<?PHP
/*
******************************************************
MARS
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.
This source code is released to the public domain.
Jay Tanner
VSOP87@NeoProgrammics.com
******************************************************
*/
function Mars_hXYZR($JDArg)
{
// Compute time in Julian millennia from J2000.0
$t = ($JDArg - 2451545.0) / 365250.0;
// Compute the heliocentric coordinates for time ($t)
$hX = Mars_X0($t) + Mars_X1($t) + Mars_X2($t)
+ Mars_X3($t) + Mars_X4($t) + Mars_X5($t);
$hY = Mars_Y0($t) + Mars_Y1($t) + Mars_Y2($t)
+ Mars_Y3($t) + Mars_Y4($t) + Mars_Y5($t);
$hZ = Mars_Z0($t) + Mars_Z1($t) + Mars_Z2($t)
+ Mars_Z3($t) + Mars_Z4($t) + Mars_Z5($t);
// Compute heliocentric radius vector (distance).
$hR = SqRt($hX*$hX + $hY*$hY + $hZ*$hZ);
// Return the heliocentric XYZR coordinates
// in a space delimited data vector.
return "$hX $hY $hZ $hR";
}
/*
Mars - VSOP87 Series Version C3 - Rectangular (X,Y,Z) Coordinates
X = X-Coordinate in AU (Astronomical Units)
Y = Y-Coordinate in AU
Z = Z-Coordinate in AU
R*R = (X*X + Y*Y + Z*Z)
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
PHP Language
VSOP87 Functions Source Code
Generated By NeoProgrammics VSOP87 Code Generator
(c) Jay Tanner 2008
Ref:
Astronomy & Astrophysics
vol. 202, p309-p315
Pierre Bretagnon, Gerard Francou
1988
*/
function Mars_X0($t) // 1907 terms of order 0
{
$X0 = 1.51664432758*cos(6.20347631684 + 3340.8562441833*$t);
$X0 += 0.21337343470*cos(2.72390342700 + 0.2438174835*$t);
$X0 += 0.07067734657*cos(0.25841679630 + 6681.46867088311*$t);
$X0 += 0.00494034875*cos(0.59654023167 + 10022.0810975829*$t);
$X0 += 0.00135189385*cos(0.59603904502 + 3340.36860921629*$t);
$X0 += 0.00040927830*cos(0.93466338314 + 13362.6935242827*$t);
$X0 += 0.00021051988*cos(1.80377821704 + 3337.33312583431*$t);
$X0 += 0.00021027270*cos(1.17839785680 + 3344.3793625323*$t);
$X0 += 0.00011370204*cos(4.83238126700 + 1059.6257476727*$t);
$X0 += 0.00013426076*cos(0.63015591517 + 529.9347825781*$t);
$X0 += 0.00006769403*cos(3.61729412618 + 3340.83899053111*$t);
$X0 += 0.00006769355*cos(5.64806575768 + 3340.8734978355*$t);
$X0 += 0.00008285925*cos(1.86109008374 + 2280.98667902709*$t);
$X0 += 0.00005433910*cos(1.11806362109 + 2942.7072407751*$t);
$X0 += 0.00004813330*cos(1.85023048147 + 3739.0052475915*$t);
$X0 += 0.00004893493*cos(4.42760397790 + 5622.08674069391*$t);
$X0 += 0.00005269759*cos(2.33019561512 + 6151.7777057885*$t);
$X0 += 0.00003774767*cos(0.82510516838 + 6680.98103591609*$t);
$X0 += 0.00003623045*cos(6.10862866873 + 796.5418242999*$t);
$X0 += 0.00003725058*cos(1.27278649428 + 16703.3059509825*$t);
$X0 += 0.00003767289*cos(1.22204844262 + 398.3928208917*$t);
$X0 += 0.00002396177*cos(0.63496836160 + 3149.4079780717*$t);
$X0 += 0.00002262756*cos(2.34867489134 + 3532.3045102949*$t);
$X0 += 0.00001976674*cos(2.14058651048 + 6677.9455525341*$t);
$X0 += 0.00002227632*cos(1.69533548136 + 3340.78893388051*$t);
$X0 += 0.00002227573*cos(1.28683909451 + 3340.9235544861*$t);
$X0 += 0.00001950645*cos(2.72809117200 + 2544.5582373669*$t);
$X0 += 0.00002179897*cos(1.69534718656 + 6283.3196674749*$t);
$X0 += 0.00001684046*cos(3.14928536452 + 5885.1706640667*$t);
$X0 += 0.00002237564*cos(4.82103877835 + 8962.6991673937*$t);
$X0 += 0.00001629438*cos(0.24065025766 + 4137.1542509997*$t);
$X0 += 0.00001957286*cos(1.51885757913 + 6684.9917892321*$t);
$X0 += 0.00001382161*cos(2.17182492289 + 1751.2957139325*$t);
$X0 += 0.00001364523*cos(0.46059571034 + 2811.1652790887*$t);
$X0 += 0.00001285835*cos(4.70544160337 + 1194.6908277081*$t);
$X0 += 0.00001468951*cos(1.87682106061 + 3870.54720927791*$t);
$X0 += 0.00001572210*cos(4.84784531890 + 1589.3167127673*$t);
$X0 += 0.00000955879*cos(5.37058897391 + 426.8420083595*$t);
$X0 += 0.00000819304*cos(5.15875122140 + 4400.2381743725*$t);
$X0 += 0.00000714429*cos(2.92303461187 + 191.2044486281*$t);
$X0 += 0.00000719663*cos(2.65486751128 + 9492.3901324883*$t);
$X0 += 0.00000643260*cos(4.55789424001 + 5487.0216606585*$t);
$X0 += 0.00000795172*cos(4.39660517598 + 5092.3957755993*$t);
$X0 += 0.00000630906*cos(3.95541777233 + 6681.45141723091*$t);
$X0 += 0.00000630906*cos(5.98618940383 + 6681.4859245353*$t);
$X0 += 0.00000782173*cos(1.16801410137 + 5091.90814063229*$t);
$X0 += 0.00000703756*cos(0.96657545612 + 213.5429129215*$t);
$X0 += 0.00000581847*cos(3.95231836766 + 3185.43584474911*$t);
$X0 += 0.00000553454*cos(5.31409832853 + 3496.2766436175*$t);
$X0 += 0.00000663460*cos(3.74354794256 + 2544.07060239989*$t);
$X0 += 0.00000491963*cos(2.17574433513 + 7079.61767429131*$t);
$X0 += 0.00000426327*cos(5.14926594152 + 2145.92159899169*$t);
$X0 += 0.00000533910*cos(3.30010366565 + 1592.8398311163*$t);
$X0 += 0.00000386953*cos(5.07337650750 + 8433.00820229911*$t);
$X0 += 0.00000417478*cos(3.96425682190 + 3339.8759231151*$t);
$X0 += 0.00000417367*cos(5.30109299779 + 3341.83656525151*$t);
$X0 += 0.00000359961*cos(1.61089747813 + 20043.9183776823*$t);
$X0 += 0.00000352641*cos(3.88893523415 + 6254.8704800071*$t);
$X0 += 0.00000351819*cos(5.16992059902 + 12303.3115940935*$t);
$X0 += 0.00000321320*cos(1.94435133813 + 3554.1553396213*$t);
$X0 += 0.00000377309*cos(4.13476329642 + 2146.4092339587*$t);
$X0 += 0.00000307274*cos(0.94421931529 + 3127.5571487453*$t);
$X0 += 0.00000284287*cos(2.03419702203 + 7.3573644843*$t);
$X0 += 0.00000259684*cos(1.89385284662 + 1990.9888345245*$t);
$X0 += 0.00000246886*cos(0.27164096909 + 1747.7725955835*$t);
$X0 += 0.00000313688*cos(5.10599974151 + 4535.3032544079*$t);
$X0 += 0.00000271483*cos(1.94778284200 + 6468.1695754451*$t);
$X0 += 0.00000298122*cos(5.96616996596 + 5088.8726572503*$t);
$X0 += 0.00000223194*cos(3.55284314213 + 3320.0808486909*$t);
$X0 += 0.00000221461*cos(5.71228247661 + 3361.6316396757*$t);
$X0 += 0.00000233899*cos(2.03689241948 + 9623.9320941747*$t);
$X0 += 0.00000207617*cos(2.03345912239 + 6681.40136058031*$t);
$X0 += 0.00000205148*cos(1.85775607260 + 10025.6042159319*$t);
$X0 += 0.00000207784*cos(2.47827795124 + 10018.5579792339*$t);
$X0 += 0.00000193198*cos(4.93193682847 + 2119.00767786191*$t);
$X0 += 0.00000218630*cos(0.97526221043 + 6490.0204047715*$t);
$X0 += 0.00000247990*cos(1.31792500524 + 2913.7704183403*$t);
$X0 += 0.00000207617*cos(1.62496273555 + 6681.5359811859*$t);
$X0 += 0.00000178587*cos(2.54120991611 + 1221.6047488379*$t);
$X0 += 0.00000178400*cos(1.02824622233 + 10021.5934626159*$t);
$X0 += 0.00000164293*cos(1.09050742498 + 4690.7236538421*$t);
$X0 += 0.00000157091*cos(0.48700512124 + 2389.1378379327*$t);
$X0 += 0.00000151308*cos(1.43281018748 + 4562.2171755377*$t);
$X0 += 0.00000177027*cos(4.27007713386 + 2957.9597119601*$t);
$X0 += 0.00000147685*cos(2.47506585562 + 7211.1596359777*$t);
$X0 += 0.00000164646*cos(0.57567045734 + 7477.7666776995*$t);
$X0 += 0.00000153884*cos(4.44526715317 + 640.1411037975*$t);
$X0 += 0.00000157989*cos(4.99618947427 + 3723.7527764065*$t);
$X0 += 0.00000146757*cos(4.41545990951 + 3337.26581553151*$t);
$X0 += 0.00000166434*cos(3.16925511951 + 10213.5293636945*$t);
$X0 += 0.00000146132*cos(4.84659253705 + 3344.4466728351*$t);
$X0 += 0.00000118082*cos(4.29228989356 + 4562.70481050471*$t);
$X0 += 0.00000119770*cos(4.65884659981 + 11773.6206289989*$t);
$X0 += 0.00000113695*cos(2.49810201078 + 4292.5746504339*$t);
$X0 += 0.00000143954*cos(5.36191839973 + 2787.2868413409*$t);
$X0 += 0.00000113828*cos(3.49219829771 + 3333.7426971825*$t);
$X0 += 0.00000112131*cos(0.07204419182 + 3205.7911641479*$t);
$X0 += 0.00000144684*cos(1.67820772946 + 1349.62359217529*$t);
$X0 += 0.00000118108*cos(5.18561000649 + 4929.92913946711*$t);
$X0 += 0.00000106690*cos(2.90949586529 + 3475.92132421871*$t);
$X0 += 0.00000120237*cos(3.40929466701 + 9225.7830907665*$t);
$X0 += 0.00000119599*cos(3.90588399352 + 3894.4256470257*$t);
$X0 += 0.00000104910*cos(5.51977893032 + 382.6527147397*$t);
$X0 += 0.00000095920*cos(5.81540533813 + 3347.96979118411*$t);
$X0 += 0.00000093778*cos(5.54256544882 + 1748.2602305505*$t);
$X0 += 0.00000088754*cos(2.98682152461 + 12833.00255918811*$t);
$X0 += 0.00000112794*cos(5.89797835701 + 155.17658195069*$t);
$X0 += 0.00000091596*cos(3.08454019471 + 951.4745887671*$t);
$X0 += 0.00000086667*cos(0.43803962703 + 3098.1276402093*$t);
$X0 += 0.00000118500*cos(0.52380467505 + 7902.8296022375*$t);
$X0 += 0.00000089906*cos(2.29494981588 + 2942.21960580809*$t);
$X0 += 0.00000085205*cos(4.21443205483 + 2281.4743139941*$t);
$X0 += 0.00000113660*cos(5.58557229219 + 5486.53402569149*$t);
$X0 += 0.00000080640*cos(2.54197906469 + 3583.5848481573*$t);
$X0 += 0.00000085344*cos(3.68498025243 + 4933.4522578161*$t);
$X0 += 0.00000084447*cos(0.97974209820 + 6674.3551238823*$t);
$X0 += 0.00000079513*cos(0.70956398510 + 5088.3850222833*$t);
$X0 += 0.00000101901*cos(0.62374863015 + 529.44714761109*$t);
$X0 += 0.00000073054*cos(5.03109665468 + 1052.51220067191*$t);
$X0 += 0.00000073997*cos(5.88971113539 + 3767.4544350593*$t);
$X0 += 0.00000070372*cos(4.49111053246 + 553.32558535889*$t);
$X0 += 0.00000091916*cos(4.26029980883 + 9595.4829067069*$t);
$X0 += 0.00000073607*cos(5.48588623719 + 7740.8506010723*$t);
$X0 += 0.00000066068*cos(1.60352414710 + 1066.7392946735*$t);
$X0 += 0.00000081219*cos(4.00417692850 + 2810.6776441217*$t);
$X0 += 0.00000066430*cos(2.30115866241 + 2700.4713229023*$t);
$X0 += 0.00000054145*cos(4.29245819665 + 6526.04827144891*$t);
$X0 += 0.00000059768*cos(4.81363180968 + 6041.5713845691*$t);
$X0 += 0.00000066173*cos(0.04112658538 + 10022.0983512351*$t);
$X0 += 0.00000049883*cos(5.09321137459 + 3312.4070567155*$t);
$X0 += 0.00000049178*cos(4.17234313530 + 3369.3054316511*$t);
$X0 += 0.00000048202*cos(5.03755934935 + 397.9051859247*$t);
$X0 += 0.00000047310*cos(5.51367266321 + 15643.9240207933*$t);
$X0 += 0.00000048401*cos(1.00254354626 + 3.76693583251*$t);
$X0 += 0.00000066173*cos(4.29354026107 + 10022.06384393071*$t);
$X0 += 0.00000043167*cos(2.11330967332 + 4690.23601887509*$t);
$X0 += 0.00000052329*cos(5.35612779574 + 7903.3172372045*$t);
$X0 += 0.00000043258*cos(1.94634380811 + 149.8070146181*$t);
$X0 += 0.00000053318*cos(2.50854201221 + 10420.23010099111*$t);
$X0 += 0.00000038925*cos(5.63931982315 + 6682.44899195131*$t);
$X0 += 0.00000043058*cos(2.71172733627 + 3325.6037729983*$t);
$X0 += 0.00000042835*cos(0.27036084223 + 3356.10871536831*$t);
$X0 += 0.00000049042*cos(5.09197877772 + 2273.8731320263*$t);
$X0 += 0.00000045897*cos(1.73176272729 + 2288.1002260279*$t);
$X0 += 0.00000036267*cos(1.94902636545 + 23384.5308043821*$t);
$X0 += 0.00000050027*cos(4.92232111087 + 5621.5991057269*$t);
$X0 += 0.00000041152*cos(3.60849241104 + 537.0483295789*$t);
$X0 += 0.00000038722*cos(0.77097024087 + 522.8212355773*$t);
$X0 += 0.00000044751*cos(4.31225718691 + 3077.77232081051*$t);
$X0 += 0.00000031695*cos(4.22324584554 + 5629.2002876947*$t);
$X0 += 0.00000031478*cos(2.26370333180 + 5331.6012612243*$t);
$X0 += 0.00000033349*cos(2.12149635572 + 242.97242145751*$t);
$X0 += 0.00000036130*cos(2.27448966151 + 9808.78200214491*$t);
$X0 += 0.00000031660*cos(5.11359333219 + 2648.6986429565*$t);
$X0 += 0.00000039058*cos(4.30336342995 + 6680.4883498149*$t);
$X0 += 0.00000032374*cos(5.44019764272 + 7875.91568110771*$t);
$X0 += 0.00000038493*cos(2.35050388066 + 6894.76776632111*$t);
$X0 += 0.00000040044*cos(4.95433661511 + 3603.9401675561*$t);
$X0 += 0.00000027893*cos(0.75588690511 + 7373.13863714289*$t);
$X0 += 0.00000027665*cos(2.37934374634 + 12964.5445208745*$t);
$X0 += 0.00000027878*cos(0.66739091469 + 1350.1112271423*$t);
$X0 += 0.00000028322*cos(2.53961838260 + 8030.8484455749*$t);
$X0 += 0.00000028486*cos(1.37297559963 + 5614.9731936931*$t);
$X0 += 0.00000029761*cos(5.41923539807 + 3178.38960805111*$t);
$X0 += 0.00000035657*cos(1.13413038335 + 8428.9974489831*$t);
$X0 += 0.00000028159*cos(3.83299371524 + 3503.3228803155*$t);
$X0 += 0.00000027295*cos(5.85818083120 + 213.0552779545*$t);
$X0 += 0.00000024083*cos(4.10582287293 + 4033.0138454101*$t);
$X0 += 0.00000023726*cos(3.79203465807 + 3320.50092478451*$t);
$X0 += 0.00000023543*cos(5.47205540117 + 3361.2115635821*$t);
$X0 += 0.00000024407*cos(1.62000405809 + 76.50988875911*$t);
$X0 += 0.00000022360*cos(4.86162540597 + 15114.2330556987*$t);
$X0 += 0.00000022681*cos(2.19545260317 + 13366.21664263171*$t);
$X0 += 0.00000030767*cos(1.97333726282 + 102.84895673509*$t);
$X0 += 0.00000023116*cos(4.24443125854 + 1692.40948698591*$t);
$X0 += 0.00000024795*cos(2.94450891135 + 691.9137837433*$t);
$X0 += 0.00000021819*cos(1.96227087233 + 10022.1484078857*$t);
$X0 += 0.00000021420*cos(3.90434583630 + 6660.6932753907*$t);
$X0 += 0.00000020686*cos(4.09172464650 + 1582.2031657665*$t);
$X0 += 0.00000025165*cos(0.35004555829 + 3335.3333198759*$t);
$X0 += 0.00000021819*cos(2.37076725917 + 10022.01378728011*$t);
$X0 += 0.00000025110*cos(2.63051920012 + 3346.3791684907*$t);
$X0 += 0.00000022778*cos(1.31432064900 + 9830.6328314713*$t);
$X0 += 0.00000021875*cos(4.80561875471 + 11243.9296639043*$t);
$X0 += 0.00000019487*cos(2.47923244785 + 3336.8454908673*$t);
$X0 += 0.00000025048*cos(2.47380350738 + 1648.2029397139*$t);
$X0 += 0.00000019285*cos(0.96932439937 + 3330.2195788335*$t);
$X0 += 0.00000019206*cos(2.01113330365 + 3351.49290953311*$t);
$X0 += 0.00000019577*cos(0.82781613472 + 6438.7400669091*$t);
$X0 += 0.00000023713*cos(0.78696317220 + 796.0541893329*$t);
$X0 += 0.00000018024*cos(0.80164082178 + 3.2793008655*$t);
$X0 += 0.00000017457*cos(0.90670155624 + 6872.91693699471*$t);
$X0 += 0.00000020758*cos(2.68199279076 + 2914.2580533073*$t);
$X0 += 0.00000023325*cos(2.81224294003 + 1758.40926093329*$t);
$X0 += 0.00000019762*cos(1.19465593585 + 2818.2788260895*$t);
$X0 += 0.00000018903*cos(1.70198303484 + 3863.4336622771*$t);
$X0 += 0.00000018548*cos(1.86435352340 + 3343.8917275653*$t);
$X0 += 0.00000020024*cos(5.23513746258 + 9382.18381126891*$t);
$X0 += 0.00000023004*cos(2.81536425224 + 13359.1704059337*$t);
$X0 += 0.00000020686*cos(6.04843065741 + 6702.2440663755*$t);
$X0 += 0.00000017546*cos(0.76946873055 + 3074.24920246151*$t);
$X0 += 0.00000021953*cos(6.16726175116 + 10713.75106384269*$t);
$X0 += 0.00000022478*cos(3.36629130965 + 3531.81687532789*$t);
$X0 += 0.00000017443*cos(6.23925536469 + 7063.87756813929*$t);
$X0 += 0.00000016475*cos(1.75316661727 + 8432.52056733209*$t);
$X0 += 0.00000016284*cos(4.60826689329 + 6298.57213865991*$t);
$X0 += 0.00000016296*cos(2.90679614817 + 10551.7720626775*$t);
$X0 += 0.00000021367*cos(3.52004981807 + 4292.0870154669*$t);
$X0 += 0.00000015862*cos(5.88391024825 + 3723.26514143949*$t);
$X0 += 0.00000016182*cos(3.94577566715 + 7632.6994421667*$t);
$X0 += 0.00000018728*cos(1.73152268876 + 4032.52621044309*$t);
$X0 += 0.00000017711*cos(0.91113854617 + 10818.3791043993*$t);
$X0 += 0.00000016214*cos(2.21183941484 + 3607.46328590511*$t);
$X0 += 0.00000020207*cos(0.50430731047 + 2708.07250487011*$t);
$X0 += 0.00000017851*cos(5.47859973724 + 6836.8890703173*$t);
$X0 += 0.00000014367*cos(3.47695884338 + 8429.4850839501*$t);
$X0 += 0.00000016523*cos(2.14637482599 + 6158.8912527893*$t);
$X0 += 0.00000019608*cos(3.51602051779 + 853.4401992355*$t);
$X0 += 0.00000014968*cos(1.03757514888 + 6531.9054737485*$t);
$X0 += 0.00000013797*cos(2.36391887749 + 419.72846135871*$t);
$X0 += 0.00000013414*cos(2.94536295838 + 3127.0695137783*$t);
$X0 += 0.00000015245*cos(2.24543615829 + 7064.3652031063*$t);
$X0 += 0.00000015674*cos(4.46460349265 + 3333.8100074853*$t);
$X0 += 0.00000013513*cos(5.18432808372 + 6685.0590995349*$t);
$X0 += 0.00000016177*cos(0.84378599845 + 5729.7502646325*$t);
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$X0 += 0.00000002025*cos(3.15545503806 + 16460.08971204149*$t);
$X0 += 0.00000002756*cos(1.37300158683 + 9872.5179004483*$t);
$X0 += 0.00000002586*cos(4.03791457497 + 15110.7099373497*$t);
$X0 += 0.00000001977*cos(2.37034987225 + 3340.3012989135*$t);
$X0 += 0.00000002046*cos(5.79910745940 + 1214.4912018371*$t);
$X0 += 0.00000002049*cos(1.54711450837 + 1545.1101654953*$t);
$X0 += 0.00000002016*cos(5.80333241967 + 6701.8239902819*$t);
$X0 += 0.00000002591*cos(1.78624782563 + 4459.12440131909*$t);
$X0 += 0.00000001944*cos(1.56628544269 + 793.0187059509*$t);
$X0 += 0.00000001969*cos(0.98471628518 + 8543.2145235185*$t);
$X0 += 0.00000002221*cos(4.13093986960 + 6661.11335148431*$t);
$X0 += 0.00000002185*cos(0.10437662983 + 10042.8564930753*$t);
$X0 += 0.00000001909*cos(0.37281275566 + 14054.36349054249*$t);
$X0 += 0.00000002355*cos(2.21625400824 + 6461.0560284443*$t);
$X0 += 0.00000001945*cos(2.09907033054 + 12296.1980470927*$t);
$X0 += 0.00000001856*cos(1.97074291339 + 3417.1223154589*$t);
$X0 += 0.00000001964*cos(3.73559626157 + 3230.64992296391*$t);
$X0 += 0.00000001841*cos(4.95467577248 + 16276.7077601065*$t);
$X0 += 0.00000001867*cos(1.87467602822 + 6438.2524319421*$t);
$X0 += 0.00000002124*cos(1.88480889248 + 14.47091148511*$t);
$X0 += 0.00000001889*cos(2.84240400113 + 2946.2303591241*$t);
$X0 += 0.00000002273*cos(4.24795887217 + 10001.3057020905*$t);
$X0 += 0.00000001977*cos(1.96185346705 + 3340.43591951909*$t);
$X0 += 0.00000001852*cos(4.40722802585 + 2751.79141717511*$t);
$X0 += 0.00000001888*cos(2.02744109255 + 3502.8352453485*$t);
$X0 += 0.00000001924*cos(2.83351941687 + 205.9417309537*$t);
$X0 += 0.00000001900*cos(2.30804703412 + 9778.8648586419*$t);
$X0 += 0.00000001840*cos(4.83205314537 + 6457.1238751812*$t);
$X0 += 0.00000002215*cos(2.48697776679 + 9499.5036794891*$t);
$X0 += 0.00000001806*cos(2.18544314025 + 2676.10019905331*$t);
$X0 += 0.00000001805*cos(2.35009306355 + 6692.10533623291*$t);
$X0 += 0.00000001869*cos(0.41860742717 + 13554.1417903943*$t);
$X0 += 0.00000002416*cos(2.70970478916 + 13362.62621397991*$t);
$X0 += 0.00000002281*cos(3.85791196552 + 6643.3356352453*$t);
$X0 += 0.00000002183*cos(4.94105874519 + 21.0192129759*$t);
$X0 += 0.00000001774*cos(0.68167607326 + 323.74923414091*$t);
$X0 += 0.00000001748*cos(4.57092956799 + 5033.0219136857*$t);
$X0 += 0.00000001767*cos(4.66859088892 + 4555.10362853689*$t);
$X0 += 0.00000001973*cos(5.03143174563 + 12310.42514109431*$t);
$X0 += 0.00000002109*cos(2.11500033422 + 7204.04608897691*$t);
$X0 += 0.00000002169*cos(1.31433847015 + 3148.9203431047*$t);
$X0 += 0.00000001672*cos(2.55080387851 + 6948.0757126049*$t);
$X0 += 0.00000001685*cos(5.64872462506 + 1434.9038442759*$t);
$X0 += 0.00000002274*cos(0.32514053197 + 17256.38771885789*$t);
$X0 += 0.00000001724*cos(0.89161382376 + 103.3365917021*$t);
$X0 += 0.00000001921*cos(1.09598172014 + 800.06494264891*$t);
$X0 += 0.00000001651*cos(5.91048794937 + 6756.2502694504*$t);
$X0 += 0.00000001660*cos(4.94562345671 + 9639.18456535971*$t);
$X0 += 0.00000001575*cos(6.09206295741 + 7910.4307842053*$t);
$X0 += 0.00000001556*cos(5.31271132117 + 743.23387801611*$t);
$X0 += 0.00000001578*cos(2.33595912935 + 5614.48555872609*$t);
$X0 += 0.00000002080*cos(2.73283134198 + 13119.47728534169*$t);
$X0 += 0.00000002163*cos(0.52943676546 + 28.6930049513*$t);
$X0 += 0.00000001532*cos(0.78840953974 + 4005.61228931331*$t);
$X0 += 0.00000001548*cos(1.53438288417 + 6578.3758966645*$t);
$X0 += 0.00000002036*cos(1.14812219907 + 9779.3524936089*$t);
$X0 += 0.00000001534*cos(5.67314504699 + 2679.62331740231*$t);
$X0 += 0.00000001855*cos(5.59012601568 + 1039.27042827391*$t);
$X0 += 0.00000001554*cos(0.58249651167 + 14314.4119305333*$t);
$X0 += 0.00000001555*cos(0.27389127072 + 10029.1946445837*$t);
$X0 += 0.00000001553*cos(3.89948887717 + 4194.0526259353*$t);
$X0 += 0.00000001869*cos(0.58467331713 + 3113.3801113943*$t);
$X0 += 0.00000001547*cos(1.64100920813 + 13355.57997728191*$t);
$X0 += 0.00000001463*cos(2.71025544519 + 3362.70707350971*$t);
$X0 += 0.00000001463*cos(0.27191881986 + 3319.0054148569*$t);
$X0 += 0.00000001468*cos(0.04316622889 + 632.5399218297*$t);
$X0 += 0.00000001867*cos(3.32731443087 + 13892.3844893773*$t);
$X0 += 0.00000001483*cos(5.79145984345 + 2604.9797306515*$t);
$X0 += 0.00000001445*cos(5.72146800920 + 12994.9815603533*$t);
$X0 += 0.00000001444*cos(5.09058625219 + 10018.4906689311*$t);
$X0 += 0.00000001862*cos(1.31686189323 + 6670.8320055333*$t);
$X0 += 0.00000001428*cos(6.05106658591 + 9468.51169474051*$t);
$X0 += 0.00000001440*cos(3.90166704313 + 2641.5850959557*$t);
$X0 += 0.00000001456*cos(4.84813606347 + 3929.9210711915*$t);
$X0 += 0.00000001515*cos(4.40854499352 + 4922.8155924663*$t);
$X0 += 0.00000001642*cos(1.18330968138 + 9070.3626913323*$t);
$X0 += 0.00000001501*cos(0.37274885135 + 664.99986261351*$t);
$X0 += 0.00000001434*cos(5.73698094815 + 3283.9578692477*$t);
$X0 += 0.00000001756*cos(5.88702162431 + 4672.91113172411*$t);
$X0 += 0.00000001552*cos(0.75524999537 + 9887.0160175475*$t);
$X0 += 0.00000001430*cos(5.52560820233 + 10025.6715262347*$t);
$X0 += 0.00000001459*cos(2.43643676312 + 2693.3577759015*$t);
$X0 += 0.00000001423*cos(3.57254753277 + 19800.7021387413*$t);
$X0 += 0.00000001403*cos(3.52793861890 + 3397.7546191189*$t);
$X0 += 0.00000001451*cos(2.92581468083 + 13745.5900565059*$t);
$X0 += 0.00000001366*cos(1.27672056082 + 4555.59126350391*$t);
$X0 += 0.00000001580*cos(3.47199309807 + 699.02733074409*$t);
$X0 += 0.00000001700*cos(2.39703980797 + 3568.3323769723*$t);
$X0 += 0.00000001599*cos(5.02449812818 + 3212.83740084591*$t);
$X0 += 0.00000001492*cos(3.59408030079 + 6155.3008241375*$t);
$X0 += 0.00000001463*cos(2.61399249960 + 1015.4192004007*$t);
$X0 += 0.00000001302*cos(5.67390860842 + 5625.6098590429*$t);
$X0 += 0.00000001329*cos(6.06855511718 + 3334.1725803092*$t);
$X0 += 0.00000001329*cos(3.19680445505 + 3347.53990805741*$t);
$X0 += 0.00000001503*cos(0.26668514170 + 3378.98927982111*$t);
$X0 += 0.00000001397*cos(3.16602524069 + 588.8210095247*$t);
$X0 += 0.00000001500*cos(4.30672667001 + 3.6883357796*$t);
$X0 += 0.00000001522*cos(4.24249365559 + 3468.8750875207*$t);
$X0 += 0.00000001286*cos(1.87461279962 + 3152.93109642071*$t);
$X0 += 0.00000001600*cos(1.40701843693 + 1905.70858242391*$t);
$X0 += 0.00000001339*cos(2.85153623164 + 2699.49100183409*$t);
$X0 += 0.00000001563*cos(4.74033234784 + 6674.4224341851*$t);
$X0 += 0.00000001455*cos(5.62085725030 + 8800.2325312615*$t);
$X0 += 0.00000001337*cos(3.86347754064 + 2277.4635606781*$t);
$X0 += 0.00000001259*cos(3.26565882972 + 3742.5283659405*$t);
$X0 += 0.00000001315*cos(0.15620262737 + 1191.1677093591*$t);
$X0 += 0.00000001298*cos(3.23907368211 + 17395.4635522093*$t);
$X0 += 0.00000001692*cos(1.98709811396 + 8646.30729773711*$t);
$X0 += 0.00000001571*cos(5.17275397472 + 3451.0625654027*$t);
$X0 += 0.00000001377*cos(2.49780736724 + 7255.3258342509*$t);
$X0 += 0.00000001223*cos(2.13508431892 + 17654.5367222661*$t);
$X0 += 0.00000001272*cos(6.25716699988 + 6997.8605405397*$t);
$X0 += 0.00000001293*cos(5.24149508087 + 10125.1738718015*$t);
$X0 += 0.00000001205*cos(2.87986284577 + 74.53778108379*$t);
$X0 += 0.00000001193*cos(1.03222295834 + 6685.3500062411*$t);
$X0 += 0.00000001184*cos(0.91434121954 + 2178.3815397755*$t);
$X0 += 0.00000001175*cos(3.46872073630 + 4076.7327577151*$t);
$X0 += 0.00000001203*cos(5.75196130140 + 11670.5278547803*$t);
$X0 += 0.00000001334*cos(3.53686819132 + 59.13004443009*$t);
$X0 += 0.00000001144*cos(0.93257993677 + 3191.29304704871*$t);
$X0 += 0.00000001205*cos(4.89787234183 + 6688.51490758111*$t);
$X0 += 0.00000001228*cos(1.09370444041 + 2391.6806352135*$t);
$X0 += 0.00000001148*cos(4.01619565855 + 4886.21022716211*$t);
$X0 += 0.00000001116*cos(6.08825399135 + 15.49628866851*$t);
$X0 += 0.00000001253*cos(3.48476988361 + 66.2435914309*$t);
$X0 += 0.00000001122*cos(5.35041736715 + 4040.12739241091*$t);
$X0 += 0.00000001358*cos(3.77878000346 + 7895.7160552367*$t);
$X0 += 0.00000001102*cos(3.98446017631 + 6365.0768012265*$t);
$X0 += 0.00000001406*cos(4.37889002094 + 9588.3693597061*$t);
$X0 += 0.00000001171*cos(5.20706500181 + 2772.0343701559*$t);
$X0 += 0.00000001123*cos(5.00444898311 + 19402.55313533309*$t);
$X0 += 0.00000001128*cos(4.98002753288 + 6622.0948089695*$t);
$X0 += 0.00000001312*cos(5.17135511580 + 3311.4267356473*$t);
$X0 += 0.00000001312*cos(4.09400445643 + 3370.2857527193*$t);
$X0 += 0.00000001101*cos(5.78974461016 + 3774.56798206011*$t);
$X0 += 0.00000001088*cos(3.28977902817 + 6148.2545874395*$t);
$X0 += 0.00000001229*cos(2.53762292335 + 3145.8848597227*$t);
$X0 += 0.00000001354*cos(0.93200823976 + 4136.66661603269*$t);
$X0 += 0.00000001266*cos(5.61557722066 + 6887.6542193203*$t);
$X0 += 0.00000001192*cos(3.10049513646 + 2284.5097973761*$t);
$X0 += 0.00000001059*cos(5.93800224665 + 1198.21394605711*$t);
$X0 += 0.00000001222*cos(4.54200893982 + 3184.4555236809*$t);
$X0 += 0.00000001094*cos(3.07328576578 + 2074.8011305899*$t);
$X0 += 0.00000001086*cos(4.32081022849 + 2325.1932262991*$t);
$X0 += 0.00000001116*cos(5.86191156738 + 11611.1539928667*$t);
$X0 += 0.00000001041*cos(2.09105531099 + 6684.5041542651*$t);
$X0 += 0.00000001105*cos(6.08678077494 + 5618.5636223449*$t);
$X0 += 0.00000001218*cos(3.59654741580 + 10157.14617761831*$t);
$X0 += 0.00000001292*cos(0.40837478006 + 7909.94314923829*$t);
$X0 += 0.00000001193*cos(2.62619989298 + 6677.5873355251*$t);
$X0 += 0.00000001011*cos(0.31388757278 + 2494.28577446509*$t);
$X0 += 0.00000001102*cos(5.26415591186 + 7321.36595719711*$t);
$X0 += 0.00000001001*cos(1.63432488835 + 11766.5070819981*$t);
$X0 += 0.00000001048*cos(4.13993269564 + 12721.32828193349*$t);
$X0 += 0.00000000990*cos(5.95408825469 + 3181.91272640011*$t);
$X0 += 0.00000001146*cos(4.72386914625 + 3497.2569646857*$t);
$X0 += 0.00000000991*cos(1.49586957068 + 4140.6773693487*$t);
$X0 += 0.00000001269*cos(5.19929518288 + 3188.95896309811*$t);
$X0 += 0.00000001254*cos(4.92591337114 + 6034.4578375683*$t);
$X0 += 0.00000001293*cos(1.92197905113 + 1.7282901918*$t);
$X0 += 0.00000001206*cos(5.33211209828 + 6740.84253279671*$t);
$X0 += 0.00000001073*cos(2.22955826533 + 9389.2973582697*$t);
$X0 += 0.00000001361*cos(1.69731268075 + 9945.8150263073*$t);
$X0 += 0.00000000977*cos(1.92768164917 + 3319.52060371631*$t);
$X0 += 0.00000000977*cos(1.05449261588 + 3362.1918846503*$t);
$X0 += 0.00000000969*cos(6.07412163761 + 1272.9248431107*$t);
$X0 += 0.00000001176*cos(1.01032312893 + 9602.5964537077*$t);
$X0 += 0.00000001347*cos(3.63306292592 + 19514.2274125877*$t);
$X0 += 0.00000001073*cos(2.70812081471 + 6677.4579175671*$t);
$X0 += 0.00000000968*cos(5.81625170021 + 522.3336006103*$t);
$X0 += 0.00000001192*cos(3.92438816098 + 1222.09238380491*$t);
$X0 += 0.00000001237*cos(5.72667761991 + 5835.38583613191*$t);
$X0 += 0.00000001057*cos(1.29430538890 + 2597.3785486837*$t);
$X0 += 0.00000000957*cos(0.10887247031 + 6645.4408042057*$t);
$X0 += 0.00000000971*cos(0.15243087645 + 20809.2238071617*$t);
$X0 += 0.00000000991*cos(2.10746769634 + 131.7857791699*$t);
$X0 += 0.00000001159*cos(0.42658815264 + 9065.7919416123*$t);
$X0 += 0.00000000943*cos(5.50078031935 + 3337.31587218211*$t);
$X0 += 0.00000000943*cos(0.62298659929 + 3344.3966161845*$t);
$X0 += 0.00000000929*cos(3.64745111813 + 4002.0891709643*$t);
$X0 += 0.00000000977*cos(3.69400431600 + 2538.4923217371*$t);
$X0 += 0.00000000938*cos(5.95942050303 + 931.60690433531*$t);
$X0 += 0.00000001272*cos(2.46943992451 + 3302.7232085455*$t);
$X0 += 0.00000000960*cos(4.05574189493 + 3909.6781182107*$t);
$X0 += 0.00000000909*cos(3.63898193941 + 3326.62915018171*$t);
$X0 += 0.00000000943*cos(4.87540027498 + 3344.36210888011*$t);
$X0 += 0.00000000943*cos(1.24836664366 + 3337.3503794865*$t);
$X0 += 0.00000000886*cos(0.45694838479 + 36.84918278771*$t);
$X0 += 0.00000000890*cos(3.60250232314 + 169.3363656495*$t);
$X0 += 0.00000000925*cos(3.39789693407 + 1486.2239385487*$t);
$X0 += 0.00000001156*cos(4.57673762061 + 16061.94070863329*$t);
$X0 += 0.00000000879*cos(5.66441531374 + 3355.0833381849*$t);
$X0 += 0.00000000965*cos(4.35386546492 + 11614.6771112157*$t);
$X0 += 0.00000000874*cos(3.48389519074 + 316.14805217309*$t);
$X0 += 0.00000000896*cos(0.49130824985 + 2067.68758358909*$t);
$X0 += 0.00000000856*cos(2.38006031197 + 6705.3471086309*$t);
$X0 += 0.00000001200*cos(5.49932526392 + 2971.1564282429*$t);
$X0 += 0.00000001091*cos(5.80152513875 + 9168.39708086389*$t);
$X0 += 0.00000000871*cos(3.68107437791 + 9380.71585523369*$t);
$X0 += 0.00000001070*cos(4.75389970378 + 426.3543733925*$t);
$X0 += 0.00000001039*cos(1.92437940169 + 4937.0426864679*$t);
$X0 += 0.00000000968*cos(0.44516536655 + 8959.1760490447*$t);
$X0 += 0.00000000852*cos(0.05056797182 + 8013.52355842391*$t);
$X0 += 0.00000000868*cos(4.22726507605 + 9947.2994990156*$t);
$X0 += 0.00000000890*cos(0.04474613839 + 6747.9560797975*$t);
$X0 += 0.00000000834*cos(2.38508120043 + 6681.0485947895*$t);
$X0 += 0.00000001025*cos(2.15735900007 + 3914.71340755109*$t);
$X0 += 0.00000000838*cos(3.57907497775 + 4672.42349675709*$t);
$X0 += 0.00000000872*cos(5.33485611894 + 11780.7341759997*$t);
$X0 += 0.00000000998*cos(4.91720456967 + 16335.59398705309*$t);
$X0 += 0.00000000814*cos(4.96978756082 + 16703.28869733031*$t);
$X0 += 0.00000001043*cos(4.06758688367 + 3492.7535252685*$t);
$X0 += 0.00000000878*cos(3.45694168055 + 3233.19272024471*$t);
$X0 += 0.00000000814*cos(0.71737388513 + 16703.3232046347*$t);
$X0 += 0.00000000821*cos(1.52684790788 + 3323.04372206531*$t);
$X0 += 0.00000000821*cos(1.45532635717 + 3358.6687663013*$t);
$X0 += 0.00000000861*cos(6.07747716764 + 170.4290531357*$t);
$X0 += 0.00000000895*cos(6.08078315422 + 8966.2222857427*$t);
$X0 += 0.00000000809*cos(5.26204419900 + 1045.3986536711*$t);
$X0 += 0.00000000986*cos(0.34218165194 + 9654.3691336535*$t);
$X0 += 0.00000000841*cos(3.77708723958 + 13745.10242153889*$t);
$X0 += 0.00000000792*cos(0.96214307294 + 7100.9533147583*$t);
$X0 += 0.00000000779*cos(3.28806023341 + 3499.7997619665*$t);
$X0 += 0.00000000841*cos(5.80837213979 + 3448.5197681219*$t);
$X0 += 0.00000000788*cos(6.15063940263 + 14422.0754544719*$t);
$X0 += 0.00000001013*cos(5.94832458905 + 8859.60639317511*$t);
$X0 += 0.00000001009*cos(1.23105531513 + 6657.59023313531*$t);
$X0 += 0.00000001030*cos(3.76569779004 + 3710.5560601237*$t);
$X0 += 0.00000000787*cos(5.30046515807 + 3308.88393836651*$t);
$X0 += 0.00000000787*cos(3.96489441416 + 3372.8285500001*$t);
$X0 += 0.00000000731*cos(3.22922044128 + 2803.56409712089*$t);
$X0 += 0.00000000725*cos(6.20613636370 + 3229.6696018957*$t);
$X0 += 0.00000000749*cos(4.97775385354 + 4356.5192620675*$t);
$X0 += 0.00000000720*cos(3.15038755289 + 3553.66770465429*$t);
$X0 += 0.00000000818*cos(3.37077170078 + 802.1201049627*$t);
$X0 += 0.00000000825*cos(5.84107737328 + 3253.5480396435*$t);
$X0 += 0.00000000793*cos(2.67246545703 + 11.2895177474*$t);
$X0 += 0.00000000864*cos(3.56004399666 + 6717.49653756051*$t);
$X0 += 0.00000000969*cos(2.14091772308 + 20198.85114214949*$t);
$X0 += 0.00000000917*cos(1.55560807260 + 4776.0039059427*$t);
$X0 += 0.00000000729*cos(5.39749363536 + 22743.16556203289*$t);
$X0 += 0.00000000730*cos(5.37089940702 + 1063.14886602171*$t);
$X0 += 0.00000000860*cos(3.11478671194 + 242.4847864905*$t);
$X0 += 0.00000000713*cos(3.97545007472 + 20597.0001455577*$t);
$X0 += 0.00000000694*cos(3.05919399377 + 3452.04288647091*$t);
$X0 += 0.00000000694*cos(3.98809162040 + 20426.8149099055*$t);
$X0 += 0.00000000972*cos(1.98698742024 + 13916.2629271251*$t);
$X0 += 0.00000000692*cos(3.93965986059 + 3068.1832868317*$t);
$X0 += 0.00000000730*cos(2.57797232879 + 6016.7126257531*$t);
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$X0 += 0.00000000071*cos(5.95705764996 + 12140.8449579613*$t);
$X0 += 0.00000000072*cos(2.94505111531 + 26887.6098672141*$t);
$X0 += 0.00000000072*cos(5.27569870166 + 2010.8565189563*$t);
$X0 += 0.00000000072*cos(2.76090980030 + 11560.32153356091*$t);
$X0 += 0.00000000072*cos(3.91771440218 + 21957.4369102635*$t);
$X0 += 0.00000000071*cos(2.84795147281 + 1619.7537522461*$t);
$X0 += 0.00000000074*cos(0.11394719873 + 20205.89737884749*$t);
$X0 += 0.00000000075*cos(1.13246079000 + 7477.27904273249*$t);
$X0 += 0.00000000073*cos(2.21781912263 + 6493.54352312051*$t);
$X0 += 0.00000000069*cos(1.97183985363 + 5784.06574185909*$t);
$X0 += 0.00000000084*cos(5.72884329247 + 2118.5200428949*$t);
$X0 += 0.00000000086*cos(4.60823055211 + 19404.0210913683*$t);
$X0 += 0.00000000095*cos(3.88399746483 + 2104.7805838603*$t);
$X0 += 0.00000000075*cos(1.20420559875 + 8748.9124369887*$t);
$X0 += 0.00000000076*cos(5.90435441090 + 3268.8005108285*$t);
$X0 += 0.00000000076*cos(3.36100516133 + 3412.9119775381*$t);
$X0 += 0.00000000089*cos(0.07046438358 + 15643.43638582629*$t);
$X0 += 0.00000000075*cos(2.83027542239 + 36106.1029037991*$t);
$X0 += 0.00000000069*cos(4.22526525232 + 21272.8804910045*$t);
$X0 += 0.00000000071*cos(1.81785521705 + 58857.2749540315*$t);
$X0 += 0.00000000071*cos(3.09739469496 + 5298.0936890695*$t);
$X0 += 0.00000000071*cos(6.23898734855 + 5298.5813240365*$t);
$X0 += 0.00000000080*cos(4.11777412331 + 6151.71039548571*$t);
$X0 += 0.00000000068*cos(4.63938903003 + 942.3058794525*$t);
$X0 += 0.00000000089*cos(4.89960612432 + 30640.1004561165*$t);
$X0 += 0.00000000068*cos(5.87799590803 + 11247.4527822533*$t);
$X0 += 0.00000000068*cos(0.82684530792 + 8550.32807051931*$t);
$X0 += 0.00000000078*cos(5.32553737695 + 422.9098550964*$t);
$X0 += 0.00000000068*cos(3.37824489645 + 4665.3099497563*$t);
$X0 += 0.00000000068*cos(0.23665224286 + 4665.7975847233*$t);
$X0 += 0.00000000070*cos(1.18575062405 + 2332.3067732999*$t);
$X0 += 0.00000000070*cos(4.74024249826 + 13105.18788157269*$t);
$X0 += 0.00000000071*cos(0.83016269932 + 3309.86425943471*$t);
$X0 += 0.00000000071*cos(2.15201156573 + 3371.8482289319*$t);
$X0 += 0.00000000080*cos(4.96945014581 + 9705.6892279263*$t);
$X0 += 0.00000000079*cos(2.82952117654 + 16065.82204399129*$t);
$X0 += 0.00000000070*cos(2.49836750115 + 7843.94337529091*$t);
$X0 += 0.00000000068*cos(5.11241672674 + 9175.9982628317*$t);
$X0 += 0.00000000081*cos(0.77055887901 + 94329.53146871387*$t);
$X0 += 0.00000000067*cos(5.57581450600 + 6112.6467968557*$t);
$X0 += 0.00000000075*cos(1.66052000409 + 1585.38455950421*$t);
$X0 += 0.00000000091*cos(2.77249023737 + 7768.2521571691*$t);
$X0 += 0.00000000068*cos(1.17229514872 + 11663.4143077795*$t);
$X0 += 0.00000000069*cos(2.60276940326 + 23554.1109875151*$t);
$X0 += 0.00000000072*cos(0.87830980344 + 3267.2207809637*$t);
$X0 += 0.00000000072*cos(2.10386446161 + 3414.4917074029*$t);
$X0 += 0.00000000073*cos(3.91879555351 + 2693.84541086851*$t);
$X0 += 0.00000000069*cos(1.24929360061 + 3494.7814777077*$t);
$X0 += 0.00000000069*cos(1.73288066444 + 3186.93101065891*$t);
$X0 += 0.00000000068*cos(0.65498506864 + 5202.1144618517*$t);
$X0 += 0.00000000085*cos(2.64920255148 + 4157.5095703985*$t);
$X0 += 0.00000000066*cos(5.42206372629 + 15636.32283882549*$t);
$X0 += 0.00000000093*cos(3.60627494992 + 1826.07731249979*$t);
$X0 += 0.00000000075*cos(5.40680087602 + 15276.21205686389*$t);
$X0 += 0.00000000067*cos(2.59734357148 + 290.24166198609*$t);
$X0 += 0.00000000073*cos(2.30862354300 + 3237.2758349977*$t);
$X0 += 0.00000000066*cos(2.80946310059 + 10823.95738506209*$t);
$X0 += 0.00000000066*cos(5.95105575418 + 10824.44502002911*$t);
$X0 += 0.00000000066*cos(3.87880650690 + 16056.29511766771*$t);
$X0 += 0.00000000066*cos(3.36268639559 + 226.07308589371*$t);
$X0 += 0.00000000068*cos(0.42764873920 + 4897.4243911387*$t);
$X0 += 0.00000000065*cos(3.82963818162 + 3324.09135343631*$t);
$X0 += 0.00000000065*cos(5.43572139061 + 3357.6211349303*$t);
$X0 += 0.00000000066*cos(2.06780245805 + 176.44991265029*$t);
$X0 += 0.00000000069*cos(1.31713075410 + 1442.03464492889*$t);
$X0 += 0.00000000065*cos(2.23384330119 + 12725.20961729149*$t);
$X0 += 0.00000000071*cos(0.81327740269 + 11250.55557593809*$t);
$X0 += 0.00000000066*cos(0.93383696418 + 415.7963080956*$t);
$X0 += 0.00000000066*cos(3.64037605585 + 3738.93793728871*$t);
$X0 += 0.00000000090*cos(1.66801934841 + 2885.946877656*$t);
$X0 += 0.00000000090*cos(1.31415491664 + 3795.7656107106*$t);
$X0 += 0.00000000067*cos(5.42902273412 + 13359.10309563091*$t);
$X0 += 0.00000000069*cos(4.43980027024 + 4932.9646228491*$t);
$X0 += 0.00000000067*cos(1.57727720508 + 20043.43074271529*$t);
$X0 += 0.00000000067*cos(3.84155718574 + 19247.6203708659*$t);
$X0 += 0.00000000064*cos(1.06581237341 + 8983.0544867925*$t);
$X0 += 0.00000000081*cos(5.58958887514 + 5136.1146879043*$t);
$X0 += 0.00000000076*cos(6.10249673727 + 6677.53651762*$t);
$X0 += 0.00000000064*cos(0.33226555661 + 6564.1488026629*$t);
$X0 += 0.00000000063*cos(2.10390607796 + 10294.2664199675*$t);
$X0 += 0.00000000063*cos(5.24549873155 + 10294.7540549345*$t);
$X0 += 0.00000000065*cos(5.56809088940 + 0.7365035847*$t);
$X0 += 0.00000000067*cos(0.73015466933 + 4396.71505602351*$t);
$X0 += 0.00000000070*cos(4.18413149495 + 5088.46362233621*$t);
$X0 += 0.00000000070*cos(1.04253884136 + 5087.97598736919*$t);
$X0 += 0.00000000066*cos(3.51965735519 + 3332.68810760091*$t);
$X0 += 0.00000000066*cos(5.74570221704 + 3349.02438076571*$t);
$X0 += 0.00000000069*cos(3.86382217258 + 24076.6884056089*$t);
$X0 += 0.00000000063*cos(4.22297067160 + 15004.0267344793*$t);
$X0 += 0.00000000066*cos(4.86919893241 + 3303.8606535723*$t);
$X0 += 0.00000000066*cos(4.39616063982 + 3377.85183479431*$t);
$X0 += 0.00000000062*cos(0.97042406466 + 423.3188900105*$t);
$X0 += 0.00000000073*cos(1.49145392699 + 7250.29054491051*$t);
$X0 += 0.00000000066*cos(2.48697755670 + 1083.01655045349*$t);
$X0 += 0.00000000066*cos(3.23187966901 + 3739.0725578943*$t);
$X0 += 0.00000000065*cos(3.95948324523 + 3454.58568375171*$t);
$X0 += 0.00000000065*cos(5.30587632700 + 3227.1268046149*$t);
$X0 += 0.00000000069*cos(2.59648260174 + 5885.1879177189*$t);
$X0 += 0.00000000069*cos(5.75230198725 + 2384.56708821271*$t);
$X0 += 0.00000000082*cos(3.81994976939 + 6573.8051469445*$t);
$X0 += 0.00000000078*cos(5.28528678757 + 12979.79699205951*$t);
$X0 += 0.00000000063*cos(5.02148754857 + 6298.0845036929*$t);
$X0 += 0.00000000063*cos(4.29059352218 + 379.12959639069*$t);
$X0 += 0.00000000078*cos(0.06919505661 + 17079.0716825527*$t);
$X0 += 0.00000000063*cos(5.55828474147 + 4295.6101338159*$t);
$X0 += 0.00000000072*cos(2.77553583313 + 7366.5127251091*$t);
$X0 += 0.00000000064*cos(1.22906259266 + 21258.6533970029*$t);
$X0 += 0.00000000061*cos(5.82279175439 + 3870.52995562571*$t);
$X0 += 0.00000000069*cos(2.31182487954 + 6757.7347421587*$t);
$X0 += 0.00000000061*cos(1.57037807871 + 3870.5644629301*$t);
$X0 += 0.00000000061*cos(2.32660945835 + 8528.49979454989*$t);
$X0 += 0.00000000072*cos(1.46495213208 + 3337.95522989351*$t);
$X0 += 0.00000000072*cos(1.51722213297 + 3343.7572584731*$t);
$X0 += 0.00000000081*cos(4.85945415811 + 17498.5563264279*$t);
$X0 += 0.00000000080*cos(4.09102247218 + 68241.62832713968*$t);
$X0 += 0.00000000070*cos(1.26769104700 + 5096.3279288624*$t);
$X0 += 0.00000000070*cos(4.40928370059 + 5095.8402938954*$t);
$X0 += 0.00000000062*cos(3.77365809945 + 629.0954035336*$t);
$X0 += 0.00000000061*cos(4.23156701226 + 7056.74676748629*$t);
$X0 += 0.00000000061*cos(2.12062311073 + 27035.49639498329*$t);
$X0 += 0.00000000075*cos(5.58983904787 + 13531.78607244869*$t);
$X0 += 0.00000000062*cos(1.40905160179 + 14591.16800263789*$t);
$X0 += 0.00000000062*cos(4.55064425538 + 14591.6556376049*$t);
$X0 += 0.00000000071*cos(6.19817850055 + 5622.01943039111*$t);
$X0 += 0.00000000066*cos(0.70285666709 + 954.9977071161*$t);
$X0 += 0.00000000068*cos(4.29528632626 + 3930.4535137031*$t);
$X0 += 0.00000000066*cos(1.57540103682 + 2899.54332433869*$t);
$X0 += 0.00000000061*cos(2.92470112475 + 2711.51702316619*$t);
$X0 += 0.00000000063*cos(2.75001640915 + 2125.5662795929*$t);
$X0 += 0.00000000073*cos(6.02852675275 + 6695.6957648847*$t);
$X0 += 0.00000000069*cos(0.56571097024 + 5885.15341041451*$t);
$X0 += 0.00000000060*cos(3.57090765756 + 41427.24316569529*$t);
$X0 += 0.00000000080*cos(2.18652340630 + 4576.44426953929*$t);
$X0 += 0.00000000080*cos(5.32811605989 + 4576.9319045063*$t);
$X0 += 0.00000000059*cos(0.92319299629 + 9374.58262930109*$t);
$X0 += 0.00000000074*cos(3.32088958533 + 3583.0972131903*$t);
$X0 += 0.00000000082*cos(4.24713604667 + 2636.7354245989*$t);
$X0 += 0.00000000058*cos(3.21277912522 + 720.89541372269*$t);
$X0 += 0.00000000058*cos(3.21277912522 + 721.3830486897*$t);
$X0 += 0.00000000059*cos(2.00330526657 + 14319.44721987369*$t);
$X0 += 0.00000000065*cos(2.85461191452 + 48274.1056003737*$t);
$X0 += 0.00000000058*cos(2.94023903950 + 110.9428248041*$t);
$X0 += 0.00000000072*cos(3.25665693297 + 195.21520194411*$t);
$X0 += 0.00000000059*cos(1.03271362744 + 13738.4592558529*$t);
$X0 += 0.00000000063*cos(2.63685401817 + 9722.9547033137*$t);
$X0 += 0.00000000080*cos(6.03050339434 + 3304.2076812538*$t);
$X0 += 0.00000000080*cos(3.23485617788 + 3377.5048071128*$t);
$X0 += 0.00000000058*cos(0.73211712408 + 16070.5222116693*$t);
$X0 += 0.00000000070*cos(4.06333381597 + 11787.8477230005*$t);
$X0 += 0.00000000062*cos(3.37913079081 + 4558.6940571887*$t);
$X0 += 0.00000000076*cos(0.42812166341 + 1612.70751554809*$t);
$X0 += 0.00000000071*cos(2.87138479505 + 6486.4972864225*$t);
$X0 += 0.00000000062*cos(0.38524528784 + 437.8877086234*$t);
$X0 += 0.00000000059*cos(3.33501995812 + 37057.33367508269*$t);
$X0 += 0.00000000070*cos(1.22310296909 + 8116.1286976755*$t);
$X0 += 0.00000000058*cos(1.38401229102 + 1969.4444807273*$t);
$X0 += 0.00000000058*cos(1.59816197403 + 4712.26800763931*$t);
$X0 += 0.00000000057*cos(2.80514625199 + 4565.7402938867*$t);
$X0 += 0.00000000065*cos(3.23325458609 + 5526.1075134761*$t);
$X0 += 0.00000000072*cos(1.75331960583 + 8948.4720733921*$t);
$X0 += 0.00000000059*cos(4.01427864314 + 22854.8398392875*$t);
$X0 += 0.00000000074*cos(0.45536940410 + 3192.28988479*$t);
$X0 += 0.00000000074*cos(5.73581209791 + 3189.3209393734*$t);
$X0 += 0.00000000074*cos(1.18271789974 + 5106.1352346339*$t);
$X0 += 0.00000000060*cos(3.98760857931 + 3333.2775649737*$t);
$X0 += 0.00000000060*cos(5.27775099292 + 3348.4349233929*$t);
$X0 += 0.00000000057*cos(2.42715474002 + 1022.5327474015*$t);
$X0 += 0.00000000062*cos(5.31656329809 + 792.53107098389*$t);
$X0 += 0.00000000055*cos(5.92010875776 + 3355.5935265089*$t);
$X0 += 0.00000000055*cos(3.34525081447 + 3326.11896185771*$t);
$X0 += 0.00000000057*cos(3.55845650996 + 3973.1523485295*$t);
$X0 += 0.00000000057*cos(2.89164664491 + 15842.9960222297*$t);
$X0 += 0.00000000071*cos(4.64519741711 + 418.26050532349*$t);
$X0 += 0.00000000061*cos(5.33074649278 + 223.1041404771*$t);
$X0 += 0.00000000063*cos(5.97450695245 + 4137.1715046519*$t);
$X0 += 0.00000000067*cos(0.28907282931 + 11240.4065455553*$t);
$X0 += 0.00000000055*cos(0.37389864441 + 25665.7613008927*$t);
$X0 += 0.00000000076*cos(2.93332951447 + 33716.72124838289*$t);
$X0 += 0.00000000061*cos(2.45900432418 + 7630.64427985291*$t);
$X0 += 0.00000000065*cos(3.96741643938 + 14267.66258598049*$t);
$X0 += 0.00000000065*cos(0.82582378579 + 14268.1502209475*$t);
$X0 += 0.00000000060*cos(4.38893033458 + 1368.4164353615*$t);
$X0 += 0.00000000061*cos(4.63971906183 + 1118.9996095863*$t);
$X0 += 0.00000000067*cos(5.86396730577 + 13366.2839529345*$t);
return $X0;
}
function Mars_X1($t) // 1023 terms of order 1
{
$X1 = 0.01668487239*cos(4.16976892466 + 0.2438174835*$t);
$X1 += 0.00551520815*cos(5.09364818449 + 6681.46867088311*$t);
$X1 += 0.00077122404*cos(5.43227875215 + 10022.0810975829*$t);
$X1 += 0.00033905789*cos(5.71116244693 + 3340.36860921629*$t);
$X1 += 0.00013417687*cos(2.71465693005 + 3340.8562441833*$t);
$X1 += 0.00009584524*cos(5.77057197269 + 13362.6935242827*$t);
$X1 += 0.00002619567*cos(3.04292130471 + 3337.33312583431*$t);
$X1 += 0.00002615345*cos(6.22267850729 + 3344.3793625323*$t);
$X1 += 0.00001454057*cos(6.00537388308 + 6680.98103591609*$t);
$X1 += 0.00001163163*cos(6.10878130495 + 16703.3059509825*$t);
$X1 += 0.00000900588*cos(3.31444263639 + 1059.6257476727*$t);
$X1 += 0.00000429589*cos(2.75628228081 + 2942.7072407751*$t);
$X1 += 0.00000388556*cos(5.95081376697 + 5622.08674069391*$t);
$X1 += 0.00000380679*cos(0.22066211311 + 3739.0052475915*$t);
$X1 += 0.00000394611*cos(0.19955281144 + 6684.9917892321*$t);
$X1 += 0.00000336947*cos(5.21225980605 + 3149.4079780717*$t);
$X1 += 0.00000333888*cos(2.45815226028 + 3185.43584474911*$t);
$X1 += 0.00000318443*cos(4.05173927787 + 3532.3045102949*$t);
$X1 += 0.00000317603*cos(0.52499208882 + 3496.2766436175*$t);
$X1 += 0.00000312062*cos(4.23079808787 + 2544.5582373669*$t);
$X1 += 0.00000285965*cos(4.60046760581 + 796.5418242999*$t);
$X1 += 0.00000259967*cos(5.02487716401 + 4137.1542509997*$t);
$X1 += 0.00000205452*cos(3.20172034630 + 1194.6908277081*$t);
$X1 += 0.00000140526*cos(0.16384177624 + 20043.9183776823*$t);
$X1 += 0.00000159180*cos(3.57652346172 + 1589.3167127673*$t);
$X1 += 0.00000133487*cos(4.63998807852 + 5885.1706640667*$t);
$X1 += 0.00000132246*cos(3.70031751325 + 4400.2381743725*$t);
$X1 += 0.00000126940*cos(2.82015450407 + 6677.9455525341*$t);
$X1 += 0.00000102941*cos(6.05722597437 + 5487.0216606585*$t);
$X1 += 0.00000128977*cos(1.79935813905 + 1592.8398311163*$t);
$X1 += 0.00000101403*cos(5.54137030567 + 3339.8759231151*$t);
$X1 += 0.00000101343*cos(3.72398711211 + 3341.83656525151*$t);
$X1 += 0.00000089600*cos(5.87965689031 + 3870.54720927791*$t);
$X1 += 0.00000084159*cos(0.39524478086 + 1990.9888345245*$t);
$X1 += 0.00000093032*cos(0.00825302856 + 10021.5934626159*$t);
$X1 += 0.00000079379*cos(3.91303424877 + 426.8420083595*$t);
$X1 += 0.00000077187*cos(0.64135737142 + 7079.61767429131*$t);
$X1 += 0.00000081451*cos(5.66551932020 + 5092.3957755993*$t);
$X1 += 0.00000091218*cos(5.63424494104 + 2146.4092339587*$t);
$X1 += 0.00000063951*cos(5.27338440626 + 2389.1378379327*$t);
$X1 += 0.00000057311*cos(0.50275055126 + 10025.6042159319*$t);
$X1 += 0.00000056935*cos(1.93125711419 + 3098.1276402093*$t);
$X1 += 0.00000075514*cos(3.61046388189 + 4535.3032544079*$t);
$X1 += 0.00000055567*cos(1.21839855581 + 9492.3901324883*$t);
$X1 += 0.00000072076*cos(1.18180609896 + 5088.8726572503*$t);
$X1 += 0.00000052967*cos(1.04882176228 + 3583.5848481573*$t);
$X1 += 0.00000053267*cos(2.58802816719 + 4690.7236538421*$t);
$X1 += 0.00000070583*cos(3.86667384573 + 2787.2868413409*$t);
$X1 += 0.00000057299*cos(0.33406941177 + 7.3573644843*$t);
$X1 += 0.00000054075*cos(2.75074198097 + 2957.9597119601*$t);
$X1 += 0.00000050146*cos(4.61860820816 + 191.2044486281*$t);
$X1 += 0.00000046293*cos(3.99427986110 + 4292.5746504339*$t);
$X1 += 0.00000049234*cos(2.50739423398 + 6681.45141723091*$t);
$X1 += 0.00000058634*cos(5.40086631171 + 3894.4256470257*$t);
$X1 += 0.00000048264*cos(0.23146545625 + 3723.7527764065*$t);
$X1 += 0.00000049234*cos(4.53816586556 + 6681.4859245353*$t);
$X1 += 0.00000055021*cos(1.11115546675 + 155.17658195069*$t);
$X1 += 0.00000047402*cos(5.64225040832 + 6490.0204047715*$t);
$X1 += 0.00000039275*cos(1.77443036655 + 1747.7725955835*$t);
$X1 += 0.00000037297*cos(0.06860934281 + 3554.1553396213*$t);
$X1 += 0.00000036066*cos(2.88742336978 + 3127.5571487453*$t);
$X1 += 0.00000035298*cos(2.80382718345 + 6526.04827144891*$t);
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$X1 += 0.00000000070*cos(3.95696412828 + 35707.4662654239*$t);
$X1 += 0.00000000088*cos(3.09948179111 + 3068.1832868317*$t);
$X1 += 0.00000000088*cos(6.16582202980 + 3613.52920153491*$t);
$X1 += 0.00000000065*cos(3.39284738601 + 15121.3466026995*$t);
$X1 += 0.00000000077*cos(0.99849955209 + 14127.99895376209*$t);
$X1 += 0.00000000069*cos(1.59437276472 + 43739.0461634493*$t);
$X1 += 0.00000000066*cos(1.03311700868 + 5195.48854981791*$t);
$X1 += 0.00000000066*cos(4.17470966227 + 5195.0009148509*$t);
$X1 += 0.00000000065*cos(0.76344895489 + 6708.8702269799*$t);
$X1 += 0.00000000071*cos(5.13055527150 + 10176.94655174729*$t);
$X1 += 0.00000000090*cos(5.15547486786 + 6740.84253279671*$t);
$X1 += 0.00000000065*cos(0.10668764820 + 4140.6773693487*$t);
$X1 += 0.00000000064*cos(4.35311548094 + 9801.6684551441*$t);
$X1 += 0.00000000085*cos(2.97975451165 + 43340.8971600411*$t);
$X1 += 0.00000000087*cos(5.05289595532 + 9859.6144614507*$t);
$X1 += 0.00000000074*cos(0.32205798976 + 10596.4258959177*$t);
$X1 += 0.00000000065*cos(0.93949119244 + 6681.0485947895*$t);
$X1 += 0.00000000071*cos(0.13869046417 + 4143.2201666295*$t);
$X1 += 0.00000000066*cos(1.89967622669 + 3267.2552882681*$t);
$X1 += 0.00000000066*cos(1.08249803836 + 3414.4572000985*$t);
$X1 += 0.00000000063*cos(1.22371219128 + 6467.68194047809*$t);
$X1 += 0.00000000064*cos(2.27838099501 + 3487.66793070691*$t);
$X1 += 0.00000000064*cos(0.70379327004 + 3194.0445576597*$t);
$X1 += 0.00000000085*cos(4.60745592882 + 10720.8646108435*$t);
$X1 += 0.00000000062*cos(1.44691455296 + 35.7840491939*$t);
$X1 += 0.00000000062*cos(1.44691455296 + 36.27168416091*$t);
$X1 += 0.00000000064*cos(0.50126921709 + 11773.13299403189*$t);
$X1 += 0.00000000064*cos(3.39664176030 + 41747.81351144129*$t);
$X1 += 0.00000000068*cos(4.85567854407 + 12809.12412144031*$t);
$X1 += 0.00000000062*cos(3.24713366848 + 18461.9590293993*$t);
$X1 += 0.00000000068*cos(1.99986373490 + 6614.9812619687*$t);
$X1 += 0.00000000079*cos(3.63912822114 + 11236.8161169035*$t);
$X1 += 0.00000000066*cos(0.00739681430 + 9998.20265983511*$t);
$X1 += 0.00000000064*cos(3.57531615713 + 11526.88127170889*$t);
$X1 += 0.00000000070*cos(1.91919982448 + 16858.6590401139*$t);
$X1 += 0.00000000065*cos(2.25710269131 + 20597.0001455577*$t);
$X1 += 0.00000000064*cos(6.00619877627 + 40796.5827401577*$t);
$X1 += 0.00000000079*cos(3.24064854543 + 10730.58326489249*$t);
$X1 += 0.00000000062*cos(2.19007422012 + 20040.3952593333*$t);
$X1 += 0.00000000066*cos(4.61504680225 + 8428.9974489831*$t);
$X1 += 0.00000000079*cos(1.14777889484 + 40398.4337367495*$t);
$X1 += 0.00000000059*cos(4.95064610711 + 44959.3038585067*$t);
$X1 += 0.00000000063*cos(1.57149098969 + 20743.1895259099*$t);
$X1 += 0.00000000060*cos(5.59502027006 + 10016.5581732755*$t);
$X1 += 0.00000000059*cos(2.37148961772 + 13745.10242153889*$t);
$X1 += 0.00000000067*cos(4.66236805003 + 9329.9234963561*$t);
$X1 += 0.00000000078*cos(3.20257989132 + 24606.3793707035*$t);
$X1 += 0.00000000080*cos(4.78522853089 + 5202.6020968187*$t);
$X1 += 0.00000000057*cos(0.14787405732 + 12928.98178640591*$t);
$X1 += 0.00000000080*cos(2.57142552579 + 27417.3008323087*$t);
$X1 += 0.00000000077*cos(2.68569752236 + 4845.6564183093*$t);
$X1 += 0.00000000062*cos(1.28402834481 + 12987.86801335249*$t);
$X1 += 0.00000000057*cos(3.31195041686 + 5820.6711071633*$t);
$X1 += 0.00000000057*cos(4.71242438007 + 25841.04938475869*$t);
$X1 += 0.00000000059*cos(1.99234809567 + 5945.5921573513*$t);
$X1 += 0.00000000061*cos(2.21763600824 + 3264.59017290771*$t);
$X1 += 0.00000000058*cos(0.15438737921 + 15423.5113783545*$t);
$X1 += 0.00000000074*cos(1.62116168437 + 9623.4444592077*$t);
$X1 += 0.00000000062*cos(0.01729652290 + 3324.02404313351*$t);
$X1 += 0.00000000062*cos(2.96487774215 + 3357.6884452331*$t);
$X1 += 0.00000000060*cos(3.21935705290 + 9225.29545579949*$t);
$X1 += 0.00000000061*cos(0.87383375009 + 5223.93773728571*$t);
$X1 += 0.00000000056*cos(6.08238895883 + 3702.9773809141*$t);
$X1 += 0.00000000056*cos(3.18297061340 + 2978.7351074525*$t);
$X1 += 0.00000000055*cos(5.55769169501 + 12715.68269096791*$t);
$X1 += 0.00000000058*cos(6.20637133104 + 14584.05445563709*$t);
$X1 += 0.00000000075*cos(3.03936450956 + 4776.0039059427*$t);
$X1 += 0.00000000054*cos(6.20587218477 + 45885.2115799245*$t);
$X1 += 0.00000000055*cos(0.20267751971 + 2126.05391455991*$t);
$X1 += 0.00000000054*cos(5.63419925281 + 9381.69617630189*$t);
$X1 += 0.00000000054*cos(1.14797661971 + 5607.3720117253*$t);
$X1 += 0.00000000053*cos(4.66773371614 + 6789.1321948217*$t);
$X1 += 0.00000000058*cos(1.18695310382 + 3268.8005108285*$t);
$X1 += 0.00000000058*cos(1.79522116123 + 3412.9119775381*$t);
$X1 += 0.00000000053*cos(4.87665472917 + 12509.00950756369*$t);
$X1 += 0.00000000053*cos(1.73506207558 + 12509.4971425307*$t);
$X1 += 0.00000000073*cos(3.99821780645 + 14867.49369840869*$t);
$X1 += 0.00000000053*cos(3.76863341135 + 14481.4493163855*$t);
$X1 += 0.00000000054*cos(0.37546635249 + 24491.18197509989*$t);
$X1 += 0.00000000052*cos(4.72089853524 + 6813.0106325695*$t);
$X1 += 0.00000000054*cos(3.09595317364 + 8186.2688450091*$t);
$X1 += 0.00000000054*cos(0.00461175410 + 21150.56954840009*$t);
$X1 += 0.00000000054*cos(2.87852685560 + 8226.8226538619*$t);
$X1 += 0.00000000054*cos(1.09489146543 + 18849.4713674577*$t);
$X1 += 0.00000000068*cos(0.66923543045 + 20213.4985608153*$t);
$X1 += 0.00000000062*cos(1.20435016011 + 9175.9982628317*$t);
$X1 += 0.00000000068*cos(0.82610831691 + 2391.6806352135*$t);
$X1 += 0.00000000055*cos(4.11195400528 + 23539.46356884929*$t);
$X1 += 0.00000000072*cos(0.36267682866 + 3342.34071689161*$t);
$X1 += 0.00000000072*cos(2.61949743639 + 3339.371771475*$t);
$X1 += 0.00000000055*cos(2.02910200345 + 6843.4476720483*$t);
$X1 += 0.00000000060*cos(0.59388124144 + 4885.72259219509*$t);
$X1 += 0.00000000052*cos(0.73783930820 + 7799.73682801889*$t);
$X1 += 0.00000000063*cos(3.16724562752 + 21265.7669440037*$t);
$X1 += 0.00000000069*cos(5.26085614502 + 24889.33097850809*$t);
$X1 += 0.00000000051*cos(4.53705971735 + 37895.6701078509*$t);
$X1 += 0.00000000052*cos(3.81855873195 + 45088.42593814109*$t);
$X1 += 0.00000000051*cos(6.16736633171 + 12410.9751180321*$t);
$X1 += 0.00000000068*cos(4.79486677262 + 1854.38848815109*$t);
$X1 += 0.00000000054*cos(3.63347214209 + 2736.0065034785*$t);
$X1 += 0.00000000052*cos(0.45870559028 + 16328.48044005229*$t);
$X1 += 0.00000000051*cos(2.71896338300 + 16063.4086646685*$t);
$X1 += 0.00000000061*cos(4.37753041368 + 2655.74487965451*$t);
$X1 += 0.00000000056*cos(6.12270264253 + 8439.6341143329*$t);
$X1 += 0.00000000050*cos(1.66638675730 + 1727.90491115171*$t);
$X1 += 0.00000000054*cos(4.41236851357 + 5408.78764525591*$t);
$X1 += 0.00000000059*cos(5.82807691891 + 12516.6106895315*$t);
$X1 += 0.00000000052*cos(2.44824121469 + 4356.03162710049*$t);
$X1 += 0.00000000050*cos(5.98909587083 + 3116.5114484814*$t);
$X1 += 0.00000000050*cos(3.27629040044 + 3565.2010398852*$t);
$X1 += 0.00000000049*cos(3.04482195507 + 55516.6625273317*$t);
$X1 += 0.00000000050*cos(3.76474251754 + 3742.5283659405*$t);
$X1 += 0.00000000048*cos(1.55364396872 + 1882.83767561889*$t);
$X1 += 0.00000000054*cos(1.33668194066 + 20426.8149099055*$t);
$X1 += 0.00000000048*cos(4.53136736783 + 16865.28495214769*$t);
$X1 += 0.00000000061*cos(3.94417006930 + 19617.3201868063*$t);
$X1 += 0.00000000048*cos(1.52363711730 + 19190.7219959303*$t);
$X1 += 0.00000000048*cos(4.57834518343 + 24341.28449997309*$t);
$X1 += 0.00000000056*cos(0.62265341478 + 10787.3865270623*$t);
$X1 += 0.00000000048*cos(1.47112939196 + 44768.3432273621*$t);
$X1 += 0.00000000047*cos(4.52109505540 + 13517.55897844709*$t);
$X1 += 0.00000000051*cos(4.70693407374 + 5750.1055840313*$t);
$X1 += 0.00000000053*cos(0.31337304133 + 1971.70835637129*$t);
$X1 += 0.00000000047*cos(0.76973666278 + 11876.7134032175*$t);
$X1 += 0.00000000047*cos(5.80540140583 + 2257.59587624631*$t);
$X1 += 0.00000000053*cos(0.80336106618 + 20043.43074271529*$t);
$X1 += 0.00000000050*cos(2.12975781859 + 32765.00284213229*$t);
$X1 += 0.00000000047*cos(0.13685654516 + 39048.5663270907*$t);
$X1 += 0.00000000048*cos(3.00714578495 + 135.30889751891*$t);
$X1 += 0.00000000064*cos(3.04700054519 + 1329.75590774351*$t);
$X1 += 0.00000000051*cos(5.44594778277 + 2693.84541086851*$t);
$X1 += 0.00000000055*cos(2.85027352182 + 5834.8982011649*$t);
$X1 += 0.00000000046*cos(0.27718268152 + 1795.5022612045*$t);
$X1 += 0.00000000055*cos(4.04664328548 + 4403.76129272151*$t);
$X1 += 0.00000000048*cos(0.33882252916 + 14955.2895379155*$t);
$X1 += 0.00000000059*cos(2.13527332496 + 4290.0318531531*$t);
$X1 += 0.00000000047*cos(1.62007289183 + 35464.73766144989*$t);
$X1 += 0.00000000047*cos(4.76166554542 + 35465.2252964169*$t);
$X1 += 0.00000000045*cos(0.23464093612 + 5835.38583613191*$t);
$X1 += 0.00000000052*cos(3.84343144307 + 17660.05964657349*$t);
$X1 += 0.00000000048*cos(0.93046633940 + 1859.44687283811*$t);
$X1 += 0.00000000056*cos(3.86355359519 + 532.9702659601*$t);
$X1 += 0.00000000052*cos(0.80583034945 + 3718.2298520991*$t);
$X1 += 0.00000000052*cos(2.17634391560 + 2963.4826362675*$t);
$X1 += 0.00000000045*cos(0.08670687387 + 22487.12787535809*$t);
$X1 += 0.00000000061*cos(4.60323457975 + 7380.7398191107*$t);
$X1 += 0.00000000045*cos(2.80587535059 + 38252.2683202743*$t);
$X1 += 0.00000000045*cos(3.33165976697 + 8741.79888998789*$t);
$X1 += 0.00000000054*cos(1.04355837542 + 1056.1026293237*$t);
$X1 += 0.00000000045*cos(2.35300742152 + 5511.8804194745*$t);
$X1 += 0.00000000045*cos(5.22801084585 + 664.99986261351*$t);
$X1 += 0.00000000045*cos(2.08641819226 + 664.51222764649*$t);
$X1 += 0.00000000045*cos(3.15300518185 + 3973.6399834965*$t);
$X1 += 0.00000000044*cos(3.22051341282 + 5401.6740982551*$t);
$X1 += 0.00000000054*cos(1.65601444750 + 931.1192693683*$t);
$X1 += 0.00000000046*cos(0.11012295064 + 5881.6475457177*$t);
$X1 += 0.00000000050*cos(2.52491431413 + 1744.66980189871*$t);
$X1 += 0.00000000044*cos(3.45607612983 + 3244.8770169655*$t);
$X1 += 0.00000000044*cos(5.80928344240 + 3436.8354714011*$t);
$X1 += 0.00000000045*cos(4.66994870660 + 1265.81129610991*$t);
$X1 += 0.00000000044*cos(6.06839188413 + 17499.6039577989*$t);
$X1 += 0.00000000043*cos(5.89648781204 + 97670.14389541368*$t);
$X1 += 0.00000000057*cos(4.80979061249 + 46283.3605833327*$t);
$X1 += 0.00000000044*cos(4.99066032403 + 10191.17364574889*$t);
$X1 += 0.00000000043*cos(2.87708345328 + 33163.6394805075*$t);
$X1 += 0.00000000047*cos(3.84961762116 + 17256.8753538249*$t);
$X1 += 0.00000000044*cos(6.17241939552 + 2708.07250487011*$t);
$X1 += 0.00000000059*cos(5.12086252013 + 2524.20291796811*$t);
$X1 += 0.00000000053*cos(0.56166352340 + 8337.0289750813*$t);
$X1 += 0.00000000053*cos(4.32226690599 + 14054.8511255095*$t);
$X1 += 0.00000000043*cos(5.31336835297 + 12200.2188198749*$t);
$X1 += 0.00000000046*cos(5.92396722498 + 1648.69057468091*$t);
$X1 += 0.00000000042*cos(2.74816043776 + 845.8390172677*$t);
$X1 += 0.00000000043*cos(4.63799596013 + 41194.7317435659*$t);
$X1 += 0.00000000047*cos(4.18521043124 + 13531.78607244869*$t);
$X1 += 0.00000000047*cos(1.11517601592 + 15850.1095692305*$t);
$X1 += 0.00000000042*cos(5.91221095313 + 12729.9097849695*$t);
$X1 += 0.00000000043*cos(3.52376715745 + 15107.1195086979*$t);
$X1 += 0.00000000043*cos(1.90839497963 + 8123.7298796433*$t);
$X1 += 0.00000000046*cos(1.99766003910 + 2325.1932262991*$t);
$X1 += 0.00000000043*cos(5.33982186623 + 14469.34469500049*$t);
$X1 += 0.00000000043*cos(2.75590007489 + 2854.8841913937*$t);
$X1 += 0.00000000043*cos(0.22627419016 + 3826.82829697291*$t);
$X1 += 0.00000000041*cos(4.48535365931 + 42544.5991532247*$t);
$X1 += 0.00000000042*cos(0.81046200996 + 2652.2217613055*$t);
$X1 += 0.00000000042*cos(4.75852639657 + 38086.6307389955*$t);
$X1 += 0.00000000045*cos(5.07021316431 + 3361.1440047087*$t);
$X1 += 0.00000000043*cos(5.68935522674 + 28229.94340520789*$t);
$X1 += 0.00000000048*cos(1.95422763977 + 12825.8890121873*$t);
$X1 += 0.00000000052*cos(5.96852999978 + 6667.2415768815*$t);
$X1 += 0.00000000041*cos(2.26231059465 + 3296.20241094311*$t);
$X1 += 0.00000000041*cos(0.71986367040 + 3385.5100774235*$t);
$X1 += 0.00000000043*cos(3.41833244496 + 46681.5095867409*$t);
$X1 += 0.00000000040*cos(4.95644488553 + 6851.04885401611*$t);
$X1 += 0.00000000040*cos(2.54157100544 + 8983.0544867925*$t);
$X1 += 0.00000000043*cos(5.68028575617 + 20205.89737884749*$t);
$X1 += 0.00000000040*cos(1.93822990752 + 20728.9624319083*$t);
$X1 += 0.00000000044*cos(0.93531414815 + 29698.5313288193*$t);
$X1 += 0.00000000041*cos(3.51275275749 + 4670.36833444331*$t);
$X1 += 0.00000000052*cos(4.40335159538 + 3299.3054531985*$t);
$X1 += 0.00000000052*cos(4.86200797685 + 3382.4070351681*$t);
$X1 += 0.00000000041*cos(1.79203239583 + 48827.6750032161*$t);
$X1 += 0.00000000046*cos(3.58085963587 + 19247.6203708659*$t);
$X1 += 0.00000000054*cos(2.95533474059 + 3319.59321372389*$t);
$X1 += 0.00000000039*cos(3.66982465499 + 743.23387801611*$t);
$X1 += 0.00000000039*cos(3.73873153389 + 26357.43126715249*$t);
$X1 += 0.00000000039*cos(0.59713888030 + 26357.9189021195*$t);
$X1 += 0.00000000049*cos(4.88931538366 + 4025.9676087121*$t);
$X1 += 0.00000000054*cos(2.40625176831 + 574.5886158183*$t);
$X1 += 0.00000000052*cos(2.35515997528 + 1461.29786942991*$t);
$X1 += 0.00000000041*cos(1.31959971528 + 45487.0625765163*$t);
$X1 += 0.00000000051*cos(5.06339472166 + 102.84895673509*$t);
$X1 += 0.00000000045*cos(1.82993488286 + 2715.1860518709*$t);
$X1 += 0.00000000045*cos(1.15223938219 + 3966.52643649571*$t);
return $X1*$t;
}
function Mars_X2($t) // 511 terms of order 2
{
$X2 = 0.00068999338*cos(5.55726456394 + 0.2438174835*$t);
$X2 += 0.00082190105*cos(1.49108837587 + 3340.8562441833*$t);
$X2 += 0.00021826465*cos(3.36498183687 + 6681.46867088311*$t);
$X2 += 0.00006036287*cos(3.88765559226 + 10022.0810975829*$t);
$X2 += 0.00001291999*cos(3.87907870157 + 3340.36860921629*$t);
$X2 += 0.00001125170*cos(4.26813980903 + 13362.6935242827*$t);
$X2 += 0.00000182064*cos(4.62383908892 + 16703.3059509825*$t);
$X2 += 0.00000172815*cos(4.51953182882 + 3337.33312583431*$t);
$X2 += 0.00000164573*cos(4.61946633733 + 3344.3793625323*$t);
$X2 += 0.00000128077*cos(4.44271682598 + 6680.98103591609*$t);
$X2 += 0.00000093944*cos(0.94466158704 + 3185.43584474911*$t);
$X2 += 0.00000089463*cos(2.03179886201 + 3496.2766436175*$t);
$X2 += 0.00000040244*cos(5.00717764881 + 6684.9917892321*$t);
$X2 += 0.00000036661*cos(1.60353028933 + 1059.6257476727*$t);
$X2 += 0.00000027490*cos(4.97123271543 + 20043.9183776823*$t);
$X2 += 0.00000024847*cos(3.58016850622 + 3149.4079780717*$t);
$X2 += 0.00000023186*cos(5.57924030683 + 3532.3045102949*$t);
$X2 += 0.00000024495*cos(5.73028409392 + 2544.5582373669*$t);
$X2 += 0.00000020269*cos(3.44189573522 + 4137.1542509997*$t);
$X2 += 0.00000018207*cos(3.43690977415 + 3098.1276402093*$t);
$X2 += 0.00000017365*cos(4.15861973569 + 2942.7072407751*$t);
$X2 += 0.00000016922*cos(5.82133860801 + 3583.5848481573*$t);
$X2 += 0.00000016265*cos(1.04984131412 + 5622.08674069391*$t);
$X2 += 0.00000015988*cos(1.61453370816 + 1194.6908277081*$t);
$X2 += 0.00000015705*cos(4.76611870892 + 3739.0052475915*$t);
$X2 += 0.00000013211*cos(5.14469570759 + 1990.9888345245*$t);
$X2 += 0.00000016835*cos(2.34831657807 + 2787.2868413409*$t);
$X2 += 0.00000012623*cos(3.74877336094 + 2389.1378379327*$t);
$X2 += 0.00000013191*cos(4.82160322627 + 10021.5934626159*$t);
$X2 += 0.00000012309*cos(0.81667763054 + 3339.8759231151*$t);
$X2 += 0.00000015092*cos(0.24928051607 + 1592.8398311163*$t);
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$X2 += 0.00000000077*cos(4.35359928029 + 4136.66661603269*$t);
$X2 += 0.00000000071*cos(1.03916311153 + 2274.3607669933*$t);
$X2 += 0.00000000075*cos(5.63557700884 + 7903.3172372045*$t);
$X2 += 0.00000000098*cos(0.02076697156 + 6040.10342853389*$t);
$X2 += 0.00000000085*cos(0.44510087290 + 4194.0526259353*$t);
$X2 += 0.00000000073*cos(0.44168846203 + 9380.71585523369*$t);
$X2 += 0.00000000093*cos(6.09456085621 + 1990.5011995575*$t);
$X2 += 0.00000000086*cos(6.18283823038 + 20752.4205449919*$t);
$X2 += 0.00000000069*cos(1.38553111275 + 1903.6806299847*$t);
$X2 += 0.00000000070*cos(4.70293199621 + 2388.6502029657*$t);
$X2 += 0.00000000069*cos(2.17037139628 + 8962.2115324267*$t);
$X2 += 0.00000000066*cos(4.49413894792 + 13517.62628874989*$t);
$X2 += 0.00000000069*cos(6.00365908535 + 30065.7556577817*$t);
$X2 += 0.00000000079*cos(5.98866196477 + 3337.26581553151*$t);
$X2 += 0.00000000079*cos(0.13660951723 + 3344.4466728351*$t);
$X2 += 0.00000000064*cos(2.30763395826 + 25287.47998191629*$t);
$X2 += 0.00000000065*cos(3.24445550921 + 2631.86644190671*$t);
$X2 += 0.00000000065*cos(1.03862495257 + 20199.3387771165*$t);
$X2 += 0.00000000061*cos(5.30466523023 + 4032.52621044309*$t);
$X2 += 0.00000000062*cos(2.05245090503 + 27035.49639498329*$t);
$X2 += 0.00000000062*cos(1.42815172261 + 5641.9544251257*$t);
$X2 += 0.00000000063*cos(1.53293676835 + 12936.0953334067*$t);
$X2 += 0.00000000084*cos(2.38574993037 + 1903.19299501769*$t);
$X2 += 0.00000000071*cos(5.95376472970 + 11770.0975106499*$t);
$X2 += 0.00000000072*cos(5.64693968962 + 13119.47728534169*$t);
$X2 += 0.00000000063*cos(5.63682315335 + 13362.7608345855*$t);
$X2 += 0.00000000061*cos(5.64246036249 + 17411.8081182921*$t);
$X2 += 0.00000000060*cos(1.64524258736 + 3205.7911641479*$t);
$X2 += 0.00000000058*cos(1.51670643508 + 7255.8134692179*$t);
$X2 += 0.00000000080*cos(2.35306753256 + 21795.4579090983*$t);
$X2 += 0.00000000064*cos(0.76110443806 + 6768.77687542291*$t);
$X2 += 0.00000000063*cos(3.56114214131 + 3340.38586286849*$t);
$X2 += 0.00000000064*cos(5.16926753358 + 3914.71340755109*$t);
$X2 += 0.00000000056*cos(3.47086999510 + 27434.1330333585*$t);
$X2 += 0.00000000057*cos(0.87381633431 + 12721.32828193349*$t);
$X2 += 0.00000000058*cos(4.48269709673 + 3475.92132421871*$t);
$X2 += 0.00000000066*cos(5.64545659289 + 14127.99895376209*$t);
$X2 += 0.00000000055*cos(3.21479909652 + 4846.1440532763*$t);
$X2 += 0.00000000061*cos(3.21825869339 + 5989.3110696563*$t);
$X2 += 0.00000000056*cos(0.73623323904 + 16699.7828326335*$t);
$X2 += 0.00000000063*cos(1.53292797875 + 3340.3513555641*$t);
$X2 += 0.00000000054*cos(3.27785291788 + 2786.7992063739*$t);
$X2 += 0.00000000059*cos(3.22300251676 + 7063.87756813929*$t);
$X2 += 0.00000000052*cos(3.36345782490 + 11128.73226830069*$t);
$X2 += 0.00000000067*cos(4.65085357599 + 2233.71743849851*$t);
$X2 += 0.00000000051*cos(2.44574956886 + 30376.10882168309*$t);
$X2 += 0.00000000050*cos(4.18360328454 + 17924.66688233689*$t);
$X2 += 0.00000000050*cos(1.01622762006 + 17925.1545173039*$t);
$X2 += 0.00000000049*cos(3.23997362723 + 14422.0754544719*$t);
$X2 += 0.00000000050*cos(2.88028372970 + 6594.1604663433*$t);
$X2 += 0.00000000065*cos(5.34147580845 + 6107.1238725483*$t);
$X2 += 0.00000000050*cos(6.02043294912 + 4049.8460464599*$t);
$X2 += 0.00000000049*cos(1.41928479603 + 14584.05445563709*$t);
$X2 += 0.00000000056*cos(2.84568635986 + 6702.2440663755*$t);
$X2 += 0.00000000051*cos(4.61875474436 + 8432.52056733209*$t);
$X2 += 0.00000000060*cos(4.23711909745 + 22743.6531969999*$t);
$X2 += 0.00000000050*cos(1.38036390033 + 426.3543733925*$t);
$X2 += 0.00000000056*cos(5.63954798239 + 9499.5036794891*$t);
$X2 += 0.00000000048*cos(1.32224646794 + 21265.7669440037*$t);
$X2 += 0.00000000045*cos(5.84170955710 + 13149.3944288447*$t);
$X2 += 0.00000000055*cos(6.04214625243 + 13362.62621397991*$t);
$X2 += 0.00000000047*cos(2.92094264898 + 9381.69617630189*$t);
$X2 += 0.00000000051*cos(0.76284557905 + 19514.2274125877*$t);
$X2 += 0.00000000047*cos(2.03226039424 + 7321.36595719711*$t);
$X2 += 0.00000000048*cos(2.85045948416 + 23141.8022004081*$t);
$X2 += 0.00000000062*cos(5.07812840159 + 6041.08374960209*$t);
$X2 += 0.00000000056*cos(5.76598331597 + 9595.4829067069*$t);
$X2 += 0.00000000045*cos(5.50975189318 + 17256.38771885789*$t);
$X2 += 0.00000000043*cos(6.27646091354 + 9485.2765854875*$t);
$X2 += 0.00000000055*cos(1.28106527129 + 16061.94070863329*$t);
$X2 += 0.00000000042*cos(3.07366795744 + 8800.2325312615*$t);
$X2 += 0.00000000044*cos(5.51875626180 + 17256.8753538249*$t);
$X2 += 0.00000000055*cos(1.15180858550 + 8425.8946552983*$t);
$X2 += 0.00000000043*cos(2.56622033374 + 6705.3471086309*$t);
$X2 += 0.00000000042*cos(1.19860454413 + 25287.9676168833*$t);
$X2 += 0.00000000050*cos(2.38959203838 + 11773.6206289989*$t);
$X2 += 0.00000000046*cos(1.39809566223 + 10973.3118688665*$t);
$X2 += 0.00000000042*cos(2.01717790098 + 6685.0590995349*$t);
$X2 += 0.00000000043*cos(6.18001810512 + 16460.08971204149*$t);
$X2 += 0.00000000042*cos(4.51566406515 + 6158.8912527893*$t);
$X2 += 0.00000000043*cos(1.46895638191 + 6709.91785835091*$t);
$X2 += 0.00000000040*cos(3.81761467851 + 6531.9054737485*$t);
$X2 += 0.00000000050*cos(0.14621919981 + 13892.3844893773*$t);
$X2 += 0.00000000039*cos(2.35834767375 + 691.9137837433*$t);
$X2 += 0.00000000053*cos(6.10905519875 + 3347.90248088131*$t);
$X2 += 0.00000000041*cos(2.27487072554 + 12323.17927852529*$t);
$X2 += 0.00000000050*cos(2.32783343015 + 18454.8454823985*$t);
$X2 += 0.00000000040*cos(3.67259125733 + 13554.1417903943*$t);
$X2 += 0.00000000054*cos(6.27305419537 + 3333.8100074853*$t);
$X2 += 0.00000000049*cos(4.48594234475 + 6657.59023313531*$t);
$X2 += 0.00000000049*cos(3.05979125217 + 11611.1539928667*$t);
$X2 += 0.00000000039*cos(2.75953361592 + 5243.80542171749*$t);
$X2 += 0.00000000036*cos(1.79555223900 + 19801.1897737083*$t);
$X2 += 0.00000000038*cos(0.48175253779 + 8186.7564799761*$t);
$X2 += 0.00000000045*cos(1.66666762132 + 5628.7126527277*$t);
$X2 += 0.00000000038*cos(1.09319366612 + 11614.6771112157*$t);
$X2 += 0.00000000042*cos(1.58323618910 + 6677.8782422313*$t);
$X2 += 0.00000000037*cos(0.09890574681 + 8428.9974489831*$t);
$X2 += 0.00000000036*cos(4.11399535323 + 17655.0243572331*$t);
$X2 += 0.00000000036*cos(4.93312159758 + 19800.7021387413*$t);
$X2 += 0.00000000038*cos(3.33015953455 + 22325.1488741929*$t);
$X2 += 0.00000000039*cos(0.38152703835 + 3583.0972131903*$t);
$X2 += 0.00000000044*cos(6.07368194572 + 25686.1166202915*$t);
$X2 += 0.00000000046*cos(4.61289468261 + 4447.9950498681*$t);
$X2 += 0.00000000047*cos(1.84502012984 + 8982.5668518255*$t);
$X2 += 0.00000000042*cos(2.98971092818 + 6254.38284504009*$t);
$X2 += 0.00000000035*cos(4.50369247266 + 18606.25512851669*$t);
$X2 += 0.00000000035*cos(1.76189804108 + 5099.50932260011*$t);
$X2 += 0.00000000034*cos(4.98411585506 + 5827.78465416409*$t);
$X2 += 0.00000000044*cos(5.32026095241 + 7902.8296022375*$t);
$X2 += 0.00000000034*cos(2.70658486935 + 15663.79170522509*$t);
$X2 += 0.00000000034*cos(3.06682390120 + 28230.4310401749*$t);
$X2 += 0.00000000042*cos(3.27968491376 + 13363.67384535091*$t);
$X2 += 0.00000000034*cos(5.24068810869 + 3.2793008655*$t);
$X2 += 0.00000000038*cos(5.33550411635 + 6843.9353070153*$t);
$X2 += 0.00000000033*cos(4.24587603414 + 11243.44202893729*$t);
$X2 += 0.00000000033*cos(1.58483385818 + 4778.03185838191*$t);
$X2 += 0.00000000035*cos(4.68394755805 + 26084.2656236997*$t);
$X2 += 0.00000000042*cos(3.47886429128 + 31571.0434668747*$t);
$X2 += 0.00000000034*cos(2.69688154052 + 692.4014187103*$t);
$X2 += 0.00000000034*cos(3.61044061282 + 3347.4821562171*$t);
$X2 += 0.00000000037*cos(3.09345116660 + 3341.3489302845*$t);
$X2 += 0.00000000037*cos(0.85261167200 + 3127.0695137783*$t);
$X2 += 0.00000000036*cos(1.40223718038 + 24606.3793707035*$t);
$X2 += 0.00000000032*cos(3.21575612349 + 8584.41784841729*$t);
$X2 += 0.00000000039*cos(5.52528074071 + 7255.3258342509*$t);
$X2 += 0.00000000035*cos(4.88108821778 + 3333.2550622155*$t);
$X2 += 0.00000000031*cos(5.90785295838 + 10595.9382609507*$t);
$X2 += 0.00000000030*cos(0.37640913202 + 20736.0759789091*$t);
$X2 += 0.00000000030*cos(5.34266413467 + 10713.75106384269*$t);
$X2 += 0.00000000032*cos(3.96275214977 + 1744.1821669317*$t);
$X2 += 0.00000000030*cos(2.12718216703 + 3.76693583251*$t);
$X2 += 0.00000000036*cos(5.85230454873 + 15113.74542073169*$t);
$X2 += 0.00000000030*cos(0.02303147918 + 1222.09238380491*$t);
$X2 += 0.00000000031*cos(2.44338692629 + 2575.0631797369*$t);
$X2 += 0.00000000031*cos(0.53878733876 + 4106.6493086297*$t);
$X2 += 0.00000000029*cos(6.26168191376 + 8827.14645239129*$t);
$X2 += 0.00000000030*cos(4.97271935437 + 640.6337898987*$t);
$X2 += 0.00000000037*cos(1.22493098074 + 14712.5609339415*$t);
$X2 += 0.00000000028*cos(1.67581087356 + 12509.4971425307*$t);
$X2 += 0.00000000030*cos(2.88869644863 + 6282.83203250789*$t);
$X2 += 0.00000000029*cos(2.04175207609 + 16276.7077601065*$t);
$X2 += 0.00000000028*cos(0.37303060773 + 8440.1217492999*$t);
$X2 += 0.00000000032*cos(6.06171055220 + 11769.6098756829*$t);
$X2 += 0.00000000030*cos(0.66860843732 + 24076.6884056089*$t);
$X2 += 0.00000000028*cos(2.16704382280 + 15651.03756779411*$t);
$X2 += 0.00000000035*cos(3.10903764323 + 19004.4041319249*$t);
$X2 += 0.00000000035*cos(1.22211763949 + 14712.07329897449*$t);
$X2 += 0.00000000028*cos(5.99561319996 + 3553.66770465429*$t);
$X2 += 0.00000000027*cos(0.10827338046 + 17101.4549543907*$t);
$X2 += 0.00000000029*cos(5.93234517199 + 27831.79440179969*$t);
$X2 += 0.00000000029*cos(2.79075251840 + 27832.2820367667*$t);
$X2 += 0.00000000027*cos(4.82458640917 + 31172.8944634665*$t);
$X2 += 0.00000000027*cos(0.38322826891 + 3312.4070567155*$t);
$X2 += 0.00000000026*cos(5.35970768977 + 7373.62627210991*$t);
$X2 += 0.00000000033*cos(4.81267899723 + 5629.2002876947*$t);
$X2 += 0.00000000027*cos(5.74554498508 + 3369.3054316511*$t);
$X2 += 0.00000000027*cos(4.16679929541 + 15265.64270181689*$t);
$X2 += 0.00000000034*cos(1.66093650866 + 28628.5800435831*$t);
$X2 += 0.00000000027*cos(1.74573120715 + 19402.55313533309*$t);
$X2 += 0.00000000027*cos(0.24189728224 + 29026.7290469913*$t);
$X2 += 0.00000000026*cos(0.95064703918 + 16065.82204399129*$t);
$X2 += 0.00000000026*cos(0.09426007080 + 21548.7185518083*$t);
$X2 += 0.00000000028*cos(3.61885820364 + 3531.81687532789*$t);
$X2 += 0.00000000033*cos(0.50594568985 + 3870.0595743109*$t);
$X2 += 0.00000000025*cos(1.32229101061 + 12722.7962379687*$t);
$X2 += 0.00000000024*cos(5.04445688037 + 22747.04689739089*$t);
$X2 += 0.00000000025*cos(2.16587276266 + 2957.4720769931*$t);
$X2 += 0.00000000032*cos(0.05221443708 + 12302.8239591265*$t);
$X2 += 0.00000000023*cos(6.01606332444 + 20597.4877805247*$t);
$X2 += 0.00000000026*cos(0.77786131261 + 3877.6607562787*$t);
$X2 += 0.00000000025*cos(0.88197322398 + 27433.64539839149*$t);
$X2 += 0.00000000022*cos(2.17540514796 + 17654.5367222661*$t);
$X2 += 0.00000000021*cos(1.97613972525 + 5085.2822285985*$t);
$X2 += 0.00000000022*cos(4.45819756524 + 13745.10242153889*$t);
$X2 += 0.00000000023*cos(4.28492772247 + 3325.6037729983*$t);
$X2 += 0.00000000022*cos(2.49953342580 + 10714.23869880971*$t);
$X2 += 0.00000000023*cos(1.84356256708 + 3356.10871536831*$t);
$X2 += 0.00000000022*cos(4.79335421406 + 13916.2629271251*$t);
$X2 += 0.00000000020*cos(0.07454477807 + 13518.1139237169*$t);
$X2 += 0.00000000020*cos(0.61605943900 + 14054.36349054249*$t);
$X2 += 0.00000000020*cos(0.61605943900 + 14054.8511255095*$t);
$X2 += 0.00000000020*cos(5.18934224543 + 14071.19569159229*$t);
$X2 += 0.00000000021*cos(1.21172782919 + 20354.27154158369*$t);
$X2 += 0.00000000027*cos(1.65038286221 + 23694.8839682835*$t);
$X2 += 0.00000000027*cos(3.71231869252 + 11925.03027511709*$t);
$X2 += 0.00000000023*cos(3.11201039786 + 1588.82907780029*$t);
$X2 += 0.00000000020*cos(6.21683766974 + 2817.7911911225*$t);
$X2 += 0.00000000020*cos(3.92465652923 + 29977.95981827489*$t);
$X2 += 0.00000000019*cos(0.91394718054 + 27035.9840299503*$t);
$X2 += 0.00000000020*cos(5.18320463527 + 9381.2034902007*$t);
$X2 += 0.00000000020*cos(3.28496788336 + 1063.14886602171*$t);
$X2 += 0.00000000020*cos(3.64150715316 + 36659.6723066415*$t);
$X2 += 0.00000000021*cos(1.85047642439 + 10596.4258959177*$t);
$X2 += 0.00000000019*cos(5.49838475903 + 3340.43591951909*$t);
$X2 += 0.00000000020*cos(3.94260953954 + 34911.6558935745*$t);
$X2 += 0.00000000019*cos(1.47273454627 + 23539.9512038163*$t);
$X2 += 0.00000000019*cos(4.12041236337 + 40000.2847333413*$t);
$X2 += 0.00000000020*cos(0.43561923981 + 2803.56409712089*$t);
$X2 += 0.00000000024*cos(2.07709746581 + 9225.29545579949*$t);
$X2 += 0.00000000024*cos(1.38288674852 + 30376.5964566501*$t);
$X2 += 0.00000000022*cos(5.18167767699 + 537.0483295789*$t);
$X2 += 0.00000000019*cos(6.22455531250 + 30774.7454600583*$t);
$X2 += 0.00000000024*cos(4.96348676377 + 21946.86755521649*$t);
$X2 += 0.00000000020*cos(5.27217035189 + 10787.3865270623*$t);
$X2 += 0.00000000018*cos(2.50890520490 + 23938.1002072245*$t);
$X2 += 0.00000000018*cos(2.22783415294 + 2487.6598624313*$t);
$X2 += 0.00000000018*cos(1.88162325221 + 24491.18197509989*$t);
$X2 += 0.00000000021*cos(2.34416498409 + 522.8212355773*$t);
$X2 += 0.00000000023*cos(0.88923789924 + 37455.9703134579*$t);
$X2 += 0.00000000024*cos(5.88546419101 + 3077.77232081051*$t);
$X2 += 0.00000000018*cos(5.95267160454 + 18208.1061251085*$t);
$X2 += 0.00000000024*cos(5.81264582562 + 4393.1246273717*$t);
$X2 += 0.00000000022*cos(3.63700445171 + 13915.77529215809*$t);
$X2 += 0.00000000020*cos(5.90812888983 + 3340.3012989135*$t);
$X2 += 0.00000000017*cos(3.57017871636 + 22345.0165586247*$t);
$X2 += 0.00000000018*cos(3.83484681339 + 3492.7535252685*$t);
$X2 += 0.00000000018*cos(2.28892010525 + 3188.95896309811*$t);
$X2 += 0.00000000017*cos(0.73986431664 + 17013.65911488389*$t);
$X2 += 0.00000000017*cos(4.16857207200 + 28229.94340520789*$t);
$X2 += 0.00000000017*cos(4.56595596791 + 8186.2688450091*$t);
$X2 += 0.00000000017*cos(2.84716533138 + 5618.5636223449*$t);
$X2 += 0.00000000016*cos(2.75060309814 + 29978.4474532419*$t);
$X2 += 0.00000000016*cos(3.77900213334 + 10448.6792884589*$t);
$X2 += 0.00000000022*cos(0.24435502443 + 3603.9401675561*$t);
$X2 += 0.00000000021*cos(3.48477603406 + 26637.34739157509*$t);
$X2 += 0.00000000015*cos(2.15480342032 + 11371.4608722747*$t);
$X2 += 0.00000000018*cos(2.23032843213 + 18451.3223640495*$t);
$X2 += 0.00000000015*cos(5.97010854409 + 23546.9974405143*$t);
$X2 += 0.00000000020*cos(3.19548468220 + 33319.0598799417*$t);
$X2 += 0.00000000015*cos(2.57021608840 + 17277.6507493173*$t);
$X2 += 0.00000000020*cos(5.73090127884 + 20043.43074271529*$t);
return $X2*$t*$t;
}
function Mars_X3($t) // 192 terms of order 3
{
$X3 = 0.00001905181*cos(0.55093544444 + 0.2438174835*$t);
$X3 += 0.00000638154*cos(1.43815993842 + 6681.46867088311*$t);
$X3 += 0.00000315844*cos(2.25892403607 + 10022.0810975829*$t);
$X3 += 0.00000167935*cos(2.76973197145 + 3340.36860921629*$t);
$X3 += 0.00000088045*cos(2.71691445968 + 13362.6935242827*$t);
$X3 += 0.00000034296*cos(1.41715335205 + 3340.8562441833*$t);
$X3 += 0.00000019004*cos(3.10474615459 + 16703.3059509825*$t);
$X3 += 0.00000017309*cos(3.53485555448 + 3496.2766436175*$t);
$X3 += 0.00000017052*cos(5.71088724992 + 3185.43584474911*$t);
$X3 += 0.00000012081*cos(2.98816202142 + 6680.98103591609*$t);
$X3 += 0.00000008036*cos(6.01800755163 + 3337.33312583431*$t);
$X3 += 0.00000008075*cos(2.89215175615 + 3344.3793625323*$t);
$X3 += 0.00000003586*cos(3.46976109002 + 20043.9183776823*$t);
$X3 += 0.00000003728*cos(4.30810867123 + 3583.5848481573*$t);
$X3 += 0.00000003708*cos(4.94088205435 + 3098.1276402093*$t);
$X3 += 0.00000002838*cos(3.43415575124 + 6684.9917892321*$t);
$X3 += 0.00000002391*cos(6.07237527440 + 6526.04827144891*$t);
$X3 += 0.00000002389*cos(2.12960839543 + 3894.4256470257*$t);
$X3 += 0.00000002358*cos(0.82395288049 + 2787.2868413409*$t);
$X3 += 0.00000002166*cos(4.15770883257 + 155.17658195069*$t);
$X3 += 0.00000001411*cos(3.32468261407 + 10021.5934626159*$t);
$X3 += 0.00000001300*cos(0.72724281150 + 4292.5746504339*$t);
$X3 += 0.00000001268*cos(2.20906408368 + 2389.1378379327*$t);
$X3 += 0.00000001168*cos(1.89867328281 + 3149.4079780717*$t);
$X3 += 0.00000001170*cos(0.77806649581 + 3532.3045102949*$t);
$X3 += 0.00000001149*cos(1.82712058880 + 4137.1542509997*$t);
$X3 += 0.00000001000*cos(2.35347706930 + 3339.8759231151*$t);
$X3 += 0.00000001053*cos(0.86855974610 + 2544.5582373669*$t);
$X3 += 0.00000000909*cos(5.60595748036 + 4690.7236538421*$t);
$X3 += 0.00000000997*cos(0.51493534476 + 3341.83656525151*$t);
$X3 += 0.00000000874*cos(3.57638185545 + 1990.9888345245*$t);
$X3 += 0.00000000773*cos(3.83045600398 + 10025.6042159319*$t);
$X3 += 0.00000000800*cos(3.22880764813 + 3723.7527764065*$t);
$X3 += 0.00000000785*cos(5.96799151563 + 2957.9597119601*$t);
$X3 += 0.00000000624*cos(3.82443513781 + 23384.5308043821*$t);
$X3 += 0.00000000586*cos(5.53512020922 + 1059.6257476727*$t);
$X3 += 0.00000000721*cos(0.50440664244 + 4535.3032544079*$t);
$X3 += 0.00000000636*cos(4.17907998332 + 5088.8726572503*$t);
$X3 += 0.00000000615*cos(2.33680720167 + 2146.4092339587*$t);
$X3 += 0.00000000474*cos(5.37074646349 + 2942.7072407751*$t);
$X3 += 0.00000000604*cos(4.91081510372 + 1592.8398311163*$t);
$X3 += 0.00000000450*cos(1.89317206758 + 3333.7426971825*$t);
$X3 += 0.00000000486*cos(2.92245527853 + 3739.0052475915*$t);
$X3 += 0.00000000417*cos(1.04177275312 + 3347.96979118411*$t);
$X3 += 0.00000000400*cos(0.45853342120 + 4400.2381743725*$t);
$X3 += 0.00000000374*cos(3.38310907177 + 6836.8890703173*$t);
$X3 += 0.00000000488*cos(4.66492474940 + 6924.1972748571*$t);
$X3 += 0.00000000399*cos(2.43777775214 + 6490.0204047715*$t);
$X3 += 0.00000000356*cos(1.18950177450 + 6127.8992680407*$t);
$X3 += 0.00000000362*cos(2.14655068421 + 5622.08674069391*$t);
$X3 += 0.00000000295*cos(3.68111290408 + 7079.61767429131*$t);
$X3 += 0.00000000356*cos(0.14502929692 + 9866.66069814871*$t);
$X3 += 0.00000000340*cos(2.28749442266 + 7477.7666776995*$t);
$X3 += 0.00000000239*cos(5.17898361533 + 6438.7400669091*$t);
$X3 += 0.00000000214*cos(0.95650348151 + 6682.44899195131*$t);
$X3 += 0.00000000184*cos(3.67133608119 + 13362.2058893157*$t);
$X3 += 0.00000000176*cos(3.96314611309 + 5331.6012612243*$t);
$X3 += 0.00000000215*cos(2.58410594073 + 5729.7502646325*$t);
$X3 += 0.00000000159*cos(5.31902457668 + 4933.4522578161*$t);
$X3 += 0.00000000148*cos(0.07133203651 + 6298.57213865991*$t);
$X3 += 0.00000000154*cos(5.64200281325 + 6677.9455525341*$t);
$X3 += 0.00000000153*cos(0.89551511976 + 7875.91568110771*$t);
$X3 += 0.00000000157*cos(6.03012929865 + 796.5418242999*$t);
$X3 += 0.00000000172*cos(4.18899228750 + 13366.21664263171*$t);
$X3 += 0.00000000143*cos(2.39578247400 + 7235.0380737255*$t);
$X3 += 0.00000000155*cos(0.96938893909 + 7740.8506010723*$t);
$X3 += 0.00000000116*cos(4.64918761388 + 1194.6908277081*$t);
$X3 += 0.00000000106*cos(3.00887462201 + 155.6642169177*$t);
$X3 += 0.00000000089*cos(4.02630363689 + 3343.8917275653*$t);
$X3 += 0.00000000100*cos(2.87689937674 + 9830.6328314713*$t);
$X3 += 0.00000000108*cos(4.17718423869 + 10420.23010099111*$t);
$X3 += 0.00000000084*cos(2.68446580877 + 10818.3791043993*$t);
$X3 += 0.00000000098*cos(4.17525996193 + 26725.1432310819*$t);
$X3 += 0.00000000076*cos(0.87920756584 + 4929.92913946711*$t);
$X3 += 0.00000000074*cos(1.00299622836 + 7633.1870771337*$t);
$X3 += 0.00000000086*cos(5.15622842132 + 1589.3167127673*$t);
$X3 += 0.00000000072*cos(6.20405951094 + 5885.1706640667*$t);
$X3 += 0.00000000062*cos(1.68960801507 + 5487.0216606585*$t);
$X3 += 0.00000000065*cos(5.02060335506 + 10264.80970155691*$t);
$X3 += 0.00000000062*cos(3.09389208181 + 7211.1596359777*$t);
$X3 += 0.00000000082*cos(1.44324153466 + 6688.5822178839*$t);
$X3 += 0.00000000057*cos(4.66555911574 + 12833.00255918811*$t);
$X3 += 0.00000000057*cos(1.54372665386 + 9468.51169474051*$t);
$X3 += 0.00000000056*cos(5.13139205932 + 6681.45141723091*$t);
$X3 += 0.00000000056*cos(0.87897817015 + 6681.4859245353*$t);
$X3 += 0.00000000069*cos(2.58172462044 + 796.0541893329*$t);
$X3 += 0.00000000065*cos(1.91690600798 + 3870.54720927791*$t);
$X3 += 0.00000000067*cos(3.74829679592 + 9492.3901324883*$t);
$X3 += 0.00000000051*cos(5.79032862137 + 8274.0646845159*$t);
$X3 += 0.00000000048*cos(3.88765170229 + 397.9051859247*$t);
$X3 += 0.00000000050*cos(0.50123821286 + 13207.27312484851*$t);
$X3 += 0.00000000043*cos(5.49155036342 + 426.8420083595*$t);
$X3 += 0.00000000044*cos(5.87908345436 + 8031.3360805419*$t);
$X3 += 0.00000000039*cos(1.20945071946 + 1194.2031927411*$t);
$X3 += 0.00000000043*cos(1.35709156628 + 10023.06141865111*$t);
$X3 += 0.00000000044*cos(0.94709794694 + 5092.3957755993*$t);
$X3 += 0.00000000037*cos(0.18533157058 + 8827.6340873583*$t);
$X3 += 0.00000000042*cos(1.70772874502 + 10022.0983512351*$t);
$X3 += 0.00000000043*cos(0.30947981672 + 3184.9482097821*$t);
$X3 += 0.00000000033*cos(2.40776286352 + 1349.62359217529*$t);
$X3 += 0.00000000035*cos(2.95444208499 + 9070.3626913323*$t);
$X3 += 0.00000000036*cos(1.36035547703 + 11081.46302777211*$t);
$X3 += 0.00000000044*cos(0.12174745615 + 12303.3115940935*$t);
$X3 += 0.00000000033*cos(0.88839870426 + 15643.9240207933*$t);
$X3 += 0.00000000042*cos(5.96028045375 + 10022.06384393071*$t);
$X3 += 0.00000000032*cos(5.66439939781 + 10018.5579792339*$t);
$X3 += 0.00000000029*cos(1.54951760073 + 3495.78900865049*$t);
$X3 += 0.00000000032*cos(2.40303298785 + 6680.4883498149*$t);
$X3 += 0.00000000031*cos(1.90739176085 + 7.3573644843*$t);
$X3 += 0.00000000036*cos(3.46372584197 + 7064.3652031063*$t);
$X3 += 0.00000000026*cos(1.27046456409 + 11216.5281078075*$t);
$X3 += 0.00000000035*cos(4.70034992379 + 3336.8454908673*$t);
$X3 += 0.00000000025*cos(3.03604811102 + 10575.6505004253*$t);
$X3 += 0.00000000033*cos(4.36445511764 + 8672.21368792411*$t);
$X3 += 0.00000000026*cos(5.99843166178 + 1592.3521961493*$t);
$X3 += 0.00000000027*cos(3.98200757587 + 16702.81831601549*$t);
$X3 += 0.00000000025*cos(4.57948088729 + 13760.8425276909*$t);
$X3 += 0.00000000027*cos(3.09776670837 + 191.2044486281*$t);
$X3 += 0.00000000026*cos(3.54518463791 + 6894.76776632111*$t);
$X3 += 0.00000000023*cos(5.85147228213 + 2281.4743139941*$t);
$X3 += 0.00000000027*cos(4.51774923051 + 16706.8290693315*$t);
$X3 += 0.00000000026*cos(5.53508596353 + 8433.00820229911*$t);
$X3 += 0.00000000028*cos(3.36273080390 + 9623.9320941747*$t);
$X3 += 0.00000000027*cos(5.85014917702 + 2145.92159899169*$t);
$X3 += 0.00000000024*cos(1.25782822684 + 8270.5415661669*$t);
$X3 += 0.00000000026*cos(1.08150011094 + 1747.7725955835*$t);
$X3 += 0.00000000022*cos(0.90453576854 + 3767.4544350593*$t);
$X3 += 0.00000000025*cos(3.82100205156 + 2811.1652790887*$t);
$X3 += 0.00000000020*cos(1.64178140869 + 3554.1553396213*$t);
$X3 += 0.00000000019*cos(4.46076005938 + 3127.5571487453*$t);
$X3 += 0.00000000022*cos(5.17308651919 + 553.32558535889*$t);
$X3 += 0.00000000023*cos(3.76515587292 + 951.4745887671*$t);
$X3 += 0.00000000019*cos(1.67275856465 + 553.8132203259*$t);
$X3 += 0.00000000026*cos(0.16277946818 + 8962.6991673937*$t);
$X3 += 0.00000000020*cos(0.43011448080 + 9639.18456535971*$t);
$X3 += 0.00000000019*cos(4.43079189104 + 2810.6776441217*$t);
$X3 += 0.00000000021*cos(0.21950833051 + 951.9622237341*$t);
$X3 += 0.00000000017*cos(3.25327411593 + 13171.2452581711*$t);
$X3 += 0.00000000022*cos(4.38492748210 + 3738.51761262449*$t);
$X3 += 0.00000000019*cos(3.21726717973 + 6681.40136058031*$t);
$X3 += 0.00000000022*cos(1.65280044894 + 10973.7995038335*$t);
$X3 += 0.00000000016*cos(2.94665873224 + 4136.66661603269*$t);
$X3 += 0.00000000019*cos(2.80877068966 + 6681.5359811859*$t);
$X3 += 0.00000000021*cos(2.92855757827 + 1748.2602305505*$t);
$X3 += 0.00000000017*cos(5.71391599259 + 382.6527147397*$t);
$X3 += 0.00000000020*cos(0.18316423734 + 2280.98667902709*$t);
$X3 += 0.00000000022*cos(4.74779376737 + 1350.1112271423*$t);
$X3 += 0.00000000016*cos(0.63462673047 + 6254.8704800071*$t);
$X3 += 0.00000000016*cos(3.93662181429 + 10551.7720626775*$t);
$X3 += 0.00000000015*cos(3.10357108475 + 10177.5014970171*$t);
$X3 += 0.00000000014*cos(5.09381800673 + 2914.2580533073*$t);
$X3 += 0.00000000014*cos(1.36653791314 + 5459.6201045617*$t);
$X3 += 0.00000000019*cos(4.60528090517 + 1990.5011995575*$t);
$X3 += 0.00000000014*cos(1.82944391532 + 10029.1946445837*$t);
$X3 += 0.00000000013*cos(4.04119501897 + 5614.9731936931*$t);
$X3 += 0.00000000015*cos(2.66542384043 + 6674.3551238823*$t);
$X3 += 0.00000000013*cos(1.51732945573 + 1066.7392946735*$t);
$X3 += 0.00000000016*cos(4.23161759812 + 640.1411037975*$t);
$X3 += 0.00000000013*cos(3.65983424195 + 5621.5991057269*$t);
$X3 += 0.00000000013*cos(1.47843905604 + 242.97242145751*$t);
$X3 += 0.00000000014*cos(0.24731425362 + 12310.42514109431*$t);
$X3 += 0.00000000013*cos(0.42091404951 + 191.6920835951*$t);
$X3 += 0.00000000011*cos(3.19331361004 + 2388.6502029657*$t);
$X3 += 0.00000000012*cos(3.12268751453 + 3148.9203431047*$t);
$X3 += 0.00000000013*cos(5.43821523436 + 2119.00767786191*$t);
$X3 += 0.00000000011*cos(5.19736362540 + 3583.0972131903*$t);
$X3 += 0.00000000011*cos(1.99832694470 + 3340.38586286849*$t);
$X3 += 0.00000000010*cos(1.49714805225 + 4534.81561944089*$t);
$X3 += 0.00000000011*cos(6.25129481290 + 3340.3513555641*$t);
$X3 += 0.00000000010*cos(4.88853298993 + 8429.4850839501*$t);
$X3 += 0.00000000010*cos(3.31545628452 + 10014.9675505821*$t);
$X3 += 0.00000000009*cos(3.88123559083 + 3320.50092478451*$t);
$X3 += 0.00000000011*cos(4.66037741803 + 8962.2115324267*$t);
$X3 += 0.00000000009*cos(2.24701790497 + 3361.2115635821*$t);
$X3 += 0.00000000009*cos(4.10537369930 + 12296.1980470927*$t);
$X3 += 0.00000000010*cos(5.06205358587 + 16173.6149858879*$t);
$X3 += 0.00000000009*cos(2.02386810043 + 1052.51220067191*$t);
$X3 += 0.00000000009*cos(3.68063634198 + 5614.48555872609*$t);
$X3 += 0.00000000010*cos(1.99400297925 + 529.9347825781*$t);
$X3 += 0.00000000008*cos(6.05827415687 + 3893.93801205869*$t);
$X3 += 0.00000000009*cos(5.82204012446 + 3325.6037729983*$t);
$X3 += 0.00000000008*cos(1.82638763774 + 2786.7992063739*$t);
$X3 += 0.00000000009*cos(0.30647315712 + 3356.10871536831*$t);
$X3 += 0.00000000011*cos(4.85651046171 + 242.4847864905*$t);
$X3 += 0.00000000009*cos(1.42556082626 + 1751.7833488995*$t);
$X3 += 0.00000000007*cos(0.31910199684 + 2957.4720769931*$t);
$X3 += 0.00000000008*cos(4.58643573119 + 4292.0870154669*$t);
$X3 += 0.00000000007*cos(3.02875762795 + 14158.9915310991*$t);
$X3 += 0.00000000010*cos(3.75880088864 + 529.44714761109*$t);
$X3 += 0.00000000010*cos(4.75162534448 + 12302.8239591265*$t);
$X3 += 0.00000000009*cos(4.40822524545 + 6684.5041542651*$t);
$X3 += 0.00000000008*cos(5.21609653228 + 2273.8731320263*$t);
return $X3*$t*$t*$t;
}
function Mars_X4($t) // 81 terms of order 4
{
$X4 = 0.00000174339*cos(4.50461485471 + 3340.8562441833*$t);
$X4 += 0.00000065332*cos(1.45277537677 + 0.2438174835*$t);
$X4 += 0.00000021612*cos(5.47577416210 + 6681.46867088311*$t);
$X4 += 0.00000012491*cos(0.51687441739 + 10022.0810975829*$t);
$X4 += 0.00000005152*cos(1.11384612445 + 13362.6935242827*$t);
$X4 += 0.00000002432*cos(5.03376242803 + 3496.2766436175*$t);
$X4 += 0.00000002407*cos(4.19068604389 + 3185.43584474911*$t);
$X4 += 0.00000001485*cos(1.55324524407 + 16703.3059509825*$t);
$X4 += 0.00000001453*cos(1.17593053226 + 3340.36860921629*$t);
$X4 += 0.00000000592*cos(2.79217502706 + 3583.5848481573*$t);
$X4 += 0.00000000596*cos(0.15627931299 + 3098.1276402093*$t);
$X4 += 0.00000000649*cos(1.53914017168 + 6680.98103591609*$t);
$X4 += 0.00000000380*cos(4.55600229997 + 6526.04827144891*$t);
$X4 += 0.00000000351*cos(1.94518064214 + 20043.9183776823*$t);
$X4 += 0.00000000281*cos(1.02784973125 + 3344.3793625323*$t);
$X4 += 0.00000000275*cos(1.11119927155 + 3337.33312583431*$t);
$X4 += 0.00000000287*cos(3.61921656726 + 3894.4256470257*$t);
$X4 += 0.00000000285*cos(5.58839678189 + 2787.2868413409*$t);
$X4 += 0.00000000151*cos(1.78910865682 + 6684.9917892321*$t);
$X4 += 0.00000000128*cos(5.24790443912 + 6836.8890703173*$t);
$X4 += 0.00000000111*cos(1.85011350887 + 10021.5934626159*$t);
$X4 += 0.00000000088*cos(3.15545951202 + 6924.1972748571*$t);
$X4 += 0.00000000071*cos(2.31380588062 + 23384.5308043821*$t);
$X4 += 0.00000000055*cos(2.26852590135 + 10025.6042159319*$t);
$X4 += 0.00000000048*cos(5.95592456117 + 6127.8992680407*$t);
$X4 += 0.00000000063*cos(4.91767924460 + 9866.66069814871*$t);
$X4 += 0.00000000034*cos(0.35023274977 + 6438.7400669091*$t);
$X4 += 0.00000000033*cos(3.27139275821 + 1059.6257476727*$t);
$X4 += 0.00000000019*cos(2.14803379863 + 13362.2058893157*$t);
$X4 += 0.00000000018*cos(0.78782665763 + 6490.0204047715*$t);
$X4 += 0.00000000016*cos(5.21278468290 + 3149.4079780717*$t);
$X4 += 0.00000000016*cos(5.81489292910 + 2942.7072407751*$t);
$X4 += 0.00000000015*cos(0.86980577909 + 3532.3045102949*$t);
$X4 += 0.00000000015*cos(1.05784197172 + 2544.5582373669*$t);
$X4 += 0.00000000014*cos(2.75650621307 + 5622.08674069391*$t);
$X4 += 0.00000000014*cos(0.20093505699 + 3739.0052475915*$t);
$X4 += 0.00000000013*cos(4.83578063472 + 4400.2381743725*$t);
$X4 += 0.00000000013*cos(5.02472221311 + 4137.1542509997*$t);
$X4 += 0.00000000012*cos(3.15784569291 + 1194.6908277081*$t);
$X4 += 0.00000000012*cos(5.66215318851 + 6682.44899195131*$t);
$X4 += 0.00000000015*cos(0.65316905429 + 7477.7666776995*$t);
$X4 += 0.00000000011*cos(1.92062639148 + 7079.61767429131*$t);
$X4 += 0.00000000015*cos(5.27033110100 + 529.9347825781*$t);
$X4 += 0.00000000013*cos(5.72126392176 + 10177.5014970171*$t);
$X4 += 0.00000000014*cos(3.84659935898 + 7235.0380737255*$t);
$X4 += 0.00000000011*cos(3.51933198406 + 10264.80970155691*$t);
$X4 += 0.00000000013*cos(2.66285978116 + 13366.21664263171*$t);
$X4 += 0.00000000010*cos(4.52594962497 + 796.5418242999*$t);
$X4 += 0.00000000010*cos(2.37075551462 + 5331.6012612243*$t);
$X4 += 0.00000000012*cos(1.03827349416 + 5729.7502646325*$t);
$X4 += 0.00000000011*cos(2.64809487107 + 26725.1432310819*$t);
$X4 += 0.00000000008*cos(4.81245299131 + 6298.57213865991*$t);
$X4 += 0.00000000008*cos(3.95118300322 + 3340.8734978355*$t);
$X4 += 0.00000000008*cos(1.92041137172 + 3340.83899053111*$t);
$X4 += 0.00000000007*cos(0.43533123258 + 1990.9888345245*$t);
$X4 += 0.00000000009*cos(3.50915514440 + 2280.98667902709*$t);
$X4 += 0.00000000007*cos(5.60821148288 + 7875.91568110771*$t);
$X4 += 0.00000000008*cos(3.59280368451 + 4933.4522578161*$t);
$X4 += 0.00000000007*cos(5.32208951844 + 2389.1378379327*$t);
$X4 += 0.00000000009*cos(1.82497486389 + 1592.8398311163*$t);
$X4 += 0.00000000007*cos(2.39846706486 + 3339.8759231151*$t);
$X4 += 0.00000000007*cos(3.71269284859 + 3341.83656525151*$t);
$X4 += 0.00000000007*cos(2.58444553246 + 3343.8917275653*$t);
$X4 += 0.00000000006*cos(0.55736215127 + 6151.7777057885*$t);
$X4 += 0.00000000007*cos(5.10772331644 + 3184.9482097821*$t);
$X4 += 0.00000000007*cos(1.05272897981 + 155.17658195069*$t);
$X4 += 0.00000000006*cos(3.65850030907 + 1589.3167127673*$t);
$X4 += 0.00000000005*cos(2.88251144144 + 5487.0216606585*$t);
$X4 += 0.00000000005*cos(1.46784159994 + 5885.1706640667*$t);
$X4 += 0.00000000005*cos(0.80161683332 + 4292.5746504339*$t);
$X4 += 0.00000000006*cos(2.45234336003 + 2146.4092339587*$t);
$X4 += 0.00000000005*cos(5.68329332382 + 4690.7236538421*$t);
$X4 += 0.00000000005*cos(2.80269016526 + 2957.9597119601*$t);
$X4 += 0.00000000004*cos(5.28325791601 + 13207.27312484851*$t);
$X4 += 0.00000000005*cos(3.64094054061 + 4535.3032544079*$t);
$X4 += 0.00000000004*cos(3.31472278070 + 3723.7527764065*$t);
$X4 += 0.00000000005*cos(4.28302336857 + 5088.8726572503*$t);
$X4 += 0.00000000004*cos(0.05439896723 + 9468.51169474051*$t);
$X4 += 0.00000000004*cos(5.79414027536 + 398.3928208917*$t);
$X4 += 0.00000000003*cos(6.01492767118 + 3870.54720927791*$t);
$X4 += 0.00000000003*cos(5.81270604686 + 7633.1870771337*$t);
return $X4*$t*$t*$t*$t;
}
function Mars_X5($t) // 26 terms of order 5
{
$X5 = 0.00000002822*cos(2.53736821761 + 0.2438174835*$t);
$X5 += 0.00000001310*cos(4.62457430290 + 3340.8562441833*$t);
$X5 += 0.00000000954*cos(3.55909372543 + 6681.46867088311*$t);
$X5 += 0.00000000429*cos(4.88697356497 + 10022.0810975829*$t);
$X5 += 0.00000000275*cos(0.24510755091 + 3496.2766436175*$t);
$X5 += 0.00000000272*cos(2.66437498180 + 3185.43584474911*$t);
$X5 += 0.00000000241*cos(5.73070473130 + 13362.6935242827*$t);
$X5 += 0.00000000262*cos(6.24547382421 + 3340.36860921629*$t);
$X5 += 0.00000000092*cos(6.24977577619 + 16703.3059509825*$t);
$X5 += 0.00000000076*cos(1.27309430645 + 3583.5848481573*$t);
$X5 += 0.00000000077*cos(1.65718815142 + 3098.1276402093*$t);
$X5 += 0.00000000049*cos(3.03838424904 + 6526.04827144891*$t);
$X5 += 0.00000000032*cos(0.11875540710 + 6680.98103591609*$t);
$X5 += 0.00000000026*cos(0.39487275836 + 20043.9183776823*$t);
$X5 += 0.00000000027*cos(5.12576113855 + 3894.4256470257*$t);
$X5 += 0.00000000026*cos(4.04351110154 + 2787.2868413409*$t);
$X5 += 0.00000000013*cos(0.43187059389 + 6836.8890703173*$t);
$X5 += 0.00000000013*cos(1.64004823919 + 6924.1972748571*$t);
$X5 += 0.00000000006*cos(0.36382978226 + 10021.5934626159*$t);
$X5 += 0.00000000007*cos(1.40323245136 + 3337.33312583431*$t);
$X5 += 0.00000000007*cos(4.61746707728 + 3344.3793625323*$t);
$X5 += 0.00000000005*cos(4.43055095713 + 6127.8992680407*$t);
$X5 += 0.00000000007*cos(3.39474539876 + 9866.66069814871*$t);
$X5 += 0.00000000006*cos(0.04415481578 + 6684.9917892321*$t);
$X5 += 0.00000000005*cos(0.78203649698 + 23384.5308043821*$t);
$X5 += 0.00000000004*cos(1.85425114024 + 6438.7400669091*$t);
return $X5*$t*$t*$t*$t*$t;
}
function Mars_Y0($t) // 1907 terms of order 0
{
$Y0 = 1.51664432758*cos(4.63267999004 + 3340.8562441833*$t);
$Y0 += 0.21337343470*cos(1.15310710021 + 0.2438174835*$t);
$Y0 += 0.07067734657*cos(4.97080577669 + 6681.46867088311*$t);
$Y0 += 0.00494034875*cos(5.30892921206 + 10022.0810975829*$t);
$Y0 += 0.00135189385*cos(2.16683537182 + 3340.36860921629*$t);
$Y0 += 0.00040927830*cos(5.64705236353 + 13362.6935242827*$t);
$Y0 += 0.00021051988*cos(0.23298189024 + 3337.33312583431*$t);
$Y0 += 0.00021027270*cos(5.89078683719 + 3344.3793625323*$t);
$Y0 += 0.00011370204*cos(3.26158494021 + 1059.6257476727*$t);
$Y0 += 0.00013426076*cos(5.34254489555 + 529.9347825781*$t);
$Y0 += 0.00006769403*cos(2.04649779939 + 3340.83899053111*$t);
$Y0 += 0.00006769355*cos(4.07726943088 + 3340.8734978355*$t);
$Y0 += 0.00008285925*cos(3.43188641054 + 2280.98667902709*$t);
$Y0 += 0.00005433910*cos(5.83045260147 + 2942.7072407751*$t);
$Y0 += 0.00004813330*cos(0.27943415467 + 3739.0052475915*$t);
$Y0 += 0.00004893493*cos(2.85680765111 + 5622.08674069391*$t);
$Y0 += 0.00005269759*cos(0.75939928833 + 6151.7777057885*$t);
$Y0 += 0.00003774767*cos(2.39590149517 + 6680.98103591609*$t);
$Y0 += 0.00003623045*cos(4.53783234193 + 796.5418242999*$t);
$Y0 += 0.00003725058*cos(5.98517547467 + 16703.3059509825*$t);
$Y0 += 0.00003767289*cos(5.93443742300 + 398.3928208917*$t);
$Y0 += 0.00002396177*cos(5.34735734199 + 3149.4079780717*$t);
$Y0 += 0.00002262756*cos(0.77787856455 + 3532.3045102949*$t);
$Y0 += 0.00001976674*cos(0.56979018369 + 6677.9455525341*$t);
$Y0 += 0.00002227632*cos(0.12453915456 + 3340.78893388051*$t);
$Y0 += 0.00002227573*cos(5.99922807490 + 3340.9235544861*$t);
$Y0 += 0.00001950645*cos(1.15729484520 + 2544.5582373669*$t);
$Y0 += 0.00002179897*cos(0.12455085977 + 6283.3196674749*$t);
$Y0 += 0.00001684046*cos(1.57848903772 + 5885.1706640667*$t);
$Y0 += 0.00002237564*cos(3.25024245156 + 8962.6991673937*$t);
$Y0 += 0.00001629438*cos(4.95303923805 + 4137.1542509997*$t);
$Y0 += 0.00001957286*cos(6.23124655952 + 6684.9917892321*$t);
$Y0 += 0.00001382161*cos(3.74262124968 + 1751.2957139325*$t);
$Y0 += 0.00001364523*cos(5.17298469073 + 2811.1652790887*$t);
$Y0 += 0.00001285835*cos(3.13464527657 + 1194.6908277081*$t);
$Y0 += 0.00001468951*cos(0.30602473382 + 3870.54720927791*$t);
$Y0 += 0.00001572210*cos(3.27704899210 + 1589.3167127673*$t);
$Y0 += 0.00000955879*cos(3.79979264711 + 426.8420083595*$t);
$Y0 += 0.00000819304*cos(3.58795489460 + 4400.2381743725*$t);
$Y0 += 0.00000714429*cos(4.49383093867 + 191.2044486281*$t);
$Y0 += 0.00000719663*cos(1.08407118449 + 9492.3901324883*$t);
$Y0 += 0.00000643260*cos(2.98709791321 + 5487.0216606585*$t);
$Y0 += 0.00000795172*cos(2.82580884918 + 5092.3957755993*$t);
$Y0 += 0.00000630906*cos(2.38462144554 + 6681.45141723091*$t);
$Y0 += 0.00000630906*cos(4.41539307703 + 6681.4859245353*$t);
$Y0 += 0.00000782173*cos(2.73881042817 + 5091.90814063229*$t);
$Y0 += 0.00000703756*cos(5.67896443651 + 213.5429129215*$t);
$Y0 += 0.00000581847*cos(2.38152204086 + 3185.43584474911*$t);
$Y0 += 0.00000553454*cos(3.74330200173 + 3496.2766436175*$t);
$Y0 += 0.00000663460*cos(5.31434426935 + 2544.07060239989*$t);
$Y0 += 0.00000491963*cos(0.60494800834 + 7079.61767429131*$t);
$Y0 += 0.00000426327*cos(0.43687696114 + 2145.92159899169*$t);
$Y0 += 0.00000533910*cos(1.72930733886 + 1592.8398311163*$t);
$Y0 += 0.00000386953*cos(3.50258018070 + 8433.00820229911*$t);
$Y0 += 0.00000417478*cos(2.39346049510 + 3339.8759231151*$t);
$Y0 += 0.00000417367*cos(3.73029667099 + 3341.83656525151*$t);
$Y0 += 0.00000359961*cos(0.04010115133 + 20043.9183776823*$t);
$Y0 += 0.00000352641*cos(2.31813890735 + 6254.8704800071*$t);
$Y0 += 0.00000351819*cos(3.59912427222 + 12303.3115940935*$t);
$Y0 += 0.00000321320*cos(0.37355501133 + 3554.1553396213*$t);
$Y0 += 0.00000377309*cos(2.56396696963 + 2146.4092339587*$t);
$Y0 += 0.00000307274*cos(5.65660829568 + 3127.5571487453*$t);
$Y0 += 0.00000284287*cos(0.46340069524 + 7.3573644843*$t);
$Y0 += 0.00000259684*cos(0.32305651983 + 1990.9888345245*$t);
$Y0 += 0.00000246886*cos(1.84243729588 + 1747.7725955835*$t);
$Y0 += 0.00000313688*cos(3.53520341472 + 4535.3032544079*$t);
$Y0 += 0.00000271483*cos(0.37698651521 + 6468.1695754451*$t);
$Y0 += 0.00000298122*cos(4.39537363917 + 5088.8726572503*$t);
$Y0 += 0.00000223194*cos(1.98204681533 + 3320.0808486909*$t);
$Y0 += 0.00000221461*cos(4.14148614982 + 3361.6316396757*$t);
$Y0 += 0.00000233899*cos(0.46609609268 + 9623.9320941747*$t);
$Y0 += 0.00000207617*cos(0.46266279560 + 6681.40136058031*$t);
$Y0 += 0.00000205148*cos(0.28695974581 + 10025.6042159319*$t);
$Y0 += 0.00000207784*cos(0.90748162445 + 10018.5579792339*$t);
$Y0 += 0.00000193198*cos(3.36114050168 + 2119.00767786191*$t);
$Y0 += 0.00000218630*cos(5.68765119081 + 6490.0204047715*$t);
$Y0 += 0.00000247990*cos(2.88872133203 + 2913.7704183403*$t);
$Y0 += 0.00000207617*cos(0.05416640875 + 6681.5359811859*$t);
$Y0 += 0.00000178587*cos(4.11200624291 + 1221.6047488379*$t);
$Y0 += 0.00000178400*cos(2.59904254913 + 10021.5934626159*$t);
$Y0 += 0.00000164293*cos(5.80289640537 + 4690.7236538421*$t);
$Y0 += 0.00000157091*cos(5.19939410162 + 2389.1378379327*$t);
$Y0 += 0.00000151308*cos(3.00360651428 + 4562.2171755377*$t);
$Y0 += 0.00000177027*cos(2.69928080706 + 2957.9597119601*$t);
$Y0 += 0.00000147685*cos(0.90426952883 + 7211.1596359777*$t);
$Y0 += 0.00000164646*cos(5.28805943773 + 7477.7666776995*$t);
$Y0 += 0.00000153884*cos(2.87447082637 + 640.1411037975*$t);
$Y0 += 0.00000157989*cos(3.42539314748 + 3723.7527764065*$t);
$Y0 += 0.00000146757*cos(2.84466358271 + 3337.26581553151*$t);
$Y0 += 0.00000166434*cos(1.59845879272 + 10213.5293636945*$t);
$Y0 += 0.00000146132*cos(3.27579621025 + 3344.4466728351*$t);
$Y0 += 0.00000118082*cos(2.72149356676 + 4562.70481050471*$t);
$Y0 += 0.00000119770*cos(3.08805027302 + 11773.6206289989*$t);
$Y0 += 0.00000113695*cos(0.92730568398 + 4292.5746504339*$t);
$Y0 += 0.00000143954*cos(3.79112207293 + 2787.2868413409*$t);
$Y0 += 0.00000113828*cos(1.92140197091 + 3333.7426971825*$t);
$Y0 += 0.00000112131*cos(4.78443317220 + 3205.7911641479*$t);
$Y0 += 0.00000144684*cos(3.24900405626 + 1349.62359217529*$t);
$Y0 += 0.00000118108*cos(3.61481367969 + 4929.92913946711*$t);
$Y0 += 0.00000106690*cos(1.33869953850 + 3475.92132421871*$t);
$Y0 += 0.00000120237*cos(1.83849834021 + 9225.7830907665*$t);
$Y0 += 0.00000119599*cos(2.33508766672 + 3894.4256470257*$t);
$Y0 += 0.00000104910*cos(0.80738994994 + 382.6527147397*$t);
$Y0 += 0.00000095920*cos(4.24460901134 + 3347.96979118411*$t);
$Y0 += 0.00000093778*cos(3.97176912203 + 1748.2602305505*$t);
$Y0 += 0.00000088754*cos(1.41602519781 + 12833.00255918811*$t);
$Y0 += 0.00000112794*cos(1.18558937662 + 155.17658195069*$t);
$Y0 += 0.00000091596*cos(4.65533652150 + 951.4745887671*$t);
$Y0 += 0.00000086667*cos(5.15042860741 + 3098.1276402093*$t);
$Y0 += 0.00000118500*cos(2.09460100184 + 7902.8296022375*$t);
$Y0 += 0.00000089906*cos(3.86574614268 + 2942.21960580809*$t);
$Y0 += 0.00000085205*cos(2.64363572803 + 2281.4743139941*$t);
$Y0 += 0.00000113660*cos(0.87318331181 + 5486.53402569149*$t);
$Y0 += 0.00000080640*cos(0.97118273790 + 3583.5848481573*$t);
$Y0 += 0.00000085344*cos(2.11418392564 + 4933.4522578161*$t);
$Y0 += 0.00000084447*cos(5.69213107859 + 6674.3551238823*$t);
$Y0 += 0.00000079513*cos(2.28036031190 + 5088.3850222833*$t);
$Y0 += 0.00000101901*cos(2.19454495695 + 529.44714761109*$t);
$Y0 += 0.00000073054*cos(3.46030032788 + 1052.51220067191*$t);
$Y0 += 0.00000073997*cos(4.31891480859 + 3767.4544350593*$t);
$Y0 += 0.00000070372*cos(6.06190685925 + 553.32558535889*$t);
$Y0 += 0.00000091916*cos(2.68950348204 + 9595.4829067069*$t);
$Y0 += 0.00000073607*cos(3.91508991039 + 7740.8506010723*$t);
$Y0 += 0.00000066068*cos(0.03272782030 + 1066.7392946735*$t);
$Y0 += 0.00000081219*cos(5.57497325530 + 2810.6776441217*$t);
$Y0 += 0.00000066430*cos(3.87195498920 + 2700.4713229023*$t);
$Y0 += 0.00000054145*cos(2.72166186985 + 6526.04827144891*$t);
$Y0 += 0.00000059768*cos(3.24283548288 + 6041.5713845691*$t);
$Y0 += 0.00000066173*cos(4.75351556577 + 10022.0983512351*$t);
$Y0 += 0.00000049883*cos(3.52241504779 + 3312.4070567155*$t);
$Y0 += 0.00000049178*cos(2.60154680851 + 3369.3054316511*$t);
$Y0 += 0.00000048202*cos(0.32517036897 + 397.9051859247*$t);
$Y0 += 0.00000047310*cos(3.94287633641 + 15643.9240207933*$t);
$Y0 += 0.00000048401*cos(5.71493252665 + 3.76693583251*$t);
$Y0 += 0.00000066173*cos(2.72274393427 + 10022.06384393071*$t);
$Y0 += 0.00000043167*cos(3.68410600012 + 4690.23601887509*$t);
$Y0 += 0.00000052329*cos(3.78533146894 + 7903.3172372045*$t);
$Y0 += 0.00000043258*cos(0.37554748132 + 149.8070146181*$t);
$Y0 += 0.00000053318*cos(0.93774568542 + 10420.23010099111*$t);
$Y0 += 0.00000038925*cos(4.06852349635 + 6682.44899195131*$t);
$Y0 += 0.00000043058*cos(1.14093100948 + 3325.6037729983*$t);
$Y0 += 0.00000042835*cos(4.98274982261 + 3356.10871536831*$t);
$Y0 += 0.00000049042*cos(0.37958979733 + 2273.8731320263*$t);
$Y0 += 0.00000045897*cos(3.30255905408 + 2288.1002260279*$t);
$Y0 += 0.00000036267*cos(0.37823003866 + 23384.5308043821*$t);
$Y0 += 0.00000050027*cos(0.20993213048 + 5621.5991057269*$t);
$Y0 += 0.00000041152*cos(2.03769608425 + 537.0483295789*$t);
$Y0 += 0.00000038722*cos(5.48335922125 + 522.8212355773*$t);
$Y0 += 0.00000044751*cos(2.74146086011 + 3077.77232081051*$t);
$Y0 += 0.00000031695*cos(2.65244951875 + 5629.2002876947*$t);
$Y0 += 0.00000031478*cos(0.69290700501 + 5331.6012612243*$t);
$Y0 += 0.00000033349*cos(0.55070002892 + 242.97242145751*$t);
$Y0 += 0.00000036130*cos(0.70369333471 + 9808.78200214491*$t);
$Y0 += 0.00000031660*cos(3.54279700539 + 2648.6986429565*$t);
$Y0 += 0.00000039058*cos(2.73256710316 + 6680.4883498149*$t);
$Y0 += 0.00000032374*cos(3.86940131593 + 7875.91568110771*$t);
$Y0 += 0.00000038493*cos(0.77970755386 + 6894.76776632111*$t);
$Y0 += 0.00000040044*cos(3.38354028832 + 3603.9401675561*$t);
$Y0 += 0.00000027893*cos(2.32668323191 + 7373.13863714289*$t);
$Y0 += 0.00000027665*cos(0.80854741955 + 12964.5445208745*$t);
$Y0 += 0.00000027878*cos(5.37977989507 + 1350.1112271423*$t);
$Y0 += 0.00000028322*cos(4.11041470939 + 8030.8484455749*$t);
$Y0 += 0.00000028486*cos(6.08536458002 + 5614.9731936931*$t);
$Y0 += 0.00000029761*cos(3.84843907128 + 3178.38960805111*$t);
$Y0 += 0.00000035657*cos(2.70492671014 + 8428.9974489831*$t);
$Y0 += 0.00000028159*cos(2.26219738844 + 3503.3228803155*$t);
$Y0 += 0.00000027295*cos(1.14579185082 + 213.0552779545*$t);
$Y0 += 0.00000024083*cos(2.53502654613 + 4033.0138454101*$t);
$Y0 += 0.00000023726*cos(2.22123833128 + 3320.50092478451*$t);
$Y0 += 0.00000023543*cos(3.90125907437 + 3361.2115635821*$t);
$Y0 += 0.00000024407*cos(0.04920773130 + 76.50988875911*$t);
$Y0 += 0.00000022360*cos(3.29082907917 + 15114.2330556987*$t);
$Y0 += 0.00000022681*cos(0.62465627638 + 13366.21664263171*$t);
$Y0 += 0.00000030767*cos(3.54413358961 + 102.84895673509*$t);
$Y0 += 0.00000023116*cos(2.67363493175 + 1692.40948698591*$t);
$Y0 += 0.00000024795*cos(4.51530523814 + 691.9137837433*$t);
$Y0 += 0.00000021819*cos(0.39147454554 + 10022.1484078857*$t);
$Y0 += 0.00000021420*cos(2.33354950951 + 6660.6932753907*$t);
$Y0 += 0.00000020686*cos(2.52092831971 + 1582.2031657665*$t);
$Y0 += 0.00000025165*cos(5.06243453868 + 3335.3333198759*$t);
$Y0 += 0.00000021819*cos(0.79997093238 + 10022.01378728011*$t);
$Y0 += 0.00000025110*cos(1.05972287332 + 3346.3791684907*$t);
$Y0 += 0.00000022778*cos(6.02670962938 + 9830.6328314713*$t);
$Y0 += 0.00000021875*cos(3.23482242791 + 11243.9296639043*$t);
$Y0 += 0.00000019487*cos(4.05002877465 + 3336.8454908673*$t);
$Y0 += 0.00000025048*cos(4.04459983417 + 1648.2029397139*$t);
$Y0 += 0.00000019285*cos(5.68171337975 + 3330.2195788335*$t);
$Y0 += 0.00000019206*cos(0.44033697686 + 3351.49290953311*$t);
$Y0 += 0.00000019577*cos(5.54020511510 + 6438.7400669091*$t);
$Y0 += 0.00000023713*cos(2.35775949900 + 796.0541893329*$t);
$Y0 += 0.00000018024*cos(2.37243714858 + 3.2793008655*$t);
$Y0 += 0.00000017457*cos(5.61909053663 + 6872.91693699471*$t);
$Y0 += 0.00000020758*cos(1.11119646396 + 2914.2580533073*$t);
$Y0 += 0.00000023325*cos(4.38303926683 + 1758.40926093329*$t);
$Y0 += 0.00000019762*cos(5.90704491623 + 2818.2788260895*$t);
$Y0 += 0.00000018903*cos(0.13118670804 + 3863.4336622771*$t);
$Y0 += 0.00000018548*cos(3.43514985020 + 3343.8917275653*$t);
$Y0 += 0.00000020024*cos(3.66434113579 + 9382.18381126891*$t);
$Y0 += 0.00000023004*cos(1.24456792545 + 13359.1704059337*$t);
$Y0 += 0.00000020686*cos(4.47763433062 + 6702.2440663755*$t);
$Y0 += 0.00000017546*cos(5.48185771093 + 3074.24920246151*$t);
$Y0 += 0.00000021953*cos(1.45487277078 + 10713.75106384269*$t);
$Y0 += 0.00000022478*cos(4.93708763645 + 3531.81687532789*$t);
$Y0 += 0.00000017443*cos(1.52686638431 + 7063.87756813929*$t);
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$Y0 += 0.00000000073*cos(3.00898976422 + 6809.4875142205*$t);
$Y0 += 0.00000000075*cos(6.23302655949 + 4106.1616736627*$t);
$Y0 += 0.00000000074*cos(4.08117422586 + 30376.10882168309*$t);
$Y0 += 0.00000000094*cos(5.88680065989 + 17809.95712170029*$t);
$Y0 += 0.00000000080*cos(2.13848140967 + 6151.8450160913*$t);
$Y0 += 0.00000000075*cos(0.09092377390 + 81604.56566890588*$t);
$Y0 += 0.00000000076*cos(0.01129674960 + 44534.85653529869*$t);
$Y0 += 0.00000000097*cos(5.85293706952 + 5749.61794906429*$t);
$Y0 += 0.00000000071*cos(3.99491883467 + 9384.59719059169*$t);
$Y0 += 0.00000000074*cos(4.00818928999 + 6603.7181268992*$t);
$Y0 += 0.00000000071*cos(3.77471202293 + 14061.9646725103*$t);
$Y0 += 0.00000000073*cos(3.77824643335 + 13635.3664816343*$t);
$Y0 += 0.00000000071*cos(4.21888578691 + 5622.1540509967*$t);
$Y0 += 0.00000000071*cos(4.30845955918 + 23539.8838935135*$t);
$Y0 += 0.00000000081*cos(1.38235650244 + 19573.6012745013*$t);
$Y0 += 0.00000000100*cos(3.67335445653 + 3399.7424711299*$t);
$Y0 += 0.00000000075*cos(3.40358526619 + 1214.55851213989*$t);
$Y0 += 0.00000000094*cos(3.33044734976 + 10816.84383806129*$t);
$Y0 += 0.00000000071*cos(4.38626132317 + 12140.8449579613*$t);
$Y0 += 0.00000000072*cos(1.37425478851 + 26887.6098672141*$t);
$Y0 += 0.00000000072*cos(0.56330972127 + 2010.8565189563*$t);
$Y0 += 0.00000000072*cos(1.19011347351 + 11560.32153356091*$t);
$Y0 += 0.00000000072*cos(5.48851072898 + 21957.4369102635*$t);
$Y0 += 0.00000000071*cos(4.41874779960 + 1619.7537522461*$t);
$Y0 += 0.00000000074*cos(1.68474352553 + 20205.89737884749*$t);
$Y0 += 0.00000000075*cos(2.70325711680 + 7477.27904273249*$t);
$Y0 += 0.00000000073*cos(0.64702279583 + 6493.54352312051*$t);
$Y0 += 0.00000000069*cos(3.54263618042 + 5784.06574185909*$t);
$Y0 += 0.00000000084*cos(1.01645431208 + 2118.5200428949*$t);
$Y0 += 0.00000000086*cos(3.03743422532 + 19404.0210913683*$t);
$Y0 += 0.00000000095*cos(2.31320113804 + 2104.7805838603*$t);
$Y0 += 0.00000000075*cos(2.77500192554 + 8748.9124369887*$t);
$Y0 += 0.00000000076*cos(4.33355808410 + 3268.8005108285*$t);
$Y0 += 0.00000000076*cos(1.79020883454 + 3412.9119775381*$t);
$Y0 += 0.00000000089*cos(1.64126071038 + 15643.43638582629*$t);
$Y0 += 0.00000000075*cos(1.25947909560 + 36106.1029037991*$t);
$Y0 += 0.00000000069*cos(2.65446892553 + 21272.8804910045*$t);
$Y0 += 0.00000000071*cos(0.24705889025 + 58857.2749540315*$t);
$Y0 += 0.00000000071*cos(4.66819102175 + 5298.0936890695*$t);
$Y0 += 0.00000000071*cos(4.66819102175 + 5298.5813240365*$t);
$Y0 += 0.00000000080*cos(2.54697779651 + 6151.71039548571*$t);
$Y0 += 0.00000000068*cos(3.06859270324 + 942.3058794525*$t);
$Y0 += 0.00000000089*cos(3.32880979752 + 30640.1004561165*$t);
$Y0 += 0.00000000068*cos(4.30719958123 + 11247.4527822533*$t);
$Y0 += 0.00000000068*cos(5.53923428830 + 8550.32807051931*$t);
$Y0 += 0.00000000078*cos(3.75474105015 + 422.9098550964*$t);
$Y0 += 0.00000000068*cos(4.94904122324 + 4665.3099497563*$t);
$Y0 += 0.00000000068*cos(4.94904122324 + 4665.7975847233*$t);
$Y0 += 0.00000000070*cos(5.89813960443 + 2332.3067732999*$t);
$Y0 += 0.00000000070*cos(0.02785351787 + 13105.18788157269*$t);
$Y0 += 0.00000000071*cos(5.54255167971 + 3309.86425943471*$t);
$Y0 += 0.00000000071*cos(0.58121523893 + 3371.8482289319*$t);
$Y0 += 0.00000000080*cos(3.39865381902 + 9705.6892279263*$t);
$Y0 += 0.00000000079*cos(4.40031750333 + 16065.82204399129*$t);
$Y0 += 0.00000000070*cos(0.92757117435 + 7843.94337529091*$t);
$Y0 += 0.00000000068*cos(3.54162039995 + 9175.9982628317*$t);
$Y0 += 0.00000000081*cos(2.34135520581 + 94329.53146871387*$t);
$Y0 += 0.00000000067*cos(4.00501817920 + 6112.6467968557*$t);
$Y0 += 0.00000000075*cos(0.08972367730 + 1585.38455950421*$t);
$Y0 += 0.00000000091*cos(1.20169391057 + 7768.2521571691*$t);
$Y0 += 0.00000000068*cos(5.88468412911 + 11663.4143077795*$t);
$Y0 += 0.00000000069*cos(1.03197307646 + 23554.1109875151*$t);
$Y0 += 0.00000000072*cos(5.59069878383 + 3267.2207809637*$t);
$Y0 += 0.00000000072*cos(0.53306813481 + 3414.4917074029*$t);
$Y0 += 0.00000000073*cos(2.34799922671 + 2693.84541086851*$t);
$Y0 += 0.00000000069*cos(5.96168258099 + 3494.7814777077*$t);
$Y0 += 0.00000000069*cos(0.16208433765 + 3186.93101065891*$t);
$Y0 += 0.00000000068*cos(2.22578139544 + 5202.1144618517*$t);
$Y0 += 0.00000000085*cos(1.07840622469 + 4157.5095703985*$t);
$Y0 += 0.00000000066*cos(0.70967474590 + 15636.32283882549*$t);
$Y0 += 0.00000000093*cos(5.17707127671 + 1826.07731249979*$t);
$Y0 += 0.00000000075*cos(0.69441189563 + 15276.21205686389*$t);
$Y0 += 0.00000000067*cos(4.16813989827 + 290.24166198609*$t);
$Y0 += 0.00000000073*cos(3.87941986980 + 3237.2758349977*$t);
$Y0 += 0.00000000066*cos(4.38025942738 + 10823.95738506209*$t);
$Y0 += 0.00000000066*cos(4.38025942738 + 10824.44502002911*$t);
$Y0 += 0.00000000066*cos(2.30801018010 + 16056.29511766771*$t);
$Y0 += 0.00000000066*cos(1.79189006879 + 226.07308589371*$t);
$Y0 += 0.00000000068*cos(5.14003771959 + 4897.4243911387*$t);
$Y0 += 0.00000000065*cos(2.25884185483 + 3324.09135343631*$t);
$Y0 += 0.00000000065*cos(3.86492506381 + 3357.6211349303*$t);
$Y0 += 0.00000000066*cos(3.63859878484 + 176.44991265029*$t);
$Y0 += 0.00000000069*cos(2.88792708089 + 1442.03464492889*$t);
$Y0 += 0.00000000065*cos(3.80463962799 + 12725.20961729149*$t);
$Y0 += 0.00000000071*cos(2.38407372949 + 11250.55557593809*$t);
$Y0 += 0.00000000066*cos(5.64622594457 + 415.7963080956*$t);
$Y0 += 0.00000000066*cos(2.06957972906 + 3738.93793728871*$t);
$Y0 += 0.00000000090*cos(0.09722302162 + 2885.946877656*$t);
$Y0 += 0.00000000090*cos(6.02654389702 + 3795.7656107106*$t);
$Y0 += 0.00000000067*cos(3.85822640732 + 13359.10309563091*$t);
$Y0 += 0.00000000069*cos(6.01059659703 + 4932.9646228491*$t);
$Y0 += 0.00000000067*cos(3.14807353187 + 20043.43074271529*$t);
$Y0 += 0.00000000067*cos(2.27076085895 + 19247.6203708659*$t);
$Y0 += 0.00000000064*cos(5.77820135380 + 8983.0544867925*$t);
$Y0 += 0.00000000081*cos(4.01879254835 + 5136.1146879043*$t);
$Y0 += 0.00000000076*cos(4.53170041047 + 6677.53651762*$t);
$Y0 += 0.00000000064*cos(5.04465453700 + 6564.1488026629*$t);
$Y0 += 0.00000000063*cos(3.67470240475 + 10294.2664199675*$t);
$Y0 += 0.00000000063*cos(3.67470240475 + 10294.7540549345*$t);
$Y0 += 0.00000000065*cos(0.85570190902 + 0.7365035847*$t);
$Y0 += 0.00000000067*cos(5.44254364972 + 4396.71505602351*$t);
$Y0 += 0.00000000070*cos(2.61333516815 + 5088.46362233621*$t);
$Y0 += 0.00000000070*cos(2.61333516815 + 5087.97598736919*$t);
$Y0 += 0.00000000066*cos(1.94886102839 + 3332.68810760091*$t);
$Y0 += 0.00000000066*cos(4.17490589025 + 3349.02438076571*$t);
$Y0 += 0.00000000069*cos(2.29302584578 + 24076.6884056089*$t);
$Y0 += 0.00000000063*cos(2.65217434480 + 15004.0267344793*$t);
$Y0 += 0.00000000066*cos(3.29840260562 + 3303.8606535723*$t);
$Y0 += 0.00000000066*cos(2.82536431302 + 3377.85183479431*$t);
$Y0 += 0.00000000062*cos(5.68281304505 + 423.3188900105*$t);
$Y0 += 0.00000000073*cos(6.20384290738 + 7250.29054491051*$t);
$Y0 += 0.00000000066*cos(4.05777388350 + 1083.01655045349*$t);
$Y0 += 0.00000000066*cos(1.66108334221 + 3739.0725578943*$t);
$Y0 += 0.00000000065*cos(2.38868691844 + 3454.58568375171*$t);
$Y0 += 0.00000000065*cos(3.73508000020 + 3227.1268046149*$t);
$Y0 += 0.00000000069*cos(1.02568627494 + 5885.1879177189*$t);
$Y0 += 0.00000000069*cos(4.18150566046 + 2384.56708821271*$t);
$Y0 += 0.00000000082*cos(2.24915344259 + 6573.8051469445*$t);
$Y0 += 0.00000000078*cos(3.71449046077 + 12979.79699205951*$t);
$Y0 += 0.00000000063*cos(0.30909856819 + 6298.0845036929*$t);
$Y0 += 0.00000000063*cos(5.86138984897 + 379.12959639069*$t);
$Y0 += 0.00000000078*cos(4.78158403700 + 17079.0716825527*$t);
$Y0 += 0.00000000063*cos(0.84589576108 + 4295.6101338159*$t);
$Y0 += 0.00000000072*cos(1.20473950633 + 7366.5127251091*$t);
$Y0 += 0.00000000064*cos(5.94145157304 + 21258.6533970029*$t);
$Y0 += 0.00000000061*cos(4.25199542760 + 3870.52995562571*$t);
$Y0 += 0.00000000069*cos(0.74102855275 + 6757.7347421587*$t);
$Y0 += 0.00000000061*cos(6.28276705909 + 3870.5644629301*$t);
$Y0 += 0.00000000061*cos(3.89740578515 + 8528.49979454989*$t);
$Y0 += 0.00000000072*cos(6.17734111246 + 3337.95522989351*$t);
$Y0 += 0.00000000072*cos(6.22961111336 + 3343.7572584731*$t);
$Y0 += 0.00000000081*cos(3.28865783131 + 17498.5563264279*$t);
$Y0 += 0.00000000080*cos(5.66181879898 + 68241.62832713968*$t);
$Y0 += 0.00000000070*cos(5.98008002738 + 5096.3279288624*$t);
$Y0 += 0.00000000070*cos(5.98008002738 + 5095.8402938954*$t);
$Y0 += 0.00000000062*cos(2.20286177266 + 629.0954035336*$t);
$Y0 += 0.00000000061*cos(5.80236333905 + 7056.74676748629*$t);
$Y0 += 0.00000000061*cos(3.69141943753 + 27035.49639498329*$t);
$Y0 += 0.00000000075*cos(0.87745006748 + 13531.78607244869*$t);
$Y0 += 0.00000000062*cos(2.97984792859 + 14591.16800263789*$t);
$Y0 += 0.00000000062*cos(2.97984792859 + 14591.6556376049*$t);
$Y0 += 0.00000000071*cos(4.62738217375 + 5622.01943039111*$t);
$Y0 += 0.00000000066*cos(2.27365299388 + 954.9977071161*$t);
$Y0 += 0.00000000068*cos(2.72448999946 + 3930.4535137031*$t);
$Y0 += 0.00000000066*cos(3.14619736362 + 2899.54332433869*$t);
$Y0 += 0.00000000061*cos(4.49549745154 + 2711.51702316619*$t);
$Y0 += 0.00000000063*cos(4.32081273594 + 2125.5662795929*$t);
$Y0 += 0.00000000073*cos(4.45773042596 + 6695.6957648847*$t);
$Y0 += 0.00000000069*cos(5.27809995063 + 5885.15341041451*$t);
$Y0 += 0.00000000060*cos(5.14170398436 + 41427.24316569529*$t);
$Y0 += 0.00000000080*cos(3.75731973309 + 4576.44426953929*$t);
$Y0 += 0.00000000080*cos(3.75731973309 + 4576.9319045063*$t);
$Y0 += 0.00000000059*cos(2.49398932309 + 9374.58262930109*$t);
$Y0 += 0.00000000074*cos(4.89168591212 + 3583.0972131903*$t);
$Y0 += 0.00000000082*cos(5.81793237346 + 2636.7354245989*$t);
$Y0 += 0.00000000058*cos(4.78357545202 + 720.89541372269*$t);
$Y0 += 0.00000000058*cos(1.64198279843 + 721.3830486897*$t);
$Y0 += 0.00000000059*cos(3.57410159337 + 14319.44721987369*$t);
$Y0 += 0.00000000065*cos(1.28381558772 + 48274.1056003737*$t);
$Y0 += 0.00000000058*cos(4.51103536629 + 110.9428248041*$t);
$Y0 += 0.00000000072*cos(1.68586060618 + 195.21520194411*$t);
$Y0 += 0.00000000059*cos(5.74510260782 + 13738.4592558529*$t);
$Y0 += 0.00000000063*cos(1.06605769138 + 9722.9547033137*$t);
$Y0 += 0.00000000080*cos(4.45970706755 + 3304.2076812538*$t);
$Y0 += 0.00000000080*cos(1.66405985109 + 3377.5048071128*$t);
$Y0 += 0.00000000058*cos(5.44450610447 + 16070.5222116693*$t);
$Y0 += 0.00000000070*cos(2.49253748917 + 11787.8477230005*$t);
$Y0 += 0.00000000062*cos(4.94992711761 + 4558.6940571887*$t);
$Y0 += 0.00000000076*cos(1.99891799021 + 1612.70751554809*$t);
$Y0 += 0.00000000071*cos(1.30058846825 + 6486.4972864225*$t);
$Y0 += 0.00000000062*cos(5.09763426823 + 437.8877086234*$t);
$Y0 += 0.00000000059*cos(4.90581628492 + 37057.33367508269*$t);
$Y0 += 0.00000000070*cos(2.79389929588 + 8116.1286976755*$t);
$Y0 += 0.00000000058*cos(6.09640127140 + 1969.4444807273*$t);
$Y0 += 0.00000000058*cos(0.02736564724 + 4712.26800763931*$t);
$Y0 += 0.00000000057*cos(4.37594257879 + 4565.7402938867*$t);
$Y0 += 0.00000000065*cos(1.66245825930 + 5526.1075134761*$t);
$Y0 += 0.00000000072*cos(0.18252327904 + 8948.4720733921*$t);
$Y0 += 0.00000000059*cos(2.44348231635 + 22854.8398392875*$t);
$Y0 += 0.00000000074*cos(2.02616573090 + 3192.28988479*$t);
$Y0 += 0.00000000074*cos(1.02342311752 + 3189.3209393734*$t);
$Y0 += 0.00000000074*cos(2.75351422654 + 5106.1352346339*$t);
$Y0 += 0.00000000060*cos(2.41681225251 + 3333.2775649737*$t);
$Y0 += 0.00000000060*cos(3.70695466613 + 3348.4349233929*$t);
$Y0 += 0.00000000057*cos(3.99795106682 + 1022.5327474015*$t);
$Y0 += 0.00000000062*cos(0.60417431770 + 792.53107098389*$t);
$Y0 += 0.00000000055*cos(4.34931243096 + 3355.5935265089*$t);
$Y0 += 0.00000000055*cos(1.77445448768 + 3326.11896185771*$t);
$Y0 += 0.00000000057*cos(5.12925283675 + 3973.1523485295*$t);
$Y0 += 0.00000000057*cos(1.32085031811 + 15842.9960222297*$t);
$Y0 += 0.00000000071*cos(6.21599374391 + 418.26050532349*$t);
$Y0 += 0.00000000061*cos(3.75995016598 + 223.1041404771*$t);
$Y0 += 0.00000000063*cos(4.40371062565 + 4137.1715046519*$t);
$Y0 += 0.00000000067*cos(5.00146180970 + 11240.4065455553*$t);
$Y0 += 0.00000000055*cos(5.08628762479 + 25665.7613008927*$t);
$Y0 += 0.00000000076*cos(4.50412584127 + 33716.72124838289*$t);
$Y0 += 0.00000000061*cos(0.88820799738 + 7630.64427985291*$t);
$Y0 += 0.00000000065*cos(5.53821276618 + 14267.66258598049*$t);
$Y0 += 0.00000000065*cos(5.53821276618 + 14268.1502209475*$t);
$Y0 += 0.00000000060*cos(5.95972666137 + 1368.4164353615*$t);
$Y0 += 0.00000000061*cos(3.06892273504 + 1118.9996095863*$t);
$Y0 += 0.00000000067*cos(4.29317097897 + 13366.2839529345*$t);
return $Y0;
}
function Mars_Y1($t) // 1023 terms of order 1
{
$Y1 = 0.01668487239*cos(2.59897259786 + 0.2438174835*$t);
$Y1 += 0.00551520815*cos(3.52285185770 + 6681.46867088311*$t);
$Y1 += 0.00077122404*cos(3.86148242536 + 10022.0810975829*$t);
$Y1 += 0.00033905789*cos(0.99877346654 + 3340.36860921629*$t);
$Y1 += 0.00013417687*cos(1.14386060325 + 3340.8562441833*$t);
$Y1 += 0.00009584524*cos(4.19977564590 + 13362.6935242827*$t);
$Y1 += 0.00002619567*cos(1.47212497791 + 3337.33312583431*$t);
$Y1 += 0.00002615345*cos(4.65188218049 + 3344.3793625323*$t);
$Y1 += 0.00001454057*cos(1.29298490269 + 6680.98103591609*$t);
$Y1 += 0.00001163163*cos(4.53798497815 + 16703.3059509825*$t);
$Y1 += 0.00000900588*cos(1.74364630959 + 1059.6257476727*$t);
$Y1 += 0.00000429589*cos(1.18548595402 + 2942.7072407751*$t);
$Y1 += 0.00000388556*cos(4.38001744017 + 5622.08674069391*$t);
$Y1 += 0.00000380679*cos(4.93305109350 + 3739.0052475915*$t);
$Y1 += 0.00000394611*cos(4.91194179182 + 6684.9917892321*$t);
$Y1 += 0.00000336947*cos(3.64146347925 + 3149.4079780717*$t);
$Y1 += 0.00000333888*cos(0.88735593348 + 3185.43584474911*$t);
$Y1 += 0.00000318443*cos(2.48094295107 + 3532.3045102949*$t);
$Y1 += 0.00000317603*cos(5.23738106920 + 3496.2766436175*$t);
$Y1 += 0.00000312062*cos(2.66000176108 + 2544.5582373669*$t);
$Y1 += 0.00000285965*cos(3.02967127901 + 796.5418242999*$t);
$Y1 += 0.00000259967*cos(3.45408083721 + 4137.1542509997*$t);
$Y1 += 0.00000205452*cos(1.63092401950 + 1194.6908277081*$t);
$Y1 += 0.00000140526*cos(4.87623075662 + 20043.9183776823*$t);
$Y1 += 0.00000159180*cos(2.00572713492 + 1589.3167127673*$t);
$Y1 += 0.00000133487*cos(3.06919175173 + 5885.1706640667*$t);
$Y1 += 0.00000132246*cos(2.12952118645 + 4400.2381743725*$t);
$Y1 += 0.00000126940*cos(1.24935817727 + 6677.9455525341*$t);
$Y1 += 0.00000102941*cos(4.48642964758 + 5487.0216606585*$t);
$Y1 += 0.00000128977*cos(0.22856181225 + 1592.8398311163*$t);
$Y1 += 0.00000101403*cos(3.97057397888 + 3339.8759231151*$t);
$Y1 += 0.00000101343*cos(2.15319078531 + 3341.83656525151*$t);
$Y1 += 0.00000089600*cos(4.30886056351 + 3870.54720927791*$t);
$Y1 += 0.00000084159*cos(5.10763376124 + 1990.9888345245*$t);
$Y1 += 0.00000093032*cos(1.57904935535 + 10021.5934626159*$t);
$Y1 += 0.00000079379*cos(2.34223792198 + 426.8420083595*$t);
$Y1 += 0.00000077187*cos(5.35374635180 + 7079.61767429131*$t);
$Y1 += 0.00000081451*cos(4.09472299340 + 5092.3957755993*$t);
$Y1 += 0.00000091218*cos(4.06344861425 + 2146.4092339587*$t);
$Y1 += 0.00000063951*cos(3.70258807947 + 2389.1378379327*$t);
$Y1 += 0.00000057311*cos(5.21513953164 + 10025.6042159319*$t);
$Y1 += 0.00000056935*cos(0.36046078739 + 3098.1276402093*$t);
$Y1 += 0.00000075514*cos(2.03966755509 + 4535.3032544079*$t);
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$Y1 += 0.00000000093*cos(1.79949400982 + 10050.5302850507*$t);
$Y1 += 0.00000000074*cos(0.39743697458 + 12725.20961729149*$t);
$Y1 += 0.00000000069*cos(4.46900086396 + 1280.0383901115*$t);
$Y1 += 0.00000000090*cos(1.32575986288 + 10713.75106384269*$t);
$Y1 += 0.00000000082*cos(0.69210206943 + 5401.18646328809*$t);
$Y1 += 0.00000000072*cos(1.34421235248 + 18451.3223640495*$t);
$Y1 += 0.00000000077*cos(5.18506287875 + 5466.7336515625*$t);
$Y1 += 0.00000000079*cos(0.03494157481 + 3351.9019444472*$t);
$Y1 += 0.00000000079*cos(6.08882534383 + 3329.8105439194*$t);
$Y1 += 0.00000000077*cos(3.36821374117 + 15636.8104737925*$t);
$Y1 += 0.00000000070*cos(4.18852998473 + 2011.3441539233*$t);
$Y1 += 0.00000000068*cos(2.20697305416 + 9381.2034902007*$t);
$Y1 += 0.00000000074*cos(2.64935507870 + 25136.0703357981*$t);
$Y1 += 0.00000000068*cos(1.80816186710 + 6489.53276980449*$t);
$Y1 += 0.00000000078*cos(3.45047388274 + 3583.0972131903*$t);
$Y1 += 0.00000000069*cos(3.47802563975 + 11354.1359851237*$t);
$Y1 += 0.00000000070*cos(5.41206396259 + 25287.47998191629*$t);
$Y1 += 0.00000000070*cos(5.52776045508 + 35707.4662654239*$t);
$Y1 += 0.00000000088*cos(1.52868546432 + 3068.1832868317*$t);
$Y1 += 0.00000000088*cos(4.59502570300 + 3613.52920153491*$t);
$Y1 += 0.00000000065*cos(1.82205105922 + 15121.3466026995*$t);
$Y1 += 0.00000000077*cos(2.56929587888 + 14127.99895376209*$t);
$Y1 += 0.00000000069*cos(0.02357643792 + 43739.0461634493*$t);
$Y1 += 0.00000000066*cos(5.74550598907 + 5195.48854981791*$t);
$Y1 += 0.00000000066*cos(5.74550598907 + 5195.0009148509*$t);
$Y1 += 0.00000000065*cos(5.47583793528 + 6708.8702269799*$t);
$Y1 += 0.00000000071*cos(0.41816629111 + 10176.94655174729*$t);
$Y1 += 0.00000000090*cos(3.58467854106 + 6740.84253279671*$t);
$Y1 += 0.00000000065*cos(4.81907662858 + 4140.6773693487*$t);
$Y1 += 0.00000000064*cos(2.78231915414 + 9801.6684551441*$t);
$Y1 += 0.00000000085*cos(1.40895818486 + 43340.8971600411*$t);
$Y1 += 0.00000000087*cos(3.48209962852 + 9859.6144614507*$t);
$Y1 += 0.00000000074*cos(5.03444697014 + 10596.4258959177*$t);
$Y1 += 0.00000000065*cos(5.65188017283 + 6681.0485947895*$t);
$Y1 += 0.00000000071*cos(4.85107944455 + 4143.2201666295*$t);
$Y1 += 0.00000000066*cos(0.32887989990 + 3267.2552882681*$t);
$Y1 += 0.00000000066*cos(5.79488701874 + 3414.4572000985*$t);
$Y1 += 0.00000000063*cos(2.79450851807 + 6467.68194047809*$t);
$Y1 += 0.00000000064*cos(0.70758466822 + 3487.66793070691*$t);
$Y1 += 0.00000000064*cos(5.41618225042 + 3194.0445576597*$t);
$Y1 += 0.00000000085*cos(6.17825225561 + 10720.8646108435*$t);
$Y1 += 0.00000000062*cos(3.01771087976 + 35.7840491939*$t);
$Y1 += 0.00000000062*cos(6.15930353335 + 36.27168416091*$t);
$Y1 += 0.00000000064*cos(2.07206554388 + 11773.13299403189*$t);
$Y1 += 0.00000000064*cos(4.96743808710 + 41747.81351144129*$t);
$Y1 += 0.00000000068*cos(3.28488221728 + 12809.12412144031*$t);
$Y1 += 0.00000000062*cos(1.67633734169 + 18461.9590293993*$t);
$Y1 += 0.00000000068*cos(0.42906740811 + 6614.9812619687*$t);
$Y1 += 0.00000000079*cos(2.06833189434 + 11236.8161169035*$t);
$Y1 += 0.00000000066*cos(4.71978579468 + 9998.20265983511*$t);
$Y1 += 0.00000000064*cos(5.14611248392 + 11526.88127170889*$t);
$Y1 += 0.00000000070*cos(0.34840349768 + 16858.6590401139*$t);
$Y1 += 0.00000000065*cos(3.82789901811 + 20597.0001455577*$t);
$Y1 += 0.00000000064*cos(4.43540244948 + 40796.5827401577*$t);
$Y1 += 0.00000000079*cos(4.81144487223 + 10730.58326489249*$t);
$Y1 += 0.00000000062*cos(0.61927789332 + 20040.3952593333*$t);
$Y1 += 0.00000000066*cos(6.18584312904 + 8428.9974489831*$t);
$Y1 += 0.00000000079*cos(5.86016787523 + 40398.4337367495*$t);
$Y1 += 0.00000000059*cos(0.23825712673 + 44959.3038585067*$t);
$Y1 += 0.00000000063*cos(0.00069466290 + 20743.1895259099*$t);
$Y1 += 0.00000000060*cos(4.02422394326 + 10016.5581732755*$t);
$Y1 += 0.00000000059*cos(3.94228594452 + 13745.10242153889*$t);
$Y1 += 0.00000000067*cos(3.09157172324 + 9329.9234963561*$t);
$Y1 += 0.00000000078*cos(1.63178356452 + 24606.3793707035*$t);
$Y1 += 0.00000000080*cos(3.21443220409 + 5202.6020968187*$t);
$Y1 += 0.00000000057*cos(4.86026303770 + 12928.98178640591*$t);
$Y1 += 0.00000000080*cos(1.00062919899 + 27417.3008323087*$t);
$Y1 += 0.00000000077*cos(4.25649384915 + 4845.6564183093*$t);
$Y1 += 0.00000000062*cos(2.85482467160 + 12987.86801335249*$t);
$Y1 += 0.00000000057*cos(4.88274674366 + 5820.6711071633*$t);
$Y1 += 0.00000000057*cos(0.00003539968 + 25841.04938475869*$t);
$Y1 += 0.00000000059*cos(0.42155176888 + 5945.5921573513*$t);
$Y1 += 0.00000000061*cos(0.64683968145 + 3264.59017290771*$t);
$Y1 += 0.00000000058*cos(4.86677635959 + 15423.5113783545*$t);
$Y1 += 0.00000000074*cos(3.19195801116 + 9623.4444592077*$t);
$Y1 += 0.00000000062*cos(4.72968550328 + 3324.02404313351*$t);
$Y1 += 0.00000000062*cos(1.39408141536 + 3357.6884452331*$t);
$Y1 += 0.00000000060*cos(4.79015337969 + 9225.29545579949*$t);
$Y1 += 0.00000000061*cos(5.58622273047 + 5223.93773728571*$t);
$Y1 += 0.00000000056*cos(4.51159263204 + 3702.9773809141*$t);
$Y1 += 0.00000000056*cos(1.61217428660 + 2978.7351074525*$t);
$Y1 += 0.00000000055*cos(3.98689536822 + 12715.68269096791*$t);
$Y1 += 0.00000000058*cos(1.49398235066 + 14584.05445563709*$t);
$Y1 += 0.00000000075*cos(1.46856818276 + 4776.0039059427*$t);
$Y1 += 0.00000000054*cos(4.63507585798 + 45885.2115799245*$t);
$Y1 += 0.00000000055*cos(4.91506650009 + 2126.05391455991*$t);
$Y1 += 0.00000000054*cos(0.92181027242 + 9381.69617630189*$t);
$Y1 += 0.00000000054*cos(2.71877294650 + 5607.3720117253*$t);
$Y1 += 0.00000000053*cos(3.09693738935 + 6789.1321948217*$t);
$Y1 += 0.00000000058*cos(5.89934208420 + 3268.8005108285*$t);
$Y1 += 0.00000000058*cos(0.22442483444 + 3412.9119775381*$t);
$Y1 += 0.00000000053*cos(0.16426574878 + 12509.00950756369*$t);
$Y1 += 0.00000000053*cos(0.16426574878 + 12509.4971425307*$t);
$Y1 += 0.00000000073*cos(5.56901413325 + 14867.49369840869*$t);
$Y1 += 0.00000000053*cos(2.19783708455 + 14481.4493163855*$t);
$Y1 += 0.00000000054*cos(1.94626267929 + 24491.18197509989*$t);
$Y1 += 0.00000000052*cos(3.15010220845 + 6813.0106325695*$t);
$Y1 += 0.00000000054*cos(4.66674950044 + 8186.2688450091*$t);
$Y1 += 0.00000000054*cos(1.57540808090 + 21150.56954840009*$t);
$Y1 += 0.00000000054*cos(1.30773052880 + 8226.8226538619*$t);
$Y1 += 0.00000000054*cos(5.80728044581 + 18849.4713674577*$t);
$Y1 += 0.00000000068*cos(5.38162441083 + 20213.4985608153*$t);
$Y1 += 0.00000000062*cos(5.91673914049 + 9175.9982628317*$t);
$Y1 += 0.00000000068*cos(5.53849729729 + 2391.6806352135*$t);
$Y1 += 0.00000000055*cos(5.68275033208 + 23539.46356884929*$t);
$Y1 += 0.00000000072*cos(5.07506580904 + 3342.34071689161*$t);
$Y1 += 0.00000000072*cos(1.04870110960 + 3339.371771475*$t);
$Y1 += 0.00000000055*cos(3.59989833025 + 6843.4476720483*$t);
$Y1 += 0.00000000060*cos(2.16467756824 + 4885.72259219509*$t);
$Y1 += 0.00000000052*cos(2.30863563499 + 7799.73682801889*$t);
$Y1 += 0.00000000063*cos(1.59644930072 + 21265.7669440037*$t);
$Y1 += 0.00000000069*cos(0.54846716464 + 24889.33097850809*$t);
$Y1 += 0.00000000051*cos(2.96626339056 + 37895.6701078509*$t);
$Y1 += 0.00000000052*cos(5.38935505875 + 45088.42593814109*$t);
$Y1 += 0.00000000051*cos(4.59657000491 + 12410.9751180321*$t);
$Y1 += 0.00000000068*cos(0.08247779224 + 1854.38848815109*$t);
$Y1 += 0.00000000054*cos(2.06267581529 + 2736.0065034785*$t);
$Y1 += 0.00000000052*cos(2.02950191708 + 16328.48044005229*$t);
$Y1 += 0.00000000051*cos(1.14816705620 + 16063.4086646685*$t);
$Y1 += 0.00000000061*cos(2.80673408688 + 2655.74487965451*$t);
$Y1 += 0.00000000056*cos(1.41031366215 + 8439.6341143329*$t);
$Y1 += 0.00000000050*cos(0.09559043051 + 1727.90491115171*$t);
$Y1 += 0.00000000054*cos(2.84157218677 + 5408.78764525591*$t);
$Y1 += 0.00000000059*cos(4.25728059212 + 12516.6106895315*$t);
$Y1 += 0.00000000052*cos(4.01903754148 + 4356.03162710049*$t);
$Y1 += 0.00000000050*cos(4.41829954403 + 3116.5114484814*$t);
$Y1 += 0.00000000050*cos(1.70549407364 + 3565.2010398852*$t);
$Y1 += 0.00000000049*cos(1.47402562828 + 55516.6625273317*$t);
$Y1 += 0.00000000050*cos(2.19394619075 + 3742.5283659405*$t);
$Y1 += 0.00000000048*cos(3.12444029552 + 1882.83767561889*$t);
$Y1 += 0.00000000054*cos(6.04907092105 + 20426.8149099055*$t);
$Y1 += 0.00000000048*cos(6.10216369462 + 16865.28495214769*$t);
$Y1 += 0.00000000061*cos(2.37337374250 + 19617.3201868063*$t);
$Y1 += 0.00000000048*cos(6.23602609768 + 19190.7219959303*$t);
$Y1 += 0.00000000048*cos(6.14914151023 + 24341.28449997309*$t);
$Y1 += 0.00000000056*cos(2.19344974157 + 10787.3865270623*$t);
$Y1 += 0.00000000048*cos(6.18351837234 + 44768.3432273621*$t);
$Y1 += 0.00000000047*cos(6.09189138220 + 13517.55897844709*$t);
$Y1 += 0.00000000051*cos(3.13613774695 + 5750.1055840313*$t);
$Y1 += 0.00000000053*cos(1.88416936813 + 1971.70835637129*$t);
$Y1 += 0.00000000047*cos(5.48212564317 + 11876.7134032175*$t);
$Y1 += 0.00000000047*cos(4.23460507904 + 2257.59587624631*$t);
$Y1 += 0.00000000053*cos(2.37415739297 + 20043.43074271529*$t);
$Y1 += 0.00000000050*cos(3.70055414539 + 32765.00284213229*$t);
$Y1 += 0.00000000047*cos(4.84924552555 + 39048.5663270907*$t);
$Y1 += 0.00000000048*cos(1.43634945815 + 135.30889751891*$t);
$Y1 += 0.00000000064*cos(1.47620421839 + 1329.75590774351*$t);
$Y1 += 0.00000000051*cos(3.87515145598 + 2693.84541086851*$t);
$Y1 += 0.00000000055*cos(4.42106984861 + 5834.8982011649*$t);
$Y1 += 0.00000000046*cos(4.98957166191 + 1795.5022612045*$t);
$Y1 += 0.00000000055*cos(2.47584695868 + 4403.76129272151*$t);
$Y1 += 0.00000000048*cos(5.05121150955 + 14955.2895379155*$t);
$Y1 += 0.00000000059*cos(0.56447699816 + 4290.0318531531*$t);
$Y1 += 0.00000000047*cos(3.19086921862 + 35464.73766144989*$t);
$Y1 += 0.00000000047*cos(3.19086921862 + 35465.2252964169*$t);
$Y1 += 0.00000000045*cos(4.94702991651 + 5835.38583613191*$t);
$Y1 += 0.00000000052*cos(5.41422776986 + 17660.05964657349*$t);
$Y1 += 0.00000000048*cos(5.64285531978 + 1859.44687283811*$t);
$Y1 += 0.00000000056*cos(5.43434992198 + 532.9702659601*$t);
$Y1 += 0.00000000052*cos(5.51821932984 + 3718.2298520991*$t);
$Y1 += 0.00000000052*cos(0.60554758880 + 2963.4826362675*$t);
$Y1 += 0.00000000045*cos(1.65750320067 + 22487.12787535809*$t);
$Y1 += 0.00000000061*cos(3.03243825296 + 7380.7398191107*$t);
$Y1 += 0.00000000045*cos(1.23507902380 + 38252.2683202743*$t);
$Y1 += 0.00000000045*cos(4.90245609377 + 8741.79888998789*$t);
$Y1 += 0.00000000054*cos(5.75594735581 + 1056.1026293237*$t);
$Y1 += 0.00000000045*cos(0.78221109473 + 5511.8804194745*$t);
$Y1 += 0.00000000045*cos(3.65721451906 + 664.99986261351*$t);
$Y1 += 0.00000000045*cos(3.65721451906 + 664.51222764649*$t);
$Y1 += 0.00000000045*cos(1.58220885506 + 3973.6399834965*$t);
$Y1 += 0.00000000044*cos(1.64971708603 + 5401.6740982551*$t);
$Y1 += 0.00000000054*cos(3.22681077430 + 931.1192693683*$t);
$Y1 += 0.00000000046*cos(4.82251193103 + 5881.6475457177*$t);
$Y1 += 0.00000000050*cos(0.95411798734 + 1744.66980189871*$t);
$Y1 += 0.00000000044*cos(1.88527980304 + 3244.8770169655*$t);
$Y1 += 0.00000000044*cos(4.23848711560 + 3436.8354714011*$t);
$Y1 += 0.00000000045*cos(3.09915237980 + 1265.81129610991*$t);
$Y1 += 0.00000000044*cos(4.49759555733 + 17499.6039577989*$t);
$Y1 += 0.00000000043*cos(1.18409883166 + 97670.14389541368*$t);
$Y1 += 0.00000000057*cos(3.23899428569 + 46283.3605833327*$t);
$Y1 += 0.00000000044*cos(0.27827134364 + 10191.17364574889*$t);
$Y1 += 0.00000000043*cos(1.30628712649 + 33163.6394805075*$t);
$Y1 += 0.00000000047*cos(2.27882129437 + 17256.8753538249*$t);
$Y1 += 0.00000000044*cos(4.60162306872 + 2708.07250487011*$t);
$Y1 += 0.00000000059*cos(3.55006619333 + 2524.20291796811*$t);
$Y1 += 0.00000000053*cos(5.27405250378 + 8337.0289750813*$t);
$Y1 += 0.00000000053*cos(2.75147057919 + 14054.8511255095*$t);
$Y1 += 0.00000000043*cos(3.74257202617 + 12200.2188198749*$t);
$Y1 += 0.00000000046*cos(4.35317089818 + 1648.69057468091*$t);
$Y1 += 0.00000000042*cos(4.31895676455 + 845.8390172677*$t);
$Y1 += 0.00000000043*cos(3.06719963334 + 41194.7317435659*$t);
$Y1 += 0.00000000047*cos(5.75600675804 + 13531.78607244869*$t);
$Y1 += 0.00000000047*cos(5.82756499631 + 15850.1095692305*$t);
$Y1 += 0.00000000042*cos(4.34141462634 + 12729.9097849695*$t);
$Y1 += 0.00000000043*cos(1.95297083066 + 15107.1195086979*$t);
$Y1 += 0.00000000043*cos(0.33759865283 + 8123.7298796433*$t);
$Y1 += 0.00000000046*cos(0.42686371231 + 2325.1932262991*$t);
$Y1 += 0.00000000043*cos(0.62743288585 + 14469.34469500049*$t);
$Y1 += 0.00000000043*cos(1.18510374809 + 2854.8841913937*$t);
$Y1 += 0.00000000043*cos(4.93866317055 + 3826.82829697291*$t);
$Y1 += 0.00000000041*cos(2.91455733252 + 42544.5991532247*$t);
$Y1 += 0.00000000042*cos(5.52285099034 + 2652.2217613055*$t);
$Y1 += 0.00000000042*cos(0.04613741618 + 38086.6307389955*$t);
$Y1 += 0.00000000045*cos(0.35782418393 + 3361.1440047087*$t);
$Y1 += 0.00000000043*cos(0.97696624636 + 28229.94340520789*$t);
$Y1 += 0.00000000048*cos(0.38343131297 + 12825.8890121873*$t);
$Y1 += 0.00000000052*cos(4.39773367298 + 6667.2415768815*$t);
$Y1 += 0.00000000041*cos(0.69151426786 + 3296.20241094311*$t);
$Y1 += 0.00000000041*cos(5.43225265078 + 3385.5100774235*$t);
$Y1 += 0.00000000043*cos(1.84753611816 + 46681.5095867409*$t);
$Y1 += 0.00000000040*cos(3.38564855874 + 6851.04885401611*$t);
$Y1 += 0.00000000040*cos(0.97077467865 + 8983.0544867925*$t);
$Y1 += 0.00000000043*cos(0.96789677579 + 20205.89737884749*$t);
$Y1 += 0.00000000040*cos(0.36743358073 + 20728.9624319083*$t);
$Y1 += 0.00000000044*cos(5.64770312853 + 29698.5313288193*$t);
$Y1 += 0.00000000041*cos(1.94195643070 + 4670.36833444331*$t);
$Y1 += 0.00000000052*cos(2.83255526859 + 3299.3054531985*$t);
$Y1 += 0.00000000052*cos(3.29121165005 + 3382.4070351681*$t);
$Y1 += 0.00000000041*cos(0.22123606904 + 48827.6750032161*$t);
$Y1 += 0.00000000046*cos(2.01006330908 + 19247.6203708659*$t);
$Y1 += 0.00000000054*cos(4.52613106738 + 3319.59321372389*$t);
$Y1 += 0.00000000039*cos(2.09902832820 + 743.23387801611*$t);
$Y1 += 0.00000000039*cos(5.30952786068 + 26357.43126715249*$t);
$Y1 += 0.00000000039*cos(5.30952786068 + 26357.9189021195*$t);
$Y1 += 0.00000000049*cos(3.31851905687 + 4025.9676087121*$t);
$Y1 += 0.00000000054*cos(0.83545544152 + 574.5886158183*$t);
$Y1 += 0.00000000052*cos(0.78436364849 + 1461.29786942991*$t);
$Y1 += 0.00000000041*cos(6.03198869566 + 45487.0625765163*$t);
$Y1 += 0.00000000051*cos(0.35100574128 + 102.84895673509*$t);
$Y1 += 0.00000000045*cos(0.25913855607 + 2715.1860518709*$t);
$Y1 += 0.00000000045*cos(5.86462836257 + 3966.52643649571*$t);
return $Y1*$t;
}
function Mars_Y2($t) // 511 terms of order 2
{
$Y2 = 0.00068999338*cos(3.98646823714 + 0.2438174835*$t);
$Y2 += 0.00082190105*cos(6.20347735626 + 3340.8562441833*$t);
$Y2 += 0.00021826465*cos(1.79418551007 + 6681.46867088311*$t);
$Y2 += 0.00006036287*cos(2.31685926546 + 10022.0810975829*$t);
$Y2 += 0.00001291999*cos(5.44987502837 + 3340.36860921629*$t);
$Y2 += 0.00001125170*cos(2.69734348224 + 13362.6935242827*$t);
$Y2 += 0.00000182064*cos(3.05304276213 + 16703.3059509825*$t);
$Y2 += 0.00000172815*cos(2.94873550203 + 3337.33312583431*$t);
$Y2 += 0.00000164573*cos(3.04867001053 + 3344.3793625323*$t);
$Y2 += 0.00000128077*cos(6.01351315277 + 6680.98103591609*$t);
$Y2 += 0.00000093944*cos(5.65705056742 + 3185.43584474911*$t);
$Y2 += 0.00000089463*cos(0.46100253521 + 3496.2766436175*$t);
$Y2 += 0.00000040244*cos(3.43638132202 + 6684.9917892321*$t);
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$Y2 += 0.00000000018*cos(0.65953210534 + 18451.3223640495*$t);
$Y2 += 0.00000000015*cos(4.39931221730 + 23546.9974405143*$t);
$Y2 += 0.00000000020*cos(1.62468835541 + 33319.0598799417*$t);
$Y2 += 0.00000000015*cos(0.99941976160 + 17277.6507493173*$t);
$Y2 += 0.00000000020*cos(1.01851229845 + 20043.43074271529*$t);
return $Y2*$t*$t;
}
function Mars_Y3($t) // 192 terms of order 3
{
$Y3 = 0.00001905181*cos(5.26332442482 + 0.2438174835*$t);
$Y3 += 0.00000638154*cos(6.15054891881 + 6681.46867088311*$t);
$Y3 += 0.00000315844*cos(0.68812770928 + 10022.0810975829*$t);
$Y3 += 0.00000167935*cos(4.34052829824 + 3340.36860921629*$t);
$Y3 += 0.00000088045*cos(1.14611813288 + 13362.6935242827*$t);
$Y3 += 0.00000034296*cos(6.12954233244 + 3340.8562441833*$t);
$Y3 += 0.00000019004*cos(1.53394982779 + 16703.3059509825*$t);
$Y3 += 0.00000017309*cos(1.96405922769 + 3496.2766436175*$t);
$Y3 += 0.00000017052*cos(4.14009092313 + 3185.43584474911*$t);
$Y3 += 0.00000012081*cos(4.55895834821 + 6680.98103591609*$t);
$Y3 += 0.00000008036*cos(4.44721122484 + 3337.33312583431*$t);
$Y3 += 0.00000008075*cos(1.32135542935 + 3344.3793625323*$t);
$Y3 += 0.00000003586*cos(1.89896476323 + 20043.9183776823*$t);
$Y3 += 0.00000003728*cos(2.73731234443 + 3583.5848481573*$t);
$Y3 += 0.00000003708*cos(3.37008572755 + 3098.1276402093*$t);
$Y3 += 0.00000002838*cos(1.86335942445 + 6684.9917892321*$t);
$Y3 += 0.00000002391*cos(4.50157894761 + 6526.04827144891*$t);
$Y3 += 0.00000002389*cos(0.55881206863 + 3894.4256470257*$t);
$Y3 += 0.00000002358*cos(5.53634186088 + 2787.2868413409*$t);
$Y3 += 0.00000002166*cos(5.72850515937 + 155.17658195069*$t);
$Y3 += 0.00000001411*cos(4.89547894086 + 10021.5934626159*$t);
$Y3 += 0.00000001300*cos(5.43963179189 + 4292.5746504339*$t);
$Y3 += 0.00000001268*cos(0.63826775689 + 2389.1378379327*$t);
$Y3 += 0.00000001168*cos(0.32787695602 + 3149.4079780717*$t);
$Y3 += 0.00000001170*cos(5.49045547620 + 3532.3045102949*$t);
$Y3 += 0.00000001149*cos(0.25632426200 + 4137.1542509997*$t);
$Y3 += 0.00000001000*cos(0.78268074251 + 3339.8759231151*$t);
$Y3 += 0.00000001053*cos(5.58094872648 + 2544.5582373669*$t);
$Y3 += 0.00000000909*cos(4.03516115356 + 4690.7236538421*$t);
$Y3 += 0.00000000997*cos(5.22732432514 + 3341.83656525151*$t);
$Y3 += 0.00000000874*cos(2.00558552866 + 1990.9888345245*$t);
$Y3 += 0.00000000773*cos(2.25965967719 + 10025.6042159319*$t);
$Y3 += 0.00000000800*cos(1.65801132134 + 3723.7527764065*$t);
$Y3 += 0.00000000785*cos(4.39719518884 + 2957.9597119601*$t);
$Y3 += 0.00000000624*cos(2.25363881101 + 23384.5308043821*$t);
$Y3 += 0.00000000586*cos(3.96432388242 + 1059.6257476727*$t);
$Y3 += 0.00000000721*cos(5.21679562282 + 4535.3032544079*$t);
$Y3 += 0.00000000636*cos(2.60828365653 + 5088.8726572503*$t);
$Y3 += 0.00000000615*cos(0.76601087488 + 2146.4092339587*$t);
$Y3 += 0.00000000474*cos(3.79995013670 + 2942.7072407751*$t);
$Y3 += 0.00000000604*cos(3.34001877693 + 1592.8398311163*$t);
$Y3 += 0.00000000450*cos(0.32237574079 + 3333.7426971825*$t);
$Y3 += 0.00000000486*cos(1.35165895173 + 3739.0052475915*$t);
$Y3 += 0.00000000417*cos(5.75416173350 + 3347.96979118411*$t);
$Y3 += 0.00000000400*cos(5.17092240158 + 4400.2381743725*$t);
$Y3 += 0.00000000374*cos(1.81231274497 + 6836.8890703173*$t);
$Y3 += 0.00000000488*cos(3.09412842261 + 6924.1972748571*$t);
$Y3 += 0.00000000399*cos(0.86698142534 + 6490.0204047715*$t);
$Y3 += 0.00000000356*cos(5.90189075488 + 6127.8992680407*$t);
$Y3 += 0.00000000362*cos(0.57575435741 + 5622.08674069391*$t);
$Y3 += 0.00000000295*cos(2.11031657729 + 7079.61767429131*$t);
$Y3 += 0.00000000356*cos(4.85741827730 + 9866.66069814871*$t);
$Y3 += 0.00000000340*cos(0.71669809587 + 7477.7666776995*$t);
$Y3 += 0.00000000239*cos(3.60818728854 + 6438.7400669091*$t);
$Y3 += 0.00000000214*cos(5.66889246190 + 6682.44899195131*$t);
$Y3 += 0.00000000184*cos(5.24213240799 + 13362.2058893157*$t);
$Y3 += 0.00000000176*cos(2.39234978630 + 5331.6012612243*$t);
$Y3 += 0.00000000215*cos(1.01330961394 + 5729.7502646325*$t);
$Y3 += 0.00000000159*cos(3.74822824989 + 4933.4522578161*$t);
$Y3 += 0.00000000148*cos(4.78372101689 + 6298.57213865991*$t);
$Y3 += 0.00000000154*cos(4.07120648646 + 6677.9455525341*$t);
$Y3 += 0.00000000153*cos(5.60790410015 + 7875.91568110771*$t);
$Y3 += 0.00000000157*cos(4.45933297186 + 796.5418242999*$t);
$Y3 += 0.00000000172*cos(2.61819596070 + 13366.21664263171*$t);
$Y3 += 0.00000000143*cos(0.82498614720 + 7235.0380737255*$t);
$Y3 += 0.00000000155*cos(5.68177791947 + 7740.8506010723*$t);
$Y3 += 0.00000000116*cos(3.07839128709 + 1194.6908277081*$t);
$Y3 += 0.00000000106*cos(1.43807829522 + 155.6642169177*$t);
$Y3 += 0.00000000089*cos(5.59709996368 + 3343.8917275653*$t);
$Y3 += 0.00000000100*cos(1.30610304994 + 9830.6328314713*$t);
$Y3 += 0.00000000108*cos(2.60638791189 + 10420.23010099111*$t);
$Y3 += 0.00000000084*cos(1.11366948198 + 10818.3791043993*$t);
$Y3 += 0.00000000098*cos(2.60446363513 + 26725.1432310819*$t);
$Y3 += 0.00000000076*cos(5.59159654622 + 4929.92913946711*$t);
$Y3 += 0.00000000074*cos(5.71538520874 + 7633.1870771337*$t);
$Y3 += 0.00000000086*cos(3.58543209453 + 1589.3167127673*$t);
$Y3 += 0.00000000072*cos(4.63326318414 + 5885.1706640667*$t);
$Y3 += 0.00000000062*cos(0.11881168827 + 5487.0216606585*$t);
$Y3 += 0.00000000065*cos(3.44980702826 + 10264.80970155691*$t);
$Y3 += 0.00000000062*cos(1.52309575501 + 7211.1596359777*$t);
$Y3 += 0.00000000082*cos(6.15563051504 + 6688.5822178839*$t);
$Y3 += 0.00000000057*cos(3.09476278894 + 12833.00255918811*$t);
$Y3 += 0.00000000057*cos(6.25611563425 + 9468.51169474051*$t);
$Y3 += 0.00000000056*cos(3.56059573252 + 6681.45141723091*$t);
$Y3 += 0.00000000056*cos(5.59136715053 + 6681.4859245353*$t);
$Y3 += 0.00000000069*cos(4.15252094724 + 796.0541893329*$t);
$Y3 += 0.00000000065*cos(0.34610968118 + 3870.54720927791*$t);
$Y3 += 0.00000000067*cos(2.17750046913 + 9492.3901324883*$t);
$Y3 += 0.00000000051*cos(4.21953229457 + 8274.0646845159*$t);
$Y3 += 0.00000000048*cos(5.45844802909 + 397.9051859247*$t);
$Y3 += 0.00000000050*cos(5.21362719324 + 13207.27312484851*$t);
$Y3 += 0.00000000043*cos(3.92075403663 + 426.8420083595*$t);
$Y3 += 0.00000000044*cos(4.30828712757 + 8031.3360805419*$t);
$Y3 += 0.00000000039*cos(2.78024704625 + 1194.2031927411*$t);
$Y3 += 0.00000000043*cos(6.06948054666 + 10023.06141865111*$t);
$Y3 += 0.00000000044*cos(5.65948692732 + 5092.3957755993*$t);
$Y3 += 0.00000000037*cos(4.89772055096 + 8827.6340873583*$t);
$Y3 += 0.00000000042*cos(0.13693241822 + 10022.0983512351*$t);
$Y3 += 0.00000000043*cos(1.88027614352 + 3184.9482097821*$t);
$Y3 += 0.00000000033*cos(3.97855919031 + 1349.62359217529*$t);
$Y3 += 0.00000000035*cos(1.38364575820 + 9070.3626913323*$t);
$Y3 += 0.00000000036*cos(6.07274445742 + 11081.46302777211*$t);
$Y3 += 0.00000000044*cos(4.83413643654 + 12303.3115940935*$t);
$Y3 += 0.00000000033*cos(5.60078768464 + 15643.9240207933*$t);
$Y3 += 0.00000000042*cos(4.38948412695 + 10022.06384393071*$t);
$Y3 += 0.00000000032*cos(4.09360307102 + 10018.5579792339*$t);
$Y3 += 0.00000000029*cos(3.12031392752 + 3495.78900865049*$t);
$Y3 += 0.00000000032*cos(0.83223666105 + 6680.4883498149*$t);
$Y3 += 0.00000000031*cos(0.33659543405 + 7.3573644843*$t);
$Y3 += 0.00000000036*cos(1.89292951517 + 7064.3652031063*$t);
$Y3 += 0.00000000026*cos(5.98285354447 + 11216.5281078075*$t);
$Y3 += 0.00000000035*cos(6.27114625059 + 3336.8454908673*$t);
$Y3 += 0.00000000025*cos(1.46525178422 + 10575.6505004253*$t);
$Y3 += 0.00000000033*cos(2.79365879085 + 8672.21368792411*$t);
$Y3 += 0.00000000026*cos(1.28604268140 + 1592.3521961493*$t);
$Y3 += 0.00000000027*cos(5.55280390266 + 16702.81831601549*$t);
$Y3 += 0.00000000025*cos(3.00868456049 + 13760.8425276909*$t);
$Y3 += 0.00000000027*cos(4.66856303516 + 191.2044486281*$t);
$Y3 += 0.00000000026*cos(1.97438831111 + 6894.76776632111*$t);
$Y3 += 0.00000000023*cos(4.28067595534 + 2281.4743139941*$t);
$Y3 += 0.00000000027*cos(2.94695290371 + 16706.8290693315*$t);
$Y3 += 0.00000000026*cos(3.96428963673 + 8433.00820229911*$t);
$Y3 += 0.00000000028*cos(1.79193447711 + 9623.9320941747*$t);
$Y3 += 0.00000000027*cos(1.13776019664 + 2145.92159899169*$t);
$Y3 += 0.00000000024*cos(5.97021720723 + 8270.5415661669*$t);
$Y3 += 0.00000000026*cos(2.65229643774 + 1747.7725955835*$t);
$Y3 += 0.00000000022*cos(5.61692474893 + 3767.4544350593*$t);
$Y3 += 0.00000000025*cos(2.25020572476 + 2811.1652790887*$t);
$Y3 += 0.00000000020*cos(0.07098508189 + 3554.1553396213*$t);
$Y3 += 0.00000000019*cos(2.88996373259 + 3127.5571487453*$t);
$Y3 += 0.00000000022*cos(0.46069753881 + 553.32558535889*$t);
$Y3 += 0.00000000023*cos(5.33595219972 + 951.4745887671*$t);
$Y3 += 0.00000000019*cos(0.10196223786 + 553.8132203259*$t);
$Y3 += 0.00000000026*cos(4.87516844857 + 8962.6991673937*$t);
$Y3 += 0.00000000020*cos(5.14250346119 + 9639.18456535971*$t);
$Y3 += 0.00000000019*cos(6.00158821783 + 2810.6776441217*$t);
$Y3 += 0.00000000021*cos(4.93189731089 + 951.9622237341*$t);
$Y3 += 0.00000000017*cos(1.68247778914 + 13171.2452581711*$t);
$Y3 += 0.00000000022*cos(5.95572380889 + 3738.51761262449*$t);
$Y3 += 0.00000000019*cos(1.64647085293 + 6681.40136058031*$t);
$Y3 += 0.00000000022*cos(0.08200412214 + 10973.7995038335*$t);
$Y3 += 0.00000000016*cos(4.51745505904 + 4136.66661603269*$t);
$Y3 += 0.00000000019*cos(1.23797436286 + 6681.5359811859*$t);
$Y3 += 0.00000000021*cos(1.35776125147 + 1748.2602305505*$t);
$Y3 += 0.00000000017*cos(1.00152701220 + 382.6527147397*$t);
$Y3 += 0.00000000020*cos(1.75396056414 + 2280.98667902709*$t);
$Y3 += 0.00000000022*cos(3.17699744058 + 1350.1112271423*$t);
$Y3 += 0.00000000016*cos(5.34701571085 + 6254.8704800071*$t);
$Y3 += 0.00000000016*cos(2.36582548750 + 10551.7720626775*$t);
$Y3 += 0.00000000015*cos(1.53277475796 + 10177.5014970171*$t);
$Y3 += 0.00000000014*cos(3.52302167993 + 2914.2580533073*$t);
$Y3 += 0.00000000014*cos(6.07892689352 + 5459.6201045617*$t);
$Y3 += 0.00000000019*cos(6.17607723197 + 1990.5011995575*$t);
$Y3 += 0.00000000014*cos(0.25864758853 + 10029.1946445837*$t);
$Y3 += 0.00000000013*cos(2.47039869218 + 5614.9731936931*$t);
$Y3 += 0.00000000015*cos(1.09462751364 + 6674.3551238823*$t);
$Y3 += 0.00000000013*cos(6.22971843612 + 1066.7392946735*$t);
$Y3 += 0.00000000016*cos(2.66082127133 + 640.1411037975*$t);
$Y3 += 0.00000000013*cos(5.23063056874 + 5621.5991057269*$t);
$Y3 += 0.00000000013*cos(6.19082803643 + 242.97242145751*$t);
$Y3 += 0.00000000014*cos(4.95970323400 + 12310.42514109431*$t);
$Y3 += 0.00000000013*cos(5.13330302990 + 191.6920835951*$t);
$Y3 += 0.00000000011*cos(4.76410993683 + 2388.6502029657*$t);
$Y3 += 0.00000000012*cos(4.69348384132 + 3148.9203431047*$t);
$Y3 += 0.00000000013*cos(3.86741890756 + 2119.00767786191*$t);
$Y3 += 0.00000000011*cos(0.48497464502 + 3583.0972131903*$t);
$Y3 += 0.00000000011*cos(3.56912327150 + 3340.38586286849*$t);
$Y3 += 0.00000000010*cos(3.06794437904 + 4534.81561944089*$t);
$Y3 += 0.00000000011*cos(1.53890583251 + 3340.3513555641*$t);
$Y3 += 0.00000000010*cos(3.31773666314 + 8429.4850839501*$t);
$Y3 += 0.00000000010*cos(1.74465995773 + 10014.9675505821*$t);
$Y3 += 0.00000000009*cos(2.31043926403 + 3320.50092478451*$t);
$Y3 += 0.00000000011*cos(6.23117374482 + 8962.2115324267*$t);
$Y3 += 0.00000000009*cos(0.67622157817 + 3361.2115635821*$t);
$Y3 += 0.00000000009*cos(2.53457737250 + 12296.1980470927*$t);
$Y3 += 0.00000000010*cos(3.49125725908 + 16173.6149858879*$t);
$Y3 += 0.00000000009*cos(0.45307177363 + 1052.51220067191*$t);
$Y3 += 0.00000000009*cos(5.25143266877 + 5614.48555872609*$t);
$Y3 += 0.00000000010*cos(0.42320665245 + 529.9347825781*$t);
$Y3 += 0.00000000008*cos(1.34588517648 + 3893.93801205869*$t);
$Y3 += 0.00000000009*cos(4.25124379767 + 3325.6037729983*$t);
$Y3 += 0.00000000008*cos(3.39718396453 + 2786.7992063739*$t);
$Y3 += 0.00000000009*cos(5.01886213751 + 3356.10871536831*$t);
$Y3 += 0.00000000011*cos(0.14412148132 + 242.4847864905*$t);
$Y3 += 0.00000000009*cos(6.13794980664 + 1751.7833488995*$t);
$Y3 += 0.00000000007*cos(1.88989832363 + 2957.4720769931*$t);
$Y3 += 0.00000000008*cos(6.15723205798 + 4292.0870154669*$t);
$Y3 += 0.00000000007*cos(1.45796130115 + 14158.9915310991*$t);
$Y3 += 0.00000000010*cos(5.32959721544 + 529.44714761109*$t);
$Y3 += 0.00000000010*cos(0.03923636410 + 12302.8239591265*$t);
$Y3 += 0.00000000009*cos(5.97902157224 + 6684.5041542651*$t);
$Y3 += 0.00000000008*cos(0.50370755190 + 2273.8731320263*$t);
return $Y3*$t*$t*$t;
}
function Mars_Y4($t) // 81 terms of order 4
{
$Y4 = 0.00000174339*cos(2.93381852792 + 3340.8562441833*$t);
$Y4 += 0.00000065332*cos(6.16516435716 + 0.2438174835*$t);
$Y4 += 0.00000021612*cos(3.90497783530 + 6681.46867088311*$t);
$Y4 += 0.00000012491*cos(5.22926339778 + 10022.0810975829*$t);
$Y4 += 0.00000005152*cos(5.82623510484 + 13362.6935242827*$t);
$Y4 += 0.00000002432*cos(3.46296610123 + 3496.2766436175*$t);
$Y4 += 0.00000002407*cos(2.61988971710 + 3185.43584474911*$t);
$Y4 += 0.00000001485*cos(6.26563422445 + 16703.3059509825*$t);
$Y4 += 0.00000001453*cos(2.74672685906 + 3340.36860921629*$t);
$Y4 += 0.00000000592*cos(1.22137870027 + 3583.5848481573*$t);
$Y4 += 0.00000000596*cos(4.86866829338 + 3098.1276402093*$t);
$Y4 += 0.00000000649*cos(3.10993649847 + 6680.98103591609*$t);
$Y4 += 0.00000000380*cos(2.98520597318 + 6526.04827144891*$t);
$Y4 += 0.00000000351*cos(0.37438431534 + 20043.9183776823*$t);
$Y4 += 0.00000000281*cos(5.74023871163 + 3344.3793625323*$t);
$Y4 += 0.00000000275*cos(5.82358825194 + 3337.33312583431*$t);
$Y4 += 0.00000000287*cos(2.04842024047 + 3894.4256470257*$t);
$Y4 += 0.00000000285*cos(4.01760045509 + 2787.2868413409*$t);
$Y4 += 0.00000000151*cos(0.21831233003 + 6684.9917892321*$t);
$Y4 += 0.00000000128*cos(3.67710811233 + 6836.8890703173*$t);
$Y4 += 0.00000000111*cos(3.42090983567 + 10021.5934626159*$t);
$Y4 += 0.00000000088*cos(1.58466318522 + 6924.1972748571*$t);
$Y4 += 0.00000000071*cos(0.74300955382 + 23384.5308043821*$t);
$Y4 += 0.00000000055*cos(0.69772957456 + 10025.6042159319*$t);
$Y4 += 0.00000000048*cos(4.38512823437 + 6127.8992680407*$t);
$Y4 += 0.00000000063*cos(3.34688291780 + 9866.66069814871*$t);
$Y4 += 0.00000000034*cos(5.06262173016 + 6438.7400669091*$t);
$Y4 += 0.00000000033*cos(1.70059643142 + 1059.6257476727*$t);
$Y4 += 0.00000000019*cos(3.71883012543 + 13362.2058893157*$t);
$Y4 += 0.00000000018*cos(5.50021563801 + 6490.0204047715*$t);
$Y4 += 0.00000000016*cos(3.64198835610 + 3149.4079780717*$t);
$Y4 += 0.00000000016*cos(4.24409660230 + 2942.7072407751*$t);
$Y4 += 0.00000000015*cos(5.58219475947 + 3532.3045102949*$t);
$Y4 += 0.00000000015*cos(5.77023095211 + 2544.5582373669*$t);
$Y4 += 0.00000000014*cos(1.18570988628 + 5622.08674069391*$t);
$Y4 += 0.00000000014*cos(4.91332403738 + 3739.0052475915*$t);
$Y4 += 0.00000000013*cos(3.26498430793 + 4400.2381743725*$t);
$Y4 += 0.00000000013*cos(3.45392588632 + 4137.1542509997*$t);
$Y4 += 0.00000000012*cos(1.58704936612 + 1194.6908277081*$t);
$Y4 += 0.00000000012*cos(4.09135686171 + 6682.44899195131*$t);
$Y4 += 0.00000000015*cos(5.36555803467 + 7477.7666776995*$t);
$Y4 += 0.00000000011*cos(0.34983006468 + 7079.61767429131*$t);
$Y4 += 0.00000000015*cos(3.69953477421 + 529.9347825781*$t);
$Y4 += 0.00000000013*cos(4.15046759496 + 10177.5014970171*$t);
$Y4 += 0.00000000014*cos(2.27580303219 + 7235.0380737255*$t);
$Y4 += 0.00000000011*cos(1.94853565727 + 10264.80970155691*$t);
$Y4 += 0.00000000013*cos(1.09206345437 + 13366.21664263171*$t);
$Y4 += 0.00000000010*cos(2.95515329817 + 796.5418242999*$t);
$Y4 += 0.00000000010*cos(0.79995918783 + 5331.6012612243*$t);
$Y4 += 0.00000000012*cos(5.75066247454 + 5729.7502646325*$t);
$Y4 += 0.00000000011*cos(1.07729854427 + 26725.1432310819*$t);
$Y4 += 0.00000000008*cos(3.24165666451 + 6298.57213865991*$t);
$Y4 += 0.00000000008*cos(2.38038667642 + 3340.8734978355*$t);
$Y4 += 0.00000000008*cos(0.34961504493 + 3340.83899053111*$t);
$Y4 += 0.00000000007*cos(5.14772021296 + 1990.9888345245*$t);
$Y4 += 0.00000000009*cos(5.07995147120 + 2280.98667902709*$t);
$Y4 += 0.00000000007*cos(4.03741515609 + 7875.91568110771*$t);
$Y4 += 0.00000000008*cos(2.02200735771 + 4933.4522578161*$t);
$Y4 += 0.00000000007*cos(3.75129319164 + 2389.1378379327*$t);
$Y4 += 0.00000000009*cos(0.25417853710 + 1592.8398311163*$t);
$Y4 += 0.00000000007*cos(0.82767073807 + 3339.8759231151*$t);
$Y4 += 0.00000000007*cos(2.14189652179 + 3341.83656525151*$t);
$Y4 += 0.00000000007*cos(4.15524185925 + 3343.8917275653*$t);
$Y4 += 0.00000000006*cos(5.26975113166 + 6151.7777057885*$t);
$Y4 += 0.00000000007*cos(0.39533433606 + 3184.9482097821*$t);
$Y4 += 0.00000000007*cos(2.62352530661 + 155.17658195069*$t);
$Y4 += 0.00000000006*cos(2.08770398228 + 1589.3167127673*$t);
$Y4 += 0.00000000005*cos(1.31171511465 + 5487.0216606585*$t);
$Y4 += 0.00000000005*cos(6.18023058032 + 5885.1706640667*$t);
$Y4 += 0.00000000005*cos(5.51400581371 + 4292.5746504339*$t);
$Y4 += 0.00000000006*cos(0.88154703323 + 2146.4092339587*$t);
$Y4 += 0.00000000005*cos(4.11249699702 + 4690.7236538421*$t);
$Y4 += 0.00000000005*cos(1.23189383847 + 2957.9597119601*$t);
$Y4 += 0.00000000004*cos(3.71246158922 + 13207.27312484851*$t);
$Y4 += 0.00000000005*cos(2.07014421381 + 4535.3032544079*$t);
$Y4 += 0.00000000004*cos(1.74392645390 + 3723.7527764065*$t);
$Y4 += 0.00000000005*cos(2.71222704178 + 5088.8726572503*$t);
$Y4 += 0.00000000004*cos(4.76678794761 + 9468.51169474051*$t);
$Y4 += 0.00000000004*cos(4.22334394857 + 398.3928208917*$t);
$Y4 += 0.00000000003*cos(4.44413134438 + 3870.54720927791*$t);
$Y4 += 0.00000000003*cos(4.24190972006 + 7633.1870771337*$t);
return $Y4*$t*$t*$t*$t;
}
function Mars_Y5($t) // 26 terms of order 5
{
$Y5 = 0.00000002822*cos(0.96657189081 + 0.2438174835*$t);
$Y5 += 0.00000001310*cos(3.05377797611 + 3340.8562441833*$t);
$Y5 += 0.00000000954*cos(1.98829739864 + 6681.46867088311*$t);
$Y5 += 0.00000000429*cos(3.31617723817 + 10022.0810975829*$t);
$Y5 += 0.00000000275*cos(4.95749653129 + 3496.2766436175*$t);
$Y5 += 0.00000000272*cos(1.09357865500 + 3185.43584474911*$t);
$Y5 += 0.00000000241*cos(4.15990840451 + 13362.6935242827*$t);
$Y5 += 0.00000000262*cos(1.53308484382 + 3340.36860921629*$t);
$Y5 += 0.00000000092*cos(4.67897944940 + 16703.3059509825*$t);
$Y5 += 0.00000000076*cos(5.98548328683 + 3583.5848481573*$t);
$Y5 += 0.00000000077*cos(0.08639182463 + 3098.1276402093*$t);
$Y5 += 0.00000000049*cos(1.46758792224 + 6526.04827144891*$t);
$Y5 += 0.00000000032*cos(1.68955173389 + 6680.98103591609*$t);
$Y5 += 0.00000000026*cos(5.10726173875 + 20043.9183776823*$t);
$Y5 += 0.00000000027*cos(3.55496481176 + 3894.4256470257*$t);
$Y5 += 0.00000000026*cos(2.47271477475 + 2787.2868413409*$t);
$Y5 += 0.00000000013*cos(5.14425957427 + 6836.8890703173*$t);
$Y5 += 0.00000000013*cos(0.06925191240 + 6924.1972748571*$t);
$Y5 += 0.00000000006*cos(1.93462610905 + 10021.5934626159*$t);
$Y5 += 0.00000000007*cos(6.11562143175 + 3337.33312583431*$t);
$Y5 += 0.00000000007*cos(3.04667075048 + 3344.3793625323*$t);
$Y5 += 0.00000000005*cos(2.85975463034 + 6127.8992680407*$t);
$Y5 += 0.00000000007*cos(1.82394907196 + 9866.66069814871*$t);
$Y5 += 0.00000000006*cos(4.75654379617 + 6684.9917892321*$t);
$Y5 += 0.00000000005*cos(5.49442547736 + 23384.5308043821*$t);
$Y5 += 0.00000000004*cos(0.28345481344 + 6438.7400669091*$t);
return $Y5*$t*$t*$t*$t*$t;
}
function Mars_Z0($t) // 355 terms of order 0
{
$Z0 = 0.04901207220*cos(3.76712324286 + 3340.6124266998*$t);
$Z0 += 0.00660669541;
$Z0 += 0.00228333904*cos(4.10544022266 + 6681.2248533996*$t);
$Z0 += 0.00015958402*cos(4.44367058261 + 10021.8372800994*$t);
$Z0 += 0.00001321976*cos(4.78186604114 + 13362.4497067992*$t);
$Z0 += 0.00000679660*cos(5.65109977813 + 3337.0893083508*$t);
$Z0 += 0.00000679219*cos(5.02527030899 + 3344.1355450488*$t);
$Z0 += 0.00000531140*cos(3.86748390045 + 2281.2304965106*$t);
$Z0 += 0.00000374993*cos(4.33338216773 + 529.6909650946*$t);
$Z0 += 0.00000325315*cos(2.24562508217 + 1059.3819301892*$t);
$Z0 += 0.00000218762*cos(1.18094849702 + 3340.5951730476*$t);
$Z0 += 0.00000218761*cos(3.21172012852 + 3340.629680352*$t);
$Z0 += 0.00000152333*cos(6.08109566130 + 6151.533888305*$t);
$Z0 += 0.00000146631*cos(5.09927022855 + 398.1490034082*$t);
$Z0 += 0.00000152443*cos(2.13254535850 + 5621.8429232104*$t);
$Z0 += 0.00000120328*cos(5.12010663983 + 16703.062133499*$t);
$Z0 += 0.00000126016*cos(3.67803475473 + 796.2980068164*$t);
$Z0 += 0.00000116766*cos(4.86913583010 + 2942.4634232916*$t);
$Z0 += 0.00000112925*cos(5.76548397681 + 3738.761430108*$t);
$Z0 += 0.00000074290*cos(2.43508234938 + 8962.4553499102*$t);
$Z0 += 0.00000071989*cos(5.54217679275 + 3340.545116397*$t);
$Z0 += 0.00000068644*cos(5.54532471548 + 6283.0758499914*$t);
$Z0 += 0.00000071987*cos(5.13368040597 + 3340.6797370026*$t);
$Z0 += 0.00000063219*cos(5.36590967098 + 6684.7479717486*$t);
$Z0 += 0.00000075858*cos(4.51645136094 + 3149.1641605882*$t);
$Z0 += 0.00000063502*cos(4.16748385740 + 1751.539531416*$t);
$Z0 += 0.00000063828*cos(5.98786823499 + 6677.7017350506*$t);
$Z0 += 0.00000059355*cos(0.72879549961 + 5884.9268465832*$t);
$Z0 += 0.00000050332*cos(1.96033823263 + 2810.9214616052*$t);
$Z0 += 0.00000051292*cos(2.64769056433 + 2914.0142358238*$t);
$Z0 += 0.00000044615*cos(5.88956380171 + 3532.0606928114*$t);
$Z0 += 0.00000045001*cos(2.29942389620 + 1589.0728952838*$t);
$Z0 += 0.00000045526*cos(2.27415776311 + 1194.4470102246*$t);
$Z0 += 0.00000045098*cos(4.08200115074 + 4136.9104335162*$t);
$Z0 += 0.00000033148*cos(2.01609063016 + 5486.777843175*$t);
$Z0 += 0.00000029003*cos(2.64937555759 + 426.598190876*$t);
$Z0 += 0.00000033968*cos(0.46851841759 + 2544.3144198834*$t);
$Z0 += 0.00000027697*cos(5.54319865094 + 191.4482661116*$t);
$Z0 += 0.00000030473*cos(4.98782051819 + 3870.3033917944*$t);
$Z0 += 0.00000022262*cos(0.19101027284 + 9492.1463150048*$t);
$Z0 += 0.00000021566*cos(2.45059201892 + 3333.498879699*$t);
$Z0 += 0.00000019900*cos(4.78493597626 + 213.299095438*$t);
$Z0 += 0.00000019445*cos(3.36733718353 + 5088.6288397668*$t);
$Z0 += 0.00000022415*cos(2.80792353370 + 3496.032826134*$t);
$Z0 += 0.00000019109*cos(0.86825937304 + 1592.5960136328*$t);
$Z0 += 0.00000024101*cos(2.57371991774 + 4399.994356889*$t);
$Z0 += 0.00000020382*cos(3.55004736979 + 6681.2421070518*$t);
$Z0 += 0.00000019188*cos(1.51640815942 + 3185.1920272656*$t);
$Z0 += 0.00000020382*cos(1.51927573830 + 6681.2075997474*$t);
$Z0 += 0.00000013488*cos(2.86475891587 + 3341.592747768*$t);
$Z0 += 0.00000013492*cos(1.52791184830 + 3339.6321056316*$t);
$Z0 += 0.00000011777*cos(4.79772279974 + 3553.9115221378*$t);
$Z0 += 0.00000012741*cos(6.05559229749 + 7079.3738568078*$t);
$Z0 += 0.00000011907*cos(1.65033513222 + 6254.6266625236*$t);
$Z0 += 0.00000011511*cos(2.75835305381 + 12303.06777661*$t);
$Z0 += 0.00000011629*cos(5.45832237690 + 20043.6745601988*$t);
$Z0 += 0.00000011780*cos(4.75307421274 + 4690.4798363586*$t);
$Z0 += 0.00000010587*cos(6.14125670809 + 7.1135470008*$t);
$Z0 += 0.00000008746*cos(1.07533372055 + 9225.539273283*$t);
$Z0 += 0.00000009300*cos(5.74426412364 + 1990.745017041*$t);
$Z0 += 0.00000009010*cos(5.91031650213 + 9623.6882766912*$t);
$Z0 += 0.00000009099*cos(4.14734627288 + 3127.3133312618*$t);
$Z0 += 0.00000008399*cos(2.65942772730 + 4535.0594369244*$t);
$Z0 += 0.00000009575*cos(0.26669816734 + 10213.285546211*$t);
$Z0 += 0.00000011208*cos(2.64763421097 + 8432.7643848156*$t);
$Z0 += 0.00000008425*cos(5.67806346712 + 6467.9257579616*$t);
$Z0 += 0.00000007879*cos(6.16301318418 + 4292.3308329504*$t);
$Z0 += 0.00000006986*cos(1.31599425886 + 3894.1818295422*$t);
$Z0 += 0.00000007013*cos(4.83160093113 + 6489.776587288*$t);
$Z0 += 0.00000006707*cos(5.47201048198 + 6681.2921637024*$t);
$Z0 += 0.00000008732*cos(5.94456391651 + 5092.1519581158*$t);
$Z0 += 0.00000006427*cos(6.10941025846 + 4562.4609930212*$t);
$Z0 += 0.00000008234*cos(3.68630710748 + 2700.7151403858*$t);
$Z0 += 0.00000007214*cos(1.11647593098 + 3319.8370312074*$t);
$Z0 += 0.00000006128*cos(4.51741845562 + 1221.8485663214*$t);
$Z0 += 0.00000006627*cos(5.70488581385 + 10025.3603984484*$t);
$Z0 += 0.00000006712*cos(0.04223488375 + 10018.3141617504*$t);
$Z0 += 0.00000007157*cos(3.27593626835 + 3361.3878221922*$t);
$Z0 += 0.00000005667*cos(1.84572324920 + 2957.7158944766*$t);
$Z0 += 0.00000006707*cos(5.88050686882 + 6681.1575430968*$t);
$Z0 += 0.00000004916*cos(2.93046960145 + 2787.0430238574*$t);
$Z0 += 0.00000004722*cos(2.41041908083 + 3344.2028553516*$t);
$Z0 += 0.00000004650*cos(1.71276888306 + 639.897286314*$t);
$Z0 += 0.00000004742*cos(1.97920373919 + 3337.021998048*$t);
$Z0 += 0.00000004597*cos(4.41002877977 + 7477.522860216*$t);
$Z0 += 0.00000005433*cos(4.33760555117 + 2388.8940204492*$t);
$Z0 += 0.00000005641*cos(2.43527331240 + 2118.7638603784*$t);
$Z0 += 0.00000004363*cos(2.24320799714 + 11773.3768115154*$t);
$Z0 += 0.00000004127*cos(2.04411881734 + 2146.1654164752*$t);
$Z0 += 0.00000003613*cos(3.61081984797 + 8429.2412664666*$t);
$Z0 += 0.00000003478*cos(2.64660968975 + 4929.6853219836*$t);
$Z0 += 0.00000003714*cos(1.76418965622 + 382.8965322232*$t);
$Z0 += 0.00000003331*cos(6.17753431621 + 7210.9158184942*$t);
$Z0 += 0.00000003580*cos(3.90470994536 + 7903.073419721*$t);
$Z0 += 0.00000003111*cos(2.03406809335 + 155.4203994342*$t);
$Z0 += 0.00000003351*cos(0.47359753009 + 3475.6775067352*$t);
$Z0 += 0.00000003025*cos(1.91083270977 + 9595.2390892234*$t);
$Z0 += 0.00000003493*cos(2.25666784516 + 3723.508958923*$t);
$Z0 += 0.00000003509*cos(3.91758478184 + 3205.5473466644*$t);
$Z0 += 0.00000003007*cos(0.81247341820 + 2274.1169495098*$t);
$Z0 += 0.00000002982*cos(3.68257004005 + 2288.3440435114*$t);
$Z0 += 0.00000002567*cos(4.96092533051 + 8031.0922630584*$t);
$Z0 += 0.00000002649*cos(2.98742483865 + 3767.2106175758*$t);
$Z0 += 0.00000002322*cos(1.23249592342 + 4933.2084403326*$t);
$Z0 += 0.00000002733*cos(0.51395284395 + 12832.7587417046*$t);
$Z0 += 0.00000002136*cos(3.88842223350 + 10021.8545337516*$t);
$Z0 += 0.00000002136*cos(1.85765060200 + 10021.8200264472*$t);
$Z0 += 0.00000002772*cos(2.43968968772 + 8827.3902698748*$t);
$Z0 += 0.00000002162*cos(3.01828376513 + 6041.3275670856*$t);
$Z0 += 0.00000002091*cos(3.80489059877 + 6872.6731195112*$t);
$Z0 += 0.00000002233*cos(2.94758000961 + 7740.6067835888*$t);
$Z0 += 0.00000002614*cos(4.45694073527 + 6674.1113063988*$t);
$Z0 += 0.00000001930*cos(5.30759100687 + 1066.49547719*$t);
$Z0 += 0.00000002513*cos(0.10458597053 + 3583.3410306738*$t);
$Z0 += 0.00000002104*cos(2.45809927011 + 1052.2683831884*$t);
$Z0 += 0.00000001861*cos(4.13522134185 + 1349.8674096588*$t);
$Z0 += 0.00000001728*cos(2.95584201533 + 12168.0026965746*$t);
$Z0 += 0.00000001840*cos(0.20978853293 + 4032.7700279266*$t);
$Z0 += 0.00000001669*cos(5.50497155791 + 951.7184062506*$t);
$Z0 += 0.00000001911*cos(2.94107630035 + 1748.016413067*$t);
$Z0 += 0.00000001442*cos(1.87731237490 + 3077.528503327*$t);
$Z0 += 0.00000001589*cos(1.73601297200 + 3369.0616141676*$t);
$Z0 += 0.00000001379*cos(0.09013023527 + 10419.9862835076*$t);
$Z0 += 0.00000001392*cos(0.27504136647 + 3325.3599555148*$t);
$Z0 += 0.00000001580*cos(4.48665176300 + 3.523118349*$t);
$Z0 += 0.00000001766*cos(1.85661467458 + 6525.8044539654*$t);
$Z0 += 0.00000001292*cos(2.51829136056 + 3603.6963500726*$t);
$Z0 += 0.00000001297*cos(5.48481699939 + 11371.7046897582*$t);
$Z0 += 0.00000001613*cos(0.62341029242 + 553.5694028424*$t);
$Z0 += 0.00000001384*cos(4.11719633248 + 3355.8648978848*$t);
$Z0 += 0.00000001261*cos(1.86730474733 + 6680.2445323314*$t);
$Z0 += 0.00000001610*cos(2.65671079949 + 3312.163239232*$t);
$Z0 += 0.00000001274*cos(0.55350948232 + 3191.0492295652*$t);
$Z0 += 0.00000001704*cos(4.50757815133 + 3097.88382272579*$t);
$Z0 += 0.00000001460*cos(0.04101454115 + 7632.9432596502*$t);
$Z0 += 0.00000001242*cos(5.75816506092 + 149.5631971346*$t);
$Z0 += 0.00000001230*cos(1.10948154340 + 536.8045120954*$t);
$Z0 += 0.00000001216*cos(2.98306649362 + 6836.6452528338*$t);
$Z0 += 0.00000001161*cos(4.60505013406 + 1648.4467571974*$t);
$Z0 += 0.00000001579*cos(3.09053337023 + 15643.6802033098*$t);
$Z0 += 0.00000001118*cos(6.05429252683 + 9808.5381846614*$t);
$Z0 += 0.00000001376*cos(0.81116680514 + 3503.079062832*$t);
$Z0 += 0.00000001101*cos(4.62263227757 + 522.5774180938*$t);
$Z0 += 0.00000001320*cos(3.23812050004 + 3347.7259737006*$t);
$Z0 += 0.00000001419*cos(0.32932000507 + 3264.3463554242*$t);
$Z0 += 0.00000001103*cos(5.79565205719 + 6894.5239488376*$t);
$Z0 += 0.00000001257*cos(3.20326473314 + 6682.2051744678*$t);
$Z0 += 0.00000000968*cos(4.43650051215 + 103.0927742186*$t);
$Z0 += 0.00000001004*cos(4.71380449727 + 2487.4160449478*$t);
$Z0 += 0.00000001014*cos(0.55883970461 + 10973.55568635*$t);
$Z0 += 0.00000000950*cos(2.98201757904 + 3178.1457905676*$t);
$Z0 += 0.00000000958*cos(1.45300862079 + 12566.1516999828*$t);
$Z0 += 0.00000000964*cos(5.98684645223 + 242.728603974*$t);
$Z0 += 0.00000000925*cos(5.46131905325 + 5614.7293762096*$t);
$Z0 += 0.00000000935*cos(4.94933845312 + 1758.6530784168*$t);
$Z0 += 0.00000001171*cos(5.79646129252 + 23384.2869868986*$t);
$Z0 += 0.00000000969*cos(2.65689194156 + 2648.454825473*$t);
$Z0 += 0.00000000853*cos(4.81086337808 + 15110.4661198662*$t);
$Z0 += 0.00000000901*cos(5.67928823390 + 2921.1277828246*$t);
$Z0 += 0.00000001125*cos(6.27341969245 + 12964.300703391*$t);
$Z0 += 0.00000000844*cos(2.97906384874 + 7875.6718636242*$t);
$Z0 += 0.00000000811*cos(0.19379046862 + 3346.1353510072*$t);
$Z0 += 0.00000000812*cos(4.19639785587 + 3335.0895023924*$t);
$Z0 += 0.00000000774*cos(1.38696439205 + 7234.794256242*$t);
$Z0 += 0.00000000761*cos(1.99221081181 + 26087.9031415742*$t);
$Z0 += 0.00000000742*cos(0.37908087243 + 13358.9265884502*$t);
$Z0 += 0.00000000732*cos(5.16784948008 + 9830.3890139878*$t);
$Z0 += 0.00000000946*cos(1.88936722079 + 5628.9564702112*$t);
$Z0 += 0.00000000820*cos(4.37824637524 + 7373.3824546264*$t);
$Z0 += 0.00000000671*cos(5.25224406605 + 76.2660712756*$t);
$Z0 += 0.00000000785*cos(4.59990880607 + 6438.4962494256*$t);
$Z0 += 0.00000000668*cos(3.61130377946 + 6702.000248892*$t);
$Z0 += 0.00000000655*cos(2.60002275981 + 11243.6858464208*$t);
$Z0 += 0.00000000760*cos(3.03501058836 + 3360.96774609859*$t);
$Z0 += 0.00000000764*cos(4.37581912554 + 11769.8536931664*$t);
$Z0 += 0.00000000704*cos(5.80908299008 + 10021.9045904022*$t);
$Z0 += 0.00000000840*cos(6.11799044851 + 5331.3574437408*$t);
$Z0 += 0.00000000641*cos(1.73269627789 + 1692.1656695024*$t);
$Z0 += 0.00000000629*cos(1.09880202633 + 14314.1681130498*$t);
$Z0 += 0.00000000704*cos(6.21757937692 + 10021.7699697966*$t);
$Z0 += 0.00000000646*cos(3.01919436853 + 9381.9399937854*$t);
$Z0 += 0.00000000612*cos(3.40750819704 + 10713.9948813262*$t);
$Z0 += 0.00000000732*cos(6.04237219046 + 13365.9728251482*$t);
$Z0 += 0.00000000771*cos(2.47252701375 + 15113.9892382152*$t);
$Z0 += 0.00000000621*cos(5.85690842904 + 3351.2490920496*$t);
$Z0 += 0.00000000767*cos(1.35441792357 + 3320.257107301*$t);
$Z0 += 0.00000000586*cos(0.79051565116 + 853.196381752*$t);
$Z0 += 0.00000000692*cos(1.46718257115 + 6660.4494579072*$t);
$Z0 += 0.00000000669*cos(0.51352618116 + 7064.1213856228*$t);
$Z0 += 0.00000000528*cos(3.12611933096 + 74.7815985673*$t);
$Z0 += 0.00000000600*cos(5.04547651146 + 692.1576012268*$t);
$Z0 += 0.00000000630*cos(1.58386830258 + 1581.959348283*$t);
$Z0 += 0.00000000623*cos(4.81491846507 + 3329.97576135*$t);
$Z0 += 0.00000000661*cos(2.79286199869 + 2906.900688823*$t);
$Z0 += 0.00000000570*cos(4.61307898923 + 3074.005384978*$t);
$Z0 += 0.00000000524*cos(6.05770135572 + 3607.2194684216*$t);
$Z0 += 0.00000000516*cos(2.43629649577 + 13916.0191096416*$t);
$Z0 += 0.00000000507*cos(2.02939502894 + 3333.5661900018*$t);
$Z0 += 0.00000000605*cos(1.93804011864 + 10575.4066829418*$t);
$Z0 += 0.00000000488*cos(4.67812564849 + 5729.506447149*$t);
$Z0 += 0.00000000465*cos(5.56224766580 + 8955.3418029094*$t);
$Z0 += 0.00000000467*cos(3.02812406788 + 6144.4203413042*$t);
$Z0 += 0.00000000524*cos(2.17529898104 + 6298.3283211764*$t);
$Z0 += 0.00000000449*cos(4.27905913954 + 6546.1597733642*$t);
$Z0 += 0.00000000442*cos(2.21279250958 + 3347.6586633978*$t);
$Z0 += 0.00000000442*cos(0.35835774849 + 18052.9295431578*$t);
$Z0 += 0.00000000452*cos(4.74868579573 + 5828.0284716476*$t);
$Z0 += 0.00000000444*cos(2.31126753824 + 6677.6344247478*$t);
$Z0 += 0.00000000454*cos(5.96502230469 + 419.4846438752*$t);
$Z0 += 0.00000000457*cos(2.76482172070 + 5459.3762870782*$t);
$Z0 += 0.00000000452*cos(2.18667537557 + 12935.8515159232*$t);
$Z0 += 0.00000000440*cos(2.28024553720 + 8969.568896911*$t);
$Z0 += 0.00000000439*cos(3.26823913184 + 6127.6554505572*$t);
$Z0 += 0.00000000417*cos(2.62418009712 + 433.7117378768*$t);
$Z0 += 0.00000000450*cos(4.97549718782 + 6531.661656265*$t);
$Z0 += 0.00000000467*cos(5.81074791371 + 6158.6474353058*$t);
$Z0 += 0.00000000430*cos(4.78793443738 + 3863.1898447936*$t);
$Z0 += 0.00000000409*cos(1.99836071636 + 3980.5097130138*$t);
$Z0 += 0.00000000399*cos(4.74255258433 + 10818.1352869158*$t);
$Z0 += 0.00000000453*cos(6.26634249241 + 14712.317116458*$t);
$Z0 += 0.00000000437*cos(2.74634913436 + 6684.8152820514*$t);
$Z0 += 0.00000000400*cos(2.77865299135 + 4989.0591838972*$t);
$Z0 += 0.00000000506*cos(1.18461823734 + 1744.4259844152*$t);
$Z0 += 0.00000000403*cos(5.36937826882 + 1596.1864422846*$t);
$Z0 += 0.00000000380*cos(4.97818849120 + 10014.7237330986*$t);
$Z0 += 0.00000000371*cos(3.33405966002 + 10177.2576795336*$t);
$Z0 += 0.00000000361*cos(5.24088703687 + 2178.137722292*$t);
$Z0 += 0.00000000400*cos(1.62063267593 + 14584.2982731206*$t);
$Z0 += 0.00000000403*cos(1.82423390219 + 3399.9862886134*$t);
$Z0 += 0.00000000410*cos(4.54392931383 + 3344.4937620578*$t);
$Z0 += 0.00000000418*cos(4.88395861492 + 3443.7052009184*$t);
$Z0 += 0.00000000341*cos(3.76526341028 + 6688.3384004004*$t);
$Z0 += 0.00000000387*cos(2.20624213901 + 3281.2385647862*$t);
$Z0 += 0.00000000328*cos(1.60706573380 + 3546.797975137*$t);
$Z0 += 0.00000000346*cos(5.93876607715 + 3364.4908644476*$t);
$Z0 += 0.00000000427*cos(0.42766619939 + 10551.528245194*$t);
$Z0 += 0.00000000333*cos(2.97391198780 + 17256.6315363414*$t);
$Z0 += 0.00000000351*cos(0.89374033083 + 16173.3711684044*$t);
$Z0 += 0.00000000387*cos(5.50555914948 + 3973.396166013*$t);
$Z0 += 0.00000000410*cos(6.13790219128 + 3336.7310913418*$t);
$Z0 += 0.00000000349*cos(4.74282066857 + 3316.733988952*$t);
$Z0 += 0.00000000366*cos(0.54436256149 + 110.2063212194*$t);
$Z0 += 0.00000000284*cos(2.49529211057 + 6784.3176276182*$t);
$Z0 += 0.00000000338*cos(3.01411006339 + 8270.2977486834*$t);
$Z0 += 0.00000000279*cos(0.15295518242 + 135.0650800354*$t);
$Z0 += 0.00000000290*cos(4.30595018325 + 16858.4825329332*$t);
$Z0 += 0.00000000277*cos(3.21266616465 + 8329.671610597*$t);
$Z0 += 0.00000000303*cos(4.39325865345 + 2818.035008606*$t);
$Z0 += 0.00000000302*cos(5.76020823903 + 2384.3232707292*$t);
$Z0 += 0.00000000360*cos(0.81576341528 + 6816.289933435*$t);
$Z0 += 0.00000000287*cos(5.89677690833 + 3340.19235060619*$t);
$Z0 += 0.00000000300*cos(3.61030466166 + 3304.5845600224*$t);
$Z0 += 0.00000000264*cos(5.45859266580 + 6604.958782124*$t);
$Z0 += 0.00000000330*cos(3.81421832191 + 13517.8701062334*$t);
$Z0 += 0.00000000287*cos(4.78503735880 + 3341.0325027934*$t);
$Z0 += 0.00000000343*cos(1.02525479822 + 3230.4061054804*$t);
$Z0 += 0.00000000246*cos(2.64795288862 + 3304.0070613956*$t);
$Z0 += 0.00000000310*cos(1.76905174573 + 10404.7338123226*$t);
$Z0 += 0.00000000241*cos(3.33235757149 + 11081.2192102886*$t);
$Z0 += 0.00000000245*cos(1.00254307216 + 3209.0704650134*$t);
$Z0 += 0.00000000295*cos(0.78856158130 + 3376.6402933772*$t);
$Z0 += 0.00000000247*cos(4.74687572675 + 9779.1086761254*$t);
$Z0 += 0.00000000241*cos(1.74832761256 + 3377.217792004*$t);
$Z0 += 0.00000000264*cos(1.82146900201 + 17654.7805397496*$t);
$Z0 += 0.00000000274*cos(2.60650323538 + 3657.0042963564*$t);
$Z0 += 0.00000000238*cos(0.43806562773 + 6923.9534573736*$t);
$Z0 += 0.00000000227*cos(2.88048108848 + 3415.3940252671*$t);
$Z0 += 0.00000000300*cos(0.70241789966 + 3134.4268782626*$t);
$Z0 += 0.00000000237*cos(2.19737291235 + 13362.432453147*$t);
$Z0 += 0.00000000220*cos(1.43836209680 + 6606.4432548323*$t);
$Z0 += 0.00000000222*cos(3.39627559384 + 3472.1543883862*$t);
$Z0 += 0.00000000217*cos(2.18530503085 + 20995.3929664494*$t);
$Z0 += 0.00000000254*cos(2.93819031378 + 5085.038411115*$t);
$Z0 += 0.00000000236*cos(4.23042638023 + 13362.4669604514*$t);
$Z0 += 0.00000000242*cos(0.41755696147 + 1861.7458526354*$t);
$Z0 += 0.00000000285*cos(0.10171887281 + 17085.9586657222*$t);
$Z0 += 0.00000000218*cos(0.33151885058 + 16304.9131300908*$t);
$Z0 += 0.00000000215*cos(5.26457047836 + 1375.7737998458*$t);
$Z0 += 0.00000000207*cos(3.60591178333 + 7107.8230442756*$t);
$Z0 += 0.00000000196*cos(3.34505476799 + 8439.8779318164*$t);
$Z0 += 0.00000000192*cos(5.08475415071 + 13119.72110282519*$t);
$Z0 += 0.00000000269*cos(0.19698472851 + 3024.2205570432*$t);
$Z0 += 0.00000000194*cos(4.52507414451 + 220.4126424388*$t);
$Z0 += 0.00000000186*cos(1.75940958561 + 2221.856634597*$t);
$Z0 += 0.00000000194*cos(3.41534671398 + 18984.2926300096*$t);
$Z0 += 0.00000000208*cos(3.02738720944 + 3511.285297319*$t);
$Z0 += 0.00000000204*cos(6.00463791835 + 162.4666361322*$t);
$Z0 += 0.00000000183*cos(3.62962279261 + 9168.6408983474*$t);
$Z0 += 0.00000000175*cos(4.04165128738 + 3760.097070575*$t);
$Z0 += 0.00000000174*cos(4.51117927233 + 23539.7073863328*$t);
$Z0 += 0.00000000193*cos(5.88968824988 + 2803.8079146044*$t);
$Z0 += 0.00000000190*cos(6.17637484900 + 13745.3462390224*$t);
$Z0 += 0.00000000208*cos(3.34809361979 + 3341.0423098265*$t);
$Z0 += 0.00000000198*cos(0.97311347960 + 3265.8308281325*$t);
$Z0 += 0.00000000205*cos(4.20157952693 + 6843.6914895318*$t);
$Z0 += 0.00000000222*cos(1.37049171707 + 3169.9395560806*$t);
$Z0 += 0.00000000183*cos(2.19041678580 + 9866.4168806652*$t);
$Z0 += 0.00000000225*cos(0.32450219510 + 13149.1506113612*$t);
$Z0 += 0.00000000211*cos(4.38136759956 + 640.8776073822*$t);
$Z0 += 0.00000000200*cos(3.00112781370 + 1162.4747044078*$t);
$Z0 += 0.00000000208*cos(6.18496348629 + 1478.8665740644*$t);
$Z0 += 0.00000000173*cos(3.90520749444 + 5099.2655051166*$t);
$Z0 += 0.00000000175*cos(0.38064797785 + 956.2891559706*$t);
$Z0 += 0.00000000158*cos(2.98574812713 + 13524.9163429314*$t);
$Z0 += 0.00000000170*cos(3.37406232659 + 15508.6151232744*$t);
$Z0 += 0.00000000184*cos(2.09449845330 + 949.1756089698*$t);
$Z0 += 0.00000000171*cos(4.75570011379 + 6261.7402095244*$t);
$Z0 += 0.00000000188*cos(5.56241899175 + 16460.33352952499*$t);
$Z0 += 0.00000000205*cos(5.01940138208 + 1118.7557921028*$t);
$Z0 += 0.00000000156*cos(3.68058177082 + 13553.8979729108*$t);
$Z0 += 0.00000000170*cos(2.00050957424 + 224.3447957019*$t);
$Z0 += 0.00000000208*cos(1.04576950390 + 3340.1825435731*$t);
$Z0 += 0.00000000156*cos(4.90620162208 + 20199.094959633*$t);
$Z0 += 0.00000000174*cos(5.58778318130 + 2766.267628365*$t);
$Z0 += 0.00000000169*cos(3.71127165203 + 10184.3039162316*$t);
$Z0 += 0.00000000171*cos(3.60600294119 + 20597.2439630412*$t);
$Z0 += 0.00000000140*cos(1.54110979029 + 2111.6503133776*$t);
$Z0 += 0.00000000145*cos(6.17161140540 + 19800.9459562248*$t);
$Z0 += 0.00000000156*cos(0.43599559375 + 4459.3682188026*$t);
$Z0 += 0.00000000143*cos(0.19892133285 + 10235.1363755374*$t);
$Z0 += 0.00000000184*cos(1.58017928752 + 8273.8208670324*$t);
$Z0 += 0.00000000133*cos(2.86759235449 + 20618.0193585336*$t);
$Z0 += 0.00000000151*cos(1.59809012076 + 13892.1406718938*$t);
$Z0 += 0.00000000133*cos(6.14918807002 + 17277.4069318338*$t);
$Z0 += 0.00000000167*cos(0.94707767481 + 3274.1250177854*$t);
$Z0 += 0.00000000143*cos(4.48621138334 + 632.7837393132*$t);
$Z0 += 0.00000000126*cos(4.54286582844 + 3914.9572250346*$t);
$Z0 += 0.00000000145*cos(2.88581037055 + 4392.8808098882*$t);
$Z0 += 0.00000000165*cos(5.44939669734 + 1228.9621133222*$t);
$Z0 += 0.00000000124*cos(2.73197400851 + 3407.0998356142*$t);
$Z0 += 0.00000000145*cos(5.65866985683 + 4407.1079038898*$t);
$Z0 += 0.00000000164*cos(2.20529053904 + 38.1330356378*$t);
$Z0 += 0.00000000158*cos(1.72206104768 + 3296.8935143948*$t);
$Z0 += 0.00000000116*cos(0.02904609570 + 26482.1708096244*$t);
$Z0 += 0.00000000156*cos(1.25691413032 + 3384.3313390048*$t);
$Z0 += 0.00000000117*cos(4.96153079924 + 3981.490034082*$t);
$Z0 += 0.00000000154*cos(2.17255031800 + 1964.838626854*$t);
$Z0 += 0.00000000113*cos(3.06854044437 + 206.1855484372*$t);
$Z0 += 0.00000000117*cos(2.13763640035 + 29424.634232916*$t);
$Z0 += 0.00000000129*cos(2.20198223551 + 3450.8187479192*$t);
$Z0 += 0.00000000115*cos(5.24850953150 + 3237.5196524812*$t);
$Z0 += 0.00000000112*cos(6.26358102825 + 2125.8774073792*$t);
$Z0 += 0.00000000112*cos(4.67861613977 + 2807.3983432562*$t);
$Z0 += 0.00000000115*cos(0.38603739544 + 12721.572099417*$t);
$Z0 += 0.00000000113*cos(1.36558076768 + 6709.6740408674*$t);
$Z0 += 0.00000000144*cos(0.22567806033 + 263.0839233728*$t);
$Z0 += 0.00000000109*cos(5.27187307952 + 5518.7501489918*$t);
$Z0 += 0.00000000125*cos(2.20397088123 + 30220.9322397324*$t);
$Z0 += 0.00000000108*cos(6.20219802547 + 6665.9723822146*$t);
$Z0 += 0.00000000127*cos(2.68652319514 + 7321.1221397136*$t);
$Z0 += 0.00000000110*cos(0.18586807658 + 29822.7832363242*$t);
$Z0 += 0.00000000107*cos(0.50226646577 + 22743.4093795164*$t);
$Z0 += 0.00000000107*cos(3.59856046864 + 5989.0672521728*$t);
$Z0 += 0.00000000106*cos(5.69966166034 + 33561.5446664322*$t);
$Z0 += 0.00000000105*cos(3.97375976080 + 9380.9596727172*$t);
return $Z0;
}
function Mars_Z1($t) // 252 terms of order 1
{
$Z1 = 0.00533220761*cos(5.37045188878 + 3340.6124266998*$t);
$Z1 -= 0.00032258788;
$Z1 += 0.00007302119*cos(5.48197049223 + 6681.2248533996*$t);
$Z1 += 0.00000777092*cos(3.20452658315 + 10021.8372800994*$t);
$Z1 += 0.00000166695*cos(3.41487685068 + 13362.4497067992*$t);
$Z1 += 0.00000156044*cos(0.77594576545 + 3337.0893083508*$t);
$Z1 += 0.00000052883*cos(2.55566894166 + 2281.2304965106*$t);
$Z1 += 0.00000042031*cos(6.05247110697 + 529.6909650946*$t);
$Z1 += 0.00000031177*cos(3.47957118843 + 5621.8429232104*$t);
$Z1 += 0.00000024541*cos(3.72250523350 + 16703.062133499*$t);
$Z1 += 0.00000025907*cos(4.79004064527 + 3344.1355450488*$t);
$Z1 += 0.00000023800*cos(2.78437789651 + 3340.5951730476*$t);
$Z1 += 0.00000017724*cos(0.33832536017 + 398.1490034082*$t);
$Z1 += 0.00000024098*cos(0.26741008281 + 2942.4634232916*$t);
$Z1 += 0.00000023800*cos(4.81514959722 + 3340.629680352*$t);
$Z1 += 0.00000017059*cos(1.42825204765 + 6151.533888305*$t);
$Z1 += 0.00000019956*cos(1.69346504279 + 3532.0606928114*$t);
$Z1 += 0.00000015117*cos(1.79886272527 + 2544.3144198834*$t);
$Z1 += 0.00000013619*cos(6.03064463759 + 2810.9214616052*$t);
$Z1 += 0.00000013681*cos(4.34937268643 + 3496.032826134*$t);
$Z1 += 0.00000009980*cos(0.97276584150 + 6677.7017350506*$t);
$Z1 += 0.00000011657*cos(2.25529456107 + 5884.9268465832*$t);
$Z1 += 0.00000009888*cos(4.14137402777 + 1059.3819301892*$t);
$Z1 += 0.00000008253*cos(3.93247597797 + 8962.4553499102*$t);
$Z1 += 0.00000008936*cos(0.03236493895 + 3185.1920272656*$t);
$Z1 += 0.00000007843*cos(0.86090694397 + 3340.545116397*$t);
$Z1 += 0.00000007463*cos(0.85796039982 + 6283.0758499914*$t);
$Z1 += 0.00000007838*cos(0.45374819664 + 3340.6797370026*$t);
$Z1 += 0.00000006532*cos(3.46604878226 + 5092.1519581158*$t);
$Z1 += 0.00000007000*cos(2.91161281175 + 1751.539531416*$t);
$Z1 += 0.00000006215*cos(4.29108610819 + 6684.7479717486*$t);
$Z1 += 0.00000005486*cos(3.73127537680 + 5486.777843175*$t);
$Z1 += 0.00000004744*cos(3.11292686055 + 3339.6321056316*$t);
$Z1 += 0.00000004768*cos(1.11702153656 + 2914.0142358238*$t);
$Z1 += 0.00000003697*cos(5.07727152864 + 5088.6288397668*$t);
$Z1 += 0.00000003696*cos(5.17619762565 + 796.2980068164*$t);
$Z1 += 0.00000004194*cos(1.30289365634 + 3738.761430108*$t);
$Z1 += 0.00000003104*cos(2.90264842875 + 3894.1818295422*$t);
$Z1 += 0.00000003078*cos(3.23232337445 + 2146.1654164752*$t);
$Z1 += 0.00000003060*cos(1.47684271283 + 3870.3033917944*$t);
$Z1 += 0.00000003279*cos(4.04708484838 + 20043.6745601988*$t);
$Z1 += 0.00000002645*cos(6.20328748216 + 213.299095438*$t);
$Z1 += 0.00000002591*cos(5.67618677721 + 1592.5960136328*$t);
$Z1 += 0.00000002686*cos(2.27518970275 + 3149.1641605882*$t);
$Z1 += 0.00000003065*cos(5.50490756275 + 3127.3133312618*$t);
$Z1 += 0.00000002618*cos(1.49434953131 + 4292.3308329504*$t);
$Z1 += 0.00000002929*cos(0.13035493149 + 4690.4798363586*$t);
$Z1 += 0.00000002433*cos(0.83360306332 + 1194.4470102246*$t);
$Z1 += 0.00000001893*cos(1.44037290348 + 2787.0430238574*$t);
$Z1 += 0.00000002056*cos(2.69646867769 + 4136.9104335162*$t);
$Z1 += 0.00000001896*cos(4.12121426717 + 3723.508958923*$t);
$Z1 += 0.00000001810*cos(1.25670128975 + 3341.592747768*$t);
$Z1 += 0.00000001948*cos(4.26663375622 + 1990.745017041*$t);
$Z1 += 0.00000002146*cos(2.79934106364 + 6254.6266625236*$t);
$Z1 += 0.00000001699*cos(5.88106551599 + 3097.88382272579*$t);
$Z1 += 0.00000001644*cos(2.85985547231 + 2388.8940204492*$t);
$Z1 += 0.00000001210*cos(3.52826008702 + 155.4203994342*$t);
$Z1 += 0.00000001638*cos(4.23138744183 + 8432.7643848156*$t);
$Z1 += 0.00000001151*cos(4.07168420281 + 7.1135470008*$t);
$Z1 += 0.00000001111*cos(0.33771745106 + 2957.7158944766*$t);
$Z1 += 0.00000001375*cos(4.90390057340 + 3583.3410306738*$t);
$Z1 += 0.00000001075*cos(2.89446881499 + 1589.0728952838*$t);
$Z1 += 0.00000000994*cos(1.22724079631 + 4535.0594369244*$t);
$Z1 += 0.00000000973*cos(2.54415383282 + 9225.539273283*$t);
$Z1 += 0.00000001053*cos(2.17507915001 + 2288.3440435114*$t);
$Z1 += 0.00000001234*cos(1.07118451631 + 4399.994356889*$t);
$Z1 += 0.00000000937*cos(0.33440700581 + 6674.1113063988*$t);
$Z1 += 0.00000000964*cos(0.92522802179 + 6467.9257579616*$t);
$Z1 += 0.00000001180*cos(1.46657018316 + 3333.498879699*$t);
$Z1 += 0.00000001149*cos(4.46586649175 + 10025.3603984484*$t);
$Z1 += 0.00000000787*cos(4.21744543042 + 426.598190876*$t);
$Z1 += 0.00000000734*cos(1.59169132873 + 9492.1463150048*$t);
$Z1 += 0.00000000744*cos(3.21417897895 + 1221.8485663214*$t);
$Z1 += 0.00000000850*cos(1.84579754127 + 10213.285546211*$t);
$Z1 += 0.00000000960*cos(0.37818281067 + 6525.8044539654*$t);
$Z1 += 0.00000000748*cos(3.14653223844 + 6489.776587288*$t);
$Z1 += 0.00000000939*cos(3.74411147052 + 4562.4609930212*$t);
$Z1 += 0.00000000816*cos(4.88051263913 + 3361.3878221922*$t);
$Z1 += 0.00000000670*cos(1.82692939869 + 3325.3599555148*$t);
$Z1 += 0.00000000787*cos(4.62073861040 + 1748.016413067*$t);
$Z1 += 0.00000000746*cos(2.72473273276 + 3319.8370312074*$t);
$Z1 += 0.00000000615*cos(3.00346220351 + 7477.522860216*$t);
$Z1 += 0.00000000612*cos(0.94873589103 + 10018.3141617504*$t);
$Z1 += 0.00000000726*cos(4.21670769259 + 1052.2683831884*$t);
$Z1 += 0.00000000562*cos(2.51075037144 + 2274.1169495098*$t);
$Z1 += 0.00000000676*cos(5.46592420299 + 3205.5473466644*$t);
$Z1 += 0.00000000652*cos(4.92680960161 + 6681.2421070518*$t);
$Z1 += 0.00000000580*cos(1.95948510974 + 3553.9115221378*$t);
$Z1 += 0.00000000620*cos(4.53706892447 + 3360.96774609859*$t);
$Z1 += 0.00000000568*cos(4.48134936442 + 6836.6452528338*$t);
$Z1 += 0.00000000516*cos(3.66568073238 + 1066.49547719*$t);
$Z1 += 0.00000000652*cos(2.89603807936 + 6681.2075997474*$t);
$Z1 += 0.00000000528*cos(3.91265871028 + 6041.3275670856*$t);
$Z1 += 0.00000000590*cos(2.14286730936 + 553.5694028424*$t);
$Z1 += 0.00000000481*cos(3.65133581406 + 3337.021998048*$t);
$Z1 += 0.00000000486*cos(0.03539800900 + 522.5774180938*$t);
$Z1 += 0.00000000479*cos(4.08237627559 + 3344.2028553516*$t);
$Z1 += 0.00000000491*cos(3.26656040639 + 382.8965322232*$t);
$Z1 += 0.00000000599*cos(3.48114565787 + 191.4482661116*$t);
$Z1 += 0.00000000460*cos(3.60938831179 + 11773.3768115154*$t);
$Z1 += 0.00000000484*cos(4.53788344821 + 7079.3738568078*$t);
$Z1 += 0.00000000457*cos(4.49932663564 + 242.728603974*$t);
$Z1 += 0.00000000410*cos(3.93129679071 + 12303.06777661*$t);
$Z1 += 0.00000000432*cos(0.62719640964 + 5614.7293762096*$t);
$Z1 += 0.00000000415*cos(5.78715397470 + 1349.8674096588*$t);
$Z1 += 0.00000000449*cos(6.07546222965 + 4933.2084403326*$t);
$Z1 += 0.00000000414*cos(0.76551632852 + 951.7184062506*$t);
$Z1 += 0.00000000477*cos(6.15909631316 + 3320.257107301*$t);
$Z1 += 0.00000000421*cos(4.37788398088 + 23384.2869868986*$t);
$Z1 += 0.00000000418*cos(6.18476783317 + 6438.4962494256*$t);
$Z1 += 0.00000000482*cos(3.91728938067 + 8827.3902698748*$t);
$Z1 += 0.00000000365*cos(2.58064909826 + 3355.8648978848*$t);
$Z1 += 0.00000000333*cos(3.42873039925 + 6680.2445323314*$t);
$Z1 += 0.00000000330*cos(3.24081124683 + 9595.2390892234*$t);
$Z1 += 0.00000000317*cos(1.00610206365 + 9623.6882766912*$t);
$Z1 += 0.00000000365*cos(5.85846191272 + 639.897286314*$t);
$Z1 += 0.00000000293*cos(1.52957859377 + 7740.6067835888*$t);
$Z1 += 0.00000000331*cos(0.22404636497 + 2700.7151403858*$t);
$Z1 += 0.00000000255*cos(3.99432797748 + 2921.1277828246*$t);
$Z1 += 0.00000000304*cos(4.22948972595 + 3312.163239232*$t);
$Z1 += 0.00000000328*cos(2.40258646743 + 2118.7638603784*$t);
$Z1 += 0.00000000236*cos(3.40020727050 + 1758.6530784168*$t);
$Z1 += 0.00000000251*cos(5.66519309695 + 536.8045120954*$t);
$Z1 += 0.00000000237*cos(1.24529852403 + 3364.4908644476*$t);
$Z1 += 0.00000000214*cos(0.56442646442 + 6681.2921637024*$t);
$Z1 += 0.00000000245*cos(1.46405275777 + 4929.6853219836*$t);
$Z1 += 0.00000000261*cos(1.37575395801 + 3347.7259737006*$t);
$Z1 += 0.00000000277*cos(2.45714538470 + 3503.079062832*$t);
$Z1 += 0.00000000257*cos(4.63989625540 + 5331.3574437408*$t);
$Z1 += 0.00000000216*cos(1.78813616163 + 6127.6554505572*$t);
$Z1 += 0.00000000266*cos(1.65519778241 + 6682.2051744678*$t);
$Z1 += 0.00000000204*cos(4.87400049907 + 6144.4203413042*$t);
$Z1 += 0.00000000214*cos(0.97289996058 + 6681.1575430968*$t);
$Z1 += 0.00000000193*cos(2.86664857796 + 7210.9158184942*$t);
$Z1 += 0.00000000189*cos(3.19369904946 + 5729.506447149*$t);
$Z1 += 0.00000000185*cos(4.60022172333 + 12168.0026965746*$t);
$Z1 += 0.00000000184*cos(4.90073216006 + 10419.9862835076*$t);
$Z1 += 0.00000000196*cos(2.02607662846 + 3346.1353510072*$t);
$Z1 += 0.00000000191*cos(4.71901518542 + 13365.9728251482*$t);
$Z1 += 0.00000000174*cos(1.31405252638 + 7064.1213856228*$t);
$Z1 += 0.00000000167*cos(0.99843143165 + 8955.3418029094*$t);
$Z1 += 0.00000000170*cos(1.48043717586 + 7875.6718636242*$t);
$Z1 += 0.00000000197*cos(3.29154622691 + 17654.7805397496*$t);
$Z1 += 0.00000000170*cos(2.88198960502 + 6872.6731195112*$t);
$Z1 += 0.00000000157*cos(2.56733171598 + 3178.1457905676*$t);
$Z1 += 0.00000000148*cos(0.86328445077 + 2699.7348193176*$t);
$Z1 += 0.00000000152*cos(5.23944955455 + 6923.9534573736*$t);
$Z1 += 0.00000000171*cos(3.14240135508 + 3316.733988952*$t);
$Z1 += 0.00000000174*cos(1.48894564475 + 3767.2106175758*$t);
$Z1 += 0.00000000144*cos(3.57581507564 + 9830.3890139878*$t);
$Z1 += 0.00000000140*cos(3.50121767027 + 3077.528503327*$t);
$Z1 += 0.00000000147*cos(0.72898424375 + 2487.4160449478*$t);
$Z1 += 0.00000000165*cos(1.35817246585 + 3.523118349*$t);
$Z1 += 0.00000000171*cos(5.87779648432 + 11769.8536931664*$t);
$Z1 += 0.00000000146*cos(5.13010621713 + 3304.5845600224*$t);
$Z1 += 0.00000000126*cos(4.14449585210 + 3603.6963500726*$t);
$Z1 += 0.00000000150*cos(0.67031927264 + 6298.3283211764*$t);
$Z1 += 0.00000000169*cos(3.37958950467 + 1581.959348283*$t);
$Z1 += 0.00000000132*cos(1.36026397982 + 419.4846438752*$t);
$Z1 += 0.00000000137*cos(3.91255974972 + 7903.073419721*$t);
$Z1 += 0.00000000119*cos(1.11588866360 + 433.7117378768*$t);
$Z1 += 0.00000000116*cos(4.20840451833 + 9381.9399937854*$t);
$Z1 += 0.00000000132*cos(5.61925791338 + 12832.7587417046*$t);
$Z1 += 0.00000000119*cos(3.29620748546 + 10818.1352869158*$t);
$Z1 += 0.00000000139*cos(1.48720938048 + 14712.317116458*$t);
$Z1 += 0.00000000121*cos(3.78071153759 + 1596.1864422846*$t);
$Z1 += 0.00000000116*cos(0.71600721713 + 9866.4168806652*$t);
$Z1 += 0.00000000107*cos(2.41569477061 + 2648.454825473*$t);
$Z1 += 0.00000000141*cos(1.40883592065 + 3336.7310913418*$t);
$Z1 += 0.00000000124*cos(5.27111992916 + 853.196381752*$t);
$Z1 += 0.00000000120*cos(0.24314469015 + 3863.1898447936*$t);
$Z1 += 0.00000000106*cos(1.89681319705 + 3475.6775067352*$t);
$Z1 += 0.00000000104*cos(0.61683878316 + 10021.8200264472*$t);
$Z1 += 0.00000000099*cos(2.78700157494 + 10575.4066829418*$t);
$Z1 += 0.00000000100*cos(1.75288902946 + 8429.2412664666*$t);
$Z1 += 0.00000000105*cos(3.95535664942 + 11243.6858464208*$t);
$Z1 += 0.00000000104*cos(2.64763687393 + 10021.8545337516*$t);
$Z1 += 0.00000000097*cos(3.70870547299 + 4032.7700279266*$t);
$Z1 += 0.00000000099*cos(0.46508871986 + 149.5631971346*$t);
$Z1 += 0.00000000094*cos(0.92726193663 + 7632.9432596502*$t);
$Z1 += 0.00000000098*cos(1.72351303556 + 18052.9295431578*$t);
$Z1 += 0.00000000108*cos(2.41308938131 + 7234.794256242*$t);
$Z1 += 0.00000000093*cos(2.12448381740 + 6688.3384004004*$t);
$Z1 += 0.00000000106*cos(4.22500281625 + 6158.6474353058*$t);
$Z1 += 0.00000000109*cos(3.05520401747 + 640.8776073822*$t);
$Z1 += 0.00000000110*cos(0.14136188594 + 5628.9564702112*$t);
$Z1 += 0.00000000112*cos(3.90540165638 + 6894.5239488376*$t);
$Z1 += 0.00000000077*cos(3.42693027158 + 1744.4259844152*$t);
$Z1 += 0.00000000083*cos(0.48188810071 + 8969.568896911*$t);
$Z1 += 0.00000000078*cos(3.48895806928 + 7373.3824546264*$t);
$Z1 += 0.00000000098*cos(1.09842815785 + 5085.038411115*$t);
$Z1 += 0.00000000087*cos(5.57913927474 + 3376.6402933772*$t);
$Z1 += 0.00000000071*cos(0.19809257252 + 3980.5097130138*$t);
$Z1 += 0.00000000072*cos(4.45423986754 + 17256.6315363414*$t);
$Z1 += 0.00000000082*cos(0.70225541331 + 9808.5381846614*$t);
$Z1 += 0.00000000075*cos(1.88840044542 + 15643.6802033098*$t);
$Z1 += 0.00000000071*cos(4.47046372301 + 10177.2576795336*$t);
$Z1 += 0.00000000070*cos(3.37789486799 + 13517.8701062334*$t);
$Z1 += 0.00000000075*cos(2.27088357802 + 12566.1516999828*$t);
$Z1 += 0.00000000066*cos(0.13337760475 + 15110.4661198662*$t);
$Z1 += 0.00000000080*cos(1.32412177054 + 21393.5419698576*$t);
$Z1 += 0.00000000076*cos(3.32363330267 + 13916.0191096416*$t);
$Z1 += 0.00000000067*cos(4.66693287754 + 5828.0284716476*$t);
$Z1 += 0.00000000063*cos(6.16425576512 + 3914.9572250346*$t);
$Z1 += 0.00000000073*cos(3.44104044998 + 692.1576012268*$t);
$Z1 += 0.00000000064*cos(5.11183842129 + 3191.0492295652*$t);
$Z1 += 0.00000000076*cos(4.86164511219 + 20597.2439630412*$t);
$Z1 += 0.00000000061*cos(1.44371703655 + 11081.2192102886*$t);
$Z1 += 0.00000000060*cos(1.62689158397 + 3335.0895023924*$t);
$Z1 += 0.00000000075*cos(4.78215371632 + 12964.300703391*$t);
$Z1 += 0.00000000061*cos(3.35711733735 + 20995.3929664494*$t);
$Z1 += 0.00000000053*cos(6.24589101777 + 20199.094959633*$t);
$Z1 += 0.00000000055*cos(0.28321587193 + 5459.3762870782*$t);
$Z1 += 0.00000000052*cos(4.94957858677 + 24734.1543965574*$t);
$Z1 += 0.00000000051*cos(3.29132317156 + 15113.9892382152*$t);
$Z1 += 0.00000000068*cos(3.59488057957 + 103.0927742186*$t);
$Z1 += 0.00000000057*cos(2.70607036374 + 10713.9948813262*$t);
$Z1 += 0.00000000060*cos(3.00951950244 + 3344.4937620578*$t);
$Z1 += 0.00000000065*cos(2.78876221132 + 3981.490034082*$t);
$Z1 += 0.00000000049*cos(3.13153581502 + 2766.267628365*$t);
$Z1 += 0.00000000049*cos(2.33304379441 + 6660.4494579072*$t);
$Z1 += 0.00000000060*cos(4.17222973491 + 4407.1079038898*$t);
$Z1 += 0.00000000049*cos(0.10301634940 + 13358.9265884502*$t);
$Z1 += 0.00000000046*cos(0.97092241478 + 8270.2977486834*$t);
$Z1 += 0.00000000061*cos(1.61644555817 + 14314.1681130498*$t);
$Z1 += 0.00000000057*cos(4.04165606796 + 1648.4467571974*$t);
$Z1 += 0.00000000060*cos(0.05239748726 + 8273.8208670324*$t);
$Z1 += 0.00000000044*cos(5.68073325802 + 3329.97576135*$t);
$Z1 += 0.00000000044*cos(0.43949269085 + 3351.2490920496*$t);
$Z1 += 0.00000000043*cos(4.87531812567 + 10021.7699697966*$t);
$Z1 += 0.00000000048*cos(1.42334455474 + 76.2660712756*$t);
$Z1 += 0.00000000045*cos(4.07917825234 + 1692.1656695024*$t);
$Z1 += 0.00000000046*cos(3.33348460172 + 3369.0616141676*$t);
$Z1 += 0.00000000045*cos(5.89893308094 + 2818.035008606*$t);
$Z1 += 0.00000000046*cos(1.69497220340 + 10404.7338123226*$t);
$Z1 += 0.00000000041*cos(5.80219476378 + 6702.000248892*$t);
$Z1 += 0.00000000040*cos(5.47626814223 + 3074.005384978*$t);
$Z1 += 0.00000000044*cos(5.36428737888 + 2707.8286873866*$t);
$Z1 += 0.00000000037*cos(0.64022063667 + 3607.2194684216*$t);
$Z1 += 0.00000000043*cos(4.47402411722 + 10021.9045904022*$t);
$Z1 += 0.00000000034*cos(3.20375305228 + 5099.2655051166*$t);
$Z1 += 0.00000000034*cos(5.74767895336 + 6531.661656265*$t);
$Z1 += 0.00000000032*cos(4.71476653314 + 16173.3711684044*$t);
$Z1 += 0.00000000035*cos(4.78248662801 + 10551.528245194*$t);
$Z1 += 0.00000000031*cos(2.45682708815 + 10973.55568635*$t);
$Z1 += 0.00000000036*cos(2.89209321078 + 3333.5661900018*$t);
$Z1 += 0.00000000031*cos(3.61192484167 + 6684.8152820514*$t);
$Z1 += 0.00000000041*cos(4.63075392785 + 8031.0922630584*$t);
$Z1 += 0.00000000032*cos(3.03761491100 + 12935.8515159232*$t);
$Z1 += 0.00000000038*cos(0.87141658782 + 3973.396166013*$t);
$Z1 += 0.00000000040*cos(3.89104366040 + 74.7815985673*$t);
$Z1 += 0.00000000028*cos(3.07347183013 + 3281.2385647862*$t);
return $Z1*$t;
}
function Mars_Z2($t) // 133 terms of order 2
{
$Z2 = 0.00025937973*cos(0.59444055009 + 3340.6124266998*$t);
$Z2 -= 0.00011396105;
$Z2 += 0.00000237211*cos(5.64509583638 + 6681.2248533996*$t);
$Z2 += 0.00000018120*cos(2.24234887624 + 3337.0893083508*$t);
$Z2 += 0.00000011005*cos(0.65490267432 + 10021.8372800994*$t);
$Z2 += 0.00000009574*cos(1.87721957302 + 13362.4497067992*$t);
$Z2 += 0.00000004373*cos(5.89380048765 + 3496.032826134*$t);
$Z2 += 0.00000002387*cos(1.18064647446 + 2281.2304965106*$t);
$Z2 += 0.00000002425*cos(2.24521403500 + 16703.062133499*$t);
$Z2 += 0.00000002528*cos(5.16130960942 + 5621.8429232104*$t);
$Z2 += 0.00000001966*cos(1.32977724844 + 529.6909650946*$t);
$Z2 += 0.00000002006*cos(4.80335600212 + 3185.1920272656*$t);
$Z2 += 0.00000002202*cos(3.18250102468 + 3532.0606928114*$t);
$Z2 += 0.00000001723*cos(3.39265057715 + 2544.3144198834*$t);
$Z2 += 0.00000002050*cos(1.83403249506 + 2942.4634232916*$t);
$Z2 += 0.00000001453*cos(0.37005682859 + 3344.1355450488*$t);
$Z2 += 0.00000001154*cos(4.29461877948 + 3340.5951730476*$t);
$Z2 += 0.00000000942*cos(5.17754009029 + 5486.777843175*$t);
$Z2 += 0.00000001154*cos(0.04220516563 + 3340.629680352*$t);
$Z2 += 0.00000001059*cos(3.80803028238 + 5884.9268465832*$t);
$Z2 += 0.00000000802*cos(4.47943934542 + 3894.1818295422*$t);
$Z2 += 0.00000000790*cos(2.35155821746 + 6677.7017350506*$t);
$Z2 += 0.00000000825*cos(4.68895461946 + 3339.6321056316*$t);
$Z2 += 0.00000000712*cos(0.32050354263 + 5088.6288397668*$t);
$Z2 += 0.00000000708*cos(3.10465264690 + 6151.533888305*$t);
$Z2 += 0.00000000753*cos(1.05772254525 + 3097.88382272579*$t);
$Z2 += 0.00000000681*cos(5.28693721347 + 2810.9214616052*$t);
$Z2 += 0.00000000576*cos(2.00619713133 + 398.1490034082*$t);
$Z2 += 0.00000000534*cos(4.77461983159 + 2146.1654164752*$t);
$Z2 += 0.00000000558*cos(4.73319922901 + 5092.1519581158*$t);
$Z2 += 0.00000000532*cos(3.07796101643 + 4292.3308329504*$t);
$Z2 += 0.00000000431*cos(5.63787706168 + 3723.508958923*$t);
$Z2 += 0.00000000486*cos(1.71152918305 + 4690.4798363586*$t);
$Z2 += 0.00000000395*cos(5.46836844513 + 8962.4553499102*$t);
$Z2 += 0.00000000380*cos(2.37265090321 + 3340.545116397*$t);
$Z2 += 0.00000000379*cos(2.21710594361 + 6283.0758499914*$t);
$Z2 += 0.00000000380*cos(1.96415613563 + 3340.6797370026*$t);
$Z2 += 0.00000000455*cos(2.58588447058 + 20043.6745601988*$t);
$Z2 += 0.00000000340*cos(6.21625640724 + 2787.0430238574*$t);
$Z2 += 0.00000000347*cos(3.54462815350 + 3583.3410306738*$t);
$Z2 += 0.00000000287*cos(4.23196046901 + 3333.498879699*$t);
$Z2 += 0.00000000233*cos(5.05398236760 + 155.4203994342*$t);
$Z2 += 0.00000000230*cos(1.34020611446 + 3127.3133312618*$t);
$Z2 += 0.00000000236*cos(2.56255875970 + 6684.7479717486*$t);
$Z2 += 0.00000000260*cos(6.15858109011 + 1748.016413067*$t);
$Z2 += 0.00000000206*cos(3.72535272141 + 1059.3819301892*$t);
$Z2 += 0.00000000248*cos(5.15522357344 + 6525.8044539654*$t);
$Z2 += 0.00000000192*cos(0.80270977901 + 2288.3440435114*$t);
$Z2 += 0.00000000204*cos(4.67148878659 + 6254.6266625236*$t);
$Z2 += 0.00000000240*cos(1.10355321364 + 2388.8940204492*$t);
$Z2 += 0.00000000178*cos(2.70046492113 + 1990.745017041*$t);
$Z2 += 0.00000000151*cos(4.03002963282 + 1592.5960136328*$t);
$Z2 += 0.00000000171*cos(1.51083272272 + 1751.539531416*$t);
$Z2 += 0.00000000178*cos(5.84283595443 + 2914.0142358238*$t);
$Z2 += 0.00000000136*cos(5.31523052413 + 3738.761430108*$t);
$Z2 += 0.00000000136*cos(1.17176449808 + 1349.8674096588*$t);
$Z2 += 0.00000000118*cos(1.93283002344 + 6674.1113063988*$t);
$Z2 += 0.00000000114*cos(5.86339475096 + 3341.592747768*$t);
$Z2 += 0.00000000136*cos(1.41161175400 + 6438.4962494256*$t);
$Z2 += 0.00000000109*cos(5.09540016416 + 2957.7158944766*$t);
$Z2 += 0.00000000114*cos(2.87540718990 + 242.728603974*$t);
$Z2 += 0.00000000122*cos(4.72332419375 + 2274.1169495098*$t);
$Z2 += 0.00000000116*cos(5.94036127941 + 6836.6452528338*$t);
$Z2 += 0.00000000101*cos(2.47526676901 + 951.7184062506*$t);
$Z2 += 0.00000000091*cos(2.24799296656 + 7.1135470008*$t);
$Z2 += 0.00000000101*cos(3.67031931828 + 553.5694028424*$t);
$Z2 += 0.00000000085*cos(4.86490039033 + 796.2980068164*$t);
$Z2 += 0.00000000083*cos(4.64956502978 + 4562.4609930212*$t);
$Z2 += 0.00000000095*cos(3.01019726572 + 10025.3603984484*$t);
$Z2 += 0.00000000082*cos(2.24784970600 + 213.299095438*$t);
$Z2 += 0.00000000072*cos(2.91435793605 + 23384.2869868986*$t);
$Z2 += 0.00000000070*cos(5.55642055050 + 1066.49547719*$t);
$Z2 += 0.00000000063*cos(2.72606022638 + 8955.3418029094*$t);
$Z2 += 0.00000000058*cos(4.22927578363 + 7210.9158184942*$t);
$Z2 += 0.00000000060*cos(5.55658292278 + 6041.3275670856*$t);
$Z2 += 0.00000000071*cos(3.27534690079 + 1589.0728952838*$t);
$Z2 += 0.00000000056*cos(3.44816851943 + 3325.3599555148*$t);
$Z2 += 0.00000000063*cos(3.79468594256 + 3870.3033917944*$t);
$Z2 += 0.00000000057*cos(4.55390406368 + 4933.2084403326*$t);
$Z2 += 0.00000000049*cos(4.29985057106 + 3355.8648978848*$t);
$Z2 += 0.00000000048*cos(1.97226084372 + 10018.3141617504*$t);
$Z2 += 0.00000000047*cos(5.89481794819 + 4535.0594369244*$t);
$Z2 += 0.00000000053*cos(6.14813219827 + 3360.96774609859*$t);
$Z2 += 0.00000000045*cos(3.79109648033 + 6923.9534573736*$t);
$Z2 += 0.00000000053*cos(1.49899662719 + 3320.257107301*$t);
$Z2 += 0.00000000047*cos(0.28071441637 + 6127.6554505572*$t);
$Z2 += 0.00000000049*cos(0.19353472631 + 3347.7259737006*$t);
$Z2 += 0.00000000058*cos(5.89204904964 + 1052.2683831884*$t);
$Z2 += 0.00000000045*cos(4.60130468759 + 4399.994356889*$t);
$Z2 += 0.00000000038*cos(3.96782009416 + 426.598190876*$t);
$Z2 += 0.00000000040*cos(1.57658451682 + 6489.776587288*$t);
$Z2 += 0.00000000037*cos(1.62198165732 + 5729.506447149*$t);
$Z2 += 0.00000000041*cos(1.99669605118 + 2699.7348193176*$t);
$Z2 += 0.00000000048*cos(2.84634781523 + 3149.1641605882*$t);
$Z2 += 0.00000000036*cos(5.09960798057 + 8432.7643848156*$t);
$Z2 += 0.00000000037*cos(0.36652988837 + 6681.2921637024*$t);
$Z2 += 0.00000000039*cos(5.13641267319 + 8969.568896911*$t);
$Z2 += 0.00000000034*cos(4.67496434823 + 1194.4470102246*$t);
$Z2 += 0.00000000043*cos(3.02127238214 + 5331.3574437408*$t);
$Z2 += 0.00000000037*cos(1.53879532057 + 191.4482661116*$t);
$Z2 += 0.00000000039*cos(2.54138775081 + 2118.7638603784*$t);
$Z2 += 0.00000000032*cos(1.49561091356 + 10419.9862835076*$t);
$Z2 += 0.00000000029*cos(1.59835843850 + 7477.522860216*$t);
$Z2 += 0.00000000031*cos(0.15682384975 + 3205.5473466644*$t);
$Z2 += 0.00000000029*cos(0.99282533197 + 522.5774180938*$t);
$Z2 += 0.00000000028*cos(4.76871968197 + 382.8965322232*$t);
$Z2 += 0.00000000028*cos(4.49319887552 + 9866.4168806652*$t);
$Z2 += 0.00000000029*cos(5.20891382825 + 4136.9104335162*$t);
$Z2 += 0.00000000033*cos(2.19423390657 + 6467.9257579616*$t);
$Z2 += 0.00000000028*cos(6.20715072868 + 6682.2051744678*$t);
$Z2 += 0.00000000023*cos(0.54135050421 + 640.8776073822*$t);
$Z2 += 0.00000000026*cos(2.01536526590 + 9492.1463150048*$t);
$Z2 += 0.00000000024*cos(5.95184917338 + 3361.3878221922*$t);
$Z2 += 0.00000000022*cos(3.34551257447 + 13365.9728251482*$t);
$Z2 += 0.00000000024*cos(1.43082762360 + 5614.7293762096*$t);
$Z2 += 0.00000000022*cos(5.01088515186 + 10021.8545337516*$t);
$Z2 += 0.00000000023*cos(0.39604919460 + 536.8045120954*$t);
$Z2 += 0.00000000020*cos(4.75287585505 + 3553.9115221378*$t);
$Z2 += 0.00000000021*cos(6.15131706326 + 7875.6718636242*$t);
$Z2 += 0.00000000019*cos(3.85960262286 + 3319.8370312074*$t);
$Z2 += 0.00000000022*cos(2.98009613873 + 10021.8200264472*$t);
$Z2 += 0.00000000021*cos(5.09018656324 + 6681.2421070518*$t);
$Z2 += 0.00000000019*cos(5.37557953087 + 9623.6882766912*$t);
$Z2 += 0.00000000021*cos(3.05785674731 + 6681.2075997474*$t);
$Z2 += 0.00000000017*cos(5.33111011611 + 6681.1575430968*$t);
$Z2 += 0.00000000016*cos(0.88926952692 + 5628.9564702112*$t);
$Z2 += 0.00000000019*cos(4.38572360867 + 6680.2445323314*$t);
$Z2 += 0.00000000015*cos(3.04079800434 + 3178.1457905676*$t);
$Z2 += 0.00000000018*cos(5.87932589084 + 7740.6067835888*$t);
$Z2 += 0.00000000014*cos(4.19183102447 + 12303.06777661*$t);
$Z2 += 0.00000000014*cos(3.08467357092 + 3503.079062832*$t);
$Z2 += 0.00000000014*cos(4.02054439730 + 3316.733988952*$t);
$Z2 += 0.00000000014*cos(2.10530552076 + 3364.4908644476*$t);
return $Z2*$t*$t;
}
function Mars_Z3($t) // 56 terms of order 3
{
$Z3 = 0.00000897035*cos(1.98437168368 + 3340.6124266998*$t);
$Z3 += 0.00000097387;
$Z3 += 0.00000008489*cos(1.73419562297 + 6681.2248533996*$t);
$Z3 += 0.00000001419*cos(3.74979881372 + 3337.0893083508*$t);
$Z3 += 0.00000000928*cos(3.63625528948 + 10021.8372800994*$t);
$Z3 += 0.00000000926*cos(1.14567082339 + 3496.032826134*$t);
$Z3 += 0.00000000286*cos(0.11838177607 + 13362.4497067992*$t);
$Z3 += 0.00000000276*cos(3.29100886638 + 3185.1920272656*$t);
$Z3 += 0.00000000190*cos(2.55743259713 + 3097.88382272579*$t);
$Z3 += 0.00000000179*cos(4.90901018351 + 2544.3144198834*$t);
$Z3 += 0.00000000186*cos(4.74419057060 + 3532.0606928114*$t);
$Z3 += 0.00000000149*cos(0.69534389042 + 16703.062133499*$t);
$Z3 += 0.00000000133*cos(6.04294120509 + 3894.1818295422*$t);
$Z3 += 0.00000000165*cos(0.31646002710 + 5621.8429232104*$t);
$Z3 += 0.00000000176*cos(3.40942833158 + 2942.4634232916*$t);
$Z3 += 0.00000000094*cos(6.25738949900 + 3339.6321056316*$t);
$Z3 += 0.00000000083*cos(2.80242797318 + 529.6909650946*$t);
$Z3 += 0.00000000079*cos(4.65398630855 + 4292.3308329504*$t);
$Z3 += 0.00000000073*cos(0.02372395336 + 2146.1654164752*$t);
$Z3 += 0.00000000069*cos(1.90616132633 + 3583.3410306738*$t);
$Z3 += 0.00000000059*cos(1.90076914463 + 5088.6288397668*$t);
$Z3 += 0.00000000057*cos(0.91841960965 + 3723.508958923*$t);
$Z3 += 0.00000000066*cos(3.26000189494 + 4690.4798363586*$t);
$Z3 += 0.00000000049*cos(6.24342258336 + 2281.2304965106*$t);
$Z3 += 0.00000000040*cos(0.33925158823 + 5486.777843175*$t);
$Z3 += 0.00000000038*cos(0.33382735668 + 155.4203994342*$t);
$Z3 += 0.00000000037*cos(5.38905349684 + 3340.5951730476*$t);
$Z3 += 0.00000000043*cos(3.67789144879 + 6525.8044539654*$t);
$Z3 += 0.00000000037*cos(1.13663982116 + 3340.629680352*$t);
$Z3 += 0.00000000034*cos(0.54674814571 + 1059.3819301892*$t);
$Z3 += 0.00000000033*cos(3.70799920482 + 6677.7017350506*$t);
$Z3 += 0.00000000042*cos(1.06901082266 + 20043.6745601988*$t);
$Z3 += 0.00000000040*cos(5.18845744550 + 5884.9268465832*$t);
$Z3 += 0.00000000028*cos(5.53170427847 + 3333.498879699*$t);
$Z3 += 0.00000000027*cos(4.74965318878 + 2787.0430238574*$t);
$Z3 += 0.00000000032*cos(2.94765501590 + 398.1490034082*$t);
$Z3 += 0.00000000026*cos(0.80891817293 + 1194.4470102246*$t);
$Z3 += 0.00000000020*cos(5.71161307356 + 5092.1519581158*$t);
$Z3 += 0.00000000014*cos(0.59214435004 + 4399.994356889*$t);
$Z3 += 0.00000000012*cos(0.57596701083 + 1748.016413067*$t);
$Z3 += 0.00000000015*cos(5.61526640204 + 7079.3738568078*$t);
$Z3 += 0.00000000014*cos(4.18010272073 + 6151.533888305*$t);
$Z3 += 0.00000000012*cos(5.88319051616 + 1592.5960136328*$t);
$Z3 += 0.00000000012*cos(3.74719789330 + 242.728603974*$t);
$Z3 += 0.00000000011*cos(3.77687231272 + 2274.1169495098*$t);
$Z3 += 0.00000000011*cos(3.28827114872 + 3738.761430108*$t);
$Z3 += 0.00000000011*cos(6.10972583214 + 23384.2869868986*$t);
$Z3 += 0.00000000010*cos(6.20023805343 + 2288.3440435114*$t);
$Z3 += 0.00000000011*cos(1.61096472294 + 3344.1355450488*$t);
$Z3 += 0.00000000009*cos(2.89522242682 + 553.5694028424*$t);
$Z3 += 0.00000000011*cos(4.21212605505 + 6489.776587288*$t);
$Z3 += 0.00000000008*cos(2.95652295638 + 3127.3133312618*$t);
$Z3 += 0.00000000007*cos(0.49773686048 + 6684.7479717486*$t);
$Z3 += 0.00000000007*cos(5.43009944036 + 4933.2084403326*$t);
$Z3 += 0.00000000007*cos(2.19921948725 + 6438.4962494256*$t);
$Z3 += 0.00000000009*cos(3.04008808528 + 7.1135470008*$t);
return $Z3*$t*$t*$t;
}
function Mars_Z4($t) // 20 terms of order 4
{
$Z4 = 0.00000030554;
$Z4 += 0.00000019442*cos(3.44959674542 + 3340.6124266998*$t);
$Z4 += 0.00000000371*cos(0.36613555151 + 6681.2248533996*$t);
$Z4 += 0.00000000155*cos(2.66185835593 + 3496.032826134*$t);
$Z4 += 0.00000000081*cos(5.27888218929 + 3337.0893083508*$t);
$Z4 += 0.00000000073*cos(1.31158212762 + 10021.8372800994*$t);
$Z4 += 0.00000000034*cos(4.09971603267 + 3097.88382272579*$t);
$Z4 += 0.00000000033*cos(1.76655964001 + 3185.1920272656*$t);
$Z4 += 0.00000000015*cos(0.95989595600 + 3894.1818295422*$t);
$Z4 += 0.00000000009*cos(0.31833513882 + 3583.3410306738*$t);
$Z4 += 0.00000000006*cos(3.76221637426 + 6684.7479717486*$t);
$Z4 += 0.00000000006*cos(1.44439054717 + 2787.0430238574*$t);
$Z4 += 0.00000000008*cos(1.39569739639 + 3344.1355450488*$t);
$Z4 += 0.00000000006*cos(5.83516395431 + 3532.0606928114*$t);
$Z4 += 0.00000000006*cos(5.97538779583 + 2544.3144198834*$t);
$Z4 += 0.00000000005*cos(5.41788972302 + 16703.062133499*$t);
$Z4 += 0.00000000006*cos(1.96708787649 + 6525.8044539654*$t);
$Z4 += 0.00000000004*cos(5.61196522691 + 4292.3308329504*$t);
$Z4 += 0.00000000004*cos(4.54689889636 + 2942.4634232916*$t);
$Z4 += 0.00000000005*cos(2.79859082923 + 13362.4497067992*$t);
return $Z4*$t*$t*$t*$t;
}
function Mars_Z5($t) // 7 terms of order 5
{
$Z5 = 0.00000000597*cos(4.83347154755 + 3340.6124266998*$t);
$Z5 += 0.00000000028*cos(5.25340658633 + 6681.2248533996*$t);
$Z5 += 0.00000000021*cos(4.17736925293 + 3496.032826134*$t);
$Z5 += 0.00000000011;
$Z5 += 0.00000000006*cos(5.72895319056 + 10021.8372800994*$t);
$Z5 += 0.00000000002*cos(0.08188351604 + 16703.062133499*$t);
$Z5 += 0.00000000003*cos(0.40135650339 + 3185.1920272656*$t);
return $Z5*$t*$t*$t*$t*$t;
}
?>