.30706754834 + 3914.26612158291*$t);
$X2 += 0.00000000390*cos(5.69507695721 + 2751.79141717511*$t);
$X2 += 0.00000000511*cos(6.03743992199 + 643.32249753521*$t);
$X2 += 0.00000000431*cos(2.42207911772 + 849.5080459724*$t);
$X2 += 0.00000000464*cos(4.69682366854 + 2633.98391398789*$t);
$X2 += 0.00000000486*cos(4.84373317918 + 2303.8525852967*$t);
$X2 += 0.00000000412*cos(1.48548182287 + 2758.9049641759*$t);
$X2 += 0.00000000423*cos(5.88986413302 + 1898.10740045609*$t);
$X2 += 0.00000000457*cos(3.69523724581 + 519.15220687259*$t);
$X2 += 0.00000000530*cos(1.25410178254 + 2221.6128171135*$t);
$X2 += 0.00000000443*cos(0.57624758775 + 89.10949770051*$t);
$X2 += 0.00000000478*cos(5.10332943513 + 2420.68481854989*$t);
return $X2*$t*$t;
}
function Jupiter_X3($t) // 190 terms of order 3
{
$X3 = 0.00016990902*cos(5.84326964724 + 522.8212355773*$t);
$X3 += 0.00016795793*cos(4.75643108252 + 537.0483295789*$t);
$X3 += 0.00005535565*cos(0.69030286987 + 0.2438174835*$t);
$X3 += 0.00001711756*cos(3.37150503700 + 1059.6257476727*$t);
$X3 += 0.00001437893*cos(5.97752044582 + 515.70768857651*$t);
$X3 += 0.00001080832*cos(5.40982686420 + 1066.7392946735*$t);
$X3 += 0.00001014927*cos(4.64326947068 + 544.1618765797*$t);
$X3 += 0.00001080320*cos(6.20988832893 + 7.3573644843*$t);
$X3 += 0.00000700816*cos(5.48708920252 + 1052.51220067191*$t);
$X3 += 0.00000245290*cos(4.20564828134 + 1589.3167127673*$t);
$X3 += 0.00000301422*cos(6.18874877941 + 14.47091148511*$t);
$X3 += 0.00000233420*cos(1.79483227465 + 529.9347825781*$t);
$X3 += 0.00000141715*cos(3.21962130849 + 529.44714761109*$t);
$X3 += 0.00000134439*cos(4.93447341944 + 1045.3986536711*$t);
$X3 += 0.00000078118*cos(6.00083895472 + 1596.43025976811*$t);
$X3 += 0.00000076833*cos(0.88537843817 + 117.5636857037*$t);
$X3 += 0.00000092926*cos(5.97429663193 + 323.74923414091*$t);
$X3 += 0.00000078223*cos(0.68857971258 + 110.45013870291*$t);
$X3 += 0.00000065879*cos(6.20010983926 + 109.9625037359*$t);
$X3 += 0.00000058147*cos(6.14329253529 + 508.5941415757*$t);
$X3 += 0.00000051718*cos(1.01900575462 + 95.7354097343*$t);
$X3 += 0.00000058000*cos(0.45369239592 + 426.8420083595*$t);
$X3 += 0.00000047055*cos(5.14517645295 + 1073.85284167431*$t);
$X3 += 0.00000041297*cos(3.61714630670 + 633.0275567967*$t);
$X3 += 0.00000056002*cos(4.58170066805 + 736.1203310153*$t);
$X3 += 0.00000040590*cos(3.44189359091 + 942.3058794525*$t);
$X3 += 0.00000036838*cos(4.76515425506 + 625.9140097959*$t);
$X3 += 0.00000032307*cos(4.46032442444 + 551.27542358051*$t);
$X3 += 0.00000038649*cos(5.90144372395 + 330.8627811417*$t);
$X3 += 0.00000031637*cos(5.57280111823 + 1582.2031657665*$t);
$X3 += 0.00000032315*cos(5.45702982437 + 433.9555553603*$t);
$X3 += 0.00000037135*cos(2.05207397741 + 103.3365917021*$t);
$X3 += 0.00000027869*cos(5.02736594295 + 220.6564599223*$t);
$X3 += 0.00000027130*cos(4.72533930097 + 2119.00767786191*$t);
$X3 += 0.00000027831*cos(3.47658936637 + 949.4194264533*$t);
$X3 += 0.00000026529*cos(4.28803355000 + 1169.83206889211*$t);
$X3 += 0.00000026303*cos(5.95970150804 + 419.72846135871*$t);
$X3 += 0.00000027724*cos(5.01596447062 + 6.86972951729*$t);
$X3 += 0.00000028942*cos(4.70013339156 + 729.0067840145*$t);
$X3 += 0.00000024801*cos(1.98471609425 + 198.82818395289*$t);
$X3 += 0.00000022666*cos(5.28389674207 + 1155.6049748905*$t);
$X3 += 0.00000022463*cos(2.05657515244 + 956.53297345411*$t);
$X3 += 0.00000024855*cos(0.38561886393 + 519.63984183961*$t);
$X3 += 0.00000017587*cos(6.09056550431 + 21.5844584859*$t);
$X3 += 0.00000020511*cos(3.90902530966 + 540.2297233166*$t);
$X3 += 0.00000017573*cos(2.28775742180 + 205.9417309537*$t);
$X3 += 0.00000019314*cos(4.20495563145 + 640.1411037975*$t);
$X3 += 0.00000013850*cos(1.05364244327 + 853.4401992355*$t);
$X3 += 0.00000013374*cos(4.92762205841 + 227.77000692311*$t);
$X3 += 0.00000012226*cos(3.01621301164 + 522.3336006103*$t);
$X3 += 0.00000011511*cos(4.04684166302 + 441.06910236111*$t);
$X3 += 0.00000011785*cos(6.11408212844 + 412.6149143579*$t);
$X3 += 0.00000009912*cos(2.91727446112 + 206.42936592071*$t);
$X3 += 0.00000009439*cos(0.08289221852 + 618.8004627951*$t);
$X3 += 0.00000009398*cos(4.84246640550 + 1038.2851066703*$t);
$X3 += 0.00000009377*cos(5.60289942767 + 839.2131052339*$t);
$X3 += 0.00000009606*cos(6.01169153580 + 426.3543733925*$t);
$X3 += 0.00000011272*cos(2.94227399823 + 309.0345051723*$t);
$X3 += 0.00000008495*cos(4.87340017026 + 536.5606946119*$t);
$X3 += 0.00000007775*cos(0.77828391265 + 316.6356871401*$t);
$X3 += 0.00000007402*cos(0.87870227189 + 412.12727939089*$t);
$X3 += 0.00000009022*cos(5.05061886203 + 1575.08961876571*$t);
$X3 += 0.00000007220*cos(6.11239376290 + 1258.6977491091*$t);
$X3 += 0.00000006726*cos(5.70739192447 + 832.0995582331*$t);
$X3 += 0.00000006944*cos(0.79854239865 + 309.5221401393*$t);
$X3 += 0.00000007778*cos(2.92871658834 + 301.9209581715*$t);
$X3 += 0.00000007986*cos(0.83091189689 + 213.0552779545*$t);
$X3 += 0.00000005933*cos(0.24709144312 + 2126.1212248627*$t);
$X3 += 0.00000005844*cos(3.31006297989 + 743.23387801611*$t);
$X3 += 0.00000005965*cos(2.10263322732 + 515.2200536095*$t);
$X3 += 0.00000004458*cos(3.94363208534 + 1059.1381127057*$t);
$X3 += 0.00000003905*cos(5.84264336718 + 1265.81129610991*$t);
$X3 += 0.00000004118*cos(0.75516336086 + 124.6772327045*$t);
$X3 += 0.00000003669*cos(3.41470956201 + 1486.2239385487*$t);
$X3 += 0.00000003534*cos(2.81641405410 + 625.42637482889*$t);
$X3 += 0.00000003134*cos(4.93499952524 + 1699.5230339867*$t);
$X3 += 0.00000002973*cos(5.75709909562 + 742.74624304909*$t);
$X3 += 0.00000002686*cos(4.21604360019 + 88.6218627335*$t);
$X3 += 0.00000003079*cos(3.56661827942 + 935.19233245171*$t);
$X3 += 0.00000002579*cos(5.52509554050 + 1062.80714141041*$t);
$X3 += 0.00000002378*cos(5.22398482496 + 2648.6986429565*$t);
$X3 += 0.00000002346*cos(0.57872206639 + 728.5191490475*$t);
$X3 += 0.00000003011*cos(4.13745406105 + 647.25465079831*$t);
$X3 += 0.00000002322*cos(5.62530333683 + 1603.5438067689*$t);
$X3 += 0.00000002809*cos(5.09173475362 + 1272.9248431107*$t);
$X3 += 0.00000002701*cos(4.29236849013 + 1471.9968445471*$t);
$X3 += 0.00000002369*cos(4.87717253226 + 721.8932370137*$t);
$X3 += 0.00000002359*cos(5.74427423810 + 337.9763281425*$t);
$X3 += 0.00000002423*cos(2.71447765750 + 618.3128278281*$t);
$X3 += 0.00000002070*cos(1.48052642228 + 831.6119232661*$t);
$X3 += 0.00000001958*cos(5.45174663546 + 526.7533888404*$t);
$X3 += 0.00000001935*cos(2.01598572418 + 533.1161763158*$t);
$X3 += 0.00000002297*cos(0.82936512542 + 1368.9040703285*$t);
$X3 += 0.00000002015*cos(2.11557967911 + 191.7146369521*$t);
$X3 += 0.00000002184*cos(5.63673637257 + 963.6465204549*$t);
$X3 += 0.00000001685*cos(0.02501611955 + 1685.2959399851*$t);
$X3 += 0.00000001816*cos(3.53877940742 + 1162.7185218913*$t);
$X3 += 0.00000001733*cos(4.27157077977 + 750.3474250169*$t);
$X3 += 0.00000001699*cos(5.67639711035 + 1055.6935944096*$t);
$X3 += 0.00000001717*cos(3.76114243385 + 448.1826493619*$t);
$X3 += 0.00000001811*cos(0.22568163048 + 860.55374623631*$t);
$X3 += 0.00000001432*cos(4.43210549604 + 81.50831573269*$t);
$X3 += 0.00000001779*cos(4.17528036440 + 1056.444353935*$t);
$X3 += 0.00000001397*cos(0.57951822575 + 611.6869157943*$t);
$X3 += 0.00000001563*cos(1.99224070438 + 838.72547026689*$t);
$X3 += 0.00000001726*cos(0.87041746914 + 1361.79052332771*$t);
$X3 += 0.00000001152*cos(1.70030030447 + 1383.13116433011*$t);
$X3 += 0.00000001200*cos(2.12159906502 + 632.5399218297*$t);
$X3 += 0.00000001145*cos(0.71912374834 + 405.5013673571*$t);
$X3 += 0.00000001078*cos(3.60318956091 + 1479.11039154791*$t);
$X3 += 0.00000001223*cos(4.59470445130 + 21.0968235189*$t);
$X3 += 0.00000001051*cos(2.88376336111 + 526.00262931501*$t);
$X3 += 0.00000001414*cos(2.28596268994 + 941.8182444855*$t);
$X3 += 0.00000001030*cos(4.60899071471 + 533.8669358412*$t);
$X3 += 0.00000001211*cos(4.41389386454 + 1069.92068841121*$t);
$X3 += 0.00000001240*cos(2.35782844542 + 934.70469748469*$t);
$X3 += 0.00000000944*cos(0.29242241358 + 1044.9110187041*$t);
$X3 += 0.00000001091*cos(5.67396621358 + 2111.8941308611*$t);
$X3 += 0.00000000986*cos(3.57242992336 + 2097.1794018925*$t);
$X3 += 0.00000000967*cos(3.71520398332 + 1588.82907780029*$t);
$X3 += 0.00000000939*cos(1.24033341734 + 13.9832765181*$t);
$X3 += 0.00000000870*cos(3.50165707483 + 639.6534688305*$t);
$X3 += 0.00000001013*cos(0.73509414390 + 1049.3308069342*$t);
$X3 += 0.00000000989*cos(1.29758643303 + 1148.00379292269*$t);
$X3 += 0.00000001043*cos(4.55359910492 + 1080.9663886751*$t);
$X3 += 0.00000000824*cos(2.60527227567 + 433.46792039329*$t);
$X3 += 0.00000001002*cos(5.58426670661 + 1788.38871420371*$t);
$X3 += 0.00000000823*cos(3.61010169574 + 654.3681977991*$t);
$X3 += 0.00000000801*cos(4.98281196861 + 1375.52998236229*$t);
$X3 += 0.00000000890*cos(3.08710678609 + 294.80741117069*$t);
$X3 += 0.00000000763*cos(4.57978148957 + 2421.1724535169*$t);
$X3 += 0.00000000793*cos(4.53708667061 + 234.8835539239*$t);
$X3 += 0.00000000752*cos(6.13454078435 + 1251.5842021083*$t);
$X3 += 0.00000000788*cos(0.83160211061 + 302.40859313851*$t);
$X3 += 0.00000000719*cos(1.71413188590 + 1787.9010792367*$t);
$X3 += 0.00000000760*cos(5.06618363392 + 2104.7805838603*$t);
$X3 += 0.00000000839*cos(0.13142328969 + 1898.5950354231*$t);
$X3 += 0.00000000962*cos(0.09321612606 + 2318.0796792983*$t);
$X3 += 0.00000000832*cos(0.14656820498 + 2001.68780964171*$t);
$X3 += 0.00000000930*cos(2.01393320120 + 96.2230447013*$t);
$X3 += 0.00000000879*cos(0.21241160083 + 845.8390172677*$t);
$X3 += 0.00000000780*cos(5.93658042409 + 611.1992808273*$t);
$X3 += 0.00000000900*cos(3.12757954089 + 1162.23088692429*$t);
$X3 += 0.00000000759*cos(1.64043504780 + 2008.3137216755*$t);
$X3 += 0.00000000715*cos(0.86869868609 + 1464.3956625793*$t);
$X3 += 0.00000000780*cos(6.10062998423 + 2214.98690507971*$t);
$X3 += 0.00000000679*cos(3.26847622660 + 2435.3995475185*$t);
$X3 += 0.00000000809*cos(0.41722409643 + 1994.5742626409*$t);
$X3 += 0.00000000772*cos(3.89077003744 + 220.16882495529*$t);
$X3 += 0.00000000622*cos(0.43134297347 + 316.14805217309*$t);
$X3 += 0.00000000612*cos(5.54465900470 + 749.8597900499*$t);
$X3 += 0.00000000612*cos(5.84476543520 + 117.0760507367*$t);
$X3 += 0.00000000713*cos(4.45141904690 + 1140.8902459219*$t);
$X3 += 0.00000000626*cos(2.69322845144 + 1692.40948698591*$t);
$X3 += 0.00000000676*cos(5.06415053228 + 2840.6570973921*$t);
$X3 += 0.00000000594*cos(6.08554261343 + 102.84895673509*$t);
$X3 += 0.00000000790*cos(1.96038787639 + 1251.0965671413*$t);
$X3 += 0.00000000756*cos(6.21273062765 + 1148.49142788971*$t);
$X3 += 0.00000000568*cos(2.41561339810 + 1141.3778808889*$t);
$X3 += 0.00000000616*cos(5.32006450469 + 2524.2652277355*$t);
$X3 += 0.00000000560*cos(1.32052284871 + 2104.2929488933*$t);
$X3 += 0.00000000686*cos(6.16886011032 + 2627.3580019541*$t);
$X3 += 0.00000000720*cos(2.07248159341 + 1258.21011414209*$t);
$X3 += 0.00000000733*cos(1.40692108080 + 1884.36794142151*$t);
$X3 += 0.00000000583*cos(3.07032575150 + 2751.79141717511*$t);
$X3 += 0.00000000546*cos(4.30523957810 + 543.6742416127*$t);
$X3 += 0.00000000530*cos(5.36356787938 + 1066.2516597065*$t);
$X3 += 0.00000000581*cos(0.74040675650 + 1780.78753223589*$t);
$X3 += 0.00000000523*cos(2.35523231154 + 1471.50920958009*$t);
$X3 += 0.00000000508*cos(1.53637927432 + 508.10650660869*$t);
$X3 += 0.00000000645*cos(5.04939320209 + 2015.9149036433*$t);
$X3 += 0.00000000553*cos(3.77158096643 + 852.9525642685*$t);
$X3 += 0.00000000480*cos(1.48751125961 + 1677.6947580173*$t);
$X3 += 0.00000000480*cos(1.48751125961 + 1678.1823929843*$t);
$X3 += 0.00000000618*cos(4.58568946876 + 1905.70858242391*$t);
$X3 += 0.00000000463*cos(2.69346041416 + 89.10949770051*$t);
$X3 += 0.00000000512*cos(1.92658763463 + 1155.1173399235*$t);
$X3 += 0.00000000497*cos(5.24109179268 + 1376.0176173293*$t);
$X3 += 0.00000000529*cos(3.98646203660 + 1802.6158082053*$t);
$X3 += 0.00000000617*cos(6.12621305930 + 2634.47154895491*$t);
$X3 += 0.00000000459*cos(4.38908201999 + 1691.9218520189*$t);
$X3 += 0.00000000503*cos(5.14894098049 + 948.9317914863*$t);
$X3 += 0.00000000547*cos(0.16414935856 + 2310.9661322975*$t);
$X3 += 0.00000000432*cos(2.24745181738 + 1567.48843679789*$t);
$X3 += 0.00000000432*cos(5.38904447097 + 1567.9760717649*$t);
$X3 += 0.00000000419*cos(0.18825223729 + 1361.3028883607*$t);
$X3 += 0.00000000415*cos(1.22669638769 + 558.3889705813*$t);
$X3 += 0.00000000415*cos(6.25558191427 + 501.4805945749*$t);
$X3 += 0.00000000413*cos(5.02515661889 + 1883.8803064545*$t);
$X3 += 0.00000000436*cos(4.68517073519 + 1464.8832975463*$t);
return $X3*$t*$t*$t;
}
function Jupiter_X4($t) // 73 terms of order 4
{
$X4 = 0.00001739145*cos(2.99660018877 + 537.0483295789*$t);
$X4 += 0.00001740807*cos(1.29193923641 + 522.8212355773*$t);
$X4 += 0.00000593812*cos(5.24154438099 + 529.9347825781*$t);
$X4 += 0.00000303714*cos(1.42080900852 + 515.70768857651*$t);
$X4 += 0.00000216971*cos(2.90416346781 + 544.1618765797*$t);
$X4 += 0.00000201301*cos(2.23147367590 + 0.2438174835*$t);
$X4 += 0.00000128314*cos(3.79998656469 + 1066.7392946735*$t);
$X4 += 0.00000084519*cos(4.38013747176 + 7.3573644843*$t);
$X4 += 0.00000066713*cos(1.02569869600 + 1052.51220067191*$t);
$X4 += 0.00000050914*cos(4.46050047710 + 14.47091148511*$t);
$X4 += 0.00000056189*cos(1.24300511536 + 1059.6257476727*$t);
$X4 += 0.00000023551*cos(0.46257856947 + 1045.3986536711*$t);
$X4 += 0.00000014975*cos(1.64416256689 + 508.5941415757*$t);
$X4 += 0.00000012320*cos(2.75903076030 + 1589.3167127673*$t);
$X4 += 0.00000010412*cos(3.45236443524 + 1073.85284167431*$t);
$X4 += 0.00000010436*cos(4.47365597327 + 1596.43025976811*$t);
$X4 += 0.00000010171*cos(5.43199507160 + 117.5636857037*$t);
$X4 += 0.00000007028*cos(4.53417325848 + 109.9625037359*$t);
$X4 += 0.00000007310*cos(2.57204763203 + 551.27542358051*$t);
$X4 += 0.00000005867*cos(2.76327576305 + 95.7354097343*$t);
$X4 += 0.00000005482*cos(4.10723362761 + 323.74923414091*$t);
$X4 += 0.00000005308*cos(4.17493851179 + 330.8627811417*$t);
$X4 += 0.00000005155*cos(5.15140142409 + 942.3058794525*$t);
$X4 += 0.00000004404*cos(0.12688032419 + 729.0067840145*$t);
$X4 += 0.00000003429*cos(0.28270437324 + 625.9140097959*$t);
$X4 += 0.00000003596*cos(4.90660665484 + 110.45013870291*$t);
$X4 += 0.00000003379*cos(3.68348076405 + 198.82818395289*$t);
$X4 += 0.00000002870*cos(1.39677778907 + 529.44714761109*$t);
$X4 += 0.00000003465*cos(0.05238096193 + 736.1203310153*$t);
$X4 += 0.00000002781*cos(1.08815967748 + 1582.2031657665*$t);
$X4 += 0.00000002710*cos(2.38998980124 + 441.06910236111*$t);
$X4 += 0.00000002621*cos(2.53533210188 + 1169.83206889211*$t);
$X4 += 0.00000002851*cos(3.77906778388 + 103.3365917021*$t);
$X4 += 0.00000003222*cos(3.34043716023 + 433.9555553603*$t);
$X4 += 0.00000002252*cos(0.76740108556 + 1155.6049748905*$t);
$X4 += 0.00000002643*cos(4.66187220612 + 426.8420083595*$t);
$X4 += 0.00000002565*cos(6.07676238286 + 6.86972951729*$t);
$X4 += 0.00000002154*cos(1.93925275699 + 618.8004627951*$t);
$X4 += 0.00000002044*cos(1.48052835765 + 419.72846135871*$t);
$X4 += 0.00000001513*cos(3.17740670423 + 220.6564599223*$t);
$X4 += 0.00000001619*cos(5.33278235904 + 633.0275567967*$t);
$X4 += 0.00000001503*cos(3.23684234354 + 2119.00767786191*$t);
$X4 += 0.00000001422*cos(3.21419588854 + 227.77000692311*$t);
$X4 += 0.00000001448*cos(0.63548633830 + 1575.08961876571*$t);
$X4 += 0.00000001354*cos(0.37531194856 + 956.53297345411*$t);
$X4 += 0.00000001398*cos(4.66226122647 + 301.9209581715*$t);
$X4 += 0.00000001551*cos(2.51719031322 + 640.1411037975*$t);
$X4 += 0.00000001193*cos(5.69090306000 + 853.4401992355*$t);
$X4 += 0.00000001228*cos(3.32529407238 + 536.5606946119*$t);
$X4 += 0.00000001153*cos(4.24056902908 + 426.3543733925*$t);
$X4 += 0.00000001111*cos(1.82993073798 + 309.5221401393*$t);
$X4 += 0.00000001322*cos(1.52760953063 + 412.6149143579*$t);
$X4 += 0.00000001137*cos(1.63346191003 + 1258.6977491091*$t);
$X4 += 0.00000000987*cos(5.01376257502 + 522.3336006103*$t);
$X4 += 0.00000000937*cos(1.26232145651 + 618.3128278281*$t);
$X4 += 0.00000000830*cos(2.55897013457 + 412.12727939089*$t);
$X4 += 0.00000000868*cos(0.67939405545 + 1038.2851066703*$t);
$X4 += 0.00000000819*cos(0.85929624974 + 742.74624304909*$t);
$X4 += 0.00000000952*cos(0.08637090339 + 831.6119232661*$t);
$X4 += 0.00000000903*cos(5.28542287743 + 949.4194264533*$t);
$X4 += 0.00000000740*cos(1.11419070098 + 832.0995582331*$t);
$X4 += 0.00000000726*cos(1.10542550627 + 839.2131052339*$t);
$X4 += 0.00000000890*cos(2.70182272881 + 647.25465079831*$t);
$X4 += 0.00000000672*cos(3.82581500735 + 102.84895673509*$t);
$X4 += 0.00000000598*cos(4.03229295405 + 337.9763281425*$t);
$X4 += 0.00000000711*cos(3.79919685217 + 515.2200536095*$t);
$X4 += 0.00000000557*cos(2.29520680686 + 1486.2239385487*$t);
$X4 += 0.00000000506*cos(2.29510505753 + 1059.1381127057*$t);
$X4 += 0.00000000464*cos(1.33006467962 + 117.0760507367*$t);
$X4 += 0.00000000479*cos(6.24011460202 + 526.7533888404*$t);
$X4 += 0.00000000451*cos(0.61581620782 + 1471.9968445471*$t);
$X4 += 0.00000000466*cos(1.24608768657 + 533.1161763158*$t);
$X4 += 0.00000000396*cos(3.90384143043 + 1603.5438067689*$t);
return $X4*$t*$t*$t*$t;
}
function Jupiter_X5($t) // 15 terms of order 5
{
$X5 = 0.00000131509*cos(1.09720765135 + 537.0483295789*$t);
$X5 += 0.00000126839*cos(3.14566028359 + 522.8212355773*$t);
$X5 += 0.00000048033*cos(3.18247744923 + 515.70768857651*$t);
$X5 += 0.00000034241*cos(1.11319864554 + 544.1618765797*$t);
$X5 += 0.00000011284*cos(2.13882736419 + 1066.7392946735*$t);
$X5 += 0.00000005229*cos(2.44608299466 + 0.2438174835*$t);
$X5 += 0.00000003712*cos(3.28596952033 + 1052.51220067191*$t);
$X5 += 0.00000004457*cos(5.28755623884 + 529.9347825781*$t);
$X5 += 0.00000001949*cos(1.73980382124 + 1073.85284167431*$t);
$X5 += 0.00000001738*cos(4.99242464275 + 1059.6257476727*$t);
$X5 += 0.00000001716*cos(3.05846955779 + 1045.3986536711*$t);
$X5 += 0.00000000879*cos(3.22039268284 + 508.5941415757*$t);
$X5 += 0.00000000886*cos(4.22728564482 + 551.27542358051*$t);
$X5 += 0.00000000665*cos(1.57102457622 + 7.3573644843*$t);
$X5 += 0.00000000466*cos(2.85877844081 + 1596.43025976811*$t);
return $X5*$t*$t*$t*$t*$t;
}
function Jupiter_Y0($t) // 1272 terms of order 0
{
$Y0 = 5.19591755961*cos(5.31193570238 + 529.9347825781*$t);
$Y0 += 0.37839498798*cos(1.82085166331 + 0.2438174835*$t);
$Y0 += 0.12593400247*cos(5.66155354525 + 1059.6257476727*$t);
$Y0 += 0.01504469362*cos(5.44173895105 + 522.8212355773*$t);
$Y0 += 0.01476016965*cos(2.04668425902 + 537.0483295789*$t);
$Y0 += 0.00457751771*cos(6.01125846140 + 1589.3167127673*$t);
$Y0 += 0.00301186623*cos(3.60619939116 + 7.3573644843*$t);
$Y0 += 0.00381996183*cos(3.55684846636 + 102.84895673509*$t);
$Y0 += 0.00193179179*cos(3.45595232302 + 426.8420083595*$t);
$Y0 += 0.00148291722*cos(4.58538691397 + 110.45013870291*$t);
$Y0 += 0.00142171400*cos(3.99477000498 + 633.0275567967*$t);
$Y0 += 0.00133443745*cos(5.60526571675 + 213.5429129215*$t);
$Y0 += 0.00102719450*cos(4.59936785476 + 1052.51220067191*$t);
$Y0 += 0.00087327523*cos(1.56302538060 + 529.44714761109*$t);
$Y0 += 0.00114122292*cos(4.72894061449 + 1162.7185218913*$t);
$Y0 += 0.00072093376*cos(2.39043228390 + 1066.7392946735*$t);
$Y0 += 0.00059268404*cos(2.89107868692 + 949.4194264533*$t);
$Y0 += 0.00068329094*cos(1.86754138371 + 846.3266522347*$t);
$Y0 += 0.00030209026*cos(4.54186591923 + 205.9417309537*$t);
$Y0 += 0.00034007392*cos(3.31774226555 + 419.2408263917*$t);
$Y0 += 0.00026616582*cos(3.28146731015 + 323.74923414091*$t);
$Y0 += 0.00019727427*cos(0.07815264028 + 2119.00767786191*$t);
$Y0 += 0.00017749540*cos(5.55480049652 + 419.72846135871*$t);
$Y0 += 0.00017560618*cos(0.38432139040 + 316.6356871401*$t);
$Y0 += 0.00016308761*cos(4.16521301086 + 736.1203310153*$t);
$Y0 += 0.00016227856*cos(5.58096312351 + 515.70768857651*$t);
$Y0 += 0.00014406626*cos(0.49204486417 + 743.23387801611*$t);
$Y0 += 0.00011421526*cos(1.91077907185 + 544.1618765797*$t);
$Y0 += 0.00010835166*cos(1.62316112493 + 103.3365917021*$t);
$Y0 += 0.00012154356*cos(2.18151132345 + 526.00262931501*$t);
$Y0 += 0.00011992571*cos(5.29747555409 + 533.8669358412*$t);
$Y0 += 0.00008455662*cos(1.90801507290 + 640.1411037975*$t);
$Y0 += 0.00008193182*cos(3.99950988528 + 1479.11039154791*$t);
$Y0 += 0.00008713455*cos(5.09554104540 + 1692.40948698591*$t);
$Y0 += 0.00007420814*cos(4.41221626331 + 956.53297345411*$t);
$Y0 += 0.00007565993*cos(5.61829156567 + 1265.81129610991*$t);
$Y0 += 0.00008202922*cos(2.98736132250 + 735.6326960483*$t);
$Y0 += 0.00007717111*cos(4.84373719017 + 1582.2031657665*$t);
$Y0 += 0.00005320837*cos(5.81736694969 + 526.7533888404*$t);
$Y0 += 0.00005217759*cos(1.66167068417 + 533.1161763158*$t);
$Y0 += 0.00005238212*cos(4.68306641983 + 522.3336006103*$t);
$Y0 += 0.00005774716*cos(3.46781064586 + 14.47091148511*$t);
$Y0 += 0.00005907614*cos(0.27080776672 + 109.9625037359*$t);
$Y0 += 0.00004575512*cos(2.18559360651 + 1376.0176173293*$t);
$Y0 += 0.00003939870*cos(2.73821792955 + 1596.43025976811*$t);
$Y0 += 0.00004568269*cos(3.71733952931 + 95.7354097343*$t);
$Y0 += 0.00003036375*cos(5.51572587470 + 309.0345051723*$t);
$Y0 += 0.00002856672*cos(4.44258466917 + 117.5636857037*$t);
$Y0 += 0.00002820138*cos(0.55276658901 + 632.5399218297*$t);
$Y0 += 0.00002442859*cos(2.66976611024 + 433.9555553603*$t);
$Y0 += 0.00002534517*cos(4.61010280175 + 625.9140097959*$t);
$Y0 += 0.00002329307*cos(1.22761098421 + 213.0552779545*$t);
$Y0 += 0.00002430903*cos(2.32333761217 + 220.6564599223*$t);
$Y0 += 0.00002673686*cos(1.61750799699 + 1169.83206889211*$t);
$Y0 += 0.00002396896*cos(4.36221151655 + 1045.3986536711*$t);
$Y0 += 0.00002503065*cos(2.72526085550 + 1052.02456570489*$t);
$Y0 += 0.00001817118*cos(3.95907641758 + 838.72547026689*$t);
$Y0 += 0.00002014206*cos(4.88058047490 + 1155.6049748905*$t);
$Y0 += 0.00001501452*cos(3.03509232132 + 942.3058794525*$t);
$Y0 += 0.00001454916*cos(4.18897174343 + 853.4401992355*$t);
$Y0 += 0.00001628897*cos(3.92104093589 + 75.0254160508*$t);
$Y0 += 0.00001106760*cos(5.64732593309 + 6.86972951729*$t);
$Y0 += 0.00001080777*cos(0.43950996921 + 316.14805217309*$t);
$Y0 += 0.00001041755*cos(4.81940326599 + 1795.5022612045*$t);
$Y0 += 0.00000996914*cos(1.51229276007 + 1272.9248431107*$t);
$Y0 += 0.00000928877*cos(4.68477803335 + 198.82818395289*$t);
$Y0 += 0.00000934490*cos(0.42872611846 + 2648.6986429565*$t);
$Y0 += 0.00000858575*cos(2.14237368311 + 529.88659846831*$t);
$Y0 += 0.00000858481*cos(5.34018482611 + 529.9829666879*$t);
$Y0 += 0.00001088006*cos(5.84659040992 + 527.4871020233*$t);
$Y0 += 0.00001080077*cos(1.63448618678 + 532.3824631329*$t);
$Y0 += 0.00000958229*cos(6.06015323795 + 149.8070146181*$t);
$Y0 += 0.00000830762*cos(5.25949378156 + 625.42637482889*$t);
$Y0 += 0.00000815889*cos(1.66863411356 + 1059.1381127057*$t);
$Y0 += 0.00000838684*cos(5.82302302292 + 3.6883357796*$t);
$Y0 += 0.00000956674*cos(0.63174409236 + 379.8839504765*$t);
$Y0 += 0.00000694759*cos(3.69145164541 + 1155.1173399235*$t);
$Y0 += 0.00000673874*cos(4.52164149268 + 2008.8013566425*$t);
$Y0 += 0.00000865777*cos(0.10096193323 + 426.3543733925*$t);
$Y0 += 0.00000897730*cos(2.48087145339 + 1368.4164353615*$t);
$Y0 += 0.00000667422*cos(0.38400668832 + 1368.9040703285*$t);
$Y0 += 0.00000747747*cos(3.13927711168 + 330.8627811417*$t);
$Y0 += 0.00000693620*cos(6.05103606639 + 1063.55790093581*$t);
$Y0 += 0.00000787813*cos(5.11429018504 + 839.2131052339*$t);
$Y0 += 0.00000614978*cos(4.83788756913 + 2111.8941308611*$t);
$Y0 += 0.00000680352*cos(5.00624167079 + 528.9715747316*$t);
$Y0 += 0.00000678592*cos(2.47610569321 + 530.89799042461*$t);
$Y0 += 0.00000574130*cos(5.45801133464 + 2222.1004520805*$t);
$Y0 += 0.00000644748*cos(3.49842430477 + 412.12727939089*$t);
$Y0 += 0.00000742423*cos(2.38906516060 + 206.42936592071*$t);
$Y0 += 0.00000563602*cos(2.49278594908 + 1055.6935944096*$t);
$Y0 += 0.00000559331*cos(4.30651563744 + 729.0067840145*$t);
$Y0 += 0.00000647539*cos(3.55462405942 + 984.8441491054*$t);
$Y0 += 0.00000460071*cos(2.25575075230 + 1073.85284167431*$t);
$Y0 += 0.00000403270*cos(5.70558430216 + 412.6149143579*$t);
$Y0 += 0.00000539827*cos(3.74550987414 + 38.3768531213*$t);
$Y0 += 0.00000407824*cos(1.41749002358 + 910.0625505381*$t);
$Y0 += 0.00000319575*cos(4.92965704995 + 941.8182444855*$t);
$Y0 += 0.00000301187*cos(2.49363421546 + 1905.70858242391*$t);
$Y0 += 0.00000330186*cos(5.17961869781 + 948.9317914863*$t);
$Y0 += 0.00000334161*cos(5.66579079606 + 76.50988875911*$t);
$Y0 += 0.00000292241*cos(3.42430216936 + 1471.50920958009*$t);
$Y0 += 0.00000388960*cos(4.48974750232 + 604.7163811454*$t);
$Y0 += 0.00000387023*cos(2.95645101689 + 455.1531840108*$t);
$Y0 += 0.00000303530*cos(3.49353690436 + 529.4135177163*$t);
$Y0 += 0.00000303139*cos(3.98877079900 + 530.45604743991*$t);
$Y0 += 0.00000276704*cos(5.36713470530 + 1486.2239385487*$t);
$Y0 += 0.00000383222*cos(3.32437927262 + 3.42521122121*$t);
$Y0 += 0.00000267964*cos(0.44358626370 + 309.5221401393*$t);
$Y0 += 0.00000270827*cos(5.75355417511 + 1258.6977491091*$t);
$Y0 += 0.00000264824*cos(4.51845894459 + 536.5606946119*$t);
$Y0 += 0.00000342262*cos(2.22920476980 + 1684.80830501809*$t);
$Y0 += 0.00000254392*cos(2.01389858651 + 1062.80714141041*$t);
$Y0 += 0.00000289891*cos(5.95965968983 + 742.74624304909*$t);
$Y0 += 0.00000227013*cos(3.08717315673 + 2126.1212248627*$t);
$Y0 += 0.00000219942*cos(4.62508932315 + 515.2200536095*$t);
$Y0 += 0.00000304124*cos(0.18282516849 + 6283.3196674749*$t);
$Y0 += 0.00000289590*cos(4.54086778359 + 305.10235190919*$t);
$Y0 += 0.00000225217*cos(1.93067375292 + 1699.5230339867*$t);
$Y0 += 0.00000192734*cos(5.73241739600 + 508.5941415757*$t);
$Y0 += 0.00000181955*cos(5.49121576696 + 1898.5950354231*$t);
$Y0 += 0.00000180824*cos(4.33642523532 + 1265.32366114289*$t);
$Y0 += 0.00000234431*cos(5.63602319498 + 1056.444353935*$t);
$Y0 += 0.00000210412*cos(2.44959263747 + 490.5779066629*$t);
$Y0 += 0.00000178960*cos(4.53074727531 + 527.01402127131*$t);
$Y0 += 0.00000184077*cos(4.02561581206 + 1471.9968445471*$t);
$Y0 += 0.00000177005*cos(2.95243370745 + 532.8555438849*$t);
$Y0 += 0.00000197754*cos(4.65708333161 + 1575.08961876571*$t);
$Y0 += 0.00000201548*cos(3.17115080743 + 728.5191490475*$t);
$Y0 += 0.00000164871*cos(1.90607027544 + 529.1840230527*$t);
$Y0 += 0.00000164585*cos(5.57619441078 + 530.68554210351*$t);
$Y0 += 0.00000191757*cos(5.01987763082 + 569.29165849331*$t);
$Y0 += 0.00000155012*cos(5.97029570081 + 519.63984183961*$t);
$Y0 += 0.00000216423*cos(0.97167033032 + 453.1810763355*$t);
$Y0 += 0.00000208270*cos(1.82244512865 + 1439.75351563271*$t);
$Y0 += 0.00000195461*cos(5.41018940348 + 1685.2959399851*$t);
$Y0 += 0.00000158021*cos(2.75745977713 + 525.7419968841*$t);
$Y0 += 0.00000155478*cos(4.72687069685 + 534.1275682721*$t);
$Y0 += 0.00000142916*cos(0.78899783107 + 11.2895177474*$t);
$Y0 += 0.00000166137*cos(2.08946903667 + 224.5886131854*$t);
$Y0 += 0.00000139568*cos(1.78496043471 + 647.25465079831*$t);
$Y0 += 0.00000194718*cos(3.73420656967 + 1021.49271203491*$t);
$Y0 += 0.00000142687*cos(4.63478591519 + 1258.21011414209*$t);
$Y0 += 0.00000136501*cos(4.43284450396 + 99.40443843901*$t);
$Y0 += 0.00000155156*cos(0.59258028164 + 845.8390172677*$t);
$Y0 += 0.00000148749*cos(5.65218277636 + 301.9209581715*$t);
$Y0 += 0.00000142483*cos(2.18605854450 + 227.77000692311*$t);
$Y0 += 0.00000128042*cos(0.68370572776 + 1162.23088692429*$t);
$Y0 += 0.00000129196*cos(3.16003204274 + 1787.9010792367*$t);
$Y0 += 0.00000176884*cos(1.60517740492 + 10213.5293636945*$t);
$Y0 += 0.00000120579*cos(1.51220345630 + 540.2297233166*$t);
$Y0 += 0.00000163945*cos(0.44168564921 + 1.7282901918*$t);
$Y0 += 0.00000135003*cos(2.22806039362 + 540.98048284201*$t);
$Y0 += 0.00000121846*cos(2.21825172668 + 524.3057082856*$t);
$Y0 += 0.00000120032*cos(5.26558395487 + 535.56385687061*$t);
$Y0 += 0.00000124238*cos(1.81767045547 + 983.3596763971*$t);
$Y0 += 0.00000123682*cos(1.77349067432 + 525.26891613211*$t);
$Y0 += 0.00000104430*cos(5.28755763826 + 530.0948412725*$t);
$Y0 += 0.00000104430*cos(2.19472066370 + 529.7747238837*$t);
$Y0 += 0.00000136458*cos(1.98358578274 + 2001.2001746747*$t);
$Y0 += 0.00000115988*cos(1.78467759503 + 750.3474250169*$t);
$Y0 += 0.00000104731*cos(1.75643097216 + 551.27542358051*$t);
$Y0 += 0.00000100945*cos(3.93006785022 + 1581.7155307995*$t);
$Y0 += 0.00000116158*cos(5.71003623422 + 534.6006490241*$t);
$Y0 += 0.00000122805*cos(3.33550817409 + 524.5181566067*$t);
$Y0 += 0.00000103104*cos(2.84340091211 + 963.6465204549*$t);
$Y0 += 0.00000115142*cos(5.03053273280 + 2325.1932262991*$t);
$Y0 += 0.00000120928*cos(4.14505296195 + 535.35140854951*$t);
$Y0 += 0.00000094293*cos(1.67313940200 + 1802.6158082053*$t);
$Y0 += 0.00000092521*cos(4.73521093464 + 1383.13116433011*$t);
$Y0 += 0.00000085964*cos(4.10984886270 + 831.6119232661*$t);
$Y0 += 0.00000091882*cos(1.46390569496 + 441.06910236111*$t);
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$Y0 += 0.00000000655*cos(3.37451455932 + 127.22797912329*$t);
$Y0 += 0.00000000468*cos(5.66081615363 + 582.62498061761*$t);
$Y0 += 0.00000000468*cos(1.82146214833 + 477.2445845386*$t);
$Y0 += 0.00000000543*cos(1.20297336764 + 481.1767378017*$t);
$Y0 += 0.00000000543*cos(6.27930493431 + 578.69282735451*$t);
$Y0 += 0.00000000517*cos(2.43390627861 + 76.0222537921*$t);
$Y0 += 0.00000000573*cos(6.09163052699 + 1132.9228735317*$t);
$Y0 += 0.00000000649*cos(5.08795164761 + 3184.6093831746*$t);
$Y0 += 0.00000000480*cos(2.95348186297 + 2133.2347718635*$t);
$Y0 += 0.00000000468*cos(0.49074178268 + 2048.1582325577*$t);
$Y0 += 0.00000000594*cos(1.96853371116 + 390.9296507404*$t);
$Y0 += 0.00000000459*cos(3.19244771660 + 937.8860912224*$t);
$Y0 += 0.00000000481*cos(0.56878471280 + 1443.6856688958*$t);
$Y0 += 0.00000000463*cos(4.21398380834 + 429.7627696663*$t);
$Y0 += 0.00000000545*cos(4.87328765120 + 3157.04896704871*$t);
$Y0 += 0.00000000475*cos(3.93834590521 + 3907.1525745821*$t);
$Y0 += 0.00000000609*cos(3.24848207205 + 1595.5364878908*$t);
$Y0 += 0.00000000473*cos(4.69599627940 + 733.67265046051*$t);
$Y0 += 0.00000000541*cos(5.85990514227 + 52176.0501006319*$t);
$Y0 += 0.00000000533*cos(1.27151481340 + 382.85289589309*$t);
$Y0 += 0.00000000534*cos(2.70958907609 + 843.8789716799*$t);
$Y0 += 0.00000000451*cos(3.99705226028 + 5371.30441967789*$t);
$Y0 += 0.00000000471*cos(2.88657776376 + 2572.4325716809*$t);
$Y0 += 0.00000000558*cos(0.57207825570 + 594.8945211589*$t);
$Y0 += 0.00000000588*cos(0.10678640907 + 458.33457774851*$t);
$Y0 += 0.00000000482*cos(2.66167846082 + 6114.7821151775*$t);
$Y0 += 0.00000000449*cos(6.27428540227 + 1221.6047488379*$t);
$Y0 += 0.00000000447*cos(3.64756714520 + 584.26951202031*$t);
$Y0 += 0.00000000447*cos(3.83471115676 + 475.6000531359*$t);
$Y0 += 0.00000000466*cos(2.22916713968 + 632.50629193491*$t);
$Y0 += 0.00000000624*cos(1.32472646328 + 10529.9212333511*$t);
$Y0 += 0.00000000605*cos(3.46941164072 + 300.854684461*$t);
$Y0 += 0.00000000487*cos(0.70356343888 + 321.3015535861*$t);
$Y0 += 0.00000000487*cos(1.71799868416 + 206.9049388002*$t);
$Y0 += 0.00000000526*cos(0.02936914645 + 1336.6607414141*$t);
$Y0 += 0.00000000450*cos(2.88322597733 + 518.62844988331*$t);
$Y0 += 0.00000000450*cos(1.45745967104 + 541.2411152729*$t);
$Y0 += 0.00000000452*cos(4.02637396486 + 252.4121538697*$t);
$Y0 += 0.00000000569*cos(1.35475382052 + 207.426203662*$t);
$Y0 += 0.00000000442*cos(2.28319191504 + 10976.83498721549*$t);
$Y0 += 0.00000000435*cos(3.61536948260 + 218.4719039259*$t);
$Y0 += 0.00000000536*cos(5.87308650386 + 1781.2751672029*$t);
$Y0 += 0.00000000606*cos(6.18675939821 + 6599.7115371315*$t);
$Y0 += 0.00000000430*cos(4.70071691496 + 2535.3109279994*$t);
$Y0 += 0.00000000465*cos(2.19694664935 + 1084.0047700609*$t);
$Y0 += 0.00000000528*cos(4.80779932075 + 557.75832326239*$t);
$Y0 += 0.00000000602*cos(0.32017022594 + 354.76872277791*$t);
$Y0 += 0.00000000602*cos(0.87892276884 + 705.1008423783*$t);
$Y0 += 0.00000000579*cos(0.48304329741 + 462.05428269051*$t);
$Y0 += 0.00000000579*cos(0.71604969737 + 597.8152824657*$t);
$Y0 += 0.00000000480*cos(3.58335127463 + 1106.0961705887*$t);
$Y0 += 0.00000000561*cos(5.19314855697 + 1859.2381595079*$t);
$Y0 += 0.00000000565*cos(4.77820464913 + 531.8948281659*$t);
$Y0 += 0.00000000593*cos(2.30529340153 + 1291.6747912064*$t);
$Y0 += 0.00000000593*cos(5.44688605512 + 1291.1871562394*$t);
$Y0 += 0.00000000467*cos(3.40834000086 + 2833.0559154243*$t);
$Y0 += 0.00000000423*cos(4.74881408933 + 799.8562293187*$t);
$Y0 += 0.00000000591*cos(4.03092476406 + 1819.3936486257*$t);
$Y0 += 0.00000000442*cos(5.80146904507 + 1069.18697522831*$t);
$Y0 += 0.00000000538*cos(2.60007571681 + 1065.35788782919*$t);
$Y0 += 0.00000000472*cos(3.85236778376 + 460.2946233363*$t);
$Y0 += 0.00000000432*cos(4.43898680981 + 2080.8746422241*$t);
$Y0 += 0.00000000415*cos(1.39162146625 + 4760.34895633411*$t);
$Y0 += 0.00000000455*cos(1.46286831547 + 2527.4466214732*$t);
$Y0 += 0.00000000506*cos(1.93326787770 + 535.6669227346*$t);
$Y0 += 0.00000000408*cos(4.65095351213 + 237.4343003427*$t);
$Y0 += 0.00000000558*cos(5.74240390212 + 2348.087775979*$t);
$Y0 += 0.00000000506*cos(3.68273316284 + 2424.3538472546*$t);
$Y0 += 0.00000000496*cos(4.48964897087 + 4120.4516700201*$t);
$Y0 += 0.00000000496*cos(4.48964897088 + 4119.96403505309*$t);
$Y0 += 0.00000000432*cos(6.00820922222 + 1301.236018762*$t);
$Y0 += 0.00000000550*cos(0.72236210742 + 8837.26792888169*$t);
$Y0 += 0.00000000546*cos(1.74052459203 + 761.98382611181*$t);
$Y0 += 0.00000000546*cos(1.74052459203 + 761.49619114479*$t);
$Y0 += 0.00000000435*cos(1.40434697094 + 205.8935468439*$t);
$Y0 += 0.00000000463*cos(2.74974947852 + 633.5488216585*$t);
$Y0 += 0.00000000408*cos(3.36326895916 + 1482.55490984399*$t);
$Y0 += 0.00000000483*cos(5.05507740192 + 2879.2632137819*$t);
$Y0 += 0.00000000511*cos(5.17393230173 + 1670.5812110165*$t);
$Y0 += 0.00000000421*cos(4.17496125106 + 638.65663108921*$t);
$Y0 += 0.00000000512*cos(6.20542375764 + 1474.4299708869*$t);
$Y0 += 0.00000000388*cos(4.23664234872 + 2425.10460678*$t);
$Y0 += 0.00000000483*cos(0.89849999521 + 154.0546820663*$t);
$Y0 += 0.00000000412*cos(2.38738008672 + 83.6234357599*$t);
$Y0 += 0.00000000384*cos(4.81263785100 + 673.8689054202*$t);
$Y0 += 0.00000000400*cos(1.20395052136 + 2755.7235704382*$t);
$Y0 += 0.00000000500*cos(5.48455845139 + 1973.37663399041*$t);
$Y0 += 0.00000000380*cos(4.43228458999 + 3583.64715792471*$t);
$Y0 += 0.00000000509*cos(1.52055177900 + 5856.23384163189*$t);
$Y0 += 0.00000000392*cos(1.84630187584 + 6328.0812106155*$t);
$Y0 += 0.00000000391*cos(3.77313110506 + 670.89996000361*$t);
$Y0 += 0.00000000397*cos(1.19492848989 + 50586.48957038109*$t);
$Y0 += 0.00000000468*cos(4.28211685631 + 1970.9289534356*$t);
$Y0 += 0.00000000491*cos(4.48946441703 + 1288.7058457898*$t);
$Y0 += 0.00000000491*cos(4.48946441703 + 1288.21821082279*$t);
$Y0 += 0.00000000472*cos(0.93312891407 + 416.532513406*$t);
$Y0 += 0.00000000491*cos(1.09230657741 + 601.5349874077*$t);
$Y0 += 0.00000000476*cos(1.86175772015 + 2015.42726867629*$t);
return $Y0;
}
function Jupiter_Y1($t) // 638 terms of order 1
{
$Y1 = 0.01912556490*cos(2.66195491149 + 0.2438174835*$t);
$Y1 += 0.00634902259*cos(4.81945405671 + 1059.6257476727*$t);
$Y1 += 0.00600483021*cos(0.85860311815 + 522.8212355773*$t);
$Y1 += 0.00589005176*cos(0.34484971445 + 537.0483295789*$t);
$Y1 += 0.00081432741*cos(1.90251633780 + 7.3573644843*$t);
$Y1 += 0.00046191617*cos(5.16976189642 + 1589.3167127673*$t);
$Y1 += 0.00037242394*cos(1.81456616256 + 529.9347825781*$t);
$Y1 += 0.00032508552*cos(0.17601327437 + 1052.51220067191*$t);
$Y1 += 0.00031231184*cos(0.77622354337 + 1066.7392946735*$t);
$Y1 += 0.00025950740*cos(0.81541881282 + 529.44714761109*$t);
$Y1 += 0.00020232242*cos(2.89760937255 + 110.45013870291*$t);
$Y1 += 0.00017941640*cos(2.45019898255 + 426.8420083595*$t);
$Y1 += 0.00013643757*cos(5.01666809262 + 633.0275567967*$t);
$Y1 += 0.00012962263*cos(0.99688324083 + 515.70768857651*$t);
$Y1 += 0.00009123979*cos(0.21013091394 + 544.1618765797*$t);
$Y1 += 0.00008098978*cos(4.58582444610 + 949.4194264533*$t);
$Y1 += 0.00007143102*cos(1.60287874390 + 323.74923414091*$t);
$Y1 += 0.00004115125*cos(6.25575758842 + 205.9417309537*$t);
$Y1 += 0.00004370464*cos(5.85779443169 + 736.1203310153*$t);
$Y1 += 0.00003400571*cos(1.33020584264 + 526.7533888404*$t);
$Y1 += 0.00003332481*cos(6.14941384034 + 533.1161763158*$t);
$Y1 += 0.00003869655*cos(1.76724210080 + 14.47091148511*$t);
$Y1 += 0.00003043986*cos(0.08336634740 + 526.00262931501*$t);
$Y1 += 0.00003013156*cos(1.02614271964 + 419.72846135871*$t);
$Y1 += 0.00003001886*cos(1.11282294120 + 533.8669358412*$t);
$Y1 += 0.00002892493*cos(3.33842613324 + 103.3365917021*$t);
$Y1 += 0.00002393125*cos(2.05143779600 + 316.6356871401*$t);
$Y1 += 0.00002989944*cos(5.51952313334 + 2119.00767786191*$t);
$Y1 += 0.00002354966*cos(4.86075556884 + 109.9625037359*$t);
$Y1 += 0.00001853775*cos(1.19886684605 + 1596.43025976811*$t);
$Y1 += 0.00001972856*cos(3.51875485226 + 956.53297345411*$t);
$Y1 += 0.00001820762*cos(5.38126290712 + 743.23387801611*$t);
$Y1 += 0.00001810752*cos(5.40985497363 + 95.7354097343*$t);
$Y1 += 0.00001531701*cos(2.74785652806 + 117.5636857037*$t);
$Y1 += 0.00001894874*cos(0.29375694918 + 1582.2031657665*$t);
$Y1 += 0.00001527752*cos(6.20401691579 + 640.1411037975*$t);
$Y1 += 0.00001634391*cos(6.11004516268 + 1045.3986536711*$t);
$Y1 += 0.00001088512*cos(6.22920436039 + 625.9140097959*$t);
$Y1 += 0.00001025988*cos(1.00202485870 + 433.9555553603*$t);
$Y1 += 0.00001045564*cos(0.95995839150 + 1265.81129610991*$t);
$Y1 += 0.00000977087*cos(0.62771509387 + 220.6564599223*$t);
$Y1 += 0.00000984636*cos(6.14139798618 + 1169.83206889211*$t);
$Y1 += 0.00000805130*cos(4.73126707725 + 942.3058794525*$t);
$Y1 += 0.00000821829*cos(0.95222022801 + 309.0345051723*$t);
$Y1 += 0.00000798891*cos(0.28589806015 + 1155.6049748905*$t);
$Y1 += 0.00000834956*cos(0.44929628324 + 522.3336006103*$t);
$Y1 += 0.00000600935*cos(3.92607423432 + 6.86972951729*$t);
$Y1 += 0.00000752130*cos(4.84106440602 + 1162.7185218913*$t);
$Y1 += 0.00000539923*cos(2.67204015773 + 853.4401992355*$t);
$Y1 += 0.00000599196*cos(5.78978587742 + 213.0552779545*$t);
$Y1 += 0.00000497018*cos(0.10277515742 + 198.82818395289*$t);
$Y1 += 0.00000476930*cos(4.32981816387 + 1692.40948698591*$t);
$Y1 += 0.00000499703*cos(1.45009748987 + 330.8627811417*$t);
$Y1 += 0.00000383795*cos(0.60109464211 + 1073.85284167431*$t);
$Y1 += 0.00000504945*cos(1.16897764893 + 1059.1381127057*$t);
$Y1 += 0.00000402231*cos(4.64005130261 + 1479.11039154791*$t);
$Y1 += 0.00000373538*cos(6.00201753992 + 729.0067840145*$t);
$Y1 += 0.00000349467*cos(4.67892334070 + 426.3543733925*$t);
$Y1 += 0.00000316847*cos(0.54679906466 + 839.2131052339*$t);
$Y1 += 0.00000324562*cos(4.14050846767 + 206.42936592071*$t);
$Y1 += 0.00000246849*cos(5.67682031680 + 838.72547026689*$t);
$Y1 += 0.00000255191*cos(5.19686775170 + 412.12727939089*$t);
$Y1 += 0.00000230121*cos(1.15174981889 + 508.5941415757*$t);
$Y1 += 0.00000246851*cos(0.17931647320 + 1272.9248431107*$t);
$Y1 += 0.00000222270*cos(1.13623310093 + 412.6149143579*$t);
$Y1 += 0.00000213383*cos(1.33041208002 + 1376.0176173293*$t);
$Y1 += 0.00000225567*cos(0.71754067098 + 625.42637482889*$t);
$Y1 += 0.00000212049*cos(1.46978417946 + 3.42521122121*$t);
$Y1 += 0.00000181234*cos(2.07915113995 + 1368.9040703285*$t);
$Y1 += 0.00000174181*cos(0.28202074120 + 1062.80714141041*$t);
$Y1 += 0.00000189391*cos(5.86988015498 + 2648.6986429565*$t);
$Y1 += 0.00000161119*cos(1.45320059873 + 519.63984183961*$t);
$Y1 += 0.00000157874*cos(3.21673827019 + 536.5606946119*$t);
$Y1 += 0.00000145420*cos(1.14766744266 + 1258.6977491091*$t);
$Y1 += 0.00000144205*cos(0.51347253517 + 1055.6935944096*$t);
$Y1 += 0.00000143507*cos(2.13497084119 + 309.5221401393*$t);
$Y1 += 0.00000126188*cos(1.74614874146 + 1063.55790093581*$t);
$Y1 += 0.00000124788*cos(0.04973007408 + 551.27542358051*$t);
$Y1 += 0.00000125329*cos(6.02678896114 + 540.2297233166*$t);
$Y1 += 0.00000146669*cos(1.15255926772 + 1056.444353935*$t);
$Y1 += 0.00000115893*cos(1.61083044890 + 2126.1212248627*$t);
$Y1 += 0.00000124485*cos(1.74552486835 + 3.6883357796*$t);
$Y1 += 0.00000118218*cos(0.09316615671 + 515.2200536095*$t);
$Y1 += 0.00000114208*cos(0.48741044761 + 227.77000692311*$t);
$Y1 += 0.00000113852*cos(4.27325397298 + 742.74624304909*$t);
$Y1 += 0.00000144447*cos(4.51237423492 + 1486.2239385487*$t);
$Y1 += 0.00000124849*cos(0.06146296380 + 1575.08961876571*$t);
$Y1 += 0.00000093951*cos(5.42064898050 + 1155.1173399235*$t);
$Y1 += 0.00000100599*cos(0.45008887739 + 2111.8941308611*$t);
$Y1 += 0.00000103583*cos(0.35190071477 + 419.2408263917*$t);
$Y1 += 0.00000092556*cos(0.28828088487 + 1699.5230339867*$t);
$Y1 += 0.00000099479*cos(1.07544165521 + 301.9209581715*$t);
$Y1 += 0.00000082832*cos(6.00125174633 + 441.06910236111*$t);
$Y1 += 0.00000086688*cos(0.38035962497 + 941.8182444855*$t);
$Y1 += 0.00000095969*cos(3.69584152771 + 102.84895673509*$t);
$Y1 += 0.00000080324*cos(5.59950981116 + 1471.9968445471*$t);
$Y1 += 0.00000102333*cos(1.61778028756 + 21.5844584859*$t);
$Y1 += 0.00000078195*cos(3.52242385121 + 525.26891613211*$t);
$Y1 += 0.00000074123*cos(0.00610250389 + 647.25465079831*$t);
$Y1 += 0.00000079270*cos(4.84421399324 + 728.5191490475*$t);
$Y1 += 0.00000074807*cos(3.95788072941 + 534.6006490241*$t);
$Y1 += 0.00000087759*cos(5.73493623659 + 632.5399218297*$t);
$Y1 += 0.00000069800*cos(1.23323877527 + 618.8004627951*$t);
$Y1 += 0.00000060886*cos(2.49979217695 + 846.3266522347*$t);
$Y1 += 0.00000058777*cos(0.68694828546 + 832.0995582331*$t);
$Y1 += 0.00000061003*cos(4.67098980984 + 2222.1004520805*$t);
$Y1 += 0.00000066693*cos(0.71208583440 + 1685.2959399851*$t);
$Y1 += 0.00000050999*cos(4.21005408384 + 2008.8013566425*$t);
$Y1 += 0.00000050585*cos(3.18331095946 + 213.5429129215*$t);
$Y1 += 0.00000045850*cos(5.81161674510 + 831.6119232661*$t);
$Y1 += 0.00000052339*cos(6.09582232771 + 1038.2851066703*$t);
$Y1 += 0.00000046409*cos(0.92753148155 + 524.5181566067*$t);
$Y1 += 0.00000049446*cos(1.18421196454 + 963.6465204549*$t);
$Y1 += 0.00000045782*cos(0.27156151413 + 535.35140854951*$t);
$Y1 += 0.00000061385*cos(1.06154014565 + 1795.5022612045*$t);
$Y1 += 0.00000058958*cos(4.48450787354 + 316.14805217309*$t);
$Y1 += 0.00000059833*cos(2.97158993654 + 4.1759707466*$t);
$Y1 += 0.00000043525*cos(5.11993607277 + 149.8070146181*$t);
$Y1 += 0.00000039973*cos(3.25434306386 + 1383.13116433011*$t);
$Y1 += 0.00000053170*cos(6.26998243842 + 750.3474250169*$t);
$Y1 += 0.00000039316*cos(5.15930242259 + 1471.50920958009*$t);
$Y1 += 0.00000040288*cos(3.34770952676 + 948.9317914863*$t);
$Y1 += 0.00000038303*cos(5.96851436892 + 511.7755353134*$t);
$Y1 += 0.00000036523*cos(1.51420379775 + 548.0940298428*$t);
$Y1 += 0.00000038571*cos(0.07822093186 + 1258.21011414209*$t);
$Y1 += 0.00000035601*cos(1.24662275151 + 10.538758222*$t);
$Y1 += 0.00000036868*cos(6.25234770646 + 527.01402127131*$t);
$Y1 += 0.00000036603*cos(1.23015836922 + 532.8555438849*$t);
$Y1 += 0.00000041197*cos(5.04821165837 + 845.8390172677*$t);
$Y1 += 0.00000030575*cos(2.56475167146 + 124.6772327045*$t);
$Y1 += 0.00000027619*cos(0.12568890457 + 1802.6158082053*$t);
$Y1 += 0.00000032289*cos(0.79016845152 + 618.3128278281*$t);
$Y1 += 0.00000028470*cos(4.61927587685 + 1044.9110187041*$t);
$Y1 += 0.00000025452*cos(2.91722591057 + 1265.32366114289*$t);
$Y1 += 0.00000027183*cos(1.12751765708 + 1898.5950354231*$t);
$Y1 += 0.00000022512*cos(2.01936139354 + 639.6534688305*$t);
$Y1 += 0.00000022622*cos(4.89596842874 + 935.19233245171*$t);
$Y1 += 0.00000024508*cos(2.13953774929 + 1361.79052332771*$t);
$Y1 += 0.00000025260*cos(0.24154081456 + 540.98048284201*$t);
$Y1 += 0.00000020677*cos(5.55082476196 + 1148.00379292269*$t);
$Y1 += 0.00000028190*cos(1.50681890023 + 1905.70858242391*$t);
$Y1 += 0.00000020297*cos(5.38737168791 + 1162.23088692429*$t);
$Y1 += 0.00000025685*cos(3.12279377202 + 735.6326960483*$t);
$Y1 += 0.00000019769*cos(3.96513942756 + 11.2895177474*$t);
$Y1 += 0.00000017928*cos(4.61925187754 + 98.91680347199*$t);
$Y1 += 0.00000017469*cos(4.89788003858 + 1787.9010792367*$t);
$Y1 += 0.00000018703*cos(6.07505587521 + 1574.6019837987*$t);
$Y1 += 0.00000018135*cos(2.36351314755 + 910.0625505381*$t);
$Y1 += 0.00000017089*cos(0.99046288782 + 1603.5438067689*$t);
$Y1 += 0.00000017538*cos(4.47072594413 + 525.7419968841*$t);
$Y1 += 0.00000017368*cos(3.01139967776 + 534.1275682721*$t);
$Y1 += 0.00000019204*cos(3.80241402375 + 1375.52998236229*$t);
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$Y1 += 0.00000001684*cos(0.90643601570 + 1364.9719170654*$t);
$Y1 += 0.00000001453*cos(1.55271946857 + 526.2657538734*$t);
$Y1 += 0.00000001700*cos(4.86312330636 + 725.0746307514*$t);
$Y1 += 0.00000001360*cos(1.93936734070 + 917.1760975389*$t);
$Y1 += 0.00000001426*cos(4.95337494898 + 2840.1694624251*$t);
$Y1 += 0.00000001498*cos(3.83211973659 + 1134.40734624*$t);
$Y1 += 0.00000001410*cos(4.97053896796 + 1091.86907658711*$t);
$Y1 += 0.00000001520*cos(5.37749544795 + 977.7306021046*$t);
$Y1 += 0.00000001747*cos(3.17984072825 + 2324.70559133209*$t);
$Y1 += 0.00000001288*cos(3.95858951452 + 732.1881777522*$t);
$Y1 += 0.00000001713*cos(3.60652551663 + 2427.7983655507*$t);
$Y1 += 0.00000001282*cos(5.53618260525 + 1475.1782382848*$t);
$Y1 += 0.00000001517*cos(1.63411439321 + 1439.75351563271*$t);
$Y1 += 0.00000001271*cos(4.19498605517 + 843.145258497*$t);
$Y1 += 0.00000001308*cos(5.87705324776 + 558.3889705813*$t);
$Y1 += 0.00000001677*cos(0.97487380844 + 611.1992808273*$t);
$Y1 += 0.00000001256*cos(4.41755923055 + 2854.8841913937*$t);
$Y1 += 0.00000001366*cos(3.14960813536 + 1446.8670626335*$t);
$Y1 += 0.00000001435*cos(4.97960275859 + 991.9576961062*$t);
$Y1 += 0.00000001144*cos(5.29122600369 + 1482.2917852856*$t);
$Y1 += 0.00000001142*cos(4.39466768970 + 408.19512612779*$t);
$Y1 += 0.00000001147*cos(5.28949177860 + 3068.1832868317*$t);
$Y1 += 0.00000001501*cos(5.53595039529 + 75.0254160508*$t);
$Y1 += 0.00000001226*cos(3.45697923185 + 1141.3778808889*$t);
$Y1 += 0.00000001323*cos(5.16542134486 + 284.39235822571*$t);
$Y1 += 0.00000001150*cos(5.21811270268 + 430.2865266556*$t);
$Y1 += 0.00000001292*cos(1.65611589428 + 1994.5742626409*$t);
$Y1 += 0.00000001226*cos(2.47910206722 + 372.77040347569*$t);
$Y1 += 0.00000001132*cos(3.62425240134 + 1063.8185333667*$t);
$Y1 += 0.00000001079*cos(0.26090286718 + 1483.042544811*$t);
$Y1 += 0.00000001111*cos(4.66761037682 + 2413.5712715491*$t);
$Y1 += 0.00000001252*cos(5.77247306070 + 473.31243127551*$t);
$Y1 += 0.00000001242*cos(2.94913211429 + 539.4960101337*$t);
$Y1 += 0.00000001242*cos(1.39155353408 + 520.37355502251*$t);
$Y1 += 0.00000001169*cos(1.94705823334 + 386.9974974773*$t);
$Y1 += 0.00000001003*cos(1.46144081160 + 216.9874312176*$t);
$Y1 += 0.00000001030*cos(3.78515085968 + 850.25880549781*$t);
$Y1 += 0.00000001165*cos(1.66344587729 + 2758.9049641759*$t);
$Y1 += 0.00000000984*cos(3.96978325817 + 522.7730514675*$t);
$Y1 += 0.00000000984*cos(0.37090239019 + 537.09651368871*$t);
$Y1 += 0.00000001015*cos(5.23058664749 + 451.2210307477*$t);
$Y1 += 0.00000001310*cos(2.45586682061 + 1354.6769763269*$t);
$Y1 += 0.00000001121*cos(2.24397477114 + 4164.0681721295*$t);
$Y1 += 0.00000000956*cos(0.45045343285 + 2950.8634186115*$t);
$Y1 += 0.00000000940*cos(5.04866396759 + 39.6006933987*$t);
$Y1 += 0.00000000949*cos(0.52248659569 + 1475.9289978102*$t);
$Y1 += 0.00000000992*cos(1.30939511951 + 1969.4444807273*$t);
$Y1 += 0.00000000935*cos(3.89177610875 + 3053.46855786309*$t);
$Y1 += 0.00000001085*cos(1.70979702342 + 586.5571338807*$t);
$Y1 += 0.00000000901*cos(1.38326808068 + 248.9676355736*$t);
$Y1 += 0.00000000894*cos(1.47962768735 + 2847.28300942589*$t);
$Y1 += 0.00000000948*cos(4.80656003236 + 2221.6128171135*$t);
$Y1 += 0.00000000923*cos(0.00868868373 + 2421.1724535169*$t);
$Y1 += 0.00000001070*cos(5.69849027842 + 2200.2721761111*$t);
$Y1 += 0.00000001169*cos(2.53153449921 + 100.4012761803*$t);
$Y1 += 0.00000001005*cos(3.63845316069 + 1432.6399686319*$t);
$Y1 += 0.00000001017*cos(3.67405924039 + 8094.2778683491*$t);
$Y1 += 0.00000000984*cos(3.45627656974 + 537.0001454691*$t);
$Y1 += 0.00000000984*cos(0.88440907863 + 522.8694196871*$t);
$Y1 += 0.00000001118*cos(1.42327440603 + 416.547067621*$t);
$Y1 += 0.00000000914*cos(5.81575314491 + 1140.8902459219*$t);
$Y1 += 0.00000000977*cos(1.34926302993 + 312.9666584354*$t);
$Y1 += 0.00000000840*cos(0.85450942681 + 1579.0217720288*$t);
$Y1 += 0.00000000891*cos(0.04963060055 + 486.64575339981*$t);
$Y1 += 0.00000000849*cos(0.94811547267 + 834.7933170038*$t);
$Y1 += 0.00000000926*cos(2.63549295580 + 532.6285413488*$t);
$Y1 += 0.00000000832*cos(2.25169167762 + 608.64853440851*$t);
$Y1 += 0.00000000975*cos(3.40649349112 + 21.0968235189*$t);
$Y1 += 0.00000000794*cos(5.26516657623 + 1791.5701079414*$t);
$Y1 += 0.00000001006*cos(1.72593750499 + 2310.9661322975*$t);
$Y1 += 0.00000000825*cos(1.82039899833 + 8616.85528644289*$t);
$Y1 += 0.00000000827*cos(0.54227509993 + 2545.6058687379*$t);
$Y1 += 0.00000000955*cos(1.09478150456 + 760.01171843649*$t);
$Y1 += 0.00000000955*cos(4.23637415815 + 760.4993534035*$t);
$Y1 += 0.00000000936*cos(1.28100839064 + 155.53915477459*$t);
$Y1 += 0.00000000779*cos(0.26183378572 + 1792.3208674668*$t);
$Y1 += 0.00000000766*cos(0.71363802237 + 3811.1733473643*$t);
$Y1 += 0.00000000773*cos(3.84885148203 + 738.814089786*$t);
$Y1 += 0.00000000788*cos(5.43030953147 + 732.45130231059*$t);
$Y1 += 0.00000000801*cos(3.05581987419 + 77204.08367704989*$t);
$Y1 += 0.00000000937*cos(6.26646142496 + 297.9888049084*$t);
$Y1 += 0.00000000779*cos(3.79015371961 + 538.0115374254*$t);
$Y1 += 0.00000000779*cos(0.55053192876 + 521.8580277308*$t);
$Y1 += 0.00000000755*cos(2.10425922159 + 8631.0823804445*$t);
$Y1 += 0.00000000743*cos(3.49834818410 + 1060.1470125345*$t);
$Y1 += 0.00000000790*cos(3.19521603309 + 902.94900353731*$t);
$Y1 += 0.00000000897*cos(1.19433126461 + 1485.7363035817*$t);
$Y1 += 0.00000000991*cos(3.33499486125 + 2744.1902352073*$t);
$Y1 += 0.00000000740*cos(5.64369354959 + 277.2788112249*$t);
$Y1 += 0.00000000780*cos(5.38986403689 + 606.2008538537*$t);
$Y1 += 0.00000000738*cos(1.96155322417 + 4856.32818355191*$t);
$Y1 += 0.00000000799*cos(1.14946240957 + 573.2238117564*$t);
$Y1 += 0.00000000802*cos(2.35697578389 + 984.8441491054*$t);
$Y1 += 0.00000000761*cos(0.74324276764 + 2744.6778701743*$t);
$Y1 += 0.00000000735*cos(3.91525398793 + 4650.1426351147*$t);
$Y1 += 0.00000000721*cos(3.82827689917 + 731.70054278519*$t);
$Y1 += 0.00000000850*cos(2.33025907115 + 775.4772069305*$t);
$Y1 += 0.00000000717*cos(5.22051515031 + 5746.0275204125*$t);
$Y1 += 0.00000000754*cos(3.01162160350 + 202.4972126576*$t);
$Y1 += 0.00000000787*cos(1.45241015286 + 320.0802054362*$t);
$Y1 += 0.00000000739*cos(4.25049662100 + 967.57867371801*$t);
$Y1 += 0.00000000744*cos(0.24478158041 + 2847.77064439291*$t);
$Y1 += 0.00000000684*cos(5.02015802407 + 1798.68365494221*$t);
$Y1 += 0.00000000700*cos(4.52571213685 + 572.473052231*$t);
$Y1 += 0.00000000700*cos(2.95656616511 + 487.3965129252*$t);
$Y1 += 0.00000000690*cos(1.37931038856 + 2118.5200428949*$t);
$Y1 += 0.00000000670*cos(2.76522726571 + 245.2986068689*$t);
$Y1 += 0.00000000668*cos(5.20188694033 + 739.5648493114*$t);
$Y1 += 0.00000000667*cos(5.58822887801 + 1013.1553247567*$t);
$Y1 += 0.00000000762*cos(0.14158644002 + 9153.6597985383*$t);
$Y1 += 0.00000000711*cos(4.68249485250 + 3156.5613320817*$t);
$Y1 += 0.00000000679*cos(5.25016144281 + 24498.58642880689*$t);
$Y1 += 0.00000000729*cos(4.80734453852 + 4547.04986089611*$t);
$Y1 += 0.00000000692*cos(4.62037992194 + 5062.5137319891*$t);
$Y1 += 0.00000000649*cos(6.27552774113 + 1799.4344144676*$t);
$Y1 += 0.00000000677*cos(2.25267578062 + 10.051123255*$t);
$Y1 += 0.00000000784*cos(5.42419314811 + 3281.4823822697*$t);
$Y1 += 0.00000000733*cos(2.27993558439 + 453.66871130251*$t);
$Y1 += 0.00000000643*cos(4.14281979615 + 2310.4784973305*$t);
$Y1 += 0.00000000658*cos(1.58035282058 + 305.85311143459*$t);
$Y1 += 0.00000000784*cos(2.49180999721 + 74.53778108379*$t);
$Y1 += 0.00000000704*cos(5.13288018853 + 5165.60650620771*$t);
$Y1 += 0.00000000648*cos(0.46023761646 + 1382.64352936309*$t);
$Y1 += 0.00000000786*cos(4.88358448252 + 1290.19031849811*$t);
$Y1 += 0.00000000844*cos(6.14413478231 + 312.21589891*$t);
$Y1 += 0.00000000703*cos(4.75268520401 + 2288.1002260279*$t);
$Y1 += 0.00000000703*cos(5.25408808776 + 2273.8731320263*$t);
$Y1 += 0.00000000797*cos(2.87597815652 + 2641.0974609887*$t);
$Y1 += 0.00000000635*cos(2.14518246830 + 397.9001853893*$t);
$Y1 += 0.00000000607*cos(1.30612000311 + 1689.2280932482*$t);
$Y1 += 0.00000000626*cos(0.39224578590 + 2524.2652277355*$t);
$Y1 += 0.00000000636*cos(4.99095278095 + 511.2879003464*$t);
$Y1 += 0.00000000613*cos(0.56214188686 + 1037.7974717033*$t);
$Y1 += 0.00000000614*cos(3.18089955415 + 2957.9769656123*$t);
$Y1 += 0.00000000747*cos(5.14974622689 + 5223.4501023187*$t);
$Y1 += 0.00000000606*cos(0.77338936404 + 1751.2957139325*$t);
$Y1 += 0.00000000779*cos(4.30366040804 + 523.7844434238*$t);
$Y1 += 0.00000000779*cos(0.03702524033 + 536.08512173241*$t);
$Y1 += 0.00000000607*cos(1.35240171145 + 2133.2347718635*$t);
$Y1 += 0.00000000744*cos(6.04795940886 + 643.32249753521*$t);
$Y1 += 0.00000000697*cos(0.66536766751 + 1354.18934135989*$t);
$Y1 += 0.00000000669*cos(3.25849716631 + 5069.6272789899*$t);
$Y1 += 0.00000000762*cos(1.79392292274 + 1262.6299023722*$t);
$Y1 += 0.00000000765*cos(0.61378577745 + 927.5911504839*$t);
$Y1 += 0.00000000720*cos(1.48952280347 + 3075.2968338325*$t);
$Y1 += 0.00000000573*cos(5.97535724360 + 394.5986794451*$t);
$Y1 += 0.00000000634*cos(6.09733077732 + 470.1310375378*$t);
$Y1 += 0.00000000559*cos(0.92745429765 + 445.00125562421*$t);
$Y1 += 0.00000000671*cos(4.72931368260 + 454.6655490438*$t);
$Y1 += 0.00000000755*cos(1.43187121540 + 105.2966372899*$t);
$Y1 += 0.00000000567*cos(5.33251485606 + 1887.5493351592*$t);
$Y1 += 0.00000000593*cos(5.99788761622 + 842.65762352999*$t);
$Y1 += 0.00000000564*cos(2.51973397119 + 1127.2937992392*$t);
$Y1 += 0.00000000547*cos(0.43054759456 + 4127.5652170209*$t);
$Y1 += 0.00000000624*cos(2.95261781250 + 25035.39094090229*$t);
$Y1 += 0.00000000545*cos(6.09691062396 + 810.90192958261*$t);
$Y1 += 0.00000000641*cos(1.20453451725 + 305.5899868762*$t);
$Y1 += 0.00000000593*cos(1.40845707752 + 1063.0702659688*$t);
$Y1 += 0.00000000574*cos(0.22531417131 + 1699.0353990197*$t);
$Y1 += 0.00000000616*cos(3.45400333076 + 25021.16384690069*$t);
$Y1 += 0.00000000721*cos(2.41192409328 + 1819.8812835927*$t);
$Y1 += 0.00000000537*cos(1.85187456995 + 782.59075393131*$t);
$Y1 += 0.00000000597*cos(4.07180274826 + 379.8839504765*$t);
$Y1 += 0.00000000543*cos(3.12698436492 + 216.72430665921*$t);
$Y1 += 0.00000000552*cos(0.25020791353 + 1268.9926898476*$t);
$Y1 += 0.00000000534*cos(6.16996002402 + 437.136949098*$t);
$Y1 += 0.00000000588*cos(5.43198241681 + 460.2946233363*$t);
$Y1 += 0.00000000524*cos(4.47141172676 + 518.40144734719*$t);
$Y1 += 0.00000000701*cos(0.58425032979 + 1670.5812110165*$t);
$Y1 += 0.00000000632*cos(5.83508891293 + 4525.7092198937*$t);
$Y1 += 0.00000000546*cos(3.16244281187 + 89.10949770051*$t);
$Y1 += 0.00000000496*cos(4.51139575372 + 3171.2760610503*$t);
$Y1 += 0.00000000501*cos(4.75534479759 + 32.48714639791*$t);
$Y1 += 0.00000000508*cos(4.65099599522 + 827.67977000299*$t);
$Y1 += 0.00000000493*cos(3.86150271006 + 10022.0810975829*$t);
$Y1 += 0.00000000550*cos(5.31707353623 + 2516.66404576769*$t);
$Y1 += 0.00000000546*cos(1.38494758910 + 589.7385276184*$t);
$Y1 += 0.00000000509*cos(0.35849492381 + 4686.6455902233*$t);
$Y1 += 0.00000000505*cos(0.21007516833 + 754.27957828001*$t);
$Y1 += 0.00000000479*cos(3.15486072496 + 5223.93773728571*$t);
$Y1 += 0.00000000461*cos(2.56623041309 + 1595.9426248011*$t);
$Y1 += 0.00000000472*cos(0.95774392273 + 3163.6748790825*$t);
$Y1 += 0.00000000472*cos(0.95774392273 + 3164.1625140495*$t);
$Y1 += 0.00000000509*cos(5.55791627029 + 69.3963417583*$t);
$Y1 += 0.00000000546*cos(0.44435269123 + 2840.6570973921*$t);
$Y1 += 0.00000000615*cos(0.32730812757 + 519.15220687259*$t);
$Y1 += 0.00000000579*cos(4.02359849872 + 525.514994348*$t);
$Y1 += 0.00000000455*cos(5.55680477419 + 1468.06469128401*$t);
$Y1 += 0.00000000451*cos(0.27162002670 + 614.868309532*$t);
$Y1 += 0.00000000451*cos(4.98348360302 + 2107.96197759801*$t);
$Y1 += 0.00000000450*cos(0.83061588531 + 3480.06674873909*$t);
$Y1 += 0.00000000450*cos(0.83061588531 + 3480.5543837061*$t);
$Y1 += 0.00000000447*cos(6.20310325477 + 3267.2552882681*$t);
$Y1 += 0.00000000467*cos(0.09916917853 + 1490.15609181181*$t);
$Y1 += 0.00000000472*cos(5.54856635272 + 1457.2821155785*$t);
$Y1 += 0.00000000462*cos(5.48144983275 + 26617.8379241523*$t);
$Y1 += 0.00000000440*cos(5.31113210528 + 3384.08752152129*$t);
$Y1 += 0.00000000440*cos(5.31113210528 + 3384.5751564883*$t);
$Y1 += 0.00000000453*cos(4.59459163866 + 9154.1474335053*$t);
$Y1 += 0.00000000440*cos(4.77291542298 + 2538.00468677009*$t);
$Y1 += 0.00000000616*cos(0.11097190779 + 1560.3748897971*$t);
$Y1 += 0.00000000437*cos(3.78589316644 + 4966.5345047713*$t);
$Y1 += 0.00000000433*cos(0.72851985281 + 4700.87268422489*$t);
$Y1 += 0.00000000439*cos(0.00874316549 + 2108.7127371234*$t);
$Y1 += 0.00000000452*cos(3.24655844352 + 1551.1836771295*$t);
$Y1 += 0.00000000483*cos(0.54583867389 + 629.35852809199*$t);
$Y1 += 0.00000000455*cos(2.09561269155 + 1368.4164353615*$t);
$Y1 += 0.00000000454*cos(1.06884234808 + 1884.36794142151*$t);
$Y1 += 0.00000000476*cos(2.84297109529 + 3060.5821048639*$t);
$Y1 += 0.00000000414*cos(5.93250814925 + 533.37930087419*$t);
$Y1 += 0.00000000434*cos(4.40957688009 + 622.2449810912*$t);
$Y1 += 0.00000000434*cos(1.26798422650 + 622.7326160582*$t);
$Y1 += 0.00000000423*cos(6.09756499780 + 415.04804069769*$t);
$Y1 += 0.00000000411*cos(2.21364343296 + 4539.44867892829*$t);
$Y1 += 0.00000000411*cos(2.21364343296 + 4539.9363138953*$t);
$Y1 += 0.00000000507*cos(2.46156999040 + 3252.5405592995*$t);
$Y1 += 0.00000000401*cos(0.60477521531 + 1040.97886544099*$t);
$Y1 += 0.00000000424*cos(0.17468685146 + 1254.765595846*$t);
$Y1 += 0.00000000407*cos(1.50695117865 + 665.27088571111*$t);
$Y1 += 0.00000000428*cos(4.09362449264 + 12036.21691740469*$t);
$Y1 += 0.00000000487*cos(4.98974857689 + 1901.7764291608*$t);
$Y1 += 0.00000000484*cos(1.19386220714 + 1357.8583700646*$t);
$Y1 += 0.00000000435*cos(4.56496977263 + 2729.96314120569*$t);
$Y1 += 0.00000000435*cos(1.42337711904 + 2730.45077617271*$t);
$Y1 += 0.00000000393*cos(3.70194655878 + 3803.5721653965*$t);
$Y1 += 0.00000000393*cos(3.70194655878 + 3804.0598003635*$t);
$Y1 += 0.00000000396*cos(2.29672548563 + 1020.2688717575*$t);
$Y1 += 0.00000000413*cos(0.90721614242 + 1902.5271886862*$t);
$Y1 += 0.00000000438*cos(5.82247234506 + 611.8299281462*$t);
$Y1 += 0.00000000404*cos(1.67645195925 + 2042.7416065863*$t);
$Y1 += 0.00000000412*cos(4.61028536998 + 4863.4417305527*$t);
$Y1 += 0.00000000379*cos(0.15728961892 + 4443.9570866775*$t);
$Y1 += 0.00000000528*cos(6.10721110527 + 721.40560204669*$t);
$Y1 += 0.00000000392*cos(5.54718824078 + 2001.2001746747*$t);
$Y1 += 0.00000000379*cos(0.35077315636 + 9676.23721663209*$t);
$Y1 += 0.00000000379*cos(3.49236580995 + 9676.7248515991*$t);
$Y1 += 0.00000000372*cos(3.07971309061 + 3273.8812003019*$t);
$Y1 += 0.00000000372*cos(3.07971309060 + 3274.36883526891*$t);
return $Y1*$t;
}
function Jupiter_Y2($t) // 358 terms of order 2
{
$Y2 = 0.00202462055*cos(0.59792458091 + 529.9347825781*$t);
$Y2 += 0.00132313738*cos(3.89295968796 + 0.2438174835*$t);
$Y2 += 0.00123752958*cos(2.55853913064 + 522.8212355773*$t);
$Y2 += 0.00121682952*cos(4.91767938901 + 537.0483295789*$t);
$Y2 += 0.00035719700*cos(3.45512045921 + 1059.6257476727*$t);
$Y2 += 0.00011394908*cos(0.15831191722 + 7.3573644843*$t);
$Y2 += 0.00007053660*cos(5.44857872902 + 1066.7392946735*$t);
$Y2 += 0.00005684733*cos(2.05222271085 + 1052.51220067191*$t);
$Y2 += 0.00005262466*cos(2.69780996624 + 515.70768857651*$t);
$Y2 += 0.00003815469*cos(3.98689525353 + 1589.3167127673*$t);
$Y2 += 0.00003706857*cos(4.78859671078 + 544.1618765797*$t);
$Y2 += 0.00001449544*cos(1.07785028902 + 110.45013870291*$t);
$Y2 += 0.00001046768*cos(0.75395840567 + 426.8420083595*$t);
$Y2 += 0.00001322480*cos(0.05697677565 + 14.47091148511*$t);
$Y2 += 0.00000858857*cos(0.30653313914 + 633.0275567967*$t);
$Y2 += 0.00000887013*cos(3.09315872764 + 526.7533888404*$t);
$Y2 += 0.00000866197*cos(4.38230951425 + 533.1161763158*$t);
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$Y2 += 0.00000000786*cos(1.87783459546 + 3590.7607049255*$t);
$Y2 += 0.00000000722*cos(0.69162917181 + 1809.72935520611*$t);
$Y2 += 0.00000000731*cos(1.56640382879 + 2008.3137216755*$t);
$Y2 += 0.00000000784*cos(2.40595880647 + 1795.0146262375*$t);
$Y2 += 0.00000000655*cos(5.29949669283 + 8623.96883344369*$t);
$Y2 += 0.00000000859*cos(4.45239063404 + 459.0853372739*$t);
$Y2 += 0.00000000787*cos(3.89498804276 + 1671.06884598351*$t);
$Y2 += 0.00000000668*cos(0.46476131572 + 2545.6058687379*$t);
$Y2 += 0.00000000707*cos(0.44824026865 + 1169.34443392509*$t);
$Y2 += 0.00000000679*cos(0.69182567589 + 1588.82907780029*$t);
$Y2 += 0.00000000721*cos(0.46106254321 + 2104.2929488933*$t);
$Y2 += 0.00000000869*cos(2.05707977661 + 3576.5336109239*$t);
$Y2 += 0.00000000878*cos(5.49426984828 + 75.0254160508*$t);
$Y2 += 0.00000000883*cos(2.87549710098 + 3384.5751564883*$t);
$Y2 += 0.00000000627*cos(2.60545252272 + 405.0137323901*$t);
$Y2 += 0.00000000776*cos(2.36750552228 + 927.5911504839*$t);
$Y2 += 0.00000000751*cos(3.92531642097 + 3597.8742519263*$t);
$Y2 += 0.00000000821*cos(3.33729170182 + 3487.66793070691*$t);
$Y2 += 0.00000000603*cos(2.24262715346 + 2318.0796792983*$t);
$Y2 += 0.00000000766*cos(3.89405071692 + 1354.6769763269*$t);
$Y2 += 0.00000000679*cos(0.93833494617 + 2207.38572311189*$t);
$Y2 += 0.00000000820*cos(4.88672199584 + 6283.3196674749*$t);
$Y2 += 0.00000000638*cos(0.90714252231 + 3370.34806248671*$t);
$Y2 += 0.00000000711*cos(1.29280470587 + 1883.8803064545*$t);
$Y2 += 0.00000000666*cos(1.22953421972 + 3693.8534791441*$t);
$Y2 += 0.00000000785*cos(3.49527016473 + 3149.44778508089*$t);
$Y2 += 0.00000000566*cos(0.13027536492 + 2861.9977383945*$t);
$Y2 += 0.00000000781*cos(1.41485635870 + 3796.94625336271*$t);
$Y2 += 0.00000000719*cos(3.02988768028 + 600.7842278823*$t);
$Y2 += 0.00000000586*cos(3.97655750409 + 732.45130231059*$t);
$Y2 += 0.00000000546*cos(0.87759549299 + 437.8877086234*$t);
$Y2 += 0.00000000539*cos(3.39333684490 + 209.12312469139*$t);
$Y2 += 0.00000000659*cos(2.59360004759 + 2207.8733580789*$t);
$Y2 += 0.00000000617*cos(2.08977841036 + 2744.6778701743*$t);
$Y2 += 0.00000000617*cos(2.08977841036 + 2744.1902352073*$t);
$Y2 += 0.00000000687*cos(2.15934118066 + 209.87388421679*$t);
$Y2 += 0.00000000566*cos(4.70636247947 + 526.2657538734*$t);
$Y2 += 0.00000000640*cos(3.60830260468 + 1987.4607156401*$t);
$Y2 += 0.00000000623*cos(2.21578255427 + 3274.36883526891*$t);
$Y2 += 0.00000000623*cos(2.21578255427 + 3273.8812003019*$t);
$Y2 += 0.00000000682*cos(4.78157060479 + 2332.3067732999*$t);
$Y2 += 0.00000000719*cos(5.11346846815 + 9153.6597985383*$t);
$Y2 += 0.00000000547*cos(0.34236516611 + 2097.1794018925*$t);
$Y2 += 0.00000000705*cos(2.59491824208 + 3700.96702614491*$t);
$Y2 += 0.00000000574*cos(3.41963712247 + 430.7741616226*$t);
$Y2 += 0.00000000543*cos(0.88081760855 + 1457.2821155785*$t);
$Y2 += 0.00000000693*cos(0.33025900018 + 2001.2001746747*$t);
$Y2 += 0.00000000659*cos(2.96839974316 + 3804.0598003635*$t);
$Y2 += 0.00000000581*cos(2.15878783346 + 2111.40649589409*$t);
$Y2 += 0.00000000540*cos(6.13903070975 + 2729.96314120569*$t);
$Y2 += 0.00000000653*cos(6.09326422469 + 2626.8703669871*$t);
$Y2 += 0.00000000673*cos(3.08841787143 + 416.547067621*$t);
$Y2 += 0.00000000541*cos(0.97608919869 + 2214.4992701127*$t);
$Y2 += 0.00000000463*cos(3.71557681634 + 529.88659846831*$t);
$Y2 += 0.00000000463*cos(0.63020265214 + 529.9829666879*$t);
$Y2 += 0.00000000453*cos(5.18763231998 + 5753.6287023803*$t);
$Y2 += 0.00000000499*cos(1.74748261623 + 2421.1724535169*$t);
$Y2 += 0.00000000456*cos(3.28830064335 + 76.50988875911*$t);
$Y2 += 0.00000000587*cos(1.13660838990 + 527.4871020233*$t);
$Y2 += 0.00000000505*cos(1.06180904724 + 532.6285413488*$t);
$Y2 += 0.00000000582*cos(3.20768877862 + 532.3824631329*$t);
$Y2 += 0.00000000517*cos(0.69632241122 + 2523.7775927685*$t);
$Y2 += 0.00000000475*cos(2.88817124373 + 2531.3787747363*$t);
$Y2 += 0.00000000433*cos(0.32149741104 + 621.98185653281*$t);
$Y2 += 0.00000000530*cos(3.32159958445 + 512.5262948388*$t);
$Y2 += 0.00000000530*cos(1.01908606392 + 547.34327031741*$t);
$Y2 += 0.00000000478*cos(3.50052966452 + 1593.2488660304*$t);
$Y2 += 0.00000000423*cos(0.32742738106 + 9683.8383985999*$t);
$Y2 += 0.00000000592*cos(1.66841184917 + 2324.70559133209*$t);
$Y2 += 0.00000000410*cos(4.13116496171 + 2751.30378220809*$t);
$Y2 += 0.00000000507*cos(2.10021567641 + 1243.98302014049*$t);
$Y2 += 0.00000000521*cos(1.46001387840 + 4216.4308972379*$t);
$Y2 += 0.00000000458*cos(4.03023009406 + 629.0954035336*$t);
$Y2 += 0.00000000508*cos(3.32555628701 + 1994.5742626409*$t);
$Y2 += 0.00000000508*cos(0.18396363342 + 1994.08662767389*$t);
$Y2 += 0.00000000452*cos(4.24985614624 + 3.6883357796*$t);
$Y2 += 0.00000000527*cos(2.84159709661 + 597.60283414461*$t);
$Y2 += 0.00000000527*cos(4.64068120535 + 462.2667310116*$t);
$Y2 += 0.00000000555*cos(1.79977655362 + 3892.92548058051*$t);
$Y2 += 0.00000000464*cos(3.31404699259 + 1905.2209474569*$t);
$Y2 += 0.00000000535*cos(2.60058723927 + 2943.74987161071*$t);
$Y2 += 0.00000000535*cos(5.74217989286 + 2943.26223664369*$t);
$Y2 += 0.00000000450*cos(3.73627122155 + 3914.26612158291*$t);
$Y2 += 0.00000000390*cos(4.12428063042 + 2751.79141717511*$t);
$Y2 += 0.00000000511*cos(4.46664359519 + 643.32249753521*$t);
$Y2 += 0.00000000431*cos(0.85128279093 + 849.5080459724*$t);
$Y2 += 0.00000000464*cos(6.26761999534 + 2633.98391398789*$t);
$Y2 += 0.00000000486*cos(3.27293685238 + 2303.8525852967*$t);
$Y2 += 0.00000000412*cos(6.19787080325 + 2758.9049641759*$t);
$Y2 += 0.00000000423*cos(1.17747515264 + 1898.10740045609*$t);
$Y2 += 0.00000000457*cos(5.26603357261 + 519.15220687259*$t);
$Y2 += 0.00000000530*cos(2.82489810933 + 2221.6128171135*$t);
$Y2 += 0.00000000443*cos(5.28863656813 + 89.10949770051*$t);
$Y2 += 0.00000000478*cos(0.39094045474 + 2420.68481854989*$t);
return $Y2*$t*$t;
}
function Jupiter_Y3($t) // 190 terms of order 3
{
$Y3 = 0.00016990902*cos(4.27247332045 + 522.8212355773*$t);
$Y3 += 0.00016795793*cos(3.18563475573 + 537.0483295789*$t);
$Y3 += 0.00005535565*cos(5.40269185025 + 0.2438174835*$t);
$Y3 += 0.00001711756*cos(1.80070871020 + 1059.6257476727*$t);
$Y3 += 0.00001437893*cos(4.40672411903 + 515.70768857651*$t);
$Y3 += 0.00001080832*cos(3.83903053740 + 1066.7392946735*$t);
$Y3 += 0.00001014927*cos(3.07247314388 + 544.1618765797*$t);
$Y3 += 0.00001080320*cos(4.63909200214 + 7.3573644843*$t);
$Y3 += 0.00000700816*cos(3.91629287572 + 1052.51220067191*$t);
$Y3 += 0.00000245290*cos(2.63485195455 + 1589.3167127673*$t);
$Y3 += 0.00000301422*cos(4.61795245261 + 14.47091148511*$t);
$Y3 += 0.00000233420*cos(0.22403594785 + 529.9347825781*$t);
$Y3 += 0.00000141715*cos(4.79041763529 + 529.44714761109*$t);
$Y3 += 0.00000134439*cos(3.36367709264 + 1045.3986536711*$t);
$Y3 += 0.00000078118*cos(4.43004262792 + 1596.43025976811*$t);
$Y3 += 0.00000076833*cos(5.59776741855 + 117.5636857037*$t);
$Y3 += 0.00000092926*cos(4.40350030513 + 323.74923414091*$t);
$Y3 += 0.00000078223*cos(5.40096869297 + 110.45013870291*$t);
$Y3 += 0.00000065879*cos(1.48772085888 + 109.9625037359*$t);
$Y3 += 0.00000058147*cos(4.57249620850 + 508.5941415757*$t);
$Y3 += 0.00000051718*cos(2.58980208142 + 95.7354097343*$t);
$Y3 += 0.00000058000*cos(5.16608137630 + 426.8420083595*$t);
$Y3 += 0.00000047055*cos(3.57438012615 + 1073.85284167431*$t);
$Y3 += 0.00000041297*cos(2.04634997990 + 633.0275567967*$t);
$Y3 += 0.00000056002*cos(3.01090434125 + 736.1203310153*$t);
$Y3 += 0.00000040590*cos(1.87109726412 + 942.3058794525*$t);
$Y3 += 0.00000036838*cos(3.19435792826 + 625.9140097959*$t);
$Y3 += 0.00000032307*cos(2.88952809764 + 551.27542358051*$t);
$Y3 += 0.00000038649*cos(4.33064739716 + 330.8627811417*$t);
$Y3 += 0.00000031637*cos(4.00200479143 + 1582.2031657665*$t);
$Y3 += 0.00000032315*cos(3.88623349757 + 433.9555553603*$t);
$Y3 += 0.00000037135*cos(0.48127765061 + 103.3365917021*$t);
$Y3 += 0.00000027869*cos(3.45656961616 + 220.6564599223*$t);
$Y3 += 0.00000027130*cos(3.15454297418 + 2119.00767786191*$t);
$Y3 += 0.00000027831*cos(1.90579303958 + 949.4194264533*$t);
$Y3 += 0.00000026529*cos(2.71723722320 + 1169.83206889211*$t);
$Y3 += 0.00000026303*cos(4.38890518124 + 419.72846135871*$t);
$Y3 += 0.00000027724*cos(0.30357549024 + 6.86972951729*$t);
$Y3 += 0.00000028942*cos(3.12933706476 + 729.0067840145*$t);
$Y3 += 0.00000024801*cos(3.55551242105 + 198.82818395289*$t);
$Y3 += 0.00000022666*cos(3.71310041528 + 1155.6049748905*$t);
$Y3 += 0.00000022463*cos(0.48577882565 + 956.53297345411*$t);
$Y3 += 0.00000024855*cos(5.09800784432 + 519.63984183961*$t);
$Y3 += 0.00000017587*cos(4.51976917752 + 21.5844584859*$t);
$Y3 += 0.00000020511*cos(2.33822898286 + 540.2297233166*$t);
$Y3 += 0.00000017573*cos(3.85855374859 + 205.9417309537*$t);
$Y3 += 0.00000019314*cos(2.63415930465 + 640.1411037975*$t);
$Y3 += 0.00000013850*cos(5.76603142366 + 853.4401992355*$t);
$Y3 += 0.00000013374*cos(3.35682573162 + 227.77000692311*$t);
$Y3 += 0.00000012226*cos(4.58700933844 + 522.3336006103*$t);
$Y3 += 0.00000011511*cos(2.47604533623 + 441.06910236111*$t);
$Y3 += 0.00000011785*cos(4.54328580165 + 412.6149143579*$t);
$Y3 += 0.00000009912*cos(1.34647813433 + 206.42936592071*$t);
$Y3 += 0.00000009439*cos(4.79528119891 + 618.8004627951*$t);
$Y3 += 0.00000009398*cos(3.27167007870 + 1038.2851066703*$t);
$Y3 += 0.00000009377*cos(4.03210310088 + 839.2131052339*$t);
$Y3 += 0.00000009606*cos(1.29930255542 + 426.3543733925*$t);
$Y3 += 0.00000011272*cos(4.51307032502 + 309.0345051723*$t);
$Y3 += 0.00000008495*cos(0.16101118987 + 536.5606946119*$t);
$Y3 += 0.00000007775*cos(5.49067289304 + 316.6356871401*$t);
$Y3 += 0.00000007402*cos(2.44949859869 + 412.12727939089*$t);
$Y3 += 0.00000009022*cos(3.47982253523 + 1575.08961876571*$t);
$Y3 += 0.00000007220*cos(4.54159743611 + 1258.6977491091*$t);
$Y3 += 0.00000006726*cos(4.13659559768 + 832.0995582331*$t);
$Y3 += 0.00000006944*cos(5.51093137903 + 309.5221401393*$t);
$Y3 += 0.00000007778*cos(4.49951291514 + 301.9209581715*$t);
$Y3 += 0.00000007986*cos(2.40170822369 + 213.0552779545*$t);
$Y3 += 0.00000005933*cos(4.95948042350 + 2126.1212248627*$t);
$Y3 += 0.00000005844*cos(1.73926665310 + 743.23387801611*$t);
$Y3 += 0.00000005965*cos(3.67342955411 + 515.2200536095*$t);
$Y3 += 0.00000004458*cos(5.51442841213 + 1059.1381127057*$t);
$Y3 += 0.00000003905*cos(4.27184704039 + 1265.81129610991*$t);
$Y3 += 0.00000004118*cos(5.46755234125 + 124.6772327045*$t);
$Y3 += 0.00000003669*cos(1.84391323522 + 1486.2239385487*$t);
$Y3 += 0.00000003534*cos(4.38721038089 + 625.42637482889*$t);
$Y3 += 0.00000003134*cos(3.36420319845 + 1699.5230339867*$t);
$Y3 += 0.00000002973*cos(1.04471011524 + 742.74624304909*$t);
$Y3 += 0.00000002686*cos(5.78683992698 + 88.6218627335*$t);
$Y3 += 0.00000003079*cos(1.99582195262 + 935.19233245171*$t);
$Y3 += 0.00000002579*cos(3.95429921370 + 1062.80714141041*$t);
$Y3 += 0.00000002378*cos(3.65318849817 + 2648.6986429565*$t);
$Y3 += 0.00000002346*cos(2.14951839318 + 728.5191490475*$t);
$Y3 += 0.00000003011*cos(2.56665773426 + 647.25465079831*$t);
$Y3 += 0.00000002322*cos(4.05450701004 + 1603.5438067689*$t);
$Y3 += 0.00000002809*cos(3.52093842683 + 1272.9248431107*$t);
$Y3 += 0.00000002701*cos(2.72157216334 + 1471.9968445471*$t);
$Y3 += 0.00000002369*cos(3.30637620547 + 721.8932370137*$t);
$Y3 += 0.00000002359*cos(4.17347791131 + 337.9763281425*$t);
$Y3 += 0.00000002423*cos(4.28527398429 + 618.3128278281*$t);
$Y3 += 0.00000002070*cos(3.05132274908 + 831.6119232661*$t);
$Y3 += 0.00000001958*cos(3.88095030867 + 526.7533888404*$t);
$Y3 += 0.00000001935*cos(0.44518939738 + 533.1161763158*$t);
$Y3 += 0.00000002297*cos(5.54175410580 + 1368.9040703285*$t);
$Y3 += 0.00000002015*cos(3.68637600590 + 191.7146369521*$t);
$Y3 += 0.00000002184*cos(4.06594004577 + 963.6465204549*$t);
$Y3 += 0.00000001685*cos(4.73740509993 + 1685.2959399851*$t);
$Y3 += 0.00000001816*cos(1.96798308062 + 1162.7185218913*$t);
$Y3 += 0.00000001733*cos(2.70077445297 + 750.3474250169*$t);
$Y3 += 0.00000001699*cos(4.10560078356 + 1055.6935944096*$t);
$Y3 += 0.00000001717*cos(2.19034610706 + 448.1826493619*$t);
$Y3 += 0.00000001811*cos(4.93807061086 + 860.55374623631*$t);
$Y3 += 0.00000001432*cos(6.00290182284 + 81.50831573269*$t);
$Y3 += 0.00000001779*cos(2.60448403761 + 1056.444353935*$t);
$Y3 += 0.00000001397*cos(5.29190720613 + 611.6869157943*$t);
$Y3 += 0.00000001563*cos(3.56303703117 + 838.72547026689*$t);
$Y3 += 0.00000001726*cos(5.58280644952 + 1361.79052332771*$t);
$Y3 += 0.00000001152*cos(0.12950397768 + 1383.13116433011*$t);
$Y3 += 0.00000001200*cos(3.69239539182 + 632.5399218297*$t);
$Y3 += 0.00000001145*cos(5.43151272872 + 405.5013673571*$t);
$Y3 += 0.00000001078*cos(2.03239323412 + 1479.11039154791*$t);
$Y3 += 0.00000001223*cos(6.16550077809 + 21.0968235189*$t);
$Y3 += 0.00000001051*cos(1.31296703432 + 526.00262931501*$t);
$Y3 += 0.00000001414*cos(3.85675901673 + 941.8182444855*$t);
$Y3 += 0.00000001030*cos(3.03819438792 + 533.8669358412*$t);
$Y3 += 0.00000001211*cos(2.84309753774 + 1069.92068841121*$t);
$Y3 += 0.00000001240*cos(3.92862477221 + 934.70469748469*$t);
$Y3 += 0.00000000944*cos(1.86321874038 + 1044.9110187041*$t);
$Y3 += 0.00000001091*cos(4.10316988679 + 2111.8941308611*$t);
$Y3 += 0.00000000986*cos(5.14322625016 + 2097.1794018925*$t);
$Y3 += 0.00000000967*cos(5.28600031012 + 1588.82907780029*$t);
$Y3 += 0.00000000939*cos(2.81112974414 + 13.9832765181*$t);
$Y3 += 0.00000000870*cos(5.07245340162 + 639.6534688305*$t);
$Y3 += 0.00000001013*cos(5.44748312429 + 1049.3308069342*$t);
$Y3 += 0.00000000989*cos(2.86838275982 + 1148.00379292269*$t);
$Y3 += 0.00000001043*cos(2.98280277812 + 1080.9663886751*$t);
$Y3 += 0.00000000824*cos(4.17606860247 + 433.46792039329*$t);
$Y3 += 0.00000001002*cos(4.01347037981 + 1788.38871420371*$t);
$Y3 += 0.00000000823*cos(2.03930536894 + 654.3681977991*$t);
$Y3 += 0.00000000801*cos(0.27042298823 + 1375.52998236229*$t);
$Y3 += 0.00000000890*cos(4.65790311289 + 294.80741117069*$t);
$Y3 += 0.00000000763*cos(3.00898516277 + 2421.1724535169*$t);
$Y3 += 0.00000000793*cos(2.96629034382 + 234.8835539239*$t);
$Y3 += 0.00000000752*cos(4.56374445756 + 1251.5842021083*$t);
$Y3 += 0.00000000788*cos(5.54399109100 + 302.40859313851*$t);
$Y3 += 0.00000000719*cos(3.28492821269 + 1787.9010792367*$t);
$Y3 += 0.00000000760*cos(3.49538730713 + 2104.7805838603*$t);
$Y3 += 0.00000000839*cos(4.84381227007 + 1898.5950354231*$t);
$Y3 += 0.00000000962*cos(4.80560510645 + 2318.0796792983*$t);
$Y3 += 0.00000000832*cos(4.85895718536 + 2001.68780964171*$t);
$Y3 += 0.00000000930*cos(0.44313687441 + 96.2230447013*$t);
$Y3 += 0.00000000879*cos(1.78320792762 + 845.8390172677*$t);
$Y3 += 0.00000000780*cos(1.22419144371 + 611.1992808273*$t);
$Y3 += 0.00000000900*cos(4.69837586769 + 1162.23088692429*$t);
$Y3 += 0.00000000759*cos(3.21123137459 + 2008.3137216755*$t);
$Y3 += 0.00000000715*cos(2.43949501289 + 1464.3956625793*$t);
$Y3 += 0.00000000780*cos(4.52983365743 + 2214.98690507971*$t);
$Y3 += 0.00000000679*cos(1.69767989980 + 2435.3995475185*$t);
$Y3 += 0.00000000809*cos(5.12961307681 + 1994.5742626409*$t);
$Y3 += 0.00000000772*cos(5.46156636423 + 220.16882495529*$t);
$Y3 += 0.00000000622*cos(2.00213930026 + 316.14805217309*$t);
$Y3 += 0.00000000612*cos(0.83227002431 + 749.8597900499*$t);
$Y3 += 0.00000000612*cos(1.13237645481 + 117.0760507367*$t);
$Y3 += 0.00000000713*cos(6.02221537369 + 1140.8902459219*$t);
$Y3 += 0.00000000626*cos(1.12243212464 + 1692.40948698591*$t);
$Y3 += 0.00000000676*cos(3.49335420549 + 2840.6570973921*$t);
$Y3 += 0.00000000594*cos(1.37315363305 + 102.84895673509*$t);
$Y3 += 0.00000000790*cos(3.53118420318 + 1251.0965671413*$t);
$Y3 += 0.00000000756*cos(4.64193430086 + 1148.49142788971*$t);
$Y3 += 0.00000000568*cos(0.84481707130 + 1141.3778808889*$t);
$Y3 += 0.00000000616*cos(3.74926817789 + 2524.2652277355*$t);
$Y3 += 0.00000000560*cos(2.89131917550 + 2104.2929488933*$t);
$Y3 += 0.00000000686*cos(4.59806378353 + 2627.3580019541*$t);
$Y3 += 0.00000000720*cos(3.64327792020 + 1258.21011414209*$t);
$Y3 += 0.00000000733*cos(6.11931006119 + 1884.36794142151*$t);
$Y3 += 0.00000000583*cos(1.49952942471 + 2751.79141717511*$t);
$Y3 += 0.00000000546*cos(5.87603590490 + 543.6742416127*$t);
$Y3 += 0.00000000530*cos(0.65117889899 + 1066.2516597065*$t);
$Y3 += 0.00000000581*cos(2.31120308329 + 1780.78753223589*$t);
$Y3 += 0.00000000523*cos(3.92602863833 + 1471.50920958009*$t);
$Y3 += 0.00000000508*cos(3.10717560112 + 508.10650660869*$t);
$Y3 += 0.00000000645*cos(3.47859687529 + 2015.9149036433*$t);
$Y3 += 0.00000000553*cos(5.34237729322 + 852.9525642685*$t);
$Y3 += 0.00000000480*cos(3.05830758640 + 1677.6947580173*$t);
$Y3 += 0.00000000480*cos(6.19990023999 + 1678.1823929843*$t);
$Y3 += 0.00000000618*cos(3.01489314196 + 1905.70858242391*$t);
$Y3 += 0.00000000463*cos(1.12266408736 + 89.10949770051*$t);
$Y3 += 0.00000000512*cos(3.49738396142 + 1155.1173399235*$t);
$Y3 += 0.00000000497*cos(3.67029546589 + 1376.0176173293*$t);
$Y3 += 0.00000000529*cos(2.41566570980 + 1802.6158082053*$t);
$Y3 += 0.00000000617*cos(4.55541673250 + 2634.47154895491*$t);
$Y3 += 0.00000000459*cos(5.95987834679 + 1691.9218520189*$t);
$Y3 += 0.00000000503*cos(0.43655200011 + 948.9317914863*$t);
$Y3 += 0.00000000547*cos(4.87653833894 + 2310.9661322975*$t);
$Y3 += 0.00000000432*cos(3.81824814417 + 1567.48843679789*$t);
$Y3 += 0.00000000432*cos(3.81824814417 + 1567.9760717649*$t);
$Y3 += 0.00000000419*cos(1.75904856409 + 1361.3028883607*$t);
$Y3 += 0.00000000415*cos(5.93908536808 + 558.3889705813*$t);
$Y3 += 0.00000000415*cos(4.68478558747 + 501.4805945749*$t);
$Y3 += 0.00000000413*cos(0.31276763851 + 1883.8803064545*$t);
$Y3 += 0.00000000436*cos(3.11437440839 + 1464.8832975463*$t);
return $Y3*$t*$t*$t;
}
function Jupiter_Y4($t) // 73 terms of order 4
{
$Y4 = 0.00001739145*cos(1.42580386197 + 537.0483295789*$t);
$Y4 += 0.00001740807*cos(6.00432821679 + 522.8212355773*$t);
$Y4 += 0.00000593812*cos(3.67074805419 + 529.9347825781*$t);
$Y4 += 0.00000303714*cos(6.13319798890 + 515.70768857651*$t);
$Y4 += 0.00000216971*cos(1.33336714102 + 544.1618765797*$t);
$Y4 += 0.00000201301*cos(0.66067734911 + 0.2438174835*$t);
$Y4 += 0.00000128314*cos(2.22919023790 + 1066.7392946735*$t);
$Y4 += 0.00000084519*cos(2.80934114497 + 7.3573644843*$t);
$Y4 += 0.00000066713*cos(5.73808767639 + 1052.51220067191*$t);
$Y4 += 0.00000050914*cos(2.88970415030 + 14.47091148511*$t);
$Y4 += 0.00000056189*cos(5.95539409574 + 1059.6257476727*$t);
$Y4 += 0.00000023551*cos(5.17496754986 + 1045.3986536711*$t);
$Y4 += 0.00000014975*cos(0.07336624009 + 508.5941415757*$t);
$Y4 += 0.00000012320*cos(1.18823443350 + 1589.3167127673*$t);
$Y4 += 0.00000010412*cos(1.88156810845 + 1073.85284167431*$t);
$Y4 += 0.00000010436*cos(2.90285964648 + 1596.43025976811*$t);
$Y4 += 0.00000010171*cos(3.86119874481 + 117.5636857037*$t);
$Y4 += 0.00000007028*cos(6.10496958528 + 109.9625037359*$t);
$Y4 += 0.00000007310*cos(1.00125130523 + 551.27542358051*$t);
$Y4 += 0.00000005867*cos(4.33407208985 + 95.7354097343*$t);
$Y4 += 0.00000005482*cos(2.53643730082 + 323.74923414091*$t);
$Y4 += 0.00000005308*cos(2.60414218500 + 330.8627811417*$t);
$Y4 += 0.00000005155*cos(3.58060509730 + 942.3058794525*$t);
$Y4 += 0.00000004404*cos(4.83926930457 + 729.0067840145*$t);
$Y4 += 0.00000003429*cos(4.99509335363 + 625.9140097959*$t);
$Y4 += 0.00000003596*cos(3.33581032804 + 110.45013870291*$t);
$Y4 += 0.00000003379*cos(5.25427709084 + 198.82818395289*$t);
$Y4 += 0.00000002870*cos(2.96757411587 + 529.44714761109*$t);
$Y4 += 0.00000003465*cos(4.76476994232 + 736.1203310153*$t);
$Y4 += 0.00000002781*cos(5.80054865786 + 1582.2031657665*$t);
$Y4 += 0.00000002710*cos(0.81919347445 + 441.06910236111*$t);
$Y4 += 0.00000002621*cos(0.96453577508 + 1169.83206889211*$t);
$Y4 += 0.00000002851*cos(2.20827145709 + 103.3365917021*$t);
$Y4 += 0.00000003222*cos(1.76964083344 + 433.9555553603*$t);
$Y4 += 0.00000002252*cos(5.47979006595 + 1155.6049748905*$t);
$Y4 += 0.00000002643*cos(3.09107587932 + 426.8420083595*$t);
$Y4 += 0.00000002565*cos(1.36437340248 + 6.86972951729*$t);
$Y4 += 0.00000002154*cos(0.36845643020 + 618.8004627951*$t);
$Y4 += 0.00000002044*cos(6.19291733804 + 419.72846135871*$t);
$Y4 += 0.00000001513*cos(1.60661037744 + 220.6564599223*$t);
$Y4 += 0.00000001619*cos(3.76198603224 + 633.0275567967*$t);
$Y4 += 0.00000001503*cos(1.66604601675 + 2119.00767786191*$t);
$Y4 += 0.00000001422*cos(1.64339956175 + 227.77000692311*$t);
$Y4 += 0.00000001448*cos(5.34787531868 + 1575.08961876571*$t);
$Y4 += 0.00000001354*cos(5.08770092894 + 956.53297345411*$t);
$Y4 += 0.00000001398*cos(6.23305755326 + 301.9209581715*$t);
$Y4 += 0.00000001551*cos(0.94639398642 + 640.1411037975*$t);
$Y4 += 0.00000001193*cos(4.12010673320 + 853.4401992355*$t);
$Y4 += 0.00000001228*cos(4.89609039918 + 536.5606946119*$t);
$Y4 += 0.00000001153*cos(5.81136535588 + 426.3543733925*$t);
$Y4 += 0.00000001111*cos(0.25913441118 + 309.5221401393*$t);
$Y4 += 0.00000001322*cos(6.23999851102 + 412.6149143579*$t);
$Y4 += 0.00000001137*cos(0.06266558324 + 1258.6977491091*$t);
$Y4 += 0.00000000987*cos(0.30137359463 + 522.3336006103*$t);
$Y4 += 0.00000000937*cos(2.83311778330 + 618.3128278281*$t);
$Y4 += 0.00000000830*cos(4.12976646136 + 412.12727939089*$t);
$Y4 += 0.00000000868*cos(5.39178303584 + 1038.2851066703*$t);
$Y4 += 0.00000000819*cos(2.43009257653 + 742.74624304909*$t);
$Y4 += 0.00000000952*cos(1.65716723019 + 831.6119232661*$t);
$Y4 += 0.00000000903*cos(3.71462655064 + 949.4194264533*$t);
$Y4 += 0.00000000740*cos(5.82657968137 + 832.0995582331*$t);
$Y4 += 0.00000000726*cos(5.81781448666 + 839.2131052339*$t);
$Y4 += 0.00000000890*cos(1.13102640201 + 647.25465079831*$t);
$Y4 += 0.00000000672*cos(5.39661133415 + 102.84895673509*$t);
$Y4 += 0.00000000598*cos(2.46149662725 + 337.9763281425*$t);
$Y4 += 0.00000000711*cos(5.36999317897 + 515.2200536095*$t);
$Y4 += 0.00000000557*cos(0.72441048007 + 1486.2239385487*$t);
$Y4 += 0.00000000506*cos(3.86590138433 + 1059.1381127057*$t);
$Y4 += 0.00000000464*cos(2.90086100642 + 117.0760507367*$t);
$Y4 += 0.00000000479*cos(4.66931827522 + 526.7533888404*$t);
$Y4 += 0.00000000451*cos(5.32820518820 + 1471.9968445471*$t);
$Y4 += 0.00000000466*cos(5.95847666696 + 533.1161763158*$t);
$Y4 += 0.00000000396*cos(2.33304510363 + 1603.5438067689*$t);
return $Y4*$t*$t*$t*$t;
}
function Jupiter_Y5($t) // 15 terms of order 5
{
$Y5 = 0.00000131509*cos(5.80959663173 + 537.0483295789*$t);
$Y5 += 0.00000126839*cos(1.57486395680 + 522.8212355773*$t);
$Y5 += 0.00000048033*cos(1.61168112243 + 515.70768857651*$t);
$Y5 += 0.00000034241*cos(5.82558762592 + 544.1618765797*$t);
$Y5 += 0.00000011284*cos(0.56803103740 + 1066.7392946735*$t);
$Y5 += 0.00000005229*cos(0.87528666787 + 0.2438174835*$t);
$Y5 += 0.00000003712*cos(1.71517319353 + 1052.51220067191*$t);
$Y5 += 0.00000004457*cos(3.71675991204 + 529.9347825781*$t);
$Y5 += 0.00000001949*cos(0.16900749445 + 1073.85284167431*$t);
$Y5 += 0.00000001738*cos(3.42162831595 + 1059.6257476727*$t);
$Y5 += 0.00000001716*cos(1.48767323100 + 1045.3986536711*$t);
$Y5 += 0.00000000879*cos(1.64959635605 + 508.5941415757*$t);
$Y5 += 0.00000000886*cos(2.65648931803 + 551.27542358051*$t);
$Y5 += 0.00000000665*cos(0.00022824942 + 7.3573644843*$t);
$Y5 += 0.00000000466*cos(1.28798211401 + 1596.43025976811*$t);
return $Y5*$t*$t*$t*$t*$t;
}
function Jupiter_Z0($t) // 216 terms of order 0
{
$Z0 = 0.11823100489*cos(3.55844646343 + 529.6909650946*$t);
$Z0 += 0.00859031952;
$Z0 += 0.00286562094*cos(3.90812238338 + 1059.3819301892*$t);
$Z0 += 0.00042388592*cos(3.60144191032 + 522.5774180938*$t);
$Z0 += 0.00033295491*cos(0.30297050585 + 536.8045120954*$t);
$Z0 += 0.00010416160*cos(4.25764593061 + 1589.0728952838*$t);
$Z0 += 0.00007449294*cos(5.24213104150 + 103.0927742186*$t);
$Z0 += 0.00006910102*cos(1.75032945752 + 7.1135470008*$t);
$Z0 += 0.00005292012*cos(1.68231447192 + 426.598190876*$t);
$Z0 += 0.00004313598*cos(3.70673689841 + 213.299095438*$t);
$Z0 += 0.00003784265*cos(2.71522544491 + 110.2063212194*$t);
$Z0 += 0.00003798016*cos(2.16715743175 + 632.7837393132*$t);
$Z0 += 0.00002455385*cos(2.96904135659 + 1052.2683831884*$t);
$Z0 += 0.00002461547*cos(2.99889460411 + 1162.4747044078*$t);
$Z0 += 0.00002001451*cos(2.68535838309 + 419.4846438752*$t);
$Z0 += 0.00002163471*cos(6.26718259854 + 846.0828347512*$t);
$Z0 += 0.00001633653*cos(0.64194743493 + 1066.49547719*$t);
$Z0 += 0.00001450672*cos(1.17108416193 + 949.1756089698*$t);
$Z0 += 0.00000693095*cos(5.14278041161 + 316.3918696566*$t);
$Z0 += 0.00000715042*cos(1.41211197820 + 323.5054166574*$t);
$Z0 += 0.00000549720*cos(4.84164274378 + 742.9900605326*$t);
$Z0 += 0.00000447831*cos(4.60746588621 + 2118.7638603784*$t);
$Z0 += 0.00000543619*cos(3.69636561822 + 515.463871093*$t);
$Z0 += 0.00000483852*cos(4.71796110160 + 735.8765135318*$t);
$Z0 += 0.00000365100*cos(6.06065925437 + 206.1855484372*$t);
$Z0 += 0.00000288980*cos(0.40266293090 + 525.7588118315*$t);
$Z0 += 0.00000254938*cos(0.17978560944 + 543.9180590962*$t);
$Z0 += 0.00000195137*cos(3.35374802237 + 1692.1656695024*$t);
$Z0 += 0.00000253254*cos(3.57485315487 + 533.6231183577*$t);
$Z0 += 0.00000196691*cos(2.65526923569 + 956.2891559706*$t);
$Z0 += 0.00000154379*cos(1.47050669470 + 625.6701923124*$t);
$Z0 += 0.00000145972*cos(5.96112903396 + 838.9692877504*$t);
$Z0 += 0.00000162371*cos(3.12160596807 + 1581.959348283*$t);
$Z0 += 0.00000135954*cos(2.23721600610 + 1478.8665740644*$t);
$Z0 += 0.00000135376*cos(4.03180075278 + 1265.5674786264*$t);
$Z0 += 0.00000118734*cos(6.19132554294 + 532.8723588323*$t);
$Z0 += 0.00000121147*cos(4.06252466827 + 526.5095713569*$t);
$Z0 += 0.00000113963*cos(0.34443034869 + 1375.7737998458*$t);
$Z0 += 0.00000133095*cos(1.61283648080 + 14.2270940016*$t);
$Z0 += 0.00000089416*cos(0.98707919437 + 1596.1864422846*$t);
$Z0 += 0.00000091948*cos(5.29521569721 + 95.9792272178*$t);
$Z0 += 0.00000071808*cos(2.60370257221 + 117.3198682202*$t);
$Z0 += 0.00000063527*cos(0.97603653343 + 433.7117378768*$t);
$Z0 += 0.00000064121*cos(4.63524391670 + 1368.660252845*$t);
$Z0 += 0.00000059116*cos(0.42038566170 + 220.4126424388*$t);
$Z0 += 0.00000060054*cos(1.05875226211 + 942.062061969*$t);
$Z0 += 0.00000054868*cos(6.14868344705 + 1169.5882514086*$t);
$Z0 += 0.00000047058*cos(2.39069042869 + 853.196381752*$t);
$Z0 += 0.00000056617*cos(5.78644786940 + 639.897286314*$t);
$Z0 += 0.00000041028*cos(5.07649815801 + 309.2783226558*$t);
$Z0 += 0.00000054980*cos(2.72414041857 + 1045.1548361876*$t);
$Z0 += 0.00000039937*cos(2.63014962920 + 380.12776796*$t);
$Z0 += 0.00000034887*cos(3.06644858707 + 412.3710968744*$t);
$Z0 += 0.00000033112*cos(2.21084011524 + 74.7815985673*$t);
$Z0 += 0.00000024753*cos(4.09311535367 + 527.2432845398*$t);
$Z0 += 0.00000021473*cos(5.68324848411 + 1272.6810256272*$t);
$Z0 += 0.00000021259*cos(4.15648418623 + 1685.0521225016*$t);
$Z0 += 0.00000021214*cos(4.95749714252 + 2648.454825473*$t);
$Z0 += 0.00000019531*cos(3.58685387193 + 529.7391492044*$t);
$Z0 += 0.00000024578*cos(6.16442414965 + 532.1386456494*$t);
$Z0 += 0.00000021217*cos(4.46071227915 + 1155.361157407*$t);
$Z0 += 0.00000021279*cos(3.98105217713 + 1795.258443721*$t);
$Z0 += 0.00000019533*cos(0.38904271302 + 529.6427809848*$t);
$Z0 += 0.00000019570*cos(4.37171598624 + 149.5631971346*$t);
$Z0 += 0.00000019447*cos(1.27663598466 + 330.6189636582*$t);
$Z0 += 0.00000015440*cos(0.72260027140 + 530.6541729411*$t);
$Z0 += 0.00000014562*cos(5.50135998822 + 1471.7530270636*$t);
$Z0 += 0.00000017624*cos(1.31667827871 + 3.9321532631*$t);
$Z0 += 0.00000013309*cos(2.77897533854 + 2008.557539159*$t);
$Z0 += 0.00000013206*cos(3.64976502017 + 2221.856634597*$t);
$Z0 += 0.00000013142*cos(0.72687086889 + 1055.4497769261*$t);
$Z0 += 0.00000015413*cos(4.31958059396 + 1063.3140834523*$t);
$Z0 += 0.00000014193*cos(3.67387943991 + 2111.6503133776*$t);
$Z0 += 0.00000012996*cos(1.31000927869 + 453.424893819*$t);
$Z0 += 0.00000011738*cos(6.14331082365 + 199.0720014364*$t);
$Z0 += 0.00000015482*cos(3.25291782438 + 528.7277572481*$t);
$Z0 += 0.00000010389*cos(0.51378228980 + 1073.6090241908*$t);
$Z0 += 0.00000012990*cos(1.87234255615 + 984.6003316219*$t);
$Z0 += 0.00000012280*cos(1.99030236725 + 38.1330356378*$t);
$Z0 += 0.00000010473*cos(0.26689008608 + 10213.285546211*$t);
$Z0 += 0.00000008875*cos(0.13793367408 + 305.3461693927*$t);
$Z0 += 0.00000007692*cos(5.08407965373 + 1788.1448967202*$t);
$Z0 += 0.00000007861*cos(3.79832245754 + 76.2660712756*$t);
$Z0 += 0.00000008714*cos(1.58825029218 + 3.1813937377*$t);
$Z0 += 0.00000007143*cos(4.01912438773 + 2001.4439921582*$t);
$Z0 += 0.00000006752*cos(5.50960892986 + 1898.3512179396*$t);
$Z0 += 0.00000007441*cos(1.30439352743 + 618.5566453116*$t);
$Z0 += 0.00000006896*cos(1.74025919863 + 529.1697002328*$t);
$Z0 += 0.00000007365*cos(3.26347830221 + 1485.9801210652*$t);
$Z0 += 0.00000006518*cos(0.90320354569 + 1905.4647649404*$t);
$Z0 += 0.00000008347*cos(5.96531853825 + 909.8187330546*$t);
$Z0 += 0.00000007728*cos(4.61604781975 + 728.762966531*$t);
$Z0 += 0.00000006887*cos(2.23549334986 + 530.2122299564*$t);
$Z0 += 0.00000005783*cos(6.02338915633 + 831.8557407496*$t);
$Z0 += 0.00000005788*cos(0.26042181508 + 1062.5633239269*$t);
$Z0 += 0.00000005581*cos(6.17489228666 + 1258.4539316256*$t);
$Z0 += 0.00000005154*cos(1.33592252764 + 2125.8774073792*$t);
$Z0 += 0.00000004916*cos(0.18728472832 + 1699.2792165032*$t);
$Z0 += 0.00000005480*cos(3.12818768952 + 604.4725636619*$t);
$Z0 += 0.00000004967*cos(3.92882210242 + 508.3503240922*$t);
$Z0 += 0.00000004994*cos(0.03902921434 + 1439.5096981492*$t);
$Z0 += 0.00000005269*cos(4.06576160798 + 1056.2005364515*$t);
$Z0 += 0.00000004711*cos(0.87975326503 + 490.3340891794*$t);
$Z0 += 0.00000004221*cos(2.57304081485 + 99.1606209555*$t);
$Z0 += 0.00000004005*cos(2.96062737592 + 526.7702037878*$t);
$Z0 += 0.00000003959*cos(1.38163787157 + 532.6117264014*$t);
$Z0 += 0.00000004844*cos(1.47818569722 + 454.9093665273*$t);
$Z0 += 0.00000003683*cos(0.33555577415 + 528.9402055692*$t);
$Z0 += 0.00000003681*cos(4.00539820601 + 530.44172462*$t);
$Z0 += 0.00000003623*cos(0.28674357330 + 227.5261894396*$t);
$Z0 += 0.00000004295*cos(3.45202038167 + 569.0478410098*$t);
$Z0 += 0.00000003458*cos(4.40401766789 + 519.3960243561*$t);
$Z0 += 0.00000003435*cos(5.34191505443 + 11.0457002639*$t);
$Z0 += 0.00000003355*cos(4.80063248866 + 2104.5367663768*$t);
$Z0 += 0.00000003535*cos(1.18645749024 + 525.4981794006*$t);
$Z0 += 0.00000003477*cos(3.15607509055 + 533.8837507886*$t);
$Z0 += 0.00000003219*cos(5.37130793285 + 2214.7430875962*$t);
$Z0 += 0.00000004358*cos(2.16300555603 + 1021.2488945514*$t);
$Z0 += 0.00000003334*cos(0.38640772450 + 224.3447957019*$t);
$Z0 += 0.00000002697*cos(6.22459411775 + 539.9859058331*$t);
$Z0 += 0.00000003143*cos(0.15836271478 + 750.1036075334*$t);
$Z0 += 0.00000002649*cos(3.80434469443 + 2317.8358618148*$t);
$Z0 += 0.00000002856*cos(0.29274516197 + 983.1158589136*$t);
$Z0 += 0.00000003424*cos(5.16456871383 + 1.4844727083*$t);
$Z0 += 0.00000002725*cos(0.64710955846 + 524.0618908021*$t);
$Z0 += 0.00000002623*cos(0.25280896703 + 551.031606097*$t);
$Z0 += 0.00000002685*cos(3.69478866795 + 535.3200393871*$t);
$Z0 += 0.00000002939*cos(0.64629595693 + 540.7366653585*$t);
$Z0 += 0.00000002398*cos(4.36615854926 + 2428.0421830342*$t);
$Z0 += 0.00000002597*cos(1.15824869762 + 963.4027029714*$t);
$Z0 += 0.00000002769*cos(0.20040217534 + 525.0250986486*$t);
$Z0 += 0.00000002336*cos(3.71676131146 + 529.851023789*$t);
$Z0 += 0.00000002336*cos(0.62392433691 + 529.5309064002*$t);
$Z0 += 0.00000002491*cos(2.84297287947 + 1382.8873468466*$t);
$Z0 += 0.00000002598*cos(4.13924061941 + 534.3568315406*$t);
$Z0 += 0.00000002747*cos(1.76471074936 + 524.2743391232*$t);
$Z0 += 0.00000002475*cos(0.99313692673 + 934.9485149682*$t);
$Z0 += 0.00000002704*cos(2.57406093768 + 535.107591066*$t);
$Z0 += 0.00000002302*cos(5.84295144929 + 1148.2476104062*$t);
$Z0 += 0.00000002068*cos(5.96196623799 + 440.8252848776*$t);
$Z0 += 0.00000002012*cos(4.95946680265 + 1361.5467058442*$t);
$Z0 += 0.00000001987*cos(0.18375525793 + 1802.3719907218*$t);
$Z0 += 0.00000001934*cos(2.82066156035 + 835.0371344873*$t);
$Z0 += 0.00000002147*cos(5.96724060411 + 1891.2376709388*$t);
$Z0 += 0.00000001940*cos(3.63687343812 + 2324.9494088156*$t);
$Z0 += 0.00000001763*cos(2.57382733259 + 415.5524906121*$t);
$Z0 += 0.00000001860*cos(5.24230405559 + 2531.1349572528*$t);
$Z0 += 0.00000001707*cos(5.38883058569 + 302.164775655*$t);
$Z0 += 0.00000002152*cos(1.74557444220 + 21.3406410024*$t);
$Z0 += 0.00000001613*cos(3.45966511571 + 529.4785167735*$t);
$Z0 += 0.00000001613*cos(0.88102053266 + 529.9034134157*$t);
$Z0 += 0.00000002134*cos(2.79657990895 + 35.4247226521*$t);
$Z0 += 0.00000001593*cos(1.37312370449 + 1574.8458012822*$t);
$Z0 += 0.00000001510*cos(3.41611736454 + 518.6452648307*$t);
$Z0 += 0.00000001579*cos(3.96836848379 + 2420.9286360334*$t);
$Z0 += 0.00000001630*cos(1.31973482281 + 39.3568759152*$t);
$Z0 += 0.00000001598*cos(2.53043088824 + 511.5317178299*$t);
$Z0 += 0.00000001841*cos(5.72475961436 + 531.1754378029*$t);
$Z0 += 0.00000001537*cos(1.84394223501 + 547.8502123593*$t);
$Z0 += 0.00000001771*cos(4.87234280655 + 528.2064923863*$t);
$Z0 += 0.00000001656*cos(1.27834742762 + 173.9422195228*$t);
$Z0 += 0.00000001242*cos(1.65064670901 + 643.8294395771*$t);
$Z0 += 0.00000001302*cos(3.54050271463 + 3340.6124266998*$t);
$Z0 += 0.00000001236*cos(5.41985106155 + 107.0249274817*$t);
$Z0 += 0.00000001165*cos(1.48429677606 + 960.2213092337*$t);
$Z0 += 0.00000001166*cos(5.12888892088 + 1048.3362299253*$t);
$Z0 += 0.00000001153*cos(4.78828764413 + 514.7131115676*$t);
$Z0 += 0.00000001153*cos(4.22743390789 + 2744.4340526908*$t);
$Z0 += 0.00000001478*cos(3.73912254261 + 230.5645708254*$t);
$Z0 += 0.00000001121*cos(6.27688038656 + 387.2413149608*$t);
$Z0 += 0.00000001112*cos(5.83569926578 + 544.6688186216*$t);
$Z0 += 0.00000001170*cos(1.05508911315 + 1512.8068240082*$t);
$Z0 += 0.00000001113*cos(5.74217831509 + 3480.3105662226*$t);
$Z0 += 0.00000001507*cos(4.16985097397 + 1364.7280995819*$t);
$Z0 += 0.00000001120*cos(5.02238271412 + 1464.6394800628*$t);
$Z0 += 0.00000001232*cos(2.83088412944 + 2538.2485042536*$t);
$Z0 += 0.00000001179*cos(4.62538441124 + 1056.9342496344*$t);
$Z0 += 0.00000001278*cos(3.86396842379 + 92.0470739547*$t);
$Z0 += 0.00000001094*cos(2.73378417498 + 299.1263942692*$t);
$Z0 += 0.00000001345*cos(0.63863230611 + 1061.829610744*$t);
$Z0 += 0.00000000977*cos(3.50831165685 + 2.4476805548*$t);
$Z0 += 0.00000001323*cos(4.03638019689 + 494.2662424425*$t);
$Z0 += 0.00000001310*cos(5.45458264580 + 1057.8974574809*$t);
$Z0 += 0.00000000966*cos(3.51363341772 + 2634.2277314714*$t);
$Z0 += 0.00000001053*cos(5.49394122920 + 3178.1457905676*$t);
$Z0 += 0.00000000984*cos(4.22960042766 + 430.5303441391*$t);
$Z0 += 0.00000000937*cos(3.77590974564 + 2641.3412784722*$t);
$Z0 += 0.00000000932*cos(4.11879245377 + 1059.430114299*$t);
$Z0 += 0.00000000941*cos(0.30660455816 + 70.8494453042*$t);
$Z0 += 0.00000000925*cos(1.29091785470 + 2435.155730035*$t);
$Z0 += 0.00000000950*cos(3.88567620136 + 3377.217792004*$t);
$Z0 += 0.00000001051*cos(5.62777473038 + 2207.6295405954*$t);
$Z0 += 0.00000001020*cos(1.77520625500 + 312.4597163935*$t);
$Z0 += 0.00000000946*cos(4.13718116942 + 1677.9385755008*$t);
$Z0 += 0.00000001080*cos(2.32932073464 + 106.2741679563*$t);
$Z0 += 0.00000000890*cos(0.03582895580 + 647.0108333148*$t);
$Z0 += 0.00000001086*cos(2.80157071056 + 1038.0412891868*$t);
$Z0 += 0.00000001158*cos(0.32499630540 + 565.1156877467*$t);
$Z0 += 0.00000001098*cos(1.00937080256 + 523.5406259403*$t);
$Z0 += 0.00000000932*cos(0.92098132614 + 1059.3337460794*$t);
$Z0 += 0.00000000821*cos(3.41471589329 + 2950.619601128*$t);
$Z0 += 0.00000000929*cos(2.30521635468 + 1514.2912967165*$t);
$Z0 += 0.00000000915*cos(1.48306891526 + 10.2949407385*$t);
$Z0 += 0.00000000911*cos(3.32547809355 + 18.1592472647*$t);
$Z0 += 0.00000000786*cos(2.82286526802 + 1134.1635287565*$t);
$Z0 += 0.00000000954*cos(0.13401891198 + 3906.9087570986*$t);
$Z0 += 0.00000000994*cos(3.33159283750 + 535.8413042489*$t);
$Z0 += 0.00000000792*cos(5.10203109941 + 2524.021410252*$t);
$Z0 += 0.00000000824*cos(1.74472748730 + 529.9515975255*$t);
$Z0 += 0.00000000824*cos(2.59595816107 + 529.4303326637*$t);
$Z0 += 0.00000000762*cos(4.30564108086 + 672.1406152284*$t);
$Z0 += 0.00000000872*cos(5.03498959444 + 679.2541622292*$t);
$Z0 += 0.00000000839*cos(3.34536065236 + 124.433415221*$t);
$Z0 += 0.00000000927*cos(4.91765336511 + 1593.0050485469*$t);
$Z0 += 0.00000000826*cos(5.05738343335 + 2847.5268269094*$t);
$Z0 += 0.00000000738*cos(0.70435921398 + 522.529233984*$t);
return $Z0;
}
function Jupiter_Z1($t) // 124 terms of order 1
{
$Z1 = 0.00922338114*cos(5.70129376981 + 529.6909650946*$t);
$Z1 += 0.00016158151*cos(5.47088355549 + 522.5774180938*$t);
$Z1 += 0.00011443757*cos(4.73284385916 + 536.8045120954*$t);
$Z1 -= 0.00013239917;
$Z1 += 0.00008389696*cos(5.77702424773 + 1059.3819301892*$t);
$Z1 += 0.00001518380*cos(6.17585226995 + 7.1135470008*$t);
$Z1 += 0.00000909709*cos(4.72812859336 + 1052.2683831884*$t);
$Z1 += 0.00000620246*cos(2.72253251427 + 103.0927742186*$t);
$Z1 += 0.00000608445*cos(5.18778213162 + 1066.49547719*$t);
$Z1 += 0.00000532577*cos(3.42162653671 + 632.7837393132*$t);
$Z1 += 0.00000380990*cos(0.66271432082 + 419.4846438752*$t);
$Z1 += 0.00000388254*cos(5.49417723877 + 515.463871093*$t);
$Z1 += 0.00000298589*cos(2.90253153613 + 949.1756089698*$t);
$Z1 += 0.00000349922*cos(0.54665309808 + 110.2063212194*$t);
$Z1 += 0.00000279305*cos(3.88961739871 + 1589.0728952838*$t);
$Z1 += 0.00000361932*cos(5.53643296927 + 213.299095438*$t);
$Z1 += 0.00000225182*cos(3.89570879874 + 735.8765135318*$t);
$Z1 += 0.00000187607*cos(4.69299591719 + 543.9180590962*$t);
$Z1 += 0.00000179235*cos(5.12740491355 + 1162.4747044078*$t);
$Z1 += 0.00000200039*cos(6.12017192088 + 316.3918696566*$t);
$Z1 += 0.00000182523*cos(1.80179763504 + 846.0828347512*$t);
$Z1 += 0.00000144548*cos(5.86543306509 + 323.5054166574*$t);
$Z1 += 0.00000086282*cos(5.89687025782 + 526.5095713569*$t);
$Z1 += 0.00000089546*cos(5.65296765520 + 533.6231183577*$t);
$Z1 += 0.00000081378*cos(6.14717900879 + 14.2270940016*$t);
$Z1 += 0.00000074353*cos(2.14164008505 + 206.1855484372*$t);
$Z1 += 0.00000069673*cos(4.30083628252 + 532.8723588323*$t);
$Z1 += 0.00000062471*cos(4.30070044341 + 525.7588118315*$t);
$Z1 += 0.00000057223*cos(1.37578902299 + 426.598190876*$t);
$Z1 += 0.00000053295*cos(4.89194899977 + 1581.959348283*$t);
$Z1 += 0.00000040084*cos(3.76141485240 + 625.6701923124*$t);
$Z1 += 0.00000036247*cos(5.63125611734 + 1596.1864422846*$t);
$Z1 += 0.00000035548*cos(1.83858046513 + 956.2891559706*$t);
$Z1 += 0.00000041340*cos(4.43813420705 + 1045.1548361876*$t);
$Z1 += 0.00000031563*cos(0.93258298806 + 95.9792272178*$t);
$Z1 += 0.00000033208*cos(0.84342977892 + 117.3198682202*$t);
$Z1 += 0.00000030354*cos(3.48783919024 + 639.897286314*$t);
$Z1 += 0.00000030115*cos(5.67382431748 + 1265.5674786264*$t);
$Z1 += 0.00000025977*cos(2.95191149293 + 942.062061969*$t);
$Z1 += 0.00000033745*cos(3.93467189724 + 2118.7638603784*$t);
$Z1 += 0.00000022626*cos(5.48825527865 + 433.7117378768*$t);
$Z1 += 0.00000019878*cos(4.91628562475 + 220.4126424388*$t);
$Z1 += 0.00000017659*cos(4.23943297681 + 1169.5882514086*$t);
$Z1 += 0.00000018816*cos(4.88638541834 + 1155.361157407*$t);
$Z1 += 0.00000013710*cos(0.75869975183 + 853.196381752*$t);
$Z1 += 0.00000011629*cos(5.82902179758 + 330.6189636582*$t);
$Z1 += 0.00000009953*cos(3.77150415749 + 1478.8665740644*$t);
$Z1 += 0.00000009435*cos(5.19056014088 + 412.3710968744*$t);
$Z1 += 0.00000007949*cos(5.09235140984 + 1073.6090241908*$t);
$Z1 += 0.00000007394*cos(3.77882877747 + 742.9900605326*$t);
$Z1 += 0.00000006394*cos(1.73926334857 + 199.0720014364*$t);
$Z1 += 0.00000007268*cos(1.08212079652 + 309.2783226558*$t);
$Z1 += 0.00000006126*cos(5.65302722173 + 508.3503240922*$t);
$Z1 += 0.00000005709*cos(5.24271332802 + 1692.1656695024*$t);
$Z1 += 0.00000004446*cos(0.13248846755 + 1063.3140834523*$t);
$Z1 += 0.00000004664*cos(6.01570799148 + 1795.258443721*$t);
$Z1 += 0.00000004631*cos(2.23071927945 + 1368.660252845*$t);
$Z1 += 0.00000005404*cos(4.55754877469 + 728.762966531*$t);
$Z1 += 0.00000003944*cos(6.15098833747 + 519.3960243561*$t);
$Z1 += 0.00000004113*cos(6.19598758673 + 3.1813937377*$t);
$Z1 += 0.00000003543*cos(3.09506092197 + 618.5566453116*$t);
$Z1 += 0.00000003392*cos(1.77987055903 + 1375.7737998458*$t);
$Z1 += 0.00000003322*cos(4.96703910975 + 1062.5633239269*$t);
$Z1 += 0.00000003774*cos(5.36462989641 + 2111.6503133776*$t);
$Z1 += 0.00000003799*cos(5.83406327157 + 1056.2005364515*$t);
$Z1 += 0.00000002813*cos(4.52082617477 + 1272.6810256272*$t);
$Z1 += 0.00000002782*cos(4.79754662680 + 551.031606097*$t);
$Z1 += 0.00000002602*cos(4.23853778386 + 1574.8458012822*$t);
$Z1 += 0.00000002563*cos(4.89379767599 + 227.5261894396*$t);
$Z1 += 0.00000002684*cos(4.21379358590 + 2648.454825473*$t);
$Z1 += 0.00000002532*cos(4.43605994513 + 539.9859058331*$t);
$Z1 += 0.00000002233*cos(3.23226667541 + 1685.0521225016*$t);
$Z1 += 0.00000002724*cos(4.04040213922 + 74.7815985673*$t);
$Z1 += 0.00000002366*cos(4.85623283641 + 1055.4497769261*$t);
$Z1 += 0.00000002278*cos(2.57618076227 + 1485.9801210652*$t);
$Z1 += 0.00000002080*cos(0.06312365899 + 2125.8774073792*$t);
$Z1 += 0.00000002460*cos(1.72405831407 + 532.1386456494*$t);
$Z1 += 0.00000001956*cos(2.23190744786 + 529.6427809848*$t);
$Z1 += 0.00000001955*cos(5.42971857629 + 529.7391492044*$t);
$Z1 += 0.00000002026*cos(1.92698506631 + 525.0250986486*$t);
$Z1 += 0.00000001820*cos(6.00083773693 + 1258.4539316256*$t);
$Z1 += 0.00000002478*cos(5.93625415892 + 527.2432845398*$t);
$Z1 += 0.00000001744*cos(4.12331874845 + 440.8252848776*$t);
$Z1 += 0.00000002234*cos(0.54491713117 + 380.12776796*$t);
$Z1 += 0.00000002181*cos(6.14968267326 + 149.5631971346*$t);
$Z1 += 0.00000001629*cos(4.73547025109 + 1699.2792165032*$t);
$Z1 += 0.00000001576*cos(5.79923230523 + 838.9692877504*$t);
$Z1 += 0.00000001718*cos(1.47385390454 + 831.8557407496*$t);
$Z1 += 0.00000002078*cos(0.02343346752 + 21.3406410024*$t);
$Z1 += 0.00000001415*cos(6.10139082852 + 2428.0421830342*$t);
$Z1 += 0.00000001549*cos(5.09589374634 + 528.7277572481*$t);
$Z1 += 0.00000001415*cos(2.35346960340 + 534.3568315406*$t);
$Z1 += 0.00000001305*cos(2.13001780938 + 302.164775655*$t);
$Z1 += 0.00000001546*cos(2.56584512211 + 530.6541729411*$t);
$Z1 += 0.00000001225*cos(4.81644489422 + 535.107591066*$t);
$Z1 += 0.00000001227*cos(4.63162956792 + 526.7702037878*$t);
$Z1 += 0.00000001475*cos(3.64456015927 + 984.6003316219*$t);
$Z1 += 0.00000001121*cos(3.02317463559 + 2001.4439921582*$t);
$Z1 += 0.00000001035*cos(3.65466665401 + 1471.7530270636*$t);
$Z1 += 0.00000001161*cos(4.51697446536 + 1038.0412891868*$t);
$Z1 += 0.00000001060*cos(3.43347467903 + 3.9321532631*$t);
$Z1 += 0.00000001007*cos(4.35426216497 + 511.5317178299*$t);
$Z1 += 0.00000001025*cos(2.87748450885 + 2317.8358618148*$t);
$Z1 += 0.00000001112*cos(4.47223399610 + 750.1036075334*$t);
$Z1 += 0.00000001226*cos(3.74723115522 + 38.1330356378*$t);
$Z1 += 0.00000000876*cos(5.40141749419 + 524.2743391232*$t);
$Z1 += 0.00000000809*cos(1.79288461783 + 2214.7430875962*$t);
$Z1 += 0.00000000788*cos(5.94278119191 + 10.2949407385*$t);
$Z1 += 0.00000000931*cos(1.41779899532 + 909.8187330546*$t);
$Z1 += 0.00000000741*cos(1.37687026697 + 1382.8873468466*$t);
$Z1 += 0.00000000670*cos(6.15206333598 + 547.8502123593*$t);
$Z1 += 0.00000000688*cos(1.04145468936 + 1905.4647649404*$t);
$Z1 += 0.00000000757*cos(5.66593038440 + 76.2660712756*$t);
$Z1 += 0.00000000882*cos(4.49029761988 + 604.4725636619*$t);
$Z1 += 0.00000000690*cos(3.49297492409 + 529.1697002328*$t);
$Z1 += 0.00000000689*cos(3.98820790955 + 530.2122299564*$t);
$Z1 += 0.00000000819*cos(2.95686029502 + 454.9093665273*$t);
$Z1 += 0.00000000570*cos(1.96990183237 + 1898.3512179396*$t);
$Z1 += 0.00000000690*cos(0.18267926862 + 6283.0758499914*$t);
$Z1 += 0.00000000663*cos(4.55436664519 + 305.3461693927*$t);
$Z1 += 0.00000000477*cos(2.44863388631 + 490.3340891794*$t);
$Z1 += 0.00000000398*cos(4.50217443276 + 2008.557539159*$t);
$Z1 += 0.00000000375*cos(1.90578907085 + 528.9402055692*$t);
$Z1 += 0.00000000374*cos(5.57619428876 + 530.44172462*$t);
return $Z1*$t;
}
function Jupiter_Z2($t) // 68 terms of order 2
{
$Z2 = 0.00042203037*cos(1.45965899387 + 529.6909650946*$t);
$Z2 -= 0.00006345355;
$Z2 += 0.00003895469*cos(0.95407663893 + 522.5774180938*$t);
$Z2 += 0.00002065004*cos(2.89817590660 + 536.8045120954*$t);
$Z2 += 0.00000893912*cos(1.44537531474 + 1059.3819301892*$t);
$Z2 += 0.00000193882*cos(0.40346918252 + 1052.2683831884*$t);
$Z2 += 0.00000177093*cos(4.24934061763 + 7.1135470008*$t);
$Z2 += 0.00000154339*cos(0.98627236886 + 515.463871093*$t);
$Z2 += 0.00000119867*cos(3.48023127478 + 1066.49547719*$t);
$Z2 += 0.00000071483*cos(2.91929643864 + 543.9180590962*$t);
$Z2 += 0.00000058309*cos(5.21153342767 + 632.7837393132*$t);
$Z2 += 0.00000049489*cos(1.90363556247 + 1589.0728952838*$t);
$Z2 += 0.00000033191*cos(4.84947257364 + 949.1756089698*$t);
$Z2 += 0.00000028865*cos(4.59812610654 + 110.2063212194*$t);
$Z2 += 0.00000026279*cos(1.43562959449 + 526.5095713569*$t);
$Z2 += 0.00000025332*cos(4.38538322886 + 14.2270940016*$t);
$Z2 += 0.00000017862*cos(1.38653335267 + 533.6231183577*$t);
$Z2 += 0.00000016652*cos(2.14142688267 + 316.3918696566*$t);
$Z2 += 0.00000018475*cos(0.44768511310 + 419.4846438752*$t);
$Z2 += 0.00000015818*cos(1.42318045904 + 103.0927742186*$t);
$Z2 += 0.00000020087*cos(6.06937699639 + 735.8765135318*$t);
$Z2 += 0.00000015944*cos(3.98909127597 + 323.5054166574*$t);
$Z2 += 0.00000016057*cos(6.20772505653 + 1045.1548361876*$t);
$Z2 += 0.00000012863*cos(4.00884384040 + 426.598190876*$t);
$Z2 += 0.00000015906*cos(2.39783235711 + 532.8723588323*$t);
$Z2 += 0.00000013892*cos(0.94813323601 + 213.299095438*$t);
$Z2 += 0.00000010214*cos(0.99254309899 + 1162.4747044078*$t);
$Z2 += 0.00000010216*cos(0.51784128572 + 1581.959348283*$t);
$Z2 += 0.00000007926*cos(4.00901193840 + 1596.1864422846*$t);
$Z2 += 0.00000007954*cos(3.77963260387 + 846.0828347512*$t);
$Z2 += 0.00000009013*cos(2.24077766707 + 525.7588118315*$t);
$Z2 += 0.00000009087*cos(5.73971133695 + 625.6701923124*$t);
$Z2 += 0.00000006668*cos(4.76731608799 + 942.062061969*$t);
$Z2 += 0.00000006568*cos(2.86210728523 + 95.9792272178*$t);
$Z2 += 0.00000007860*cos(5.36569633982 + 117.3198682202*$t);
$Z2 += 0.00000006892*cos(4.23401086250 + 206.1855484372*$t);
$Z2 += 0.00000005090*cos(0.36658695963 + 1155.361157407*$t);
$Z2 += 0.00000004274*cos(3.72888580140 + 433.7117378768*$t);
$Z2 += 0.00000003753*cos(3.16074830315 + 220.4126424388*$t);
$Z2 += 0.00000003669*cos(0.07721721390 + 956.2891559706*$t);
$Z2 += 0.00000003591*cos(1.27574344579 + 508.3503240922*$t);
$Z2 += 0.00000003432*cos(5.12494175250 + 742.9900605326*$t);
$Z2 += 0.00000003262*cos(1.85564958119 + 639.897286314*$t);
$Z2 += 0.00000003246*cos(2.42226150944 + 1169.5882514086*$t);
$Z2 += 0.00000003879*cos(2.47671375339 + 2118.7638603784*$t);
$Z2 += 0.00000002719*cos(3.57668078721 + 1073.6090241908*$t);
$Z2 += 0.00000003564*cos(6.14378298704 + 728.762966531*$t);
$Z2 += 0.00000002630*cos(1.72012208968 + 1265.5674786264*$t);
$Z2 += 0.00000002800*cos(4.30633268838 + 330.6189636582*$t);
$Z2 += 0.00000002361*cos(5.36600615712 + 853.196381752*$t);
$Z2 += 0.00000002261*cos(1.65056479007 + 519.3960243561*$t);
$Z2 += 0.00000002143*cos(3.59903064599 + 199.0720014364*$t);
$Z2 += 0.00000002064*cos(0.72183122308 + 838.9692877504*$t);
$Z2 += 0.00000002327*cos(1.57523321082 + 412.3710968744*$t);
$Z2 += 0.00000001483*cos(5.22462726605 + 1478.8665740644*$t);
$Z2 += 0.00000001392*cos(3.02125335643 + 551.031606097*$t);
$Z2 += 0.00000001187*cos(1.24411330169 + 1258.4539316256*$t);
$Z2 += 0.00000001238*cos(2.56643737684 + 539.9859058331*$t);
$Z2 += 0.00000001019*cos(4.56433477067 + 21.3406410024*$t);
$Z2 += 0.00000000787*cos(3.45332815915 + 227.5261894396*$t);
$Z2 += 0.00000000789*cos(4.40210167179 + 3.1813937377*$t);
$Z2 += 0.00000000933*cos(2.99359495481 + 309.2783226558*$t);
$Z2 += 0.00000000668*cos(2.62794838154 + 440.8252848776*$t);
$Z2 += 0.00000000701*cos(3.25895071673 + 1062.5633239269*$t);
$Z2 += 0.00000000655*cos(2.81138161833 + 1485.9801210652*$t);
$Z2 += 0.00000000530*cos(1.07172768238 + 1692.1656695024*$t);
$Z2 += 0.00000000491*cos(1.99562035757 + 1368.660252845*$t);
$Z2 += 0.00000000470*cos(0.26830712431 + 1272.6810256272*$t);
return $Z2*$t*$t;
}
function Jupiter_Z3($t) // 39 terms of order 3
{
$Z3 = 0.00001302949*cos(3.38307505290 + 529.6909650946*$t);
$Z3 += 0.00000638849*cos(2.73076320051 + 522.5774180938*$t);
$Z3 += 0.00000252188*cos(1.03735897029 + 536.8045120954*$t);
$Z3 += 0.00000042424*cos(2.76335793506 + 515.463871093*$t);
$Z3 += 0.00000028787*cos(2.30679311994 + 1052.2683831884*$t);
$Z3 += 0.00000018636*cos(1.12686228293 + 543.9180590962*$t);
$Z3 += 0.00000016037*cos(1.78194169646 + 1066.49547719*$t);
$Z3 -= 0.00000021893;
$Z3 += 0.00000015010*cos(2.24882166949 + 7.1135470008*$t);
$Z3 += 0.00000018770*cos(4.26444493597 + 1059.3819301892*$t);
$Z3 += 0.00000005506*cos(2.63836917983 + 14.2270940016*$t);
$Z3 += 0.00000004515*cos(1.81963459999 + 1045.1548361876*$t);
$Z3 += 0.00000004499*cos(0.43487771424 + 632.7837393132*$t);
$Z3 += 0.00000003150*cos(2.90272527852 + 110.2063212194*$t);
$Z3 += 0.00000002649*cos(3.67990759642 + 419.4846438752*$t);
$Z3 += 0.00000002448*cos(5.72936768843 + 103.0927742186*$t);
$Z3 += 0.00000003025*cos(1.52033973511 + 735.8765135318*$t);
$Z3 += 0.00000002257*cos(0.17284429054 + 949.1756089698*$t);
$Z3 += 0.00000002354*cos(3.18232334886 + 526.5095713569*$t);
$Z3 += 0.00000001614*cos(2.98017326384 + 508.3503240922*$t);
$Z3 += 0.00000001671*cos(4.40642025933 + 532.8723588323*$t);
$Z3 += 0.00000001483*cos(1.64073529408 + 625.6701923124*$t);
$Z3 += 0.00000001665*cos(0.44117653607 + 1589.0728952838*$t);
$Z3 += 0.00000001469*cos(3.11087801399 + 533.6231183577*$t);
$Z3 += 0.00000001412*cos(0.26761069900 + 942.062061969*$t);
$Z3 += 0.00000001270*cos(0.70083660931 + 426.598190876*$t);
$Z3 += 0.00000000899*cos(2.62337071525 + 1596.1864422846*$t);
$Z3 += 0.00000000951*cos(4.34670868038 + 525.7588118315*$t);
$Z3 += 0.00000000973*cos(6.07278030998 + 639.897286314*$t);
$Z3 += 0.00000000829*cos(2.20068062832 + 1581.959348283*$t);
$Z3 += 0.00000001015*cos(3.67348757646 + 117.3198682202*$t);
$Z3 += 0.00000000849*cos(1.53481384034 + 323.5054166574*$t);
$Z3 += 0.00000000681*cos(1.96048278513 + 1073.6090241908*$t);
$Z3 += 0.00000000665*cos(3.82697658502 + 316.3918696566*$t);
$Z3 += 0.00000000609*cos(4.70141431381 + 95.9792272178*$t);
$Z3 += 0.00000000518*cos(4.61207781194 + 2118.7638603784*$t);
$Z3 += 0.00000000512*cos(5.55216613299 + 433.7117378768*$t);
$Z3 += 0.00000000459*cos(3.26874502411 + 213.299095438*$t);
$Z3 += 0.00000000401*cos(2.27671168160 + 1162.4747044078*$t);
return $Z3*$t*$t*$t;
}
function Jupiter_Z4($t) // 11 terms of order 4
{
$Z4 = 0.00000078889*cos(4.52764322985 + 522.5774180938*$t);
$Z4 += 0.00000028644*cos(4.45318845059 + 529.6909650946*$t);
$Z4 += 0.00000026536;
$Z4 += 0.00000023071*cos(5.44321158713 + 536.8045120954*$t);
$Z4 += 0.00000009686*cos(4.52165553359 + 515.463871093*$t);
$Z4 += 0.00000003848*cos(5.59513666444 + 543.9180590962*$t);
$Z4 += 0.00000003620*cos(4.19174561337 + 1052.2683831884*$t);
$Z4 += 0.00000000945*cos(5.96517767658 + 7.1135470008*$t);
$Z4 += 0.00000000957*cos(6.25072054635 + 1066.49547719*$t);
$Z4 += 0.00000000722*cos(3.64496080495 + 1059.3819301892*$t);
$Z4 += 0.00000000582*cos(1.16718383135 + 14.2270940016*$t);
return $Z4*$t*$t*$t*$t;
}
function Jupiter_Z5($t) // 5 terms of order 5
{
$Z5 = 0.00000007519*cos(0.09198554072 + 522.5774180938*$t);
$Z5 += 0.00000001913*cos(0.00874408003 + 515.463871093*$t);
$Z5 += 0.00000001582*cos(3.27902945138 + 536.8045120954*$t);
$Z5 += 0.00000000704*cos(0.27563461391 + 529.6909650946*$t);
$Z5 += 0.00000000495*cos(1.29305954542 + 543.9180590962*$t);
return $Z5*$t*$t*$t*$t*$t;
}
?>