<?PHP
/*
******************************************************
EARTH
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: 2000 BC to 6000 AD
Written in generic PHP
(c) Jay Tanner - NeoProgrammics - 2007 Jun 15 - Fri
Ref:
Planetary Theories in Rectangular and Spherical Variables
VSOP87 Solutions
Astronomy & Astrophysics
vol. 202, p309-p315
Pierre Bretagnon, Gerard Francou
1988
This source code is released to the public domain.
Jay Tanner
VSOP87@NeoProgrammics.com
******************************************************
*/
function Earth_hXYZR($JDArg)
{
// Compute time in Julian millennia from J2000.0
$t = ($JDArg - 2451545) / 365250;
// Compute the heliocentric coordinates for time ($t)
$hX = Earth_X0($t) + Earth_X1($t) + Earth_X2($t)
+ Earth_X3($t) + Earth_X4($t) + Earth_X5($t);
$hY = Earth_Y0($t) + Earth_Y1($t) + Earth_Y2($t)
+ Earth_Y3($t) + Earth_Y4($t) + Earth_Y5($t);
$hZ = Earth_Z0($t) + Earth_Z1($t) + Earth_Z2($t)
+ Earth_Z3($t) + Earth_Z4($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 $hR";
}
/*
Earth - VSOP87 Series Version C3 - Rectangular (X,Y,Z) Coordinates
X = X-Coordinate in AU (Astronomical Units)
Y = Y-Coordinate in AU
Z = Z-Coordinate in AU
R*R = (X*X + Y*Y + Z*Z)
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
PHP Language
VSOP87 Functions Source Code
Generated By NeoProgrammics VSOP87 Code Generator
(c) Jay Tanner 2008
Ref:
Planetary Theories in Rectangular and Spherical Variables
VSOP87 Solutions
Astronomy & Astrophysics
vol. 202, p309-p315
Pierre Bretagnon, Gerard Francou
1988
*/
function Earth_X0($t) // 1007 terms of order 0
{
$X0 = 0.99986069925*cos(1.75347045757 + 6283.3196674749*$t);
$X0 += 0.02506324281*cos(4.93819429098 + 0.2438174835*$t);
$X0 += 0.00835274807*cos(1.71033525539 + 12566.3955174663*$t);
$X0 += 0.00010466796*cos(1.66721984219 + 18849.4713674577*$t);
$X0 += 0.00003490608*cos(4.44373803231 + 6282.83203250789*$t);
$X0 += 0.00003110838*cos(0.66875189331 + 83997.09113559539*$t);
$X0 += 0.00002561408*cos(0.58588607490 + 529.9347825781*$t);
$X0 += 0.00002142365*cos(1.09204474884 + 1577.0997249643*$t);
$X0 += 0.00001709161*cos(0.49540863237 + 6279.7965491259*$t);
$X0 += 0.00001707934*cos(6.15314019418 + 6286.84278582391*$t);
$X0 += 0.00001442753*cos(3.47210398336 + 2353.1099712553*$t);
$X0 += 0.00001113027*cos(3.69621650479 + 5223.4501023187*$t);
$X0 += 0.00000934484*cos(6.07385378286 + 12036.7045523717*$t);
$X0 += 0.00000899854*cos(3.17607463681 + 10213.5293636945*$t);
$X0 += 0.00000566820*cos(2.15241946891 + 1059.6257476727*$t);
$X0 += 0.00000661858*cos(1.31175222119 + 5753.6287023803*$t);
$X0 += 0.00000739644*cos(4.36662524112 + 398.3928208917*$t);
$X0 += 0.00000681381*cos(2.21815397940 + 4705.9761250271*$t);
$X0 += 0.00000611293*cos(5.38470180335 + 6813.0106325695*$t);
$X0 += 0.00000451129*cos(6.09315891204 + 5885.1706640667*$t);
$X0 += 0.00000451985*cos(1.27931036318 + 6257.0213476751*$t);
$X0 += 0.00000449743*cos(5.36941929064 + 6309.61798727471*$t);
$X0 += 0.00000406291*cos(0.54369369385 + 6681.46867088311*$t);
$X0 += 0.00000541115*cos(0.78670634299 + 775.7664288075*$t);
$X0 += 0.00000546682*cos(1.46109463961 + 14143.7390599141*$t);
$X0 += 0.00000513780*cos(4.43695037790 + 7860.6632099227*$t);
$X0 += 0.00000263916*cos(5.39551752630 + 5507.7970561509*$t);
$X0 += 0.00000217220*cos(4.51265697015 + 11507.0135872771*$t);
$X0 += 0.00000292146*cos(2.51372357301 + 5507.3094211839*$t);
$X0 += 0.00000227915*cos(1.23940916733 + 7058.8422787989*$t);
$X0 += 0.00000226835*cos(3.27356345008 + 4693.75913722409*$t);
$X0 += 0.00000255833*cos(2.26545070197 + 12168.2465140581*$t);
$X0 += 0.00000256157*cos(1.45478864804 + 710.1768660418*$t);
$X0 += 0.00000178679*cos(2.96645630109 + 796.5418242999*$t);
$X0 += 0.00000178303*cos(0.40472561766 + 6283.25235717211*$t);
$X0 += 0.00000178303*cos(6.24380795499 + 6283.3869777777*$t);
$X0 += 0.00000155471*cos(1.62414733243 + 25132.5472174491*$t);
$X0 += 0.00000155246*cos(1.41969109555 + 5487.0216606585*$t);
$X0 += 0.00000207640*cos(5.85326148962 + 11790.8729061423*$t);
$X0 += 0.00000199988*cos(4.07216830110 + 17790.08943726851*$t);
$X0 += 0.00000128970*cos(5.21698329136 + 7079.61767429131*$t);
$X0 += 0.00000128155*cos(4.80258701251 + 3739.0052475915*$t);
$X0 += 0.00000152241*cos(0.86901699174 + 213.5429129215*$t);
$X0 += 0.00000078109*cos(1.84890519772 + 8827.6340873583*$t);
$X0 += 0.00000073503*cos(2.69517697923 + 1589.3167127673*$t);
$X0 += 0.00000093001*cos(3.93777887053 + 9437.5191174035*$t);
$X0 += 0.00000065526*cos(3.65568333160 + 11770.0975106499*$t);
$X0 += 0.00000063240*cos(2.24124127597 + 6262.5442719825*$t);
$X0 += 0.00000062961*cos(4.40729385308 + 6304.0950629673*$t);
$X0 += 0.00000085870*cos(3.02430778985 + 167284.00540514899*$t);
$X0 += 0.00000083233*cos(6.19780778434 + 3340.8562441833*$t);
$X0 += 0.00000062850*cos(2.03823135444 + 7.3573644843*$t);
$X0 += 0.00000079971*cos(2.49335782552 + 6070.0205720369*$t);
$X0 += 0.00000060043*cos(3.39955163445 + 4137.1542509997*$t);
$X0 += 0.00000075613*cos(4.15948190002 + 6496.6187629129*$t);
$X0 += 0.00000053731*cos(1.56268892040 + 1194.6908277081*$t);
$X0 += 0.00000057574*cos(3.96971590315 + 6284.2999885431*$t);
$X0 += 0.00000057574*cos(2.67881766950 + 6282.3393464067*$t);
$X0 += 0.00000072385*cos(4.85114866885 + 10976.83498721549*$t);
$X0 += 0.00000051135*cos(1.31237333336 + 6290.4332144757*$t);
$X0 += 0.00000050604*cos(5.34520074613 + 6276.2061204741*$t);
$X0 += 0.00000049613*cos(2.64370047145 + 6127.8992680407*$t);
$X0 += 0.00000048009*cos(4.00571885519 + 6438.7400669091*$t);
$X0 += 0.00000059233*cos(3.78322753249 + 3154.4432674121*$t);
$X0 += 0.00000048264*cos(4.77126143981 + 801.5771136403*$t);
$X0 += 0.00000047368*cos(6.10696378485 + 3128.6325825793*$t);
$X0 += 0.00000039225*cos(3.25281924495 + 8429.4850839501*$t);
$X0 += 0.00000051307*cos(5.78448747277 + 12353.0964220283*$t);
$X0 += 0.00000050639*cos(2.05215225623 + 11856.462468908*$t);
$X0 += 0.00000039555*cos(4.93022654622 + 5481.4987363511*$t);
$X0 += 0.00000042757*cos(3.64063452002 + 17260.3984721739*$t);
$X0 += 0.00000048941*cos(0.45355151773 + 9225.7830907665*$t);
$X0 += 0.00000048302*cos(0.60366334071 + 2544.07060239989*$t);
$X0 += 0.00000037971*cos(3.04093006964 + 426.8420083595*$t);
$X0 += 0.00000043643*cos(3.14688065147 + 5856.23384163189*$t);
$X0 += 0.00000031830*cos(2.00885127406 + 2145.92159899169*$t);
$X0 += 0.00000033959*cos(1.72230567102 + 7085.1405985987*$t);
$X0 += 0.00000030184*cos(3.96882361878 + 10977.32262218251*$t);
$X0 += 0.00000032562*cos(2.84647033523 + 4164.0681721295*$t);
$X0 += 0.00000038887*cos(5.36022568355 + 13367.7288136231*$t);
$X0 += 0.00000028515*cos(6.10933021457 + 12569.91863581531*$t);
$X0 += 0.00000028873*cos(1.01228967614 + 3930.4535137031*$t);
$X0 += 0.00000036633*cos(2.90798803424 + 18073.9487561337*$t);
$X0 += 0.00000024984*cos(2.17919076736 + 26.0545023163*$t);
$X0 += 0.00000026364*cos(0.54621601823 + 9438.0067523705*$t);
$X0 += 0.00000030326*cos(1.99372292658 + 4535.3032544079*$t);
$X0 += 0.00000028166*cos(0.48127325062 + 12562.8723991173*$t);
$X0 += 0.00000028001*cos(2.82603231075 + 5088.8726572503*$t);
$X0 += 0.00000021157*cos(5.07256589577 + 11371.9485072417*$t);
$X0 += 0.00000023113*cos(0.85996930170 + 5223.93773728571*$t);
$X0 += 0.00000021642*cos(4.63524157818 + 12559.2819704655*$t);
$X0 += 0.00000019448*cos(4.40136974621 + 12565.9078824993*$t);
$X0 += 0.00000026055*cos(0.30340363466 + 71430.45180064559*$t);
$X0 += 0.00000018232*cos(3.41362095130 + 1747.7725955835*$t);
$X0 += 0.00000023248*cos(6.19009992884 + 18319.7804023631*$t);
$X0 += 0.00000022785*cos(1.16821848960 + 5753.14106741329*$t);
$X0 += 0.00000017091*cos(0.58584172932 + 4933.4522578161*$t);
$X0 += 0.00000019399*cos(4.43188457477 + 10447.14402212089*$t);
$X0 += 0.00000021067*cos(3.80033599994 + 7477.7666776995*$t);
$X0 += 0.00000021310*cos(4.65919931667 + 8031.3360805419*$t);
$X0 += 0.00000014189*cos(1.30988546287 + 2942.7072407751*$t);
$X0 += 0.00000013864*cos(4.59350621319 + 8636.18582124671*$t);
$X0 += 0.00000018884*cos(2.42694418444 + 156137.71980228279*$t);
$X0 += 0.00000017875*cos(0.15660631596 + 1592.8398311163*$t);
$X0 += 0.00000018602*cos(0.50024326019 + 17297.9385098427*$t);
$X0 += 0.00000013605*cos(5.19720916665 + 13096.0864825609*$t);
$X0 += 0.00000015064*cos(3.12148038350 + 16496.6052136859*$t);
$X0 += 0.00000012969*cos(6.06491705231 + 7633.1870771337*$t);
$X0 += 0.00000014403*cos(1.43725922780 + 20426.8149099055*$t);
$X0 += 0.00000013311*cos(3.60732173221 + 12139.7973265903*$t);
$X0 += 0.00000013645*cos(5.14981984839 + 13368.2164485901*$t);
$X0 += 0.00000011583*cos(5.46063496654 + 5331.6012612243*$t);
$X0 += 0.00000011405*cos(4.40016025355 + 529.44714761109*$t);
$X0 += 0.00000015057*cos(5.21434071429 + 7084.6529636317*$t);
$X0 += 0.00000014330*cos(6.02775140319 + 7342.7015976641*$t);
$X0 += 0.00000012375*cos(3.10941922715 + 6279.72923882311*$t);
$X0 += 0.00000012366*cos(3.53911446993 + 6286.9100961267*$t);
$X0 += 0.00000010016*cos(2.24542867964 + 397.9051859247*$t);
$X0 += 0.00000012435*cos(1.06626484546 + 15110.7099373497*$t);
$X0 += 0.00000009513*cos(1.19056065248 + 7235.0380737255*$t);
$X0 += 0.00000010997*cos(2.19198404583 + 10989.0519750185*$t);
$X0 += 0.00000011583*cos(4.05250824543 + 5729.7502646325*$t);
$X0 += 0.00000009034*cos(5.42875830514 + 9623.9320941747*$t);
$X0 += 0.00000011842*cos(4.16957446176 + 15721.0826023619*$t);
$X0 += 0.00000008869*cos(5.04690919891 + 6148.2545874395*$t);
$X0 += 0.00000008614*cos(1.60161199451 + 6418.38474751031*$t);
$X0 += 0.00000010312*cos(2.59789642414 + 6836.8890703173*$t);
$X0 += 0.00000008411*cos(2.44368872285 + 14712.5609339415*$t);
$X0 += 0.00000007911*cos(3.15428722892 + 2119.00767786191*$t);
$X0 += 0.00000010379*cos(4.81870974023 + 1349.62359217529*$t);
$X0 += 0.00000010374*cos(2.40569215505 + 5486.53402569149*$t);
$X0 += 0.00000010480*cos(2.95288921695 + 5999.4603486097*$t);
$X0 += 0.00000007404*cos(5.41419049870 + 6040.5910635009*$t);
$X0 += 0.00000007357*cos(3.83057351958 + 5088.3850222833*$t);
$X0 += 0.00000009820*cos(3.69556241034 + 6567.1789863401*$t);
$X0 += 0.00000007018*cos(1.23420241153 + 6526.04827144891*$t);
$X0 += 0.00000009668*cos(1.92238869394 + 21228.1482060623*$t);
$X0 += 0.00000007545*cos(1.23604547808 + 12540.0971976665*$t);
$X0 += 0.00000007202*cos(5.88391537700 + 6245.2919948391*$t);
$X0 += 0.00000007144*cos(0.76464656573 + 6321.3473401107*$t);
$X0 += 0.00000008883*cos(3.89630774866 + 5642.93474619389*$t);
$X0 += 0.00000006626*cos(0.70123567856 + 5327.7199258663*$t);
$X0 += 0.00000007015*cos(4.13622360700 + 7860.17557495569*$t);
$X0 += 0.00000006159*cos(0.94592300466 + 12964.5445208745*$t);
$X0 += 0.00000007413*cos(5.03498725246 + 23543.4743221653*$t);
$X0 += 0.00000006355*cos(5.03541099132 + 1990.9888345245*$t);
$X0 += 0.00000007286*cos(3.58219614228 + 537.0483295789*$t);
$X0 += 0.00000006314*cos(6.22485628824 + 951.4745887671*$t);
$X0 += 0.00000006257*cos(4.23208117686 + 4690.7236538421*$t);
$X0 += 0.00000006484*cos(3.20813291319 + 16730.70750707931*$t);
$X0 += 0.00000005803*cos(6.09476150956 + 955.3559241251*$t);
$X0 += 0.00000006391*cos(3.97601526750 + 24073.1652872599*$t);
$X0 += 0.00000007530*cos(0.20298795021 + 10973.7995038335*$t);
$X0 += 0.00000006921*cos(0.69969701816 + 522.8212355773*$t);
$X0 += 0.00000007626*cos(4.29336813013 + 22004.1584523533*$t);
$X0 += 0.00000007531*cos(3.51464444079 + 18422.8731765817*$t);
$X0 += 0.00000006902*cos(2.75534627331 + 155.17658195069*$t);
$X0 += 0.00000005434*cos(5.94625981048 + 7238.9194090835*$t);
$X0 += 0.00000006223*cos(2.24396249102 + 18451.3223640495*$t);
$X0 += 0.00000007296*cos(5.98982040270 + 16730.21987211229*$t);
$X0 += 0.00000005833*cos(2.32930728499 + 640.1411037975*$t);
$X0 += 0.00000007171*cos(6.14759594277 + 3929.96587873609*$t);
$X0 += 0.00000006251*cos(2.19374266424 + 6277.7967431675*$t);
$X0 += 0.00000006251*cos(4.45479090841 + 6288.8425917823*$t);
$X0 += 0.00000005683*cos(3.49552871951 + 1551.2890401315*$t);
$X0 += 0.00000006383*cos(0.64667497225 + 5216.33655531789*$t);
$X0 += 0.00000006194*cos(3.56522608256 + 5230.5636493195*$t);
$X0 += 0.00000005036*cos(3.83694551305 + 14314.4119305333*$t);
$X0 += 0.00000006774*cos(1.99358309023 + 102.84895673509*$t);
$X0 += 0.00000006224*cos(0.35231413534 + 11014.8626598513*$t);
$X0 += 0.00000004621*cos(1.34668136864 + 553.32558535889*$t);
$X0 += 0.00000006293*cos(2.32035231613 + 5650.5359281617*$t);
$X0 += 0.00000006297*cos(4.40170593853 + 26088.1469590577*$t);
$X0 += 0.00000005186*cos(0.71187314766 + 77714.01528560399*$t);
$X0 += 0.00000006196*cos(2.58705857336 + 84672.23202702119*$t);
$X0 += 0.00000006160*cos(4.78250009298 + 239424.63407183639*$t);
$X0 += 0.00000005414*cos(2.99961957880 + 6180.2268932563*$t);
$X0 += 0.00000005413*cos(3.65415218952 + 6386.4124416935*$t);
$X0 += 0.00000004863*cos(3.76722359858 + 90280.16698558679*$t);
$X0 += 0.00000005711*cos(4.32712250291 + 6916.1034067881*$t);
$X0 += 0.00000005150*cos(4.10583483822 + 1577.5873599313*$t);
$X0 += 0.00000004269*cos(2.38358764863 + 7875.91568110771*$t);
$X0 += 0.00000004017*cos(3.78580903100 + 6254.8704800071*$t);
$X0 += 0.00000004069*cos(2.42056660765 + 3634.37720703489*$t);
$X0 += 0.00000003993*cos(2.86272128776 + 6311.7688549427*$t);
$X0 += 0.00000004016*cos(5.24041079205 + 4690.23601887509*$t);
$X0 += 0.00000005290*cos(3.34482936009 + 25158.3579022819*$t);
$X0 += 0.00000004831*cos(2.83916520281 + 5760.7422493811*$t);
$X0 += 0.00000003487*cos(3.51068129706 + 10447.6316570879*$t);
$X0 += 0.00000004120*cos(3.29656037233 + 6709.91785835091*$t);
$X0 += 0.00000004410*cos(3.80589939396 + 6805.89708556871*$t);
$X0 += 0.00000004023*cos(6.22474978871 + 4731.7868098599*$t);
$X0 += 0.00000003980*cos(3.31931976159 + 5856.7214765989*$t);
$X0 += 0.00000003173*cos(5.19128151293 + 1066.7392946735*$t);
$X0 += 0.00000003293*cos(4.01637480858 + 9917.45305702629*$t);
$X0 += 0.00000002935*cos(3.67590980046 + 12592.6938372661*$t);
$X0 += 0.00000002979*cos(6.20067573402 + 12566.4628277691*$t);
$X0 += 0.00000003980*cos(1.19681754169 + 13341.9181287903*$t);
$X0 += 0.00000003892*cos(5.52571426134 + 75.0254160508*$t);
$X0 += 0.00000003042*cos(3.19425693799 + 18053.1733606413*$t);
$X0 += 0.00000003608*cos(5.60952778146 + 6208.5380689076*$t);
$X0 += 0.00000003721*cos(5.22104546686 + 5966.9277978183*$t);
$X0 += 0.00000003581*cos(1.03995231220 + 6358.1012660422*$t);
$X0 += 0.00000002880*cos(1.61225556126 + 10575.6505004253*$t);
$X0 += 0.00000002806*cos(4.21551614220 + 5863.8350235997*$t);
$X0 += 0.00000003626*cos(1.42632163253 + 6599.7115371315*$t);
$X0 += 0.00000002794*cos(5.69269191706 + 8030.8484455749*$t);
$X0 += 0.00000002729*cos(4.17319557124 + 3.76693583251*$t);
$X0 += 0.00000003625*cos(3.00192313835 + 6020.2357441021*$t);
$X0 += 0.00000003206*cos(2.15397091751 + 11506.52595231009*$t);
$X0 += 0.00000003556*cos(4.28947576556 + 8428.9974489831*$t);
$X0 += 0.00000002856*cos(3.33625143564 + 12721.8159169005*$t);
$X0 += 0.00000002611*cos(2.43261867894 + 6702.8043113501*$t);
$X0 += 0.00000002535*cos(1.58310702384 + 31415.6230674405*$t);
$X0 += 0.00000003520*cos(5.37986371510 + 250570.91967470259*$t);
$X0 += 0.00000003434*cos(3.64656923781 + 6546.4035908477*$t);
$X0 += 0.00000002572*cos(4.79831420582 + 5884.68302909969*$t);
$X0 += 0.00000002647*cos(3.81972272861 + 2352.6223362883*$t);
$X0 += 0.00000003026*cos(5.24078074980 + 13916.2629271251*$t);
$X0 += 0.00000002378*cos(3.62833713669 + 2389.1378379327*$t);
$X0 += 0.00000002979*cos(0.36159339669 + 12566.32820716351*$t);
$X0 += 0.00000003082*cos(1.77514222265 + 14945.0723560709*$t);
$X0 += 0.00000002716*cos(3.06935389211 + 12029.5910053709*$t);
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$X0 += 0.00000000043*cos(4.69793524808 + 7322.34627826531*$t);
$X0 += 0.00000000041*cos(3.56154893542 + 664.99986261351*$t);
$X0 += 0.00000000042*cos(1.54738888492 + 5641.9544251257*$t);
$X0 += 0.00000000044*cos(1.44765859641 + 6425.4982945111*$t);
$X0 += 0.00000000044*cos(5.20087497624 + 6141.1410404387*$t);
$X0 += 0.00000000039*cos(0.38205897719 + 22594.2987131955*$t);
$X0 += 0.00000000040*cos(5.88641926833 + 20894.53186172529*$t);
$X0 += 0.00000000044*cos(5.28307931868 + 5540.3296069423*$t);
$X0 += 0.00000000050*cos(5.69294803866 + 17782.48825530069*$t);
$X0 += 0.00000000054*cos(4.69164296803 + 6006.2846737335*$t);
$X0 += 0.00000000054*cos(1.95689060462 + 6560.3546612163*$t);
$X0 += 0.00000000045*cos(5.54499872381 + 142861.14741877468*$t);
$X0 += 0.00000000047*cos(1.12158335918 + 24499.7634781359*$t);
$X0 += 0.00000000043*cos(1.36615498859 + 7026.3097280075*$t);
$X0 += 0.00000000047*cos(1.95434456607 + 955.8435590921*$t);
$X0 += 0.00000000047*cos(4.50829221159 + 24485.5363841343*$t);
$X0 += 0.00000000040*cos(2.60727518415 + 9388.2497268987*$t);
$X0 += 0.00000000043*cos(5.81439105801 + 6359.5857387505*$t);
$X0 += 0.00000000042*cos(3.96208965107 + 8635.69818627969*$t);
$X0 += 0.00000000051*cos(2.46325624829 + 27831.79440179969*$t);
$X0 += 0.00000000042*cos(1.94770311943 + 6334.60000533731*$t);
$X0 += 0.00000000042*cos(4.70083045322 + 6232.03932961249*$t);
$X0 += 0.00000000052*cos(3.53311914292 + 11905.1625906853*$t);
$X0 += 0.00000000040*cos(1.50948151820 + 7076.0945559423*$t);
$X0 += 0.00000000040*cos(0.29378456988 + 5444.3503797245*$t);
$X0 += 0.00000000040*cos(0.07156369559 + 7122.2889552253*$t);
$X0 += 0.00000000038*cos(2.24525725009 + 44933.4931736739*$t);
$X0 += 0.00000000037*cos(0.27418012894 + 5715.6010297445*$t);
$X0 += 0.00000000037*cos(0.09116813653 + 6851.0383052053*$t);
$X0 += 0.00000000042*cos(0.79913949254 + 36147.6536947839*$t);
$X0 += 0.00000000042*cos(2.85822305358 + 6238.1784478383*$t);
$X0 += 0.00000000042*cos(3.79031051907 + 6328.4608871115*$t);
$X0 += 0.00000000040*cos(3.64347872660 + 3214.8925631597*$t);
$X0 += 0.00000000043*cos(0.65521409425 + 23141.3145654411*$t);
$X0 += 0.00000000041*cos(3.95515629208 + 19804.5834740993*$t);
$X0 += 0.00000000038*cos(2.90982798521 + 20.11150191529*$t);
$X0 += 0.00000000050*cos(1.62788860301 + 84334.66158130829*$t);
$X0 += 0.00000000050*cos(2.84763289309 + 60284.16619777939*$t);
return $X0;
}
function Earth_X1($t) // 600 terms of order 1
{
$X1 = 0.00154550744*cos(0.64605836878 + 0.2438174835*$t);
$X1 += 0.00051503383*cos(6.00263199393 + 12566.3955174663*$t);
$X1 += 0.00001290763*cos(5.95941652859 + 18849.4713674577*$t);
$X1 += 0.00000702576*cos(1.75347943445 + 6283.3196674749*$t);
$X1 += 0.00000430422*cos(2.45216492471 + 6282.83203250789*$t);
$X1 += 0.00000212689*cos(1.73380190045 + 6279.7965491259*$t);
$X1 += 0.00000212524*cos(4.91484799365 + 6286.84278582391*$t);
$X1 += 0.00000062308*cos(0.36193297710 + 4705.9761250271*$t);
$X1 += 0.00000059808*cos(3.81187956678 + 6257.0213476751*$t);
$X1 += 0.00000059474*cos(2.83659652893 + 6309.61798727471*$t);
$X1 += 0.00000048914*cos(5.21332670904 + 775.7664288075*$t);
$X1 += 0.00000042814*cos(0.43864033644 + 1059.6257476727*$t);
$X1 += 0.00000046457*cos(0.01089905463 + 7860.6632099227*$t);
$X1 += 0.00000036653*cos(2.19635713914 + 5753.6287023803*$t);
$X1 += 0.00000035649*cos(1.44752011203 + 5885.1706640667*$t);
$X1 += 0.00000035362*cos(4.47215447256 + 6813.0106325695*$t);
$X1 += 0.00000032151*cos(5.19677261546 + 6681.46867088311*$t);
$X1 += 0.00000028763*cos(5.91618988907 + 25132.5472174491*$t);
$X1 += 0.00000028447*cos(1.14976229491 + 6127.8992680407*$t);
$X1 += 0.00000027537*cos(5.49920443604 + 6438.7400669091*$t);
$X1 += 0.00000024819*cos(2.92230738957 + 5487.0216606585*$t);
$X1 += 0.00000020615*cos(3.71821460067 + 7079.61767429131*$t);
$X1 += 0.00000019621*cos(2.88650825392 + 5507.7970561509*$t);
$X1 += 0.00000018378*cos(1.46521342874 + 11790.8729061423*$t);
$X1 += 0.00000016494*cos(6.21543454587 + 11507.0135872771*$t);
$X1 += 0.00000016756*cos(3.81938434057 + 7058.8422787989*$t);
$X1 += 0.00000014558*cos(5.97530104893 + 6290.4332144757*$t);
$X1 += 0.00000014404*cos(0.68122522191 + 6276.2061204741*$t);
$X1 += 0.00000014052*cos(1.45747121073 + 796.5418242999*$t);
$X1 += 0.00000012261*cos(4.15789187748 + 4693.75913722409*$t);
$X1 += 0.00000012758*cos(0.34831751321 + 7.3573644843*$t);
$X1 += 0.00000010086*cos(3.29242550455 + 3739.0052475915*$t);
$X1 += 0.00000009469*cos(4.63920457850 + 6070.0205720369*$t);
$X1 += 0.00000010425*cos(2.38242547117 + 6284.2999885431*$t);
$X1 += 0.00000010425*cos(4.26610810148 + 6282.3393464067*$t);
$X1 += 0.00000009570*cos(1.89427100067 + 4137.1542509997*$t);
$X1 += 0.00000009044*cos(2.00972967096 + 6496.6187629129*$t);
$X1 += 0.00000008544*cos(0.05731253621 + 1194.6908277081*$t);
$X1 += 0.00000008214*cos(1.25401494002 + 1589.3167127673*$t);
$X1 += 0.00000006157*cos(3.35676469316 + 8827.6340873583*$t);
$X1 += 0.00000006271*cos(4.75475820102 + 8429.4850839501*$t);
$X1 += 0.00000005524*cos(5.36941014190 + 4933.4522578161*$t);
$X1 += 0.00000007314*cos(0.49102526454 + 4535.3032544079*$t);
$X1 += 0.00000005157*cos(5.14965163127 + 11770.0975106499*$t);
$X1 += 0.00000006749*cos(4.32513020462 + 5088.8726572503*$t);
$X1 += 0.00000004853*cos(0.62462823219 + 6040.5910635009*$t);
$X1 += 0.00000005304*cos(5.64244320178 + 3154.4432674121*$t);
$X1 += 0.00000004985*cos(4.62777616911 + 12569.91863581531*$t);
$X1 += 0.00000004709*cos(3.96386608147 + 5331.6012612243*$t);
$X1 += 0.00000004601*cos(6.02376124126 + 6526.04827144891*$t);
$X1 += 0.00000004201*cos(1.28125193997 + 7633.1870771337*$t);
$X1 += 0.00000005607*cos(2.55800509408 + 5729.7502646325*$t);
$X1 += 0.00000004257*cos(4.12450123624 + 3930.4535137031*$t);
$X1 += 0.00000004394*cos(0.04709285339 + 12559.2819704655*$t);
$X1 += 0.00000003870*cos(2.68681123019 + 7235.0380737255*$t);
$X1 += 0.00000005154*cos(6.15930214427 + 8031.3360805419*$t);
$X1 += 0.00000005036*cos(4.09009014859 + 6836.8890703173*$t);
$X1 += 0.00000005076*cos(2.30606090748 + 7477.7666776995*$t);
$X1 += 0.00000003593*cos(2.40570544354 + 12565.9078824993*$t);
$X1 += 0.00000003384*cos(5.40354177904 + 10977.32262218251*$t);
$X1 += 0.00000003371*cos(0.28961103245 + 11371.9485072417*$t);
$X1 += 0.00000003536*cos(3.73353119602 + 4164.0681721295*$t);
$X1 += 0.00000004292*cos(4.93786086114 + 1592.8398311163*$t);
$X1 += 0.00000003407*cos(2.40599273330 + 3128.6325825793*$t);
$X1 += 0.00000003152*cos(1.73356525688 + 5223.93773728571*$t);
$X1 += 0.00000002883*cos(4.92077247219 + 1747.7725955835*$t);
$X1 += 0.00000002751*cos(5.24449444697 + 7342.7015976641*$t);
$X1 += 0.00000003323*cos(1.91880015934 + 801.5771136403*$t);
$X1 += 0.00000002999*cos(2.25355241223 + 8636.18582124671*$t);
$X1 += 0.00000002496*cos(3.52078273708 + 2145.92159899169*$t);
$X1 += 0.00000003358*cos(4.25271343539 + 155.17658195069*$t);
$X1 += 0.00000002297*cos(4.53559364224 + 17260.3984721739*$t);
$X1 += 0.00000002047*cos(3.53660263792 + 1990.9888345245*$t);
$X1 += 0.00000002778*cos(1.46152428305 + 5481.4987363511*$t);
$X1 += 0.00000002025*cos(1.44003078455 + 951.4745887671*$t);
$X1 += 0.00000002663*cos(5.71398175957 + 26.0545023163*$t);
$X1 += 0.00000002009*cos(5.73390835065 + 4690.7236538421*$t);
$X1 += 0.00000002148*cos(1.89688144273 + 537.0483295789*$t);
$X1 += 0.00000001853*cos(2.84762029989 + 553.32558535889*$t);
$X1 += 0.00000002478*cos(0.03933370984 + 1349.62359217529*$t);
$X1 += 0.00000002023*cos(2.39095052485 + 522.8212355773*$t);
$X1 += 0.00000001735*cos(2.91944410412 + 529.44714761109*$t);
$X1 += 0.00000002417*cos(5.16772880951 + 7085.1405985987*$t);
$X1 += 0.00000001809*cos(0.78457177103 + 397.9051859247*$t);
$X1 += 0.00000001893*cos(4.22746619412 + 9438.0067523705*$t);
$X1 += 0.00000001708*cos(0.29122424525 + 10989.0519750185*$t);
$X1 += 0.00000001898*cos(2.34007370780 + 5216.33655531789*$t);
$X1 += 0.00000001820*cos(1.87728974480 + 5230.5636493195*$t);
$X1 += 0.00000001541*cos(1.10077450497 + 426.8420083595*$t);
$X1 += 0.00000001555*cos(3.67004127739 + 13096.0864825609*$t);
$X1 += 0.00000001779*cos(1.80817581905 + 12562.8723991173*$t);
$X1 += 0.00000001448*cos(0.18764842398 + 5753.14106741329*$t);
$X1 += 0.00000001450*cos(0.99962470222 + 6262.96434807611*$t);
$X1 += 0.00000001450*cos(5.64890887043 + 6303.6749868737*$t);
$X1 += 0.00000001822*cos(1.70526332053 + 10973.7995038335*$t);
$X1 += 0.00000001372*cos(0.89281758077 + 7875.91568110771*$t);
$X1 += 0.00000001375*cos(0.76961577554 + 7084.6529636317*$t);
$X1 += 0.00000001400*cos(4.85224030747 + 12721.8159169005*$t);
$X1 += 0.00000001247*cos(1.86305212941 + 2119.00767786191*$t);
$X1 += 0.00000001231*cos(4.10244270612 + 18319.7804023631*$t);
$X1 += 0.00000001141*cos(3.49241515175 + 1066.7392946735*$t);
$X1 += 0.00000001138*cos(2.80935582144 + 2942.7072407751*$t);
$X1 += 0.00000001047*cos(6.02902034733 + 5642.93474619389*$t);
$X1 += 0.00000001058*cos(3.76081315695 + 242.97242145751*$t);
$X1 += 0.00000001025*cos(5.32138364615 + 10447.14402212089*$t);
$X1 += 0.00000000973*cos(0.24159402695 + 640.1411037975*$t);
$X1 += 0.00000001114*cos(5.94057908115 + 15721.0826023619*$t);
$X1 += 0.00000000963*cos(2.13180404708 + 2389.1378379327*$t);
$X1 += 0.00000000941*cos(5.78706319005 + 20426.8149099055*$t);
$X1 += 0.00000001068*cos(0.37393702270 + 529.9347825781*$t);
$X1 += 0.00000000929*cos(3.11135132378 + 10575.6505004253*$t);
$X1 += 0.00000000899*cos(1.07875107899 + 16496.6052136859*$t);
$X1 += 0.00000000889*cos(0.29953586851 + 6277.7967431675*$t);
$X1 += 0.00000000889*cos(0.06581239696 + 6288.8425917823*$t);
$X1 += 0.00000001018*cos(4.23379398746 + 12540.0971976665*$t);
$X1 += 0.00000001060*cos(1.05626464973 + 5760.7422493811*$t);
$X1 += 0.00000001017*cos(5.59172649862 + 6805.89708556871*$t);
$X1 += 0.00000000797*cos(5.36416276600 + 14314.4119305333*$t);
$X1 += 0.00000000795*cos(1.67821896162 + 6286.6060248927*$t);
$X1 += 0.00000000795*cos(4.97031461103 + 6280.0333100571*$t);
$X1 += 0.00000000800*cos(4.75445763497 + 12029.5910053709*$t);
$X1 += 0.00000000719*cos(3.86746073982 + 9623.9320941747*$t);
$X1 += 0.00000000698*cos(0.23124353834 + 6148.2545874395*$t);
$X1 += 0.00000000686*cos(5.36448356218 + 5856.7214765989*$t);
$X1 += 0.00000000673*cos(5.56184807840 + 12964.5445208745*$t);
$X1 += 0.00000000902*cos(2.26778049127 + 13368.2164485901*$t);
$X1 += 0.00000000678*cos(0.13408295783 + 6418.38474751031*$t);
$X1 += 0.00000000671*cos(1.28940504615 + 6709.91785835091*$t);
$X1 += 0.00000000744*cos(4.25820705300 + 12043.8180993725*$t);
$X1 += 0.00000000706*cos(4.09030374624 + 16730.70750707931*$t);
$X1 += 0.00000000661*cos(3.99296008106 + 14712.5609339415*$t);
$X1 += 0.00000000633*cos(0.86914955896 + 4292.5746504339*$t);
$X1 += 0.00000000621*cos(3.31200729066 + 13119.9649203087*$t);
$X1 += 0.00000000638*cos(0.47109166303 + 4690.23601887509*$t);
$X1 += 0.00000000625*cos(1.88693051693 + 13518.1139237169*$t);
$X1 += 0.00000000637*cos(6.16733887432 + 5746.5151553795*$t);
$X1 += 0.00000000628*cos(1.85369027207 + 4686.6455902233*$t);
$X1 += 0.00000000653*cos(4.28657823528 + 3929.96587873609*$t);
$X1 += 0.00000000578*cos(5.33616352365 + 5088.3850222833*$t);
$X1 += 0.00000000563*cos(4.82044552939 + 10447.6316570879*$t);
$X1 += 0.00000000610*cos(0.48716946879 + 6820.1241795703*$t);
$X1 += 0.00000000666*cos(3.30009380787 + 3634.37720703489*$t);
$X1 += 0.00000000720*cos(0.47572131456 + 13916.2629271251*$t);
$X1 += 0.00000000620*cos(5.87390167695 + 31415.6230674405*$t);
$X1 += 0.00000000553*cos(4.28779208332 + 6259.44122972711*$t);
$X1 += 0.00000000553*cos(2.36074148933 + 6307.1981052227*$t);
$X1 += 0.00000000523*cos(0.75768878632 + 14143.7390599141*$t);
$X1 += 0.00000000524*cos(5.54806074141 + 12139.7973265903*$t);
$X1 += 0.00000000569*cos(0.12658241682 + 12036.7045523717*$t);
$X1 += 0.00000000514*cos(2.30528734098 + 4700.87268422489*$t);
$X1 += 0.00000000563*cos(2.21509710432 + 11014.8626598513*$t);
$X1 += 0.00000000495*cos(3.58067034949 + 13362.6935242827*$t);
$X1 += 0.00000000481*cos(2.50655660751 + 6279.4383321169*$t);
$X1 += 0.00000000481*cos(4.14197696514 + 6287.2010028329*$t);
$X1 += 0.00000000466*cos(4.51385713822 + 10177.5014970171*$t);
$X1 += 0.00000000440*cos(0.45716811540 + 1577.5873599313*$t);
$X1 += 0.00000000437*cos(3.18132586326 + 11499.9000402763*$t);
$X1 += 0.00000000452*cos(5.55409870988 + 12573.5090644671*$t);
$X1 += 0.00000000499*cos(1.08746970886 + 12410.9751180321*$t);
$X1 += 0.00000000440*cos(2.15051971988 + 24073.1652872599*$t);
$X1 += 0.00000000587*cos(4.71917094180 + 6.86972951729*$t);
$X1 += 0.00000000388*cos(2.04118602600 + 7860.17557495569*$t);
$X1 += 0.00000000398*cos(5.77147994683 + 8274.0646845159*$t);
$X1 += 0.00000000423*cos(1.16599451585 + 4694.2467721911*$t);
$X1 += 0.00000000530*cos(3.00672799320 + 12592.6938372661*$t);
$X1 += 0.00000000379*cos(2.02388854283 + 6180.2268932563*$t);
$X1 += 0.00000000379*cos(4.62464502982 + 6386.4124416935*$t);
$X1 += 0.00000000377*cos(5.90352173005 + 7872.39256275871*$t);
$X1 += 0.00000000419*cos(5.62219874401 + 5327.7199258663*$t);
$X1 += 0.00000000383*cos(6.24432820927 + 6247.2918007975*$t);
$X1 += 0.00000000383*cos(0.40420536338 + 6319.34753415231*$t);
$X1 += 0.00000000375*cos(5.62315844522 + 2352.6223362883*$t);
$X1 += 0.00000000457*cos(4.19200440747 + 6077.1341190377*$t);
$X1 += 0.00000000457*cos(2.45652916518 + 6489.5052159121*$t);
$X1 += 0.00000000481*cos(1.89483272077 + 4292.0870154669*$t);
$X1 += 0.00000000344*cos(0.28668049892 + 18451.3223640495*$t);
$X1 += 0.00000000453*cos(0.72577236980 + 2787.2868413409*$t);
$X1 += 0.00000000364*cos(4.39782645564 + 6245.2919948391*$t);
$X1 += 0.00000000364*cos(2.25070711701 + 6321.3473401107*$t);
$X1 += 0.00000000327*cos(2.71208539186 + 12323.6669134923*$t);
$X1 += 0.00000000358*cos(4.87210297876 + 9917.45305702629*$t);
$X1 += 0.00000000342*cos(0.54833716779 + 6262.5442719825*$t);
$X1 += 0.00000000342*cos(6.10019640486 + 6304.0950629673*$t);
$X1 += 0.00000000318*cos(0.13364568371 + 11926.4982311523*$t);
$X1 += 0.00000000320*cos(2.70295484544 + 77714.01528560399*$t);
$X1 += 0.00000000354*cos(1.02467818407 + 7238.9194090835*$t);
$X1 += 0.00000000318*cos(5.32503015719 + 6254.8704800071*$t);
$X1 += 0.00000000318*cos(1.32350341546 + 6311.7688549427*$t);
$X1 += 0.00000000304*cos(2.00970548291 + 12779.6946129043*$t);
$X1 += 0.00000000343*cos(3.71302827314 + 6298.57213865991*$t);
$X1 += 0.00000000343*cos(2.93550529951 + 6268.0671962899*$t);
$X1 += 0.00000000359*cos(4.09955266779 + 1052.51220067191*$t);
$X1 += 0.00000000398*cos(0.12298117861 + 1551.2890401315*$t);
$X1 += 0.00000000306*cos(2.58873546625 + 5863.8350235997*$t);
$X1 += 0.00000000300*cos(1.77608786075 + 90280.16698558679*$t);
$X1 += 0.00000000307*cos(3.29263568042 + 3893.93801205869*$t);
$X1 += 0.00000000297*cos(0.51221148619 + 5429.63565075589*$t);
$X1 += 0.00000000365*cos(2.74542548477 + 10022.0810975829*$t);
$X1 += 0.00000000336*cos(2.72364909606 + 17782.9758902677*$t);
$X1 += 0.00000000295*cos(4.05850212848 + 6702.8043113501*$t);
$X1 += 0.00000000288*cos(2.18795828306 + 18073.9487561337*$t);
$X1 += 0.00000000287*cos(3.33776996109 + 1577.0997249643*$t);
$X1 += 0.00000000378*cos(0.39946174567 + 2353.1099712553*$t);
$X1 += 0.00000000289*cos(3.04361347297 + 213.5429129215*$t);
$X1 += 0.00000000347*cos(0.72838501040 + 5223.4501023187*$t);
$X1 += 0.00000000321*cos(2.23787969105 + 17797.2029842693*$t);
$X1 += 0.00000000289*cos(5.30650717041 + 220.6564599223*$t);
$X1 += 0.00000000260*cos(1.04284839158 + 955.3559241251*$t);
$X1 += 0.00000000268*cos(3.62847841862 + 14945.0723560709*$t);
$X1 += 0.00000000242*cos(4.34386674771 + 2544.5582373669*$t);
$X1 += 0.00000000245*cos(2.31719119888 + 7632.6994421667*$t);
$X1 += 0.00000000234*cos(4.07393437960 + 1596.43025976811*$t);
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$X1 += 0.00000000047*cos(1.64189885412 + 6040.10342853389*$t);
$X1 += 0.00000000034*cos(5.26052334707 + 6418.9449924849*$t);
$X1 += 0.00000000034*cos(1.38801022558 + 6147.69434246491*$t);
$X1 += 0.00000000034*cos(2.09927479760 + 9380.71585523369*$t);
$X1 += 0.00000000036*cos(5.01642644412 + 7238.4317741165*$t);
$X1 += 0.00000000034*cos(1.97967235505 + 17272.1278250099*$t);
$X1 += 0.00000000037*cos(2.80234472663 + 58953.3892607775*$t);
$X1 += 0.00000000034*cos(1.90506635542 + 29026.7290469913*$t);
$X1 += 0.00000000033*cos(2.30422309015 + 12721.32828193349*$t);
$X1 += 0.00000000035*cos(3.20661909223 + 7322.34627826531*$t);
$X1 += 0.00000000044*cos(2.79016934175 + 3981.73385156551*$t);
$X1 += 0.00000000033*cos(2.02741588975 + 19804.5834740993*$t);
$X1 += 0.00000000033*cos(4.13127522861 + 173567.08125514039*$t);
$X1 += 0.00000000033*cos(4.59578048276 + 205.9417309537*$t);
$X1 += 0.00000000033*cos(3.87810188817 + 23013.29572210369*$t);
$X1 += 0.00000000034*cos(0.56182222293 + 49515.1386909235*$t);
$X1 += 0.00000000034*cos(4.95130100456 + 38500.5198485557*$t);
$X1 += 0.00000000032*cos(4.38300866562 + 17686.9966630499*$t);
$X1 += 0.00000000036*cos(0.10343586811 + 5641.9544251257*$t);
$X1 += 0.00000000032*cos(4.48170445266 + 21228.63584102931*$t);
$X1 += 0.00000000033*cos(1.70919210465 + 34520.5531268643*$t);
$X1 += 0.00000000033*cos(4.08300924175 + 8635.69818627969*$t);
$X1 += 0.00000000031*cos(0.30962555206 + 5746.0275204125*$t);
$X1 += 0.00000000041*cos(4.09101330171 + 21202.3375212295*$t);
$X1 += 0.00000000037*cos(1.21597687953 + 7349.81514466491*$t);
$X1 += 0.00000000034*cos(0.61019544663 + 16496.11757871889*$t);
$X1 += 0.00000000032*cos(2.47223060088 + 33019.2649296881*$t);
$X1 += 0.00000000032*cos(6.25412877228 + 21150.56954840009*$t);
$X1 += 0.00000000037*cos(3.41910013684 + 29296.8592070621*$t);
$X1 += 0.00000000036*cos(3.45170661535 + 27511.2240560537*$t);
$X1 += 0.00000000035*cos(2.20855027459 + 11933.12414318609*$t);
$X1 += 0.00000000035*cos(2.69261850768 + 11918.89704918449*$t);
$X1 += 0.00000000035*cos(0.83074174405 + 29062.7569136687*$t);
$X1 += 0.00000000030*cos(2.96012497927 + 12490.1294461907*$t);
$X1 += 0.00000000032*cos(0.38688555099 + 6334.60000533731*$t);
$X1 += 0.00000000032*cos(6.26164802166 + 6232.03932961249*$t);
$X1 += 0.00000000029*cos(2.48914084100 + 419.2408263917*$t);
$X1 += 0.00000000029*cos(2.48914084100 + 419.72846135871*$t);
$X1 += 0.00000000029*cos(0.09098498823 + 16858.23871544969*$t);
$X1 += 0.00000000030*cos(4.30269873097 + 16208.13008898551*$t);
$X1 += 0.00000000029*cos(2.26254947152 + 27278.7126339243*$t);
$X1 += 0.00000000032*cos(3.16446260317 + 5017.2645538815*$t);
$X1 += 0.00000000028*cos(1.87847577782 + 24080.2788342607*$t);
$X1 += 0.00000000030*cos(2.57345584103 + 23539.9512038163*$t);
$X1 += 0.00000000029*cos(6.17121903514 + 18606.25512851669*$t);
$X1 += 0.00000000030*cos(3.16071544619 + 30665.9111409493*$t);
$X1 += 0.00000000034*cos(5.86279015300 + 6660.6932753907*$t);
$X1 += 0.00000000034*cos(0.78574341965 + 5905.94605955911*$t);
$X1 += 0.00000000038*cos(5.12222686816 + 31571.0434668747*$t);
$X1 += 0.00000000038*cos(2.95935499043 + 16061.94070863329*$t);
$X1 += 0.00000000029*cos(0.07805875622 + 23539.46356884929*$t);
$X1 += 0.00000000033*cos(1.31621330654 + 3738.51761262449*$t);
$X1 += 0.00000000028*cos(4.45185289388 + 2942.21960580809*$t);
$X1 += 0.00000000032*cos(4.32330584281 + 15110.7099373497*$t);
$X1 += 0.00000000030*cos(1.39195112722 + 55023.1795645579*$t);
$X1 += 0.00000000027*cos(0.53286078729 + 233141.55822184499*$t);
$X1 += 0.00000000030*cos(2.32405719366 + 12587.1709129587*$t);
$X1 += 0.00000000028*cos(5.54771281521 + 34911.6558935745*$t);
$X1 += 0.00000000027*cos(6.17188911074 + 1692.40948698591*$t);
$X1 += 0.00000000027*cos(4.56663555607 + 2544.07060239989*$t);
$X1 += 0.00000000027*cos(3.42500443489 + 24382.8352909579*$t);
$X1 += 0.00000000027*cos(5.99215939135 + 6205.6458970469*$t);
$X1 += 0.00000000027*cos(0.65637418130 + 6360.99343790291*$t);
$X1 += 0.00000000027*cos(0.24480889857 + 31172.8944634665*$t);
$X1 += 0.00000000026*cos(3.76734683925 + 36949.4746259077*$t);
$X1 += 0.00000000034*cos(6.02674277322 + 18053.1733606413*$t);
$X1 += 0.00000000027*cos(2.32047706036 + 32367.3414736911*$t);
$X1 += 0.00000000027*cos(1.77181133426 + 4487.57358878689*$t);
$X1 += 0.00000000028*cos(3.80331914659 + 10239.3400485273*$t);
$X1 += 0.00000000026*cos(6.01470923824 + 4796.85191144269*$t);
$X1 += 0.00000000026*cos(6.27941236443 + 6226.4212925393*$t);
$X1 += 0.00000000026*cos(0.36912120822 + 6340.2180424105*$t);
$X1 += 0.00000000029*cos(0.18788001431 + 5974.0413448191*$t);
$X1 += 0.00000000029*cos(0.17746825116 + 6592.5979901307*$t);
$X1 += 0.00000000026*cos(3.39870851542 + 19402.55313533309*$t);
$X1 += 0.00000000028*cos(2.42845493949 + 46386.7499258277*$t);
$X1 += 0.00000000032*cos(0.33223863826 + 9225.7830907665*$t);
$X1 += 0.00000000026*cos(2.54665382210 + 9910.33951002549*$t);
$X1 += 0.00000000025*cos(5.74078884001 + 15265.64270181689*$t);
$X1 += 0.00000000029*cos(5.90495655038 + 52176.0501006319*$t);
$X1 += 0.00000000027*cos(4.22338082584 + 62883.5989569971*$t);
$X1 += 0.00000000024*cos(0.55027097677 + 11617.21990849651*$t);
$X1 += 0.00000000024*cos(2.62016281496 + 5120.8449630671*$t);
$X1 += 0.00000000028*cos(3.25064295131 + 6680.98103591609*$t);
$X1 += 0.00000000024*cos(4.40689701323 + 522.3336006103*$t);
$X1 += 0.00000000025*cos(3.86362291910 + 6263.64990657511*$t);
$X1 += 0.00000000025*cos(2.78491065355 + 6302.9894283747*$t);
$X1 += 0.00000000029*cos(2.44405132476 + 23581.5019948011*$t);
$X1 += 0.00000000024*cos(0.50709291410 + 29424.8780503995*$t);
$X1 += 0.00000000028*cos(2.66240986547 + 16737.8210540801*$t);
$X1 += 0.00000000024*cos(1.98880441412 + 22743.16556203289*$t);
$X1 += 0.00000000024*cos(5.13039706771 + 22743.6531969999*$t);
$X1 += 0.00000000024*cos(5.85302121512 + 25158.8455372489*$t);
$X1 += 0.00000000025*cos(3.95115098429 + 21424.2228268199*$t);
$X1 += 0.00000000025*cos(0.80955833070 + 21424.7104617869*$t);
$X1 += 0.00000000024*cos(1.92863541994 + 14712.07329897449*$t);
$X1 += 0.00000000028*cos(4.50601984314 + 5760.25461441409*$t);
$X1 += 0.00000000024*cos(3.73455640738 + 31969.1924702829*$t);
$X1 += 0.00000000023*cos(0.62345777089 + 17893.1822114871*$t);
$X1 += 0.00000000030*cos(3.85563309519 + 8584.9054833843*$t);
$X1 += 0.00000000024*cos(3.21746306158 + 23550.5878691661*$t);
$X1 += 0.00000000023*cos(1.36063534536 + 6717.0314053517*$t);
$X1 += 0.00000000022*cos(3.99741791962 + 7445.7943718827*$t);
$X1 += 0.00000000023*cos(5.13650786055 + 5849.6079295981*$t);
$X1 += 0.00000000025*cos(0.81555419576 + 14155.4684127501*$t);
$X1 += 0.00000000023*cos(3.58569412080 + 6294.36536773881*$t);
$X1 += 0.00000000023*cos(3.06283945185 + 6272.273967211*$t);
$X1 += 0.00000000024*cos(4.24597953395 + 18208.1061251085*$t);
$X1 += 0.00000000024*cos(1.10438688036 + 18208.5937600755*$t);
$X1 += 0.00000000021*cos(5.78251945962 + 22779.6810636773*$t);
$X1 += 0.00000000029*cos(3.31448732534 + 28628.5800435831*$t);
$X1 += 0.00000000021*cos(5.13427576878 + 40879.6843221273*$t);
$X1 += 0.00000000021*cos(4.08575884387 + 30221.1760572159*$t);
$X1 += 0.00000000022*cos(1.38262024424 + 4379.8828549737*$t);
$X1 += 0.00000000022*cos(5.26591980546 + 8186.7564799761*$t);
$X1 += 0.00000000022*cos(4.52225402167 + 28760.05469496669*$t);
$X1 += 0.00000000026*cos(3.41053115091 + 18422.8731765817*$t);
$X1 += 0.00000000020*cos(0.80720267360 + 12036.21691740469*$t);
$X1 += 0.00000000020*cos(4.78724181293 + 28313.0449871775*$t);
$X1 += 0.00000000027*cos(0.67000770864 + 34513.5068901663*$t);
$X1 += 0.00000000020*cos(2.07630932980 + 34115.3578867581*$t);
$X1 += 0.00000000020*cos(1.72148703277 + 21548.7185518083*$t);
$X1 += 0.00000000020*cos(3.68576430300 + 17654.5367222661*$t);
$X1 += 0.00000000025*cos(3.53209868087 + 55798.7021758819*$t);
$X1 += 0.00000000020*cos(0.81961551511 + 20597.4877805247*$t);
$X1 += 0.00000000020*cos(2.60684350676 + 18875.76968725751*$t);
$X1 += 0.00000000022*cos(0.44774356245 + 1588.82907780029*$t);
$X1 += 0.00000000024*cos(1.20852424503 + 9411.7084325707*$t);
$X1 += 0.00000000019*cos(5.85945140949 + 536.5606946119*$t);
$X1 += 0.00000000020*cos(4.99560905506 + 6187.3404402571*$t);
$X1 += 0.00000000020*cos(1.65292451759 + 6379.2988946927*$t);
$X1 += 0.00000000022*cos(4.44471803531 + 18326.8939493639*$t);
$X1 += 0.00000000022*cos(2.18348213630 + 6233.5626420031*$t);
$X1 += 0.00000000022*cos(4.46505143635 + 6333.0766929467*$t);
$X1 += 0.00000000018*cos(2.03036294822 + 5972.4788686065*$t);
$X1 += 0.00000000018*cos(4.61817062443 + 6594.1604663433*$t);
$X1 += 0.00000000019*cos(4.28397604583 + 6948.0757126049*$t);
$X1 += 0.00000000019*cos(2.36455752682 + 5618.5636223449*$t);
$X1 += 0.00000000019*cos(0.18461366541 + 83974.07917321339*$t);
$X1 += 0.00000000019*cos(4.29574443999 + 84020.10309797739*$t);
$X1 += 0.00000000020*cos(3.84957027230 + 50316.9596220473*$t);
$X1 += 0.00000000020*cos(2.85391796921 + 9070.3626913323*$t);
return $X1*$t;
}
function Earth_X2($t) // 248 terms of order 2
{
$X2 = 0.00052911498*cos(3.32403354915 + 6283.3196674749*$t);
$X2 += 0.00006074441*cos(2.05485843872 + 0.2438174835*$t);
$X2 += 0.00002406871*cos(4.23086027149 + 12566.3955174663*$t);
$X2 += 0.00000096033*cos(4.14485769516 + 18849.4713674577*$t);
$X2 += 0.00000029888*cos(0.73436192593 + 6282.83203250789*$t);
$X2 += 0.00000014021*cos(3.21121684298 + 6279.7965491259*$t);
$X2 += 0.00000013375*cos(3.31400005464 + 6286.84278582391*$t);
$X2 += 0.00000008148*cos(2.19949162987 + 6309.61798727471*$t);
$X2 += 0.00000008195*cos(4.38954108022 + 6257.0213476751*$t);
$X2 += 0.00000008001*cos(5.91956929382 + 6127.8992680407*$t);
$X2 += 0.00000007754*cos(0.72231700953 + 6438.7400669091*$t);
$X2 += 0.00000007223*cos(5.38114271434 + 83997.09113559539*$t);
$X2 += 0.00000004616*cos(6.16703227370 + 710.1768660418*$t);
$X2 += 0.00000003060*cos(4.83964573312 + 4705.9761250271*$t);
$X2 += 0.00000003717*cos(2.45040909403 + 5507.7970561509*$t);
$X2 += 0.00000002991*cos(4.05993241608 + 25132.5472174491*$t);
$X2 += 0.00000003235*cos(4.10584554352 + 7058.8422787989*$t);
$X2 += 0.00000002393*cos(3.40776365917 + 775.7664288075*$t);
$X2 += 0.00000002034*cos(4.34141229883 + 6290.4332144757*$t);
$X2 += 0.00000002028*cos(2.28023581144 + 6276.2061204741*$t);
$X2 += 0.00000002064*cos(1.58527926677 + 7860.6632099227*$t);
$X2 += 0.00000001914*cos(4.42314112548 + 5487.0216606585*$t);
$X2 += 0.00000001770*cos(5.05862783743 + 1059.6257476727*$t);
$X2 += 0.00000001761*cos(3.37902852940 + 5753.6287023803*$t);
$X2 += 0.00000001558*cos(2.13660228192 + 7079.61767429131*$t);
$X2 += 0.00000001551*cos(2.12932375831 + 6040.5910635009*$t);
$X2 += 0.00000001436*cos(2.85243683562 + 5885.1706640667*$t);
$X2 += 0.00000001469*cos(4.51404554645 + 6526.04827144891*$t);
$X2 += 0.00000001319*cos(3.46234944603 + 6681.46867088311*$t);
$X2 += 0.00000001180*cos(2.99170595830 + 6813.0106325695*$t);
$X2 += 0.00000001337*cos(1.03982518814 + 5729.7502646325*$t);
$X2 += 0.00000001039*cos(5.82323058792 + 6282.3393464067*$t);
$X2 += 0.00000001313*cos(2.16977183919 + 529.9347825781*$t);
$X2 += 0.00000001041*cos(0.76562479642 + 6284.2999885431*$t);
$X2 += 0.00000001202*cos(5.59909179750 + 6836.8890703173*$t);
$X2 += 0.00000000904*cos(2.42848578586 + 5331.6012612243*$t);
$X2 += 0.00000000870*cos(3.83740101245 + 4933.4522578161*$t);
$X2 += 0.00000001149*cos(4.59530313333 + 167284.00540514899*$t);
$X2 += 0.00000001069*cos(5.80442130983 + 1577.0997249643*$t);
$X2 += 0.00000000772*cos(4.23369730112 + 7235.0380737255*$t);
$X2 += 0.00000000846*cos(2.93878609085 + 11790.8729061423*$t);
$X2 += 0.00000000742*cos(0.30768536261 + 4137.1542509997*$t);
$X2 += 0.00000000966*cos(3.62307276164 + 11856.462468908*$t);
$X2 += 0.00000000664*cos(2.78855764568 + 7633.1870771337*$t);
$X2 += 0.00000000662*cos(4.76048207091 + 1194.6908277081*$t);
$X2 += 0.00000000659*cos(1.23774551244 + 11507.0135872771*$t);
$X2 += 0.00000000853*cos(5.22418483353 + 4535.3032544079*$t);
$X2 += 0.00000000823*cos(5.77365627974 + 155.17658195069*$t);
$X2 += 0.00000000783*cos(5.87375907691 + 5088.8726572503*$t);
$X2 += 0.00000000785*cos(5.03738396313 + 2353.1099712553*$t);
$X2 += 0.00000000694*cos(1.93706172082 + 801.5771136403*$t);
$X2 += 0.00000000566*cos(6.00002295544 + 796.5418242999*$t);
$X2 += 0.00000000684*cos(2.68347359202 + 3128.6325825793*$t);
$X2 += 0.00000000499*cos(2.99674498554 + 12569.91863581531*$t);
$X2 += 0.00000000596*cos(1.38539217884 + 8031.3360805419*$t);
$X2 += 0.00000000486*cos(6.11316978391 + 1589.3167127673*$t);
$X2 += 0.00000000483*cos(6.25283705744 + 8429.4850839501*$t);
$X2 += 0.00000000441*cos(0.27873568624 + 6496.6187629129*$t);
$X2 += 0.00000000412*cos(5.58840963851 + 4693.75913722409*$t);
$X2 += 0.00000000561*cos(0.75091675093 + 7477.7666776995*$t);
$X2 += 0.00000000390*cos(6.20968064366 + 6070.0205720369*$t);
$X2 += 0.00000000405*cos(1.55299195368 + 3739.0052475915*$t);
$X2 += 0.00000000501*cos(3.39229516665 + 1592.8398311163*$t);
$X2 += 0.00000000392*cos(5.39455294636 + 26.0545023163*$t);
$X2 += 0.00000000369*cos(4.36331143713 + 553.32558535889*$t);
$X2 += 0.00000000483*cos(1.36538995021 + 12036.7045523717*$t);
$X2 += 0.00000000489*cos(2.13588971106 + 5223.4501023187*$t);
$X2 += 0.00000000481*cos(4.74275484789 + 10213.5293636945*$t);
$X2 += 0.00000000448*cos(0.85608336591 + 156137.71980228279*$t);
$X2 += 0.00000000321*cos(2.96911879180 + 951.4745887671*$t);
$X2 += 0.00000000320*cos(2.00218171333 + 1990.9888345245*$t);
$X2 += 0.00000000361*cos(0.59519501420 + 12565.9078824993*$t);
$X2 += 0.00000000361*cos(0.08584353459 + 12721.8159169005*$t);
$X2 += 0.00000000412*cos(5.91338851626 + 398.3928208917*$t);
$X2 += 0.00000000304*cos(0.96839213314 + 4690.7236538421*$t);
$X2 += 0.00000000356*cos(1.28855678128 + 5481.4987363511*$t);
$X2 += 0.00000000283*cos(2.23992178340 + 242.97242145751*$t);
$X2 += 0.00000000362*cos(3.88633843420 + 9438.0067523705*$t);
$X2 += 0.00000000248*cos(4.75322854174 + 8827.6340873583*$t);
$X2 += 0.00000000252*cos(1.16164987849 + 3154.4432674121*$t);
$X2 += 0.00000000257*cos(1.79452152688 + 11371.9485072417*$t);
$X2 += 0.00000000327*cos(3.02081233401 + 14143.7390599141*$t);
$X2 += 0.00000000230*cos(0.23367695814 + 1747.7725955835*$t);
$X2 += 0.00000000289*cos(5.24697142787 + 7085.1405985987*$t);
$X2 += 0.00000000297*cos(1.59965866765 + 1349.62359217529*$t);
$X2 += 0.00000000209*cos(0.27341674720 + 11770.0975106499*$t);
$X2 += 0.00000000207*cos(4.92862210539 + 4164.0681721295*$t);
$X2 += 0.00000000188*cos(5.64673454004 + 7875.91568110771*$t);
$X2 += 0.00000000189*cos(0.60545229996 + 2389.1378379327*$t);
$X2 += 0.00000000194*cos(0.41046959310 + 10977.32262218251*$t);
$X2 += 0.00000000176*cos(4.08570919572 + 7342.7015976641*$t);
$X2 += 0.00000000164*cos(2.79150408226 + 5223.93773728571*$t);
$X2 += 0.00000000205*cos(3.21370431881 + 10973.7995038335*$t);
$X2 += 0.00000000205*cos(2.25101785528 + 13368.2164485901*$t);
$X2 += 0.00000000139*cos(4.61869477858 + 10575.6505004253*$t);
$X2 += 0.00000000155*cos(5.81412821499 + 12410.9751180321*$t);
$X2 += 0.00000000152*cos(0.10500467147 + 3930.4535137031*$t);
$X2 += 0.00000000129*cos(5.52193535090 + 397.9051859247*$t);
$X2 += 0.00000000127*cos(0.96654930095 + 12592.6938372661*$t);
$X2 += 0.00000000132*cos(0.16052766322 + 8636.18582124671*$t);
$X2 += 0.00000000122*cos(4.78358483655 + 13119.9649203087*$t);
$X2 += 0.00000000163*cos(0.93280092706 + 5507.3094211839*$t);
$X2 += 0.00000000114*cos(5.70431693679 + 17260.3984721739*$t);
$X2 += 0.00000000118*cos(2.37854817453 + 4292.5746504339*$t);
$X2 += 0.00000000148*cos(5.63695738547 + 17790.08943726851*$t);
$X2 += 0.00000000123*cos(3.75785910050 + 12562.8723991173*$t);
$X2 += 0.00000000103*cos(3.36994741884 + 13518.1139237169*$t);
$X2 += 0.00000000138*cos(3.83865460083 + 12168.2465140581*$t);
$X2 += 0.00000000107*cos(4.33977826153 + 10989.0519750185*$t);
$X2 += 0.00000000104*cos(5.27997888785 + 2145.92159899169*$t);
$X2 += 0.00000000096*cos(1.97792917854 + 6283.25235717211*$t);
$X2 += 0.00000000099*cos(2.27831564394 + 13096.0864825609*$t);
$X2 += 0.00000000096*cos(1.53382620869 + 6283.3869777777*$t);
$X2 += 0.00000000084*cos(5.20596620689 + 16730.70750707931*$t);
$X2 += 0.00000000111*cos(3.96322491245 + 12540.0971976665*$t);
$X2 += 0.00000000087*cos(6.02515097465 + 10177.5014970171*$t);
$X2 += 0.00000000078*cos(4.18422621711 + 12323.6669134923*$t);
$X2 += 0.00000000076*cos(5.70862044549 + 6709.91785835091*$t);
$X2 += 0.00000000105*cos(3.53845405180 + 5642.4420600927*$t);
$X2 += 0.00000000073*cos(0.89693480363 + 5856.7214765989*$t);
$X2 += 0.00000000102*cos(0.66758153957 + 250570.91967470259*$t);
$X2 += 0.00000000070*cos(5.22505818809 + 5753.14106741329*$t);
$X2 += 0.00000000071*cos(0.56166089035 + 14314.4119305333*$t);
$X2 += 0.00000000092*cos(1.96485842296 + 13916.2629271251*$t);
$X2 += 0.00000000070*cos(2.53450052921 + 7084.6529636317*$t);
$X2 += 0.00000000091*cos(3.10960565577 + 6924.1972748571*$t);
$X2 += 0.00000000083*cos(3.98989749432 + 31415.6230674405*$t);
$X2 += 0.00000000088*cos(5.01539409795 + 71430.45180064559*$t);
$X2 += 0.00000000074*cos(1.96538390591 + 529.44714761109*$t);
$X2 += 0.00000000085*cos(5.97852929798 + 95143.37673846159*$t);
$X2 += 0.00000000061*cos(4.23114381660 + 8274.0646845159*$t);
$X2 += 0.00000000060*cos(5.52155170015 + 16496.6052136859*$t);
$X2 += 0.00000000058*cos(1.47891111226 + 5642.93474619389*$t);
$X2 += 0.00000000078*cos(2.41141378465 + 213.5429129215*$t);
$X2 += 0.00000000059*cos(4.67526538731 + 640.1411037975*$t);
$X2 += 0.00000000057*cos(2.06129454632 + 4690.23601887509*$t);
$X2 += 0.00000000056*cos(3.80170948025 + 13341.9181287903*$t);
$X2 += 0.00000000065*cos(3.38872777921 + 4731.7868098599*$t);
$X2 += 0.00000000051*cos(4.81168622601 + 3893.93801205869*$t);
$X2 += 0.00000000050*cos(4.17369676080 + 12573.5090644671*$t);
$X2 += 0.00000000050*cos(4.41669813786 + 3634.37720703489*$t);
$X2 += 0.00000000049*cos(2.27712508812 + 18319.7804023631*$t);
$X2 += 0.00000000066*cos(5.49585584500 + 2787.2868413409*$t);
$X2 += 0.00000000049*cos(1.99905022377 + 13362.6935242827*$t);
$X2 += 0.00000000048*cos(3.76233131596 + 12964.5445208745*$t);
$X2 += 0.00000000053*cos(4.12374270394 + 14919.2616712381*$t);
$X2 += 0.00000000058*cos(1.23083144160 + 1577.5873599313*$t);
$X2 += 0.00000000052*cos(1.27828874996 + 15721.0826023619*$t);
$X2 += 0.00000000061*cos(3.42876383277 + 4292.0870154669*$t);
$X2 += 0.00000000044*cos(0.31046230867 + 24073.1652872599*$t);
$X2 += 0.00000000044*cos(0.38954461131 + 10447.14402212089*$t);
$X2 += 0.00000000042*cos(4.09986255075 + 20426.8149099055*$t);
$X2 += 0.00000000059*cos(1.01599200374 + 84672.23202702119*$t);
$X2 += 0.00000000051*cos(5.38279738858 + 6370.62787201471*$t);
$X2 += 0.00000000051*cos(1.26573618407 + 6196.0114629351*$t);
$X2 += 0.00000000046*cos(0.52171400874 + 2119.00767786191*$t);
$X2 += 0.00000000041*cos(4.09327874029 + 3185.43584474911*$t);
$X2 += 0.00000000056*cos(3.27189314076 + 10976.83498721549*$t);
$X2 += 0.00000000051*cos(2.37524851068 + 9437.5191174035*$t);
$X2 += 0.00000000049*cos(3.21159567950 + 239424.63407183639*$t);
$X2 += 0.00000000036*cos(6.20393463674 + 3495.78900865049*$t);
$X2 += 0.00000000044*cos(3.69396549327 + 18139.5383188994*$t);
$X2 += 0.00000000035*cos(3.61386877088 + 3929.96587873609*$t);
$X2 += 0.00000000044*cos(1.66014811397 + 8661.9965060795*$t);
$X2 += 0.00000000046*cos(3.78615165617 + 3894.4256470257*$t);
$X2 += 0.00000000034*cos(3.81444510796 + 6262.5442719825*$t);
$X2 += 0.00000000034*cos(5.98049768477 + 6304.0950629673*$t);
$X2 += 0.00000000035*cos(3.58408872678 + 18875.2820522905*$t);
$X2 += 0.00000000035*cos(6.09075949155 + 10420.23010099111*$t);
$X2 += 0.00000000032*cos(0.62535692558 + 23013.7833570707*$t);
$X2 += 0.00000000034*cos(3.61147349841 + 7.3573644843*$t);
$X2 += 0.00000000045*cos(1.48783646485 + 3340.8562441833*$t);
$X2 += 0.00000000035*cos(0.38590076970 + 10213.0417287275*$t);
$X2 += 0.00000000031*cos(5.38472872675 + 14712.5609339415*$t);
$X2 += 0.00000000030*cos(4.39715700541 + 12809.12412144031*$t);
$X2 += 0.00000000039*cos(1.14782571257 + 9779.3524936089*$t);
$X2 += 0.00000000041*cos(5.61324415849 + 82576.73740351178*$t);
$X2 += 0.00000000031*cos(0.76672410297 + 22779.6810636773*$t);
$X2 += 0.00000000028*cos(4.07975589699 + 2942.7072407751*$t);
$X2 += 0.00000000028*cos(2.36060849192 + 5429.63565075589*$t);
$X2 += 0.00000000027*cos(4.04275590321 + 11014.8626598513*$t);
$X2 += 0.00000000027*cos(2.11023646997 + 9623.9320941747*$t);
$X2 += 0.00000000025*cos(1.72579553961 + 18209.5740811437*$t);
$X2 += 0.00000000026*cos(2.55064187749 + 9381.2034902007*$t);
$X2 += 0.00000000025*cos(2.68812943588 + 3583.5848481573*$t);
$X2 += 0.00000000030*cos(5.98905764002 + 10447.6316570879*$t);
$X2 += 0.00000000032*cos(4.08880306095 + 796.0541893329*$t);
$X2 += 0.00000000023*cos(6.09814489767 + 9917.45305702629*$t);
$X2 += 0.00000000026*cos(0.90493478768 + 12012.8261146239*$t);
$X2 += 0.00000000024*cos(1.88327707702 + 14143.2514249471*$t);
$X2 += 0.00000000023*cos(2.26727226510 + 26709.8907598969*$t);
$X2 += 0.00000000021*cos(3.86895197800 + 7632.6994421667*$t);
$X2 += 0.00000000021*cos(2.37138453193 + 17256.8753538249*$t);
$X2 += 0.00000000028*cos(1.07450535792 + 12353.0964220283*$t);
$X2 += 0.00000000022*cos(4.83463880427 + 77714.01528560399*$t);
$X2 += 0.00000000021*cos(5.98744320172 + 6993.2527160332*$t);
$X2 += 0.00000000020*cos(0.31265663265 + 6836.40143535029*$t);
$X2 += 0.00000000020*cos(5.44332565028 + 1748.2602305505*$t);
$X2 += 0.00000000026*cos(2.02675372626 + 9225.7830907665*$t);
$X2 += 0.00000000023*cos(0.80832702606 + 149854.64395229139*$t);
$X2 += 0.00000000026*cos(5.31358634432 + 2544.07060239989*$t);
$X2 += 0.00000000018*cos(2.28255799994 + 11614.6771112157*$t);
$X2 += 0.00000000020*cos(4.61413285151 + 426.8420083595*$t);
$X2 += 0.00000000019*cos(3.66100662326 + 30640.1004561165*$t);
$X2 += 0.00000000018*cos(4.77794649120 + 155.6642169177*$t);
$X2 += 0.00000000018*cos(1.89582517195 + 11926.4982311523*$t);
$X2 += 0.00000000022*cos(3.74943338657 + 17298.4261448097*$t);
$X2 += 0.00000000019*cos(3.25511318252 + 18073.46112116669*$t);
$X2 += 0.00000000020*cos(2.60030261119 + 19651.2922985815*$t);
$X2 += 0.00000000024*cos(1.57388276311 + 5856.23384163189*$t);
$X2 += 0.00000000023*cos(4.78368329384 + 72850.80553272919*$t);
$X2 += 0.00000000017*cos(3.95703430839 + 8983.0544867925*$t);
$X2 += 0.00000000016*cos(5.17069195690 + 16460.5773470085*$t);
$X2 += 0.00000000016*cos(1.20099644560 + 17259.91083720689*$t);
$X2 += 0.00000000021*cos(3.77366558760 + 16858.7263504167*$t);
$X2 += 0.00000000020*cos(0.39427566601 + 23543.4743221653*$t);
$X2 += 0.00000000021*cos(3.79445696120 + 13367.7288136231*$t);
$X2 += 0.00000000020*cos(4.04662298246 + 2146.4092339587*$t);
$X2 += 0.00000000014*cos(0.14269366851 + 22484.0923919761*$t);
$X2 += 0.00000000014*cos(4.66600220934 + 16200.52890701769*$t);
$X2 += 0.00000000015*cos(4.21847977142 + 20199.3387771165*$t);
$X2 += 0.00000000019*cos(2.81420484440 + 8672.21368792411*$t);
$X2 += 0.00000000019*cos(4.46915157584 + 18073.9487561337*$t);
$X2 += 0.00000000013*cos(4.71429939378 + 16201.0165419847*$t);
$X2 += 0.00000000017*cos(1.38925168648 + 7860.17557495569*$t);
$X2 += 0.00000000013*cos(4.69427401677 + 18451.3223640495*$t);
$X2 += 0.00000000016*cos(3.33196861521 + 5572.8989839496*$t);
$X2 += 0.00000000012*cos(2.70989366066 + 17996.2749857057*$t);
$X2 += 0.00000000012*cos(0.72221452149 + 19403.0407703001*$t);
$X2 += 0.00000000012*cos(5.53894834507 + 14945.0723560709*$t);
$X2 += 0.00000000015*cos(2.04879024946 + 12559.2819704655*$t);
$X2 += 0.00000000012*cos(4.37879205675 + 10818.3791043993*$t);
$X2 += 0.00000000015*cos(0.57625721169 + 12567.37583853451*$t);
$X2 += 0.00000000011*cos(1.78471307843 + 28767.1682419675*$t);
$X2 += 0.00000000013*cos(1.09547571668 + 90280.16698558679*$t);
$X2 += 0.00000000011*cos(5.02230424673 + 22805.4917485101*$t);
$X2 += 0.00000000011*cos(2.24605985689 + 35372.1310834599*$t);
$X2 += 0.00000000010*cos(6.26009139838 + 11506.52595231009*$t);
$X2 += 0.00000000014*cos(1.93802583909 + 21228.63584102931*$t);
$X2 += 0.00000000010*cos(0.13064402023 + 12779.6946129043*$t);
$X2 += 0.00000000010*cos(6.05309072952 + 23141.8022004081*$t);
$X2 += 0.00000000010*cos(1.18002886182 + 1350.1112271423*$t);
$X2 += 0.00000000010*cos(2.50762435685 + 10575.1628654583*$t);
$X2 += 0.00000000010*cos(2.55643759758 + 22345.5041935917*$t);
$X2 += 0.00000000010*cos(5.33273079625 + 9778.8648586419*$t);
$X2 += 0.00000000009*cos(1.49151911226 + 29826.5501721567*$t);
$X2 += 0.00000000010*cos(4.24000912367 + 23581.5019948011*$t);
$X2 += 0.00000000011*cos(0.39610887139 + 25158.8455372489*$t);
return $X2*$t*$t;
}
function Earth_X3($t) // 46 terms of order 3
{
$X3 = 0.00000232790*cos(3.40634928966 + 0.2438174835*$t);
$X3 += 0.00000076843*cos(2.52439403387 + 12566.3955174663*$t);
$X3 += 0.00000035331*cos(3.34616699853 + 6283.3196674749*$t);
$X3 += 0.00000005282*cos(2.40489818589 + 18849.4713674577*$t);
$X3 += 0.00000001631*cos(5.43859760597 + 6282.83203250789*$t);
$X3 += 0.00000001483*cos(2.22678849266 + 6438.7400669091*$t);
$X3 += 0.00000001479*cos(4.40151760084 + 6127.8992680407*$t);
$X3 += 0.00000000652*cos(4.70876083993 + 6279.7965491259*$t);
$X3 += 0.00000000656*cos(1.58695055624 + 6286.84278582391*$t);
$X3 += 0.00000000317*cos(3.00237328519 + 6526.04827144891*$t);
$X3 += 0.00000000318*cos(3.63024148359 + 6040.5910635009*$t);
$X3 += 0.00000000227*cos(2.27961613476 + 25132.5472174491*$t);
$X3 += 0.00000000201*cos(0.81376672334 + 6836.8890703173*$t);
$X3 += 0.00000000201*cos(5.80642900510 + 5729.7502646325*$t);
$X3 += 0.00000000036*cos(1.33765000112 + 12569.91863581531*$t);
$X3 += 0.00000000034*cos(1.93992455025 + 4705.9761250271*$t);
$X3 += 0.00000000033*cos(4.22745351005 + 12410.9751180321*$t);
$X3 += 0.00000000032*cos(5.38348719867 + 6257.0213476751*$t);
$X3 += 0.00000000032*cos(4.41212819179 + 6309.61798727471*$t);
$X3 += 0.00000000026*cos(0.50334838608 + 775.7664288075*$t);
$X3 += 0.00000000023*cos(2.01776542272 + 1059.6257476727*$t);
$X3 += 0.00000000025*cos(1.58405990040 + 7860.6632099227*$t);
$X3 += 0.00000000027*cos(5.17969059866 + 12565.9078824993*$t);
$X3 += 0.00000000020*cos(3.76292921295 + 5753.6287023803*$t);
$X3 += 0.00000000019*cos(3.01515389134 + 5885.1706640667*$t);
$X3 += 0.00000000019*cos(6.05056350877 + 6813.0106325695*$t);
$X3 += 0.00000000018*cos(2.29290644779 + 12721.8159169005*$t);
$X3 += 0.00000000017*cos(0.49235818139 + 6681.46867088311*$t);
$X3 += 0.00000000013*cos(4.49557806784 + 5487.0216606585*$t);
$X3 += 0.00000000011*cos(5.29141894629 + 7079.61767429131*$t);
$X3 += 0.00000000010*cos(4.46246654504 + 5507.7970561509*$t);
$X3 += 0.00000000010*cos(3.03842434664 + 11790.8729061423*$t);
$X3 += 0.00000000009*cos(1.50545167256 + 11507.0135872771*$t);
$X3 += 0.00000000011*cos(6.25880735981 + 12592.6938372661*$t);
$X3 += 0.00000000009*cos(5.39258795934 + 7058.8422787989*$t);
$X3 += 0.00000000008*cos(1.26531983919 + 6290.4332144757*$t);
$X3 += 0.00000000008*cos(2.25393064493 + 6276.2061204741*$t);
$X3 += 0.00000000008*cos(3.03070423945 + 796.5418242999*$t);
$X3 += 0.00000000007*cos(2.58386169059 + 4693.75913722409*$t);
$X3 += 0.00000000007*cos(1.92157668691 + 7.3573644843*$t);
$X3 += 0.00000000005*cos(4.86563371701 + 3739.0052475915*$t);
$X3 += 0.00000000005*cos(6.21240311845 + 6070.0205720369*$t);
$X3 += 0.00000000006*cos(3.95562930301 + 6284.2999885431*$t);
$X3 += 0.00000000006*cos(5.83931193332 + 6282.3393464067*$t);
$X3 += 0.00000000005*cos(3.46747665337 + 4137.1542509997*$t);
$X3 += 0.00000000005*cos(3.58293336989 + 6496.6187629129*$t);
return $X3*$t*$t*$t;
}
function Earth_X4($t) // 20 terms of order 4
{
$X4 = 0.00000114918*cos(0.06053023506 + 6283.3196674749*$t);
$X4 += 0.00000006817*cos(4.47624663983 + 0.2438174835*$t);
$X4 += 0.00000003158*cos(0.47910545815 + 12566.3955174663*$t);
$X4 += 0.00000000211*cos(3.72351646714 + 6438.7400669091*$t);
$X4 += 0.00000000210*cos(2.88489921647 + 6127.8992680407*$t);
$X4 += 0.00000000253*cos(0.64665875683 + 18849.4713674577*$t);
$X4 += 0.00000000073*cos(3.92376796583 + 6282.83203250789*$t);
$X4 += 0.00000000042*cos(4.60322795936 + 710.1768660418*$t);
$X4 += 0.00000000023*cos(6.04513529243 + 6279.7965491259*$t);
$X4 += 0.00000000022*cos(6.04140763882 + 6286.84278582391*$t);
$X4 += 0.00000000012*cos(0.51640078868 + 25132.5472174491*$t);
$X4 += 0.00000000009*cos(4.21008055560 + 83997.09113559539*$t);
$X4 += 0.00000000009*cos(5.19392488383 + 11856.462468908*$t);
$X4 += 0.00000000008*cos(6.16587249238 + 167284.00540514899*$t);
$X4 += 0.00000000005*cos(5.97913996910 + 6257.0213476751*$t);
$X4 += 0.00000000005*cos(3.78878463461 + 6309.61798727471*$t);
$X4 += 0.00000000005*cos(2.68915538708 + 12410.9751180321*$t);
$X4 += 0.00000000005*cos(5.56850457487 + 156137.71980228279*$t);
$X4 += 0.00000000004*cos(3.40118346072 + 12565.9078824993*$t);
$X4 += 0.00000000003*cos(5.17221494066 + 529.9347825781*$t);
return $X4*$t*$t*$t*$t;
}
function Earth_X5($t) // 7 terms of order 5
{
$X5 = 0.00000000877*cos(0.16136296068 + 6283.3196674749*$t);
$X5 += 0.00000000305*cos(5.62973274927 + 0.2438174835*$t);
$X5 += 0.00000000101*cos(4.88076699149 + 12566.3955174663*$t);
$X5 += 0.00000000025*cos(5.30593958386 + 6438.7400669091*$t);
$X5 += 0.00000000025*cos(1.27879113841 + 6127.8992680407*$t);
$X5 += 0.00000000010*cos(5.11399286577 + 18849.4713674577*$t);
$X5 += 0.00000000003*cos(2.56205735968 + 6282.83203250789*$t);
return $X5*$t*$t*$t*$t*$t;
}
function Earth_Y0($t) // 1007 terms of order 0
{
$Y0 = 0.99986069925*cos(0.18267413078 + 6283.3196674749*$t);
$Y0 += 0.02506324281*cos(3.36739796418 + 0.2438174835*$t);
$Y0 += 0.00835274807*cos(0.13953892859 + 12566.3955174663*$t);
$Y0 += 0.00010466796*cos(0.09642351540 + 18849.4713674577*$t);
$Y0 += 0.00003490608*cos(6.01453435910 + 6282.83203250789*$t);
$Y0 += 0.00003110838*cos(5.38114087369 + 83997.09113559539*$t);
$Y0 += 0.00002561408*cos(5.29827505528 + 529.9347825781*$t);
$Y0 += 0.00002142365*cos(2.66284107563 + 1577.0997249643*$t);
$Y0 += 0.00001709161*cos(5.20779761275 + 6279.7965491259*$t);
$Y0 += 0.00001707934*cos(4.58234386738 + 6286.84278582391*$t);
$Y0 += 0.00001442753*cos(1.90130765657 + 2353.1099712553*$t);
$Y0 += 0.00001113027*cos(5.26701283158 + 5223.4501023187*$t);
$Y0 += 0.00000934484*cos(4.50305745607 + 12036.7045523717*$t);
$Y0 += 0.00000899854*cos(1.60527831001 + 10213.5293636945*$t);
$Y0 += 0.00000566820*cos(0.58162314212 + 1059.6257476727*$t);
$Y0 += 0.00000661858*cos(6.02414120157 + 5753.6287023803*$t);
$Y0 += 0.00000739644*cos(2.79582891432 + 398.3928208917*$t);
$Y0 += 0.00000681381*cos(0.64735765260 + 4705.9761250271*$t);
$Y0 += 0.00000611293*cos(3.81390547656 + 6813.0106325695*$t);
$Y0 += 0.00000451129*cos(4.52236258525 + 5885.1706640667*$t);
$Y0 += 0.00000451985*cos(5.99169934357 + 6257.0213476751*$t);
$Y0 += 0.00000449743*cos(3.79862296384 + 6309.61798727471*$t);
$Y0 += 0.00000406291*cos(5.25608267423 + 6681.46867088311*$t);
$Y0 += 0.00000541115*cos(5.49909532338 + 775.7664288075*$t);
$Y0 += 0.00000546682*cos(6.17348361999 + 14143.7390599141*$t);
$Y0 += 0.00000513780*cos(2.86615405111 + 7860.6632099227*$t);
$Y0 += 0.00000263916*cos(3.82472119950 + 5507.7970561509*$t);
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$Y0 += 0.00000000100*cos(3.80714894085 + 5316.3487900393*$t);
$Y0 += 0.00000000085*cos(1.33904345426 + 12282.5361986011*$t);
$Y0 += 0.00000000075*cos(0.39510472937 + 24422.6141688908*$t);
$Y0 += 0.00000000076*cos(0.41148054527 + 63659.1215683211*$t);
$Y0 += 0.00000000072*cos(4.97177288715 + 16723.5939600785*$t);
$Y0 += 0.00000000097*cos(0.21179463686 + 17995.78735073869*$t);
$Y0 += 0.00000000087*cos(2.06337614338 + 18106.4813069251*$t);
$Y0 += 0.00000000080*cos(3.60508005382 + 17363.4912463925*$t);
$Y0 += 0.00000000070*cos(3.06053136401 + 6124.37614969171*$t);
$Y0 += 0.00000000070*cos(0.44640955505 + 6442.2631852581*$t);
$Y0 += 0.00000000070*cos(4.42572835968 + 4705.4884900601*$t);
$Y0 += 0.00000000078*cos(3.37769653143 + 23550.5878691661*$t);
$Y0 += 0.00000000070*cos(3.84581453123 + 12036.21691740469*$t);
$Y0 += 0.00000000077*cos(5.00579533671 + 5237.67719632029*$t);
$Y0 += 0.00000000069*cos(1.30888647192 + 16207.64245401849*$t);
$Y0 += 0.00000000082*cos(3.91623659935 + 6774.98295993371*$t);
$Y0 += 0.00000000067*cos(4.88284115481 + 7083.14079264031*$t);
$Y0 += 0.00000000067*cos(0.26461151247 + 6394.50630976251*$t);
$Y0 += 0.00000000067*cos(3.24232940659 + 6172.1330251873*$t);
$Y0 += 0.00000000077*cos(0.28397734649 + 9924.5666040271*$t);
$Y0 += 0.00000000080*cos(3.79678848458 + 22380.9996177575*$t);
$Y0 += 0.00000000070*cos(3.03095059330 + 6390.9831914135*$t);
$Y0 += 0.00000000070*cos(0.47599032576 + 6175.6561435363*$t);
$Y0 += 0.00000000074*cos(4.12433601146 + 16193.41536001689*$t);
$Y0 += 0.00000000076*cos(4.07719654455 + 32217.4439985643*$t);
$Y0 += 0.00000000091*cos(0.90446873976 + 6653.0194834153*$t);
$Y0 += 0.00000000091*cos(2.60247217930 + 5913.6198515345*$t);
$Y0 += 0.00000000067*cos(4.94532713838 + 6265.50714535691*$t);
$Y0 += 0.00000000067*cos(4.84479908786 + 6301.1321895929*$t);
$Y0 += 0.00000000067*cos(3.01186125982 + 5959.3266158505*$t);
$Y0 += 0.00000000083*cos(4.51648793763 + 16723.10632511149*$t);
$Y0 += 0.00000000080*cos(5.49180050451 + 23646.5670963839*$t);
$Y0 += 0.00000000068*cos(2.07232606852 + 4897.4243911387*$t);
$Y0 += 0.00000000069*cos(0.56996686256 + 6944.5525942559*$t);
$Y0 += 0.00000000089*cos(3.57060375879 + 10660.44311755889*$t);
$Y0 += 0.00000000079*cos(3.24586891365 + 35371.6434484929*$t);
$Y0 += 0.00000000073*cos(0.54359299539 + 6370.62787201471*$t);
$Y0 += 0.00000000073*cos(2.96334792367 + 6196.0114629351*$t);
$Y0 += 0.00000000065*cos(5.23672190600 + 22345.0165586247*$t);
$Y0 += 0.00000000064*cos(5.80516008052 + 15265.64270181689*$t);
$Y0 += 0.00000000066*cos(1.12499582368 + 6315.2919732917*$t);
$Y0 += 0.00000000066*cos(2.38194509538 + 6251.34736165811*$t);
$Y0 += 0.00000000065*cos(3.44248995108 + 323.74923414091*$t);
$Y0 += 0.00000000076*cos(1.46082924902 + 10873.74221299689*$t);
$Y0 += 0.00000000084*cos(0.49974269222 + 109.9625037359*$t);
$Y0 += 0.00000000063*cos(2.70916029747 + 11823.4054569337*$t);
$Y0 += 0.00000000064*cos(4.80332084911 + 28774.2817889683*$t);
$Y0 += 0.00000000072*cos(2.11265208796 + 18099.7594409665*$t);
$Y0 += 0.00000000066*cos(1.21054975257 + 17576.7903418305*$t);
$Y0 += 0.00000000072*cos(0.02703719822 + 245707.70992182779*$t);
$Y0 += 0.00000000061*cos(3.91641579991 + 10557.8379783073*$t);
$Y0 += 0.00000000064*cos(5.46712129325 + 71430.9394356126*$t);
$Y0 += 0.00000000068*cos(1.33734717206 + 28760.05469496669*$t);
$Y0 += 0.00000000062*cos(2.25046201901 + 3854.7898494737*$t);
$Y0 += 0.00000000073*cos(4.61252989167 + 23440.3815479467*$t);
$Y0 += 0.00000000060*cos(1.65871121739 + 13088.9729355601*$t);
$Y0 += 0.00000000078*cos(2.99014426818 + 12564.91104475801*$t);
$Y0 += 0.00000000060*cos(2.90135289748 + 7548.8871461013*$t);
$Y0 += 0.00000000059*cos(4.12263682656 + 6286.3551508569*$t);
$Y0 += 0.00000000075*cos(2.85045311521 + 18625.1265717558*$t);
$Y0 += 0.00000000058*cos(5.18922617388 + 35050.2440919589*$t);
$Y0 += 0.00000000060*cos(4.91746089028 + 553.8132203259*$t);
$Y0 += 0.00000000069*cos(4.25329717989 + 167993.93845370729*$t);
$Y0 += 0.00000000059*cos(5.13629564655 + 41991.0297503823*$t);
$Y0 += 0.00000000062*cos(4.44636395235 + 15663.79170522509*$t);
$Y0 += 0.00000000081*cos(5.98297744820 + 7250.29054491051*$t);
$Y0 += 0.00000000059*cos(1.11500712714 + 6277.2537518451*$t);
$Y0 += 0.00000000059*cos(2.39193379192 + 6289.3855831047*$t);
$Y0 += 0.00000000063*cos(0.56300539120 + 18003.38853270651*$t);
$Y0 += 0.00000000057*cos(3.30567043605 + 793.0187059509*$t);
$Y0 += 0.00000000057*cos(1.59794444440 + 10027.65937824569*$t);
$Y0 += 0.00000000060*cos(0.63448798616 + 647.25465079831*$t);
$Y0 += 0.00000000072*cos(5.73566114928 + 4597.77991000629*$t);
$Y0 += 0.00000000059*cos(5.39392547964 + 6279.30891415889*$t);
$Y0 += 0.00000000068*cos(1.14499717138 + 3166.66025521511*$t);
$Y0 += 0.00000000056*cos(3.10776343336 + 6226.5164053051*$t);
$Y0 += 0.00000000056*cos(0.39917748570 + 6340.12292964471*$t);
$Y0 += 0.00000000056*cos(0.95649088929 + 12303.3115940935*$t);
$Y0 += 0.00000000057*cos(1.51972566902 + 5864.3952685743*$t);
$Y0 += 0.00000000057*cos(1.98721525004 + 6702.2440663755*$t);
$Y0 += 0.00000000069*cos(0.33222800273 + 23536.3607751645*$t);
$Y0 += 0.00000000059*cos(2.36664156781 + 5760.25461441409*$t);
$Y0 += 0.00000000065*cos(1.96288183765 + 12139.30969162329*$t);
$Y0 += 0.00000000059*cos(1.81423548051 + 67589.3312645407*$t);
$Y0 += 0.00000000073*cos(2.08854442290 + 11079.92776143409*$t);
$Y0 += 0.00000000076*cos(0.77803347659 + 23227.0824525087*$t);
$Y0 += 0.00000000067*cos(0.54633497662 + 4804.4530934105*$t);
$Y0 += 0.00000000073*cos(4.43869578954 + 30349.1275902505*$t);
$Y0 += 0.00000000074*cos(3.17776060575 + 92747.9329843061*$t);
$Y0 += 0.00000000070*cos(6.27818224660 + 12299.7884757445*$t);
$Y0 += 0.00000000060*cos(5.08460970539 + 12171.7696324071*$t);
$Y0 += 0.00000000059*cos(1.03458131364 + 15.49628866851*$t);
$Y0 += 0.00000000074*cos(1.19968434762 + 3684.1342325067*$t);
$Y0 += 0.00000000058*cos(1.58539308271 + 6717.0314053517*$t);
$Y0 += 0.00000000053*cos(3.68674599490 + 26087.65932409069*$t);
$Y0 += 0.00000000059*cos(5.76308404993 + 12164.7233957091*$t);
$Y0 += 0.00000000063*cos(5.23211999381 + 5219.5179490556*$t);
$Y0 += 0.00000000056*cos(2.45377850108 + 3178.38960805111*$t);
$Y0 += 0.00000000063*cos(2.16148808063 + 5227.38225558179*$t);
$Y0 += 0.00000000070*cos(4.83368738065 + 19004.4041319249*$t);
$Y0 += 0.00000000072*cos(2.62595674809 + 4583.55281600469*$t);
$Y0 += 0.00000000052*cos(0.96524582701 + 3627.2636600341*$t);
$Y0 += 0.00000000052*cos(3.30278586555 + 6411.2712005095*$t);
$Y0 += 0.00000000052*cos(0.20415505351 + 6155.3681344403*$t);
$Y0 += 0.00000000054*cos(2.04667654344 + 5849.6079295981*$t);
$Y0 += 0.00000000066*cos(5.93782050272 + 5791.16874004909*$t);
$Y0 += 0.00000000066*cos(5.93782050272 + 5791.6563750161*$t);
$Y0 += 0.00000000051*cos(2.41252260456 + 5113.2437810993*$t);
$Y0 += 0.00000000058*cos(2.72227505748 + 30775.7257811265*$t);
$Y0 += 0.00000000061*cos(0.72832616881 + 14169.5497447469*$t);
$Y0 += 0.00000000054*cos(3.16101850189 + 10454.74520408871*$t);
$Y0 += 0.00000000056*cos(1.20035157643 + 23141.8022004081*$t);
$Y0 += 0.00000000067*cos(3.89077193587 + 28313.0449871775*$t);
$Y0 += 0.00000000056*cos(0.37854134464 + 5244.2930566845*$t);
$Y0 += 0.00000000062*cos(0.60927850338 + 5657.6494751625*$t);
$Y0 += 0.00000000062*cos(2.89766241568 + 6908.9898597873*$t);
$Y0 += 0.00000000050*cos(3.10994458213 + 2574.99527684569*$t);
$Y0 += 0.00000000050*cos(2.89352148340 + 536.5606946119*$t);
$Y0 += 0.00000000050*cos(0.38317924664 + 6684.9917892321*$t);
$Y0 += 0.00000000050*cos(3.12376167242 + 5881.6475457177*$t);
$Y0 += 0.00000000049*cos(0.36435757253 + 16310.73522823709*$t);
$Y0 += 0.00000000049*cos(3.50595022612 + 16311.2228632041*$t);
$Y0 += 0.00000000065*cos(2.20156720545 + 46386.7499258277*$t);
$Y0 += 0.00000000069*cos(5.16096365273 + 60530.2451682583*$t);
$Y0 += 0.00000000068*cos(4.61952317468 + 96678.14268052569*$t);
$Y0 += 0.00000000049*cos(4.01249891427 + 12323.17927852529*$t);
$Y0 += 0.00000000050*cos(2.38095415684 + 21954.4014268815*$t);
$Y0 += 0.00000000049*cos(4.98226292129 + 4164.5558070965*$t);
$Y0 += 0.00000000059*cos(0.54830716960 + 33794.7875410121*$t);
$Y0 += 0.00000000050*cos(1.64594745036 + 43739.0461634493*$t);
$Y0 += 0.00000000059*cos(2.71376255252 + 3981.73385156551*$t);
$Y0 += 0.00000000058*cos(3.16580349936 + 27707.29867681129*$t);
$Y0 += 0.00000000051*cos(1.43461397348 + 7669.21494381111*$t);
$Y0 += 0.00000000048*cos(3.23576326319 + 3646.59419483791*$t);
$Y0 += 0.00000000065*cos(1.63790414031 + 82534.6474380951*$t);
$Y0 += 0.00000000056*cos(2.62361047024 + 800.06494264891*$t);
$Y0 += 0.00000000057*cos(2.56200976684 + 11609.61872652869*$t);
$Y0 += 0.00000000048*cos(3.66284145075 + 26.5421372833*$t);
$Y0 += 0.00000000047*cos(5.82227097996 + 30640.1004561165*$t);
$Y0 += 0.00000000060*cos(3.54507538375 + 8982.5668518255*$t);
$Y0 += 0.00000000049*cos(2.15364675842 + 96563.24283557819*$t);
$Y0 += 0.00000000050*cos(3.60628396854 + 17583.9038888313*$t);
$Y0 += 0.00000000046*cos(4.33029118489 + 23539.46356884929*$t);
$Y0 += 0.00000000048*cos(4.40476950322 + 170.4290531357*$t);
$Y0 += 0.00000000055*cos(0.06525117672 + 735.6326960483*$t);
$Y0 += 0.00000000054*cos(5.90233323358 + 6680.98103591609*$t);
$Y0 += 0.00000000060*cos(3.29126676894 + 44033.8837720559*$t);
$Y0 += 0.00000000064*cos(5.97731735914 + 80181.29364935629*$t);
$Y0 += 0.00000000059*cos(3.60959132830 + 24279.3508356971*$t);
$Y0 += 0.00000000049*cos(3.59486989773 + 5490.5447790075*$t);
$Y0 += 0.00000000058*cos(5.95314247069 + 6490.0204047715*$t);
$Y0 += 0.00000000058*cos(3.83698375555 + 6076.6189301783*$t);
$Y0 += 0.00000000046*cos(1.35461053261 + 18208.1061251085*$t);
$Y0 += 0.00000000045*cos(3.19696372316 + 4480.46004178609*$t);
$Y0 += 0.00000000055*cos(1.99803947181 + 16097.9237677661*$t);
$Y0 += 0.00000000055*cos(1.99803947181 + 16097.43613279909*$t);
$Y0 += 0.00000000061*cos(3.53347961961 + 491.9071099423*$t);
$Y0 += 0.00000000054*cos(1.22650408797 + 6006.5738956105*$t);
$Y0 += 0.00000000054*cos(2.28043683109 + 6560.0654393393*$t);
$Y0 += 0.00000000044*cos(4.77367705513 + 5333.65642353809*$t);
$Y0 += 0.00000000052*cos(3.85218997059 + 244287.84382471119*$t);
$Y0 += 0.00000000044*cos(2.69173127084 + 2301.34199842589*$t);
$Y0 += 0.00000000045*cos(4.35951224787 + 33794.2999060451*$t);
$Y0 += 0.00000000046*cos(3.84874383995 + 4384.48081456829*$t);
$Y0 += 0.00000000048*cos(4.63629874583 + 35579.9350570535*$t);
$Y0 += 0.00000000051*cos(4.91886576255 + 18326.8939493639*$t);
$Y0 += 0.00000000045*cos(2.63923033609 + 533.45790092711*$t);
$Y0 += 0.00000000046*cos(3.15339657493 + 16703.3059509825*$t);
$Y0 += 0.00000000047*cos(2.39403388232 + 5209.2230083171*$t);
$Y0 += 0.00000000051*cos(1.31112479278 + 38650.4173236825*$t);
$Y0 += 0.00000000046*cos(2.47672465258 + 12555.3498172024*$t);
$Y0 += 0.00000000052*cos(4.64446990453 + 5992.3468016089*$t);
$Y0 += 0.00000000052*cos(5.14565632171 + 6574.2925333409*$t);
$Y0 += 0.00000000044*cos(3.80837636245 + 69942.1974183125*$t);
$Y0 += 0.00000000049*cos(3.62132943845 + 12146.9108735911*$t);
$Y0 += 0.00000000053*cos(4.67452542700 + 39301.8531447125*$t);
$Y0 += 0.00000000045*cos(4.65107782321 + 46360.9392409949*$t);
$Y0 += 0.00000000043*cos(1.54528326296 + 8402.0835278533*$t);
$Y0 += 0.00000000043*cos(0.19791989913 + 44137.1951668575*$t);
$Y0 += 0.00000000049*cos(3.54725333487 + 22029.9691371861*$t);
$Y0 += 0.00000000044*cos(1.47478212539 + 31441.92138724031*$t);
$Y0 += 0.00000000042*cos(2.85938112982 + 9225.29545579949*$t);
$Y0 += 0.00000000045*cos(3.22032934298 + 71519.54096076029*$t);
$Y0 += 0.00000000051*cos(2.95623880108 + 7762.1862415393*$t);
$Y0 += 0.00000000041*cos(5.14395096650 + 3735.48212924251*$t);
$Y0 += 0.00000000057*cos(1.24099052077 + 40398.4337367495*$t);
$Y0 += 0.00000000047*cos(6.03171570454 + 4707.9862312257*$t);
$Y0 += 0.00000000056*cos(5.36736063063 + 28664.0754677489*$t);
$Y0 += 0.00000000050*cos(2.58729930740 + 11919.3846841515*$t);
$Y0 += 0.00000000047*cos(5.61037642387 + 316428.47249139856*$t);
$Y0 += 0.00000000041*cos(2.70468936208 + 27278.7126339243*$t);
$Y0 += 0.00000000056*cos(1.28041103259 + 83659.5206898825*$t);
$Y0 += 0.00000000048*cos(0.93182108526 + 12662.3747446841*$t);
$Y0 += 0.00000000054*cos(2.40910872834 + 16627.12709789369*$t);
$Y0 += 0.00000000052*cos(2.84085536047 + 12571.9184417737*$t);
$Y0 += 0.00000000043*cos(3.12713892129 + 7322.34627826531*$t);
$Y0 += 0.00000000041*cos(1.99075260862 + 664.99986261351*$t);
$Y0 += 0.00000000042*cos(3.11818521171 + 5641.9544251257*$t);
$Y0 += 0.00000000044*cos(6.16004757680 + 6425.4982945111*$t);
$Y0 += 0.00000000044*cos(3.63007864944 + 6141.1410404387*$t);
$Y0 += 0.00000000039*cos(5.09444795757 + 22594.2987131955*$t);
$Y0 += 0.00000000040*cos(1.17403028794 + 20894.53186172529*$t);
$Y0 += 0.00000000044*cos(3.71228299188 + 5540.3296069423*$t);
$Y0 += 0.00000000050*cos(0.98055905828 + 17782.48825530069*$t);
$Y0 += 0.00000000054*cos(3.12084664124 + 6006.2846737335*$t);
$Y0 += 0.00000000054*cos(0.38609427782 + 6560.3546612163*$t);
$Y0 += 0.00000000045*cos(0.83260974343 + 142861.14741877468*$t);
$Y0 += 0.00000000047*cos(5.83397233956 + 24499.7634781359*$t);
$Y0 += 0.00000000043*cos(6.07854396898 + 7026.3097280075*$t);
$Y0 += 0.00000000047*cos(0.38354823927 + 955.8435590921*$t);
$Y0 += 0.00000000047*cos(2.93749588479 + 24485.5363841343*$t);
$Y0 += 0.00000000040*cos(1.03647885736 + 9388.2497268987*$t);
$Y0 += 0.00000000043*cos(4.24359473122 + 6359.5857387505*$t);
$Y0 += 0.00000000042*cos(5.53288597787 + 8635.69818627969*$t);
$Y0 += 0.00000000051*cos(4.03405257508 + 27831.79440179969*$t);
$Y0 += 0.00000000042*cos(0.37690679264 + 6334.60000533731*$t);
$Y0 += 0.00000000042*cos(3.13003412642 + 6232.03932961249*$t);
$Y0 += 0.00000000052*cos(1.96232281613 + 11905.1625906853*$t);
$Y0 += 0.00000000040*cos(6.22187049858 + 7076.0945559423*$t);
$Y0 += 0.00000000040*cos(5.00617355027 + 5444.3503797245*$t);
$Y0 += 0.00000000040*cos(4.78395267597 + 7122.2889552253*$t);
$Y0 += 0.00000000038*cos(0.67446092329 + 44933.4931736739*$t);
$Y0 += 0.00000000037*cos(4.98656910933 + 5715.6010297445*$t);
$Y0 += 0.00000000037*cos(4.80355711691 + 6851.0383052053*$t);
$Y0 += 0.00000000042*cos(5.51152847292 + 36147.6536947839*$t);
$Y0 += 0.00000000042*cos(1.28742672679 + 6238.1784478383*$t);
$Y0 += 0.00000000042*cos(2.21951419227 + 6328.4608871115*$t);
$Y0 += 0.00000000040*cos(5.21427505339 + 3214.8925631597*$t);
$Y0 += 0.00000000043*cos(2.22601042104 + 23141.3145654411*$t);
$Y0 += 0.00000000041*cos(5.52595261887 + 19804.5834740993*$t);
$Y0 += 0.00000000038*cos(4.48062431201 + 20.11150191529*$t);
$Y0 += 0.00000000050*cos(0.05709227621 + 84334.66158130829*$t);
$Y0 += 0.00000000050*cos(4.41842921988 + 60284.16619777939*$t);
return $Y0;
}
function Earth_Y1($t) // 600 terms of order 1
{
$Y1 = 0.00154550744*cos(5.35844734917 + 0.2438174835*$t);
$Y1 += 0.00051503383*cos(4.43183566713 + 12566.3955174663*$t);
$Y1 += 0.00001290763*cos(4.38862020180 + 18849.4713674577*$t);
$Y1 += 0.00000702576*cos(0.18268310766 + 6283.3196674749*$t);
$Y1 += 0.00000430422*cos(4.02296125150 + 6282.83203250789*$t);
$Y1 += 0.00000212689*cos(0.16300557365 + 6279.7965491259*$t);
$Y1 += 0.00000212524*cos(3.34405166686 + 6286.84278582391*$t);
$Y1 += 0.00000062308*cos(5.07432195748 + 4705.9761250271*$t);
$Y1 += 0.00000059808*cos(2.24108323998 + 6257.0213476751*$t);
$Y1 += 0.00000059474*cos(1.26580020213 + 6309.61798727471*$t);
$Y1 += 0.00000048914*cos(3.64253038225 + 775.7664288075*$t);
$Y1 += 0.00000042814*cos(5.15102931682 + 1059.6257476727*$t);
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$Y1 += 0.00000000038*cos(3.55143054136 + 31571.0434668747*$t);
$Y1 += 0.00000000038*cos(4.53015131722 + 16061.94070863329*$t);
$Y1 += 0.00000000029*cos(1.64885508302 + 23539.46356884929*$t);
$Y1 += 0.00000000033*cos(2.88700963334 + 3738.51761262449*$t);
$Y1 += 0.00000000028*cos(6.02264922068 + 2942.21960580809*$t);
$Y1 += 0.00000000032*cos(2.75250951602 + 15110.7099373497*$t);
$Y1 += 0.00000000030*cos(6.10434010761 + 55023.1795645579*$t);
$Y1 += 0.00000000027*cos(5.24524976767 + 233141.55822184499*$t);
$Y1 += 0.00000000030*cos(0.75326086687 + 12587.1709129587*$t);
$Y1 += 0.00000000028*cos(3.97691648841 + 34911.6558935745*$t);
$Y1 += 0.00000000027*cos(4.60109278395 + 1692.40948698591*$t);
$Y1 += 0.00000000027*cos(6.13743188286 + 2544.07060239989*$t);
$Y1 += 0.00000000027*cos(4.99580076168 + 24382.8352909579*$t);
$Y1 += 0.00000000027*cos(4.42136306455 + 6205.6458970469*$t);
$Y1 += 0.00000000027*cos(5.36876316169 + 6360.99343790291*$t);
$Y1 += 0.00000000027*cos(4.95719787895 + 31172.8944634665*$t);
$Y1 += 0.00000000026*cos(2.19655051246 + 36949.4746259077*$t);
$Y1 += 0.00000000034*cos(4.45594644643 + 18053.1733606413*$t);
$Y1 += 0.00000000027*cos(0.74968073356 + 32367.3414736911*$t);
$Y1 += 0.00000000027*cos(3.34260766105 + 4487.57358878689*$t);
$Y1 += 0.00000000028*cos(5.37411547339 + 10239.3400485273*$t);
$Y1 += 0.00000000026*cos(1.30232025786 + 4796.85191144269*$t);
$Y1 += 0.00000000026*cos(4.70861603764 + 6226.4212925393*$t);
$Y1 += 0.00000000026*cos(5.08151018860 + 6340.2180424105*$t);
$Y1 += 0.00000000029*cos(4.90026899469 + 5974.0413448191*$t);
$Y1 += 0.00000000029*cos(4.88985723155 + 6592.5979901307*$t);
$Y1 += 0.00000000026*cos(4.96950484222 + 19402.55313533309*$t);
$Y1 += 0.00000000028*cos(3.99925126629 + 46386.7499258277*$t);
$Y1 += 0.00000000032*cos(5.04462761864 + 9225.7830907665*$t);
$Y1 += 0.00000000026*cos(4.11745014890 + 9910.33951002549*$t);
$Y1 += 0.00000000025*cos(1.02839985963 + 15265.64270181689*$t);
$Y1 += 0.00000000029*cos(4.33416022359 + 52176.0501006319*$t);
$Y1 += 0.00000000027*cos(2.65258449905 + 62883.5989569971*$t);
$Y1 += 0.00000000024*cos(5.26265995716 + 11617.21990849651*$t);
$Y1 += 0.00000000024*cos(1.04936648816 + 5120.8449630671*$t);
$Y1 += 0.00000000028*cos(4.82143927810 + 6680.98103591609*$t);
$Y1 += 0.00000000024*cos(5.97769334002 + 522.3336006103*$t);
$Y1 += 0.00000000025*cos(2.29282659231 + 6263.64990657511*$t);
$Y1 += 0.00000000025*cos(1.21411432675 + 6302.9894283747*$t);
$Y1 += 0.00000000029*cos(0.87325499796 + 23581.5019948011*$t);
$Y1 += 0.00000000024*cos(5.21948189448 + 29424.8780503995*$t);
$Y1 += 0.00000000028*cos(1.09161353868 + 16737.8210540801*$t);
$Y1 += 0.00000000024*cos(3.55960074091 + 22743.16556203289*$t);
$Y1 += 0.00000000024*cos(3.55960074091 + 22743.6531969999*$t);
$Y1 += 0.00000000024*cos(4.28222488832 + 25158.8455372489*$t);
$Y1 += 0.00000000025*cos(5.52194731109 + 21424.2228268199*$t);
$Y1 += 0.00000000025*cos(5.52194731109 + 21424.7104617869*$t);
$Y1 += 0.00000000024*cos(3.49943174674 + 14712.07329897449*$t);
$Y1 += 0.00000000028*cos(6.07681616993 + 5760.25461441409*$t);
$Y1 += 0.00000000024*cos(2.16376008059 + 31969.1924702829*$t);
$Y1 += 0.00000000023*cos(5.33584675127 + 17893.1822114871*$t);
$Y1 += 0.00000000030*cos(2.28483676839 + 8584.9054833843*$t);
$Y1 += 0.00000000024*cos(1.64666673478 + 23550.5878691661*$t);
$Y1 += 0.00000000023*cos(6.07302432574 + 6717.0314053517*$t);
$Y1 += 0.00000000022*cos(2.42662159283 + 7445.7943718827*$t);
$Y1 += 0.00000000023*cos(3.56571153376 + 5849.6079295981*$t);
$Y1 += 0.00000000025*cos(5.52794317615 + 14155.4684127501*$t);
$Y1 += 0.00000000023*cos(2.01489779401 + 6294.36536773881*$t);
$Y1 += 0.00000000023*cos(1.49204312505 + 6272.273967211*$t);
$Y1 += 0.00000000024*cos(5.81677586075 + 18208.1061251085*$t);
$Y1 += 0.00000000024*cos(5.81677586075 + 18208.5937600755*$t);
$Y1 += 0.00000000021*cos(4.21172313283 + 22779.6810636773*$t);
$Y1 += 0.00000000029*cos(1.74369099855 + 28628.5800435831*$t);
$Y1 += 0.00000000021*cos(3.56347944199 + 40879.6843221273*$t);
$Y1 += 0.00000000021*cos(2.51496251708 + 30221.1760572159*$t);
$Y1 += 0.00000000022*cos(6.09500922463 + 4379.8828549737*$t);
$Y1 += 0.00000000022*cos(3.69512347867 + 8186.7564799761*$t);
$Y1 += 0.00000000022*cos(2.95145769488 + 28760.05469496669*$t);
$Y1 += 0.00000000026*cos(1.83973482412 + 18422.8731765817*$t);
$Y1 += 0.00000000020*cos(2.37799900039 + 12036.21691740469*$t);
$Y1 += 0.00000000020*cos(0.07485283254 + 28313.0449871775*$t);
$Y1 += 0.00000000027*cos(5.38239668902 + 34513.5068901663*$t);
$Y1 += 0.00000000020*cos(0.50551300300 + 34115.3578867581*$t);
$Y1 += 0.00000000020*cos(3.29228335956 + 21548.7185518083*$t);
$Y1 += 0.00000000020*cos(5.25656062979 + 17654.5367222661*$t);
$Y1 += 0.00000000025*cos(1.96130235408 + 55798.7021758819*$t);
$Y1 += 0.00000000020*cos(5.53200449549 + 20597.4877805247*$t);
$Y1 += 0.00000000020*cos(1.03604717996 + 18875.76968725751*$t);
$Y1 += 0.00000000022*cos(2.01853988925 + 1588.82907780029*$t);
$Y1 += 0.00000000024*cos(5.92091322542 + 9411.7084325707*$t);
$Y1 += 0.00000000019*cos(1.14706242910 + 536.5606946119*$t);
$Y1 += 0.00000000020*cos(3.42481272827 + 6187.3404402571*$t);
$Y1 += 0.00000000020*cos(0.08212819079 + 6379.2988946927*$t);
$Y1 += 0.00000000022*cos(2.87392170851 + 18326.8939493639*$t);
$Y1 += 0.00000000022*cos(0.61268580951 + 6233.5626420031*$t);
$Y1 += 0.00000000022*cos(2.89425510955 + 6333.0766929467*$t);
$Y1 += 0.00000000018*cos(0.45956662142 + 5972.4788686065*$t);
$Y1 += 0.00000000018*cos(3.04737429764 + 6594.1604663433*$t);
$Y1 += 0.00000000019*cos(2.71317971903 + 6948.0757126049*$t);
$Y1 += 0.00000000019*cos(0.79376120003 + 5618.5636223449*$t);
$Y1 += 0.00000000019*cos(4.89700264579 + 83974.07917321339*$t);
$Y1 += 0.00000000019*cos(2.72494811319 + 84020.10309797739*$t);
$Y1 += 0.00000000020*cos(5.42036659910 + 50316.9596220473*$t);
$Y1 += 0.00000000020*cos(1.28312164242 + 9070.3626913323*$t);
return $Y1*$t;
}
function Earth_Y2($t) // 248 terms of order 2
{
$Y2 = 0.00052911498*cos(1.75323722235 + 6283.3196674749*$t);
$Y2 += 0.00006074441*cos(0.48406211192 + 0.2438174835*$t);
$Y2 += 0.00002406871*cos(2.66006394470 + 12566.3955174663*$t);
$Y2 += 0.00000096033*cos(2.57406136836 + 18849.4713674577*$t);
$Y2 += 0.00000029888*cos(2.30515825272 + 6282.83203250789*$t);
$Y2 += 0.00000014021*cos(1.64042051619 + 6279.7965491259*$t);
$Y2 += 0.00000013375*cos(1.74320372785 + 6286.84278582391*$t);
$Y2 += 0.00000008148*cos(0.62869530307 + 6309.61798727471*$t);
$Y2 += 0.00000008195*cos(2.81874475342 + 6257.0213476751*$t);
$Y2 += 0.00000008001*cos(4.34877296703 + 6127.8992680407*$t);
$Y2 += 0.00000007754*cos(5.43470598991 + 6438.7400669091*$t);
$Y2 += 0.00000007223*cos(3.81034638754 + 83997.09113559539*$t);
$Y2 += 0.00000004616*cos(4.59623594691 + 710.1768660418*$t);
$Y2 += 0.00000003060*cos(3.26884940633 + 4705.9761250271*$t);
$Y2 += 0.00000003717*cos(0.87961276723 + 5507.7970561509*$t);
$Y2 += 0.00000002991*cos(2.48913608928 + 25132.5472174491*$t);
$Y2 += 0.00000003235*cos(2.53504921673 + 7058.8422787989*$t);
$Y2 += 0.00000002393*cos(1.83696733237 + 775.7664288075*$t);
$Y2 += 0.00000002034*cos(2.77061597204 + 6290.4332144757*$t);
$Y2 += 0.00000002028*cos(0.70943948464 + 6276.2061204741*$t);
$Y2 += 0.00000002064*cos(0.01448293997 + 7860.6632099227*$t);
$Y2 += 0.00000001914*cos(2.85234479868 + 5487.0216606585*$t);
$Y2 += 0.00000001770*cos(3.48783151064 + 1059.6257476727*$t);
$Y2 += 0.00000001761*cos(1.80823220260 + 5753.6287023803*$t);
$Y2 += 0.00000001558*cos(0.56580595512 + 7079.61767429131*$t);
$Y2 += 0.00000001551*cos(0.55852743151 + 6040.5910635009*$t);
$Y2 += 0.00000001436*cos(1.28164050883 + 5885.1706640667*$t);
$Y2 += 0.00000001469*cos(2.94324921966 + 6526.04827144891*$t);
$Y2 += 0.00000001319*cos(1.89155311923 + 6681.46867088311*$t);
$Y2 += 0.00000001180*cos(1.42090963151 + 6813.0106325695*$t);
$Y2 += 0.00000001337*cos(5.75221416852 + 5729.7502646325*$t);
$Y2 += 0.00000001039*cos(4.25243426113 + 6282.3393464067*$t);
$Y2 += 0.00000001313*cos(0.59897551240 + 529.9347825781*$t);
$Y2 += 0.00000001041*cos(5.47801377680 + 6284.2999885431*$t);
$Y2 += 0.00000001202*cos(4.02829547071 + 6836.8890703173*$t);
$Y2 += 0.00000000904*cos(0.85768945907 + 5331.6012612243*$t);
$Y2 += 0.00000000870*cos(2.26660468565 + 4933.4522578161*$t);
$Y2 += 0.00000001149*cos(3.02450680654 + 167284.00540514899*$t);
$Y2 += 0.00000001069*cos(1.09203232944 + 1577.0997249643*$t);
$Y2 += 0.00000000772*cos(2.66290097432 + 7235.0380737255*$t);
$Y2 += 0.00000000846*cos(1.36798976406 + 11790.8729061423*$t);
$Y2 += 0.00000000742*cos(5.02007434299 + 4137.1542509997*$t);
$Y2 += 0.00000000966*cos(2.05227643484 + 11856.462468908*$t);
$Y2 += 0.00000000664*cos(1.21776131888 + 7633.1870771337*$t);
$Y2 += 0.00000000662*cos(3.18968574411 + 1194.6908277081*$t);
$Y2 += 0.00000000659*cos(5.95013449282 + 11507.0135872771*$t);
$Y2 += 0.00000000853*cos(3.65338850674 + 4535.3032544079*$t);
$Y2 += 0.00000000823*cos(1.06126729936 + 155.17658195069*$t);
$Y2 += 0.00000000783*cos(4.30296275012 + 5088.8726572503*$t);
$Y2 += 0.00000000785*cos(3.46658763633 + 2353.1099712553*$t);
$Y2 += 0.00000000694*cos(3.50785804761 + 801.5771136403*$t);
$Y2 += 0.00000000566*cos(4.42922662864 + 796.5418242999*$t);
$Y2 += 0.00000000684*cos(1.11267726523 + 3128.6325825793*$t);
$Y2 += 0.00000000499*cos(1.42594865875 + 12569.91863581531*$t);
$Y2 += 0.00000000596*cos(6.09778115923 + 8031.3360805419*$t);
$Y2 += 0.00000000486*cos(4.54237345712 + 1589.3167127673*$t);
$Y2 += 0.00000000483*cos(4.68204073064 + 8429.4850839501*$t);
$Y2 += 0.00000000441*cos(4.99112466662 + 6496.6187629129*$t);
$Y2 += 0.00000000412*cos(0.87602065813 + 4693.75913722409*$t);
$Y2 += 0.00000000561*cos(5.46330573132 + 7477.7666776995*$t);
$Y2 += 0.00000000390*cos(4.63888431687 + 6070.0205720369*$t);
$Y2 += 0.00000000405*cos(6.26538093406 + 3739.0052475915*$t);
$Y2 += 0.00000000501*cos(1.82149883986 + 1592.8398311163*$t);
$Y2 += 0.00000000392*cos(0.68216396598 + 26.0545023163*$t);
$Y2 += 0.00000000369*cos(5.93410776393 + 553.32558535889*$t);
$Y2 += 0.00000000483*cos(6.07777893059 + 12036.7045523717*$t);
$Y2 += 0.00000000489*cos(3.70668603785 + 5223.4501023187*$t);
$Y2 += 0.00000000481*cos(3.17195852109 + 10213.5293636945*$t);
$Y2 += 0.00000000448*cos(5.56847234629 + 156137.71980228279*$t);
$Y2 += 0.00000000321*cos(4.53991511859 + 951.4745887671*$t);
$Y2 += 0.00000000320*cos(0.43138538654 + 1990.9888345245*$t);
$Y2 += 0.00000000361*cos(2.16599134100 + 12565.9078824993*$t);
$Y2 += 0.00000000361*cos(4.79823251497 + 12721.8159169005*$t);
$Y2 += 0.00000000412*cos(4.34259218946 + 398.3928208917*$t);
$Y2 += 0.00000000304*cos(5.68078111352 + 4690.7236538421*$t);
$Y2 += 0.00000000356*cos(6.00094576166 + 5481.4987363511*$t);
$Y2 += 0.00000000283*cos(0.66912545661 + 242.97242145751*$t);
$Y2 += 0.00000000362*cos(2.31554210740 + 9438.0067523705*$t);
$Y2 += 0.00000000248*cos(3.18243221495 + 8827.6340873583*$t);
$Y2 += 0.00000000252*cos(2.73244620528 + 3154.4432674121*$t);
$Y2 += 0.00000000257*cos(0.22372520009 + 11371.9485072417*$t);
$Y2 += 0.00000000327*cos(1.45001600721 + 14143.7390599141*$t);
$Y2 += 0.00000000230*cos(1.80447328493 + 1747.7725955835*$t);
$Y2 += 0.00000000289*cos(3.67617510107 + 7085.1405985987*$t);
$Y2 += 0.00000000297*cos(3.17045499445 + 1349.62359217529*$t);
$Y2 += 0.00000000209*cos(4.98580572759 + 11770.0975106499*$t);
$Y2 += 0.00000000207*cos(0.21623312501 + 4164.0681721295*$t);
$Y2 += 0.00000000188*cos(4.07593821324 + 7875.91568110771*$t);
$Y2 += 0.00000000189*cos(5.31784128034 + 2389.1378379327*$t);
$Y2 += 0.00000000194*cos(5.12285857348 + 10977.32262218251*$t);
$Y2 += 0.00000000176*cos(2.51491286893 + 7342.7015976641*$t);
$Y2 += 0.00000000164*cos(1.22070775546 + 5223.93773728571*$t);
$Y2 += 0.00000000205*cos(1.64290799201 + 10973.7995038335*$t);
$Y2 += 0.00000000205*cos(0.68022152849 + 13368.2164485901*$t);
$Y2 += 0.00000000139*cos(3.04789845179 + 10575.6505004253*$t);
$Y2 += 0.00000000155*cos(4.24333188820 + 12410.9751180321*$t);
$Y2 += 0.00000000152*cos(4.81739365185 + 3930.4535137031*$t);
$Y2 += 0.00000000129*cos(0.80954637051 + 397.9051859247*$t);
$Y2 += 0.00000000127*cos(5.67893828134 + 12592.6938372661*$t);
$Y2 += 0.00000000132*cos(4.87291664360 + 8636.18582124671*$t);
$Y2 += 0.00000000122*cos(3.21278850975 + 13119.9649203087*$t);
$Y2 += 0.00000000163*cos(2.50359725386 + 5507.3094211839*$t);
$Y2 += 0.00000000114*cos(4.13352060999 + 17260.3984721739*$t);
$Y2 += 0.00000000118*cos(0.80775184774 + 4292.5746504339*$t);
$Y2 += 0.00000000148*cos(4.06616105867 + 17790.08943726851*$t);
$Y2 += 0.00000000123*cos(2.18706277371 + 12562.8723991173*$t);
$Y2 += 0.00000000103*cos(1.79915109205 + 13518.1139237169*$t);
$Y2 += 0.00000000138*cos(2.26785827403 + 12168.2465140581*$t);
$Y2 += 0.00000000107*cos(2.76898193474 + 10989.0519750185*$t);
$Y2 += 0.00000000104*cos(0.56758990747 + 2145.92159899169*$t);
$Y2 += 0.00000000096*cos(0.40713285174 + 6283.25235717211*$t);
$Y2 += 0.00000000099*cos(0.70751931715 + 13096.0864825609*$t);
$Y2 += 0.00000000096*cos(6.24621518908 + 6283.3869777777*$t);
$Y2 += 0.00000000084*cos(3.63516988010 + 16730.70750707931*$t);
$Y2 += 0.00000000111*cos(2.39242858566 + 12540.0971976665*$t);
$Y2 += 0.00000000087*cos(4.45435464785 + 10177.5014970171*$t);
$Y2 += 0.00000000078*cos(2.61342989032 + 12323.6669134923*$t);
$Y2 += 0.00000000076*cos(4.13782411870 + 6709.91785835091*$t);
$Y2 += 0.00000000105*cos(1.96765772501 + 5642.4420600927*$t);
$Y2 += 0.00000000073*cos(5.60932378402 + 5856.7214765989*$t);
$Y2 += 0.00000000102*cos(5.37997051996 + 250570.91967470259*$t);
$Y2 += 0.00000000070*cos(0.51266920771 + 5753.14106741329*$t);
$Y2 += 0.00000000071*cos(5.27404987073 + 14314.4119305333*$t);
$Y2 += 0.00000000092*cos(0.39406209616 + 13916.2629271251*$t);
$Y2 += 0.00000000070*cos(4.10529685600 + 7084.6529636317*$t);
$Y2 += 0.00000000091*cos(1.53880932897 + 6924.1972748571*$t);
$Y2 += 0.00000000083*cos(2.41910116753 + 31415.6230674405*$t);
$Y2 += 0.00000000088*cos(0.30300511757 + 71430.45180064559*$t);
$Y2 += 0.00000000074*cos(3.53618023271 + 529.44714761109*$t);
$Y2 += 0.00000000085*cos(4.40773297118 + 95143.37673846159*$t);
$Y2 += 0.00000000061*cos(2.66034748981 + 8274.0646845159*$t);
$Y2 += 0.00000000060*cos(3.95075537336 + 16496.6052136859*$t);
$Y2 += 0.00000000058*cos(3.04970743906 + 5642.93474619389*$t);
$Y2 += 0.00000000078*cos(0.84061745785 + 213.5429129215*$t);
$Y2 += 0.00000000059*cos(3.10446906052 + 640.1411037975*$t);
$Y2 += 0.00000000057*cos(3.63209087311 + 4690.23601887509*$t);
$Y2 += 0.00000000056*cos(2.23091315346 + 13341.9181287903*$t);
$Y2 += 0.00000000065*cos(4.95952410600 + 4731.7868098599*$t);
$Y2 += 0.00000000051*cos(0.09929724563 + 3893.93801205869*$t);
$Y2 += 0.00000000050*cos(2.60290043400 + 12573.5090644671*$t);
$Y2 += 0.00000000050*cos(5.98749446465 + 3634.37720703489*$t);
$Y2 += 0.00000000049*cos(0.70632876133 + 18319.7804023631*$t);
$Y2 += 0.00000000066*cos(3.92505951821 + 2787.2868413409*$t);
$Y2 += 0.00000000049*cos(0.42825389697 + 13362.6935242827*$t);
$Y2 += 0.00000000048*cos(2.19153498916 + 12964.5445208745*$t);
$Y2 += 0.00000000053*cos(2.55294637714 + 14919.2616712381*$t);
$Y2 += 0.00000000058*cos(5.94322042199 + 1577.5873599313*$t);
$Y2 += 0.00000000052*cos(5.99067773035 + 15721.0826023619*$t);
$Y2 += 0.00000000061*cos(4.99956015956 + 4292.0870154669*$t);
$Y2 += 0.00000000044*cos(5.02285128905 + 24073.1652872599*$t);
$Y2 += 0.00000000044*cos(1.96034093811 + 10447.14402212089*$t);
$Y2 += 0.00000000042*cos(2.52906622396 + 20426.8149099055*$t);
$Y2 += 0.00000000059*cos(2.58678833053 + 84672.23202702119*$t);
$Y2 += 0.00000000051*cos(3.81200106179 + 6370.62787201471*$t);
$Y2 += 0.00000000051*cos(5.97812516445 + 6196.0114629351*$t);
$Y2 += 0.00000000046*cos(5.23410298912 + 2119.00767786191*$t);
$Y2 += 0.00000000041*cos(2.52248241350 + 3185.43584474911*$t);
$Y2 += 0.00000000056*cos(4.84268946755 + 10976.83498721549*$t);
$Y2 += 0.00000000051*cos(3.94604483748 + 9437.5191174035*$t);
$Y2 += 0.00000000049*cos(1.64079935270 + 239424.63407183639*$t);
$Y2 += 0.00000000036*cos(1.49154565635 + 3495.78900865049*$t);
$Y2 += 0.00000000044*cos(2.12316916648 + 18139.5383188994*$t);
$Y2 += 0.00000000035*cos(5.18466509768 + 3929.96587873609*$t);
$Y2 += 0.00000000044*cos(3.23094444076 + 8661.9965060795*$t);
$Y2 += 0.00000000046*cos(2.21535532938 + 3894.4256470257*$t);
$Y2 += 0.00000000034*cos(2.24364878116 + 6262.5442719825*$t);
$Y2 += 0.00000000034*cos(4.40970135798 + 6304.0950629673*$t);
$Y2 += 0.00000000035*cos(5.15488505358 + 18875.2820522905*$t);
$Y2 += 0.00000000035*cos(4.51996316476 + 10420.23010099111*$t);
$Y2 += 0.00000000032*cos(5.33774590597 + 23013.7833570707*$t);
$Y2 += 0.00000000034*cos(2.04067717162 + 7.3573644843*$t);
$Y2 += 0.00000000045*cos(6.20022544523 + 3340.8562441833*$t);
$Y2 += 0.00000000035*cos(1.95669709650 + 10213.0417287275*$t);
$Y2 += 0.00000000031*cos(3.81393239996 + 14712.5609339415*$t);
$Y2 += 0.00000000030*cos(2.82636067861 + 12809.12412144031*$t);
$Y2 += 0.00000000039*cos(5.86021469295 + 9779.3524936089*$t);
$Y2 += 0.00000000041*cos(0.90085517811 + 82576.73740351178*$t);
$Y2 += 0.00000000031*cos(5.47911308336 + 22779.6810636773*$t);
$Y2 += 0.00000000028*cos(2.50895957020 + 2942.7072407751*$t);
$Y2 += 0.00000000028*cos(3.93140481871 + 5429.63565075589*$t);
$Y2 += 0.00000000027*cos(5.61355223000 + 11014.8626598513*$t);
$Y2 += 0.00000000027*cos(0.53944014317 + 9623.9320941747*$t);
$Y2 += 0.00000000025*cos(0.15499921281 + 18209.5740811437*$t);
$Y2 += 0.00000000026*cos(0.97984555070 + 9381.2034902007*$t);
$Y2 += 0.00000000025*cos(1.11733310909 + 3583.5848481573*$t);
$Y2 += 0.00000000030*cos(4.41826131323 + 10447.6316570879*$t);
$Y2 += 0.00000000032*cos(5.65959938774 + 796.0541893329*$t);
$Y2 += 0.00000000023*cos(1.38575591729 + 9917.45305702629*$t);
$Y2 += 0.00000000026*cos(5.61732376806 + 12012.8261146239*$t);
$Y2 += 0.00000000024*cos(3.45407340381 + 14143.2514249471*$t);
$Y2 += 0.00000000023*cos(0.69647593831 + 26709.8907598969*$t);
$Y2 += 0.00000000021*cos(5.43974830479 + 7632.6994421667*$t);
$Y2 += 0.00000000021*cos(0.80058820514 + 17256.8753538249*$t);
$Y2 += 0.00000000028*cos(5.78689433830 + 12353.0964220283*$t);
$Y2 += 0.00000000022*cos(3.26384247748 + 77714.01528560399*$t);
$Y2 += 0.00000000021*cos(4.41664687493 + 6993.2527160332*$t);
$Y2 += 0.00000000020*cos(1.88345295944 + 6836.40143535029*$t);
$Y2 += 0.00000000020*cos(3.87252932348 + 1748.2602305505*$t);
$Y2 += 0.00000000026*cos(0.45595739946 + 9225.7830907665*$t);
$Y2 += 0.00000000023*cos(5.52071600644 + 149854.64395229139*$t);
$Y2 += 0.00000000026*cos(0.60119736394 + 2544.07060239989*$t);
$Y2 += 0.00000000018*cos(0.71176167314 + 11614.6771112157*$t);
$Y2 += 0.00000000020*cos(3.04333652471 + 426.8420083595*$t);
$Y2 += 0.00000000019*cos(2.09021029647 + 30640.1004561165*$t);
$Y2 += 0.00000000018*cos(3.20715016441 + 155.6642169177*$t);
$Y2 += 0.00000000018*cos(0.32502884515 + 11926.4982311523*$t);
$Y2 += 0.00000000022*cos(2.17863705978 + 17298.4261448097*$t);
$Y2 += 0.00000000019*cos(4.82590950931 + 18073.46112116669*$t);
$Y2 += 0.00000000020*cos(1.02950628439 + 19651.2922985815*$t);
$Y2 += 0.00000000024*cos(3.14467908991 + 5856.23384163189*$t);
$Y2 += 0.00000000023*cos(3.21288696705 + 72850.80553272919*$t);
$Y2 += 0.00000000017*cos(2.38623798159 + 8983.0544867925*$t);
$Y2 += 0.00000000016*cos(3.59989563011 + 16460.5773470085*$t);
$Y2 += 0.00000000016*cos(2.77179277240 + 17259.91083720689*$t);
$Y2 += 0.00000000021*cos(2.20286926080 + 16858.7263504167*$t);
$Y2 += 0.00000000020*cos(5.10666464640 + 23543.4743221653*$t);
$Y2 += 0.00000000021*cos(5.36525328799 + 13367.7288136231*$t);
$Y2 += 0.00000000020*cos(2.47582665567 + 2146.4092339587*$t);
$Y2 += 0.00000000014*cos(4.85508264889 + 22484.0923919761*$t);
$Y2 += 0.00000000014*cos(6.23679853613 + 16200.52890701769*$t);
$Y2 += 0.00000000015*cos(2.64768344463 + 20199.3387771165*$t);
$Y2 += 0.00000000019*cos(1.24340851761 + 8672.21368792411*$t);
$Y2 += 0.00000000019*cos(2.89835524904 + 18073.9487561337*$t);
$Y2 += 0.00000000013*cos(3.14350306699 + 16201.0165419847*$t);
$Y2 += 0.00000000017*cos(2.96004801328 + 7860.17557495569*$t);
$Y2 += 0.00000000013*cos(3.12347768998 + 18451.3223640495*$t);
$Y2 += 0.00000000016*cos(4.90276494200 + 5572.8989839496*$t);
$Y2 += 0.00000000012*cos(1.13909733386 + 17996.2749857057*$t);
$Y2 += 0.00000000012*cos(5.43460350187 + 19403.0407703001*$t);
$Y2 += 0.00000000012*cos(0.82655936469 + 14945.0723560709*$t);
$Y2 += 0.00000000015*cos(0.47799392266 + 12559.2819704655*$t);
$Y2 += 0.00000000012*cos(2.80799572996 + 10818.3791043993*$t);
$Y2 += 0.00000000015*cos(5.28864619208 + 12567.37583853451*$t);
$Y2 += 0.00000000011*cos(0.21391675163 + 28767.1682419675*$t);
$Y2 += 0.00000000013*cos(5.80786469706 + 90280.16698558679*$t);
$Y2 += 0.00000000011*cos(0.30991526634 + 22805.4917485101*$t);
$Y2 += 0.00000000011*cos(0.67526353010 + 35372.1310834599*$t);
$Y2 += 0.00000000010*cos(1.54770241799 + 11506.52595231009*$t);
$Y2 += 0.00000000014*cos(0.36722951229 + 21228.63584102931*$t);
$Y2 += 0.00000000010*cos(4.84303300061 + 12779.6946129043*$t);
$Y2 += 0.00000000010*cos(4.48229440272 + 23141.8022004081*$t);
$Y2 += 0.00000000010*cos(5.89241784221 + 1350.1112271423*$t);
$Y2 += 0.00000000010*cos(4.07842068364 + 10575.1628654583*$t);
$Y2 += 0.00000000010*cos(0.98564127078 + 22345.5041935917*$t);
$Y2 += 0.00000000010*cos(0.62034181586 + 9778.8648586419*$t);
$Y2 += 0.00000000009*cos(6.20390809264 + 29826.5501721567*$t);
$Y2 += 0.00000000010*cos(2.66921279687 + 23581.5019948011*$t);
$Y2 += 0.00000000011*cos(5.10849785178 + 25158.8455372489*$t);
return $Y2*$t*$t;
}
function Earth_Y3($t) // 46 terms of order 3
{
$Y3 = 0.00000232790*cos(1.83555296287 + 0.2438174835*$t);
$Y3 += 0.00000076843*cos(0.95359770708 + 12566.3955174663*$t);
$Y3 += 0.00000035331*cos(1.77537067174 + 6283.3196674749*$t);
$Y3 += 0.00000005282*cos(0.83410185910 + 18849.4713674577*$t);
$Y3 += 0.00000001631*cos(0.72620862558 + 6282.83203250789*$t);
$Y3 += 0.00000001483*cos(0.65599216587 + 6438.7400669091*$t);
$Y3 += 0.00000001479*cos(2.83072127404 + 6127.8992680407*$t);
$Y3 += 0.00000000652*cos(3.13796451313 + 6279.7965491259*$t);
$Y3 += 0.00000000656*cos(0.01615422945 + 6286.84278582391*$t);
$Y3 += 0.00000000317*cos(1.43157695840 + 6526.04827144891*$t);
$Y3 += 0.00000000318*cos(2.05944515679 + 6040.5910635009*$t);
$Y3 += 0.00000000227*cos(0.70881980797 + 25132.5472174491*$t);
$Y3 += 0.00000000201*cos(5.52615570373 + 6836.8890703173*$t);
$Y3 += 0.00000000201*cos(4.23563267830 + 5729.7502646325*$t);
$Y3 += 0.00000000036*cos(6.05003898151 + 12569.91863581531*$t);
$Y3 += 0.00000000034*cos(0.36912822345 + 4705.9761250271*$t);
$Y3 += 0.00000000033*cos(2.65665718326 + 12410.9751180321*$t);
$Y3 += 0.00000000032*cos(3.81269087187 + 6257.0213476751*$t);
$Y3 += 0.00000000032*cos(2.84133186500 + 6309.61798727471*$t);
$Y3 += 0.00000000026*cos(5.21573736647 + 775.7664288075*$t);
$Y3 += 0.00000000023*cos(0.44696909593 + 1059.6257476727*$t);
$Y3 += 0.00000000025*cos(0.01326357360 + 7860.6632099227*$t);
$Y3 += 0.00000000027*cos(0.46730161827 + 12565.9078824993*$t);
$Y3 += 0.00000000020*cos(2.19213288615 + 5753.6287023803*$t);
$Y3 += 0.00000000019*cos(1.44435756454 + 5885.1706640667*$t);
$Y3 += 0.00000000019*cos(4.47976718197 + 6813.0106325695*$t);
$Y3 += 0.00000000018*cos(0.72211012099 + 12721.8159169005*$t);
$Y3 += 0.00000000017*cos(5.20474716177 + 6681.46867088311*$t);
$Y3 += 0.00000000013*cos(2.92478174105 + 5487.0216606585*$t);
$Y3 += 0.00000000011*cos(3.72062261949 + 7079.61767429131*$t);
$Y3 += 0.00000000010*cos(2.89167021825 + 5507.7970561509*$t);
$Y3 += 0.00000000010*cos(1.46762801985 + 11790.8729061423*$t);
$Y3 += 0.00000000009*cos(6.21784065295 + 11507.0135872771*$t);
$Y3 += 0.00000000011*cos(4.68801103302 + 12592.6938372661*$t);
$Y3 += 0.00000000009*cos(3.82179163254 + 7058.8422787989*$t);
$Y3 += 0.00000000008*cos(5.97770881958 + 6290.4332144757*$t);
$Y3 += 0.00000000008*cos(0.68313431813 + 6276.2061204741*$t);
$Y3 += 0.00000000008*cos(1.45990791265 + 796.5418242999*$t);
$Y3 += 0.00000000007*cos(4.15465801739 + 4693.75913722409*$t);
$Y3 += 0.00000000007*cos(0.35078036011 + 7.3573644843*$t);
$Y3 += 0.00000000005*cos(3.29483739022 + 3739.0052475915*$t);
$Y3 += 0.00000000005*cos(4.64160679165 + 6070.0205720369*$t);
$Y3 += 0.00000000006*cos(2.38483297622 + 6284.2999885431*$t);
$Y3 += 0.00000000006*cos(4.26851560652 + 6282.3393464067*$t);
$Y3 += 0.00000000005*cos(1.89668032657 + 4137.1542509997*$t);
$Y3 += 0.00000000005*cos(2.01213704309 + 6496.6187629129*$t);
return $Y3*$t*$t*$t;
}
function Earth_Y4($t) // 20 terms of order 4
{
$Y4 = 0.00000114918*cos(4.77291921544 + 6283.3196674749*$t);
$Y4 += 0.00000006817*cos(2.90545031303 + 0.2438174835*$t);
$Y4 += 0.00000003158*cos(5.19149443854 + 12566.3955174663*$t);
$Y4 += 0.00000000211*cos(2.15272014034 + 6438.7400669091*$t);
$Y4 += 0.00000000210*cos(1.31410288968 + 6127.8992680407*$t);
$Y4 += 0.00000000253*cos(5.35904773722 + 18849.4713674577*$t);
$Y4 += 0.00000000073*cos(5.49456429263 + 6282.83203250789*$t);
$Y4 += 0.00000000042*cos(3.03243163257 + 710.1768660418*$t);
$Y4 += 0.00000000023*cos(4.47433896564 + 6279.7965491259*$t);
$Y4 += 0.00000000022*cos(4.47061131203 + 6286.84278582391*$t);
$Y4 += 0.00000000012*cos(5.22878976906 + 25132.5472174491*$t);
$Y4 += 0.00000000009*cos(2.63928422881 + 83997.09113559539*$t);
$Y4 += 0.00000000009*cos(3.62312855703 + 11856.462468908*$t);
$Y4 += 0.00000000008*cos(4.59507616558 + 167284.00540514899*$t);
$Y4 += 0.00000000005*cos(4.40834364231 + 6257.0213476751*$t);
$Y4 += 0.00000000005*cos(2.21798830782 + 6309.61798727471*$t);
$Y4 += 0.00000000005*cos(1.11835906029 + 12410.9751180321*$t);
$Y4 += 0.00000000005*cos(3.99770824807 + 156137.71980228279*$t);
$Y4 += 0.00000000004*cos(4.97197978751 + 12565.9078824993*$t);
$Y4 += 0.00000000003*cos(3.60141861387 + 529.9347825781*$t);
return $Y4*$t*$t*$t*$t;
}
function Earth_Y5($t) // 7 terms of order 5
{
$Y5 = 0.00000000877*cos(4.87375194107 + 6283.3196674749*$t);
$Y5 += 0.00000000305*cos(4.05893642248 + 0.2438174835*$t);
$Y5 += 0.00000000101*cos(3.30997066470 + 12566.3955174663*$t);
$Y5 += 0.00000000025*cos(3.73514325706 + 6438.7400669091*$t);
$Y5 += 0.00000000025*cos(5.99118011879 + 6127.8992680407*$t);
$Y5 += 0.00000000010*cos(3.54319653898 + 18849.4713674577*$t);
$Y5 += 0.00000000003*cos(4.13285368647 + 6282.83203250789*$t);
return $Y5*$t*$t*$t*$t*$t;
}
function Earth_Z0($t) // 178 terms of order 0
{
$Z0 = 0.00000279620*cos(3.19870156017 + 84334.66158130829*$t);
$Z0 += 0.00000101625*cos(5.42248110597 + 5507.5532386674*$t);
$Z0 += 0.00000080461*cos(3.88027157914 + 5223.6939198022*$t);
$Z0 += 0.00000043855*cos(3.70430347723 + 2352.8661537718*$t);
$Z0 += 0.00000031853*cos(3.99997840986 + 1577.3435424478*$t);
$Z0 += 0.00000022724*cos(3.98473831560 + 1047.7473117547*$t);
$Z0 += 0.00000016395*cos(3.56456162523 + 5856.4776591154*$t);
$Z0 += 0.00000018150*cos(4.98479613321 + 6283.0758499914*$t);
$Z0 += 0.00000014477*cos(3.70258423465 + 9437.762934887*$t);
$Z0 += 0.00000014325*cos(3.41020246931 + 10213.285546211*$t);
$Z0 += 0.00000011204*cos(4.83021499098 + 14143.4952424306*$t);
$Z0 += 0.00000010896*cos(2.08023708321 + 6812.766815086*$t);
$Z0 += 0.00000009716*cos(3.47560205064 + 4694.0029547076*$t);
$Z0 += 0.00000010363*cos(4.05663928093 + 71092.88135493269*$t);
$Z0 += 0.00000008792*cos(4.44890729280 + 5753.3848848968*$t);
$Z0 += 0.00000008337*cos(4.99167706048 + 7084.8967811152*$t);
$Z0 += 0.00000006921*cos(4.32559054073 + 6275.9623029906*$t);
$Z0 += 0.00000009145*cos(1.14182646613 + 6620.8901131878*$t);
$Z0 += 0.00000007205*cos(3.62441599378 + 529.6909650946*$t);
$Z0 += 0.00000007698*cos(5.55425745881 + 167621.57585086189*$t);
$Z0 += 0.00000005186*cos(6.25384533126 + 18073.7049386502*$t);
$Z0 += 0.00000005027*cos(2.49727910749 + 4705.7323075436*$t);
$Z0 += 0.00000004529*cos(2.33827747356 + 6309.3741697912*$t);
$Z0 += 0.00000004754*cos(0.71100829534 + 5884.9268465832*$t);
$Z0 += 0.00000004292*cos(1.10034019036 + 6681.2248533996*$t);
$Z0 += 0.00000003855*cos(1.82331477760 + 5486.777843175*$t);
$Z0 += 0.00000005256*cos(4.42445744523 + 7860.4193924392*$t);
$Z0 += 0.00000004025*cos(5.11990285618 + 13367.9726311066*$t);
$Z0 += 0.00000004061*cos(6.02923989849 + 3930.2096962196*$t);
$Z0 += 0.00000003798*cos(0.44370219832 + 3154.6870848956*$t);
$Z0 += 0.00000002933*cos(5.12428135363 + 1059.3819301892*$t);
$Z0 += 0.00000003424*cos(5.42065191700 + 6069.7767545534*$t);
$Z0 += 0.00000003670*cos(4.58210192227 + 12194.0329146209*$t);
$Z0 += 0.00000002912*cos(1.92688087702 + 10977.078804699*$t);
$Z0 += 0.00000002506*cos(0.60484952637 + 6496.3749454294*$t);
$Z0 += 0.00000002680*cos(1.39497359287 + 22003.9146348698*$t);
$Z0 += 0.00000002120*cos(4.30691000285 + 5643.1785636774*$t);
$Z0 += 0.00000002235*cos(0.81363184041 + 8635.9420037632*$t);
$Z0 += 0.00000001819*cos(3.75748003107 + 3340.6124266998*$t);
$Z0 += 0.00000002230*cos(2.76407822446 + 12036.4607348882*$t);
$Z0 += 0.00000001945*cos(5.69949789177 + 11790.6290886588*$t);
$Z0 += 0.00000001529*cos(1.98639348122 + 398.1490034082*$t);
$Z0 += 0.00000001581*cos(3.19976230948 + 5088.6288397668*$t);
$Z0 += 0.00000001424*cos(6.26116472313 + 2544.3144198834*$t);
$Z0 += 0.00000001405*cos(4.69394873481 + 7058.5984613154*$t);
$Z0 += 0.00000001588*cos(0.25704624784 + 17298.1823273262*$t);
$Z0 += 0.00000001478*cos(2.81808207569 + 25934.1243310894*$t);
$Z0 += 0.00000001693*cos(4.95689385293 + 156475.2902479957*$t);
$Z0 += 0.00000001123*cos(2.38605285936 + 3738.761430108*$t);
$Z0 += 0.00000000990*cos(4.29600699156 + 9225.539273283*$t);
$Z0 += 0.00000000923*cos(3.07195736431 + 4164.311989613*$t);
$Z0 += 0.00000000863*cos(0.55119493097 + 8429.2412664666*$t);
$Z0 += 0.00000000984*cos(5.96784225392 + 7079.3738568078*$t);
$Z0 -= 0.00000001086;
$Z0 += 0.00000000824*cos(1.50050055147 + 10447.3878396044*$t);
$Z0 += 0.00000000829*cos(3.51336978167 + 11506.7697697936*$t);
$Z0 += 0.00000000908*cos(0.12102885474 + 11015.1064773348*$t);
$Z0 += 0.00000000742*cos(1.99159139281 + 26087.9031415742*$t);
$Z0 += 0.00000000850*cos(4.24120016095 + 29864.334027309*$t);
$Z0 += 0.00000000762*cos(2.90028034892 + 4732.0306273434*$t);
$Z0 += 0.00000000711*cos(1.38596151724 + 2146.1654164752*$t);
$Z0 += 0.00000000766*cos(0.61397570576 + 796.2980068164*$t);
$Z0 += 0.00000000708*cos(1.91406542362 + 8031.0922630584*$t);
$Z0 += 0.00000000810*cos(5.13961498599 + 2942.4634232916*$t);
$Z0 += 0.00000000751*cos(1.67479850166 + 21228.3920235458*$t);
$Z0 += 0.00000000589*cos(2.02193316047 + 775.522611324*$t);
$Z0 += 0.00000000513*cos(2.60734651128 + 12566.1516999828*$t);
$Z0 += 0.00000000550*cos(1.61119298963 + 801.8209311238*$t);
$Z0 += 0.00000000592*cos(4.59481504319 + 4690.4798363586*$t);
$Z0 += 0.00000000519*cos(5.72925039114 + 8827.3902698748*$t);
$Z0 += 0.00000000515*cos(4.09976487552 + 64809.80550494129*$t);
$Z0 += 0.00000000503*cos(5.66433137112 + 33794.5437235286*$t);
$Z0 += 0.00000000476*cos(3.69640472448 + 213.299095438*$t);
$Z0 += 0.00000000463*cos(1.24987240483 + 15720.8387848784*$t);
$Z0 += 0.00000000411*cos(0.10769444525 + 3128.3887650958*$t);
$Z0 += 0.00000000504*cos(3.26207669160 + 7632.9432596502*$t);
$Z0 += 0.00000000552*cos(1.02926440457 + 239762.20451754928*$t);
$Z0 += 0.00000000394*cos(5.81496021156 + 426.598190876*$t);
$Z0 += 0.00000000476*cos(3.52810472421 + 16496.3613962024*$t);
$Z0 += 0.00000000503*cos(4.85802444134 + 6290.1893969922*$t);
$Z0 += 0.00000000417*cos(0.81920713533 + 5216.5803728014*$t);
$Z0 += 0.00000000363*cos(5.70015720452 + 1589.0728952838*$t);
$Z0 += 0.00000000363*cos(1.28376436579 + 6206.8097787158*$t);
$Z0 += 0.00000000353*cos(4.70059133110 + 7234.794256242*$t);
$Z0 += 0.00000000381*cos(2.61890749829 + 7342.4577801806*$t);
$Z0 += 0.00000000420*cos(0.97821135132 + 4136.9104335162*$t);
$Z0 += 0.00000000335*cos(6.22057967320 + 12168.0026965746*$t);
$Z0 += 0.00000000387*cos(3.09145061418 + 25158.6017197654*$t);
$Z0 += 0.00000000349*cos(2.94840720073 + 9623.6882766912*$t);
$Z0 += 0.00000000418*cos(3.75759994446 + 5230.807466803*$t);
$Z0 += 0.00000000396*cos(1.22507712354 + 6438.4962494256*$t);
$Z0 += 0.00000000322*cos(1.21162178805 + 8662.240323563*$t);
$Z0 += 0.00000000323*cos(5.50254808471 + 1194.4470102246*$t);
$Z0 += 0.00000000372*cos(1.72256107938 + 14945.3161735544*$t);
$Z0 += 0.00000000305*cos(0.80429352049 + 37724.7534197482*$t);
$Z0 += 0.00000000265*cos(6.10358507671 + 6836.6452528338*$t);
$Z0 += 0.00000000250*cos(4.56452895547 + 7477.522860216*$t);
$Z0 += 0.00000000266*cos(2.62926282354 + 7238.67559160*$t);
$Z0 += 0.00000000262*cos(1.34297269105 + 11769.8536931664*$t);
$Z0 += 0.00000000263*cos(6.22089501237 + 6133.5126528568*$t);
$Z0 += 0.00000000302*cos(2.81139045072 + 1748.016413067*$t);
$Z0 += 0.00000000316*cos(1.62662805006 + 250908.49012041549*$t);
$Z0 += 0.00000000226*cos(2.42346415873 + 11371.7046897582*$t);
$Z0 += 0.00000000216*cos(3.68721275185 + 5849.3641121146*$t);
$Z0 += 0.00000000276*cos(2.33399767923 + 19651.048481098*$t);
$Z0 += 0.00000000230*cos(0.36165162947 + 5863.5912061162*$t);
$Z0 += 0.00000000200*cos(5.86073159059 + 4535.0594369244*$t);
$Z0 += 0.00000000277*cos(4.65400292395 + 82239.16695779889*$t);
$Z0 += 0.00000000199*cos(5.05186622555 + 5429.8794682394*$t);
$Z0 += 0.00000000206*cos(3.70556027982 + 10973.55568635*$t);
$Z0 += 0.00000000210*cos(4.50691909144 + 29088.811415985*$t);
$Z0 += 0.00000000181*cos(6.00294783127 + 4292.3308329504*$t);
$Z0 += 0.00000000249*cos(0.12900984422 + 154379.79562448629*$t);
$Z0 += 0.00000000167*cos(6.27348370813 + 10988.808157535*$t);
$Z0 += 0.00000000183*cos(3.19836584401 + 16730.4636895958*$t);
$Z0 += 0.00000000225*cos(3.18339652605 + 18875.525869774*$t);
$Z0 += 0.00000000192*cos(0.87192032514 + 77375.95720492408*$t);
$Z0 += 0.00000000188*cos(2.22746128596 + 41654.9631159678*$t);
$Z0 += 0.00000000160*cos(5.20207795189 + 5481.2549188676*$t);
$Z0 += 0.00000000192*cos(3.89678943865 + 17789.845619785*$t);
$Z0 += 0.00000000159*cos(5.32590846475 + 7.1135470008*$t);
$Z0 += 0.00000000214*cos(4.08171403539 + 337.8142631964*$t);
$Z0 += 0.00000000184*cos(3.75465072369 + 23581.2581773176*$t);
$Z0 += 0.00000000160*cos(4.53897529970 + 18477.1087646123*$t);
$Z0 += 0.00000000144*cos(5.19486374726 + 20426.571092422*$t);
$Z0 += 0.00000000126*cos(1.69446958184 + 15110.4661198662*$t);
$Z0 += 0.00000000149*cos(1.55306832217 + 10021.8372800994*$t);
$Z0 += 0.00000000127*cos(5.31068233515 + 639.897286314*$t);
$Z0 += 0.00000000118*cos(2.73268114062 + 18849.2275499742*$t);
$Z0 += 0.00000000123*cos(2.55361087146 + 12592.4500197826*$t);
$Z0 += 0.00000000113*cos(6.07178776726 + 6709.6740408674*$t);
$Z0 += 0.00000000130*cos(3.94161517411 + 7330.8231617461*$t);
$Z0 += 0.00000000110*cos(3.51203379263 + 18052.9295431578*$t);
$Z0 += 0.00000000147*cos(4.63371971408 + 22805.7355659936*$t);
$Z0 += 0.00000000113*cos(1.20711498905 + 14919.0178537546*$t);
$Z0 += 0.00000000108*cos(3.76359880753 + 14314.1681130498*$t);
$Z0 += 0.00000000148*cos(0.65447253687 + 95480.9471841745*$t);
$Z0 += 0.00000000121*cos(3.13748782783 + 14712.317116458*$t);
$Z0 += 0.00000000119*cos(5.92110458985 + 33019.0211122046*$t);
$Z0 += 0.00000000124*cos(2.93638421840 + 32217.2001810808*$t);
$Z0 += 0.00000000117*cos(3.65065271640 + 45585.1728121874*$t);
$Z0 += 0.00000000127*cos(4.74596574209 + 49515.382508407*$t);
$Z0 += 0.00000000120*cos(1.04211499785 + 6915.8595893046*$t);
$Z0 += 0.00000000120*cos(5.60638811846 + 5650.2921106782*$t);
$Z0 += 0.00000000127*cos(2.70766997307 + 12352.8526045448*$t);
$Z0 += 0.00000000113*cos(5.39691616452 + 5235.3285382367*$t);
$Z0 += 0.00000000097*cos(1.07908724794 + 9917.6968745098*$t);
$Z0 += 0.00000000123*cos(5.15992792934 + 27511.4678735372*$t);
$Z0 += 0.00000000099*cos(4.45774681732 + 4933.2084403326*$t);
$Z0 += 0.00000000087*cos(3.93637812950 + 17654.7805397496*$t);
$Z0 += 0.00000000122*cos(2.23956068680 + 83997.09113559539*$t);
$Z0 += 0.00000000102*cos(3.97386522171 + 10818.1352869158*$t);
$Z0 += 0.00000000084*cos(4.21241958885 + 22779.4372461938*$t);
$Z0 += 0.00000000103*cos(4.63519841733 + 1349.8674096588*$t);
$Z0 += 0.00000000081*cos(4.01655240430 + 1592.5960136328*$t);
$Z0 += 0.00000000092*cos(3.24182657569 + 78051.5857313169*$t);
$Z0 += 0.00000000094*cos(4.33873972800 + 36147.4098773004*$t);
$Z0 += 0.00000000076*cos(2.83897554420 + 17260.1546546904*$t);
$Z0 += 0.00000000100*cos(6.07733097102 + 26735.9452622132*$t);
$Z0 += 0.00000000078*cos(0.72462427283 + 12779.4507954208*$t);
$Z0 += 0.00000000086*cos(5.26029638250 + 28313.288804661*$t);
$Z0 += 0.00000000093*cos(4.31900620254 + 44809.6502008634*$t);
$Z0 += 0.00000000076*cos(6.22743405935 + 13521.7514415914*$t);
$Z0 += 0.00000000081*cos(2.16420552322 + 13095.8426650774*$t);
$Z0 += 0.00000000100*cos(1.38002787119 + 28286.9904848612*$t);
$Z0 += 0.00000000072*cos(1.55820597747 + 6256.7775301916*$t);
$Z0 += 0.00000000082*cos(4.95202664555 + 10575.4066829418*$t);
$Z0 += 0.00000000082*cos(1.69647647075 + 1990.745017041*$t);
$Z0 += 0.00000000096*cos(6.16038106485 + 24356.7807886416*$t);
$Z0 += 0.00000000075*cos(2.29836095644 + 3634.6210245184*$t);
$Z0 += 0.00000000075*cos(2.66367876557 + 16200.7727245012*$t);
$Z0 += 0.00000000087*cos(0.26630214764 + 31441.6775697568*$t);
$Z0 += 0.00000000080*cos(5.00001604436 + 150192.21439800429*$t);
$Z0 += 0.00000000079*cos(0.01398391548 + 90617.7374312997*$t);
$Z0 += 0.00000000054*cos(5.59738773448 + 161338.5000008705*$t);
$Z0 += 0.00000000056*cos(2.60133794851 + 73188.3759784421*$t);
$Z0 += 0.00000000055*cos(5.81483150022 + 143233.51002162008*$t);
$Z0 += 0.00000000054*cos(3.38482031504 + 323049.11878710288*$t);
return $Z0;
}
function Earth_Z1($t) // 97 terms of order 1
{
$Z1 = 0.00000009031*cos(3.89751156799 + 5507.5532386674*$t);
$Z1 += 0.00000006179*cos(1.73051337995 + 5223.6939198022*$t);
$Z1 += 0.00000003793*cos(5.24575814515 + 2352.8661537718*$t);
$Z1 += 0.00000002840*cos(2.47694599818 + 1577.3435424478*$t);
$Z1 += 0.00000001817*cos(0.41874743765 + 6283.0758499914*$t);
$Z1 += 0.00000001499*cos(1.83320979291 + 5856.4776591154*$t);
$Z1 += 0.00000001463*cos(5.68891324948 + 5753.3848848968*$t);
$Z1 += 0.00000001302*cos(2.18800611215 + 9437.762934887*$t);
$Z1 += 0.00000001239*cos(4.95327097854 + 10213.285546211*$t);
$Z1 += 0.00000001029*cos(0.09367831611 + 7860.4193924392*$t);
$Z1 += 0.00000000975*cos(0.08833256880 + 14143.4952424306*$t);
$Z1 += 0.00000000851*cos(1.79547916132 + 3930.2096962196*$t);
$Z1 += 0.00000000581*cos(2.26949174067 + 5884.9268465832*$t);
$Z1 += 0.00000000515*cos(5.64196681593 + 529.6909650946*$t);
$Z1 += 0.00000000473*cos(6.22750969242 + 6309.3741697912*$t);
$Z1 += 0.00000000449*cos(1.52767374606 + 18073.7049386502*$t);
$Z1 += 0.00000000360*cos(3.62344325932 + 13367.9726311066*$t);
$Z1 += 0.00000000372*cos(3.22470721320 + 6275.9623029906*$t);
$Z1 += 0.00000000260*cos(1.87645933242 + 11790.6290886588*$t);
$Z1 += 0.00000000322*cos(0.94084045832 + 6069.7767545534*$t);
$Z1 += 0.00000000232*cos(0.27531852596 + 7058.5984613154*$t);
$Z1 += 0.00000000217*cos(6.03652873142 + 10977.078804699*$t);
$Z1 += 0.00000000232*cos(2.93325646109 + 22003.9146348698*$t);
$Z1 += 0.00000000204*cos(3.86264841382 + 6496.3749454294*$t);
$Z1 += 0.00000000189*cos(2.88937704419 + 15720.8387848784*$t);
$Z1 += 0.00000000179*cos(4.90537280911 + 12036.4607348882*$t);
$Z1 += 0.00000000222*cos(3.98495366315 + 6812.766815086*$t);
$Z1 += 0.00000000213*cos(1.57516933652 + 4694.0029547076*$t);
$Z1 += 0.00000000157*cos(1.08259734788 + 5643.1785636774*$t);
$Z1 += 0.00000000154*cos(5.99434678412 + 5486.777843175*$t);
$Z1 += 0.00000000137*cos(2.67760436027 + 6290.1893969922*$t);
$Z1 += 0.00000000179*cos(2.05905949693 + 7084.8967811152*$t);
$Z1 += 0.00000000121*cos(5.90212574947 + 9225.539273283*$t);
$Z1 += 0.00000000125*cos(2.24111392416 + 1059.3819301892*$t);
$Z1 += 0.00000000150*cos(2.00175038718 + 5230.807466803*$t);
$Z1 += 0.00000000149*cos(5.06157254516 + 17298.1823273262*$t);
$Z1 += 0.00000000118*cos(5.39979058038 + 3340.6124266998*$t);
$Z1 += 0.00000000161*cos(3.32421999691 + 6283.3196674749*$t);
$Z1 += 0.00000000115*cos(5.92406672373 + 4705.7323075436*$t);
$Z1 += 0.00000000118*cos(4.40207874911 + 19651.048481098*$t);
$Z1 += 0.00000000128*cos(4.35489873365 + 25934.1243310894*$t);
$Z1 += 0.00000000109*cos(2.52157834166 + 6438.4962494256*$t);
$Z1 += 0.00000000099*cos(2.70727488041 + 5216.5803728014*$t);
$Z1 += 0.00000000122;
$Z1 += 0.00000000103*cos(0.93782340879 + 8827.3902698748*$t);
$Z1 += 0.00000000083*cos(4.12473540351 + 8635.9420037632*$t);
$Z1 += 0.00000000097*cos(5.50959692365 + 29864.334027309*$t);
$Z1 += 0.00000000073*cos(1.73905345744 + 11506.7697697936*$t);
$Z1 += 0.00000000083*cos(5.69169692653 + 775.522611324*$t);
$Z1 += 0.00000000072*cos(0.21891639822 + 21228.3920235458*$t);
$Z1 += 0.00000000071*cos(2.86755026812 + 6681.2248533996*$t);
$Z1 += 0.00000000074*cos(2.20184828895 + 37724.7534197482*$t);
$Z1 += 0.00000000063*cos(4.45586625948 + 7079.3738568078*$t);
$Z1 += 0.00000000047*cos(2.04946724464 + 3128.3887650958*$t);
$Z1 += 0.00000000061*cos(0.63918772258 + 33794.5437235286*$t);
$Z1 += 0.00000000047*cos(3.32543843300 + 26087.9031415742*$t);
$Z1 += 0.00000000049*cos(1.60680905005 + 6702.5604938666*$t);
$Z1 += 0.00000000057*cos(0.11215813438 + 29088.811415985*$t);
$Z1 += 0.00000000049*cos(3.02832204050 + 20426.571092422*$t);
$Z1 += 0.00000000041*cos(5.55329394890 + 11015.1064773348*$t);
$Z1 += 0.00000000041*cos(5.91861144924 + 23581.2581773176*$t);
$Z1 += 0.00000000045*cos(2.00068583743 + 426.598190876*$t);
$Z1 += 0.00000000045*cos(4.95273290181 + 5863.5912061162*$t);
$Z1 += 0.00000000050*cos(3.62740835096 + 41654.9631159678*$t);
$Z1 += 0.00000000046*cos(1.65798680284 + 25158.6017197654*$t);
$Z1 += 0.00000000036*cos(5.61836577943 + 12566.1516999828*$t);
$Z1 += 0.00000000036*cos(6.24373396652 + 6283.14316029419*$t);
$Z1 += 0.00000000036*cos(0.40465162918 + 6283.0085396886*$t);
$Z1 += 0.00000000032*cos(6.09025731476 + 64809.80550494129*$t);
$Z1 += 0.00000000032*cos(6.03707103538 + 2942.4634232916*$t);
$Z1 += 0.00000000041*cos(4.86809570283 + 1592.5960136328*$t);
$Z1 += 0.00000000037*cos(1.04055368426 + 213.299095438*$t);
$Z1 += 0.00000000031*cos(3.62641145030 + 13095.8426650774*$t);
$Z1 += 0.00000000028*cos(4.38359423735 + 7632.9432596502*$t);
$Z1 += 0.00000000030*cos(2.03616887071 + 12139.5535091068*$t);
$Z1 += 0.00000000028*cos(6.03334294232 + 17789.845619785*$t);
$Z1 += 0.00000000026*cos(3.88971333608 + 5331.3574437408*$t);
$Z1 += 0.00000000031*cos(1.44666331503 + 16730.4636895958*$t);
$Z1 += 0.00000000026*cos(6.26376705837 + 23543.23050468179*$t);
$Z1 += 0.00000000023*cos(4.44388985550 + 18849.2275499742*$t);
$Z1 += 0.00000000025*cos(4.13395006026 + 3154.6870848956*$t);
$Z1 += 0.00000000028*cos(1.53862289477 + 6279.4854213396*$t);
$Z1 += 0.00000000028*cos(1.96831814872 + 6286.6662786432*$t);
$Z1 += 0.00000000028*cos(5.78094918529 + 15110.4661198662*$t);
$Z1 += 0.00000000025*cos(0.62040343662 + 10988.808157535*$t);
$Z1 += 0.00000000022*cos(6.02390113954 + 16496.3613962024*$t);
$Z1 += 0.00000000026*cos(2.48165809843 + 5729.506447149*$t);
$Z1 += 0.00000000020*cos(3.85655029499 + 9623.6882766912*$t);
$Z1 += 0.00000000021*cos(5.83006047147 + 7234.794256242*$t);
$Z1 += 0.00000000021*cos(0.69628570421 + 398.1490034082*$t);
$Z1 += 0.00000000022*cos(5.02222806555 + 6127.6554505572*$t);
$Z1 += 0.00000000020*cos(3.47611265290 + 6148.010769956*$t);
$Z1 += 0.00000000020*cos(0.90769829044 + 5481.2549188676*$t);
$Z1 += 0.00000000020*cos(0.03081589303 + 6418.1409300268*$t);
$Z1 += 0.00000000020*cos(3.74220084927 + 1589.0728952838*$t);
$Z1 += 0.00000000018*cos(1.58348238359 + 2118.7638603784*$t);
$Z1 += 0.00000000019*cos(0.85407021371 + 14712.317116458*$t);
return $Z1*$t;
}
function Earth_Z2($t) // 47 terms of order 2
{
$Z2 = 0.00000001662*cos(1.62703209173 + 84334.66158130829*$t);
$Z2 += 0.00000000492*cos(2.41382223971 + 1047.7473117547*$t);
$Z2 += 0.00000000344*cos(2.24353004539 + 5507.5532386674*$t);
$Z2 += 0.00000000258*cos(6.00906896311 + 5223.6939198022*$t);
$Z2 += 0.00000000131*cos(0.95447345240 + 6283.0758499914*$t);
$Z2 += 0.00000000086*cos(1.69139956945 + 7860.4193924392*$t);
$Z2 += 0.00000000090*cos(0.97606804452 + 1577.3435424478*$t);
$Z2 += 0.00000000090*cos(0.37899871725 + 2352.8661537718*$t);
$Z2 += 0.00000000089*cos(6.25807507963 + 10213.285546211*$t);
$Z2 += 0.00000000075*cos(0.84213523741 + 167621.57585086189*$t);
$Z2 += 0.00000000052*cos(1.70501566089 + 14143.4952424306*$t);
$Z2 += 0.00000000057*cos(6.15295833679 + 12194.0329146209*$t);
$Z2 += 0.00000000051*cos(1.27616016740 + 5753.3848848968*$t);
$Z2 += 0.00000000051*cos(5.37229738682 + 6812.766815086*$t);
$Z2 += 0.00000000034*cos(1.73672994279 + 7058.5984613154*$t);
$Z2 += 0.00000000038*cos(2.77761031485 + 10988.808157535*$t);
$Z2 += 0.00000000046*cos(3.38617099014 + 156475.2902479957*$t);
$Z2 += 0.00000000021*cos(1.95248349228 + 8827.3902698748*$t);
$Z2 += 0.00000000018*cos(3.33419222028 + 8429.2412664666*$t);
$Z2 += 0.00000000019*cos(4.32945160287 + 17789.845619785*$t);
$Z2 += 0.00000000017*cos(0.66191210656 + 6283.0085396886*$t);
$Z2 += 0.00000000018*cos(3.74885333072 + 11769.8536931664*$t);
$Z2 += 0.00000000017*cos(4.23058370776 + 10977.078804699*$t);
$Z2 += 0.00000000017*cos(1.78116162721 + 5486.777843175*$t);
$Z2 += 0.00000000018*cos(6.14348240716 + 11790.6290886588*$t);
$Z2 += 0.00000000022*cos(1.34376831204 + 12036.4607348882*$t);
$Z2 += 0.00000000017*cos(2.79601092529 + 796.2980068164*$t);
$Z2 += 0.00000000015*cos(1.17032155085 + 213.299095438*$t);
$Z2 += 0.00000000018*cos(2.85221514199 + 5088.6288397668*$t);
$Z2 += 0.00000000017*cos(0.21780913672 + 6283.14316029419*$t);
$Z2 += 0.00000000013*cos(1.21201504386 + 25132.3033999656*$t);
$Z2 += 0.00000000012*cos(5.13714452592 + 7079.3738568078*$t);
$Z2 += 0.00000000013*cos(3.79842135217 + 4933.2084403326*$t);
$Z2 += 0.00000000012*cos(4.89407978213 + 3738.761430108*$t);
$Z2 += 0.00000000015*cos(6.05682328852 + 398.1490034082*$t);
$Z2 += 0.00000000014*cos(4.81029291856 + 4694.0029547076*$t);
$Z2 += 0.00000000011*cos(0.61684523405 + 3128.3887650958*$t);
$Z2 += 0.00000000011*cos(5.32876538500 + 6040.3472460174*$t);
$Z2 += 0.00000000014*cos(5.27227350286 + 4535.0594369244*$t);
$Z2 += 0.00000000011*cos(2.39292099451 + 5331.3574437408*$t);
$Z2 += 0.00000000010*cos(4.45296532710 + 6525.8044539654*$t);
$Z2 += 0.00000000014*cos(4.66400985037 + 8031.0922630584*$t);
$Z2 += 0.00000000010*cos(3.22472385926 + 9437.762934887*$t);
$Z2 += 0.00000000011*cos(3.80913404437 + 801.8209311238*$t);
$Z2 += 0.00000000010*cos(5.15032130575 + 11371.7046897582*$t);
$Z2 += 0.00000000013*cos(0.98720797401 + 5729.506447149*$t);
$Z2 += 0.00000000009*cos(5.94191743597 + 7632.9432596502*$t);
return $Z2*$t*$t;
}
function Earth_Z3($t) // 11 terms of order 3
{
$Z3 = 0.00000000011*cos(0.23877262399 + 7860.4193924392*$t);
$Z3 += 0.00000000009*cos(1.16069982609 + 5507.5532386674*$t);
$Z3 += 0.00000000008*cos(1.65357552925 + 5884.9268465832*$t);
$Z3 += 0.00000000008*cos(2.86720038197 + 7058.5984613154*$t);
$Z3 += 0.00000000007*cos(3.04818741666 + 5486.777843175*$t);
$Z3 += 0.00000000007*cos(2.59437103785 + 529.6909650946*$t);
$Z3 += 0.00000000008*cos(4.02863090524 + 6256.7775301916*$t);
$Z3 += 0.00000000008*cos(2.42003508927 + 5753.3848848968*$t);
$Z3 += 0.00000000006*cos(0.84181087594 + 6275.9623029906*$t);
$Z3 += 0.00000000006*cos(5.40160929468 + 1577.3435424478*$t);
$Z3 += 0.00000000007*cos(2.73399865247 + 6309.3741697912*$t);
return $Z3*$t*$t*$t;
}
function Earth_Z4($t) // 5 terms of order 4
{
$Z4 = 0.00000000004*cos(0.79662198849 + 6438.4962494256*$t);
$Z4 += 0.00000000005*cos(0.84308705203 + 1047.7473117547*$t);
$Z4 += 0.00000000005*cos(0.05711572303 + 84334.66158130829*$t);
$Z4 += 0.00000000003*cos(3.46779895686 + 6279.5527316424*$t);
$Z4 += 0.00000000003*cos(2.89822201212 + 6127.6554505572*$t);
return $Z4*$t*$t*$t*$t;
}
function Earth_Z5($t) // 1 term of order 5
{
$Z5 = 0;
return $Z5;
}
?>