<?PHP
/*
******************************************************
NEPTUNE
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: 4000 BC to 8000 AD
Written in PHP v5.2.5
This source code is released to the public domain.
Jay Tanner
VSOP87@NeoProgrammics.com
******************************************************
*/
function Neptune_hXYZR($JDArg)
{
// Compute time in Julian millennia from J2000.0
$t = ($JDArg - 2451545.0) / 365250.0;
// Compute the heliocentric coordinates for time ($t).
$hX = Neptune_X0($t) + Neptune_X1($t) + Neptune_X2($t)
+ Neptune_X3($t) + Neptune_X4($t) + Neptune_X5($t);
$hY = Neptune_Y0($t) + Neptune_Y1($t) + Neptune_Y2($t)
+ Neptune_Y3($t) + Neptune_Y4($t) + Neptune_Y5($t);
$hZ = Neptune_Z0($t) + Neptune_Z1($t) + Neptune_Z2($t)
+ Neptune_Z3($t) + Neptune_Z4($t) + Neptune_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 $hR";
}
/*
Neptune - VSOP87 Series Version C - Rectangular (X,Y,Z) Coordinates
X = X-Coordinate in AU (Astronomical Units)
Y = Y-Coordinate in AU
Z = Z-Coordinate in AU
R*R = (X*X + Y*Y + Z*Z)
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
PHP Language
VSOP87 Functions Source Code
Generated By NeoProgrammics VSOP87 Code Generator
(c) Jay Tanner 2008
Ref:
Astronomy & Astrophysics
vol. 202, p309-p315
Pierre Bretagnon, Gerard Francou
1988
*/
function Neptune_X0($t) // 821 terms of order 0
{
$X0 = 30.05973100580*cos(5.31188633083 + 38.3768531213*$t);
$X0 += 0.40567587218*cos(3.98149970131 + 0.2438174835*$t);
$X0 += 0.13506026414*cos(3.50055820972 + 76.50988875911*$t);
$X0 += 0.15716341901*cos(0.11310077968 + 36.892380413*$t);
$X0 += 0.14935642614*cos(1.08477702063 + 39.86132582961*$t);
$X0 += 0.02590782232*cos(1.99609768221 + 1.7282901918*$t);
$X0 += 0.01073890204*cos(5.38477153556 + 75.0254160508*$t);
$X0 += 0.00816388197*cos(0.78185518038 + 3.21276290011*$t);
$X0 += 0.00702768075*cos(1.45363642119 + 35.40790770471*$t);
$X0 += 0.00687594822*cos(0.72075739344 + 37.88921815429*$t);
$X0 += 0.00565555652*cos(5.98943773879 + 41.3457985379*$t);
$X0 += 0.00495650075*cos(0.59957534348 + 529.9347825781*$t);
$X0 += 0.00306025380*cos(0.39916788140 + 73.5409433425*$t);
$X0 += 0.00272446904*cos(0.87404115637 + 213.5429129215*$t);
$X0 += 0.00135892298*cos(5.54654979922 + 77.9943614674*$t);
$X0 += 0.00122117697*cos(1.30863876781 + 34.9202727377*$t);
$X0 += 0.00090968285*cos(1.68886748674 + 114.6429243969*$t);
$X0 += 0.00068915400*cos(5.83470374400 + 4.6972356084*$t);
$X0 += 0.00040370680*cos(2.66129691063 + 33.9234349964*$t);
$X0 += 0.00028891307*cos(4.78947715515 + 42.83027124621*$t);
$X0 += 0.00029247752*cos(1.62319522731 + 72.05647063421*$t);
$X0 += 0.00025576289*cos(1.48342967006 + 71.5688356672*$t);
$X0 += 0.00020517968*cos(2.55621077117 + 33.43580002939*$t);
$X0 += 0.00012614154*cos(3.56929744338 + 113.15845168861*$t);
$X0 += 0.00012788929*cos(2.73769634046 + 111.67397898031*$t);
$X0 += 0.00012013477*cos(0.94915799508 + 1059.6257476727*$t);
$X0 += 0.00009854638*cos(0.25713641240 + 36.404745446*$t);
$X0 += 0.00008385825*cos(1.65242210861 + 108.2173985967*$t);
$X0 += 0.00007577585*cos(0.09970777629 + 426.8420083595*$t);
$X0 += 0.00006452053*cos(4.62556526073 + 6.1817083167*$t);
$X0 += 0.00006551074*cos(1.91884050790 + 1.24065522479*$t);
$X0 += 0.00004652534*cos(0.10344003066 + 37.8555882595*$t);
$X0 += 0.00004732958*cos(4.09711900918 + 79.47883417571*$t);
$X0 += 0.00004557247*cos(1.09712661798 + 38.89811798311*$t);
$X0 += 0.00004322550*cos(2.37744779374 + 38.32866901151*$t);
$X0 += 0.00004315539*cos(5.10473140788 + 38.4250372311*$t);
$X0 += 0.00004089036*cos(1.99429063701 + 37.4136452748*$t);
$X0 += 0.00004248658*cos(5.63379709294 + 28.81562556571*$t);
$X0 += 0.00004622142*cos(2.73995451568 + 70.08436295889*$t);
$X0 += 0.00003926447*cos(5.48975060892 + 39.34006096781*$t);
$X0 += 0.00003148422*cos(5.18755364576 + 76.0222537921*$t);
$X0 += 0.00003940981*cos(2.29766376691 + 98.6561710411*$t);
$X0 += 0.00003323363*cos(4.68776245279 + 4.4366031775*$t);
$X0 += 0.00003282964*cos(2.81551282614 + 39.3736908626*$t);
$X0 += 0.00003110464*cos(1.84416897204 + 47.9380806769*$t);
$X0 += 0.00002927062*cos(2.83767313961 + 70.5719979259*$t);
$X0 += 0.00002748919*cos(3.86990252936 + 32.4389622881*$t);
$X0 += 0.00003316668*cos(1.82194084200 + 144.8659615262*$t);
$X0 += 0.00002822405*cos(3.78131048254 + 31.9513273211*$t);
$X0 += 0.00002695972*cos(3.85276301548 + 110.189506272*$t);
$X0 += 0.00002522990*cos(4.66308619966 + 311.9552664791*$t);
$X0 += 0.00001888129*cos(3.20464683230 + 35.9291725665*$t);
$X0 += 0.00001648229*cos(4.07040254381 + 30.300098274*$t);
$X0 += 0.00001826545*cos(3.58021128918 + 44.31474395451*$t);
$X0 += 0.00001956241*cos(4.14516146871 + 206.42936592071*$t);
$X0 += 0.00001681257*cos(4.27560127770 + 40.8245336761*$t);
$X0 += 0.00001533383*cos(1.17732213608 + 38.26497853671*$t);
$X0 += 0.00001893076*cos(0.75017402977 + 220.6564599223*$t);
$X0 += 0.00001527526*cos(0.02173638301 + 38.4887277059*$t);
$X0 += 0.00002085691*cos(1.56948272604 + 149.8070146181*$t);
$X0 += 0.00002070612*cos(2.82581806721 + 136.78920667889*$t);
$X0 += 0.00001535699*cos(0.61413315675 + 73.0533083755*$t);
$X0 += 0.00001667976*cos(2.91712458990 + 106.73292588839*$t);
$X0 += 0.00001289620*cos(3.39708861100 + 46.4536079686*$t);
$X0 += 0.00001559811*cos(0.55870841967 + 38.11622069041*$t);
$X0 += 0.00001545705*cos(0.64028776037 + 38.6374855522*$t);
$X0 += 0.00001435033*cos(0.72855949679 + 522.8212355773*$t);
$X0 += 0.00001406206*cos(3.61717027558 + 537.0483295789*$t);
$X0 += 0.00001256446*cos(2.70907758736 + 34.1840674273*$t);
$X0 += 0.00001387973*cos(3.71843398082 + 116.12739710521*$t);
$X0 += 0.00001457739*cos(1.98981635014 + 181.5145244557*$t);
$X0 += 0.00001228429*cos(2.78646343835 + 72.31710306511*$t);
$X0 += 0.00001140665*cos(3.96643713353 + 7.83293736379*$t);
$X0 += 0.00001080801*cos(4.75483465055 + 42.5696388153*$t);
$X0 += 0.00001201409*cos(0.74547986507 + 2.7251279331*$t);
$X0 += 0.00001228671*cos(2.65249731727 + 148.32254190981*$t);
$X0 += 0.00000722014*cos(6.16806714444 + 152.77596003471*$t);
$X0 += 0.00000608545*cos(4.49536985567 + 35.4560918145*$t);
$X0 += 0.00000722865*cos(3.09340262825 + 143.38148881789*$t);
$X0 += 0.00000632820*cos(3.41702130042 + 7.66618102501*$t);
$X0 += 0.00000642369*cos(3.97490787694 + 68.5998902506*$t);
$X0 += 0.00000553789*cos(2.98606728111 + 41.2976144281*$t);
$X0 += 0.00000682276*cos(2.15806346682 + 218.1630873852*$t);
$X0 += 0.00000463186*cos(2.74420554348 + 31.7845709823*$t);
$X0 += 0.00000521560*cos(0.34813640632 + 0.719390363*$t);
$X0 += 0.00000437892*cos(1.29807722623 + 1589.3167127673*$t);
$X0 += 0.00000398091*cos(5.50783691510 + 6.3484646555*$t);
$X0 += 0.00000384065*cos(4.72632236146 + 44.96913526031*$t);
$X0 += 0.00000395583*cos(5.05527677390 + 108.70503356371*$t);
$X0 += 0.00000327446*cos(2.69199709491 + 60.52313540329*$t);
$X0 += 0.00000358824*cos(4.99912098256 + 30.4668546128*$t);
$X0 += 0.00000315179*cos(0.17468500209 + 74.53778108379*$t);
$X0 += 0.00000343384*cos(1.74645896957 + 0.7650823453*$t);
$X0 += 0.00000399611*cos(5.33540800911 + 31.2633061205*$t);
$X0 += 0.00000314611*cos(2.98803024638 + 419.72846135871*$t);
$X0 += 0.00000347596*cos(3.26643963659 + 180.03005174739*$t);
$X0 += 0.00000382279*cos(0.21764578681 + 487.1213262793*$t);
$X0 += 0.00000300918*cos(4.04922612099 + 69.0875252176*$t);
$X0 += 0.00000340448*cos(3.90546849629 + 146.8380692015*$t);
$X0 += 0.00000298710*cos(5.18013539651 + 84.5866436064*$t);
$X0 += 0.00000290629*cos(1.74873675275 + 110.45013870291*$t);
$X0 += 0.00000336211*cos(2.14815098729 + 45.49040012211*$t);
$X0 += 0.00000305606*cos(5.63265481978 + 640.1411037975*$t);
$X0 += 0.00000333702*cos(2.32938316969 + 254.8116503147*$t);
$X0 += 0.00000268060*cos(3.30852201658 + 37.0042549976*$t);
$X0 += 0.00000264760*cos(4.12724058864 + 39.749451245*$t);
$X0 += 0.00000315240*cos(2.72241788492 + 388.70897272171*$t);
$X0 += 0.00000227098*cos(4.59157281152 + 273.8222308413*$t);
$X0 += 0.00000306112*cos(1.75345186469 + 6283.3196674749*$t);
$X0 += 0.00000284373*cos(3.36139825385 + 12.77399045571*$t);
$X0 += 0.00000221105*cos(3.50940363876 + 213.0552779545*$t);
$X0 += 0.00000242568*cos(2.06437650010 + 14.258463164*$t);
$X0 += 0.00000241087*cos(4.16115355874 + 105.2484531801*$t);
$X0 += 0.00000226136*cos(2.83815938853 + 80.963306884*$t);
$X0 += 0.00000245904*cos(0.54462524204 + 27.3311528574*$t);
$X0 += 0.00000265825*cos(4.10952660358 + 944.7390057923*$t);
$X0 += 0.00000207893*cos(5.07812851336 + 30.95448957981*$t);
$X0 += 0.00000214661*cos(2.65402494691 + 316.6356871401*$t);
$X0 += 0.00000190638*cos(2.32667703756 + 69.3963417583*$t);
$X0 += 0.00000246295*cos(1.98638488517 + 102.84895673509*$t);
$X0 += 0.00000202915*cos(0.60029260077 + 415.04804069769*$t);
$X0 += 0.00000176465*cos(0.14731292877 + 36.7805058284*$t);
$X0 += 0.00000193886*cos(3.35476299352 + 174.9222423167*$t);
$X0 += 0.00000175209*cos(1.12575693515 + 39.97320041421*$t);
$X0 += 0.00000177868*cos(3.43923391414 + 216.67861467689*$t);
$X0 += 0.00000138494*cos(5.45265920432 + 75.98862389731*$t);
$X0 += 0.00000152234*cos(4.81662104772 + 11.2895177474*$t);
$X0 += 0.00000147648*cos(1.68543706672 + 151.2914873264*$t);
$X0 += 0.00000156202*cos(3.65252575052 + 146.3504342345*$t);
$X0 += 0.00000152289*cos(0.07345728764 + 23.87457247379*$t);
$X0 += 0.00000177911*cos(3.17643554721 + 10213.5293636945*$t);
$X0 += 0.00000162474*cos(4.13351391379 + 63.9797157869*$t);
$X0 += 0.00000121226*cos(5.10584286197 + 38.16440480021*$t);
$X0 += 0.00000129049*cos(3.80684906955 + 37.1048287341*$t);
$X0 += 0.00000120334*cos(2.37637214462 + 38.5893014424*$t);
$X0 += 0.00000168977*cos(2.49551838497 + 291.4602132442*$t);
$X0 += 0.00000121138*cos(1.49657109299 + 33.26904369061*$t);
$X0 += 0.00000129366*cos(2.36903010922 + 45.7992166628*$t);
$X0 += 0.00000144682*cos(0.63023431786 + 49.42255338521*$t);
$X0 += 0.00000122915*cos(3.67433526761 + 39.6488775085*$t);
$X0 += 0.00000113400*cos(0.42160185021 + 83.1021708981*$t);
$X0 += 0.00000154892*cos(1.74989069653 + 77.4730966056*$t);
$X0 += 0.00000106737*cos(0.57437068095 + 4.8639919472*$t);
$X0 += 0.00000104756*cos(5.96272070512 + 43.484662552*$t);
$X0 += 0.00000125142*cos(5.82780261996 + 4.2096006414*$t);
$X0 += 0.00000103541*cos(5.25634741505 + 41.08516610701*$t);
$X0 += 0.00000133573*cos(3.92147215781 + 182.998997164*$t);
$X0 += 0.00000103627*cos(2.29256111601 + 35.6685401356*$t);
$X0 += 0.00000116874*cos(5.41378396536 + 62.4952430786*$t);
$X0 += 0.00000098063*cos(3.25654027665 + 9.8050450391*$t);
$X0 += 0.00000111411*cos(4.34345309647 + 141.8970161096*$t);
$X0 += 0.00000114294*cos(5.56228935636 + 633.0275567967*$t);
$X0 += 0.00000104705*cos(6.26072139356 + 433.9555553603*$t);
$X0 += 0.00000121306*cos(1.44892345337 + 40.8581635709*$t);
$X0 += 0.00000096954*cos(6.17373469303 + 1052.51220067191*$t);
$X0 += 0.00000085104*cos(4.79018222360 + 36.6799320919*$t);
$X0 += 0.00000085209*cos(5.94497188324 + 105.76971804189*$t);
$X0 += 0.00000085291*cos(2.59495207397 + 109.701871305*$t);
$X0 += 0.00000083260*cos(0.00625676877 + 529.44714761109*$t);
$X0 += 0.00000080200*cos(2.69199769694 + 40.07377415071*$t);
$X0 += 0.00000107927*cos(0.01570870082 + 1162.7185218913*$t);
$X0 += 0.00000095241*cos(3.61102256601 + 253.32717760639*$t);
$X0 += 0.00000089535*cos(3.25178384851 + 32.9602271499*$t);
$X0 += 0.00000089793*cos(2.76430560225 + 65.46418849521*$t);
$X0 += 0.00000072027*cos(0.11366576076 + 36.9405645228*$t);
$X0 += 0.00000080381*cos(5.21057317852 + 67.1154175423*$t);
$X0 += 0.00000099502*cos(2.53010647936 + 453.1810763355*$t);
$X0 += 0.00000088685*cos(1.33848394125 + 251.6759485593*$t);
$X0 += 0.00000094971*cos(4.11602347578 + 219.6475600935*$t);
$X0 += 0.00000077015*cos(5.30660266172 + 5.6604434549*$t);
$X0 += 0.00000069098*cos(1.84984192453 + 22.3900997655*$t);
$X0 += 0.00000079079*cos(4.12824954018 + 44.48150029329*$t);
$X0 += 0.00000069159*cos(3.95901333551 + 1066.7392946735*$t);
$X0 += 0.00000064446*cos(4.03076164648 + 66.9486612035*$t);
$X0 += 0.00000088518*cos(2.66179796694 + 328.1087761737*$t);
$X0 += 0.00000065817*cos(1.42821476263 + 36.3711155512*$t);
$X0 += 0.00000071422*cos(4.23104971231 + 43.79347909271*$t);
$X0 += 0.00000063298*cos(2.21146718451 + 9.1506537333*$t);
$X0 += 0.00000077320*cos(0.26842720811 + 97.17169833279*$t);
$X0 += 0.00000073912*cos(1.72397638430 + 2.6769438233*$t);
$X0 += 0.00000073965*cos(5.55809543248 + 2.9521304692*$t);
$X0 += 0.00000056194*cos(4.45857439361 + 949.4194264533*$t);
$X0 += 0.00000059173*cos(1.41372632607 + 100.14064374939*$t);
$X0 += 0.00000067507*cos(3.94700376513 + 7.14491616321*$t);
$X0 += 0.00000071718*cos(0.93392607299 + 2.20386307129*$t);
$X0 += 0.00000063606*cos(5.17175542607 + 25.8466801491*$t);
$X0 += 0.00000071523*cos(2.05830478088 + 662.28738607949*$t);
$X0 += 0.00000057219*cos(0.88485013288 + 15.7429358723*$t);
$X0 += 0.00000050322*cos(1.08310288762 + 37.15301284391*$t);
$X0 += 0.00000066615*cos(3.42462264660 + 846.3266522347*$t);
$X0 += 0.00000056220*cos(4.52386924168 + 178.5455790391*$t);
$X0 += 0.00000067883*cos(3.88546727303 + 224.5886131854*$t);
$X0 += 0.00000057761*cos(5.16493680948 + 145.35359649321*$t);
$X0 += 0.00000053973*cos(6.25404762289 + 107.2205608554*$t);
$X0 += 0.00000057588*cos(4.84839311245 + 25.3590451821*$t);
$X0 += 0.00000049026*cos(1.27836371915 + 19.2543980101*$t);
$X0 += 0.00000063036*cos(4.29760573349 + 256.296123023*$t);
$X0 += 0.00000045304*cos(0.86492921312 + 4.1759707466*$t);
$X0 += 0.00000045669*cos(2.17547535945 + 117.6118698135*$t);
$X0 += 0.00000052821*cos(3.77933473571 + 289.97574053589*$t);
$X0 += 0.00000044016*cos(2.25498623278 + 32.7477788288*$t);
$X0 += 0.00000042933*cos(6.21504221321 + 28.98238190449*$t);
$X0 += 0.00000038369*cos(0.36602717013 + 39.6006933987*$t);
$X0 += 0.00000038805*cos(4.12403932769 + 103.3365917021*$t);
$X0 += 0.00000037679*cos(3.40097359574 + 9.3174100721*$t);
$X0 += 0.00000040292*cos(6.03933270535 + 111.18634401329*$t);
$X0 += 0.00000050011*cos(6.19966711969 + 221.61966776881*$t);
$X0 += 0.00000037056*cos(4.63008749202 + 8.32057233081*$t);
$X0 += 0.00000036562*cos(0.18548635975 + 448.98829064149*$t);
$X0 += 0.00000044628*cos(3.82762130859 + 525.2543619171*$t);
$X0 += 0.00000038213*cos(0.28030378709 + 75.54668091261*$t);
$X0 += 0.00000045963*cos(4.06403723861 + 183.486632131*$t);
$X0 += 0.00000048222*cos(2.81328685847 + 364.7573391032*$t);
$X0 += 0.00000038164*cos(5.23367149002 + 44.00592741381*$t);
$X0 += 0.00000047779*cos(6.19272750750 + 3340.8562441833*$t);
$X0 += 0.00000042228*cos(5.64690940917 + 77.0311536209*$t);
$X0 += 0.00000035247*cos(0.20766845689 + 34.7535163989*$t);
$X0 += 0.00000046804*cos(3.96902162832 + 33.6964324603*$t);
$X0 += 0.00000034352*cos(1.08289070011 + 33.71098667531*$t);
$X0 += 0.00000034949*cos(2.01384094499 + 3.37951923889*$t);
$X0 += 0.00000036030*cos(2.17275904548 + 71.09326278771*$t);
$X0 += 0.00000038112*cos(5.65470955047 + 45.9659730016*$t);
$X0 += 0.00000033119*cos(5.27794057043 + 7.3573644843*$t);
$X0 += 0.00000032049*cos(4.61840704188 + 34.44469985821*$t);
$X0 += 0.00000031910*cos(1.77890975693 + 81.61769818981*$t);
$X0 += 0.00000038697*cos(2.66910057126 + 184.97110483931*$t);
$X0 += 0.00000041486*cos(2.58550378076 + 310.4707937708*$t);
$X0 += 0.00000038631*cos(2.31715796823 + 50.9070260935*$t);
$X0 += 0.00000042711*cos(2.19232104972 + 1021.49271203491*$t);
$X0 += 0.00000032006*cos(0.97590559431 + 42.00018984371*$t);
$X0 += 0.00000038436*cos(0.31352578874 + 5.92107588581*$t);
$X0 += 0.00000038880*cos(3.29381198979 + 76.55807286891*$t);
$X0 += 0.00000041190*cos(4.58002024645 + 563.87503252191*$t);
$X0 += 0.00000029786*cos(1.00565266044 + 77.5067265004*$t);
$X0 += 0.00000040604*cos(4.47511985144 + 292.9446859525*$t);
$X0 += 0.00000035275*cos(1.67517293934 + 304.84171947829*$t);
$X0 += 0.00000038242*cos(2.80091349300 + 17.76992530181*$t);
$X0 += 0.00000034445*cos(4.48124108827 + 319.06881347989*$t);
$X0 += 0.00000028725*cos(5.51593817617 + 67.6366824041*$t);
$X0 += 0.00000032809*cos(5.57900930431 + 91.54262404029*$t);
$X0 += 0.00000038880*cos(0.56654650956 + 76.4617046493*$t);
$X0 += 0.00000030731*cos(5.22467991145 + 67.60305250931*$t);
$X0 += 0.00000028459*cos(0.11298908847 + 43.0427195673*$t);
$X0 += 0.00000035368*cos(3.56936550095 + 313.43973918739*$t);
$X0 += 0.00000035703*cos(0.06787236157 + 258.26823069831*$t);
$X0 += 0.00000032317*cos(2.30071476395 + 78.9575693139*$t);
$X0 += 0.00000029243*cos(0.30724049567 + 61.01077037031*$t);
$X0 += 0.00000026235*cos(3.88058959053 + 137.2768416459*$t);
$X0 += 0.00000026519*cos(6.20266742881 + 57.4993082325*$t);
$X0 += 0.00000024931*cos(5.73688334159 + 42.997027585*$t);
$X0 += 0.00000027608*cos(5.39681935370 + 103.7639804718*$t);
$X0 += 0.00000028680*cos(4.65490114562 + 215.1941419686*$t);
$X0 += 0.00000025052*cos(5.70195779765 + 350.08830211689*$t);
$X0 += 0.00000031386*cos(4.10756442698 + 22.22334342671*$t);
$X0 += 0.00000027545*cos(1.30787829275 + 100.6282787164*$t);
$X0 += 0.00000022617*cos(3.46251776435 + 36.8441963032*$t);
$X0 += 0.00000024909*cos(0.20851017271 + 24.36220744081*$t);
$X0 += 0.00000026216*cos(4.94808817995 + 491.8017469403*$t);
$X0 += 0.00000028040*cos(2.83295165264 + 11.55015017831*$t);
$X0 += 0.00000023047*cos(4.24570423583 + 35.51978228931*$t);
$X0 += 0.00000027067*cos(3.95547247738 + 326.62430346539*$t);
$X0 += 0.00000026192*cos(2.35959813381 + 20.7388707184*$t);
$X0 += 0.00000023134*cos(2.59485537406 + 68.4331339118*$t);
$X0 += 0.00000021423*cos(0.87822750255 + 39.90950993941*$t);
$X0 += 0.00000025696*cos(0.32414101638 + 186.4555775476*$t);
$X0 += 0.00000026985*cos(3.53264939991 + 69.6087900794*$t);
$X0 += 0.00000023284*cos(2.71588030137 + 79.43065006591*$t);
$X0 += 0.00000022894*cos(0.61847067768 + 227.77000692311*$t);
$X0 += 0.00000022482*cos(0.72349596890 + 39.8131417198*$t);
$X0 += 0.00000023480*cos(4.39643703557 + 30.9881194746*$t);
$X0 += 0.00000020858*cos(3.23577429095 + 41.2339239533*$t);
$X0 += 0.00000020327*cos(1.15567976096 + 39.0312444271*$t);
$X0 += 0.00000020327*cos(0.04331485179 + 37.72246181551*$t);
$X0 += 0.00000022639*cos(0.21515321589 + 0.9800227939*$t);
$X0 += 0.00000022639*cos(0.21515321589 + 1.46765776091*$t);
$X0 += 0.00000019139*cos(0.03506366059 + 205.9417309537*$t);
$X0 += 0.00000019118*cos(1.62564867989 + 2119.00767786191*$t);
$X0 += 0.00000025698*cos(2.97643019475 + 401.4059020327*$t);
$X0 += 0.00000021582*cos(4.29532713983 + 81.13006322279*$t);
$X0 += 0.00000025509*cos(4.64829559110 + 329.593248882*$t);
$X0 += 0.00000024296*cos(2.11682013072 + 62.0076081116*$t);
$X0 += 0.00000023969*cos(0.88887585882 + 135.3047339706*$t);
$X0 += 0.00000020599*cos(4.51946091131 + 491.3141119733*$t);
$X0 += 0.00000016829*cos(5.63589438225 + 3.1645787903*$t);
$X0 += 0.00000020030*cos(4.02146628228 + 217.4750661846*$t);
$X0 += 0.00000020377*cos(0.89378346451 + 209.6107596584*$t);
$X0 += 0.00000017251*cos(2.57319624936 + 350.5759370839*$t);
$X0 += 0.00000019625*cos(6.12382765898 + 129.6756596781*$t);
$X0 += 0.00000022707*cos(5.69106089810 + 1436.2969352491*$t);
$X0 += 0.00000017142*cos(0.00501932570 + 29.4700168715*$t);
$X0 += 0.00000016188*cos(4.90861200887 + 39.00999256771*$t);
$X0 += 0.00000016188*cos(2.57356791106 + 37.7437136749*$t);
$X0 += 0.00000020858*cos(4.67505024087 + 58.9837809408*$t);
$X0 += 0.00000015747*cos(1.88900821622 + 154.260432743*$t);
$X0 += 0.00000019714*cos(0.33238117487 + 294.91679362781*$t);
$X0 += 0.00000019078*cos(2.73754913300 + 202.4972126576*$t);
$X0 += 0.00000021530*cos(3.37996249680 + 114.1552894299*$t);
$X0 += 0.00000019068*cos(1.82733694293 + 138.2736793872*$t);
$X0 += 0.00000018723*cos(6.21404671018 + 323.74923414091*$t);
$X0 += 0.00000018916*cos(5.47002080885 + 40.3825906914*$t);
$X0 += 0.00000015843*cos(0.27660393480 + 72.577735496*$t);
$X0 += 0.00000020695*cos(5.32080415125 + 86.07111631471*$t);
$X0 += 0.00000015895*cos(5.73200518668 + 736.1203310153*$t);
$X0 += 0.00000014983*cos(2.13549071268 + 743.23387801611*$t);
$X0 += 0.00000014928*cos(0.78464963633 + 34.23225153711*$t);
$X0 += 0.00000015461*cos(6.04598420333 + 20.850745303*$t);
$X0 += 0.00000016206*cos(6.05974800797 + 138.76131435421*$t);
$X0 += 0.00000015978*cos(0.85734083354 + 515.70768857651*$t);
$X0 += 0.00000014173*cos(2.99587831656 + 99.1438060081*$t);
$X0 += 0.00000018749*cos(3.37545937432 + 54.5303628159*$t);
$X0 += 0.00000013971*cos(5.11256155147 + 76.77052119001*$t);
$X0 += 0.00000013971*cos(5.03098185419 + 76.2492563282*$t);
$X0 += 0.00000014035*cos(4.45768361334 + 235.68919520349*$t);
$X0 += 0.00000018894*cos(4.59865824553 + 31.4757544416*$t);
$X0 += 0.00000014967*cos(0.97104009185 + 52.3914988018*$t);
$X0 += 0.00000017392*cos(1.69348450373 + 74.0622082043*$t);
$X0 += 0.00000014788*cos(5.00944229014 + 56.01483552421*$t);
$X0 += 0.00000015758*cos(5.97423795440 + 208.8624922605*$t);
$X0 += 0.00000012911*cos(0.41434497695 + 42.5214547055*$t);
$X0 += 0.00000014356*cos(4.89778066710 + 251.8427048981*$t);
$X0 += 0.00000016266*cos(4.96350311575 + 853.4401992355*$t);
$X0 += 0.00000015513*cos(1.02523907534 + 59.038662695*$t);
$X0 += 0.00000012783*cos(2.34267333656 + 107.52937739611*$t);
$X0 += 0.00000016075*cos(4.73335524561 + 366.24181181149*$t);
$X0 += 0.00000014277*cos(4.88488299527 + 19.36627259471*$t);
$X0 += 0.00000014742*cos(1.55115458505 + 82.4477795923*$t);
$X0 += 0.00000015111*cos(4.13629021798 + 363.27286639489*$t);
$X0 += 0.00000014981*cos(5.88358063018 + 82.6145359311*$t);
$X0 += 0.00000014840*cos(0.62836299110 + 44.0541115236*$t);
$X0 += 0.00000015592*cos(1.03195525294 + 8.6293888715*$t);
$X0 += 0.00000014568*cos(2.02105422692 + 73.80157577341*$t);
$X0 += 0.00000012251*cos(1.18824225128 + 47.28368937111*$t);
$X0 += 0.00000011447*cos(0.91374266731 + 175.40987728371*$t);
$X0 += 0.00000013900*cos(5.64591952885 + 700.4204217173*$t);
$X0 += 0.00000015583*cos(3.88966860773 + 837.4534458797*$t);
$X0 += 0.00000012109*cos(2.10142517621 + 33.0084112597*$t);
$X0 += 0.00000012379*cos(5.59016916358 + 140.4125434013*$t);
$X0 += 0.00000011481*cos(5.22670638349 + 39.2069345238*$t);
$X0 += 0.00000011481*cos(2.25547353643 + 37.54677171881*$t);
$X0 += 0.00000011452*cos(1.21111994028 + 529.4135177163*$t);
$X0 += 0.00000010981*cos(0.01852111423 + 63.49208081989*$t);
$X0 += 0.00000012137*cos(2.33017731448 + 42.3090063844*$t);
$X0 += 0.00000013771*cos(4.49397894473 + 76.62176334371*$t);
$X0 += 0.00000011036*cos(3.16457889057 + 530.45604743991*$t);
$X0 += 0.00000011537*cos(4.29449656032 + 199.3158189199*$t);
$X0 += 0.00000011189*cos(3.24467764115 + 80.1332254815*$t);
$X0 += 0.00000012835*cos(1.26831311464 + 38.85242600079*$t);
$X0 += 0.00000012879*cos(4.74400685998 + 5.69407334969*$t);
$X0 += 0.00000013663*cos(3.12818073078 + 438.0544649622*$t);
$X0 += 0.00000010132*cos(4.37559264666 + 187.9400502559*$t);
$X0 += 0.00000012619*cos(4.66177013386 + 65.2035560643*$t);
$X0 += 0.00000010088*cos(6.12382762451 + 26.58288545949*$t);
$X0 += 0.00000011959*cos(5.90953104234 + 64.7159210973*$t);
$X0 += 0.00000011578*cos(4.24710384177 + 275.3067035496*$t);
$X0 += 0.00000012795*cos(3.23836197733 + 17.8817998864*$t);
$X0 += 0.00000013771*cos(5.64956481971 + 76.3980141745*$t);
$X0 += 0.00000010044*cos(0.10145082472 + 147.83490694279*$t);
$X0 += 0.00000013632*cos(2.86683446064 + 45.277951801*$t);
$X0 += 0.00000011660*cos(2.65801239040 + 143.9027536797*$t);
$X0 += 0.00000009938*cos(4.21970476320 + 6.86972951729*$t);
$X0 += 0.00000009719*cos(6.05786462616 + 956.53297345411*$t);
$X0 += 0.00000011441*cos(0.61314587598 + 533.8669358412*$t);
$X0 += 0.00000010240*cos(2.91846731922 + 80.7026744531*$t);
$X0 += 0.00000010031*cos(5.38075474506 + 43.74529498291*$t);
$X0 += 0.00000010063*cos(5.77064020369 + 0.27744737829*$t);
$X0 += 0.00000011428*cos(3.77013145660 + 526.00262931501*$t);
$X0 += 0.00000009279*cos(6.16721103485 + 79.6455905145*$t);
$X0 += 0.00000010172*cos(2.46540726742 + 568.0678182159*$t);
$X0 += 0.00000009198*cos(5.07759437389 + 112.6708167216*$t);
$X0 += 0.00000009831*cos(2.49002547943 + 20.9056270572*$t);
$X0 += 0.00000009830*cos(3.51040521049 + 544.1618765797*$t);
$X0 += 0.00000008646*cos(4.49185896918 + 30.7756711535*$t);
$X0 += 0.00000009315*cos(0.15689765715 + 65.63094483399*$t);
$X0 += 0.00000009201*cos(0.09219461091 + 184.48346987229*$t);
$X0 += 0.00000008674*cos(2.01170720350 + 624.1543504417*$t);
$X0 += 0.00000010739*cos(0.49719235939 + 331.56535655731*$t);
$X0 += 0.00000009612*cos(5.38629260665 + 182.00215942271*$t);
$X0 += 0.00000008664*cos(5.62437013922 + 1479.11039154791*$t);
$X0 += 0.00000008092*cos(5.65922856578 + 6.8360996225*$t);
$X0 += 0.00000010092*cos(4.71596617075 + 419.2408263917*$t);
$X0 += 0.00000010233*cos(4.88231209018 + 402.89037474099*$t);
$X0 += 0.00000008502*cos(2.03567120581 + 17.39416491939*$t);
$X0 += 0.00000010189*cos(2.58985636739 + 21.7020785649*$t);
$X0 += 0.00000009829*cos(5.23644081358 + 121.2352065359*$t);
$X0 += 0.00000008406*cos(2.47191018350 + 376.9150050599*$t);
$X0 += 0.00000008060*cos(5.62304271115 + 415.7963080956*$t);
$X0 += 0.00000009455*cos(0.06796991442 + 167.80869531589*$t);
$X0 += 0.00000007941*cos(1.43287391293 + 526.7533888404*$t);
$X0 += 0.00000007870*cos(2.90339733997 + 533.1161763158*$t);
$X0 += 0.00000007695*cos(0.92731028198 + 906.60597015449*$t);
$X0 += 0.00000007862*cos(0.91484097138 + 1265.81129610991*$t);
$X0 += 0.00000008062*cos(1.12885573257 + 105.7360881471*$t);
$X0 += 0.00000008904*cos(4.30824949636 + 399.9214293244*$t);
$X0 += 0.00000008050*cos(0.14722556593 + 143.8691237849*$t);
$X0 += 0.00000009102*cos(4.77518241515 + 348.17644063891*$t);
$X0 += 0.00000007137*cos(1.26110622464 + 117.5636857037*$t);
$X0 += 0.00000007076*cos(3.19957487812 + 26.84351789039*$t);
$X0 += 0.00000008418*cos(1.48515415206 + 77.73372903651*$t);
$X0 += 0.00000008257*cos(4.44435970504 + 117.77862615229*$t);
$X0 += 0.00000007868*cos(5.07706724776 + 288.4912678276*$t);
$X0 += 0.00000008093*cos(0.41458983168 + 1692.40948698591*$t);
$X0 += 0.00000006910*cos(0.44789832682 + 216.72430665921*$t);
$X0 += 0.00000007092*cos(0.01337002281 + 452.65981147369*$t);
$X0 += 0.00000007060*cos(1.93108090539 + 453.7023411973*$t);
$X0 += 0.00000008233*cos(3.50880140177 + 480.00777927849*$t);
$X0 += 0.00000006772*cos(4.46250089888 + 210.36151918381*$t);
$X0 += 0.00000007025*cos(1.42668370417 + 55.9029609396*$t);
$X0 += 0.00000008356*cos(2.10000097648 + 95.7354097343*$t);
$X0 += 0.00000007404*cos(1.00293545057 + 75.2860484817*$t);
$X0 += 0.00000006839*cos(0.99943444853 + 41.5125548767*$t);
$X0 += 0.00000007909*cos(1.64368221183 + 36.63174798211*$t);
$X0 += 0.00000007909*cos(2.69690505451 + 40.12195826051*$t);
$X0 += 0.00000006362*cos(0.26347531595 + 29.99128173331*$t);
$X0 += 0.00000006712*cos(0.84138813413 + 133.82026126229*$t);
$X0 += 0.00000007571*cos(2.81738238064 + 23.707816135*$t);
$X0 += 0.00000006677*cos(0.10164158344 + 1.20702533*$t);
$X0 += 0.00000007600*cos(0.07294781428 + 494.2348732801*$t);
$X0 += 0.00000008009*cos(0.39086308190 + 170.72945662269*$t);
$X0 += 0.00000007584*cos(6.04989436828 + 119.2630988606*$t);
$X0 += 0.00000006599*cos(2.25520576507 + 32.226513967*$t);
$X0 += 0.00000006085*cos(4.97064703625 + 322.00412900171*$t);
$X0 += 0.00000005953*cos(2.49854544351 + 52214.1831362697*$t);
$X0 += 0.00000007827*cos(3.28593277837 + 474.7030278917*$t);
$X0 += 0.00000007907*cos(4.46293464979 + 485.63685357099*$t);
$X0 += 0.00000007372*cos(4.88712847504 + 55.05162767771*$t);
$X0 += 0.00000006966*cos(5.60552242454 + 647.25465079831*$t);
$X0 += 0.00000006266*cos(5.78133779594 + 177.0611063308*$t);
$X0 += 0.00000005900*cos(4.92602771915 + 52061.16335875149*$t);
$X0 += 0.00000006221*cos(2.35523958706 + 602.00806815971*$t);
$X0 += 0.00000005552*cos(5.87735995607 + 223.1041404771*$t);
$X0 += 0.00000005976*cos(1.83099110545 + 10.8018827804*$t);
$X0 += 0.00000007600*cos(5.33804556108 + 488.6057989876*$t);
$X0 += 0.00000006831*cos(0.04615498459 + 1582.2031657665*$t);
$X0 += 0.00000005654*cos(3.04032114806 + 12604.5285531041*$t);
$X0 += 0.00000005798*cos(1.13675043219 + 27.4979091962*$t);
$X0 += 0.00000007216*cos(0.18192294134 + 739.0410923221*$t);
$X0 += 0.00000006579*cos(3.94809746775 + 2.69149803831*$t);
$X0 += 0.00000005758*cos(2.82344188087 + 30.0394658431*$t);
$X0 += 0.00000005270*cos(3.46743079634 + 6166.94845288619*$t);
$X0 += 0.00000007398*cos(0.58333334375 + 709.721016842*$t);
$X0 += 0.00000005679*cos(5.91776083103 + 17.22740858061*$t);
$X0 += 0.00000005205*cos(2.61017638124 + 426.3543733925*$t);
$X0 += 0.00000005146*cos(0.81172664742 + 46.7624245093*$t);
$X0 += 0.00000005694*cos(2.94913098744 + 168.98435148349*$t);
$X0 += 0.00000006627*cos(6.07668723879 + 221.13203280179*$t);
$X0 += 0.00000005443*cos(4.34867602386 + 525.7419968841*$t);
$X0 += 0.00000006475*cos(2.52364293984 + 591.07424248041*$t);
$X0 += 0.00000004984*cos(4.89088409053 + 10097.15814910579*$t);
$X0 += 0.00000005318*cos(5.22697316848 + 44.52719227561*$t);
$X0 += 0.00000006699*cos(2.95047965393 + 2157.1407134997*$t);
$X0 += 0.00000006443*cos(5.65068156930 + 675.0445615878*$t);
$X0 += 0.00000005078*cos(0.96513123174 + 101.62511645769*$t);
$X0 += 0.00000005394*cos(0.88948762211 + 368.21391948681*$t);
$X0 += 0.00000005072*cos(2.52597530610 + 272.33775813299*$t);
$X0 += 0.00000005208*cos(4.53150187093 + 277.2788112249*$t);
$X0 += 0.00000005332*cos(1.28621962216 + 280.9357778421*$t);
$X0 += 0.00000005989*cos(5.89271411050 + 93.0270967486*$t);
$X0 += 0.00000006329*cos(0.49570607842 + 18.87863762769*$t);
$X0 += 0.00000005551*cos(2.57045763275 + 57.3874336479*$t);
$X0 += 0.00000006471*cos(0.04463535540 + 68.1243173711*$t);
$X0 += 0.00000004708*cos(2.23921095477 + 95.68722562449*$t);
$X0 += 0.00000005891*cos(5.96441381591 + 381.5954257209*$t);
$X0 += 0.00000004717*cos(4.31682479516 + 104.2852453336*$t);
$X0 += 0.00000005675*cos(1.71229301179 + 1165.6392831981*$t);
$X0 += 0.00000005888*cos(0.43219504278 + 42.34263627919*$t);
$X0 += 0.00000005587*cos(4.09170092519 + 459.6066021357*$t);
$X0 += 0.00000005456*cos(1.50864831442 + 75.50098893029*$t);
$X0 += 0.00000005940*cos(6.28075673596 + 6318.4837576961*$t);
$X0 += 0.00000005207*cos(4.55134069280 + 436.5699922539*$t);
$X0 += 0.00000006160*cos(4.76046448210 + 749.82616015511*$t);
$X0 += 0.00000006137*cos(4.59348226478 + 713.17759722561*$t);
$X0 += 0.00000004547*cos(2.39218547281 + 32.47259218289*$t);
$X0 += 0.00000005246*cos(4.97888240032 + 109.9625037359*$t);
$X0 += 0.00000005244*cos(2.33674770879 + 73.5891274523*$t);
$X0 += 0.00000005572*cos(6.12038028190 + 102.11275142471*$t);
$X0 += 0.00000005638*cos(1.42053892188 + 10248.6934539157*$t);
$X0 += 0.00000004513*cos(1.62848698862 + 1272.9248431107*$t);
$X0 += 0.00000004340*cos(2.36449866810 + 384.02855206069*$t);
$X0 += 0.00000004263*cos(4.24631269159 + 1577.52274510549*$t);
$X0 += 0.00000005964*cos(4.92643136579 + 786.47472308461*$t);
$X0 += 0.00000004962*cos(6.09839378254 + 257.78059573129*$t);
$X0 += 0.00000005327*cos(5.70215230442 + 107.74182571721*$t);
$X0 += 0.00000005572*cos(0.87438107795 + 291.2934569054*$t);
$X0 += 0.00000004336*cos(5.80113193852 + 53.40958840249*$t);
$X0 += 0.00000004427*cos(3.00157250839 + 189.42452296421*$t);
$X0 += 0.00000004157*cos(3.46647899628 + 29.5036467663*$t);
$X0 += 0.00000004646*cos(2.87774169214 + 13285.93981804009*$t);
$X0 += 0.00000005507*cos(4.27464738844 + 178.11819026941*$t);
$X0 += 0.00000005348*cos(1.42468292991 + 24.88347230261*$t);
$X0 += 0.00000005339*cos(3.91840662285 + 314.6635794648*$t);
$X0 += 0.00000004678*cos(4.43608792406 + 1474.4299708869*$t);
$X0 += 0.00000004090*cos(3.35633664186 + 765.3801602981*$t);
$X0 += 0.00000005008*cos(5.85701520659 + 352.06040979221*$t);
$X0 += 0.00000005562*cos(0.40887335705 + 6248.1555772537*$t);
$X0 += 0.00000004983*cos(3.16236150253 + 1055.43296197871*$t);
$X0 += 0.00000004566*cos(5.25700629292 + 325.1398307571*$t);
$X0 += 0.00000005327*cos(5.25347269162 + 439.53893767049*$t);
$X0 += 0.00000005121*cos(5.84825704577 + 711.6931245173*$t);
$X0 += 0.00000004181*cos(1.11749590962 + 6606.1994373488*$t);
$X0 += 0.00000004293*cos(4.65873798886 + 46.71424039951*$t);
$X0 += 0.00000005532*cos(0.53479774781 + 320.03202132639*$t);
$X0 += 0.00000004492*cos(0.09912827297 + 52177.53457334019*$t);
$X0 += 0.00000004312*cos(1.38883413817 + 22.8777347325*$t);
$X0 += 0.00000005332*cos(1.83070192574 + 10178.3652734733*$t);
$X0 += 0.00000004593*cos(0.14820750962 + 1025.6854977289*$t);
$X0 += 0.00000005439*cos(5.09447580219 + 823.12328601411*$t);
$X0 += 0.00000003870*cos(4.27995377915 + 1596.43025976811*$t);
$X0 += 0.00000003892*cos(2.11564791977 + 226.07308589371*$t);
$X0 += 0.00000004891*cos(2.80814026706 + 8.1417539045*$t);
$X0 += 0.00000004689*cos(3.52062924653 + 276.79117625789*$t);
$X0 += 0.00000004268*cos(2.59269427473 + 374.15181032*$t);
$X0 += 0.00000003828*cos(2.28076604659 + 2138.2331988371*$t);
$X0 += 0.00000004592*cos(3.87527577295 + 1376.0176173293*$t);
$X0 += 0.00000004629*cos(0.97709160917 + 122.71967924421*$t);
$X0 += 0.00000003871*cos(3.17548325596 + 531.4192552864*$t);
$X0 += 0.00000004995*cos(0.32063762943 + 32.69959471901*$t);
$X0 += 0.00000004711*cos(0.43748317622 + 52252.31617190749*$t);
$X0 += 0.00000003893*cos(0.12475334110 + 116.294153444*$t);
$X0 += 0.00000004481*cos(4.66479841820 + 53.0458901076*$t);
$X0 += 0.00000004136*cos(2.59386926777 + 503.1080796351*$t);
$X0 += 0.00000004508*cos(4.38574998818 + 562.12992738271*$t);
$X0 += 0.00000005025*cos(0.39865233659 + 283.38345839689*$t);
$X0 += 0.00000004789*cos(2.68692249791 + 627.7228054099*$t);
$X0 += 0.00000004021*cos(0.14454426922 + 6603.23049193219*$t);
$X0 += 0.00000005163*cos(4.77460676620 + 25519.83532335829*$t);
$X0 += 0.00000004150*cos(3.86319541901 + 27.443027442*$t);
$X0 += 0.00000003623*cos(2.29457319711 + 1665.5827840429*$t);
$X0 += 0.00000004634*cos(1.79141170909 + 3227.45397501119*$t);
$X0 += 0.00000004060*cos(6.21658618282 + 304.4780211834*$t);
$X0 += 0.00000003862*cos(0.50812728673 + 74.504151189*$t);
$X0 += 0.00000003561*cos(4.92971224760 + 358.6526919312*$t);
$X0 += 0.00000004557*cos(6.27521064672 + 25974.74468988559*$t);
$X0 += 0.00000004264*cos(1.56884112199 + 634.93941827469*$t);
$X0 += 0.00000004482*cos(1.70550805319 + 342.61105682121*$t);
$X0 += 0.00000003539*cos(0.56907944763 + 119.7507338276*$t);
$X0 += 0.00000004304*cos(0.63784646457 + 12567.8799901746*$t);
$X0 += 0.00000004138*cos(4.03567139847 + 107.2541907502*$t);
$X0 += 0.00000004284*cos(0.05420881503 + 294.42915866079*$t);
$X0 += 0.00000003723*cos(5.58644401851 + 987.325459555*$t);
$X0 += 0.00000003723*cos(5.58644401851 + 987.813094522*$t);
$X0 += 0.00000004606*cos(5.49553530451 + 14.42521950279*$t);
$X0 += 0.00000004236*cos(6.22240593144 + 155.9116617901*$t);
$X0 += 0.00000004458*cos(2.64590572483 + 395.8225197225*$t);
$X0 += 0.00000004798*cos(5.23929868658 + 530.195415009*$t);
$X0 += 0.00000003640*cos(2.22734915897 + 2564.8313897131*$t);
$X0 += 0.00000003563*cos(5.37459598926 + 12451.50877558589*$t);
$X0 += 0.00000003443*cos(2.13809774331 + 245.2504227591*$t);
$X0 += 0.00000003429*cos(4.73423412994 + 530.0466571627*$t);
$X0 += 0.00000003872*cos(4.09217464449 + 308.98632106249*$t);
$X0 += 0.00000003406*cos(5.88979864779 + 529.82290799351*$t);
$X0 += 0.00000004348*cos(1.52419659995 + 20311.92816802509*$t);
$X0 += 0.00000004589*cos(5.24153025487 + 181.08713568601*$t);
$X0 += 0.00000003854*cos(5.92510183178 + 12564.91104475801*$t);
$X0 += 0.00000003789*cos(4.29351893525 + 3101.6359018085*$t);
$X0 += 0.00000003783*cos(0.26936683978 + 1614.17130803499*$t);
$X0 += 0.00000003904*cos(0.00421090422 + 369.8014580591*$t);
$X0 += 0.00000003765*cos(4.70889835066 + 1025.94613015981*$t);
$X0 += 0.00000004231*cos(5.35914297519 + 31.52393855141*$t);
$X0 += 0.00000004303*cos(4.97345150272 + 396.785727569*$t);
$X0 += 0.00000004085*cos(1.80921070558 + 14.47091148511*$t);
$X0 += 0.00000004085*cos(1.80921070558 + 13.9832765181*$t);
$X0 += 0.00000003346*cos(4.91522066963 + 20351.54567637119*$t);
$X0 += 0.00000004021*cos(6.08537487228 + 748.3416874468*$t);
$X0 += 0.00000003753*cos(1.17204243376 + 524.99372948619*$t);
$X0 += 0.00000003935*cos(1.24122122244 + 1617.14025345159*$t);
$X0 += 0.00000004432*cos(3.45778366813 + 511.3515908212*$t);
$X0 += 0.00000004170*cos(4.42864444413 + 274.87931477991*$t);
$X0 += 0.00000003317*cos(1.79347554880 + 266.70868384049*$t);
$X0 += 0.00000004545*cos(4.56531161641 + 244.5624015585*$t);
$X0 += 0.00000003589*cos(1.55384880430 + 59.526297662*$t);
$X0 += 0.00000003464*cos(0.37736158688 + 102.27950776349*$t);
$X0 += 0.00000004526*cos(4.55402483522 + 525.7901809939*$t);
$X0 += 0.00000004603*cos(4.40260765490 + 26088.1469590577*$t);
$X0 += 0.00000004021*cos(5.38581853850 + 52174.56562792359*$t);
$X0 += 0.00000003276*cos(1.95663025139 + 1306.3774580875*$t);
$X0 += 0.00000003214*cos(3.94235488355 + 20348.57673095459*$t);
$X0 += 0.00000003706*cos(5.25360971143 + 27.07052042651*$t);
$X0 += 0.00000003759*cos(4.32245166720 + 164.83974989929*$t);
$X0 += 0.00000003184*cos(2.01654309849 + 538.0115374254*$t);
$X0 += 0.00000004430*cos(5.37917502758 + 529.6741501472*$t);
$X0 += 0.00000004064*cos(1.03322736236 + 6130.2998899567*$t);
$X0 += 0.00000003918*cos(4.20575585414 + 375.43053235159*$t);
$X0 += 0.00000004058*cos(5.13313296042 + 433.4342904985*$t);
$X0 += 0.00000003919*cos(0.36694469487 + 1092.8177302186*$t);
$X0 += 0.00000003919*cos(0.36694469487 + 1093.3053651856*$t);
$X0 += 0.00000003175*cos(1.14568678321 + 241.3664536058*$t);
$X0 += 0.00000003135*cos(5.81037649777 + 127.22797912329*$t);
$X0 += 0.00000003834*cos(1.84941829775 + 14.3133449182*$t);
$X0 += 0.00000004022*cos(1.72079825603 + 1477.8383671607*$t);
$X0 += 0.00000003221*cos(1.09261076661 + 78.1611178062*$t);
$X0 += 0.00000003426*cos(0.06166201047 + 519.8522901607*$t);
$X0 += 0.00000004369*cos(0.74973637733 + 746.3695797715*$t);
$X0 += 0.00000003160*cos(2.01821245093 + 664.99569906519*$t);
$X0 += 0.00000004060*cos(6.06087716530 + 51.87023394*$t);
$X0 += 0.00000003107*cos(5.38240469077 + 28.9275001503*$t);
$X0 += 0.00000003259*cos(5.62260974194 + 657.8821520644*$t);
$X0 += 0.00000003428*cos(1.24133782529 + 2351.5322942751*$t);
$X0 += 0.00000003235*cos(1.64692472660 + 406.3469551246*$t);
$X0 += 0.00000003161*cos(5.69758725685 + 982.8720414301*$t);
$X0 += 0.00000004351*cos(1.04662835997 + 20388.19423930069*$t);
$X0 += 0.00000003384*cos(0.30649784029 + 660.851097481*$t);
$X0 += 0.00000003452*cos(4.39659352485 + 326.1823604807*$t);
$X0 += 0.00000003298*cos(0.15489069807 + 1403.84115801359*$t);
$X0 += 0.00000003278*cos(3.68945780931 + 941.7700603757*$t);
$X0 += 0.00000003723*cos(5.00962048402 + 451.9572360581*$t);
$X0 += 0.00000003173*cos(5.46640783518 + 1400.87221259699*$t);
$X0 += 0.00000004113*cos(1.87439213951 + 1049.31625271919*$t);
$X0 += 0.00000004012*cos(2.15082049909 + 52.6039471229*$t);
$X0 += 0.00000004142*cos(4.89782789900 + 978.6792557361*$t);
$X0 += 0.00000004295*cos(1.37302733197 + 875.58648151749*$t);
$X0 += 0.00000003224*cos(3.81995287471 + 459.1189671687*$t);
$X0 += 0.00000003151*cos(3.69005421605 + 381.8560581518*$t);
$X0 += 0.00000003633*cos(1.38559724652 + 256.78375799*$t);
$X0 += 0.00000004250*cos(0.10595516218 + 528.71094230071*$t);
$X0 += 0.00000004186*cos(2.09187651842 + 943.25453308399*$t);
$X0 += 0.00000003406*cos(0.25126866750 + 170.46882419179*$t);
$X0 += 0.00000003231*cos(4.61367643853 + 400.8209466961*$t);
$X0 += 0.00000003726*cos(0.55318715397 + 1096.48675892331*$t);
$X0 += 0.00000003792*cos(0.75464081409 + 111.9346114112*$t);
$X0 += 0.00000003651*cos(4.56933341620 + 154.42718908179*$t);
$X0 += 0.00000003839*cos(2.45649426115 + 10060.50958617629*$t);
$X0 += 0.00000003356*cos(0.62546125542 + 1586.34776735071*$t);
$X0 += 0.00000003219*cos(5.97786590701 + 213.7096692603*$t);
$X0 += 0.00000003671*cos(1.51743688101 + 57.6023740965*$t);
$X0 += 0.00000004187*cos(0.29242250575 + 2772.54460848389*$t);
$X0 += 0.00000002960*cos(2.20142019667 + 2461.7386154945*$t);
$X0 += 0.00000003331*cos(0.81281655951 + 10133.80671203529*$t);
$X0 += 0.00000003341*cos(1.17831577639 + 243.7659500508*$t);
$X0 += 0.00000003466*cos(4.73891819304 + 1150.92455422949*$t);
$X0 += 0.00000003296*cos(3.49817757911 + 1653.78881638109*$t);
$X0 += 0.00000003014*cos(1.90092216670 + 1477.3989163035*$t);
$X0 += 0.00000004118*cos(2.83150543771 + 25596.5890296009*$t);
$X0 += 0.00000002951*cos(5.04298380276 + 42.78208713641*$t);
$X0 += 0.00000002951*cos(5.58078877076 + 33.9716191062*$t);
$X0 += 0.00000003830*cos(4.59720174528 + 323.48860171*$t);
$X0 += 0.00000003313*cos(1.64840054600 + 939.1099314998*$t);
$X0 += 0.00000003031*cos(2.75126158832 + 156450.90896068608*$t);
$X0 += 0.00000003606*cos(3.92819651217 + 1082.2596649217*$t);
$X0 += 0.00000002967*cos(0.01380556143 + 6.3941566378*$t);
$X0 += 0.00000002995*cos(3.55729257964 + 139.7099679857*$t);
$X0 += 0.00000003251*cos(3.50186784018 + 709.29362807231*$t);
$X0 += 0.00000003480*cos(0.61716473120 + 518.1408149163*$t);
$X0 += 0.00000003906*cos(2.84871380483 + 1119.90506559249*$t);
$X0 += 0.00000003406*cos(1.85522558472 + 148.79811478929*$t);
$X0 += 0.00000003359*cos(1.74239209634 + 642.8494167832*$t);
$X0 += 0.00000003027*cos(0.29741383095 + 184.0078969928*$t);
$X0 += 0.00000002918*cos(2.25866029656 + 83.6234357599*$t);
$X0 += 0.00000003347*cos(6.10666820526 + 217.68751450571*$t);
$X0 += 0.00000003277*cos(0.27333269638 + 912.5438609877*$t);
$X0 += 0.00000003277*cos(0.27333269638 + 913.03149595471*$t);
$X0 += 0.00000003196*cos(5.84286985933 + 363.1061100561*$t);
$X0 += 0.00000002869*cos(4.50334436600 + 285.35556607221*$t);
$X0 += 0.00000003158*cos(1.18152957041 + 540.01727499551*$t);
$X0 += 0.00000002810*cos(5.14802919795 + 1592.2856581839*$t);
$X0 += 0.00000003471*cos(6.13160952457 + 144.39038864671*$t);
$X0 += 0.00000003159*cos(4.14451339136 + 197.5561595657*$t);
$X0 += 0.00000003227*cos(5.73841253304 + 6203.5970158157*$t);
$X0 += 0.00000003750*cos(5.81139240481 + 303.35724676999*$t);
$X0 += 0.00000003848*cos(3.38110828764 + 26048.04181574459*$t);
$X0 += 0.00000002741*cos(1.70084306406 + 70.8326303568*$t);
$X0 += 0.00000002826*cos(2.07742210458 + 460.2946233363*$t);
$X0 += 0.00000002748*cos(0.98378370701 + 600.52359545141*$t);
$X0 += 0.00000003057*cos(6.13629771077 + 23.81969071961*$t);
$X0 += 0.00000003057*cos(1.34588220916 + 52.934015523*$t);
$X0 += 0.00000003446*cos(3.54046646150 + 500.1391342185*$t);
$X0 += 0.00000002703*cos(4.69192633180 + 908.0904428628*$t);
$X0 += 0.00000002817*cos(3.26718539283 + 210.6221516147*$t);
$X0 += 0.00000002848*cos(5.88127781412 + 450.4727633498*$t);
$X0 += 0.00000002724*cos(0.93671586048 + 23.18655127321*$t);
$X0 += 0.00000002905*cos(5.85039527890 + 149.3193796511*$t);
$X0 += 0.00000002848*cos(6.20081143930 + 622.66987773339*$t);
$X0 += 0.00000002733*cos(3.50715759295 + 262.72164882321*$t);
$X0 += 0.00000002863*cos(0.69834580836 + 175.57663362249*$t);
$X0 += 0.00000002681*cos(1.11809511751 + 25.1922888433*$t);
$X0 += 0.00000002822*cos(1.57963221264 + 259.7527034066*$t);
$X0 += 0.00000003174*cos(6.18541771069 + 347.1193567003*$t);
$X0 += 0.00000003271*cos(1.40248413653 + 458.5977023069*$t);
$X0 += 0.00000002894*cos(4.18128306427 + 71.82946809809*$t);
$X0 += 0.00000003490*cos(2.85083291634 + 664.3713683394*$t);
$X0 += 0.00000003506*cos(5.48691285949 + 771.3481117113*$t);
$X0 += 0.00000003326*cos(2.12303698267 + 45.2297676912*$t);
$X0 += 0.00000002988*cos(0.23324807191 + 299.37021175271*$t);
$X0 += 0.00000002916*cos(3.60780287924 + 6642.8480002783*$t);
$X0 += 0.00000002916*cos(0.46621022565 + 6643.3356352453*$t);
$X0 += 0.00000002630*cos(1.12694509764 + 2751.79141717511*$t);
$X0 += 0.00000002903*cos(4.31055308658 + 477.08701797169*$t);
$X0 += 0.00000002804*cos(0.26456593020 + 6681.46867088311*$t);
$X0 += 0.00000002622*cos(2.30179163581 + 521.8580277308*$t);
$X0 += 0.00000002606*cos(6.15707729666 + 410.8552550037*$t);
$X0 += 0.00000003046*cos(2.36386768037 + 959.45373476091*$t);
$X0 += 0.00000003127*cos(3.04512463308 + 225.5518210319*$t);
$X0 += 0.00000002700*cos(4.45467896965 + 963.6465204549*$t);
$X0 += 0.00000002778*cos(1.65860124839 + 238.39750818919*$t);
$X0 += 0.00000003029*cos(4.72630934575 + 473.2185551834*$t);
$X0 += 0.00000002671*cos(4.60029996028 + 531.9405201482*$t);
$X0 += 0.00000002914*cos(3.86169076602 + 554.31380496631*$t);
$X0 += 0.00000003087*cos(6.08851917121 + 340.2664421304*$t);
$X0 += 0.00000003438*cos(2.32466413132 + 6171.40187101109*$t);
$X0 += 0.00000002879*cos(5.61809470376 + 218.6507223522*$t);
$X0 += 0.00000003140*cos(5.02001385281 + 609.1216151605*$t);
$X0 += 0.00000003003*cos(0.53592571188 + 464.97504399731*$t);
$X0 += 0.00000003257*cos(1.52476284257 + 305.96249389171*$t);
$X0 += 0.00000003211*cos(5.64833047248 + 416.532513406*$t);
$X0 += 0.00000003265*cos(1.54950325507 + 24.7347144563*$t);
$X0 += 0.00000002644*cos(1.01963899758 + 508.5941415757*$t);
$X0 += 0.00000002764*cos(4.98225869197 + 410.59462257279*$t);
$X0 += 0.00000003428*cos(5.71088563789 + 1012.6195056799*$t);
$X0 += 0.00000002614*cos(4.07639961382 + 213.5910970313*$t);
$X0 += 0.00000003469*cos(5.28643352424 + 24.14975911971*$t);
$X0 += 0.00000002606*cos(0.81160096517 + 213.4947288117*$t);
$X0 += 0.00000003444*cos(2.56432157215 + 891.57323487331*$t);
$X0 += 0.00000002540*cos(4.32167771768 + 564.8718702632*$t);
$X0 += 0.00000002540*cos(4.32167771768 + 565.35950523021*$t);
$X0 += 0.00000002754*cos(2.69535555411 + 57.5541899867*$t);
$X0 += 0.00000002531*cos(0.59020723407 + 800.5924346291*$t);
$X0 += 0.00000002557*cos(0.66999256840 + 341.49028240779*$t);
$X0 += 0.00000002601*cos(4.54885591305 + 261.2371761149*$t);
$X0 += 0.00000003027*cos(0.20183300410 + 331.07772159029*$t);
$X0 += 0.00000002494*cos(0.58142193078 + 203.9816853659*$t);
$X0 += 0.00000002590*cos(1.76325981719 + 1190.5420625756*$t);
$X0 += 0.00000003494*cos(2.90876238684 + 534.0793841623*$t);
$X0 += 0.00000003144*cos(0.01981710217 + 1503.9649868156*$t);
$X0 += 0.00000002818*cos(3.61898449244 + 49.31067880061*$t);
$X0 += 0.00000002791*cos(4.48606671949 + 288.32451148881*$t);
$X0 += 0.00000002471*cos(1.23009614301 + 411.11588743459*$t);
$X0 += 0.00000003059*cos(3.30977686438 + 172.48911597691*$t);
$X0 += 0.00000002972*cos(0.30229231666 + 569.29165849331*$t);
$X0 += 0.00000003418*cos(5.40293550246 + 638.3959986583*$t);
$X0 += 0.00000002541*cos(4.99016167757 + 1448.09090291091*$t);
$X0 += 0.00000002663*cos(0.43151826022 + 573.6968925084*$t);
$X0 += 0.00000002439*cos(4.39632185677 + 1625.9652756968*$t);
$X0 += 0.00000002739*cos(5.72535305895 + 112.8832650427*$t);
$X0 += 0.00000002821*cos(5.66863744979 + 402.93606672331*$t);
$X0 += 0.00000003412*cos(1.27007980380 + 772.8325844196*$t);
$X0 += 0.00000002624*cos(5.85528852490 + 1624.4808029885*$t);
$X0 += 0.00000003170*cos(0.53682796950 + 1011.13503297159*$t);
$X0 += 0.00000002908*cos(4.60949958082 + 635.94831810351*$t);
$X0 += 0.00000002664*cos(2.68003479349 + 409.41896640519*$t);
$X0 += 0.00000003091*cos(1.88245278611 + 379.25961975071*$t);
$X0 += 0.00000003301*cos(1.91350932819 + 19.7936613644*$t);
$X0 += 0.00000003176*cos(3.29730129609 + 300.9095662152*$t);
$X0 += 0.00000003022*cos(5.94822554077 + 52.0189917863*$t);
$X0 += 0.00000002890*cos(1.53549747897 + 293.4323209195*$t);
$X0 += 0.00000002698*cos(1.69370735844 + 78149.06650032569*$t);
$X0 += 0.00000002558*cos(0.74578099458 + 1371.3371966683*$t);
$X0 += 0.00000002619*cos(3.80578981072 + 202.0095776906*$t);
$X0 += 0.00000003176*cos(3.75055063339 + 10101.61156723069*$t);
$X0 += 0.00000003341*cos(2.34080319182 + 345.8955164229*$t);
$X0 += 0.00000002373*cos(4.96475711609 + 130.8513158457*$t);
$X0 += 0.00000002644*cos(2.68099240015 + 305.10235190919*$t);
$X0 += 0.00000003339*cos(4.63303989765 + 2849.2983147265*$t);
$X0 += 0.00000002410*cos(1.58163612779 + 951.8525527931*$t);
$X0 += 0.00000003303*cos(2.25771292490 + 769.5729459921*$t);
$X0 += 0.00000003302*cos(4.85894681967 + 90.1520274241*$t);
$X0 += 0.00000002416*cos(6.00635580174 + 527.929045008*$t);
$X0 += 0.00000002361*cos(5.34789183737 + 905.1214974462*$t);
$X0 += 0.00000002737*cos(4.77190944455 + 1206.2199993907*$t);
$X0 += 0.00000002441*cos(3.82975575752 + 246.73489546739*$t);
$X0 += 0.00000002441*cos(0.68816310393 + 247.2225304344*$t);
$X0 += 0.00000002957*cos(4.25832811500 + 238.23075185041*$t);
$X0 += 0.00000003263*cos(0.98630889937 + 1506.93393223219*$t);
$X0 += 0.00000003293*cos(5.93270574395 + 66.1522096958*$t);
$X0 += 0.00000003241*cos(3.43806050184 + 978.4186233052*$t);
$X0 += 0.00000003149*cos(3.64971867049 + 271.9103693633*$t);
$X0 += 0.00000003149*cos(3.64971867050 + 271.4227343963*$t);
$X0 += 0.00000002328*cos(5.07609916236 + 31.73887900*$t);
$X0 += 0.00000002372*cos(0.68652074740 + 309.0345051723*$t);
$X0 += 0.00000002372*cos(3.82811340099 + 309.5221401393*$t);
$X0 += 0.00000002369*cos(4.33012817739 + 418.9801939608*$t);
$X0 += 0.00000003007*cos(4.64009260533 + 1437.7814079574*$t);
$X0 += 0.00000003034*cos(5.98346126252 + 330.8627811417*$t);
$X0 += 0.00000002345*cos(2.80677153952 + 453.9318358609*$t);
$X0 += 0.00000003118*cos(3.73398781358 + 1434.81246254079*$t);
$X0 += 0.00000002324*cos(3.85931736808 + 495.2462652364*$t);
$X0 += 0.00000002340*cos(5.41992470939 + 452.43031681009*$t);
$X0 += 0.00000002336*cos(0.04655833240 + 189.591279303*$t);
$X0 += 0.00000002920*cos(3.78758562864 + 1549.69920442121*$t);
$X0 += 0.00000002494*cos(0.79353025531 + 1187.57311715899*$t);
$X0 += 0.00000002692*cos(4.17807622816 + 425.13053311509*$t);
$X0 += 0.00000002874*cos(4.63267401857 + 1654.2764513481*$t);
$X0 += 0.00000002809*cos(5.67077170621 + 317.5843407716*$t);
$X0 += 0.00000002735*cos(3.93990204220 + 1513.05064149171*$t);
$X0 += 0.00000002949*cos(6.26993364897 + 186.71620997851*$t);
$X0 += 0.00000002320*cos(0.74326897219 + 487.38195871019*$t);
$X0 += 0.00000003113*cos(6.20902109610 + 353.28425006961*$t);
$X0 += 0.00000003086*cos(4.87476303199 + 1230.5990217789*$t);
$X0 += 0.00000002722*cos(2.16494792915 + 49.6831858161*$t);
$X0 += 0.00000003064*cos(3.68765217385 + 133.13224006171*$t);
$X0 += 0.00000003064*cos(3.68765217385 + 132.64460509469*$t);
$X0 += 0.00000002470*cos(2.78243316001 + 532.3824631329*$t);
$X0 += 0.00000002640*cos(0.51790972890 + 394.33804701421*$t);
$X0 += 0.00000002252*cos(1.84613004390 + 22.6507321964*$t);
$X0 += 0.00000003151*cos(5.26039361613 + 859.77184894361*$t);
$X0 += 0.00000002671*cos(0.92145640556 + 37.3679532925*$t);
$X0 += 0.00000002380*cos(0.86687455354 + 429.2751346993*$t);
$X0 += 0.00000002655*cos(2.72088152594 + 484.1523808627*$t);
$X0 += 0.00000003005*cos(3.02367934874 + 1929.33933741419*$t);
$X0 += 0.00000002550*cos(5.60497907633 + 496.9431862658*$t);
$X0 += 0.00000002290*cos(3.41120190653 + 455.18681390559*$t);
$X0 += 0.00000002608*cos(3.85525903926 + 422.9580392062*$t);
$X0 += 0.00000002226*cos(2.09977531258 + 47.82620609231*$t);
$X0 += 0.00000002233*cos(4.94028872789 + 877.3461408717*$t);
$X0 += 0.00000002764*cos(0.83501700112 + 356.68058425589*$t);
$X0 += 0.00000002719*cos(1.98953734068 + 177.5823711926*$t);
$X0 += 0.00000002999*cos(2.06885612973 + 1926.37039199759*$t);
$X0 += 0.00000002693*cos(3.57972778548 + 6284.8041401832*$t);
$X0 += 0.00000002369*cos(1.19578023344 + 70.88081446661*$t);
$X0 += 0.00000002498*cos(3.71851216671 + 315.1512144318*$t);
$X0 += 0.00000002204*cos(3.20466206592 + 442.886135597*$t);
$X0 += 0.00000002261*cos(3.32534753019 + 621.2335891349*$t);
$X0 += 0.00000002213*cos(6.16263836668 + 1189.0575898673*$t);
$X0 += 0.00000002492*cos(2.67366070604 + 406.9712858504*$t);
$X0 += 0.00000002976*cos(1.45402284302 + 1014.1039783882*$t);
$X0 += 0.00000002840*cos(5.35710509350 + 522.3336006103*$t);
$X0 += 0.00000002340*cos(1.72448626630 + 440.43845504219*$t);
$X0 += 0.00000003012*cos(1.13512104183 + 15.9096922111*$t);
$X0 += 0.00000003012*cos(4.27671369542 + 16.3973271781*$t);
$X0 += 0.00000002372*cos(0.24227395275 + 132.5964209849*$t);
$X0 += 0.00000002232*cos(2.42168492591 + 158.12984768129*$t);
$X0 += 0.00000002961*cos(4.37134416172 + 286.3524038135*$t);
$X0 += 0.00000002961*cos(4.37134416172 + 286.8400387805*$t);
return $X0;
}
function Neptune_X1($t) // 342 terms of order 1
{
$X1 = 0.00357822049*cos(4.60537437341 + 0.2438174835*$t);
$X1 += 0.00256200629*cos(2.01693264233 + 36.892380413*$t);
$X1 += 0.00242677799*cos(5.46293481092 + 39.86132582961*$t);
$X1 += 0.00106073143*cos(3.07856435709 + 37.88921815429*$t);
$X1 += 0.00103735195*cos(6.08270773807 + 38.3768531213*$t);
$X1 += 0.00118508231*cos(2.88623136735 + 76.50988875911*$t);
$X1 += 0.00021930692*cos(3.20019569049 + 35.40790770471*$t);
$X1 += 0.00017445772*cos(4.26396070854 + 41.3457985379*$t);
$X1 += 0.00013038843*cos(5.36684741537 + 3.21276290011*$t);
$X1 += 0.00004928885*cos(2.08893204170 + 73.5409433425*$t);
$X1 += 0.00002742686*cos(4.06389633495 + 77.9943614674*$t);
$X1 += 0.00002155134*cos(4.11881068429 + 4.6972356084*$t);
$X1 += 0.00001882800*cos(4.42038284259 + 33.9234349964*$t);
$X1 += 0.00001572888*cos(1.07810551784 + 114.6429243969*$t);
$X1 += 0.00001326507*cos(6.02985868883 + 75.0254160508*$t);
$X1 += 0.00001343094*cos(3.03838214796 + 42.83027124621*$t);
$X1 += 0.00000897979*cos(4.26993024752 + 426.8420083595*$t);
$X1 += 0.00000865617*cos(1.66618456177 + 37.8555882595*$t);
$X1 += 0.00000849963*cos(5.81599535394 + 38.89811798311*$t);
$X1 += 0.00000922754*cos(3.34516686314 + 72.05647063421*$t);
$X1 += 0.00000726258*cos(4.24833812431 + 36.404745446*$t);
$X1 += 0.00000778220*cos(5.84479856092 + 206.42936592071*$t);
$X1 += 0.00000754025*cos(5.33205816073 + 220.6564599223*$t);
$X1 += 0.00000607406*cos(0.10576615596 + 1059.6257476727*$t);
$X1 += 0.00000571831*cos(2.42930874906 + 522.8212355773*$t);
$X1 += 0.00000560995*cos(1.91555986158 + 537.0483295789*$t);
$X1 += 0.00000501078*cos(1.71335109406 + 28.81562556571*$t);
$X1 += 0.00000493238*cos(5.24702261334 + 39.3736908626*$t);
$X1 += 0.00000474802*cos(4.40715596351 + 98.6561710411*$t);
$X1 += 0.00000453975*cos(1.71443209341 + 35.9291725665*$t);
$X1 += 0.00000471731*cos(4.84217171915 + 1.7282901918*$t);
$X1 += 0.00000410057*cos(5.76579953705 + 40.8245336761*$t);
$X1 += 0.00000366899*cos(5.76755572930 + 47.9380806769*$t);
$X1 += 0.00000450109*cos(1.25670451550 + 76.0222537921*$t);
$X1 += 0.00000354347*cos(6.27109348494 + 1.24065522479*$t);
$X1 += 0.00000300159*cos(2.88687992256 + 6.1817083167*$t);
$X1 += 0.00000327501*cos(4.20479564636 + 33.43580002939*$t);
$X1 += 0.00000174973*cos(5.64027558321 + 32.4389622881*$t);
$X1 += 0.00000171503*cos(4.43985554308 + 34.1840674273*$t);
$X1 += 0.00000156749*cos(2.59545084410 + 79.47883417571*$t);
$X1 += 0.00000152549*cos(0.58219894744 + 30.300098274*$t);
$X1 += 0.00000150775*cos(3.03954929901 + 42.5696388153*$t);
$X1 += 0.00000162280*cos(0.79977049351 + 31.2633061205*$t);
$X1 += 0.00000131609*cos(1.62895622934 + 7.83293736379*$t);
$X1 += 0.00000136159*cos(4.57878446789 + 70.5719979259*$t);
$X1 += 0.00000134616*cos(0.39184091634 + 45.49040012211*$t);
$X1 += 0.00000116304*cos(0.61710594601 + 46.4536079686*$t);
$X1 += 0.00000115918*cos(1.81843338530 + 44.31474395451*$t);
$X1 += 0.00000110293*cos(6.26561089969 + 35.4560918145*$t);
$X1 += 0.00000099282*cos(5.06218386285 + 2.7251279331*$t);
$X1 += 0.00000099914*cos(1.21626942611 + 41.2976144281*$t);
$X1 += 0.00000108706*cos(3.09142093314 + 113.15845168861*$t);
$X1 += 0.00000088965*cos(4.26680850699 + 60.52313540329*$t);
$X1 += 0.00000086886*cos(5.46872067794 + 31.9513273211*$t);
$X1 += 0.00000072232*cos(3.50587405737 + 640.1411037975*$t);
$X1 += 0.00000086985*cos(4.80098575405 + 419.72846135871*$t);
$X1 += 0.00000073430*cos(4.36511226727 + 70.08436295889*$t);
$X1 += 0.00000053395*cos(4.46520807878 + 433.9555553603*$t);
$X1 += 0.00000057451*cos(1.08003733120 + 213.5429129215*$t);
$X1 += 0.00000051458*cos(4.01726374522 + 69.3963417583*$t);
$X1 += 0.00000048797*cos(6.01365170443 + 111.67397898031*$t);
$X1 += 0.00000048557*cos(6.24808481100 + 2.6769438233*$t);
$X1 += 0.00000042206*cos(3.23823062186 + 74.53778108379*$t);
$X1 += 0.00000042550*cos(1.67247318349 + 7.66618102501*$t);
$X1 += 0.00000039462*cos(5.84051041865 + 31.7845709823*$t);
$X1 += 0.00000039445*cos(0.94630986910 + 12.77399045571*$t);
$X1 += 0.00000042389*cos(5.59019905902 + 110.189506272*$t);
$X1 += 0.00000044118*cos(0.44615133445 + 1589.3167127673*$t);
$X1 += 0.00000037988*cos(2.73850879415 + 6.3484646555*$t);
$X1 += 0.00000037802*cos(5.98781130211 + 14.258463164*$t);
$X1 += 0.00000036280*cos(6.27894536142 + 273.8222308413*$t);
$X1 += 0.00000037247*cos(4.62968774107 + 73.0533083755*$t);
$X1 += 0.00000036282*cos(2.85336450932 + 84.5866436064*$t);
$X1 += 0.00000040018*cos(4.27418471085 + 4.4366031775*$t);
$X1 += 0.00000032400*cos(1.64328879813 + 44.96913526031*$t);
$X1 += 0.00000031842*cos(5.16652228087 + 34.9202727377*$t);
$X1 += 0.00000032037*cos(2.94551844856 + 27.3311528574*$t);
$X1 += 0.00000034456*cos(3.37152599360 + 529.9347825781*$t);
$X1 += 0.00000031208*cos(1.73420111381 + 1052.51220067191*$t);
$X1 += 0.00000030002*cos(2.33639558082 + 1066.7392946735*$t);
$X1 += 0.00000033805*cos(6.04114496470 + 149.8070146181*$t);
$X1 += 0.00000033096*cos(2.45794089359 + 116.12739710521*$t);
$X1 += 0.00000030571*cos(4.02151161164 + 22.3900997655*$t);
$X1 += 0.00000024020*cos(0.23821463973 + 63.9797157869*$t);
$X1 += 0.00000023780*cos(4.34619784366 + 105.76971804189*$t);
$X1 += 0.00000023110*cos(2.51348904373 + 23.87457247379*$t);
$X1 += 0.00000022233*cos(1.21582777350 + 174.9222423167*$t);
$X1 += 0.00000021377*cos(3.74139728076 + 316.6356871401*$t);
$X1 += 0.00000025400*cos(4.52702077197 + 106.73292588839*$t);
$X1 += 0.00000020754*cos(0.94473828111 + 5.6604434549*$t);
$X1 += 0.00000025572*cos(5.46068636869 + 529.44714761109*$t);
$X1 += 0.00000019878*cos(1.01805940417 + 32.9602271499*$t);
$X1 += 0.00000019754*cos(4.49000124955 + 49.42255338521*$t);
$X1 += 0.00000019241*cos(6.01413524726 + 7.14491616321*$t);
$X1 += 0.00000017979*cos(1.48478132886 + 62.4952430786*$t);
$X1 += 0.00000019513*cos(5.64767624982 + 68.5998902506*$t);
$X1 += 0.00000018273*cos(5.20130356006 + 227.77000692311*$t);
$X1 += 0.00000017552*cos(5.80350239388 + 69.0875252176*$t);
$X1 += 0.00000016704*cos(3.94483252805 + 40.8581635709*$t);
$X1 += 0.00000016996*cos(1.10449263633 + 91.54262404029*$t);
$X1 += 0.00000016800*cos(0.51632981099 + 30.4668546128*$t);
$X1 += 0.00000016800*cos(0.51632981099 + 30.95448957981*$t);
$X1 += 0.00000016400*cos(5.02426208775 + 33.26904369061*$t);
$X1 += 0.00000017242*cos(0.18352088447 + 11.55015017831*$t);
$X1 += 0.00000015590*cos(1.99260946960 + 37.1048287341*$t);
$X1 += 0.00000015590*cos(5.48957045033 + 39.6488775085*$t);
$X1 += 0.00000015469*cos(0.19931591320 + 43.79347909271*$t);
$X1 += 0.00000016590*cos(2.76837508684 + 33.71098667531*$t);
$X1 += 0.00000019347*cos(5.63498287914 + 152.77596003471*$t);
$X1 += 0.00000014994*cos(2.71995630411 + 319.06881347989*$t);
$X1 += 0.00000014395*cos(0.95950619453 + 110.45013870291*$t);
$X1 += 0.00000015528*cos(1.16348592635 + 79.43065006591*$t);
$X1 += 0.00000013727*cos(2.45811249773 + 43.484662552*$t);
$X1 += 0.00000013988*cos(3.96979676090 + 4.2096006414*$t);
$X1 += 0.00000014467*cos(0.42164709009 + 108.70503356371*$t);
$X1 += 0.00000016652*cos(3.17617180933 + 304.84171947829*$t);
$X1 += 0.00000015153*cos(3.21783791411 + 72.31710306511*$t);
$X1 += 0.00000012810*cos(2.37864271463 + 11.2895177474*$t);
$X1 += 0.00000012751*cos(0.61424962834 + 45.7992166628*$t);
$X1 += 0.00000013293*cos(4.71511827202 + 43.0427195673*$t);
$X1 += 0.00000012751*cos(2.55685741962 + 515.70768857651*$t);
$X1 += 0.00000011616*cos(2.50185569269 + 97.17169833279*$t);
$X1 += 0.00000011538*cos(6.20327139591 + 633.0275567967*$t);
$X1 += 0.00000011046*cos(1.26188662646 + 25.8466801491*$t);
$X1 += 0.00000011032*cos(3.82567311622 + 4.8639919472*$t);
$X1 += 0.00000011189*cos(3.94939417077 + 83.1021708981*$t);
$X1 += 0.00000010860*cos(0.38739756984 + 9.8050450391*$t);
$X1 += 0.00000010958*cos(1.48375898962 + 415.04804069769*$t);
$X1 += 0.00000010244*cos(0.26615444717 + 71.09326278771*$t);
$X1 += 0.00000011427*cos(1.50679043329 + 129.6756596781*$t);
$X1 += 0.00000009895*cos(5.62468142972 + 251.6759485593*$t);
$X1 += 0.00000009802*cos(1.83814841533 + 44.48150029329*$t);
$X1 += 0.00000011029*cos(4.69741395112 + 143.38148881789*$t);
$X1 += 0.00000009235*cos(5.99370019321 + 199.3158189199*$t);
$X1 += 0.00000008899*cos(3.54958918415 + 7.3573644843*$t);
$X1 += 0.00000007746*cos(5.89688581764 + 103.3365917021*$t);
$X1 += 0.00000008691*cos(3.86130807292 + 32.7477788288*$t);
$X1 += 0.00000007714*cos(5.08136079606 + 65.46418849521*$t);
$X1 += 0.00000008007*cos(1.80952555463 + 544.1618765797*$t);
$X1 += 0.00000007513*cos(1.47497152514 + 69.6087900794*$t);
$X1 += 0.00000007336*cos(5.00489054996 + 15.7429358723*$t);
$X1 += 0.00000007195*cos(6.14029832936 + 949.4194264533*$t);
$X1 += 0.00000009601*cos(0.96952505042 + 80.963306884*$t);
$X1 += 0.00000008094*cos(3.27383873772 + 526.7533888404*$t);
$X1 += 0.00000008109*cos(1.06293290956 + 533.1161763158*$t);
$X1 += 0.00000006906*cos(5.27751864757 + 137.2768416459*$t);
$X1 += 0.00000007455*cos(5.82601593331 + 105.2484531801*$t);
$X1 += 0.00000007826*cos(4.02401038086 + 77.0311536209*$t);
$X1 += 0.00000006529*cos(0.86598314454 + 65.2035560643*$t);
$X1 += 0.00000007134*cos(3.62090018772 + 44.00592741381*$t);
$X1 += 0.00000006186*cos(2.42103444520 + 31.4757544416*$t);
$X1 += 0.00000006186*cos(2.42103444520 + 30.9881194746*$t);
$X1 += 0.00000007698*cos(0.17876132177 + 14.47091148511*$t);
$X1 += 0.00000007434*cos(5.53413189412 + 146.8380692015*$t);
$X1 += 0.00000006317*cos(0.53538901275 + 66.9486612035*$t);
$X1 += 0.00000006903*cos(6.20818943193 + 75.98862389731*$t);
$X1 += 0.00000005591*cos(1.90701487438 + 448.98829064149*$t);
$X1 += 0.00000006425*cos(5.04706195455 + 678.27413943531*$t);
$X1 += 0.00000005483*cos(3.18327336885 + 34.44469985821*$t);
$X1 += 0.00000005483*cos(4.29890655108 + 42.3090063844*$t);
$X1 += 0.00000005519*cos(2.84195707915 + 853.4401992355*$t);
$X1 += 0.00000005483*cos(3.53790147295 + 100.14064374939*$t);
$X1 += 0.00000005483*cos(3.53790147295 + 100.6282787164*$t);
$X1 += 0.00000006288*cos(1.03240051727 + 143.9027536797*$t);
$X1 += 0.00000006239*cos(5.78066710550 + 17.76992530181*$t);
$X1 += 0.00000005246*cos(5.09114965169 + 209.6107596584*$t);
$X1 += 0.00000005331*cos(3.26471064810 + 45.9659730016*$t);
$X1 += 0.00000005131*cos(6.10583196953 + 217.4750661846*$t);
$X1 += 0.00000005325*cos(4.39759756568 + 19.2543980101*$t);
$X1 += 0.00000005172*cos(0.86928942503 + 25.3590451821*$t);
$X1 += 0.00000005139*cos(2.60427452606 + 6.86972951729*$t);
$X1 += 0.00000005992*cos(1.19287924990 + 9.3174100721*$t);
$X1 += 0.00000005011*cos(3.34804654196 + 38.85242600079*$t);
$X1 += 0.00000004975*cos(1.43964900757 + 525.2543619171*$t);
$X1 += 0.00000004910*cos(5.04787040559 + 45.277951801*$t);
$X1 += 0.00000005250*cos(4.87798510402 + 0.719390363*$t);
$X1 += 0.00000004731*cos(1.56230403811 + 40.3825906914*$t);
$X1 += 0.00000004731*cos(2.77828322823 + 36.3711155512*$t);
$X1 += 0.00000005910*cos(6.11804979728 + 6168.43292559449*$t);
$X1 += 0.00000004700*cos(6.23394030506 + 50.9070260935*$t);
$X1 += 0.00000005127*cos(0.06949696047 + 140.9338082631*$t);
$X1 += 0.00000005321*cos(3.67018745291 + 1104.87233031131*$t);
$X1 += 0.00000006339*cos(2.59865692618 + 10175.3963280567*$t);
$X1 += 0.00000004983*cos(3.03193615352 + 1090.6452363097*$t);
$X1 += 0.00000005487*cos(4.85218420019 + 180.03005174739*$t);
$X1 += 0.00000004560*cos(3.95095239655 + 323.74923414091*$t);
$X1 += 0.00000004689*cos(1.24271255508 + 1068.22376738181*$t);
$X1 += 0.00000005562*cos(1.26401999292 + 10098.64262181409*$t);
$X1 += 0.00000004432*cos(2.40638908148 + 415.7963080956*$t);
$X1 += 0.00000004456*cos(6.17485306628 + 235.68919520349*$t);
$X1 += 0.00000004289*cos(5.97528879519 + 1051.0277279636*$t);
$X1 += 0.00000004145*cos(3.13378236518 + 33.6964324603*$t);
$X1 += 0.00000004167*cos(1.72807331665 + 416.532513406*$t);
$X1 += 0.00000004107*cos(2.49036069416 + 61.01077037031*$t);
$X1 += 0.00000004088*cos(5.45739808026 + 423.66061462181*$t);
$X1 += 0.00000005027*cos(4.43953537205 + 21.7020785649*$t);
$X1 += 0.00000004030*cos(5.01269280095 + 216.72430665921*$t);
$X1 += 0.00000004278*cos(4.65333719777 + 310.4707937708*$t);
$X1 += 0.00000004013*cos(1.39689438468 + 104275.10267753768*$t);
$X1 += 0.00000004505*cos(1.22507263591 + 291.9478482112*$t);
$X1 += 0.00000003959*cos(6.18034607330 + 210.36151918381*$t);
$X1 += 0.00000003962*cos(4.02082978591 + 978.93988816699*$t);
$X1 += 0.00000005561*cos(1.74843583918 + 1409.47023230609*$t);
$X1 += 0.00000005073*cos(3.58205424554 + 1498.3359125231*$t);
$X1 += 0.00000004227*cos(1.48715312131 + 534.38820070301*$t);
$X1 += 0.00000004054*cos(4.02884108627 + 430.02340209721*$t);
$X1 += 0.00000003863*cos(2.24264031920 + 1127.50624756031*$t);
$X1 += 0.00000004367*cos(1.71153359581 + 58.9837809408*$t);
$X1 += 0.00000004694*cos(3.33961949377 + 77.5067265004*$t);
$X1 += 0.00000004144*cos(3.59057653937 + 518.1408149163*$t);
$X1 += 0.00000004289*cos(3.29776439152 + 921.3206991231*$t);
$X1 += 0.00000004039*cos(3.79987840474 + 1622.76932774409*$t);
$X1 += 0.00000005180*cos(5.37115331697 + 99.1438060081*$t);
$X1 += 0.00000004845*cos(6.04321981604 + 136.78920667889*$t);
$X1 += 0.00000004827*cos(2.78459346340 + 418.2439886504*$t);
$X1 += 0.00000003722*cos(0.22932453326 + 1065.2548219652*$t);
$X1 += 0.00000004729*cos(3.76762324044 + 421.212934067*$t);
$X1 += 0.00000003490*cos(5.25995346649 + 986.8041946932*$t);
$X1 += 0.00000003715*cos(6.02151166051 + 254.10907489909*$t);
$X1 += 0.00000003488*cos(1.23861297869 + 187.9400502559*$t);
$X1 += 0.00000003989*cos(3.79961685835 + 95.7354097343*$t);
$X1 += 0.00000003603*cos(0.65230587403 + 67.1154175423*$t);
$X1 += 0.00000003530*cos(2.51065807549 + 24.36220744081*$t);
$X1 += 0.00000003538*cos(3.09031960755 + 57.4993082325*$t);
$X1 += 0.00000003838*cos(1.99815683749 + 979.90309601349*$t);
$X1 += 0.00000003615*cos(3.17553643085 + 493.2862196486*$t);
$X1 += 0.00000003457*cos(0.22865254260 + 807.70598162989*$t);
$X1 += 0.00000003648*cos(3.01000228275 + 647.25465079831*$t);
$X1 += 0.00000004048*cos(4.68171378592 + 979.69064769239*$t);
$X1 += 0.00000004414*cos(3.57495606042 + 1062.59469308931*$t);
$X1 += 0.00000003631*cos(2.31921127570 + 486.1726726478*$t);
$X1 += 0.00000003347*cos(5.70639780704 + 151.2914873264*$t);
$X1 += 0.00000003305*cos(0.52158954660 + 1544.07013012871*$t);
$X1 += 0.00000003428*cos(1.68792809396 + 107.2205608554*$t);
$X1 += 0.00000003286*cos(5.12949558917 + 1131.6990332543*$t);
$X1 += 0.00000003389*cos(1.65565102713 + 28.98238190449*$t);
$X1 += 0.00000003353*cos(3.87388681549 + 10289.7954349701*$t);
$X1 += 0.00000003214*cos(2.40799794941 + 569.5522909242*$t);
$X1 += 0.00000003210*cos(5.76688710335 + 114.1552894299*$t);
$X1 += 0.00000003353*cos(3.19692974184 + 157.8837694654*$t);
$X1 += 0.00000003339*cos(3.69632773816 + 443.0985839181*$t);
$X1 += 0.00000003188*cos(1.05807532391 + 361.13400238079*$t);
$X1 += 0.00000003390*cos(0.82325646834 + 1558.2972241303*$t);
$X1 += 0.00000003933*cos(0.51543027693 + 313.43973918739*$t);
$X1 += 0.00000003131*cos(5.23811887945 + 275.3067035496*$t);
$X1 += 0.00000003156*cos(4.66486358528 + 431.8404353331*$t);
$X1 += 0.00000003993*cos(3.33001170426 + 67.6366824041*$t);
$X1 += 0.00000003708*cos(1.81916567333 + 500.39976664941*$t);
$X1 += 0.00000004051*cos(2.84746860357 + 59.038662695*$t);
$X1 += 0.00000003757*cos(3.59917867608 + 296.4012663361*$t);
$X1 += 0.00000003138*cos(5.35145867078 + 347.1193567003*$t);
$X1 += 0.00000003086*cos(3.24315098824 + 392.9017584157*$t);
$X1 += 0.00000003466*cos(0.02941146445 + 215.1941419686*$t);
$X1 += 0.00000003139*cos(4.67079139650 + 159.36824217371*$t);
$X1 += 0.00000003466*cos(1.90282193275 + 2145.34674583789*$t);
$X1 += 0.00000003737*cos(1.95939265626 + 449.0364747513*$t);
$X1 += 0.00000003286*cos(3.39700619187 + 435.44002806861*$t);
$X1 += 0.00000003043*cos(3.45909355839 + 2.20386307129*$t);
$X1 += 0.00000003999*cos(1.21766663097 + 6245.1866318371*$t);
$X1 += 0.00000003999*cos(4.35925928456 + 6244.69899687009*$t);
$X1 += 0.00000002999*cos(1.64598289911 + 526.00262931501*$t);
$X1 += 0.00000003014*cos(3.95092279768 + 1054.94532701169*$t);
$X1 += 0.00000003091*cos(2.95397758261 + 42.997027585*$t);
$X1 += 0.00000003274*cos(1.10162661548 + 736.1203310153*$t);
$X1 += 0.00000002965*cos(2.69144881941 + 533.8669358412*$t);
$X1 += 0.00000003149*cos(0.77764778909 + 103.7639804718*$t);
$X1 += 0.00000003610*cos(3.04477019722 + 55.05162767771*$t);
$X1 += 0.00000002937*cos(4.36852075939 + 385.2523923381*$t);
$X1 += 0.00000002903*cos(5.92315544183 + 117.5636857037*$t);
$X1 += 0.00000002968*cos(2.85171539624 + 613.31440085451*$t);
$X1 += 0.00000003097*cos(2.85040396879 + 1395.24313830449*$t);
$X1 += 0.00000002931*cos(5.17875295945 + 202.4972126576*$t);
$X1 += 0.00000003013*cos(3.06605929280 + 121.2352065359*$t);
$X1 += 0.00000003206*cos(1.29027400076 + 53.40958840249*$t);
$X1 += 0.00000003269*cos(5.16847517364 + 480.00777927849*$t);
$X1 += 0.00000003948*cos(3.85972628729 + 112.8832650427*$t);
$X1 += 0.00000002824*cos(1.57846497121 + 176.406715025*$t);
$X1 += 0.00000002827*cos(1.93940329091 + 429.81095377611*$t);
$X1 += 0.00000003348*cos(5.12243609352 + 6284.8041401832*$t);
$X1 += 0.00000002862*cos(0.86276885894 + 384.02855206069*$t);
$X1 += 0.00000003228*cos(0.42457598020 + 52.6039471229*$t);
$X1 += 0.00000003446*cos(3.75606585057 + 62.0076081116*$t);
$X1 += 0.00000003096*cos(3.26760360935 + 71.82946809809*$t);
$X1 += 0.00000003031*cos(4.66996407487 + 494.2348732801*$t);
$X1 += 0.00000003021*cos(1.39292760491 + 328.5964111407*$t);
$X1 += 0.00000002731*cos(2.36952809744 + 432.471082652*$t);
$X1 += 0.00000003171*cos(0.25949036332 + 10215.0138364028*$t);
$X1 += 0.00000002674*cos(0.72177739894 + 158.12984768129*$t);
$X1 += 0.00000002901*cos(5.80027365050 + 559.4697985068*$t);
$X1 += 0.00000002631*cos(5.78146252380 + 2008.8013566425*$t);
$X1 += 0.00000002695*cos(5.11715867535 + 81.61769818981*$t);
$X1 += 0.00000002695*cos(1.97556602176 + 81.13006322279*$t);
$X1 += 0.00000002721*cos(2.68965946829 + 326.1823604807*$t);
$X1 += 0.00000002775*cos(5.84695952836 + 457.8614969965*$t);
$X1 += 0.00000003054*cos(1.52217085552 + 6281.8351947666*$t);
$X1 += 0.00000002852*cos(4.47706032032 + 186.71620997851*$t);
$X1 += 0.00000002538*cos(0.16145086268 + 111.18634401329*$t);
$X1 += 0.00000002835*cos(4.50055998275 + 419.50145882259*$t);
$X1 += 0.00000002868*cos(2.09813621145 + 844.56699288049*$t);
$X1 += 0.00000002530*cos(1.04013419881 + 1050.7525413177*$t);
$X1 += 0.00000002843*cos(2.58892628620 + 830.3398988789*$t);
$X1 += 0.00000002848*cos(3.12250765680 + 659.36662477269*$t);
$X1 += 0.00000003031*cos(4.13022602708 + 406.3469551246*$t);
$X1 += 0.00000002907*cos(5.28583383732 + 573.6968925084*$t);
$X1 += 0.00000002536*cos(3.44172011173 + 82.6145359311*$t);
$X1 += 0.00000002957*cos(0.45041658093 + 947.70795120889*$t);
$X1 += 0.00000003321*cos(2.30536254604 + 449.9996825978*$t);
$X1 += 0.00000003117*cos(3.17172140219 + 457.32567791969*$t);
$X1 += 0.00000002902*cos(2.94761781535 + 10212.0448909862*$t);
$X1 += 0.00000002459*cos(2.17142711813 + 450.73339578069*$t);
$X1 += 0.00000002557*cos(2.89791026532 + 525.4813644532*$t);
$X1 += 0.00000002624*cos(1.78027142371 + 946.2234785006*$t);
$X1 += 0.00000002417*cos(4.80936350850 + 351.5727748252*$t);
$X1 += 0.00000002454*cos(4.84992044892 + 196.01680510321*$t);
$X1 += 0.00000002585*cos(0.99587951695 + 248.70700314271*$t);
$X1 += 0.00000002549*cos(1.80324449988 + 1062.80714141041*$t);
$X1 += 0.00000002615*cos(2.49010683388 + 425.13053311509*$t);
$X1 += 0.00000002387*cos(3.61270640757 + 654.3681977991*$t);
$X1 += 0.00000002439*cos(6.16957116292 + 462.74230389109*$t);
$X1 += 0.00000002367*cos(4.32238656757 + 107.52937739611*$t);
$X1 += 0.00000002538*cos(2.61932649618 + 481.2316195559*$t);
$X1 += 0.00000002479*cos(1.99143603619 + 205.9417309537*$t);
$X1 += 0.00000002791*cos(0.73480816467 + 24.14975911971*$t);
$X1 += 0.00000002626*cos(1.16663444616 + 213.0552779545*$t);
$X1 += 0.00000002445*cos(4.84988920933 + 146.87169909629*$t);
$X1 += 0.00000002575*cos(1.89431453798 + 86.07111631471*$t);
$X1 += 0.00000003120*cos(5.91742201237 + 456.36247007319*$t);
$X1 += 0.00000002587*cos(0.02224873460 + 400.8209466961*$t);
$X1 += 0.00000002261*cos(4.82066845150 + 644.33388949151*$t);
$X1 += 0.00000002796*cos(5.01395178381 + 216.67861467689*$t);
$X1 += 0.00000002896*cos(2.29072801127 + 1685.2959399851*$t);
$X1 += 0.00000002453*cos(3.24288673382 + 109.9625037359*$t);
$X1 += 0.00000002325*cos(4.96633817815 + 442.886135597*$t);
$X1 += 0.00000002387*cos(5.32424727918 + 599.0873068529*$t);
$X1 += 0.00000002873*cos(3.56351208170 + 834.5326845729*$t);
$X1 += 0.00000002963*cos(0.77021714990 + 2119.00767786191*$t);
$X1 += 0.00000002233*cos(5.94426610995 + 709.29362807231*$t);
$X1 += 0.00000002337*cos(4.30558394222 + 210.5739675049*$t);
$X1 += 0.00000002259*cos(3.67528651606 + 29.5036467663*$t);
$X1 += 0.00000002300*cos(0.62755545112 + 986.0534351678*$t);
$X1 += 0.00000002199*cos(2.78438991669 + 606.2008538537*$t);
$X1 += 0.00000002325*cos(3.26991047297 + 109.701871305*$t);
return $X1*$t;
}
function Neptune_X2($t) // 113 terms of order 2
{
$X2 = 0.01620002167*cos(0.60038473142 + 38.3768531213*$t);
$X2 += 0.00028138323*cos(5.58440767451 + 0.2438174835*$t);
$X2 += 0.00012318619*cos(2.58513114618 + 39.86132582961*$t);
$X2 += 0.00008346956*cos(5.13440715484 + 37.88921815429*$t);
$X2 += 0.00005131003*cos(5.12974075920 + 76.50988875911*$t);
$X2 += 0.00004109792*cos(1.46495026130 + 36.892380413*$t);
$X2 += 0.00001369663*cos(3.55762715050 + 1.7282901918*$t);
$X2 += 0.00000633706*cos(2.38135108376 + 3.21276290011*$t);
$X2 += 0.00000583006*cos(1.54592369321 + 41.3457985379*$t);
$X2 += 0.00000546517*cos(0.70972594452 + 75.0254160508*$t);
$X2 += 0.00000246224*cos(2.44618778574 + 213.5429129215*$t);
$X2 += 0.00000159773*cos(1.26414365966 + 206.42936592071*$t);
$X2 += 0.00000156619*cos(3.61656709171 + 220.6564599223*$t);
$X2 += 0.00000191674*cos(2.17166123081 + 529.9347825781*$t);
$X2 += 0.00000188212*cos(4.43184732741 + 35.40790770471*$t);
$X2 += 0.00000117788*cos(4.12530218101 + 522.8212355773*$t);
$X2 += 0.00000114488*cos(0.05081176794 + 35.9291725665*$t);
$X2 += 0.00000112666*cos(0.21220394551 + 537.0483295789*$t);
$X2 += 0.00000105949*cos(1.13080468733 + 40.8245336761*$t);
$X2 += 0.00000077696*cos(0.84633184914 + 77.9943614674*$t);
$X2 += 0.00000090798*cos(2.05479887039 + 73.5409433425*$t);
$X2 += 0.00000067696*cos(2.44679430551 + 426.8420083595*$t);
$X2 += 0.00000074860*cos(1.44346648461 + 4.6972356084*$t);
$X2 += 0.00000064717*cos(6.06001471150 + 34.9202727377*$t);
$X2 += 0.00000051378*cos(6.13002795973 + 36.404745446*$t);
$X2 += 0.00000050205*cos(0.67007332287 + 42.83027124621*$t);
$X2 += 0.00000040929*cos(6.22049348014 + 33.9234349964*$t);
$X2 += 0.00000036136*cos(6.15460243008 + 98.6561710411*$t);
$X2 += 0.00000033953*cos(5.02568302050 + 1059.6257476727*$t);
$X2 += 0.00000034603*cos(3.26702076082 + 76.0222537921*$t);
$X2 += 0.00000035441*cos(2.49518827466 + 31.2633061205*$t);
$X2 += 0.00000029614*cos(3.34814694529 + 28.81562556571*$t);
$X2 += 0.00000031027*cos(4.97087448592 + 45.49040012211*$t);
$X2 += 0.00000035521*cos(1.13028002523 + 39.3736908626*$t);
$X2 += 0.00000025488*cos(4.04320892614 + 47.9380806769*$t);
$X2 += 0.00000020115*cos(3.93227849656 + 1.24065522479*$t);
$X2 += 0.00000014328*cos(2.73754899228 + 433.9555553603*$t);
$X2 += 0.00000015503*cos(3.13160557995 + 114.6429243969*$t);
$X2 += 0.00000016998*cos(0.93393874821 + 33.43580002939*$t);
$X2 += 0.00000013166*cos(0.39556817176 + 419.72846135871*$t);
$X2 += 0.00000013053*cos(6.11304367644 + 60.52313540329*$t);
$X2 += 0.00000010637*cos(5.94332175983 + 34.1840674273*$t);
$X2 += 0.00000009610*cos(1.65699013342 + 640.1411037975*$t);
$X2 += 0.00000009354*cos(1.41415954295 + 42.5696388153*$t);
$X2 += 0.00000011447*cos(6.19793150566 + 71.5688356672*$t);
$X2 += 0.00000008454*cos(2.75562169800 + 2.7251279331*$t);
$X2 += 0.00000009012*cos(4.44112001347 + 72.05647063421*$t);
$X2 += 0.00000009594*cos(5.79483289118 + 69.3963417583*$t);
$X2 += 0.00000007419*cos(3.49645345230 + 227.77000692311*$t);
$X2 += 0.00000006800*cos(5.14250085135 + 113.15845168861*$t);
$X2 += 0.00000006267*cos(0.79586518424 + 1066.7392946735*$t);
$X2 += 0.00000006895*cos(4.31090775556 + 111.67397898031*$t);
$X2 += 0.00000005770*cos(1.23253284004 + 32.4389622881*$t);
$X2 += 0.00000005686*cos(2.23805923850 + 30.300098274*$t);
$X2 += 0.00000006679*cos(4.85529332414 + 258.78949556011*$t);
$X2 += 0.00000007799*cos(1.58396135295 + 7.3573644843*$t);
$X2 += 0.00000005906*cos(5.92485931723 + 44.31474395451*$t);
$X2 += 0.00000005606*cos(5.17941805418 + 46.4536079686*$t);
$X2 += 0.00000005525*cos(3.61911776351 + 1052.51220067191*$t);
$X2 += 0.00000007257*cos(0.17315189128 + 1097.7587833105*$t);
$X2 += 0.00000005427*cos(1.80586256737 + 105.76971804189*$t);
$X2 += 0.00000005179*cos(4.25986194250 + 515.70768857651*$t);
$X2 += 0.00000005163*cos(6.27919257182 + 7.83293736379*$t);
$X2 += 0.00000004688*cos(2.52139212878 + 222.14093263061*$t);
$X2 += 0.00000005379*cos(5.86341629561 + 22.3900997655*$t);
$X2 += 0.00000004607*cos(4.89100806572 + 549.1603035533*$t);
$X2 += 0.00000004101*cos(0.29016053329 + 213.0552779545*$t);
$X2 += 0.00000004262*cos(5.51395238453 + 204.9448932124*$t);
$X2 += 0.00000003916*cos(0.21419544093 + 207.913838629*$t);
$X2 += 0.00000004089*cos(4.97684127402 + 304.84171947829*$t);
$X2 += 0.00000003729*cos(1.40848954224 + 199.3158189199*$t);
$X2 += 0.00000003680*cos(5.54809318630 + 1589.3167127673*$t);
$X2 += 0.00000003702*cos(1.01863119774 + 319.06881347989*$t);
$X2 += 0.00000004832*cos(1.26423594188 + 215.0273856298*$t);
$X2 += 0.00000003474*cos(1.17401543445 + 103.3365917021*$t);
$X2 += 0.00000003298*cos(0.10619126376 + 544.1618765797*$t);
$X2 += 0.00000004521*cos(0.07911565781 + 108.2173985967*$t);
$X2 += 0.00000003967*cos(2.67776762695 + 944.7390057923*$t);
$X2 += 0.00000004059*cos(3.01104350847 + 149.8070146181*$t);
$X2 += 0.00000004009*cos(5.61852534309 + 533.1161763158*$t);
$X2 += 0.00000003288*cos(1.44957894842 + 407.9344936969*$t);
$X2 += 0.00000003976*cos(5.00221858099 + 526.7533888404*$t);
$X2 += 0.00000003343*cos(0.65785646071 + 531.4192552864*$t);
$X2 += 0.00000003932*cos(3.66244745467 + 91.54262404029*$t);
$X2 += 0.00000003478*cos(6.19876429652 + 6.1817083167*$t);
$X2 += 0.00000002967*cos(1.04478648324 + 860.55374623631*$t);
$X2 += 0.00000003058*cos(0.02482940557 + 342.9747551161*$t);
$X2 += 0.00000003974*cos(2.04910269520 + 335.8612081153*$t);
$X2 += 0.00000002849*cos(0.86611245106 + 666.4801717735*$t);
$X2 += 0.00000002999*cos(1.27874757189 + 937.62545879149*$t);
$X2 += 0.00000003008*cos(5.16783990611 + 74.53778108379*$t);
$X2 += 0.00000003080*cos(3.04902400148 + 129.6756596781*$t);
$X2 += 0.00000003346*cos(4.64303639862 + 1162.7185218913*$t);
$X2 += 0.00000002625*cos(1.69459459452 + 273.8222308413*$t);
$X2 += 0.00000002931*cos(1.57809055514 + 235.68919520349*$t);
$X2 += 0.00000002579*cos(0.48473918174 + 1073.85284167431*$t);
$X2 += 0.00000002550*cos(6.14366282644 + 26.58288545949*$t);
$X2 += 0.00000002542*cos(4.22297682017 + 1265.81129610991*$t);
$X2 += 0.00000002483*cos(1.73279038376 + 453.1810763355*$t);
$X2 += 0.00000002732*cos(1.76626805419 + 563.38739755489*$t);
$X2 += 0.00000002508*cos(1.67664275102 + 37.8555882595*$t);
$X2 += 0.00000002508*cos(0.34076894500 + 425.35753565121*$t);
$X2 += 0.00000002680*cos(5.74609617365 + 454.6655490438*$t);
$X2 += 0.00000002511*cos(3.15018930028 + 209.6107596584*$t);
$X2 += 0.00000002512*cos(1.74477024139 + 217.4750661846*$t);
$X2 += 0.00000002552*cos(5.67032305105 + 79.47883417571*$t);
$X2 += 0.00000002457*cos(2.67033044982 + 38.89811798311*$t);
$X2 += 0.00000002343*cos(1.93599816349 + 981.3875687218*$t);
$X2 += 0.00000002501*cos(1.67412173715 + 669.4009330803*$t);
$X2 += 0.00000002330*cos(3.95065162563 + 38.32866901151*$t);
$X2 += 0.00000002327*cos(0.39474993260 + 38.4250372311*$t);
$X2 += 0.00000002481*cos(5.56752927904 + 655.1738390787*$t);
$X2 += 0.00000002569*cos(4.22623902188 + 464.97504399731*$t);
return $X2*$t*$t;
}
function Neptune_X3($t) // 37 terms of order 3
{
$X3 = 0.00000985355*cos(0.69240373955 + 38.3768531213*$t);
$X3 += 0.00000482798*cos(0.83271959724 + 37.88921815429*$t);
$X3 += 0.00000416447*cos(0.37037561694 + 0.2438174835*$t);
$X3 += 0.00000303825*cos(0.53797420117 + 39.86132582961*$t);
$X3 += 0.00000089203*cos(1.52338099991 + 36.892380413*$t);
$X3 += 0.00000070862*cos(5.83899744010 + 76.50988875911*$t);
$X3 += 0.00000028900*cos(5.65001946959 + 41.3457985379*$t);
$X3 += 0.00000022279*cos(2.95886685234 + 206.42936592071*$t);
$X3 += 0.00000021480*cos(1.87359273442 + 220.6564599223*$t);
$X3 += 0.00000016157*cos(5.83581915834 + 522.8212355773*$t);
$X3 += 0.00000015714*cos(4.76719570238 + 537.0483295789*$t);
$X3 += 0.00000011404*cos(2.25961154910 + 35.40790770471*$t);
$X3 += 0.00000013199*cos(0.06057423298 + 7.3573644843*$t);
$X3 += 0.00000007024*cos(0.69890179308 + 3.21276290011*$t);
$X3 += 0.00000006772*cos(1.19679143435 + 69.3963417583*$t);
$X3 += 0.00000004517*cos(3.28893027439 + 45.49040012211*$t);
$X3 += 0.00000004523*cos(4.18705629066 + 31.2633061205*$t);
$X3 += 0.00000003682*cos(1.47261975259 + 98.6561710411*$t);
$X3 += 0.00000003656*cos(0.60146659814 + 968.64494742849*$t);
$X3 += 0.00000003927*cos(0.54740561653 + 426.8420083595*$t);
$X3 += 0.00000003199*cos(1.67327016260 + 1519.6765535255*$t);
$X3 += 0.00000003498*cos(3.27476696786 + 407.9344936969*$t);
$X3 += 0.00000003304*cos(2.24745680549 + 422.1615876985*$t);
$X3 += 0.00000003331*cos(1.97045240379 + 36.404745446*$t);
$X3 += 0.00000003244*cos(2.85168281358 + 484.2005649725*$t);
$X3 += 0.00000002689*cos(0.89932845788 + 441.06910236111*$t);
$X3 += 0.00000003247*cos(1.76512860403 + 498.42765897409*$t);
$X3 += 0.00000002651*cos(0.45669916115 + 304.84171947829*$t);
$X3 += 0.00000002645*cos(5.61672793904 + 461.77909604459*$t);
$X3 += 0.00000002542*cos(5.76347018476 + 444.5830566264*$t);
$X3 += 0.00000002524*cos(0.75739625090 + 433.9555553603*$t);
$X3 += 0.00000002472*cos(5.63416184223 + 319.06881347989*$t);
$X3 += 0.00000002355*cos(0.46192754883 + 447.552002043*$t);
$X3 += 0.00000002876*cos(5.22513442854 + 853.4401992355*$t);
$X3 += 0.00000002279*cos(4.63709500769 + 458.810150628*$t);
$X3 += 0.00000002147*cos(2.63611189369 + 175.40987728371*$t);
$X3 += 0.00000002637*cos(3.63693499332 + 73.5409433425*$t);
return $X3*$t*$t*$t;
}
function Neptune_X4($t) // 14 terms of order 4
{
$X4 = 0.00003455306*cos(3.61464892215 + 38.3768531213*$t);
$X4 += 0.00000047405*cos(2.21390996774 + 0.2438174835*$t);
$X4 += 0.00000021936*cos(2.72972488197 + 37.88921815429*$t);
$X4 += 0.00000015596*cos(1.87854121560 + 76.50988875911*$t);
$X4 += 0.00000017186*cos(5.53785371687 + 39.86132582961*$t);
$X4 += 0.00000017459*cos(4.82899740364 + 36.892380413*$t);
$X4 += 0.00000004229*cos(1.43245860878 + 515.70768857651*$t);
$X4 += 0.00000004334*cos(5.41648117577 + 433.9555553603*$t);
$X4 += 0.00000003547*cos(5.75561157107 + 989.98558843089*$t);
$X4 += 0.00000003155*cos(4.85322840051 + 467.40817033709*$t);
$X4 += 0.00000003017*cos(0.06479449145 + 227.77000692311*$t);
$X4 += 0.00000002981*cos(0.29920864811 + 1.7282901918*$t);
$X4 += 0.00000002295*cos(0.13749342692 + 220.6564599223*$t);
$X4 += 0.00000002296*cos(4.70646260044 + 206.42936592071*$t);
return $X4*$t*$t*$t*$t;
}
function Neptune_X5($t) // 1 term of order 5
{
$X5 = 0.00000026291*cos(3.71724730200 + 38.3768531213*$t);
return $X5*$t*$t*$t*$t*$t;
}
function Neptune_Y0($t) // 821 terms of order 0
{
$Y0 = 30.05973100580*cos(3.74109000403 + 38.3768531213*$t);
$Y0 += 0.40567587218*cos(2.41070337452 + 0.2438174835*$t);
$Y0 += 0.13506026414*cos(1.92976188293 + 76.50988875911*$t);
$Y0 += 0.15716341901*cos(4.82548976006 + 36.892380413*$t);
$Y0 += 0.14935642614*cos(5.79716600101 + 39.86132582961*$t);
$Y0 += 0.02590782232*cos(0.42530135542 + 1.7282901918*$t);
$Y0 += 0.01073890204*cos(3.81397520876 + 75.0254160508*$t);
$Y0 += 0.00816388197*cos(5.49424416077 + 3.21276290011*$t);
$Y0 += 0.00702768075*cos(6.16602540157 + 35.40790770471*$t);
$Y0 += 0.00687594822*cos(2.29155372023 + 37.88921815429*$t);
$Y0 += 0.00565555652*cos(4.41864141199 + 41.3457985379*$t);
$Y0 += 0.00495650075*cos(5.31196432386 + 529.9347825781*$t);
$Y0 += 0.00306025380*cos(5.11155686178 + 73.5409433425*$t);
$Y0 += 0.00272446904*cos(5.58643013675 + 213.5429129215*$t);
$Y0 += 0.00135892298*cos(3.97575347243 + 77.9943614674*$t);
$Y0 += 0.00122117697*cos(2.87943509460 + 34.9202727377*$t);
$Y0 += 0.00090968285*cos(0.11807115994 + 114.6429243969*$t);
$Y0 += 0.00068915400*cos(4.26390741720 + 4.6972356084*$t);
$Y0 += 0.00040370680*cos(1.09050058383 + 33.9234349964*$t);
$Y0 += 0.00028891307*cos(3.21868082836 + 42.83027124621*$t);
$Y0 += 0.00029247752*cos(0.05239890051 + 72.05647063421*$t);
$Y0 += 0.00025576289*cos(3.05422599686 + 71.5688356672*$t);
$Y0 += 0.00020517968*cos(4.12700709797 + 33.43580002939*$t);
$Y0 += 0.00012614154*cos(1.99850111659 + 113.15845168861*$t);
$Y0 += 0.00012788929*cos(1.16690001367 + 111.67397898031*$t);
$Y0 += 0.00012013477*cos(5.66154697546 + 1059.6257476727*$t);
$Y0 += 0.00009854638*cos(1.82793273920 + 36.404745446*$t);
$Y0 += 0.00008385825*cos(3.22321843541 + 108.2173985967*$t);
$Y0 += 0.00007577585*cos(4.81209675667 + 426.8420083595*$t);
$Y0 += 0.00006452053*cos(3.05476893393 + 6.1817083167*$t);
$Y0 += 0.00006551074*cos(3.48963683470 + 1.24065522479*$t);
$Y0 += 0.00004652534*cos(4.81582901104 + 37.8555882595*$t);
$Y0 += 0.00004732958*cos(2.52632268239 + 79.47883417571*$t);
$Y0 += 0.00004557247*cos(5.80951559837 + 38.89811798311*$t);
$Y0 += 0.00004322550*cos(0.80665146695 + 38.32866901151*$t);
$Y0 += 0.00004315539*cos(3.53393508109 + 38.4250372311*$t);
$Y0 += 0.00004089036*cos(0.42349431022 + 37.4136452748*$t);
$Y0 += 0.00004248658*cos(4.06300076615 + 28.81562556571*$t);
$Y0 += 0.00004622142*cos(4.31075084247 + 70.08436295889*$t);
$Y0 += 0.00003926447*cos(3.91895428213 + 39.34006096781*$t);
$Y0 += 0.00003148422*cos(0.47516466537 + 76.0222537921*$t);
$Y0 += 0.00003940981*cos(3.86846009370 + 98.6561710411*$t);
$Y0 += 0.00003323363*cos(3.11696612599 + 4.4366031775*$t);
$Y0 += 0.00003282964*cos(4.38630915294 + 39.3736908626*$t);
$Y0 += 0.00003110464*cos(0.27337264525 + 47.9380806769*$t);
$Y0 += 0.00002927062*cos(1.26687681282 + 70.5719979259*$t);
$Y0 += 0.00002748919*cos(2.29910620256 + 32.4389622881*$t);
$Y0 += 0.00003316668*cos(3.39273716880 + 144.8659615262*$t);
$Y0 += 0.00002822405*cos(5.35210680933 + 31.9513273211*$t);
$Y0 += 0.00002695972*cos(2.28196668869 + 110.189506272*$t);
$Y0 += 0.00002522990*cos(6.23388252645 + 311.9552664791*$t);
$Y0 += 0.00001888129*cos(1.63385050550 + 35.9291725665*$t);
$Y0 += 0.00001648229*cos(2.49960621702 + 30.300098274*$t);
$Y0 += 0.00001826545*cos(2.00941496239 + 44.31474395451*$t);
$Y0 += 0.00001956241*cos(2.57436514192 + 206.42936592071*$t);
$Y0 += 0.00001681257*cos(2.70480495091 + 40.8245336761*$t);
$Y0 += 0.00001533383*cos(5.88971111646 + 38.26497853671*$t);
$Y0 += 0.00001893076*cos(5.46256301015 + 220.6564599223*$t);
$Y0 += 0.00001527526*cos(4.73412536340 + 38.4887277059*$t);
$Y0 += 0.00002085691*cos(6.28187170642 + 149.8070146181*$t);
$Y0 += 0.00002070612*cos(4.39661439400 + 136.78920667889*$t);
$Y0 += 0.00001535699*cos(2.18492948354 + 73.0533083755*$t);
$Y0 += 0.00001667976*cos(4.48792091670 + 106.73292588839*$t);
$Y0 += 0.00001289620*cos(1.82629228420 + 46.4536079686*$t);
$Y0 += 0.00001559811*cos(5.27109740006 + 38.11622069041*$t);
$Y0 += 0.00001545705*cos(5.35267674075 + 38.6374855522*$t);
$Y0 += 0.00001435033*cos(5.44094847718 + 522.8212355773*$t);
$Y0 += 0.00001406206*cos(2.04637394879 + 537.0483295789*$t);
$Y0 += 0.00001256446*cos(1.13828126057 + 34.1840674273*$t);
$Y0 += 0.00001387973*cos(2.14763765402 + 116.12739710521*$t);
$Y0 += 0.00001457739*cos(3.56061267693 + 181.5145244557*$t);
$Y0 += 0.00001228429*cos(1.21566711155 + 72.31710306511*$t);
$Y0 += 0.00001140665*cos(5.53723346032 + 7.83293736379*$t);
$Y0 += 0.00001080801*cos(3.18403832376 + 42.5696388153*$t);
$Y0 += 0.00001201409*cos(2.31627619186 + 2.7251279331*$t);
$Y0 += 0.00001228671*cos(1.08170099047 + 148.32254190981*$t);
$Y0 += 0.00000722014*cos(4.59727081765 + 152.77596003471*$t);
$Y0 += 0.00000608545*cos(2.92457352888 + 35.4560918145*$t);
$Y0 += 0.00000722865*cos(4.66419895504 + 143.38148881789*$t);
$Y0 += 0.00000632820*cos(1.84622497362 + 7.66618102501*$t);
$Y0 += 0.00000642369*cos(5.54570420373 + 68.5998902506*$t);
$Y0 += 0.00000553789*cos(1.41527095431 + 41.2976144281*$t);
$Y0 += 0.00000682276*cos(3.72885979362 + 218.1630873852*$t);
$Y0 += 0.00000463186*cos(1.17340921668 + 31.7845709823*$t);
$Y0 += 0.00000521560*cos(1.91893273311 + 0.719390363*$t);
$Y0 += 0.00000437892*cos(6.01046620661 + 1589.3167127673*$t);
$Y0 += 0.00000398091*cos(0.79544793472 + 6.3484646555*$t);
$Y0 += 0.00000384065*cos(3.15552603467 + 44.96913526031*$t);
$Y0 += 0.00000395583*cos(3.48448044710 + 108.70503356371*$t);
$Y0 += 0.00000327446*cos(4.26279342171 + 60.52313540329*$t);
$Y0 += 0.00000358824*cos(0.28673200218 + 30.4668546128*$t);
$Y0 += 0.00000315179*cos(1.74548132888 + 74.53778108379*$t);
$Y0 += 0.00000343384*cos(0.17566264278 + 0.7650823453*$t);
$Y0 += 0.00000399611*cos(3.76461168231 + 31.2633061205*$t);
$Y0 += 0.00000314611*cos(1.41723391958 + 419.72846135871*$t);
$Y0 += 0.00000347596*cos(4.83723596339 + 180.03005174739*$t);
$Y0 += 0.00000382279*cos(1.78844211361 + 487.1213262793*$t);
$Y0 += 0.00000300918*cos(2.47842979419 + 69.0875252176*$t);
$Y0 += 0.00000340448*cos(2.33467216950 + 146.8380692015*$t);
$Y0 += 0.00000298710*cos(3.60933906971 + 84.5866436064*$t);
$Y0 += 0.00000290629*cos(0.17794042595 + 110.45013870291*$t);
$Y0 += 0.00000336211*cos(0.57735466050 + 45.49040012211*$t);
$Y0 += 0.00000305606*cos(4.06185849299 + 640.1411037975*$t);
$Y0 += 0.00000333702*cos(3.90017949649 + 254.8116503147*$t);
$Y0 += 0.00000268060*cos(1.73772568979 + 37.0042549976*$t);
$Y0 += 0.00000264760*cos(2.55644426185 + 39.749451245*$t);
$Y0 += 0.00000315240*cos(1.15162155813 + 388.70897272171*$t);
$Y0 += 0.00000227098*cos(6.16236913832 + 273.8222308413*$t);
$Y0 += 0.00000306112*cos(0.18265553789 + 6283.3196674749*$t);
$Y0 += 0.00000284373*cos(1.79060192705 + 12.77399045571*$t);
$Y0 += 0.00000221105*cos(5.08019996555 + 213.0552779545*$t);
$Y0 += 0.00000242568*cos(0.49358017330 + 14.258463164*$t);
$Y0 += 0.00000241087*cos(5.73194988554 + 105.2484531801*$t);
$Y0 += 0.00000226136*cos(1.26736306174 + 80.963306884*$t);
$Y0 += 0.00000245904*cos(5.25701422242 + 27.3311528574*$t);
$Y0 += 0.00000265825*cos(5.68032293038 + 944.7390057923*$t);
$Y0 += 0.00000207893*cos(3.50733218656 + 30.95448957981*$t);
$Y0 += 0.00000214661*cos(1.08322862012 + 316.6356871401*$t);
$Y0 += 0.00000190638*cos(0.75588071076 + 69.3963417583*$t);
$Y0 += 0.00000246295*cos(3.55718121196 + 102.84895673509*$t);
$Y0 += 0.00000202915*cos(2.17108892757 + 415.04804069769*$t);
$Y0 += 0.00000176465*cos(4.85970190916 + 36.7805058284*$t);
$Y0 += 0.00000193886*cos(4.92555932032 + 174.9222423167*$t);
$Y0 += 0.00000175209*cos(5.83814591553 + 39.97320041421*$t);
$Y0 += 0.00000177868*cos(5.01003024093 + 216.67861467689*$t);
$Y0 += 0.00000138494*cos(3.88186287753 + 75.98862389731*$t);
$Y0 += 0.00000152234*cos(3.24582472092 + 11.2895177474*$t);
$Y0 += 0.00000147648*cos(0.11464073993 + 151.2914873264*$t);
$Y0 += 0.00000156202*cos(5.22332207731 + 146.3504342345*$t);
$Y0 += 0.00000152289*cos(1.64425361444 + 23.87457247379*$t);
$Y0 += 0.00000177911*cos(1.60563922042 + 10213.5293636945*$t);
$Y0 += 0.00000162474*cos(2.56271758700 + 63.9797157869*$t);
$Y0 += 0.00000121226*cos(3.53504653517 + 38.16440480021*$t);
$Y0 += 0.00000129049*cos(2.23605274276 + 37.1048287341*$t);
$Y0 += 0.00000120334*cos(0.80557581782 + 38.5893014424*$t);
$Y0 += 0.00000168977*cos(4.06631471177 + 291.4602132442*$t);
$Y0 += 0.00000121138*cos(6.20896007337 + 33.26904369061*$t);
$Y0 += 0.00000129366*cos(0.79823378243 + 45.7992166628*$t);
$Y0 += 0.00000144682*cos(5.34262329825 + 49.42255338521*$t);
$Y0 += 0.00000122915*cos(2.10353894081 + 39.6488775085*$t);
$Y0 += 0.00000113400*cos(5.13399083059 + 83.1021708981*$t);
$Y0 += 0.00000154892*cos(0.17909436973 + 77.4730966056*$t);
$Y0 += 0.00000106737*cos(2.14516700774 + 4.8639919472*$t);
$Y0 += 0.00000104756*cos(4.39192437833 + 43.484662552*$t);
$Y0 += 0.00000125142*cos(1.11541363958 + 4.2096006414*$t);
$Y0 += 0.00000103541*cos(3.68555108825 + 41.08516610701*$t);
$Y0 += 0.00000133573*cos(5.49226848460 + 182.998997164*$t);
$Y0 += 0.00000103627*cos(0.72176478921 + 35.6685401356*$t);
$Y0 += 0.00000116874*cos(3.84298763857 + 62.4952430786*$t);
$Y0 += 0.00000098063*cos(1.68574394986 + 9.8050450391*$t);
$Y0 += 0.00000111411*cos(5.91424942326 + 141.8970161096*$t);
$Y0 += 0.00000114294*cos(3.99149302956 + 633.0275567967*$t);
$Y0 += 0.00000104705*cos(4.68992506677 + 433.9555553603*$t);
$Y0 += 0.00000121306*cos(3.01971978017 + 40.8581635709*$t);
$Y0 += 0.00000096954*cos(4.60293836623 + 1052.51220067191*$t);
$Y0 += 0.00000085104*cos(3.21938589681 + 36.6799320919*$t);
$Y0 += 0.00000085209*cos(1.23258290286 + 105.76971804189*$t);
$Y0 += 0.00000085291*cos(4.16574840077 + 109.701871305*$t);
$Y0 += 0.00000083260*cos(1.57705309557 + 529.44714761109*$t);
$Y0 += 0.00000080200*cos(1.12120137014 + 40.07377415071*$t);
$Y0 += 0.00000107927*cos(4.72809768120 + 1162.7185218913*$t);
$Y0 += 0.00000095241*cos(5.18181889280 + 253.32717760639*$t);
$Y0 += 0.00000089535*cos(1.68098752171 + 32.9602271499*$t);
$Y0 += 0.00000089793*cos(1.19350927545 + 65.46418849521*$t);
$Y0 += 0.00000072027*cos(4.82605474115 + 36.9405645228*$t);
$Y0 += 0.00000080381*cos(0.49818419813 + 67.1154175423*$t);
$Y0 += 0.00000099502*cos(4.10090280616 + 453.1810763355*$t);
$Y0 += 0.00000088685*cos(6.05087292163 + 251.6759485593*$t);
$Y0 += 0.00000094971*cos(5.68681980258 + 219.6475600935*$t);
$Y0 += 0.00000077015*cos(3.73580633492 + 5.6604434549*$t);
$Y0 += 0.00000069098*cos(3.42063825132 + 22.3900997655*$t);
$Y0 += 0.00000079079*cos(5.69904586697 + 44.48150029329*$t);
$Y0 += 0.00000069159*cos(2.38821700872 + 1066.7392946735*$t);
$Y0 += 0.00000064446*cos(2.45996531968 + 66.9486612035*$t);
$Y0 += 0.00000088518*cos(4.23259429373 + 328.1087761737*$t);
$Y0 += 0.00000065817*cos(6.14060374302 + 36.3711155512*$t);
$Y0 += 0.00000071422*cos(2.66025338551 + 43.79347909271*$t);
$Y0 += 0.00000063298*cos(0.64067085772 + 9.1506537333*$t);
$Y0 += 0.00000077320*cos(1.83922353490 + 97.17169833279*$t);
$Y0 += 0.00000073912*cos(3.29477271110 + 2.6769438233*$t);
$Y0 += 0.00000073965*cos(3.98729910569 + 2.9521304692*$t);
$Y0 += 0.00000056194*cos(2.88777806681 + 949.4194264533*$t);
$Y0 += 0.00000059173*cos(2.98452265287 + 100.14064374939*$t);
$Y0 += 0.00000067507*cos(2.37620743833 + 7.14491616321*$t);
$Y0 += 0.00000071718*cos(2.50472239979 + 2.20386307129*$t);
$Y0 += 0.00000063606*cos(3.60095909928 + 25.8466801491*$t);
$Y0 += 0.00000071523*cos(3.62910110768 + 662.28738607949*$t);
$Y0 += 0.00000057219*cos(5.59723911326 + 15.7429358723*$t);
$Y0 += 0.00000050322*cos(5.79549186801 + 37.15301284391*$t);
$Y0 += 0.00000066615*cos(1.85382631980 + 846.3266522347*$t);
$Y0 += 0.00000056220*cos(6.09466556848 + 178.5455790391*$t);
$Y0 += 0.00000067883*cos(2.31467094623 + 224.5886131854*$t);
$Y0 += 0.00000057761*cos(3.59414048269 + 145.35359649321*$t);
$Y0 += 0.00000053973*cos(4.68325129609 + 107.2205608554*$t);
$Y0 += 0.00000057588*cos(0.13600413206 + 25.3590451821*$t);
$Y0 += 0.00000049026*cos(5.99075269953 + 19.2543980101*$t);
$Y0 += 0.00000063036*cos(5.86840206029 + 256.296123023*$t);
$Y0 += 0.00000045304*cos(5.57731819351 + 4.1759707466*$t);
$Y0 += 0.00000045669*cos(0.60467903265 + 117.6118698135*$t);
$Y0 += 0.00000052821*cos(5.35013106251 + 289.97574053589*$t);
$Y0 += 0.00000044016*cos(0.68418990599 + 32.7477788288*$t);
$Y0 += 0.00000042933*cos(1.50265323283 + 28.98238190449*$t);
$Y0 += 0.00000038369*cos(5.07841615051 + 39.6006933987*$t);
$Y0 += 0.00000038805*cos(2.55324300089 + 103.3365917021*$t);
$Y0 += 0.00000037679*cos(4.97176992254 + 9.3174100721*$t);
$Y0 += 0.00000040292*cos(1.32694372497 + 111.18634401329*$t);
$Y0 += 0.00000050011*cos(4.62887079290 + 221.61966776881*$t);
$Y0 += 0.00000037056*cos(3.05929116522 + 8.32057233081*$t);
$Y0 += 0.00000036562*cos(1.75628268654 + 448.98829064149*$t);
$Y0 += 0.00000044628*cos(5.39841763538 + 525.2543619171*$t);
$Y0 += 0.00000038213*cos(4.99269276748 + 75.54668091261*$t);
$Y0 += 0.00000045963*cos(2.49324091181 + 183.486632131*$t);
$Y0 += 0.00000048222*cos(4.38408318526 + 364.7573391032*$t);
$Y0 += 0.00000038164*cos(3.66287516322 + 44.00592741381*$t);
$Y0 += 0.00000047779*cos(4.62193118070 + 3340.8562441833*$t);
$Y0 += 0.00000042228*cos(4.07611308238 + 77.0311536209*$t);
$Y0 += 0.00000035247*cos(4.92005743728 + 34.7535163989*$t);
$Y0 += 0.00000046804*cos(5.53981795511 + 33.6964324603*$t);
$Y0 += 0.00000034352*cos(5.79527968049 + 33.71098667531*$t);
$Y0 += 0.00000034949*cos(3.58463727178 + 3.37951923889*$t);
$Y0 += 0.00000036030*cos(0.60196271868 + 71.09326278771*$t);
$Y0 += 0.00000038112*cos(0.94232057009 + 45.9659730016*$t);
$Y0 += 0.00000033119*cos(3.70714424363 + 7.3573644843*$t);
$Y0 += 0.00000032049*cos(3.04761071508 + 34.44469985821*$t);
$Y0 += 0.00000031910*cos(0.20811343013 + 81.61769818981*$t);
$Y0 += 0.00000038697*cos(1.09830424446 + 184.97110483931*$t);
$Y0 += 0.00000041486*cos(4.15630010756 + 310.4707937708*$t);
$Y0 += 0.00000038631*cos(0.74636164144 + 50.9070260935*$t);
$Y0 += 0.00000042711*cos(0.62152472293 + 1021.49271203491*$t);
$Y0 += 0.00000032006*cos(5.68829457469 + 42.00018984371*$t);
$Y0 += 0.00000038436*cos(5.02591476913 + 5.92107588581*$t);
$Y0 += 0.00000038880*cos(1.72301566300 + 76.55807286891*$t);
$Y0 += 0.00000041190*cos(3.00922391966 + 563.87503252191*$t);
$Y0 += 0.00000029786*cos(2.57644898724 + 77.5067265004*$t);
$Y0 += 0.00000040604*cos(6.04591617823 + 292.9446859525*$t);
$Y0 += 0.00000035275*cos(3.24596926614 + 304.84171947829*$t);
$Y0 += 0.00000038242*cos(1.23011716621 + 17.76992530181*$t);
$Y0 += 0.00000034445*cos(6.05203741506 + 319.06881347989*$t);
$Y0 += 0.00000028725*cos(0.80354919578 + 67.6366824041*$t);
$Y0 += 0.00000032809*cos(0.86662032393 + 91.54262404029*$t);
$Y0 += 0.00000038880*cos(5.27893548994 + 76.4617046493*$t);
$Y0 += 0.00000030731*cos(3.65388358465 + 67.60305250931*$t);
$Y0 += 0.00000028459*cos(4.82537806886 + 43.0427195673*$t);
$Y0 += 0.00000035368*cos(5.14016182775 + 313.43973918739*$t);
$Y0 += 0.00000035703*cos(4.78026134196 + 258.26823069831*$t);
$Y0 += 0.00000032317*cos(0.72991843715 + 78.9575693139*$t);
$Y0 += 0.00000029243*cos(5.01962947605 + 61.01077037031*$t);
$Y0 += 0.00000026235*cos(2.30979326374 + 137.2768416459*$t);
$Y0 += 0.00000026519*cos(4.63187110201 + 57.4993082325*$t);
$Y0 += 0.00000024931*cos(1.02449436120 + 42.997027585*$t);
$Y0 += 0.00000027608*cos(0.68443037331 + 103.7639804718*$t);
$Y0 += 0.00000028680*cos(6.22569747241 + 215.1941419686*$t);
$Y0 += 0.00000025052*cos(0.98956881727 + 350.08830211689*$t);
$Y0 += 0.00000031386*cos(2.53676810018 + 22.22334342671*$t);
$Y0 += 0.00000027545*cos(6.02026727313 + 100.6282787164*$t);
$Y0 += 0.00000022617*cos(1.89172143755 + 36.8441963032*$t);
$Y0 += 0.00000024909*cos(4.92089915310 + 24.36220744081*$t);
$Y0 += 0.00000026216*cos(3.37729185316 + 491.8017469403*$t);
$Y0 += 0.00000028040*cos(1.26215532584 + 11.55015017831*$t);
$Y0 += 0.00000023047*cos(2.67490790904 + 35.51978228931*$t);
$Y0 += 0.00000027067*cos(5.52626880418 + 326.62430346539*$t);
$Y0 += 0.00000026192*cos(0.78880180701 + 20.7388707184*$t);
$Y0 += 0.00000023134*cos(1.02405904726 + 68.4331339118*$t);
$Y0 += 0.00000021423*cos(5.59061648293 + 39.90950993941*$t);
$Y0 += 0.00000025696*cos(5.03652999676 + 186.4555775476*$t);
$Y0 += 0.00000026985*cos(1.96185307311 + 69.6087900794*$t);
$Y0 += 0.00000023284*cos(1.14508397457 + 79.43065006591*$t);
$Y0 += 0.00000022894*cos(5.33085965806 + 227.77000692311*$t);
$Y0 += 0.00000022482*cos(5.43588494929 + 39.8131417198*$t);
$Y0 += 0.00000023480*cos(5.96723336237 + 30.9881194746*$t);
$Y0 += 0.00000020858*cos(1.66497796416 + 41.2339239533*$t);
$Y0 += 0.00000020327*cos(5.86806874135 + 39.0312444271*$t);
$Y0 += 0.00000020327*cos(4.75570383217 + 37.72246181551*$t);
$Y0 += 0.00000022639*cos(1.78594954268 + 0.9800227939*$t);
$Y0 += 0.00000022639*cos(4.92754219627 + 1.46765776091*$t);
$Y0 += 0.00000019139*cos(1.60585998738 + 205.9417309537*$t);
$Y0 += 0.00000019118*cos(0.05485235310 + 2119.00767786191*$t);
$Y0 += 0.00000025698*cos(4.54722652155 + 401.4059020327*$t);
$Y0 += 0.00000021582*cos(5.86612346662 + 81.13006322279*$t);
$Y0 += 0.00000025509*cos(6.21909191790 + 329.593248882*$t);
$Y0 += 0.00000024296*cos(3.68761645751 + 62.0076081116*$t);
$Y0 += 0.00000023969*cos(2.45967218561 + 135.3047339706*$t);
$Y0 += 0.00000020599*cos(6.09025723810 + 491.3141119733*$t);
$Y0 += 0.00000016829*cos(4.06509805545 + 3.1645787903*$t);
$Y0 += 0.00000020030*cos(2.45066995549 + 217.4750661846*$t);
$Y0 += 0.00000020377*cos(5.60617244490 + 209.6107596584*$t);
$Y0 += 0.00000017251*cos(1.00239992257 + 350.5759370839*$t);
$Y0 += 0.00000019625*cos(1.41143867859 + 129.6756596781*$t);
$Y0 += 0.00000022707*cos(0.97867191772 + 1436.2969352491*$t);
$Y0 += 0.00000017142*cos(4.71740830608 + 29.4700168715*$t);
$Y0 += 0.00000016188*cos(3.33781568208 + 39.00999256771*$t);
$Y0 += 0.00000016188*cos(1.00277158426 + 37.7437136749*$t);
$Y0 += 0.00000020858*cos(3.10425391408 + 58.9837809408*$t);
$Y0 += 0.00000015747*cos(0.31821188942 + 154.260432743*$t);
$Y0 += 0.00000019714*cos(5.04477015525 + 294.91679362781*$t);
$Y0 += 0.00000019078*cos(1.16675280621 + 202.4972126576*$t);
$Y0 += 0.00000021530*cos(4.95075882360 + 114.1552894299*$t);
$Y0 += 0.00000019068*cos(3.39813326972 + 138.2736793872*$t);
$Y0 += 0.00000018723*cos(4.64325038338 + 323.74923414091*$t);
$Y0 += 0.00000018916*cos(3.89922448206 + 40.3825906914*$t);
$Y0 += 0.00000015843*cos(4.98899291519 + 72.577735496*$t);
$Y0 += 0.00000020695*cos(3.75000782446 + 86.07111631471*$t);
$Y0 += 0.00000015895*cos(4.16120885988 + 736.1203310153*$t);
$Y0 += 0.00000014983*cos(0.56469438588 + 743.23387801611*$t);
$Y0 += 0.00000014928*cos(5.49703861671 + 34.23225153711*$t);
$Y0 += 0.00000015461*cos(4.47518787654 + 20.850745303*$t);
$Y0 += 0.00000016206*cos(4.48895168117 + 138.76131435421*$t);
$Y0 += 0.00000015978*cos(5.56972981392 + 515.70768857651*$t);
$Y0 += 0.00000014173*cos(1.42508198977 + 99.1438060081*$t);
$Y0 += 0.00000018749*cos(1.80466304752 + 54.5303628159*$t);
$Y0 += 0.00000013971*cos(3.54176522468 + 76.77052119001*$t);
$Y0 += 0.00000013971*cos(3.46018552739 + 76.2492563282*$t);
$Y0 += 0.00000014035*cos(6.02847994013 + 235.68919520349*$t);
$Y0 += 0.00000018894*cos(3.02786191873 + 31.4757544416*$t);
$Y0 += 0.00000014967*cos(5.68342907224 + 52.3914988018*$t);
$Y0 += 0.00000017392*cos(0.12268817693 + 74.0622082043*$t);
$Y0 += 0.00000014788*cos(3.43864596335 + 56.01483552421*$t);
$Y0 += 0.00000015758*cos(1.26184897401 + 208.8624922605*$t);
$Y0 += 0.00000012911*cos(5.12673395733 + 42.5214547055*$t);
$Y0 += 0.00000014356*cos(0.18539168671 + 251.8427048981*$t);
$Y0 += 0.00000016266*cos(3.39270678896 + 853.4401992355*$t);
$Y0 += 0.00000015513*cos(2.59603540214 + 59.038662695*$t);
$Y0 += 0.00000012783*cos(0.77187700977 + 107.52937739611*$t);
$Y0 += 0.00000016075*cos(0.02096626523 + 366.24181181149*$t);
$Y0 += 0.00000014277*cos(3.31408666848 + 19.36627259471*$t);
$Y0 += 0.00000014742*cos(6.26354356543 + 82.4477795923*$t);
$Y0 += 0.00000015111*cos(5.70708654477 + 363.27286639489*$t);
$Y0 += 0.00000014981*cos(1.17119164980 + 82.6145359311*$t);
$Y0 += 0.00000014840*cos(5.34075197148 + 44.0541115236*$t);
$Y0 += 0.00000015592*cos(5.74434423333 + 8.6293888715*$t);
$Y0 += 0.00000014568*cos(0.45025790013 + 73.80157577341*$t);
$Y0 += 0.00000012251*cos(5.90063123167 + 47.28368937111*$t);
$Y0 += 0.00000011447*cos(5.62613164770 + 175.40987728371*$t);
$Y0 += 0.00000013900*cos(0.93353054847 + 700.4204217173*$t);
$Y0 += 0.00000015583*cos(5.46046493452 + 837.4534458797*$t);
$Y0 += 0.00000012109*cos(0.53062884942 + 33.0084112597*$t);
$Y0 += 0.00000012379*cos(0.87778018320 + 140.4125434013*$t);
$Y0 += 0.00000011481*cos(3.65591005670 + 39.2069345238*$t);
$Y0 += 0.00000011481*cos(0.68467720964 + 37.54677171881*$t);
$Y0 += 0.00000011452*cos(5.92350892067 + 529.4135177163*$t);
$Y0 += 0.00000010981*cos(1.58931744102 + 63.49208081989*$t);
$Y0 += 0.00000012137*cos(0.75938098769 + 42.3090063844*$t);
$Y0 += 0.00000013771*cos(2.92318261793 + 76.62176334371*$t);
$Y0 += 0.00000011036*cos(1.59378256377 + 530.45604743991*$t);
$Y0 += 0.00000011537*cos(2.72370023352 + 199.3158189199*$t);
$Y0 += 0.00000011189*cos(1.67388131435 + 80.1332254815*$t);
$Y0 += 0.00000012835*cos(2.83910944143 + 38.85242600079*$t);
$Y0 += 0.00000012879*cos(0.03161787960 + 5.69407334969*$t);
$Y0 += 0.00000013663*cos(4.69897705757 + 438.0544649622*$t);
$Y0 += 0.00000010132*cos(2.80479631986 + 187.9400502559*$t);
$Y0 += 0.00000012619*cos(3.09097380707 + 65.2035560643*$t);
$Y0 += 0.00000010088*cos(1.41143864412 + 26.58288545949*$t);
$Y0 += 0.00000011959*cos(1.19714206196 + 64.7159210973*$t);
$Y0 += 0.00000011578*cos(5.81790016857 + 275.3067035496*$t);
$Y0 += 0.00000012795*cos(1.66756565053 + 17.8817998864*$t);
$Y0 += 0.00000013771*cos(4.07876849292 + 76.3980141745*$t);
$Y0 += 0.00000010044*cos(1.67224715151 + 147.83490694279*$t);
$Y0 += 0.00000013632*cos(1.29603813384 + 45.277951801*$t);
$Y0 += 0.00000011660*cos(4.22880871720 + 143.9027536797*$t);
$Y0 += 0.00000009938*cos(5.79050109000 + 6.86972951729*$t);
$Y0 += 0.00000009719*cos(4.48706829937 + 956.53297345411*$t);
$Y0 += 0.00000011441*cos(5.32553485636 + 533.8669358412*$t);
$Y0 += 0.00000010240*cos(1.34767099242 + 80.7026744531*$t);
$Y0 += 0.00000010031*cos(3.80995841826 + 43.74529498291*$t);
$Y0 += 0.00000010063*cos(1.05825122331 + 0.27744737829*$t);
$Y0 += 0.00000011428*cos(2.19933512981 + 526.00262931501*$t);
$Y0 += 0.00000009279*cos(1.45482205447 + 79.6455905145*$t);
$Y0 += 0.00000010172*cos(0.89461094062 + 568.0678182159*$t);
$Y0 += 0.00000009198*cos(0.36520539350 + 112.6708167216*$t);
$Y0 += 0.00000009831*cos(4.06082180622 + 20.9056270572*$t);
$Y0 += 0.00000009830*cos(1.93960888370 + 544.1618765797*$t);
$Y0 += 0.00000008646*cos(6.06265529598 + 30.7756711535*$t);
$Y0 += 0.00000009315*cos(1.72769398395 + 65.63094483399*$t);
$Y0 += 0.00000009201*cos(1.66299093770 + 184.48346987229*$t);
$Y0 += 0.00000008674*cos(3.58250353029 + 624.1543504417*$t);
$Y0 += 0.00000010739*cos(5.20958133978 + 331.56535655731*$t);
$Y0 += 0.00000009612*cos(3.81549627985 + 182.00215942271*$t);
$Y0 += 0.00000008664*cos(4.05357381243 + 1479.11039154791*$t);
$Y0 += 0.00000008092*cos(4.08843223898 + 6.8360996225*$t);
$Y0 += 0.00000010092*cos(0.00357719036 + 419.2408263917*$t);
$Y0 += 0.00000010233*cos(0.16992310980 + 402.89037474099*$t);
$Y0 += 0.00000008502*cos(3.60646753260 + 17.39416491939*$t);
$Y0 += 0.00000010189*cos(1.01906004060 + 21.7020785649*$t);
$Y0 += 0.00000009829*cos(3.66564448678 + 121.2352065359*$t);
$Y0 += 0.00000008406*cos(4.04270651029 + 376.9150050599*$t);
$Y0 += 0.00000008060*cos(4.05224638436 + 415.7963080956*$t);
$Y0 += 0.00000009455*cos(1.63876624122 + 167.80869531589*$t);
$Y0 += 0.00000007941*cos(6.14526289331 + 526.7533888404*$t);
$Y0 += 0.00000007870*cos(1.33260101318 + 533.1161763158*$t);
$Y0 += 0.00000007695*cos(2.49810660877 + 906.60597015449*$t);
$Y0 += 0.00000007862*cos(5.62722995177 + 1265.81129610991*$t);
$Y0 += 0.00000008062*cos(5.84124471296 + 105.7360881471*$t);
$Y0 += 0.00000008904*cos(5.87904582316 + 399.9214293244*$t);
$Y0 += 0.00000008050*cos(4.85961454632 + 143.8691237849*$t);
$Y0 += 0.00000009102*cos(3.20438608836 + 348.17644063891*$t);
$Y0 += 0.00000007137*cos(5.97349520503 + 117.5636857037*$t);
$Y0 += 0.00000007076*cos(4.77037120491 + 26.84351789039*$t);
$Y0 += 0.00000008418*cos(6.19754313245 + 77.73372903651*$t);
$Y0 += 0.00000008257*cos(6.01515603184 + 117.77862615229*$t);
$Y0 += 0.00000007868*cos(0.36467826737 + 288.4912678276*$t);
$Y0 += 0.00000008093*cos(5.12697881207 + 1692.40948698591*$t);
$Y0 += 0.00000006910*cos(5.16028730720 + 216.72430665921*$t);
$Y0 += 0.00000007092*cos(1.58416634960 + 452.65981147369*$t);
$Y0 += 0.00000007060*cos(3.50187723218 + 453.7023411973*$t);
$Y0 += 0.00000008233*cos(5.07959772857 + 480.00777927849*$t);
$Y0 += 0.00000006772*cos(2.89170457209 + 210.36151918381*$t);
$Y0 += 0.00000007025*cos(6.13907268455 + 55.9029609396*$t);
$Y0 += 0.00000008356*cos(3.67079730328 + 95.7354097343*$t);
$Y0 += 0.00000007404*cos(5.71532443096 + 75.2860484817*$t);
$Y0 += 0.00000006839*cos(2.57023077532 + 41.5125548767*$t);
$Y0 += 0.00000007909*cos(0.07288588503 + 36.63174798211*$t);
$Y0 += 0.00000007909*cos(1.12610872772 + 40.12195826051*$t);
$Y0 += 0.00000006362*cos(4.97586429633 + 29.99128173331*$t);
$Y0 += 0.00000006712*cos(2.41218446093 + 133.82026126229*$t);
$Y0 += 0.00000007571*cos(1.24658605384 + 23.707816135*$t);
$Y0 += 0.00000006677*cos(4.81403056382 + 1.20702533*$t);
$Y0 += 0.00000007600*cos(1.64374414108 + 494.2348732801*$t);
$Y0 += 0.00000008009*cos(1.96165940869 + 170.72945662269*$t);
$Y0 += 0.00000007584*cos(1.33750538789 + 119.2630988606*$t);
$Y0 += 0.00000006599*cos(0.68440943828 + 32.226513967*$t);
$Y0 += 0.00000006085*cos(3.39985070945 + 322.00412900171*$t);
$Y0 += 0.00000005953*cos(0.92774911672 + 52214.1831362697*$t);
$Y0 += 0.00000007827*cos(4.85672910517 + 474.7030278917*$t);
$Y0 += 0.00000007907*cos(6.03373097658 + 485.63685357099*$t);
$Y0 += 0.00000007372*cos(3.31633214824 + 55.05162767771*$t);
$Y0 += 0.00000006966*cos(4.03472609774 + 647.25465079831*$t);
$Y0 += 0.00000006266*cos(1.06894881555 + 177.0611063308*$t);
$Y0 += 0.00000005900*cos(0.21363873876 + 52061.16335875149*$t);
$Y0 += 0.00000006221*cos(0.78444326027 + 602.00806815971*$t);
$Y0 += 0.00000005552*cos(4.30656362928 + 223.1041404771*$t);
$Y0 += 0.00000005976*cos(3.40178743225 + 10.8018827804*$t);
$Y0 += 0.00000007600*cos(0.62565658069 + 488.6057989876*$t);
$Y0 += 0.00000006831*cos(4.75854396498 + 1582.2031657665*$t);
$Y0 += 0.00000005654*cos(1.46952482126 + 12604.5285531041*$t);
$Y0 += 0.00000005798*cos(2.70754675899 + 27.4979091962*$t);
$Y0 += 0.00000007216*cos(4.89431192173 + 739.0410923221*$t);
$Y0 += 0.00000006579*cos(2.37730114095 + 2.69149803831*$t);
$Y0 += 0.00000005758*cos(1.25264555408 + 30.0394658431*$t);
$Y0 += 0.00000005270*cos(5.03822712313 + 6166.94845288619*$t);
$Y0 += 0.00000007398*cos(2.15412967054 + 709.721016842*$t);
$Y0 += 0.00000005679*cos(4.34696450423 + 17.22740858061*$t);
$Y0 += 0.00000005205*cos(4.18097270804 + 426.3543733925*$t);
$Y0 += 0.00000005146*cos(5.52411562781 + 46.7624245093*$t);
$Y0 += 0.00000005694*cos(4.51992731423 + 168.98435148349*$t);
$Y0 += 0.00000006627*cos(1.36429825841 + 221.13203280179*$t);
$Y0 += 0.00000005443*cos(2.77787969707 + 525.7419968841*$t);
$Y0 += 0.00000006475*cos(0.95284661304 + 591.07424248041*$t);
$Y0 += 0.00000004984*cos(0.17849511014 + 10097.15814910579*$t);
$Y0 += 0.00000005318*cos(3.65617684169 + 44.52719227561*$t);
$Y0 += 0.00000006699*cos(1.37968332714 + 2157.1407134997*$t);
$Y0 += 0.00000006443*cos(4.07988524250 + 675.0445615878*$t);
$Y0 += 0.00000005078*cos(2.53592755854 + 101.62511645769*$t);
$Y0 += 0.00000005394*cos(5.60187660250 + 368.21391948681*$t);
$Y0 += 0.00000005072*cos(4.09677163290 + 272.33775813299*$t);
$Y0 += 0.00000005208*cos(2.96070554414 + 277.2788112249*$t);
$Y0 += 0.00000005332*cos(2.85701594895 + 280.9357778421*$t);
$Y0 += 0.00000005989*cos(1.18032513011 + 93.0270967486*$t);
$Y0 += 0.00000006329*cos(2.06650240521 + 18.87863762769*$t);
$Y0 += 0.00000005551*cos(0.99966130596 + 57.3874336479*$t);
$Y0 += 0.00000006471*cos(4.75702433578 + 68.1243173711*$t);
$Y0 += 0.00000004708*cos(3.81000728156 + 95.68722562449*$t);
$Y0 += 0.00000005891*cos(4.39361748912 + 381.5954257209*$t);
$Y0 += 0.00000004717*cos(5.88762112195 + 104.2852453336*$t);
$Y0 += 0.00000005675*cos(0.14149668499 + 1165.6392831981*$t);
$Y0 += 0.00000005888*cos(2.00299136957 + 42.34263627919*$t);
$Y0 += 0.00000005587*cos(2.52090459839 + 459.6066021357*$t);
$Y0 += 0.00000005456*cos(3.07944464122 + 75.50098893029*$t);
$Y0 += 0.00000005940*cos(4.70996040917 + 6318.4837576961*$t);
$Y0 += 0.00000005207*cos(6.12213701959 + 436.5699922539*$t);
$Y0 += 0.00000006160*cos(3.18966815531 + 749.82616015511*$t);
$Y0 += 0.00000006137*cos(3.02268593798 + 713.17759722561*$t);
$Y0 += 0.00000004547*cos(3.96298179960 + 32.47259218289*$t);
$Y0 += 0.00000005246*cos(0.26649341993 + 109.9625037359*$t);
$Y0 += 0.00000005244*cos(0.76595138199 + 73.5891274523*$t);
$Y0 += 0.00000005572*cos(4.54958395511 + 102.11275142471*$t);
$Y0 += 0.00000005638*cos(6.13292790226 + 10248.6934539157*$t);
$Y0 += 0.00000004513*cos(0.05769066183 + 1272.9248431107*$t);
$Y0 += 0.00000004340*cos(3.93529499489 + 384.02855206069*$t);
$Y0 += 0.00000004263*cos(5.81710901839 + 1577.52274510549*$t);
$Y0 += 0.00000005964*cos(3.35563503899 + 786.47472308461*$t);
$Y0 += 0.00000004962*cos(1.38600480216 + 257.78059573129*$t);
$Y0 += 0.00000005327*cos(4.13135597763 + 107.74182571721*$t);
$Y0 += 0.00000005572*cos(5.58677005833 + 291.2934569054*$t);
$Y0 += 0.00000004336*cos(1.08874295813 + 53.40958840249*$t);
$Y0 += 0.00000004427*cos(1.43077618159 + 189.42452296421*$t);
$Y0 += 0.00000004157*cos(5.03727532307 + 29.5036467663*$t);
$Y0 += 0.00000004646*cos(4.44853801893 + 13285.93981804009*$t);
$Y0 += 0.00000005507*cos(2.70385106164 + 178.11819026941*$t);
$Y0 += 0.00000005348*cos(6.13707191030 + 24.88347230261*$t);
$Y0 += 0.00000005339*cos(5.48920294964 + 314.6635794648*$t);
$Y0 += 0.00000004678*cos(6.00688425085 + 1474.4299708869*$t);
$Y0 += 0.00000004090*cos(4.92713296866 + 765.3801602981*$t);
$Y0 += 0.00000005008*cos(4.28621887979 + 352.06040979221*$t);
$Y0 += 0.00000005562*cos(5.12126233744 + 6248.1555772537*$t);
$Y0 += 0.00000004983*cos(1.59156517574 + 1055.43296197871*$t);
$Y0 += 0.00000004566*cos(0.54461731254 + 325.1398307571*$t);
$Y0 += 0.00000005327*cos(0.54108371123 + 439.53893767049*$t);
$Y0 += 0.00000005121*cos(4.27746071897 + 711.6931245173*$t);
$Y0 += 0.00000004181*cos(2.68829223641 + 6606.1994373488*$t);
$Y0 += 0.00000004293*cos(3.08794166207 + 46.71424039951*$t);
$Y0 += 0.00000005532*cos(2.10559407460 + 320.03202132639*$t);
$Y0 += 0.00000004492*cos(4.81151725335 + 52177.53457334019*$t);
$Y0 += 0.00000004312*cos(6.10122311855 + 22.8777347325*$t);
$Y0 += 0.00000005332*cos(0.25990559894 + 10178.3652734733*$t);
$Y0 += 0.00000004593*cos(4.86059649000 + 1025.6854977289*$t);
$Y0 += 0.00000005439*cos(3.52367947540 + 823.12328601411*$t);
$Y0 += 0.00000003870*cos(2.70915745235 + 1596.43025976811*$t);
$Y0 += 0.00000003892*cos(0.54485159298 + 226.07308589371*$t);
$Y0 += 0.00000004891*cos(4.37893659385 + 8.1417539045*$t);
$Y0 += 0.00000004689*cos(5.09142557332 + 276.79117625789*$t);
$Y0 += 0.00000004268*cos(1.02189794794 + 374.15181032*$t);
$Y0 += 0.00000003828*cos(3.85156237339 + 2138.2331988371*$t);
$Y0 += 0.00000004592*cos(2.30447944615 + 1376.0176173293*$t);
$Y0 += 0.00000004629*cos(5.68948058955 + 122.71967924421*$t);
$Y0 += 0.00000003871*cos(1.60468692916 + 531.4192552864*$t);
$Y0 += 0.00000004995*cos(5.03302660981 + 32.69959471901*$t);
$Y0 += 0.00000004711*cos(5.14987215661 + 52252.31617190749*$t);
$Y0 += 0.00000003893*cos(1.69554966790 + 116.294153444*$t);
$Y0 += 0.00000004481*cos(3.09400209140 + 53.0458901076*$t);
$Y0 += 0.00000004136*cos(1.02307294098 + 503.1080796351*$t);
$Y0 += 0.00000004508*cos(2.81495366139 + 562.12992738271*$t);
$Y0 += 0.00000005025*cos(1.96944866339 + 283.38345839689*$t);
$Y0 += 0.00000004789*cos(1.11612617111 + 627.7228054099*$t);
$Y0 += 0.00000004021*cos(1.71534059601 + 6603.23049193219*$t);
$Y0 += 0.00000005163*cos(0.06221778581 + 25519.83532335829*$t);
$Y0 += 0.00000004150*cos(2.29239909221 + 27.443027442*$t);
$Y0 += 0.00000003623*cos(0.72377687032 + 1665.5827840429*$t);
$Y0 += 0.00000004634*cos(3.36220803589 + 3227.45397501119*$t);
$Y0 += 0.00000004060*cos(4.64578985602 + 304.4780211834*$t);
$Y0 += 0.00000003862*cos(5.22051626712 + 74.504151189*$t);
$Y0 += 0.00000003561*cos(3.35891592080 + 358.6526919312*$t);
$Y0 += 0.00000004557*cos(1.56282166634 + 25974.74468988559*$t);
$Y0 += 0.00000004264*cos(3.13963744879 + 634.93941827469*$t);
$Y0 += 0.00000004482*cos(0.13471172639 + 342.61105682121*$t);
$Y0 += 0.00000003539*cos(5.28146842802 + 119.7507338276*$t);
$Y0 += 0.00000004304*cos(5.35023544496 + 12567.8799901746*$t);
$Y0 += 0.00000004138*cos(5.60646772527 + 107.2541907502*$t);
$Y0 += 0.00000004284*cos(1.62500514182 + 294.42915866079*$t);
$Y0 += 0.00000003723*cos(0.87405503812 + 987.325459555*$t);
$Y0 += 0.00000003723*cos(4.01564769171 + 987.813094522*$t);
$Y0 += 0.00000004606*cos(0.78314632413 + 14.42521950279*$t);
$Y0 += 0.00000004236*cos(1.51001695106 + 155.9116617901*$t);
$Y0 += 0.00000004458*cos(1.07510939804 + 395.8225197225*$t);
$Y0 += 0.00000004798*cos(3.66850235979 + 530.195415009*$t);
$Y0 += 0.00000003640*cos(3.79814548576 + 2564.8313897131*$t);
$Y0 += 0.00000003563*cos(0.66220700888 + 12451.50877558589*$t);
$Y0 += 0.00000003443*cos(3.70889407011 + 245.2504227591*$t);
$Y0 += 0.00000003429*cos(3.16343780315 + 530.0466571627*$t);
$Y0 += 0.00000003872*cos(5.66297097129 + 308.98632106249*$t);
$Y0 += 0.00000003406*cos(4.31900232100 + 529.82290799351*$t);
$Y0 += 0.00000004348*cos(3.09499292675 + 20311.92816802509*$t);
$Y0 += 0.00000004589*cos(3.67073392808 + 181.08713568601*$t);
$Y0 += 0.00000003854*cos(4.35430550499 + 12564.91104475801*$t);
$Y0 += 0.00000003789*cos(5.86431526205 + 3101.6359018085*$t);
$Y0 += 0.00000003783*cos(1.84016316657 + 1614.17130803499*$t);
$Y0 += 0.00000003904*cos(1.57500723101 + 369.8014580591*$t);
$Y0 += 0.00000003765*cos(3.13810202386 + 1025.94613015981*$t);
$Y0 += 0.00000004231*cos(3.78834664840 + 31.52393855141*$t);
$Y0 += 0.00000004303*cos(3.40265517593 + 396.785727569*$t);
$Y0 += 0.00000004085*cos(0.23841437878 + 14.47091148511*$t);
$Y0 += 0.00000004085*cos(3.38000703237 + 13.9832765181*$t);
$Y0 += 0.00000003346*cos(0.20283168925 + 20351.54567637119*$t);
$Y0 += 0.00000004021*cos(4.51457854549 + 748.3416874468*$t);
$Y0 += 0.00000003753*cos(2.74283876055 + 524.99372948619*$t);
$Y0 += 0.00000003935*cos(2.81201754924 + 1617.14025345159*$t);
$Y0 += 0.00000004432*cos(5.02857999493 + 511.3515908212*$t);
$Y0 += 0.00000004170*cos(2.85784811733 + 274.87931477991*$t);
$Y0 += 0.00000003317*cos(3.36427187559 + 266.70868384049*$t);
$Y0 += 0.00000004545*cos(2.99451528962 + 244.5624015585*$t);
$Y0 += 0.00000003589*cos(6.26623778468 + 59.526297662*$t);
$Y0 += 0.00000003464*cos(1.94815791367 + 102.27950776349*$t);
$Y0 += 0.00000004526*cos(2.98322850842 + 525.7901809939*$t);
$Y0 += 0.00000004603*cos(2.83181132811 + 26088.1469590577*$t);
$Y0 += 0.00000004021*cos(3.81502221170 + 52174.56562792359*$t);
$Y0 += 0.00000003276*cos(3.52742657818 + 1306.3774580875*$t);
$Y0 += 0.00000003214*cos(5.51315121035 + 20348.57673095459*$t);
$Y0 += 0.00000003706*cos(3.68281338464 + 27.07052042651*$t);
$Y0 += 0.00000003759*cos(5.89324799399 + 164.83974989929*$t);
$Y0 += 0.00000003184*cos(0.44574677170 + 538.0115374254*$t);
$Y0 += 0.00000004430*cos(3.80837870078 + 529.6741501472*$t);
$Y0 += 0.00000004064*cos(2.60402368915 + 6130.2998899567*$t);
$Y0 += 0.00000003918*cos(5.77655218093 + 375.43053235159*$t);
$Y0 += 0.00000004058*cos(3.56233663362 + 433.4342904985*$t);
$Y0 += 0.00000003919*cos(1.93774102166 + 1092.8177302186*$t);
$Y0 += 0.00000003919*cos(5.07933367525 + 1093.3053651856*$t);
$Y0 += 0.00000003175*cos(2.71648311000 + 241.3664536058*$t);
$Y0 += 0.00000003135*cos(1.09798751738 + 127.22797912329*$t);
$Y0 += 0.00000003834*cos(3.42021462454 + 14.3133449182*$t);
$Y0 += 0.00000004022*cos(0.15000192924 + 1477.8383671607*$t);
$Y0 += 0.00000003221*cos(2.66340709341 + 78.1611178062*$t);
$Y0 += 0.00000003426*cos(4.77405099085 + 519.8522901607*$t);
$Y0 += 0.00000004369*cos(2.32053270413 + 746.3695797715*$t);
$Y0 += 0.00000003160*cos(3.58900877772 + 664.99569906519*$t);
$Y0 += 0.00000004060*cos(4.49008083850 + 51.87023394*$t);
$Y0 += 0.00000003107*cos(3.81160836398 + 28.9275001503*$t);
$Y0 += 0.00000003259*cos(0.91022076156 + 657.8821520644*$t);
$Y0 += 0.00000003428*cos(2.81213415208 + 2351.5322942751*$t);
$Y0 += 0.00000003235*cos(0.07612839981 + 406.3469551246*$t);
$Y0 += 0.00000003161*cos(0.98519827646 + 982.8720414301*$t);
$Y0 += 0.00000004351*cos(2.61742468676 + 20388.19423930069*$t);
$Y0 += 0.00000003384*cos(1.87729416709 + 660.851097481*$t);
$Y0 += 0.00000003452*cos(5.96738985165 + 326.1823604807*$t);
$Y0 += 0.00000003298*cos(1.72568702486 + 1403.84115801359*$t);
$Y0 += 0.00000003278*cos(5.26025413610 + 941.7700603757*$t);
$Y0 += 0.00000003723*cos(0.29723150363 + 451.9572360581*$t);
$Y0 += 0.00000003173*cos(0.75401885480 + 1400.87221259699*$t);
$Y0 += 0.00000004113*cos(3.44518846630 + 1049.31625271919*$t);
$Y0 += 0.00000004012*cos(0.58002417229 + 52.6039471229*$t);
$Y0 += 0.00000004142*cos(0.18543891861 + 978.6792557361*$t);
$Y0 += 0.00000004295*cos(2.94382365877 + 875.58648151749*$t);
$Y0 += 0.00000003224*cos(5.39074920150 + 459.1189671687*$t);
$Y0 += 0.00000003151*cos(2.11925788926 + 381.8560581518*$t);
$Y0 += 0.00000003633*cos(6.09798622690 + 256.78375799*$t);
$Y0 += 0.00000004250*cos(4.81834414256 + 528.71094230071*$t);
$Y0 += 0.00000004186*cos(3.66267284521 + 943.25453308399*$t);
$Y0 += 0.00000003406*cos(1.82206499429 + 170.46882419179*$t);
$Y0 += 0.00000003231*cos(6.18447276533 + 400.8209466961*$t);
$Y0 += 0.00000003726*cos(5.26557613435 + 1096.48675892331*$t);
$Y0 += 0.00000003792*cos(5.46702979448 + 111.9346114112*$t);
$Y0 += 0.00000003651*cos(6.14012974300 + 154.42718908179*$t);
$Y0 += 0.00000003839*cos(4.02729058795 + 10060.50958617629*$t);
$Y0 += 0.00000003356*cos(5.33785023580 + 1586.34776735071*$t);
$Y0 += 0.00000003219*cos(1.26547692662 + 213.7096692603*$t);
$Y0 += 0.00000003671*cos(3.08823320781 + 57.6023740965*$t);
$Y0 += 0.00000004187*cos(1.86321883254 + 2772.54460848389*$t);
$Y0 += 0.00000002960*cos(3.77221652347 + 2461.7386154945*$t);
$Y0 += 0.00000003331*cos(2.38361288630 + 10133.80671203529*$t);
$Y0 += 0.00000003341*cos(2.74911210318 + 243.7659500508*$t);
$Y0 += 0.00000003466*cos(0.02652921265 + 1150.92455422949*$t);
$Y0 += 0.00000003296*cos(5.06897390591 + 1653.78881638109*$t);
$Y0 += 0.00000003014*cos(3.47171849350 + 1477.3989163035*$t);
$Y0 += 0.00000004118*cos(1.26070911091 + 25596.5890296009*$t);
$Y0 += 0.00000002951*cos(3.47218747597 + 42.78208713641*$t);
$Y0 += 0.00000002951*cos(4.00999244396 + 33.9716191062*$t);
$Y0 += 0.00000003830*cos(3.02640541849 + 323.48860171*$t);
$Y0 += 0.00000003313*cos(3.21919687279 + 939.1099314998*$t);
$Y0 += 0.00000003031*cos(4.32205791511 + 156450.90896068608*$t);
$Y0 += 0.00000003606*cos(2.35740018537 + 1082.2596649217*$t);
$Y0 += 0.00000002967*cos(4.72619454182 + 6.3941566378*$t);
$Y0 += 0.00000002995*cos(5.12808890644 + 139.7099679857*$t);
$Y0 += 0.00000003251*cos(1.93107151339 + 709.29362807231*$t);
$Y0 += 0.00000003480*cos(2.18796105799 + 518.1408149163*$t);
$Y0 += 0.00000003906*cos(4.41951013162 + 1119.90506559249*$t);
$Y0 += 0.00000003406*cos(3.42602191152 + 148.79811478929*$t);
$Y0 += 0.00000003359*cos(0.17159576955 + 642.8494167832*$t);
$Y0 += 0.00000003027*cos(5.00980281133 + 184.0078969928*$t);
$Y0 += 0.00000002918*cos(0.68786396977 + 83.6234357599*$t);
$Y0 += 0.00000003347*cos(4.53587187847 + 217.68751450571*$t);
$Y0 += 0.00000003277*cos(1.84412902317 + 912.5438609877*$t);
$Y0 += 0.00000003277*cos(4.98572167676 + 913.03149595471*$t);
$Y0 += 0.00000003196*cos(4.27207353253 + 363.1061100561*$t);
$Y0 += 0.00000002869*cos(2.93254803921 + 285.35556607221*$t);
$Y0 += 0.00000003158*cos(5.89391855080 + 540.01727499551*$t);
$Y0 += 0.00000002810*cos(3.57723287116 + 1592.2856581839*$t);
$Y0 += 0.00000003471*cos(4.56081319778 + 144.39038864671*$t);
$Y0 += 0.00000003159*cos(5.71530971815 + 197.5561595657*$t);
$Y0 += 0.00000003227*cos(1.02602355265 + 6203.5970158157*$t);
$Y0 += 0.00000003750*cos(1.09900342443 + 303.35724676999*$t);
$Y0 += 0.00000003848*cos(4.95190461444 + 26048.04181574459*$t);
$Y0 += 0.00000002741*cos(0.13004673727 + 70.8326303568*$t);
$Y0 += 0.00000002826*cos(3.64821843137 + 460.2946233363*$t);
$Y0 += 0.00000002748*cos(5.69617268740 + 600.52359545141*$t);
$Y0 += 0.00000003057*cos(4.56550138397 + 23.81969071961*$t);
$Y0 += 0.00000003057*cos(6.05827118955 + 52.934015523*$t);
$Y0 += 0.00000003446*cos(1.96967013470 + 500.1391342185*$t);
$Y0 += 0.00000002703*cos(6.26272265860 + 908.0904428628*$t);
$Y0 += 0.00000002817*cos(1.69638906604 + 210.6221516147*$t);
$Y0 += 0.00000002848*cos(1.16888883373 + 450.4727633498*$t);
$Y0 += 0.00000002724*cos(5.64910484087 + 23.18655127321*$t);
$Y0 += 0.00000002905*cos(1.13800629851 + 149.3193796511*$t);
$Y0 += 0.00000002848*cos(1.48842245891 + 622.66987773339*$t);
$Y0 += 0.00000002733*cos(1.93636126616 + 262.72164882321*$t);
$Y0 += 0.00000002863*cos(2.26914213515 + 175.57663362249*$t);
$Y0 += 0.00000002681*cos(5.83048409789 + 25.1922888433*$t);
$Y0 += 0.00000002822*cos(0.00883588585 + 259.7527034066*$t);
$Y0 += 0.00000003174*cos(1.47302873031 + 347.1193567003*$t);
$Y0 += 0.00000003271*cos(2.97328046332 + 458.5977023069*$t);
$Y0 += 0.00000002894*cos(5.75207939107 + 71.82946809809*$t);
$Y0 += 0.00000003490*cos(1.28003658954 + 664.3713683394*$t);
$Y0 += 0.00000003506*cos(3.91611653269 + 771.3481117113*$t);
$Y0 += 0.00000003326*cos(0.55224065588 + 45.2297676912*$t);
$Y0 += 0.00000002988*cos(4.94563705230 + 299.37021175271*$t);
$Y0 += 0.00000002916*cos(5.17859920603 + 6642.8480002783*$t);
$Y0 += 0.00000002916*cos(5.17859920603 + 6643.3356352453*$t);
$Y0 += 0.00000002630*cos(5.83933407803 + 2751.79141717511*$t);
$Y0 += 0.00000002903*cos(5.88134941337 + 477.08701797169*$t);
$Y0 += 0.00000002804*cos(4.97695491059 + 6681.46867088311*$t);
$Y0 += 0.00000002622*cos(0.73099530901 + 521.8580277308*$t);
$Y0 += 0.00000002606*cos(1.44468831628 + 410.8552550037*$t);
$Y0 += 0.00000003046*cos(0.79307135358 + 959.45373476091*$t);
$Y0 += 0.00000003127*cos(1.47432830628 + 225.5518210319*$t);
$Y0 += 0.00000002700*cos(2.88388264285 + 963.6465204549*$t);
$Y0 += 0.00000002778*cos(3.22939757518 + 238.39750818919*$t);
$Y0 += 0.00000003029*cos(0.01392036536 + 473.2185551834*$t);
$Y0 += 0.00000002671*cos(3.02950363348 + 531.9405201482*$t);
$Y0 += 0.00000002914*cos(2.29089443923 + 554.31380496631*$t);
$Y0 += 0.00000003087*cos(1.37613019083 + 340.2664421304*$t);
$Y0 += 0.00000003438*cos(3.89546045811 + 6171.40187101109*$t);
$Y0 += 0.00000002879*cos(4.04729837696 + 218.6507223522*$t);
$Y0 += 0.00000003140*cos(3.44921752602 + 609.1216151605*$t);
$Y0 += 0.00000003003*cos(5.24831469226 + 464.97504399731*$t);
$Y0 += 0.00000003257*cos(6.23715182295 + 305.96249389171*$t);
$Y0 += 0.00000003211*cos(0.93594149210 + 416.532513406*$t);
$Y0 += 0.00000003265*cos(6.26189223545 + 24.7347144563*$t);
$Y0 += 0.00000002644*cos(5.73202797797 + 508.5941415757*$t);
$Y0 += 0.00000002764*cos(0.26986971158 + 410.59462257279*$t);
$Y0 += 0.00000003428*cos(0.99849665750 + 1012.6195056799*$t);
$Y0 += 0.00000002614*cos(2.50560328703 + 213.5910970313*$t);
$Y0 += 0.00000003469*cos(3.71563719744 + 24.14975911971*$t);
$Y0 += 0.00000002606*cos(5.52398994555 + 213.4947288117*$t);
$Y0 += 0.00000003444*cos(0.99352524535 + 891.57323487331*$t);
$Y0 += 0.00000002540*cos(5.89247404448 + 564.8718702632*$t);
$Y0 += 0.00000002540*cos(2.75088139089 + 565.35950523021*$t);
$Y0 += 0.00000002754*cos(4.26615188091 + 57.5541899867*$t);
$Y0 += 0.00000002531*cos(2.16100356086 + 800.5924346291*$t);
$Y0 += 0.00000002557*cos(2.24078889519 + 341.49028240779*$t);
$Y0 += 0.00000002601*cos(2.97805958626 + 261.2371761149*$t);
$Y0 += 0.00000003027*cos(1.77262933089 + 331.07772159029*$t);
$Y0 += 0.00000002494*cos(5.29381091116 + 203.9816853659*$t);
$Y0 += 0.00000002590*cos(3.33405614398 + 1190.5420625756*$t);
$Y0 += 0.00000003494*cos(1.33796606005 + 534.0793841623*$t);
$Y0 += 0.00000003144*cos(1.59061342897 + 1503.9649868156*$t);
$Y0 += 0.00000002818*cos(2.04818816564 + 49.31067880061*$t);
$Y0 += 0.00000002791*cos(2.91527039269 + 288.32451148881*$t);
$Y0 += 0.00000002471*cos(2.80089246981 + 411.11588743459*$t);
$Y0 += 0.00000003059*cos(1.73898053758 + 172.48911597691*$t);
$Y0 += 0.00000002972*cos(5.01468129705 + 569.29165849331*$t);
$Y0 += 0.00000003418*cos(3.83213917567 + 638.3959986583*$t);
$Y0 += 0.00000002541*cos(3.41936535077 + 1448.09090291091*$t);
$Y0 += 0.00000002663*cos(5.14390724060 + 573.6968925084*$t);
$Y0 += 0.00000002439*cos(2.82552552997 + 1625.9652756968*$t);
$Y0 += 0.00000002739*cos(1.01296407856 + 112.8832650427*$t);
$Y0 += 0.00000002821*cos(4.09784112299 + 402.93606672331*$t);
$Y0 += 0.00000003412*cos(5.98246878418 + 772.8325844196*$t);
$Y0 += 0.00000002624*cos(4.28449219810 + 1624.4808029885*$t);
$Y0 += 0.00000003170*cos(2.10762429629 + 1011.13503297159*$t);
$Y0 += 0.00000002908*cos(3.03870325402 + 635.94831810351*$t);
$Y0 += 0.00000002664*cos(4.25083112029 + 409.41896640519*$t);
$Y0 += 0.00000003091*cos(0.31165645931 + 379.25961975071*$t);
$Y0 += 0.00000003301*cos(3.48430565498 + 19.7936613644*$t);
$Y0 += 0.00000003176*cos(4.86809762289 + 300.9095662152*$t);
$Y0 += 0.00000003022*cos(4.37742921398 + 52.0189917863*$t);
$Y0 += 0.00000002890*cos(6.24788645936 + 293.4323209195*$t);
$Y0 += 0.00000002698*cos(3.26450368524 + 78149.06650032569*$t);
$Y0 += 0.00000002558*cos(2.31657732137 + 1371.3371966683*$t);
$Y0 += 0.00000002619*cos(5.37658613752 + 202.0095776906*$t);
$Y0 += 0.00000003176*cos(5.32134696018 + 10101.61156723069*$t);
$Y0 += 0.00000003341*cos(3.91159951862 + 345.8955164229*$t);
$Y0 += 0.00000002373*cos(0.25236813570 + 130.8513158457*$t);
$Y0 += 0.00000002644*cos(4.25178872695 + 305.10235190919*$t);
$Y0 += 0.00000003339*cos(3.06224357085 + 2849.2983147265*$t);
$Y0 += 0.00000002410*cos(3.15243245459 + 951.8525527931*$t);
$Y0 += 0.00000003303*cos(3.82850925169 + 769.5729459921*$t);
$Y0 += 0.00000003302*cos(3.28815049288 + 90.1520274241*$t);
$Y0 += 0.00000002416*cos(4.43555947495 + 527.929045008*$t);
$Y0 += 0.00000002361*cos(0.63550285699 + 905.1214974462*$t);
$Y0 += 0.00000002737*cos(3.20111311776 + 1206.2199993907*$t);
$Y0 += 0.00000002441*cos(5.40055208431 + 246.73489546739*$t);
$Y0 += 0.00000002441*cos(5.40055208431 + 247.2225304344*$t);
$Y0 += 0.00000002957*cos(2.68753178821 + 238.23075185041*$t);
$Y0 += 0.00000003263*cos(2.55710522617 + 1506.93393223219*$t);
$Y0 += 0.00000003293*cos(1.22031676357 + 66.1522096958*$t);
$Y0 += 0.00000003241*cos(5.00885682863 + 978.4186233052*$t);
$Y0 += 0.00000003149*cos(2.07892234370 + 271.9103693633*$t);
$Y0 += 0.00000003149*cos(5.22051499729 + 271.4227343963*$t);
$Y0 += 0.00000002328*cos(0.36371018198 + 31.73887900*$t);
$Y0 += 0.00000002372*cos(2.25731707420 + 309.0345051723*$t);
$Y0 += 0.00000002372*cos(2.25731707420 + 309.5221401393*$t);
$Y0 += 0.00000002369*cos(5.90092450419 + 418.9801939608*$t);
$Y0 += 0.00000003007*cos(6.21088893213 + 1437.7814079574*$t);
$Y0 += 0.00000003034*cos(4.41266493573 + 330.8627811417*$t);
$Y0 += 0.00000002345*cos(4.37756786631 + 453.9318358609*$t);
$Y0 += 0.00000003118*cos(5.30478414038 + 1434.81246254079*$t);
$Y0 += 0.00000002324*cos(5.43011369487 + 495.2462652364*$t);
$Y0 += 0.00000002340*cos(0.70753572900 + 452.43031681009*$t);
$Y0 += 0.00000002336*cos(1.61735465920 + 189.591279303*$t);
$Y0 += 0.00000002920*cos(2.21678930184 + 1549.69920442121*$t);
$Y0 += 0.00000002494*cos(2.36432658211 + 1187.57311715899*$t);
$Y0 += 0.00000002692*cos(5.74887255496 + 425.13053311509*$t);
$Y0 += 0.00000002874*cos(3.06187769177 + 1654.2764513481*$t);
$Y0 += 0.00000002809*cos(0.95838272583 + 317.5843407716*$t);
$Y0 += 0.00000002735*cos(2.36910571540 + 1513.05064149171*$t);
$Y0 += 0.00000002949*cos(4.69913732218 + 186.71620997851*$t);
$Y0 += 0.00000002320*cos(2.31406529898 + 487.38195871019*$t);
$Y0 += 0.00000003113*cos(4.63822476931 + 353.28425006961*$t);
$Y0 += 0.00000003086*cos(3.30396670519 + 1230.5990217789*$t);
$Y0 += 0.00000002722*cos(0.59415160235 + 49.6831858161*$t);
$Y0 += 0.00000003064*cos(2.11685584705 + 133.13224006171*$t);
$Y0 += 0.00000003064*cos(5.25844850064 + 132.64460509469*$t);
$Y0 += 0.00000002470*cos(1.21163683322 + 532.3824631329*$t);
$Y0 += 0.00000002640*cos(5.23029870928 + 394.33804701421*$t);
$Y0 += 0.00000002252*cos(3.41692637069 + 22.6507321964*$t);
$Y0 += 0.00000003151*cos(3.68959728933 + 859.77184894361*$t);
$Y0 += 0.00000002671*cos(2.49225273236 + 37.3679532925*$t);
$Y0 += 0.00000002380*cos(2.43767088034 + 429.2751346993*$t);
$Y0 += 0.00000002655*cos(4.29167785274 + 484.1523808627*$t);
$Y0 += 0.00000003005*cos(4.59447567553 + 1929.33933741419*$t);
$Y0 += 0.00000002550*cos(0.89259009595 + 496.9431862658*$t);
$Y0 += 0.00000002290*cos(4.98199823333 + 455.18681390559*$t);
$Y0 += 0.00000002608*cos(2.28446271246 + 422.9580392062*$t);
$Y0 += 0.00000002226*cos(0.52897898579 + 47.82620609231*$t);
$Y0 += 0.00000002233*cos(3.36949240110 + 877.3461408717*$t);
$Y0 += 0.00000002764*cos(2.40581332791 + 356.68058425589*$t);
$Y0 += 0.00000002719*cos(3.56033366747 + 177.5823711926*$t);
$Y0 += 0.00000002999*cos(3.63965245652 + 1926.37039199759*$t);
$Y0 += 0.00000002693*cos(2.00893145868 + 6284.8041401832*$t);
$Y0 += 0.00000002369*cos(5.90816921383 + 70.88081446661*$t);
$Y0 += 0.00000002498*cos(2.14771583991 + 315.1512144318*$t);
$Y0 += 0.00000002204*cos(4.77545839271 + 442.886135597*$t);
$Y0 += 0.00000002261*cos(4.89614385698 + 621.2335891349*$t);
$Y0 += 0.00000002213*cos(1.45024938630 + 1189.0575898673*$t);
$Y0 += 0.00000002492*cos(4.24445703283 + 406.9712858504*$t);
$Y0 += 0.00000002976*cos(3.02481916981 + 1014.1039783882*$t);
$Y0 += 0.00000002840*cos(0.64471611311 + 522.3336006103*$t);
$Y0 += 0.00000002340*cos(3.29528259310 + 440.43845504219*$t);
$Y0 += 0.00000003012*cos(2.70591736862 + 15.9096922111*$t);
$Y0 += 0.00000003012*cos(2.70591736862 + 16.3973271781*$t);
$Y0 += 0.00000002372*cos(1.81307027955 + 132.5964209849*$t);
$Y0 += 0.00000002232*cos(3.99248125271 + 158.12984768129*$t);
$Y0 += 0.00000002961*cos(5.94214048852 + 286.3524038135*$t);
$Y0 += 0.00000002961*cos(2.80054783493 + 286.8400387805*$t);
return $Y0;
}
function Neptune_Y1($t) // 342 terms of order 1
{
$Y1 = 0.00357822049*cos(3.03457804662 + 0.2438174835*$t);
$Y1 += 0.00256200629*cos(0.44613631554 + 36.892380413*$t);
$Y1 += 0.00242677799*cos(3.89213848413 + 39.86132582961*$t);
$Y1 += 0.00106073143*cos(4.64936068389 + 37.88921815429*$t);
$Y1 += 0.00103735195*cos(4.51191141127 + 38.3768531213*$t);
$Y1 += 0.00118508231*cos(1.31543504055 + 76.50988875911*$t);
$Y1 += 0.00021930692*cos(1.62939936370 + 35.40790770471*$t);
$Y1 += 0.00017445772*cos(2.69316438174 + 41.3457985379*$t);
$Y1 += 0.00013038843*cos(3.79605108858 + 3.21276290011*$t);
$Y1 += 0.00004928885*cos(0.51813571490 + 73.5409433425*$t);
$Y1 += 0.00002742686*cos(2.49310000815 + 77.9943614674*$t);
$Y1 += 0.00002155134*cos(2.54801435750 + 4.6972356084*$t);
$Y1 += 0.00001882800*cos(2.84958651579 + 33.9234349964*$t);
$Y1 += 0.00001572888*cos(5.79049449823 + 114.6429243969*$t);
$Y1 += 0.00001326507*cos(4.45906236203 + 75.0254160508*$t);
$Y1 += 0.00001343094*cos(1.46758582116 + 42.83027124621*$t);
$Y1 += 0.00000897979*cos(2.69913392072 + 426.8420083595*$t);
$Y1 += 0.00000865617*cos(0.09538823497 + 37.8555882595*$t);
$Y1 += 0.00000849963*cos(4.24519902715 + 38.89811798311*$t);
$Y1 += 0.00000922754*cos(1.77437053635 + 72.05647063421*$t);
$Y1 += 0.00000726258*cos(5.81913445111 + 36.404745446*$t);
$Y1 += 0.00000778220*cos(4.27400223412 + 206.42936592071*$t);
$Y1 += 0.00000754025*cos(3.76126183394 + 220.6564599223*$t);
$Y1 += 0.00000607406*cos(4.81815513635 + 1059.6257476727*$t);
$Y1 += 0.00000571831*cos(0.85851242227 + 522.8212355773*$t);
$Y1 += 0.00000560995*cos(0.34476353479 + 537.0483295789*$t);
$Y1 += 0.00000501078*cos(0.14255476727 + 28.81562556571*$t);
$Y1 += 0.00000493238*cos(0.53463363296 + 39.3736908626*$t);
$Y1 += 0.00000474802*cos(5.97795229031 + 98.6561710411*$t);
$Y1 += 0.00000453975*cos(0.14363576661 + 35.9291725665*$t);
$Y1 += 0.00000471731*cos(3.27137539235 + 1.7282901918*$t);
$Y1 += 0.00000410057*cos(4.19500321025 + 40.8245336761*$t);
$Y1 += 0.00000366899*cos(4.19675940250 + 47.9380806769*$t);
$Y1 += 0.00000450109*cos(2.82750084230 + 76.0222537921*$t);
$Y1 += 0.00000354347*cos(1.55870450456 + 1.24065522479*$t);
$Y1 += 0.00000300159*cos(1.31608359577 + 6.1817083167*$t);
$Y1 += 0.00000327501*cos(5.77559197316 + 33.43580002939*$t);
$Y1 += 0.00000174973*cos(4.06947925642 + 32.4389622881*$t);
$Y1 += 0.00000171503*cos(2.86905921629 + 34.1840674273*$t);
$Y1 += 0.00000156749*cos(1.02465451730 + 79.47883417571*$t);
$Y1 += 0.00000152549*cos(5.29458792782 + 30.300098274*$t);
$Y1 += 0.00000150775*cos(1.46875297221 + 42.5696388153*$t);
$Y1 += 0.00000162280*cos(5.51215947389 + 31.2633061205*$t);
$Y1 += 0.00000131609*cos(3.19975255613 + 7.83293736379*$t);
$Y1 += 0.00000136159*cos(3.00798814109 + 70.5719979259*$t);
$Y1 += 0.00000134616*cos(5.10422989672 + 45.49040012211*$t);
$Y1 += 0.00000116304*cos(5.32949492640 + 46.4536079686*$t);
$Y1 += 0.00000115918*cos(0.24763705851 + 44.31474395451*$t);
$Y1 += 0.00000110293*cos(4.69481457289 + 35.4560918145*$t);
$Y1 += 0.00000099282*cos(0.34979488247 + 2.7251279331*$t);
$Y1 += 0.00000099914*cos(5.92865840649 + 41.2976144281*$t);
$Y1 += 0.00000108706*cos(1.52062460635 + 113.15845168861*$t);
$Y1 += 0.00000088965*cos(5.83760483379 + 60.52313540329*$t);
$Y1 += 0.00000086886*cos(0.75633169755 + 31.9513273211*$t);
$Y1 += 0.00000072232*cos(1.93507773057 + 640.1411037975*$t);
$Y1 += 0.00000086985*cos(3.23018942725 + 419.72846135871*$t);
$Y1 += 0.00000073430*cos(5.93590859407 + 70.08436295889*$t);
$Y1 += 0.00000053395*cos(2.89441175199 + 433.9555553603*$t);
$Y1 += 0.00000057451*cos(5.79242631159 + 213.5429129215*$t);
$Y1 += 0.00000051458*cos(2.44646741842 + 69.3963417583*$t);
$Y1 += 0.00000048797*cos(4.44285537763 + 111.67397898031*$t);
$Y1 += 0.00000048557*cos(1.53569583062 + 2.6769438233*$t);
$Y1 += 0.00000042206*cos(4.80902694866 + 74.53778108379*$t);
$Y1 += 0.00000042550*cos(0.10167685669 + 7.66618102501*$t);
$Y1 += 0.00000039462*cos(4.26971409186 + 31.7845709823*$t);
$Y1 += 0.00000039445*cos(5.65869884949 + 12.77399045571*$t);
$Y1 += 0.00000042389*cos(4.01940273222 + 110.189506272*$t);
$Y1 += 0.00000044118*cos(5.15854031484 + 1589.3167127673*$t);
$Y1 += 0.00000037988*cos(4.30930512095 + 6.3484646555*$t);
$Y1 += 0.00000037802*cos(4.41701497532 + 14.258463164*$t);
$Y1 += 0.00000036280*cos(1.56655638104 + 273.8222308413*$t);
$Y1 += 0.00000037247*cos(6.20048406786 + 73.0533083755*$t);
$Y1 += 0.00000036282*cos(1.28256818253 + 84.5866436064*$t);
$Y1 += 0.00000040018*cos(2.70338838405 + 4.4366031775*$t);
$Y1 += 0.00000032400*cos(0.07249247133 + 44.96913526031*$t);
$Y1 += 0.00000031842*cos(0.45413330049 + 34.9202727377*$t);
$Y1 += 0.00000032037*cos(1.37472212177 + 27.3311528574*$t);
$Y1 += 0.00000034456*cos(1.80072966680 + 529.9347825781*$t);
$Y1 += 0.00000031208*cos(0.16340478702 + 1052.51220067191*$t);
$Y1 += 0.00000030002*cos(0.76559925402 + 1066.7392946735*$t);
$Y1 += 0.00000033805*cos(4.47034863791 + 149.8070146181*$t);
$Y1 += 0.00000033096*cos(0.88714456679 + 116.12739710521*$t);
$Y1 += 0.00000030571*cos(5.59230793843 + 22.3900997655*$t);
$Y1 += 0.00000024020*cos(4.95060362012 + 63.9797157869*$t);
$Y1 += 0.00000023780*cos(5.91699417045 + 105.76971804189*$t);
$Y1 += 0.00000023110*cos(4.08428537053 + 23.87457247379*$t);
$Y1 += 0.00000022233*cos(2.78662410030 + 174.9222423167*$t);
$Y1 += 0.00000021377*cos(2.17060095397 + 316.6356871401*$t);
$Y1 += 0.00000025400*cos(6.09781709877 + 106.73292588839*$t);
$Y1 += 0.00000020754*cos(5.65712726150 + 5.6604434549*$t);
$Y1 += 0.00000025572*cos(0.74829738831 + 529.44714761109*$t);
$Y1 += 0.00000019878*cos(5.73044838456 + 32.9602271499*$t);
$Y1 += 0.00000019754*cos(2.91920492275 + 49.42255338521*$t);
$Y1 += 0.00000019241*cos(4.44333892046 + 7.14491616321*$t);
$Y1 += 0.00000017979*cos(6.19717030924 + 62.4952430786*$t);
$Y1 += 0.00000019513*cos(0.93528726944 + 68.5998902506*$t);
$Y1 += 0.00000018273*cos(3.63050723326 + 227.77000692311*$t);
$Y1 += 0.00000017552*cos(4.23270606709 + 69.0875252176*$t);
$Y1 += 0.00000016704*cos(5.51562885485 + 40.8581635709*$t);
$Y1 += 0.00000016996*cos(2.67528896312 + 91.54262404029*$t);
$Y1 += 0.00000016800*cos(2.08712613778 + 30.4668546128*$t);
$Y1 += 0.00000016800*cos(5.22871879137 + 30.95448957981*$t);
$Y1 += 0.00000016400*cos(3.45346576095 + 33.26904369061*$t);
$Y1 += 0.00000017242*cos(4.89590986485 + 11.55015017831*$t);
$Y1 += 0.00000015590*cos(0.42181314281 + 37.1048287341*$t);
$Y1 += 0.00000015590*cos(3.91877412353 + 39.6488775085*$t);
$Y1 += 0.00000015469*cos(4.91170489358 + 43.79347909271*$t);
$Y1 += 0.00000016590*cos(1.19757876004 + 33.71098667531*$t);
$Y1 += 0.00000019347*cos(4.06418655235 + 152.77596003471*$t);
$Y1 += 0.00000014994*cos(4.29075263091 + 319.06881347989*$t);
$Y1 += 0.00000014395*cos(5.67189517492 + 110.45013870291*$t);
$Y1 += 0.00000015528*cos(5.87587490674 + 79.43065006591*$t);
$Y1 += 0.00000013727*cos(0.88731617093 + 43.484662552*$t);
$Y1 += 0.00000013988*cos(5.54059308769 + 4.2096006414*$t);
$Y1 += 0.00000014467*cos(5.13403607047 + 108.70503356371*$t);
$Y1 += 0.00000016652*cos(4.74696813612 + 304.84171947829*$t);
$Y1 += 0.00000015153*cos(1.64704158732 + 72.31710306511*$t);
$Y1 += 0.00000012810*cos(0.80784638784 + 11.2895177474*$t);
$Y1 += 0.00000012751*cos(5.32663860873 + 45.7992166628*$t);
$Y1 += 0.00000013293*cos(3.14432194523 + 43.0427195673*$t);
$Y1 += 0.00000012751*cos(0.98606109283 + 515.70768857651*$t);
$Y1 += 0.00000011616*cos(4.07265201948 + 97.17169833279*$t);
$Y1 += 0.00000011538*cos(4.63247506911 + 633.0275567967*$t);
$Y1 += 0.00000011046*cos(5.97427560684 + 25.8466801491*$t);
$Y1 += 0.00000011032*cos(5.39646944302 + 4.8639919472*$t);
$Y1 += 0.00000011189*cos(2.37859784397 + 83.1021708981*$t);
$Y1 += 0.00000010860*cos(5.09978655023 + 9.8050450391*$t);
$Y1 += 0.00000010958*cos(3.05455531642 + 415.04804069769*$t);
$Y1 += 0.00000010244*cos(4.97854342755 + 71.09326278771*$t);
$Y1 += 0.00000011427*cos(3.07758676009 + 129.6756596781*$t);
$Y1 += 0.00000009895*cos(4.05388510292 + 251.6759485593*$t);
$Y1 += 0.00000009802*cos(3.40894474212 + 44.48150029329*$t);
$Y1 += 0.00000011029*cos(6.26821027792 + 143.38148881789*$t);
$Y1 += 0.00000009235*cos(4.42290386641 + 199.3158189199*$t);
$Y1 += 0.00000008899*cos(1.97879285736 + 7.3573644843*$t);
$Y1 += 0.00000007746*cos(4.32608949084 + 103.3365917021*$t);
$Y1 += 0.00000008691*cos(2.29051174612 + 32.7477788288*$t);
$Y1 += 0.00000007714*cos(3.51056446926 + 65.46418849521*$t);
$Y1 += 0.00000008007*cos(0.23872922784 + 544.1618765797*$t);
$Y1 += 0.00000007513*cos(6.18736050552 + 69.6087900794*$t);
$Y1 += 0.00000007336*cos(3.43409422317 + 15.7429358723*$t);
$Y1 += 0.00000007195*cos(4.56950200257 + 949.4194264533*$t);
$Y1 += 0.00000009601*cos(5.68191403081 + 80.963306884*$t);
$Y1 += 0.00000008094*cos(1.70304241092 + 526.7533888404*$t);
$Y1 += 0.00000008109*cos(5.77532188995 + 533.1161763158*$t);
$Y1 += 0.00000006906*cos(3.70672232078 + 137.2768416459*$t);
$Y1 += 0.00000007455*cos(1.11362695292 + 105.2484531801*$t);
$Y1 += 0.00000007826*cos(2.45321405406 + 77.0311536209*$t);
$Y1 += 0.00000006529*cos(5.57837212493 + 65.2035560643*$t);
$Y1 += 0.00000007134*cos(2.05010386093 + 44.00592741381*$t);
$Y1 += 0.00000006186*cos(0.85023811841 + 31.4757544416*$t);
$Y1 += 0.00000006186*cos(3.99183077200 + 30.9881194746*$t);
$Y1 += 0.00000007698*cos(4.89115030216 + 14.47091148511*$t);
$Y1 += 0.00000007434*cos(3.96333556733 + 146.8380692015*$t);
$Y1 += 0.00000006317*cos(5.24777799313 + 66.9486612035*$t);
$Y1 += 0.00000006903*cos(4.63739310514 + 75.98862389731*$t);
$Y1 += 0.00000005591*cos(3.47781120117 + 448.98829064149*$t);
$Y1 += 0.00000006425*cos(3.47626562775 + 678.27413943531*$t);
$Y1 += 0.00000005483*cos(1.61247704205 + 34.44469985821*$t);
$Y1 += 0.00000005483*cos(2.72811022429 + 42.3090063844*$t);
$Y1 += 0.00000005519*cos(1.27116075236 + 853.4401992355*$t);
$Y1 += 0.00000005483*cos(5.10869779974 + 100.14064374939*$t);
$Y1 += 0.00000005483*cos(1.96710514615 + 100.6282787164*$t);
$Y1 += 0.00000006288*cos(2.60319684406 + 143.9027536797*$t);
$Y1 += 0.00000006239*cos(4.20987077870 + 17.76992530181*$t);
$Y1 += 0.00000005246*cos(3.52035332490 + 209.6107596584*$t);
$Y1 += 0.00000005331*cos(4.83550697489 + 45.9659730016*$t);
$Y1 += 0.00000005131*cos(4.53503564274 + 217.4750661846*$t);
$Y1 += 0.00000005325*cos(2.82680123889 + 19.2543980101*$t);
$Y1 += 0.00000005172*cos(2.44008575183 + 25.3590451821*$t);
$Y1 += 0.00000005139*cos(4.17507085285 + 6.86972951729*$t);
$Y1 += 0.00000005992*cos(2.76367557670 + 9.3174100721*$t);
$Y1 += 0.00000005011*cos(4.91884286875 + 38.85242600079*$t);
$Y1 += 0.00000004975*cos(3.01044533436 + 525.2543619171*$t);
$Y1 += 0.00000004910*cos(3.47707407879 + 45.277951801*$t);
$Y1 += 0.00000005250*cos(0.16559612363 + 0.719390363*$t);
$Y1 += 0.00000004731*cos(6.27469301850 + 40.3825906914*$t);
$Y1 += 0.00000004731*cos(1.20748690143 + 36.3711155512*$t);
$Y1 += 0.00000005910*cos(1.40566081690 + 6168.43292559449*$t);
$Y1 += 0.00000004700*cos(4.66314397827 + 50.9070260935*$t);
$Y1 += 0.00000005127*cos(1.64029328726 + 140.9338082631*$t);
$Y1 += 0.00000005321*cos(2.09939112611 + 1104.87233031131*$t);
$Y1 += 0.00000006339*cos(1.02786059939 + 10175.3963280567*$t);
$Y1 += 0.00000004983*cos(1.46113982673 + 1090.6452363097*$t);
$Y1 += 0.00000005487*cos(0.13979521980 + 180.03005174739*$t);
$Y1 += 0.00000004560*cos(2.38015606975 + 323.74923414091*$t);
$Y1 += 0.00000004689*cos(5.95510153546 + 1068.22376738181*$t);
$Y1 += 0.00000005562*cos(2.83481631972 + 10098.64262181409*$t);
$Y1 += 0.00000004432*cos(0.83559275468 + 415.7963080956*$t);
$Y1 += 0.00000004456*cos(1.46246408589 + 235.68919520349*$t);
$Y1 += 0.00000004289*cos(4.40449246840 + 1051.0277279636*$t);
$Y1 += 0.00000004145*cos(4.70457869197 + 33.6964324603*$t);
$Y1 += 0.00000004167*cos(3.29886964345 + 416.532513406*$t);
$Y1 += 0.00000004107*cos(0.91956436736 + 61.01077037031*$t);
$Y1 += 0.00000004088*cos(3.88660175347 + 423.66061462181*$t);
$Y1 += 0.00000005027*cos(2.86873904525 + 21.7020785649*$t);
$Y1 += 0.00000004030*cos(3.44189647415 + 216.72430665921*$t);
$Y1 += 0.00000004278*cos(6.22413352457 + 310.4707937708*$t);
$Y1 += 0.00000004013*cos(2.96769071148 + 104275.10267753768*$t);
$Y1 += 0.00000004505*cos(5.93746161630 + 291.9478482112*$t);
$Y1 += 0.00000003959*cos(4.60954974650 + 210.36151918381*$t);
$Y1 += 0.00000003962*cos(5.59162611271 + 978.93988816699*$t);
$Y1 += 0.00000005561*cos(3.31923216598 + 1409.47023230609*$t);
$Y1 += 0.00000005073*cos(5.15285057233 + 1498.3359125231*$t);
$Y1 += 0.00000004227*cos(6.19954210169 + 534.38820070301*$t);
$Y1 += 0.00000004054*cos(2.45804475947 + 430.02340209721*$t);
$Y1 += 0.00000003863*cos(0.67184399240 + 1127.50624756031*$t);
$Y1 += 0.00000004367*cos(0.14073726901 + 58.9837809408*$t);
$Y1 += 0.00000004694*cos(4.91041582057 + 77.5067265004*$t);
$Y1 += 0.00000004144*cos(5.16137286617 + 518.1408149163*$t);
$Y1 += 0.00000004289*cos(1.72696806473 + 921.3206991231*$t);
$Y1 += 0.00000004039*cos(5.37067473153 + 1622.76932774409*$t);
$Y1 += 0.00000005180*cos(3.80035699018 + 99.1438060081*$t);
$Y1 += 0.00000004845*cos(1.33083083566 + 136.78920667889*$t);
$Y1 += 0.00000004827*cos(1.21379713661 + 418.2439886504*$t);
$Y1 += 0.00000003722*cos(4.94171351364 + 1065.2548219652*$t);
$Y1 += 0.00000004729*cos(2.19682691364 + 421.212934067*$t);
$Y1 += 0.00000003490*cos(0.54756448610 + 986.8041946932*$t);
$Y1 += 0.00000003715*cos(1.30912268012 + 254.10907489909*$t);
$Y1 += 0.00000003488*cos(5.95100195908 + 187.9400502559*$t);
$Y1 += 0.00000003989*cos(5.37041318514 + 95.7354097343*$t);
$Y1 += 0.00000003603*cos(2.22310220083 + 67.1154175423*$t);
$Y1 += 0.00000003530*cos(0.93986174870 + 24.36220744081*$t);
$Y1 += 0.00000003538*cos(1.51952328076 + 57.4993082325*$t);
$Y1 += 0.00000003838*cos(3.56895316428 + 979.90309601349*$t);
$Y1 += 0.00000003615*cos(1.60474010406 + 493.2862196486*$t);
$Y1 += 0.00000003457*cos(1.79944886939 + 807.70598162989*$t);
$Y1 += 0.00000003648*cos(1.43920595596 + 647.25465079831*$t);
$Y1 += 0.00000004048*cos(6.25251011272 + 979.69064769239*$t);
$Y1 += 0.00000004414*cos(2.00415973362 + 1062.59469308931*$t);
$Y1 += 0.00000003631*cos(0.74841494891 + 486.1726726478*$t);
$Y1 += 0.00000003347*cos(4.13560148025 + 151.2914873264*$t);
$Y1 += 0.00000003305*cos(5.23397852699 + 1544.07013012871*$t);
$Y1 += 0.00000003428*cos(0.11713176717 + 107.2205608554*$t);
$Y1 += 0.00000003286*cos(3.55869926238 + 1131.6990332543*$t);
$Y1 += 0.00000003389*cos(3.22644735392 + 28.98238190449*$t);
$Y1 += 0.00000003353*cos(2.30309048870 + 10289.7954349701*$t);
$Y1 += 0.00000003214*cos(0.83720162261 + 569.5522909242*$t);
$Y1 += 0.00000003210*cos(1.05449812296 + 114.1552894299*$t);
$Y1 += 0.00000003353*cos(1.62613341505 + 157.8837694654*$t);
$Y1 += 0.00000003339*cos(5.26712406495 + 443.0985839181*$t);
$Y1 += 0.00000003188*cos(2.62887165071 + 361.13400238079*$t);
$Y1 += 0.00000003390*cos(5.53564544873 + 1558.2972241303*$t);
$Y1 += 0.00000003933*cos(2.08622660372 + 313.43973918739*$t);
$Y1 += 0.00000003131*cos(0.52572989907 + 275.3067035496*$t);
$Y1 += 0.00000003156*cos(6.23565991208 + 431.8404353331*$t);
$Y1 += 0.00000003993*cos(4.90080803105 + 67.6366824041*$t);
$Y1 += 0.00000003708*cos(0.24836934654 + 500.39976664941*$t);
$Y1 += 0.00000004051*cos(4.41826493037 + 59.038662695*$t);
$Y1 += 0.00000003757*cos(2.02838234929 + 296.4012663361*$t);
$Y1 += 0.00000003138*cos(0.63906969040 + 347.1193567003*$t);
$Y1 += 0.00000003086*cos(1.67235466145 + 392.9017584157*$t);
$Y1 += 0.00000003466*cos(1.60020779124 + 215.1941419686*$t);
$Y1 += 0.00000003139*cos(3.09999506971 + 159.36824217371*$t);
$Y1 += 0.00000003466*cos(3.47361825954 + 2145.34674583789*$t);
$Y1 += 0.00000003737*cos(3.53018898305 + 449.0364747513*$t);
$Y1 += 0.00000003286*cos(1.82620986507 + 435.44002806861*$t);
$Y1 += 0.00000003043*cos(5.02988988519 + 2.20386307129*$t);
$Y1 += 0.00000003999*cos(5.93005561135 + 6245.1866318371*$t);
$Y1 += 0.00000003999*cos(5.93005561135 + 6244.69899687009*$t);
$Y1 += 0.00000002999*cos(0.07518657231 + 526.00262931501*$t);
$Y1 += 0.00000003014*cos(5.52171912448 + 1054.94532701169*$t);
$Y1 += 0.00000003091*cos(4.52477390940 + 42.997027585*$t);
$Y1 += 0.00000003274*cos(5.81401559586 + 736.1203310153*$t);
$Y1 += 0.00000002965*cos(1.12065249261 + 533.8669358412*$t);
$Y1 += 0.00000003149*cos(2.34844411589 + 103.7639804718*$t);
$Y1 += 0.00000003610*cos(1.47397387042 + 55.05162767771*$t);
$Y1 += 0.00000002937*cos(5.93931708618 + 385.2523923381*$t);
$Y1 += 0.00000002903*cos(4.35235911504 + 117.5636857037*$t);
$Y1 += 0.00000002968*cos(1.28091906944 + 613.31440085451*$t);
$Y1 += 0.00000003097*cos(4.42120029558 + 1395.24313830449*$t);
$Y1 += 0.00000002931*cos(3.60795663266 + 202.4972126576*$t);
$Y1 += 0.00000003013*cos(1.49526296600 + 121.2352065359*$t);
$Y1 += 0.00000003206*cos(2.86107032756 + 53.40958840249*$t);
$Y1 += 0.00000003269*cos(0.45608619325 + 480.00777927849*$t);
$Y1 += 0.00000003948*cos(5.43052261409 + 112.8832650427*$t);
$Y1 += 0.00000002824*cos(3.14926129801 + 176.406715025*$t);
$Y1 += 0.00000002827*cos(0.36860696411 + 429.81095377611*$t);
$Y1 += 0.00000003348*cos(3.55163976673 + 6284.8041401832*$t);
$Y1 += 0.00000002862*cos(2.43356518574 + 384.02855206069*$t);
$Y1 += 0.00000003228*cos(5.13696496058 + 52.6039471229*$t);
$Y1 += 0.00000003446*cos(5.32686217736 + 62.0076081116*$t);
$Y1 += 0.00000003096*cos(4.83839993614 + 71.82946809809*$t);
$Y1 += 0.00000003031*cos(6.24076040166 + 494.2348732801*$t);
$Y1 += 0.00000003021*cos(6.10531658530 + 328.5964111407*$t);
$Y1 += 0.00000002731*cos(0.79873177065 + 432.471082652*$t);
$Y1 += 0.00000003171*cos(4.97187934370 + 10215.0138364028*$t);
$Y1 += 0.00000002674*cos(2.29257372574 + 158.12984768129*$t);
$Y1 += 0.00000002901*cos(4.22947732371 + 559.4697985068*$t);
$Y1 += 0.00000002631*cos(4.21066619701 + 2008.8013566425*$t);
$Y1 += 0.00000002695*cos(3.54636234855 + 81.61769818981*$t);
$Y1 += 0.00000002695*cos(3.54636234855 + 81.13006322279*$t);
$Y1 += 0.00000002721*cos(4.26045579509 + 326.1823604807*$t);
$Y1 += 0.00000002775*cos(4.27616320157 + 457.8614969965*$t);
$Y1 += 0.00000003054*cos(6.23455983590 + 6281.8351947666*$t);
$Y1 += 0.00000002852*cos(2.90626399353 + 186.71620997851*$t);
$Y1 += 0.00000002538*cos(1.73224718947 + 111.18634401329*$t);
$Y1 += 0.00000002835*cos(6.07135630955 + 419.50145882259*$t);
$Y1 += 0.00000002868*cos(3.66893253825 + 844.56699288049*$t);
$Y1 += 0.00000002530*cos(2.61093052560 + 1050.7525413177*$t);
$Y1 += 0.00000002843*cos(4.15972261299 + 830.3398988789*$t);
$Y1 += 0.00000002848*cos(4.69330398359 + 659.36662477269*$t);
$Y1 += 0.00000003031*cos(2.55942970028 + 406.3469551246*$t);
$Y1 += 0.00000002907*cos(3.71503751053 + 573.6968925084*$t);
$Y1 += 0.00000002536*cos(5.01251643852 + 82.6145359311*$t);
$Y1 += 0.00000002957*cos(2.02121290773 + 947.70795120889*$t);
$Y1 += 0.00000003321*cos(3.87615887284 + 449.9996825978*$t);
$Y1 += 0.00000003117*cos(4.74251772899 + 457.32567791969*$t);
$Y1 += 0.00000002902*cos(1.37682148855 + 10212.0448909862*$t);
$Y1 += 0.00000002459*cos(3.74222344492 + 450.73339578069*$t);
$Y1 += 0.00000002557*cos(1.32711393852 + 525.4813644532*$t);
$Y1 += 0.00000002624*cos(3.35106775051 + 946.2234785006*$t);
$Y1 += 0.00000002417*cos(0.09697452811 + 351.5727748252*$t);
$Y1 += 0.00000002454*cos(3.27912412212 + 196.01680510321*$t);
$Y1 += 0.00000002585*cos(5.70826849733 + 248.70700314271*$t);
$Y1 += 0.00000002549*cos(0.23244817308 + 1062.80714141041*$t);
$Y1 += 0.00000002615*cos(4.06090316067 + 425.13053311509*$t);
$Y1 += 0.00000002387*cos(2.04191008078 + 654.3681977991*$t);
$Y1 += 0.00000002439*cos(1.45718218253 + 462.74230389109*$t);
$Y1 += 0.00000002367*cos(2.75159024078 + 107.52937739611*$t);
$Y1 += 0.00000002538*cos(4.19012282298 + 481.2316195559*$t);
$Y1 += 0.00000002479*cos(3.56223236298 + 205.9417309537*$t);
$Y1 += 0.00000002791*cos(5.44719714506 + 24.14975911971*$t);
$Y1 += 0.00000002626*cos(2.73743077295 + 213.0552779545*$t);
$Y1 += 0.00000002445*cos(0.13750022894 + 146.87169909629*$t);
$Y1 += 0.00000002575*cos(0.32351821119 + 86.07111631471*$t);
$Y1 += 0.00000003120*cos(1.20503303199 + 456.36247007319*$t);
$Y1 += 0.00000002587*cos(1.59304506140 + 400.8209466961*$t);
$Y1 += 0.00000002261*cos(3.24987212470 + 644.33388949151*$t);
$Y1 += 0.00000002796*cos(0.30156280343 + 216.67861467689*$t);
$Y1 += 0.00000002896*cos(0.71993168447 + 1685.2959399851*$t);
$Y1 += 0.00000002453*cos(4.81368306062 + 109.9625037359*$t);
$Y1 += 0.00000002325*cos(0.25394919776 + 442.886135597*$t);
$Y1 += 0.00000002387*cos(3.75345095238 + 599.0873068529*$t);
$Y1 += 0.00000002873*cos(5.13430840850 + 834.5326845729*$t);
$Y1 += 0.00000002963*cos(5.48260613029 + 2119.00767786191*$t);
$Y1 += 0.00000002233*cos(4.37346978315 + 709.29362807231*$t);
$Y1 += 0.00000002337*cos(2.73478761543 + 210.5739675049*$t);
$Y1 += 0.00000002259*cos(5.24608284286 + 29.5036467663*$t);
$Y1 += 0.00000002300*cos(2.19835177792 + 986.0534351678*$t);
$Y1 += 0.00000002199*cos(1.21359358990 + 606.2008538537*$t);
$Y1 += 0.00000002325*cos(4.84070679976 + 109.701871305*$t);
return $Y1*$t;
}
function Neptune_Y2($t) // 113 terms of order 2
{
$Y2 = 0.01620002167*cos(5.31277371181 + 38.3768531213*$t);
$Y2 += 0.00028138323*cos(4.01361134771 + 0.2438174835*$t);
$Y2 += 0.00012318619*cos(1.01433481938 + 39.86132582961*$t);
$Y2 += 0.00008346956*cos(0.42201817445 + 37.88921815429*$t);
$Y2 += 0.00005131003*cos(3.55894443240 + 76.50988875911*$t);
$Y2 += 0.00004109792*cos(6.17733924169 + 36.892380413*$t);
$Y2 += 0.00001369663*cos(1.98683082370 + 1.7282901918*$t);
$Y2 += 0.00000633706*cos(0.81055475696 + 3.21276290011*$t);
$Y2 += 0.00000583006*cos(6.25831267359 + 41.3457985379*$t);
$Y2 += 0.00000546517*cos(5.42211492491 + 75.0254160508*$t);
$Y2 += 0.00000246224*cos(0.87539145895 + 213.5429129215*$t);
$Y2 += 0.00000159773*cos(5.97653264005 + 206.42936592071*$t);
$Y2 += 0.00000156619*cos(2.04577076492 + 220.6564599223*$t);
$Y2 += 0.00000191674*cos(0.60086490402 + 529.9347825781*$t);
$Y2 += 0.00000188212*cos(2.86105100061 + 35.40790770471*$t);
$Y2 += 0.00000117788*cos(2.55450585422 + 522.8212355773*$t);
$Y2 += 0.00000114488*cos(4.76320074833 + 35.9291725665*$t);
$Y2 += 0.00000112666*cos(4.92459292590 + 537.0483295789*$t);
$Y2 += 0.00000105949*cos(5.84319366771 + 40.8245336761*$t);
$Y2 += 0.00000077696*cos(5.55872082952 + 77.9943614674*$t);
$Y2 += 0.00000090798*cos(0.48400254359 + 73.5409433425*$t);
$Y2 += 0.00000067696*cos(0.87599797871 + 426.8420083595*$t);
$Y2 += 0.00000074860*cos(6.15585546499 + 4.6972356084*$t);
$Y2 += 0.00000064717*cos(1.34762573111 + 34.9202727377*$t);
$Y2 += 0.00000051378*cos(1.41763897935 + 36.404745446*$t);
$Y2 += 0.00000050205*cos(5.38246230326 + 42.83027124621*$t);
$Y2 += 0.00000040929*cos(4.64969715335 + 33.9234349964*$t);
$Y2 += 0.00000036136*cos(1.44221344970 + 98.6561710411*$t);
$Y2 += 0.00000033953*cos(3.45488669371 + 1059.6257476727*$t);
$Y2 += 0.00000034603*cos(4.83781708761 + 76.0222537921*$t);
$Y2 += 0.00000035441*cos(0.92439194787 + 31.2633061205*$t);
$Y2 += 0.00000029614*cos(1.77735061850 + 28.81562556571*$t);
$Y2 += 0.00000031027*cos(3.40007815913 + 45.49040012211*$t);
$Y2 += 0.00000035521*cos(2.70107635202 + 39.3736908626*$t);
$Y2 += 0.00000025488*cos(2.47241259934 + 47.9380806769*$t);
$Y2 += 0.00000020115*cos(5.50307482336 + 1.24065522479*$t);
$Y2 += 0.00000014328*cos(1.16675266548 + 433.9555553603*$t);
$Y2 += 0.00000015503*cos(1.56080925316 + 114.6429243969*$t);
$Y2 += 0.00000016998*cos(2.50473507501 + 33.43580002939*$t);
$Y2 += 0.00000013166*cos(5.10795715214 + 419.72846135871*$t);
$Y2 += 0.00000013053*cos(1.40065469605 + 60.52313540329*$t);
$Y2 += 0.00000010637*cos(4.37252543304 + 34.1840674273*$t);
$Y2 += 0.00000009610*cos(0.08619380662 + 640.1411037975*$t);
$Y2 += 0.00000009354*cos(6.12654852334 + 42.5696388153*$t);
$Y2 += 0.00000011447*cos(1.48554252527 + 71.5688356672*$t);
$Y2 += 0.00000008454*cos(4.32641802480 + 2.7251279331*$t);
$Y2 += 0.00000009012*cos(2.87032368668 + 72.05647063421*$t);
$Y2 += 0.00000009594*cos(4.22403656438 + 69.3963417583*$t);
$Y2 += 0.00000007419*cos(1.92565712551 + 227.77000692311*$t);
$Y2 += 0.00000006800*cos(3.57170452455 + 113.15845168861*$t);
$Y2 += 0.00000006267*cos(5.50825416463 + 1066.7392946735*$t);
$Y2 += 0.00000006895*cos(2.74011142877 + 111.67397898031*$t);
$Y2 += 0.00000005770*cos(5.94492182042 + 32.4389622881*$t);
$Y2 += 0.00000005686*cos(0.66726291170 + 30.300098274*$t);
$Y2 += 0.00000006679*cos(3.28449699734 + 258.78949556011*$t);
$Y2 += 0.00000007799*cos(0.01316502615 + 7.3573644843*$t);
$Y2 += 0.00000005906*cos(4.35406299044 + 44.31474395451*$t);
$Y2 += 0.00000005606*cos(3.60862172739 + 46.4536079686*$t);
$Y2 += 0.00000005525*cos(2.04832143671 + 1052.51220067191*$t);
$Y2 += 0.00000007257*cos(4.88554087166 + 1097.7587833105*$t);
$Y2 += 0.00000005427*cos(3.37665889417 + 105.76971804189*$t);
$Y2 += 0.00000005179*cos(2.68906561571 + 515.70768857651*$t);
$Y2 += 0.00000005163*cos(1.56680359144 + 7.83293736379*$t);
$Y2 += 0.00000004688*cos(0.95059580199 + 222.14093263061*$t);
$Y2 += 0.00000005379*cos(1.15102731522 + 22.3900997655*$t);
$Y2 += 0.00000004607*cos(0.17861908533 + 549.1603035533*$t);
$Y2 += 0.00000004101*cos(1.86095686008 + 213.0552779545*$t);
$Y2 += 0.00000004262*cos(3.94315605774 + 204.9448932124*$t);
$Y2 += 0.00000003916*cos(4.92658442131 + 207.913838629*$t);
$Y2 += 0.00000004089*cos(0.26445229364 + 304.84171947829*$t);
$Y2 += 0.00000003729*cos(6.12087852262 + 199.3158189199*$t);
$Y2 += 0.00000003680*cos(3.97729685951 + 1589.3167127673*$t);
$Y2 += 0.00000003702*cos(2.58942752453 + 319.06881347989*$t);
$Y2 += 0.00000004832*cos(5.97662492227 + 215.0273856298*$t);
$Y2 += 0.00000003474*cos(5.88640441483 + 103.3365917021*$t);
$Y2 += 0.00000003298*cos(4.81858024415 + 544.1618765797*$t);
$Y2 += 0.00000004521*cos(1.64991198460 + 108.2173985967*$t);
$Y2 += 0.00000003967*cos(4.24856395374 + 944.7390057923*$t);
$Y2 += 0.00000004059*cos(1.44024718167 + 149.8070146181*$t);
$Y2 += 0.00000004009*cos(4.04772901629 + 533.1161763158*$t);
$Y2 += 0.00000003288*cos(3.02037527521 + 407.9344936969*$t);
$Y2 += 0.00000003976*cos(3.43142225420 + 526.7533888404*$t);
$Y2 += 0.00000003343*cos(5.37024544109 + 531.4192552864*$t);
$Y2 += 0.00000003932*cos(5.23324378146 + 91.54262404029*$t);
$Y2 += 0.00000003478*cos(4.62796796973 + 6.1817083167*$t);
$Y2 += 0.00000002967*cos(5.75717546362 + 860.55374623631*$t);
$Y2 += 0.00000003058*cos(1.59562573237 + 342.9747551161*$t);
$Y2 += 0.00000003974*cos(3.61989902199 + 335.8612081153*$t);
$Y2 += 0.00000002849*cos(2.43690877786 + 666.4801717735*$t);
$Y2 += 0.00000002999*cos(2.84954389869 + 937.62545879149*$t);
$Y2 += 0.00000003008*cos(0.45545092573 + 74.53778108379*$t);
$Y2 += 0.00000003080*cos(4.61982032828 + 129.6756596781*$t);
$Y2 += 0.00000003346*cos(3.07224007183 + 1162.7185218913*$t);
$Y2 += 0.00000002625*cos(3.26539092131 + 273.8222308413*$t);
$Y2 += 0.00000002931*cos(3.14888688193 + 235.68919520349*$t);
$Y2 += 0.00000002579*cos(5.19712816213 + 1073.85284167431*$t);
$Y2 += 0.00000002550*cos(1.43127384605 + 26.58288545949*$t);
$Y2 += 0.00000002542*cos(2.65218049337 + 1265.81129610991*$t);
$Y2 += 0.00000002483*cos(3.30358671055 + 453.1810763355*$t);
$Y2 += 0.00000002732*cos(3.33706438099 + 563.38739755489*$t);
$Y2 += 0.00000002508*cos(0.10584642422 + 37.8555882595*$t);
$Y2 += 0.00000002508*cos(5.05315792539 + 425.35753565121*$t);
$Y2 += 0.00000002680*cos(1.03370719327 + 454.6655490438*$t);
$Y2 += 0.00000002511*cos(1.57939297348 + 209.6107596584*$t);
$Y2 += 0.00000002512*cos(0.17397391459 + 217.4750661846*$t);
$Y2 += 0.00000002552*cos(4.09952672426 + 79.47883417571*$t);
$Y2 += 0.00000002457*cos(1.09953412303 + 38.89811798311*$t);
$Y2 += 0.00000002343*cos(3.50679449028 + 981.3875687218*$t);
$Y2 += 0.00000002501*cos(3.24491806395 + 669.4009330803*$t);
$Y2 += 0.00000002330*cos(2.37985529884 + 38.32866901151*$t);
$Y2 += 0.00000002327*cos(5.10713891298 + 38.4250372311*$t);
$Y2 += 0.00000002481*cos(0.85514029866 + 655.1738390787*$t);
$Y2 += 0.00000002569*cos(2.65544269508 + 464.97504399731*$t);
return $Y2*$t*$t;
}
function Neptune_Y3($t) // 37 terms of order 3
{
$Y3 = 0.00000985355*cos(5.40479271994 + 38.3768531213*$t);
$Y3 += 0.00000482798*cos(2.40351592403 + 37.88921815429*$t);
$Y3 += 0.00000416447*cos(5.08276459732 + 0.2438174835*$t);
$Y3 += 0.00000303825*cos(5.25036318156 + 39.86132582961*$t);
$Y3 += 0.00000089203*cos(6.23576998030 + 36.892380413*$t);
$Y3 += 0.00000070862*cos(4.26820111330 + 76.50988875911*$t);
$Y3 += 0.00000028900*cos(4.07922314280 + 41.3457985379*$t);
$Y3 += 0.00000022279*cos(1.38807052555 + 206.42936592071*$t);
$Y3 += 0.00000021480*cos(0.30279640762 + 220.6564599223*$t);
$Y3 += 0.00000016157*cos(4.26502283154 + 522.8212355773*$t);
$Y3 += 0.00000015714*cos(3.19639937559 + 537.0483295789*$t);
$Y3 += 0.00000011404*cos(0.68881522230 + 35.40790770471*$t);
$Y3 += 0.00000013199*cos(4.77296321336 + 7.3573644843*$t);
$Y3 += 0.00000007024*cos(5.41129077346 + 3.21276290011*$t);
$Y3 += 0.00000006772*cos(5.90918041474 + 69.3963417583*$t);
$Y3 += 0.00000004517*cos(1.71813394760 + 45.49040012211*$t);
$Y3 += 0.00000004523*cos(2.61625996387 + 31.2633061205*$t);
$Y3 += 0.00000003682*cos(3.04341607939 + 98.6561710411*$t);
$Y3 += 0.00000003656*cos(2.17226292493 + 968.64494742849*$t);
$Y3 += 0.00000003927*cos(5.25979459691 + 426.8420083595*$t);
$Y3 += 0.00000003199*cos(3.24406648940 + 1519.6765535255*$t);
$Y3 += 0.00000003498*cos(4.84556329465 + 407.9344936969*$t);
$Y3 += 0.00000003304*cos(3.81825313228 + 422.1615876985*$t);
$Y3 += 0.00000003331*cos(3.54124873059 + 36.404745446*$t);
$Y3 += 0.00000003244*cos(4.42247914038 + 484.2005649725*$t);
$Y3 += 0.00000002689*cos(5.61171743826 + 441.06910236111*$t);
$Y3 += 0.00000003247*cos(3.33592493083 + 498.42765897409*$t);
$Y3 += 0.00000002651*cos(2.02749548795 + 304.84171947829*$t);
$Y3 += 0.00000002645*cos(0.90433895865 + 461.77909604459*$t);
$Y3 += 0.00000002542*cos(1.05108120438 + 444.5830566264*$t);
$Y3 += 0.00000002524*cos(5.46978523129 + 433.9555553603*$t);
$Y3 += 0.00000002472*cos(0.92177286185 + 319.06881347989*$t);
$Y3 += 0.00000002355*cos(2.03272387563 + 447.552002043*$t);
$Y3 += 0.00000002876*cos(3.65433810175 + 853.4401992355*$t);
$Y3 += 0.00000002279*cos(6.20789133449 + 458.810150628*$t);
$Y3 += 0.00000002147*cos(1.06531556689 + 175.40987728371*$t);
$Y3 += 0.00000002637*cos(2.06613866653 + 73.5409433425*$t);
return $Y3*$t*$t*$t;
}
function Neptune_Y4($t) // 14 terms of order 4
{
$Y4 = 0.00003455306*cos(2.04385259535 + 38.3768531213*$t);
$Y4 += 0.00000047405*cos(0.64311364094 + 0.2438174835*$t);
$Y4 += 0.00000021936*cos(4.30052120876 + 37.88921815429*$t);
$Y4 += 0.00000015596*cos(0.30774488881 + 76.50988875911*$t);
$Y4 += 0.00000017186*cos(3.96705739007 + 39.86132582961*$t);
$Y4 += 0.00000017459*cos(3.25820107685 + 36.892380413*$t);
$Y4 += 0.00000004229*cos(6.14484758916 + 515.70768857651*$t);
$Y4 += 0.00000004334*cos(3.84568484898 + 433.9555553603*$t);
$Y4 += 0.00000003547*cos(1.04322259069 + 989.98558843089*$t);
$Y4 += 0.00000003155*cos(0.14083942013 + 467.40817033709*$t);
$Y4 += 0.00000003017*cos(4.77718347184 + 227.77000692311*$t);
$Y4 += 0.00000002981*cos(5.01159762849 + 1.7282901918*$t);
$Y4 += 0.00000002295*cos(4.84988240730 + 220.6564599223*$t);
$Y4 += 0.00000002296*cos(3.13566627364 + 206.42936592071*$t);
return $Y4*$t*$t*$t*$t;
}
function Neptune_Y5($t) // 1 term of order 5
{
$Y5 = 0.00000026291*cos(2.14645097520 + 38.3768531213*$t);
return $Y5*$t*$t*$t*$t*$t;
}
function Neptune_Z0($t) // 133 terms of order 0
{
$Z0 = 0.92866054405*cos(1.44103930278 + 38.1330356378*$t);
$Z0 += 0.01245978462;
$Z0 += 0.00474333567*cos(2.52218774238 + 36.6485629295*$t);
$Z0 += 0.00451987936*cos(3.50949720541 + 39.6175083461*$t);
$Z0 += 0.00417558068*cos(5.91310695421 + 76.2660712756*$t);
$Z0 += 0.00084104329*cos(4.38928900096 + 1.4844727083*$t);
$Z0 += 0.00032704958*cos(1.52048692001 + 74.7815985673*$t);
$Z0 += 0.00030873335*cos(3.29017611456 + 35.1640902212*$t);
$Z0 += 0.00025812584*cos(3.19303128782 + 2.9689454166*$t);
$Z0 += 0.00016865319*cos(2.13251104425 + 41.1019810544*$t);
$Z0 += 0.00011789909*cos(3.60001877675 + 213.299095438*$t);
$Z0 += 0.00009770125*cos(2.80133971586 + 73.297125859*$t);
$Z0 += 0.00011279680*cos(3.55816676334 + 529.6909650946*$t);
$Z0 += 0.00004119873*cos(1.67934316836 + 77.7505439839*$t);
$Z0 += 0.00002818034*cos(4.10661077794 + 114.3991069134*$t);
$Z0 += 0.00002868677*cos(4.27011526203 + 33.6796175129*$t);
$Z0 += 0.00002213464*cos(1.96045135168 + 4.4534181249*$t);
$Z0 += 0.00001865650*cos(5.05540709577 + 71.8126531507*$t);
$Z0 += 0.00000840177*cos(0.94268885160 + 42.5864537627*$t);
$Z0 += 0.00000457516*cos(5.71650412080 + 108.4612160802*$t);
$Z0 += 0.00000530252*cos(0.85800267793 + 111.4301614968*$t);
$Z0 += 0.00000490859*cos(6.07827301209 + 112.9146342051*$t);
$Z0 += 0.00000331254*cos(0.29304964526 + 70.3281804424*$t);
$Z0 += 0.00000330045*cos(2.83839676215 + 426.598190876*$t);
$Z0 += 0.00000273589*cos(3.91013681794 + 1059.3819301892*$t);
$Z0 += 0.00000277586*cos(1.45092010545 + 148.0787244263*$t);
$Z0 += 0.00000274474*cos(5.42657022437 + 32.1951448046*$t);
$Z0 += 0.00000205306*cos(0.75818737085 + 5.9378908332*$t);
$Z0 += 0.00000173516*cos(5.85498030099 + 145.1097790097*$t);
$Z0 += 0.00000141275*cos(1.73147597657 + 28.5718080822*$t);
$Z0 += 0.00000139093*cos(1.67466701191 + 184.7272873558*$t);
$Z0 += 0.00000143647*cos(2.51620047812 + 37.611770776*$t);
$Z0 += 0.00000136955*cos(0.20339778664 + 79.2350166922*$t);
$Z0 += 0.00000126296*cos(4.40661385040 + 37.1698277913*$t);
$Z0 += 0.00000120906*cos(1.61767636602 + 39.0962434843*$t);
$Z0 += 0.00000111761*cos(6.20948230785 + 98.8999885246*$t);
$Z0 += 0.00000140758*cos(3.50944989694 + 38.6543004996*$t);
$Z0 += 0.00000111589*cos(4.18561395578 + 47.6942631934*$t);
$Z0 += 0.00000133509*cos(4.78977105547 + 38.084851528*$t);
$Z0 += 0.00000102622*cos(0.81673762159 + 4.192785694*$t);
$Z0 += 0.00000133292*cos(1.23386935925 + 38.1812197476*$t);
$Z0 += 0.00000098771*cos(0.72335005782 + 106.9767433719*$t);
$Z0 += 0.00000093919*cos(0.56607810948 + 206.1855484372*$t);
$Z0 += 0.00000081727*cos(3.47861315258 + 220.4126424388*$t);
$Z0 += 0.00000074559*cos(2.31518880439 + 312.1990839626*$t);
$Z0 += 0.00000074401*cos(5.99935727164 + 181.7583419392*$t);
$Z0 += 0.00000073141*cos(1.80069951634 + 137.0330241624*$t);
$Z0 += 0.00000066838*cos(1.87185330904 + 221.3758502853*$t);
$Z0 += 0.00000058303*cos(5.61662561548 + 35.685355083*$t);
$Z0 += 0.00000051685*cos(6.02831347649 + 44.070926471*$t);
$Z0 += 0.00000051928*cos(0.40473854286 + 40.5807161926*$t);
$Z0 += 0.00000048182*cos(2.97141991737 + 37.8724032069*$t);
$Z0 += 0.00000049439*cos(1.66178905717 + 68.8437077341*$t);
$Z0 += 0.00000047742*cos(3.05261105371 + 38.3936680687*$t);
$Z0 += 0.00000046428*cos(2.66596739242 + 146.594251718*$t);
$Z0 += 0.00000050936*cos(0.19994012329 + 30.0562807905*$t);
$Z0 += 0.00000041127*cos(6.05239303825 + 115.8835796217*$t);
$Z0 += 0.00000055537*cos(2.11977296055 + 109.9456887885*$t);
$Z0 += 0.00000041357*cos(0.86667380713 + 143.6253063014*$t);
$Z0 += 0.00000044492*cos(6.00613878606 + 149.5631971346*$t);
$Z0 += 0.00000037856*cos(5.19945796177 + 72.0732855816*$t);
$Z0 += 0.00000047361*cos(3.58964541604 + 38.0211610532*$t);
$Z0 += 0.00000034690*cos(1.47398766326 + 8.0767548473*$t);
$Z0 += 0.00000037349*cos(5.15067903040 + 33.9402499438*$t);
$Z0 += 0.00000034386*cos(6.15246630929 + 218.4069048687*$t);
$Z0 += 0.00000047180*cos(2.43405967107 + 38.2449102224*$t);
$Z0 += 0.00000033382*cos(0.88396990078 + 42.3258213318*$t);
$Z0 += 0.00000040753*cos(3.59668759304 + 522.5774180938*$t);
$Z0 += 0.00000033071*cos(2.02572550598 + 258.0244132148*$t);
$Z0 += 0.00000038849*cos(5.79294381756 + 46.2097904851*$t);
$Z0 += 0.00000031716*cos(0.30412624027 + 536.8045120954*$t);
$Z0 += 0.00000027605*cos(2.81540405940 + 183.2428146475*$t);
$Z0 += 0.00000024616*cos(0.40597272412 + 30.7106720963*$t);
$Z0 += 0.00000021716*cos(0.90792314747 + 175.1660598002*$t);
$Z0 += 0.00000021634*cos(3.25469228647 + 388.4651552382*$t);
$Z0 += 0.00000020384*cos(5.80954414865 + 7.4223635415*$t);
$Z0 += 0.00000018640*cos(1.06424642993 + 180.2738692309*$t);
$Z0 += 0.00000016716*cos(0.02332590259 + 255.0554677982*$t);
$Z0 += 0.00000018790*cos(0.62408059806 + 35.212274331*$t);
$Z0 += 0.00000016990*cos(2.19726523790 + 294.6729761443*$t);
$Z0 += 0.00000016083*cos(4.20629091415 + 0.9632078465*$t);
$Z0 += 0.00000021571*cos(2.39337706760 + 152.5321425512*$t);
$Z0 += 0.00000017102*cos(5.39964889794 + 41.0537969446*$t);
$Z0 += 0.00000014503*cos(4.66614523797 + 110.2063212194*$t);
$Z0 += 0.00000015218*cos(2.93182248771 + 219.891377577*$t);
$Z0 += 0.00000014757*cos(2.02029526083 + 105.4922706636*$t);
$Z0 += 0.00000013303*cos(2.09362099250 + 639.897286314*$t);
$Z0 += 0.00000013582*cos(0.99222619680 + 44.7253177768*$t);
$Z0 += 0.00000011309*cos(4.15253392707 + 487.3651437628*$t);
$Z0 += 0.00000012521*cos(0.41449986025 + 186.2117600641*$t);
$Z0 += 0.00000012363*cos(3.07599476497 + 6.592282139*$t);
$Z0 += 0.00000010825*cos(4.13817476053 + 0.5212648618*$t);
$Z0 += 0.00000014304*cos(5.15644933777 + 31.5407534988*$t);
$Z0 += 0.00000010056*cos(4.27077049743 + 1589.0728952838*$t);
$Z0 += 0.00000009355*cos(1.23360360711 + 216.9224321604*$t);
$Z0 += 0.00000008774*cos(5.77195684843 + 12.5301729722*$t);
$Z0 += 0.00000008445*cos(0.17584724644 + 291.7040307277*$t);
$Z0 += 0.00000008927*cos(2.36869187243 + 331.3215390738*$t);
$Z0 += 0.00000009613*cos(0.28151591238 + 60.7669528868*$t);
$Z0 += 0.00000008279*cos(5.72084525545 + 36.7604375141*$t);
$Z0 += 0.00000009111*cos(3.49027191661 + 45.2465826386*$t);
$Z0 += 0.00000008178*cos(0.25637861075 + 39.5056337615*$t);
$Z0 += 0.00000008598*cos(3.10287346009 + 256.5399405065*$t);
$Z0 += 0.00000009489*cos(4.94205919676 + 151.0476698429*$t);
$Z0 += 0.00000008564*cos(2.15904622462 + 274.0660483248*$t);
$Z0 += 0.00000007474*cos(2.93279436008 + 27.0873353739*$t);
$Z0 += 0.00000007944*cos(0.38277699900 + 10213.285546211*$t);
$Z0 += 0.00000007132*cos(1.50971234331 + 944.9828232758*$t);
$Z0 += 0.00000009005*cos(0.07284074730 + 419.4846438752*$t);
$Z0 += 0.00000007642*cos(5.56097006597 + 187.6962327724*$t);
$Z0 += 0.00000007705*cos(1.54152595157 + 84.3428261229*$t);
$Z0 += 0.00000006896*cos(4.71453324740 + 406.1031376411*$t);
$Z0 += 0.00000007282*cos(5.81348163927 + 316.3918696566*$t);
$Z0 += 0.00000006215*cos(5.27967153537 + 7.1135470008*$t);
$Z0 += 0.00000006090*cos(4.48506819561 + 415.2918581812*$t);
$Z0 += 0.00000006316*cos(0.59502514374 + 453.424893819*$t);
$Z0 += 0.00000006177*cos(5.20115334051 + 80.7194894005*$t);
$Z0 += 0.00000006324*cos(2.18406254461 + 142.1408335931*$t);
$Z0 += 0.00000005646*cos(0.76840537906 + 11.0457002639*$t);
$Z0 += 0.00000006102*cos(5.58764378724 + 662.531203563*$t);
$Z0 += 0.00000005334*cos(4.52703538458 + 103.0927742186*$t);
$Z0 += 0.00000006269*cos(1.95162790177 + 605.9570363702*$t);
$Z0 += 0.00000005591*cos(5.20631788297 + 14.0146456805*$t);
$Z0 += 0.00000004914*cos(1.39906038110 + 253.5709950899*$t);
$Z0 += 0.00000004519*cos(2.07610590431 + 2042.4977891028*$t);
$Z0 += 0.00000005681*cos(4.80791039970 + 641.1211265914*$t);
$Z0 += 0.00000006294*cos(0.56936923702 + 31.019488637*$t);
$Z0 += 0.00000004758*cos(2.54312258712 + 367.9701020033*$t);
$Z0 += 0.00000004406*cos(0.33696669222 + 328.3525936572*$t);
$Z0 += 0.00000004390*cos(5.08949604858 + 286.596221297*$t);
$Z0 += 0.00000004678*cos(4.87546696295 + 442.7517005706*$t);
$Z0 += 0.00000004407*cos(5.58110402011 + 252.0865223816*$t);
$Z0 += 0.00000004305*cos(1.31724140028 + 493.0424021651*$t);
return $Z0;
}
function Neptune_Z1($t) // 61 terms of order 1
{
$Z1 = 0.06832633707*cos(3.80782656293 + 38.1330356378*$t);
$Z1 -= 0.00064598028;
$Z1 += 0.00042738331*cos(4.82540335637 + 36.6485629295*$t);
$Z1 += 0.00031421638*cos(6.08083255385 + 39.6175083461*$t);
$Z1 += 0.00027088623*cos(1.97557659098 + 76.2660712756*$t);
$Z1 += 0.00005924197*cos(0.48500737803 + 1.4844727083*$t);
$Z1 += 0.00002429056*cos(3.86784381378 + 74.7815985673*$t);
$Z1 += 0.00002107258*cos(6.19720726581 + 35.1640902212*$t);
$Z1 += 0.00001644542*cos(5.76041185818 + 2.9689454166*$t);
$Z1 += 0.00001059588*cos(4.89687990866 + 41.1019810544*$t);
$Z1 += 0.00001084464*cos(5.33722455731 + 213.299095438*$t);
$Z1 += 0.00000880611*cos(5.70150456912 + 529.6909650946*$t);
$Z1 += 0.00000824125*cos(5.04137560987 + 73.297125859*$t);
$Z1 += 0.00000250821*cos(4.25953295692 + 77.7505439839*$t);
$Z1 += 0.00000158517*cos(0.13500997625 + 114.3991069134*$t);
$Z1 += 0.00000129390*cos(4.76999039957 + 4.4534181249*$t);
$Z1 += 0.00000105033*cos(0.99234583035 + 33.6796175129*$t);
$Z1 += 0.00000054734*cos(3.96812588022 + 42.5864537627*$t);
$Z1 += 0.00000034799*cos(4.30403521625 + 37.611770776*$t);
$Z1 += 0.00000041340*cos(2.29314729799 + 206.1855484372*$t);
$Z1 += 0.00000028374*cos(1.67853213747 + 111.4301614968*$t);
$Z1 += 0.00000025340*cos(1.70015942799 + 220.4126424388*$t);
$Z1 += 0.00000026021*cos(6.09040669128 + 426.598190876*$t);
$Z1 += 0.00000027198*cos(5.95188476775 + 71.8126531507*$t);
$Z1 += 0.00000021598*cos(2.17619854748 + 112.9146342051*$t);
$Z1 += 0.00000025154*cos(4.13631230281 + 28.5718080822*$t);
$Z1 += 0.00000020543*cos(1.56946393801 + 38.6543004996*$t);
$Z1 += 0.00000017216*cos(2.81703507859 + 98.8999885246*$t);
$Z1 += 0.00000019926*cos(3.15301554161 + 108.4612160802*$t);
$Z1 += 0.00000015544*cos(2.07364839388 + 40.5807161926*$t);
$Z1 += 0.00000015357*cos(5.45891321516 + 522.5774180938*$t);
$Z1 += 0.00000012266*cos(3.82427247378 + 5.9378908332*$t);
$Z1 += 0.00000013587*cos(1.34795861192 + 47.6942631934*$t);
$Z1 += 0.00000010839*cos(4.75461825384 + 536.8045120954*$t);
$Z1 += 0.00000010785*cos(2.61566414257 + 79.2350166922*$t);
$Z1 += 0.00000010916*cos(3.88744647444 + 35.685355083*$t);
$Z1 += 0.00000009833*cos(3.62341506247 + 38.1812197476*$t);
$Z1 += 0.00000009849*cos(0.89613145346 + 38.084851528*$t);
$Z1 += 0.00000009317*cos(0.51297445145 + 37.1698277913*$t);
$Z1 += 0.00000008955*cos(4.00532631258 + 39.0962434843*$t);
$Z1 += 0.00000007089*cos(2.29610703652 + 137.0330241624*$t);
$Z1 += 0.00000007573*cos(3.20619266484 + 4.192785694*$t);
$Z1 += 0.00000008063*cos(5.86511590361 + 1059.3819301892*$t);
$Z1 += 0.00000007655*cos(3.39616255650 + 145.1097790097*$t);
$Z1 += 0.00000006061*cos(2.31235275416 + 109.9456887885*$t);
$Z1 += 0.00000005726*cos(6.23400745185 + 312.1990839626*$t);
$Z1 += 0.00000003739*cos(2.50010254963 + 30.0562807905*$t);
$Z1 += 0.00000004145*cos(2.00938305966 + 44.070926471*$t);
$Z1 += 0.00000003480*cos(5.88971113590 + 38.0211610532*$t);
$Z1 += 0.00000003467*cos(4.73412534395 + 38.2449102224*$t);
$Z1 += 0.00000004736*cos(6.28313624461 + 149.5631971346*$t);
$Z1 += 0.00000003905*cos(4.49400805134 + 106.9767433719*$t);
$Z1 += 0.00000002982*cos(1.80386443362 + 46.2097904851*$t);
$Z1 += 0.00000003538*cos(5.27114846878 + 37.8724032069*$t);
$Z1 += 0.00000003508*cos(5.35267669439 + 38.3936680687*$t);
$Z1 += 0.00000002821*cos(1.10242173566 + 33.9402499438*$t);
$Z1 += 0.00000003150*cos(2.14792830412 + 115.8835796217*$t);
$Z1 += 0.00000003329*cos(3.56226463770 + 181.7583419392*$t);
$Z1 += 0.00000002787*cos(1.21334651843 + 72.0732855816*$t);
$Z1 += 0.00000002453*cos(3.18401661435 + 42.3258213318*$t);
$Z1 += 0.00000002523*cos(5.51669920239 + 8.0767548473*$t);
return $Z1*$t;
}
function Neptune_Z2($t) // 20 terms of order 2
{
$Z2 = 0.00291361164*cos(5.57085222635 + 38.1330356378*$t);
$Z2 += 0.00002207820*cos(0.45423510946 + 36.6485629295*$t);
$Z2 -= 0.00002644401;
$Z2 += 0.00001184984*cos(3.62696666572 + 76.2660712756*$t);
$Z2 += 0.00000875873*cos(1.60783110298 + 39.6175083461*$t);
$Z2 += 0.00000253280*cos(2.25499665308 + 1.4844727083*$t);
$Z2 += 0.00000139875*cos(1.66224942942 + 35.1640902212*$t);
$Z2 += 0.00000105837*cos(5.61746558118 + 74.7815985673*$t);
$Z2 += 0.00000055479*cos(0.51417309302 + 213.299095438*$t);
$Z2 += 0.00000051858*cos(1.20450519900 + 2.9689454166*$t);
$Z2 += 0.00000040183*cos(1.45604293605 + 529.6909650946*$t);
$Z2 += 0.00000041153*cos(0.64158589676 + 73.297125859*$t);
$Z2 += 0.00000013931*cos(0.27428875486 + 41.1019810544*$t);
$Z2 += 0.00000009181*cos(2.83312722213 + 33.6796175129*$t);
$Z2 += 0.00000007421*cos(4.32019600438 + 206.1855484372*$t);
$Z2 += 0.00000006998*cos(5.87666052849 + 77.7505439839*$t);
$Z2 += 0.00000007085*cos(1.66037085233 + 71.8126531507*$t);
$Z2 += 0.00000006818*cos(1.56386946094 + 114.3991069134*$t);
$Z2 += 0.00000004838*cos(0.83470875824 + 220.4126424388*$t);
$Z2 += 0.00000002545*cos(0.43712705655 + 4.4534181249*$t);
return $Z2*$t*$t;
}
function Neptune_Z3($t) // 8 terms of order 3
{
$Z3 = 0.00008221290*cos(1.01632472042 + 38.1330356378*$t);
$Z3 += 0.00000103933;
$Z3 += 0.00000070154*cos(2.36502685986 + 36.6485629295*$t);
$Z3 += 0.00000031617*cos(5.35266161292 + 76.2660712756*$t);
$Z3 += 0.00000015470*cos(3.21170859085 + 39.6175083461*$t);
$Z3 += 0.00000007111*cos(3.99067059016 + 1.4844727083*$t);
$Z3 += 0.00000004656*cos(3.62376309338 + 35.1640902212*$t);
$Z3 += 0.00000002988*cos(1.03727330540 + 74.7815985673*$t);
return $Z3*$t*$t*$t;
}
function Neptune_Z4($t) // 1 term of order 4
{
$Z4 = 0.00000172227*cos(2.66872693322 + 38.1330356378*$t);
return $Z4*$t*$t*$t*$t;
}
function Neptune_Z5($t) // 1 term of order 5
{
$Z5 = 0.00000003394*cos(4.70646877989 + 38.1330356378*$t);
return $Z5*$t*$t*$t*$t*$t;
}
?>