#include "erfa.h" int eraEpv00(double date1, double date2, double pvh[2][3], double pvb[2][3]) /* ** - - - - - - - - - ** e r a E p v 0 0 ** - - - - - - - - - ** ** Earth position and velocity, heliocentric and barycentric, with ** respect to the Barycentric Celestial Reference System. ** ** Given: ** date1,date2 double TDB date (Note 1) ** ** Returned: ** pvh double[2][3] heliocentric Earth position/velocity ** pvb double[2][3] barycentric Earth position/velocity ** ** Returned (function value): ** int status: 0 = OK ** +1 = warning: date outside ** the range 1900-2100 AD ** ** Notes: ** ** 1) The TDB date date1+date2 is a Julian Date, apportioned in any ** convenient way between the two arguments. For example, ** JD(TDB)=2450123.7 could be expressed in any of these ways, among ** others: ** ** date1 date2 ** ** 2450123.7 0.0 (JD method) ** 2451545.0 -1421.3 (J2000 method) ** 2400000.5 50123.2 (MJD method) ** 2450123.5 0.2 (date & time method) ** ** The JD method is the most natural and convenient to use in cases ** where the loss of several decimal digits of resolution is ** acceptable. The J2000 method is best matched to the way the ** argument is handled internally and will deliver the optimum ** resolution. The MJD method and the date & time methods are both ** good compromises between resolution and convenience. However, ** the accuracy of the result is more likely to be limited by the ** algorithm itself than the way the date has been expressed. ** ** n.b. TT can be used instead of TDB in most applications. ** ** 2) On return, the arrays pvh and pvb contain the following: ** ** pvh[0][0] x } ** pvh[0][1] y } heliocentric position, AU ** pvh[0][2] z } ** ** pvh[1][0] xdot } ** pvh[1][1] ydot } heliocentric velocity, AU/d ** pvh[1][2] zdot } ** ** pvb[0][0] x } ** pvb[0][1] y } barycentric position, AU ** pvb[0][2] z } ** ** pvb[1][0] xdot } ** pvb[1][1] ydot } barycentric velocity, AU/d ** pvb[1][2] zdot } ** ** The vectors are with respect to the Barycentric Celestial ** Reference System. The time unit is one day in TDB. ** ** 3) The function is a SIMPLIFIED SOLUTION from the planetary theory ** VSOP2000 (X. Moisson, P. Bretagnon, 2001, Celes. Mechanics & ** Dyn. Astron., 80, 3/4, 205-213) and is an adaptation of original ** Fortran code supplied by P. Bretagnon (private comm., 2000). ** ** 4) Comparisons over the time span 1900-2100 with this simplified ** solution and the JPL DE405 ephemeris give the following results: ** ** RMS max ** Heliocentric: ** position error 3.7 11.2 km ** velocity error 1.4 5.0 mm/s ** ** Barycentric: ** position error 4.6 13.4 km ** velocity error 1.4 4.9 mm/s ** ** Comparisons with the JPL DE406 ephemeris show that by 1800 and ** 2200 the position errors are approximately double their 1900-2100 ** size. By 1500 and 2500 the deterioration is a factor of 10 and ** by 1000 and 3000 a factor of 60. The velocity accuracy falls off ** at about half that rate. ** ** 5) It is permissible to use the same array for pvh and pvb, which ** will receive the barycentric values. ** ** Copyright (C) 2013-2015, NumFOCUS Foundation. ** Derived, with permission, from the SOFA library. See notes at end of file. */ { /* ** Matrix elements for orienting the analytical model to DE405. ** ** The corresponding Euler angles are: ** ** d ' " ** 1st rotation - 23 26 21.4091 about the x-axis (obliquity) ** 2nd rotation + 0.0475 about the z-axis (RA offset) ** ** These were obtained empirically, by comparisons with DE405 over ** 1900-2100. */ static const double am12 = 0.000000211284, am13 = -0.000000091603, am21 = -0.000000230286, am22 = 0.917482137087, am23 = -0.397776982902, am32 = 0.397776982902, am33 = 0.917482137087; /* ** ---------------------- ** Ephemeris Coefficients ** ---------------------- ** ** The ephemeris consists of harmonic terms for predicting (i) the Sun ** to Earth vector and (ii) the Solar-System-barycenter to Sun vector ** respectively. The coefficients are stored in arrays which, although ** 1-demensional, contain groups of three. Each triplet of ** coefficients is the amplitude, phase and frequency for one term in ** the model, and each array contains the number of terms called for by ** the model. ** ** There are eighteen such arrays, named as follows: ** ** array model power of T component ** ** e0x Sun-to-Earth 0 x ** e0y Sun-to-Earth 0 y ** e0z Sun-to-Earth 0 z ** ** e1x Sun-to-Earth 1 x ** e1y Sun-to-Earth 1 y ** e1z Sun-to-Earth 1 z ** ** e2x Sun-to-Earth 2 x ** e2y Sun-to-Earth 2 y ** e2z Sun-to-Earth 2 z ** ** s0x SSB-to-Sun 0 x ** s0y SSB-to-Sun 0 y ** s0z SSB-to-Sun 0 z ** ** s1x SSB-to-Sun 1 x ** s1y SSB-to-Sun 1 y ** s1z SSB-to-Sun 1 z ** ** s2x SSB-to-Sun 2 x ** s2y SSB-to-Sun 2 y ** s2z SSB-to-Sun 2 z */ /* Sun-to-Earth, T^0, X */ static const double e0x[] = { 0.9998292878132e+00, 0.1753485171504e+01, 0.6283075850446e+01, 0.8352579567414e-02, 0.1710344404582e+01, 0.1256615170089e+02, 0.5611445335148e-02, 0.0000000000000e+00, 0.0000000000000e+00, 0.1046664295572e-03, 0.1667225416770e+01, 0.1884922755134e+02, 0.3110842534677e-04, 0.6687513390251e+00, 0.8399684731857e+02, 0.2552413503550e-04, 0.5830637358413e+00, 0.5296909721118e+00, 0.2137207845781e-04, 0.1092330954011e+01, 0.1577343543434e+01, 0.1680240182951e-04, 0.4955366134987e+00, 0.6279552690824e+01, 0.1679012370795e-04, 0.6153014091901e+01, 0.6286599010068e+01, 0.1445526946777e-04, 0.3472744100492e+01, 0.2352866153506e+01, 0.1091038246184e-04, 0.3689845786119e+01, 0.5223693906222e+01, 0.9344399733932e-05, 0.6073934645672e+01, 0.1203646072878e+02, 0.8993182910652e-05, 0.3175705249069e+01, 0.1021328554739e+02, 0.5665546034116e-05, 0.2152484672246e+01, 0.1059381944224e+01, 0.6844146703035e-05, 0.1306964099750e+01, 0.5753384878334e+01, 0.7346610905565e-05, 0.4354980070466e+01, 0.3981490189893e+00, 0.6815396474414e-05, 0.2218229211267e+01, 0.4705732307012e+01, 0.6112787253053e-05, 0.5384788425458e+01, 0.6812766822558e+01, 0.4518120711239e-05, 0.6087604012291e+01, 0.5884926831456e+01, 0.4521963430706e-05, 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0.7130726476180e-07, 0.7674871987661e+00, 0.6321103546637e+01, 0.6650894461162e-07, 0.6987129150116e+00, 0.5327476111629e+01, 0.7396888823688e-07, 0.3576824794443e+01, 0.5368044267797e+00, 0.7420588884775e-07, 0.5033615245369e+01, 0.2354323048545e+02, 0.6141181642908e-07, 0.9449927045673e+00, 0.1296430071988e+02, 0.6373557924058e-07, 0.6206342280341e+01, 0.9517183207817e+00, 0.6359474329261e-07, 0.5036079095757e+01, 0.1990745094947e+01, 0.5740173582646e-07, 0.6105106371350e+01, 0.9555997388169e+00, 0.7019864084602e-07, 0.7237747359018e+00, 0.5225775174439e+00, 0.6398054487042e-07, 0.3976367969666e+01, 0.2407292145756e+02, 0.7797092650498e-07, 0.4305423910623e+01, 0.2200391463820e+02, 0.6466760000900e-07, 0.3500136825200e+01, 0.5230807360890e+01, 0.7529417043890e-07, 0.3514779246100e+01, 0.1842262939178e+02, 0.6924571140892e-07, 0.2743457928679e+01, 0.1554202828031e+00, 0.6220798650222e-07, 0.2242598118209e+01, 0.1845107853235e+02, 0.5870209391853e-07, 0.2332832707527e+01, 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0.4284440620612e+01, 0.3932462625300e-02, 0.3514440950221e-08, 0.4270562636575e+01, 0.7335344340001e+01, 0.3540596871909e-08, 0.5953553201060e+01, 0.1234573916645e+02, 0.2960769905118e-08, 0.1115180417718e+01, 0.2670964694522e+02, 0.2962213739684e-08, 0.3863811918186e+01, 0.6408777551755e+00, 0.3883556700251e-08, 0.1268617928302e+01, 0.6660449441528e+01, 0.2919225516346e-08, 0.4908605223265e+01, 0.1375773836557e+01, 0.3115158863370e-08, 0.3744519976885e+01, 0.3802769619140e-01, 0.4099438144212e-08, 0.4173244670532e+01, 0.4480965020977e+02, 0.2899531858964e-08, 0.5910601428850e+01, 0.2059724391010e+02, 0.3289733429855e-08, 0.2488050078239e+01, 0.1081813534213e+02, 0.3933075612875e-08, 0.1122363652883e+01, 0.3773735910827e+00, 0.3021403764467e-08, 0.4951973724904e+01, 0.2982630633589e+02, 0.2798598949757e-08, 0.5117057845513e+01, 0.1937891852345e+02, 0.3397421302707e-08, 0.6104159180476e+01, 0.6923953605621e+01, 0.3720398002179e-08, 0.1184933429829e+01, 0.3066615496545e+02, 0.3598484186267e-08, 0.3505282086105e+01, 0.6147450479709e+01, 0.3694594027310e-08, 0.2286651088141e+01, 0.2636725487657e+01, 0.2680444152969e-08, 0.1871816775482e+00, 0.6816289982179e+01, 0.3497574865641e-08, 0.3143251755431e+01, 0.6418701221183e+01, 0.3130274129494e-08, 0.2462167316018e+01, 0.1235996607578e+02, 0.3241119069551e-08, 0.4256374004686e+01, 0.1652265972112e+02, 0.2601960842061e-08, 0.4970362941425e+01, 0.1045450126711e+02, 0.2690601527504e-08, 0.2372657824898e+01, 0.3163918923335e+00, 0.2908688152664e-08, 0.4232652627721e+01, 0.2828699048865e+02, 0.3120456131875e-08, 0.3925747001137e+00, 0.2195415756911e+02, 0.3148855423384e-08, 0.3093478330445e+01, 0.1172006883645e+02, 0.3051044261017e-08, 0.5560948248212e+01, 0.6055599646783e+01, 0.2826006876660e-08, 0.5072790310072e+01, 0.5120601093667e+01, 0.3100034191711e-08, 0.4998530231096e+01, 0.1799603123222e+02, 0.2398771640101e-08, 0.2561739802176e+01, 0.6255674361143e+01, 0.2384002842728e-08, 0.4087420284111e+01, 0.6310477339748e+01, 0.2842146517568e-08, 0.2515048217955e+01, 0.5469525544182e+01, 0.2847674371340e-08, 0.5235326497443e+01, 0.1034429499989e+02, 0.2903722140764e-08, 0.1088200795797e+01, 0.6510552054109e+01, 0.3187610710605e-08, 0.4710624424816e+01, 0.1693792562116e+03, 0.3048869992813e-08, 0.2857975896445e+00, 0.8390110365991e+01, 0.2860216950984e-08, 0.2241619020815e+01, 0.2243449970715e+00, 0.2701117683113e-08, 0.6651573305272e-01, 0.6129297044991e+01, 0.2509891590152e-08, 0.1285135324585e+01, 0.1044027435778e+02, 0.2623200252223e-08, 0.2981229834530e+00, 0.6436854655901e+01, 0.2622541669202e-08, 0.6122470726189e+01, 0.9380959548977e+01, 0.2818435667099e-08, 0.4251087148947e+01, 0.5934151399930e+01, 0.2365196797465e-08, 0.3465070460790e+01, 0.2470570524223e+02, 0.2358704646143e-08, 0.5791603815350e+01, 0.8671969964381e+01, 0.2388299481390e-08, 0.4142483772941e+01, 0.7096626156709e+01, 0.1996041217224e-08, 0.2101901889496e+01, 0.1727188400790e+02, 0.2687593060336e-08, 0.1526689456959e+01, 0.7075506709219e+02, 0.2618913670810e-08, 0.2397684236095e+01, 0.6632000300961e+01, 0.2571523050364e-08, 0.5751929456787e+00, 0.6206810014183e+01, 0.2582135006946e-08, 0.5595464352926e+01, 0.4873985990671e+02, 0.2372530190361e-08, 0.5092689490655e+01, 0.1590676413561e+02, 0.2357178484712e-08, 0.4444363527851e+01, 0.3097883698531e+01, 0.2451590394723e-08, 0.3108251687661e+01, 0.6612329252343e+00, 0.2370045949608e-08, 0.2608133861079e+01, 0.3459636466239e+02, 0.2268997267358e-08, 0.3639717753384e+01, 0.2844914056730e-01, 0.1731432137906e-08, 0.1741898445707e+00, 0.2019909489111e+02, 0.1629869741622e-08, 0.3902225646724e+01, 0.3035599730800e+02, 0.2206215801974e-08, 0.4971131250731e+01, 0.6281667977667e+01, 0.2205469554680e-08, 0.1677462357110e+01, 0.6284483723224e+01, 0.2148792362509e-08, 0.4236259604006e+01, 0.1980482729015e+02, 0.1873733657847e-08, 0.5926814998687e+01, 0.2876692439167e+02, 0.2026573758959e-08, 0.4349643351962e+01, 0.2449240616245e+02, 0.1807770325110e-08, 0.5700940482701e+01, 0.2045286941806e+02, 0.1881174408581e-08, 0.6601286363430e+00, 0.2358125818164e+02, 0.1368023671690e-08, 0.2211098592752e+01, 0.2473415438279e+02, 0.1720017916280e-08, 0.4942488551129e+01, 0.1679593901136e+03, 0.1702427665131e-08, 0.1452233856386e+01, 0.3338575901272e+03, 0.1414032510054e-08, 0.5525357721439e+01, 0.1624205518357e+03, 0.1652626045364e-08, 0.4108794283624e+01, 0.8956999012000e+02, 0.1642957769686e-08, 0.7344335209984e+00, 0.5267006960365e+02, 0.1614952403624e-08, 0.3541213951363e+01, 0.3332657872986e+02, 0.1535988291188e-08, 0.4031094072151e+01, 0.3852657435933e+02, 0.1593193738177e-08, 0.4185136203609e+01, 0.2282781046519e+03, 0.1074569126382e-08, 0.1720485636868e+01, 0.8397383534231e+02, 0.1074408214509e-08, 0.2758613420318e+01, 0.8401985929482e+02, 0.9700199670465e-09, 0.4216686842097e+01, 0.7826370942180e+02, 0.1258433517061e-08, 0.2575068876639e+00, 0.3115650189215e+03, 0.1240303229539e-08, 0.4800844956756e+00, 0.1784300471910e+03, 0.9018345948127e-09, 0.3896756361552e+00, 0.5886454391678e+02, 0.1135301432805e-08, 0.3700805023550e+00, 0.7842370451713e+02, 0.9215887951370e-09, 0.4364579276638e+01, 0.1014262087719e+03, 0.1055401054147e-08, 0.2156564222111e+01, 0.5660027930059e+02, 0.1008725979831e-08, 0.5454015785234e+01, 0.4245678405627e+02, 0.7217398104321e-09, 0.1597772562175e+01, 0.2457074661053e+03, 0.6912033134447e-09, 0.5824090621461e+01, 0.1679936946371e+03, 0.6833881523549e-09, 0.3578778482835e+01, 0.6053048899753e+02, 0.4887304205142e-09, 0.3724362812423e+01, 0.9656299901946e+02, 0.5173709754788e-09, 0.5422427507933e+01, 0.2442876000072e+03, 0.4671353097145e-09, 0.2396106924439e+01, 0.1435713242844e+03, 0.5652608439480e-09, 0.2804028838685e+01, 0.8365903305582e+02, 0.5604061331253e-09, 0.1638816006247e+01, 0.8433466158131e+02, 0.4712723365400e-09, 0.8979003224474e+00, 0.3164282286739e+03, 0.4909967465112e-09, 0.3210426725516e+01, 0.4059982187939e+03, 0.4771358267658e-09, 0.5308027211629e+01, 0.1805255418145e+03, 0.3943451445989e-09, 0.2195145341074e+01, 0.2568537517081e+03, 0.3952109120244e-09, 0.5081189491586e+01, 0.2449975330562e+03, 0.3788134594789e-09, 0.4345171264441e+01, 0.1568131045107e+03, 0.3738330190479e-09, 0.2613062847997e+01, 0.3948519331910e+03, 0.3099866678136e-09, 0.2846760817689e+01, 0.1547176098872e+03, 0.2002962716768e-09, 0.4921360989412e+01, 0.2268582385539e+03, 0.2198291338754e-09, 0.1130360117454e+00, 0.1658638954901e+03, 0.1491958330784e-09, 0.4228195232278e+01, 0.2219950288015e+03, 0.1475384076173e-09, 0.3005721811604e+00, 0.3052819430710e+03, 0.1661626624624e-09, 0.7830125621203e+00, 0.2526661704812e+03, 0.9015823460025e-10, 0.3807792942715e+01, 0.4171445043968e+03 }; /* Sun-to-Earth, T^0, Y */ static const double e0y[] = { 0.9998921098898e+00, 0.1826583913846e+00, 0.6283075850446e+01, -0.2442700893735e-01, 0.0000000000000e+00, 0.0000000000000e+00, 0.8352929742915e-02, 0.1395277998680e+00, 0.1256615170089e+02, 0.1046697300177e-03, 0.9641423109763e-01, 0.1884922755134e+02, 0.3110841876663e-04, 0.5381140401712e+01, 0.8399684731857e+02, 0.2570269094593e-04, 0.5301016407128e+01, 0.5296909721118e+00, 0.2147389623610e-04, 0.2662510869850e+01, 0.1577343543434e+01, 0.1680344384050e-04, 0.5207904119704e+01, 0.6279552690824e+01, 0.1679117312193e-04, 0.4582187486968e+01, 0.6286599010068e+01, 0.1440512068440e-04, 0.1900688517726e+01, 0.2352866153506e+01, 0.1135139664999e-04, 0.5273108538556e+01, 0.5223693906222e+01, 0.9345482571018e-05, 0.4503047687738e+01, 0.1203646072878e+02, 0.9007418719568e-05, 0.1605621059637e+01, 0.1021328554739e+02, 0.5671536712314e-05, 0.5812849070861e+00, 0.1059381944224e+01, 0.7451401861666e-05, 0.2807346794836e+01, 0.3981490189893e+00, 0.6393470057114e-05, 0.6029224133855e+01, 0.5753384878334e+01, 0.6814275881697e-05, 0.6472990145974e+00, 0.4705732307012e+01, 0.6113705628887e-05, 0.3813843419700e+01, 0.6812766822558e+01, 0.4503851367273e-05, 0.4527804370996e+01, 0.5884926831456e+01, 0.4522249141926e-05, 0.5991783029224e+01, 0.6256777527156e+01, 0.4501794307018e-05, 0.3798703844397e+01, 0.6309374173736e+01, 0.5514927480180e-05, 0.3961257833388e+01, 0.5507553240374e+01, 0.4062862799995e-05, 0.5256247296369e+01, 0.6681224869435e+01, 0.5414900429712e-05, 0.5499032014097e+01, 0.7755226100720e+00, 0.5463153987424e-05, 0.6173092454097e+01, 0.1414349524433e+02, 0.5071611859329e-05, 0.2870244247651e+01, 0.7860419393880e+01, 0.2195112094455e-05, 0.2952338617201e+01, 0.1150676975667e+02, 0.2279139233919e-05, 0.5951775132933e+01, 0.7058598460518e+01, 0.2278386100876e-05, 0.4845456398785e+01, 0.4694002934110e+01, 0.2559088003308e-05, 0.6945321117311e+00, 0.1216800268190e+02, 0.2561079286856e-05, 0.6167224608301e+01, 0.7099330490126e+00, 0.1792755796387e-05, 0.1400122509632e+01, 0.7962980379786e+00, 0.1818715656502e-05, 0.4703347611830e+01, 0.6283142985870e+01, 0.1818744924791e-05, 0.5086748900237e+01, 0.6283008715021e+01, 0.1554518791390e-05, 0.5331008042713e-01, 0.2513230340178e+02, 0.2063265737239e-05, 0.4283680484178e+01, 0.1179062909082e+02, 0.1497613520041e-05, 0.6074207826073e+01, 0.5486777812467e+01, 0.2000617940427e-05, 0.2501426281450e+01, 0.1778984560711e+02, 0.1289731195580e-05, 0.3646340599536e+01, 0.7079373888424e+01, 0.1282657998934e-05, 0.3232864804902e+01, 0.3738761453707e+01, 0.1528915968658e-05, 0.5581433416669e+01, 0.2132990797783e+00, 0.1187304098432e-05, 0.5453576453694e+01, 0.9437762937313e+01, 0.7842782928118e-06, 0.2823953922273e+00, 0.8827390247185e+01, 0.7352892280868e-06, 0.1124369580175e+01, 0.1589072916335e+01, 0.6570189360797e-06, 0.2089154042840e+01, 0.1176985366291e+02, 0.6324967590410e-06, 0.6704855581230e+00, 0.6262300422539e+01, 0.6298289872283e-06, 0.2836414855840e+01, 0.6303851278352e+01, 0.6476686465855e-06, 0.4852433866467e+00, 0.7113454667900e-02, 0.8587034651234e-06, 0.1453511005668e+01, 0.1672837615881e+03, 0.8068948788113e-06, 0.9224087798609e+00, 0.6069776770667e+01, 0.8353786011661e-06, 0.4631707184895e+01, 0.3340612434717e+01, 0.6009324532132e-06, 0.1829498827726e+01, 0.4136910472696e+01, 0.7558158559566e-06, 0.2588596800317e+01, 0.6496374930224e+01, 0.5809279504503e-06, 0.5516818853476e+00, 0.1097707878456e+02, 0.5374131950254e-06, 0.6275674734960e+01, 0.1194447056968e+01, 0.5711160507326e-06, 0.1091905956872e+01, 0.6282095334605e+01, 0.5710183170746e-06, 0.2415001635090e+01, 0.6284056366286e+01, 0.5144373590610e-06, 0.6020336443438e+01, 0.6290189305114e+01, 0.5103108927267e-06, 0.3775634564605e+01, 0.6275962395778e+01, 0.4960654697891e-06, 0.1073450946756e+01, 0.6127655567643e+01, 0.4786385689280e-06, 0.2431178012310e+01, 0.6438496133249e+01, 0.6109911263665e-06, 0.5343356157914e+01, 0.3154687086868e+01, 0.4839898944024e-06, 0.5830833594047e-01, 0.8018209333619e+00, 0.4734822623919e-06, 0.4536080134821e+01, 0.3128388763578e+01, 0.4834741473290e-06, 0.2585090489754e+00, 0.7084896783808e+01, 0.5134858581156e-06, 0.4213317172603e+01, 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0.1805255418145e+03, 0.4487562567153e-09, 0.1158417054478e+00, 0.8433466158131e+02, 0.3943441230497e-09, 0.6243502862796e+00, 0.2568537517081e+03, 0.3952236913598e-09, 0.3510377382385e+01, 0.2449975330562e+03, 0.3788898363417e-09, 0.5916128302299e+01, 0.1568131045107e+03, 0.3738329328831e-09, 0.1042266763456e+01, 0.3948519331910e+03, 0.2451199165151e-09, 0.1166788435700e+01, 0.1435713242844e+03, 0.2436734402904e-09, 0.3254726114901e+01, 0.2268582385539e+03, 0.2213605274325e-09, 0.1687210598530e+01, 0.1658638954901e+03, 0.1491521204829e-09, 0.2657541786794e+01, 0.2219950288015e+03, 0.1474995329744e-09, 0.5013089805819e+01, 0.3052819430710e+03, 0.1661939475656e-09, 0.5495315428418e+01, 0.2526661704812e+03, 0.9015946748003e-10, 0.2236989966505e+01, 0.4171445043968e+03 }; /* Sun-to-Earth, T^0, Z */ static const double e0z[] = { 0.2796207639075e-05, 0.3198701560209e+01, 0.8433466158131e+02, 0.1016042198142e-05, 0.5422360395913e+01, 0.5507553240374e+01, 0.8044305033647e-06, 0.3880222866652e+01, 0.5223693906222e+01, 0.4385347909274e-06, 0.3704369937468e+01, 0.2352866153506e+01, 0.3186156414906e-06, 0.3999639363235e+01, 0.1577343543434e+01, 0.2272412285792e-06, 0.3984738315952e+01, 0.1047747311755e+01, 0.1645620103007e-06, 0.3565412516841e+01, 0.5856477690889e+01, 0.1815836921166e-06, 0.4984507059020e+01, 0.6283075850446e+01, 0.1447461676364e-06, 0.3702753570108e+01, 0.9437762937313e+01, 0.1430760876382e-06, 0.3409658712357e+01, 0.1021328554739e+02, 0.1120445753226e-06, 0.4829561570246e+01, 0.1414349524433e+02, 0.1090232840797e-06, 0.2080729178066e+01, 0.6812766822558e+01, 0.9715727346551e-07, 0.3476295881948e+01, 0.4694002934110e+01, 0.1036267136217e-06, 0.4056639536648e+01, 0.7109288135493e+02, 0.8752665271340e-07, 0.4448159519911e+01, 0.5753384878334e+01, 0.8331864956004e-07, 0.4991704044208e+01, 0.7084896783808e+01, 0.6901658670245e-07, 0.4325358994219e+01, 0.6275962395778e+01, 0.9144536848998e-07, 0.1141826375363e+01, 0.6620890113188e+01, 0.7205085037435e-07, 0.3624344170143e+01, 0.5296909721118e+00, 0.7697874654176e-07, 0.5554257458998e+01, 0.1676215758509e+03, 0.5197545738384e-07, 0.6251760961735e+01, 0.1807370494127e+02, 0.5031345378608e-07, 0.2497341091913e+01, 0.4705732307012e+01, 0.4527110205840e-07, 0.2335079920992e+01, 0.6309374173736e+01, 0.4753355798089e-07, 0.7094148987474e+00, 0.5884926831456e+01, 0.4296951977516e-07, 0.1101916352091e+01, 0.6681224869435e+01, 0.3855341568387e-07, 0.1825495405486e+01, 0.5486777812467e+01, 0.5253930970990e-07, 0.4424740687208e+01, 0.7860419393880e+01, 0.4024630496471e-07, 0.5120498157053e+01, 0.1336797263425e+02, 0.4061069791453e-07, 0.6029771435451e+01, 0.3930209696940e+01, 0.3797883804205e-07, 0.4435193600836e+00, 0.3154687086868e+01, 0.2933033225587e-07, 0.5124157356507e+01, 0.1059381944224e+01, 0.3503000930426e-07, 0.5421830162065e+01, 0.6069776770667e+01, 0.3670096214050e-07, 0.4582101667297e+01, 0.1219403291462e+02, 0.2905609437008e-07, 0.1926566420072e+01, 0.1097707878456e+02, 0.2466827821713e-07, 0.6090174539834e+00, 0.6496374930224e+01, 0.2691647295332e-07, 0.1393432595077e+01, 0.2200391463820e+02, 0.2150554667946e-07, 0.4308671715951e+01, 0.5643178611111e+01, 0.2237481922680e-07, 0.8133968269414e+00, 0.8635942003952e+01, 0.1817741038157e-07, 0.3755205127454e+01, 0.3340612434717e+01, 0.2227820762132e-07, 0.2759558596664e+01, 0.1203646072878e+02, 0.1944713772307e-07, 0.5699645869121e+01, 0.1179062909082e+02, 0.1527340520662e-07, 0.1986749091746e+01, 0.3981490189893e+00, 0.1577282574914e-07, 0.3205017217983e+01, 0.5088628793478e+01, 0.1424738825424e-07, 0.6256747903666e+01, 0.2544314396739e+01, 0.1616563121701e-07, 0.2601671259394e+00, 0.1729818233119e+02, 0.1401210391692e-07, 0.4686939173506e+01, 0.7058598460518e+01, 0.1488726974214e-07, 0.2815862451372e+01, 0.2593412433514e+02, 0.1692626442388e-07, 0.4956894109797e+01, 0.1564752902480e+03, 0.1123571582910e-07, 0.2381192697696e+01, 0.3738761453707e+01, 0.9903308606317e-08, 0.4294851657684e+01, 0.9225539266174e+01, 0.9174533187191e-08, 0.3075171510642e+01, 0.4164311961999e+01, 0.8645985631457e-08, 0.5477534821633e+00, 0.8429241228195e+01, -0.1085876492688e-07, 0.0000000000000e+00, 0.0000000000000e+00, 0.9264309077815e-08, 0.5968571670097e+01, 0.7079373888424e+01, 0.8243116984954e-08, 0.1489098777643e+01, 0.1044738781244e+02, 0.8268102113708e-08, 0.3512977691983e+01, 0.1150676975667e+02, 0.9043613988227e-08, 0.1290704408221e+00, 0.1101510648075e+02, 0.7432912038789e-08, 0.1991086893337e+01, 0.2608790314060e+02, 0.8586233727285e-08, 0.4238357924414e+01, 0.2986433403208e+02, 0.7612230060131e-08, 0.2911090150166e+01, 0.4732030630302e+01, 0.7097787751408e-08, 0.1908938392390e+01, 0.8031092209206e+01, 0.7640237040175e-08, 0.6129219000168e+00, 0.7962980379786e+00, 0.7070445688081e-08, 0.1380417036651e+01, 0.2146165377750e+01, 0.7690770957702e-08, 0.1680504249084e+01, 0.2122839202813e+02, 0.8051292542594e-08, 0.5127423484511e+01, 0.2942463415728e+01, 0.5902709104515e-08, 0.2020274190917e+01, 0.7755226100720e+00, 0.5134567496462e-08, 0.2606778676418e+01, 0.1256615170089e+02, 0.5525802046102e-08, 0.1613011769663e+01, 0.8018209333619e+00, 0.5880724784221e-08, 0.4604483417236e+01, 0.4690479774488e+01, 0.5211699081370e-08, 0.5718964114193e+01, 0.8827390247185e+01, 0.4891849573562e-08, 0.3689658932196e+01, 0.2132990797783e+00, 0.5150246069997e-08, 0.4099769855122e+01, 0.6480980550449e+02, 0.5102434319633e-08, 0.5660834602509e+01, 0.3379454372902e+02, 0.5083405254252e-08, 0.9842221218974e+00, 0.4136910472696e+01, 0.4206562585682e-08, 0.1341363634163e+00, 0.3128388763578e+01, 0.4663249683579e-08, 0.8130132735866e+00, 0.5216580451554e+01, 0.4099474416530e-08, 0.5791497770644e+01, 0.4265981595566e+00, 0.4628251220767e-08, 0.1249802769331e+01, 0.1572083878776e+02, 0.5024068728142e-08, 0.4795684802743e+01, 0.6290189305114e+01, 0.5120234327758e-08, 0.3810420387208e+01, 0.5230807360890e+01, 0.5524029815280e-08, 0.1029264714351e+01, 0.2397622045175e+03, 0.4757415718860e-08, 0.3528044781779e+01, 0.1649636139783e+02, 0.3915786131127e-08, 0.5593889282646e+01, 0.1589072916335e+01, 0.4869053149991e-08, 0.3299636454433e+01, 0.7632943190217e+01, 0.3649365703729e-08, 0.1286049002584e+01, 0.6206810014183e+01, 0.3992493949002e-08, 0.3100307589464e+01, 0.2515860172507e+02, 0.3320247477418e-08, 0.6212683940807e+01, 0.1216800268190e+02, 0.3287123739696e-08, 0.4699118445928e+01, 0.7234794171227e+01, 0.3472776811103e-08, 0.2630507142004e+01, 0.7342457794669e+01, 0.3423253294767e-08, 0.2946432844305e+01, 0.9623688285163e+01, 0.3896173898244e-08, 0.1224834179264e+01, 0.6438496133249e+01, 0.3388455337924e-08, 0.1543807616351e+01, 0.1494531617769e+02, 0.3062704716523e-08, 0.1191777572310e+01, 0.8662240327241e+01, 0.3270075600400e-08, 0.5483498767737e+01, 0.1194447056968e+01, 0.3101209215259e-08, 0.8000833804348e+00, 0.3772475342596e+02, 0.2780883347311e-08, 0.4077980721888e+00, 0.5863591145557e+01, 0.2903605931824e-08, 0.2617490302147e+01, 0.1965104848470e+02, 0.2682014743119e-08, 0.2634703158290e+01, 0.7238675589263e+01, 0.2534360108492e-08, 0.6102446114873e+01, 0.6836645152238e+01, 0.2392564882509e-08, 0.3681820208691e+01, 0.5849364236221e+01, 0.2656667254856e-08, 0.6216045388886e+01, 0.6133512519065e+01, 0.2331242096773e-08, 0.5864949777744e+01, 0.4535059491685e+01, 0.2287898363668e-08, 0.4566628532802e+01, 0.7477522907414e+01, 0.2336944521306e-08, 0.2442722126930e+01, 0.1137170464392e+02, 0.3156632236269e-08, 0.1626628050682e+01, 0.2509084901204e+03, 0.2982612402766e-08, 0.2803604512609e+01, 0.1748016358760e+01, 0.2774031674807e-08, 0.4654002897158e+01, 0.8223916695780e+02, 0.2295236548638e-08, 0.4326518333253e+01, 0.3378142627421e+00, 0.2190714699873e-08, 0.4519614578328e+01, 0.2908881142201e+02, 0.2191495845045e-08, 0.3012626912549e+01, 0.1673046366289e+02, 0.2492901628386e-08, 0.1290101424052e+00, 0.1543797956245e+03, 0.1993778064319e-08, 0.3864046799414e+01, 0.1778984560711e+02, 0.1898146479022e-08, 0.5053777235891e+01, 0.2042657109477e+02, 0.1918280127634e-08, 0.2222470192548e+01, 0.4165496312290e+02, 0.1916351061607e-08, 0.8719067257774e+00, 0.7737595720538e+02, 0.1834720181466e-08, 0.4031491098040e+01, 0.2358125818164e+02, 0.1249201523806e-08, 0.5938379466835e+01, 0.3301902111895e+02, 0.1477304050539e-08, 0.6544722606797e+00, 0.9548094718417e+02, 0.1264316431249e-08, 0.2059072853236e+01, 0.8399684731857e+02, 0.1203526495039e-08, 0.3644813532605e+01, 0.4558517281984e+02, 0.9221681059831e-09, 0.3241815055602e+01, 0.7805158573086e+02, 0.7849278367646e-09, 0.5043812342457e+01, 0.5217580628120e+02, 0.7983392077387e-09, 0.5000024502753e+01, 0.1501922143975e+03, 0.7925395431654e-09, 0.1398734871821e-01, 0.9061773743175e+02, 0.7640473285886e-09, 0.5067111723130e+01, 0.4951538251678e+02, 0.5398937754482e-09, 0.5597382200075e+01, 0.1613385000004e+03, 0.5626247550193e-09, 0.2601338209422e+01, 0.7318837597844e+02, 0.5525197197855e-09, 0.5814832109256e+01, 0.1432335100216e+03, 0.5407629837898e-09, 0.3384820609076e+01, 0.3230491187871e+03, 0.3856739119801e-09, 0.1072391840473e+01, 0.2334791286671e+03, 0.3856425239987e-09, 0.2369540393327e+01, 0.1739046517013e+03, 0.4350867755983e-09, 0.5255575751082e+01, 0.1620484330494e+03, 0.3844113924996e-09, 0.5482356246182e+01, 0.9757644180768e+02, 0.2854869155431e-09, 0.9573634763143e+00, 0.1697170704744e+03, 0.1719227671416e-09, 0.1887203025202e+01, 0.2265204242912e+03, 0.1527846879755e-09, 0.3982183931157e+01, 0.3341954043900e+03, 0.1128229264847e-09, 0.2787457156298e+01, 0.3119028331842e+03 }; /* Sun-to-Earth, T^1, X */ static const double e1x[] = { 0.1234046326004e-05, 0.0000000000000e+00, 0.0000000000000e+00, 0.5150068824701e-06, 0.6002664557501e+01, 0.1256615170089e+02, 0.1290743923245e-07, 0.5959437664199e+01, 0.1884922755134e+02, 0.1068615564952e-07, 0.2015529654209e+01, 0.6283075850446e+01, 0.2079619142538e-08, 0.1732960531432e+01, 0.6279552690824e+01, 0.2078009243969e-08, 0.4915604476996e+01, 0.6286599010068e+01, 0.6206330058856e-09, 0.3616457953824e+00, 0.4705732307012e+01, 0.5989335313746e-09, 0.3802607304474e+01, 0.6256777527156e+01, 0.5958495663840e-09, 0.2845866560031e+01, 0.6309374173736e+01, 0.4866923261539e-09, 0.5213203771824e+01, 0.7755226100720e+00, 0.4267785823142e-09, 0.4368189727818e+00, 0.1059381944224e+01, 0.4610675141648e-09, 0.1837249181372e-01, 0.7860419393880e+01, 0.3626989993973e-09, 0.2161590545326e+01, 0.5753384878334e+01, 0.3563071194389e-09, 0.1452631954746e+01, 0.5884926831456e+01, 0.3557015642807e-09, 0.4470593393054e+01, 0.6812766822558e+01, 0.3210412089122e-09, 0.5195926078314e+01, 0.6681224869435e+01, 0.2875473577986e-09, 0.5916256610193e+01, 0.2513230340178e+02, 0.2842913681629e-09, 0.1149902426047e+01, 0.6127655567643e+01, 0.2751248215916e-09, 0.5502088574662e+01, 0.6438496133249e+01, 0.2481432881127e-09, 0.2921989846637e+01, 0.5486777812467e+01, 0.2059885976560e-09, 0.3718070376585e+01, 0.7079373888424e+01, 0.2015522342591e-09, 0.5979395259740e+01, 0.6290189305114e+01, 0.1995364084253e-09, 0.6772087985494e+00, 0.6275962395778e+01, 0.1957436436943e-09, 0.2899210654665e+01, 0.5507553240374e+01, 0.1651609818948e-09, 0.6228206482192e+01, 0.1150676975667e+02, 0.1822980550699e-09, 0.1469348746179e+01, 0.1179062909082e+02, 0.1675223159760e-09, 0.3813910555688e+01, 0.7058598460518e+01, 0.1706491764745e-09, 0.3004380506684e+00, 0.7113454667900e-02, 0.1392952362615e-09, 0.1440393973406e+01, 0.7962980379786e+00, 0.1209868266342e-09, 0.4150425791727e+01, 0.4694002934110e+01, 0.1009827202611e-09, 0.3290040429843e+01, 0.3738761453707e+01, 0.1047261388602e-09, 0.4229590090227e+01, 0.6282095334605e+01, 0.1047006652004e-09, 0.2418967680575e+01, 0.6284056366286e+01, 0.9609993143095e-10, 0.4627943659201e+01, 0.6069776770667e+01, 0.9590900593873e-10, 0.1894393939924e+01, 0.4136910472696e+01, 0.9146249188071e-10, 0.2010647519562e+01, 0.6496374930224e+01, 0.8545274480290e-10, 0.5529846956226e-01, 0.1194447056968e+01, 0.8224377881194e-10, 0.1254304102174e+01, 0.1589072916335e+01, 0.6183529510410e-10, 0.3360862168815e+01, 0.8827390247185e+01, 0.6259255147141e-10, 0.4755628243179e+01, 0.8429241228195e+01, 0.5539291694151e-10, 0.5371746955142e+01, 0.4933208510675e+01, 0.7328259466314e-10, 0.4927699613906e+00, 0.4535059491685e+01, 0.6017835843560e-10, 0.5776682001734e-01, 0.1255903824622e+02, 0.7079827775243e-10, 0.4395059432251e+01, 0.5088628793478e+01, 0.5170358878213e-10, 0.5154062619954e+01, 0.1176985366291e+02, 0.4872301838682e-10, 0.6289611648973e+00, 0.6040347114260e+01, 0.5249869411058e-10, 0.5617272046949e+01, 0.3154687086868e+01, 0.4716172354411e-10, 0.3965901800877e+01, 0.5331357529664e+01, 0.4871214940964e-10, 0.4627507050093e+01, 0.1256967486051e+02, 0.4598076850751e-10, 0.6023631226459e+01, 0.6525804586632e+01, 0.4562196089485e-10, 0.4138562084068e+01, 0.3930209696940e+01, 0.4325493872224e-10, 0.1330845906564e+01, 0.7632943190217e+01, 0.5673781176748e-10, 0.2558752615657e+01, 0.5729506548653e+01, 0.3961436642503e-10, 0.2728071734630e+01, 0.7234794171227e+01, 0.5101868209058e-10, 0.4113444965144e+01, 0.6836645152238e+01, 0.5257043167676e-10, 0.6195089830590e+01, 0.8031092209206e+01, 0.5076613989393e-10, 0.2305124132918e+01, 0.7477522907414e+01, 0.3342169352778e-10, 0.5415998155071e+01, 0.1097707878456e+02, 0.3545881983591e-10, 0.3727160564574e+01, 0.4164311961999e+01, 0.3364063738599e-10, 0.2901121049204e+00, 0.1137170464392e+02, 0.3357039670776e-10, 0.1652229354331e+01, 0.5223693906222e+01, 0.4307412268687e-10, 0.4938909587445e+01, 0.1592596075957e+01, 0.3405769115435e-10, 0.2408890766511e+01, 0.3128388763578e+01, 0.3001926198480e-10, 0.4862239006386e+01, 0.1748016358760e+01, 0.2778264787325e-10, 0.5241168661353e+01, 0.7342457794669e+01, 0.2676159480666e-10, 0.3423593942199e+01, 0.2146165377750e+01, 0.2954273399939e-10, 0.1881721265406e+01, 0.5368044267797e+00, 0.3309362888795e-10, 0.1931525677349e+01, 0.8018209333619e+00, 0.2810283608438e-10, 0.2414659495050e+01, 0.5225775174439e+00, 0.3378045637764e-10, 0.4238019163430e+01, 0.1554202828031e+00, 0.2558134979840e-10, 0.1828225235805e+01, 0.5230807360890e+01, 0.2273755578447e-10, 0.5858184283998e+01, 0.7084896783808e+01, 0.2294176037690e-10, 0.4514589779057e+01, 0.1726015463500e+02, 0.2533506099435e-10, 0.2355717851551e+01, 0.5216580451554e+01, 0.2716685375812e-10, 0.2221003625100e+01, 0.8635942003952e+01, 0.2419043435198e-10, 0.5955704951635e+01, 0.4690479774488e+01, 0.2521232544812e-10, 0.1395676848521e+01, 0.5481254917084e+01, 0.2630195021491e-10, 0.5727468918743e+01, 0.2629832328990e-01, 0.2548395840944e-10, 0.2628351859400e-03, 0.1349867339771e+01 }; /* Sun-to-Earth, T^1, Y */ static const double e1y[] = { 0.9304690546528e-06, 0.0000000000000e+00, 0.0000000000000e+00, 0.5150715570663e-06, 0.4431807116294e+01, 0.1256615170089e+02, 0.1290825411056e-07, 0.4388610039678e+01, 0.1884922755134e+02, 0.4645466665386e-08, 0.5827263376034e+01, 0.6283075850446e+01, 0.2079625310718e-08, 0.1621698662282e+00, 0.6279552690824e+01, 0.2078189850907e-08, 0.3344713435140e+01, 0.6286599010068e+01, 0.6207190138027e-09, 0.5074049319576e+01, 0.4705732307012e+01, 0.5989826532569e-09, 0.2231842216620e+01, 0.6256777527156e+01, 0.5961360812618e-09, 0.1274975769045e+01, 0.6309374173736e+01, 0.4874165471016e-09, 0.3642277426779e+01, 0.7755226100720e+00, 0.4283834034360e-09, 0.5148765510106e+01, 0.1059381944224e+01, 0.4652389287529e-09, 0.4715794792175e+01, 0.7860419393880e+01, 0.3751707476401e-09, 0.6617207370325e+00, 0.5753384878334e+01, 0.3559998806198e-09, 0.6155548875404e+01, 0.5884926831456e+01, 0.3558447558857e-09, 0.2898827297664e+01, 0.6812766822558e+01, 0.3211116927106e-09, 0.3625813502509e+01, 0.6681224869435e+01, 0.2875609914672e-09, 0.4345435813134e+01, 0.2513230340178e+02, 0.2843109704069e-09, 0.5862263940038e+01, 0.6127655567643e+01, 0.2744676468427e-09, 0.3926419475089e+01, 0.6438496133249e+01, 0.2481285237789e-09, 0.1351976572828e+01, 0.5486777812467e+01, 0.2060338481033e-09, 0.2147556998591e+01, 0.7079373888424e+01, 0.2015822358331e-09, 0.4408358972216e+01, 0.6290189305114e+01, 0.2001195944195e-09, 0.5385829822531e+01, 0.6275962395778e+01, 0.1953667642377e-09, 0.1304933746120e+01, 0.5507553240374e+01, 0.1839744078713e-09, 0.6173567228835e+01, 0.1179062909082e+02, 0.1643334294845e-09, 0.4635942997523e+01, 0.1150676975667e+02, 0.1768051018652e-09, 0.5086283558874e+01, 0.7113454667900e-02, 0.1674874205489e-09, 0.2243332137241e+01, 0.7058598460518e+01, 0.1421445397609e-09, 0.6186899771515e+01, 0.7962980379786e+00, 0.1255163958267e-09, 0.5730238465658e+01, 0.4694002934110e+01, 0.1013945281961e-09, 0.1726055228402e+01, 0.3738761453707e+01, 0.1047294335852e-09, 0.2658801228129e+01, 0.6282095334605e+01, 0.1047103879392e-09, 0.8481047835035e+00, 0.6284056366286e+01, 0.9530343962826e-10, 0.3079267149859e+01, 0.6069776770667e+01, 0.9604637611690e-10, 0.3258679792918e+00, 0.4136910472696e+01, 0.9153518537177e-10, 0.4398599886584e+00, 0.6496374930224e+01, 0.8562458214922e-10, 0.4772686794145e+01, 0.1194447056968e+01, 0.8232525360654e-10, 0.5966220721679e+01, 0.1589072916335e+01, 0.6150223411438e-10, 0.1780985591923e+01, 0.8827390247185e+01, 0.6272087858000e-10, 0.3184305429012e+01, 0.8429241228195e+01, 0.5540476311040e-10, 0.3801260595433e+01, 0.4933208510675e+01, 0.7331901699361e-10, 0.5205948591865e+01, 0.4535059491685e+01, 0.6018528702791e-10, 0.4770139083623e+01, 0.1255903824622e+02, 0.5150530724804e-10, 0.3574796899585e+01, 0.1176985366291e+02, 0.6471933741811e-10, 0.2679787266521e+01, 0.5088628793478e+01, 0.5317460644174e-10, 0.9528763345494e+00, 0.3154687086868e+01, 0.4832187748783e-10, 0.5329322498232e+01, 0.6040347114260e+01, 0.4716763555110e-10, 0.2395235316466e+01, 0.5331357529664e+01, 0.4871509139861e-10, 0.3056663648823e+01, 0.1256967486051e+02, 0.4598417696768e-10, 0.4452762609019e+01, 0.6525804586632e+01, 0.5674189533175e-10, 0.9879680872193e+00, 0.5729506548653e+01, 0.4073560328195e-10, 0.5939127696986e+01, 0.7632943190217e+01, 0.5040994945359e-10, 0.4549875824510e+01, 0.8031092209206e+01, 0.5078185134679e-10, 0.7346659893982e+00, 0.7477522907414e+01, 0.3769343537061e-10, 0.1071317188367e+01, 0.7234794171227e+01, 0.4980331365299e-10, 0.2500345341784e+01, 0.6836645152238e+01, 0.3458236594757e-10, 0.3825159450711e+01, 0.1097707878456e+02, 0.3578859493602e-10, 0.5299664791549e+01, 0.4164311961999e+01, 0.3370504646419e-10, 0.5002316301593e+01, 0.1137170464392e+02, 0.3299873338428e-10, 0.2526123275282e+01, 0.3930209696940e+01, 0.4304917318409e-10, 0.3368078557132e+01, 0.1592596075957e+01, 0.3402418753455e-10, 0.8385495425800e+00, 0.3128388763578e+01, 0.2778460572146e-10, 0.3669905203240e+01, 0.7342457794669e+01, 0.2782710128902e-10, 0.2691664812170e+00, 0.1748016358760e+01, 0.2711725179646e-10, 0.4707487217718e+01, 0.5296909721118e+00, 0.2981760946340e-10, 0.3190260867816e+00, 0.5368044267797e+00, 0.2811672977772e-10, 0.3196532315372e+01, 0.7084896783808e+01, 0.2863454474467e-10, 0.2263240324780e+00, 0.5223693906222e+01, 0.3333464634051e-10, 0.3498451685065e+01, 0.8018209333619e+00, 0.3312991747609e-10, 0.5839154477412e+01, 0.1554202828031e+00, 0.2813255564006e-10, 0.8268044346621e+00, 0.5225775174439e+00, 0.2665098083966e-10, 0.3934021725360e+01, 0.5216580451554e+01, 0.2349795705216e-10, 0.5197620913779e+01, 0.2146165377750e+01, 0.2330352293961e-10, 0.2984999231807e+01, 0.1726015463500e+02, 0.2728001683419e-10, 0.6521679638544e+00, 0.8635942003952e+01, 0.2484061007669e-10, 0.3468955561097e+01, 0.5230807360890e+01, 0.2646328768427e-10, 0.1013724533516e+01, 0.2629832328990e-01, 0.2518630264831e-10, 0.6108081057122e+01, 0.5481254917084e+01, 0.2421901455384e-10, 0.1651097776260e+01, 0.1349867339771e+01, 0.6348533267831e-11, 0.3220226560321e+01, 0.8433466158131e+02 }; /* Sun-to-Earth, T^1, Z */ static const double e1z[] = { 0.2278290449966e-05, 0.3413716033863e+01, 0.6283075850446e+01, 0.5429458209830e-07, 0.0000000000000e+00, 0.0000000000000e+00, 0.1903240492525e-07, 0.3370592358297e+01, 0.1256615170089e+02, 0.2385409276743e-09, 0.3327914718416e+01, 0.1884922755134e+02, 0.8676928342573e-10, 0.1824006811264e+01, 0.5223693906222e+01, 0.7765442593544e-10, 0.3888564279247e+01, 0.5507553240374e+01, 0.7066158332715e-10, 0.5194267231944e+01, 0.2352866153506e+01, 0.7092175288657e-10, 0.2333246960021e+01, 0.8399684731857e+02, 0.5357582213535e-10, 0.2224031176619e+01, 0.5296909721118e+00, 0.3828035865021e-10, 0.2156710933584e+01, 0.6279552690824e+01, 0.3824857220427e-10, 0.1529755219915e+01, 0.6286599010068e+01, 0.3286995181628e-10, 0.4879512900483e+01, 0.1021328554739e+02 }; /* Sun-to-Earth, T^2, X */ static const double e2x[] = { -0.4143818297913e-10, 0.0000000000000e+00, 0.0000000000000e+00, 0.2171497694435e-10, 0.4398225628264e+01, 0.1256615170089e+02, 0.9845398442516e-11, 0.2079720838384e+00, 0.6283075850446e+01, 0.9256833552682e-12, 0.4191264694361e+01, 0.1884922755134e+02, 0.1022049384115e-12, 0.5381133195658e+01, 0.8399684731857e+02 }; /* Sun-to-Earth, T^2, Y */ static const double e2y[] = { 0.5063375872532e-10, 0.0000000000000e+00, 0.0000000000000e+00, 0.2173815785980e-10, 0.2827805833053e+01, 0.1256615170089e+02, 0.1010231999920e-10, 0.4634612377133e+01, 0.6283075850446e+01, 0.9259745317636e-12, 0.2620612076189e+01, 0.1884922755134e+02, 0.1022202095812e-12, 0.3809562326066e+01, 0.8399684731857e+02 }; /* Sun-to-Earth, T^2, Z */ static const double e2z[] = { 0.9722666114891e-10, 0.5152219582658e+01, 0.6283075850446e+01, -0.3494819171909e-11, 0.0000000000000e+00, 0.0000000000000e+00, 0.6713034376076e-12, 0.6440188750495e+00, 0.1256615170089e+02 }; /* SSB-to-Sun, T^0, X */ static const double s0x[] = { 0.4956757536410e-02, 0.3741073751789e+01, 0.5296909721118e+00, 0.2718490072522e-02, 0.4016011511425e+01, 0.2132990797783e+00, 0.1546493974344e-02, 0.2170528330642e+01, 0.3813291813120e-01, 0.8366855276341e-03, 0.2339614075294e+01, 0.7478166569050e-01, 0.2936777942117e-03, 0.0000000000000e+00, 0.0000000000000e+00, 0.1201317439469e-03, 0.4090736353305e+01, 0.1059381944224e+01, 0.7578550887230e-04, 0.3241518088140e+01, 0.4265981595566e+00, 0.1941787367773e-04, 0.1012202064330e+01, 0.2061856251104e+00, 0.1889227765991e-04, 0.3892520416440e+01, 0.2204125344462e+00, 0.1937896968613e-04, 0.4797779441161e+01, 0.1495633313810e+00, 0.1434506110873e-04, 0.3868960697933e+01, 0.5225775174439e+00, 0.1406659911580e-04, 0.4759766557397e+00, 0.5368044267797e+00, 0.1179022300202e-04, 0.7774961520598e+00, 0.7626583626240e-01, 0.8085864460959e-05, 0.3254654471465e+01, 0.3664874755930e-01, 0.7622752967615e-05, 0.4227633103489e+01, 0.3961708870310e-01, 0.6209171139066e-05, 0.2791828325711e+00, 0.7329749511860e-01, 0.4366435633970e-05, 0.4440454875925e+01, 0.1589072916335e+01, 0.3792124889348e-05, 0.5156393842356e+01, 0.7113454667900e-02, 0.3154548963402e-05, 0.6157005730093e+01, 0.4194847048887e+00, 0.3088359882942e-05, 0.2494567553163e+01, 0.6398972393349e+00, 0.2788440902136e-05, 0.4934318747989e+01, 0.1102062672231e+00, 0.3039928456376e-05, 0.4895077702640e+01, 0.6283075850446e+01, 0.2272258457679e-05, 0.5278394064764e+01, 0.1030928125552e+00, 0.2162007057957e-05, 0.5802978019099e+01, 0.3163918923335e+00, 0.1767632855737e-05, 0.3415346595193e-01, 0.1021328554739e+02, 0.1349413459362e-05, 0.2001643230755e+01, 0.1484170571900e-02, 0.1170141900476e-05, 0.2424750491620e+01, 0.6327837846670e+00, 0.1054355266820e-05, 0.3123311487576e+01, 0.4337116142245e+00, 0.9800822461610e-06, 0.3026258088130e+01, 0.1052268489556e+01, 0.1091203749931e-05, 0.3157811670347e+01, 0.1162474756779e+01, 0.6960236715913e-06, 0.8219570542313e+00, 0.1066495398892e+01, 0.5689257296909e-06, 0.1323052375236e+01, 0.9491756770005e+00, 0.6613172135802e-06, 0.2765348881598e+00, 0.8460828644453e+00, 0.6277702517571e-06, 0.5794064466382e+01, 0.1480791608091e+00, 0.6304884066699e-06, 0.7323555380787e+00, 0.2243449970715e+00, 0.4897850467382e-06, 0.3062464235399e+01, 0.3340612434717e+01, 0.3759148598786e-06, 0.4588290469664e+01, 0.3516457698740e-01, 0.3110520548195e-06, 0.1374299536572e+01, 0.6373574839730e-01, 0.3064708359780e-06, 0.4222267485047e+01, 0.1104591729320e-01, 0.2856347168241e-06, 0.3714202944973e+01, 0.1510475019529e+00, 0.2840945514288e-06, 0.2847972875882e+01, 0.4110125927500e-01, 0.2378951599405e-06, 0.3762072563388e+01, 0.2275259891141e+00, 0.2714229481417e-06, 0.1036049980031e+01, 0.2535050500000e-01, 0.2323551717307e-06, 0.4682388599076e+00, 0.8582758298370e-01, 0.1881790512219e-06, 0.4790565425418e+01, 0.2118763888447e+01, 0.2261353968371e-06, 0.1669144912212e+01, 0.7181332454670e-01, 0.2214546389848e-06, 0.3937717281614e+01, 0.2968341143800e-02, 0.2184915594933e-06, 0.1129169845099e+00, 0.7775000683430e-01, 0.2000164937936e-06, 0.4030009638488e+01, 0.2093666171530e+00, 0.1966105136719e-06, 0.8745955786834e+00, 0.2172315424036e+00, 0.1904742332624e-06, 0.5919743598964e+01, 0.2022531624851e+00, 0.1657399705031e-06, 0.2549141484884e+01, 0.7358765972222e+00, 0.1574070533987e-06, 0.5277533020230e+01, 0.7429900518901e+00, 0.1832261651039e-06, 0.3064688127777e+01, 0.3235053470014e+00, 0.1733615346569e-06, 0.3011432799094e+01, 0.1385174140878e+00, 0.1549124014496e-06, 0.4005569132359e+01, 0.5154640627760e+00, 0.1637044713838e-06, 0.1831375966632e+01, 0.8531963191132e+00, 0.1123420082383e-06, 0.1180270407578e+01, 0.1990721704425e+00, 0.1083754165740e-06, 0.3414101320863e+00, 0.5439178814476e+00, 0.1156638012655e-06, 0.6130479452594e+00, 0.5257585094865e+00, 0.1142548785134e-06, 0.3724761948846e+01, 0.5336234347371e+00, 0.7921463895965e-07, 0.2435425589361e+01, 0.1478866649112e+01, 0.7428600285231e-07, 0.3542144398753e+01, 0.2164800718209e+00, 0.8323211246747e-07, 0.3525058072354e+01, 0.1692165728891e+01, 0.7257595116312e-07, 0.1364299431982e+01, 0.2101180877357e+00, 0.7111185833236e-07, 0.2460478875808e+01, 0.4155522422634e+00, 0.6868090383716e-07, 0.4397327670704e+01, 0.1173197218910e+00, 0.7226419974175e-07, 0.4042647308905e+01, 0.1265567569334e+01, 0.6955642383177e-07, 0.2865047906085e+01, 0.9562891316684e+00, 0.7492139296331e-07, 0.5014278994215e+01, 0.1422690933580e-01, 0.6598363128857e-07, 0.2376730020492e+01, 0.6470106940028e+00, 0.7381147293385e-07, 0.3272990384244e+01, 0.1581959461667e+01, 0.6402909624032e-07, 0.5302290955138e+01, 0.9597935788730e-01, 0.6237454263857e-07, 0.5444144425332e+01, 0.7084920306520e-01, 0.5241198544016e-07, 0.4215359579205e+01, 0.5265099800692e+00, 0.5144463853918e-07, 0.1218916689916e+00, 0.5328719641544e+00, 0.5868164772299e-07, 0.2369402002213e+01, 0.7871412831580e-01, 0.6233195669151e-07, 0.1254922242403e+01, 0.2608790314060e+02, 0.6068463791422e-07, 0.5679713760431e+01, 0.1114304132498e+00, 0.4359361135065e-07, 0.6097219641646e+00, 0.1375773836557e+01, 0.4686510366826e-07, 0.4786231041431e+01, 0.1143987543936e+00, 0.3758977287225e-07, 0.1167368068139e+01, 0.1596186371003e+01, 0.4282051974778e-07, 0.1519471064319e+01, 0.2770348281756e+00, 0.5153765386113e-07, 0.1860532322984e+01, 0.2228608264996e+00, 0.4575129387188e-07, 0.7632857887158e+00, 0.1465949902372e+00, 0.3326844933286e-07, 0.1298219485285e+01, 0.5070101000000e-01, 0.3748617450984e-07, 0.1046510321062e+01, 0.4903339079539e+00, 0.2816756661499e-07, 0.3434522346190e+01, 0.2991266627620e+00, 0.3412750405039e-07, 0.2523766270318e+01, 0.3518164938661e+00, 0.2655796761776e-07, 0.2904422260194e+01, 0.6256703299991e+00, 0.2963597929458e-07, 0.5923900431149e+00, 0.1099462426779e+00, 0.2539523734781e-07, 0.4851947722567e+01, 0.1256615170089e+02, 0.2283087914139e-07, 0.3400498595496e+01, 0.6681224869435e+01, 0.2321309799331e-07, 0.5789099148673e+01, 0.3368040641550e-01, 0.2549657649750e-07, 0.3991856479792e-01, 0.1169588211447e+01, 0.2290462303977e-07, 0.2788567577052e+01, 0.1045155034888e+01, 0.1945398522914e-07, 0.3290896998176e+01, 0.1155361302111e+01, 0.1849171512638e-07, 0.2698060129367e+01, 0.4452511715700e-02, 0.1647199834254e-07, 0.3016735644085e+01, 0.4408250688924e+00, 0.1529530765273e-07, 0.5573043116178e+01, 0.6521991896920e-01, 0.1433199339978e-07, 0.1481192356147e+01, 0.9420622223326e+00, 0.1729134193602e-07, 0.1422817538933e+01, 0.2108507877249e+00, 0.1716463931346e-07, 0.3469468901855e+01, 0.2157473718317e+00, 0.1391206061378e-07, 0.6122436220547e+01, 0.4123712502208e+00, 0.1404746661924e-07, 0.1647765641936e+01, 0.4258542984690e-01, 0.1410452399455e-07, 0.5989729161964e+01, 0.2258291676434e+00, 0.1089828772168e-07, 0.2833705509371e+01, 0.4226656969313e+00, 0.1047374564948e-07, 0.5090690007331e+00, 0.3092784376656e+00, 0.1358279126532e-07, 0.5128990262836e+01, 0.7923417740620e-01, 0.1020456476148e-07, 0.9632772880808e+00, 0.1456308687557e+00, 0.1033428735328e-07, 0.3223779318418e+01, 0.1795258541446e+01, 0.1412435841540e-07, 0.2410271572721e+01, 0.1525316725248e+00, 0.9722759371574e-08, 0.2333531395690e+01, 0.8434341241180e-01, 0.9657334084704e-08, 0.6199270974168e+01, 0.1272681024002e+01, 0.1083641148690e-07, 0.2864222292929e+01, 0.7032915397480e-01, 0.1067318403838e-07, 0.5833458866568e+00, 0.2123349582968e+00, 0.1062366201976e-07, 0.4307753989494e+01, 0.2142632012598e+00, 0.1236364149266e-07, 0.2873917870593e+01, 0.1847279083684e+00, 0.1092759489593e-07, 0.2959887266733e+01, 0.1370332435159e+00, 0.8912069362899e-08, 0.5141213702562e+01, 0.2648454860559e+01, 0.9656467707970e-08, 0.4532182462323e+01, 0.4376440768498e+00, 0.8098386150135e-08, 0.2268906338379e+01, 0.2880807454688e+00, 0.7857714675000e-08, 0.4055544260745e+01, 0.2037373330570e+00, 0.7288455940646e-08, 0.5357901655142e+01, 0.1129145838217e+00, 0.9450595950552e-08, 0.4264926963939e+01, 0.5272426800584e+00, 0.9381718247537e-08, 0.7489366976576e-01, 0.5321392641652e+00, 0.7079052646038e-08, 0.1923311052874e+01, 0.6288513220417e+00, 0.9259004415344e-08, 0.2970256853438e+01, 0.1606092486742e+00, 0.8259801499742e-08, 0.3327056314697e+01, 0.8389694097774e+00, 0.6476334355779e-08, 0.2954925505727e+01, 0.2008557621224e+01, 0.5984021492007e-08, 0.9138753105829e+00, 0.2042657109477e+02, 0.5989546863181e-08, 0.3244464082031e+01, 0.2111650433779e+01, 0.6233108606023e-08, 0.4995232638403e+00, 0.4305306221819e+00, 0.6877299149965e-08, 0.2834987233449e+01, 0.9561746721300e-02, 0.8311234227190e-08, 0.2202951835758e+01, 0.3801276407308e+00, 0.6599472832414e-08, 0.4478581462618e+01, 0.1063314406849e+01, 0.6160491096549e-08, 0.5145858696411e+01, 0.1368660381889e+01, 0.6164772043891e-08, 0.3762976697911e+00, 0.4234171675140e+00, 0.6363248684450e-08, 0.3162246718685e+01, 0.1253008786510e-01, 0.6448587520999e-08, 0.3442693302119e+01, 0.5287268506303e+00, 0.6431662283977e-08, 0.8977549136606e+00, 0.5306550935933e+00, 0.6351223158474e-08, 0.4306447410369e+01, 0.5217580628120e+02, 0.5476721393451e-08, 0.3888529177855e+01, 0.2221856701002e+01, 0.5341772572619e-08, 0.2655560662512e+01, 0.7466759693650e-01, 0.5337055758302e-08, 0.5164990735946e+01, 0.7489573444450e-01, 0.5373120816787e-08, 0.6041214553456e+01, 0.1274714967946e+00, 0.5392351705426e-08, 0.9177763485932e+00, 0.1055449481598e+01, 0.6688495850205e-08, 0.3089608126937e+01, 0.2213766559277e+00, 0.5072003660362e-08, 0.4311316541553e+01, 0.2132517061319e+00, 0.5070726650455e-08, 0.5790675464444e+00, 0.2133464534247e+00, 0.5658012950032e-08, 0.2703945510675e+01, 0.7287631425543e+00, 0.4835509924854e-08, 0.2975422976065e+01, 0.7160067364790e-01, 0.6479821978012e-08, 0.1324168733114e+01, 0.2209183458640e-01, 0.6230636494980e-08, 0.2860103632836e+01, 0.3306188016693e+00, 0.4649239516213e-08, 0.4832259763403e+01, 0.7796265773310e-01, 0.6487325792700e-08, 0.2726165825042e+01, 0.3884652414254e+00, 0.4682823682770e-08, 0.6966602455408e+00, 0.1073608853559e+01, 0.5704230804976e-08, 0.5669634104606e+01, 0.8731175355560e-01, 0.6125413585489e-08, 0.1513386538915e+01, 0.7605151500000e-01, 0.6035825038187e-08, 0.1983509168227e+01, 0.9846002785331e+00, 0.4331123462303e-08, 0.2782892992807e+01, 0.4297791515992e+00, 0.4681107685143e-08, 0.5337232886836e+01, 0.2127790306879e+00, 0.4669105829655e-08, 0.5837133792160e+01, 0.2138191288687e+00, 0.5138823602365e-08, 0.3080560200507e+01, 0.7233337363710e-01, 0.4615856664534e-08, 0.1661747897471e+01, 0.8603097737811e+00, 0.4496916702197e-08, 0.2112508027068e+01, 0.7381754420900e-01, 0.4278479042945e-08, 0.5716528462627e+01, 0.7574578717200e-01, 0.3840525503932e-08, 0.6424172726492e+00, 0.3407705765729e+00, 0.4866636509685e-08, 0.4919244697715e+01, 0.7722995774390e-01, 0.3526100639296e-08, 0.2550821052734e+01, 0.6225157782540e-01, 0.3939558488075e-08, 0.3939331491710e+01, 0.5268983110410e-01, 0.4041268772576e-08, 0.2275337571218e+01, 0.3503323232942e+00, 0.3948761842853e-08, 0.1999324200790e+01, 0.1451108196653e+00, 0.3258394550029e-08, 0.9121001378200e+00, 0.5296435984654e+00, 0.3257897048761e-08, 0.3428428660869e+01, 0.5297383457582e+00, 0.3842559031298e-08, 0.6132927720035e+01, 0.9098186128426e+00, 0.3109920095448e-08, 0.7693650193003e+00, 0.3932462625300e-02, 0.3132237775119e-08, 0.3621293854908e+01, 0.2346394437820e+00, 0.3942189421510e-08, 0.4841863659733e+01, 0.3180992042600e-02, 0.3796972285340e-08, 0.1814174994268e+01, 0.1862120789403e+00, 0.3995640233688e-08, 0.1386990406091e+01, 0.4549093064213e+00, 0.2875013727414e-08, 0.9178318587177e+00, 0.1905464808669e+01, 0.3073719932844e-08, 0.2688923811835e+01, 0.3628624111593e+00, 0.2731016580075e-08, 0.1188259127584e+01, 0.2131850110243e+00, 0.2729549896546e-08, 0.3702160634273e+01, 0.2134131485323e+00, 0.3339372892449e-08, 0.7199163960331e+00, 0.2007689919132e+00, 0.2898833764204e-08, 0.1916709364999e+01, 0.5291709230214e+00, 0.2894536549362e-08, 0.2424043195547e+01, 0.5302110212022e+00, 0.3096872473843e-08, 0.4445894977497e+01, 0.2976424921901e+00, 0.2635672326810e-08, 0.3814366984117e+01, 0.1485980103780e+01, 0.3649302697001e-08, 0.2924200596084e+01, 0.6044726378023e+00, 0.3127954585895e-08, 0.1842251648327e+01, 0.1084620721060e+00, 0.2616040173947e-08, 0.4155841921984e+01, 0.1258454114666e+01, 0.2597395859860e-08, 0.1158045978874e+00, 0.2103781122809e+00, 0.2593286172210e-08, 0.4771850408691e+01, 0.2162200472757e+00, 0.2481823585747e-08, 0.4608842558889e+00, 0.1062562936266e+01, 0.2742219550725e-08, 0.1538781127028e+01, 0.5651155736444e+00, 0.3199558469610e-08, 0.3226647822878e+00, 0.7036329877322e+00, 0.2666088542957e-08, 0.1967991731219e+00, 0.1400015846597e+00, 0.2397067430580e-08, 0.3707036669873e+01, 0.2125476091956e+00, 0.2376570772738e-08, 0.1182086628042e+01, 0.2140505503610e+00, 0.2547228007887e-08, 0.4906256820629e+01, 0.1534957940063e+00, 0.2265575594114e-08, 0.3414949866857e+01, 0.2235935264888e+00, 0.2464381430585e-08, 0.4599122275378e+01, 0.2091065926078e+00, 0.2433408527044e-08, 0.2830751145445e+00, 0.2174915669488e+00, 0.2443605509076e-08, 0.4212046432538e+01, 0.1739420156204e+00, 0.2319779262465e-08, 0.9881978408630e+00, 0.7530171478090e-01, 0.2284622835465e-08, 0.5565347331588e+00, 0.7426161660010e-01, 0.2467268750783e-08, 0.5655708150766e+00, 0.2526561439362e+00, 0.2808513492782e-08, 0.1418405053408e+01, 0.5636314030725e+00, 0.2329528932532e-08, 0.4069557545675e+01, 0.1056200952181e+01, 0.9698639532817e-09, 0.1074134313634e+01, 0.7826370942180e+02 }; /* SSB-to-Sun, T^0, Y */ static const double s0y[] = { 0.4955392320126e-02, 0.2170467313679e+01, 0.5296909721118e+00, 0.2722325167392e-02, 0.2444433682196e+01, 0.2132990797783e+00, 0.1546579925346e-02, 0.5992779281546e+00, 0.3813291813120e-01, 0.8363140252966e-03, 0.7687356310801e+00, 0.7478166569050e-01, 0.3385792683603e-03, 0.0000000000000e+00, 0.0000000000000e+00, 0.1201192221613e-03, 0.2520035601514e+01, 0.1059381944224e+01, 0.7587125720554e-04, 0.1669954006449e+01, 0.4265981595566e+00, 0.1964155361250e-04, 0.5707743963343e+01, 0.2061856251104e+00, 0.1891900364909e-04, 0.2320960679937e+01, 0.2204125344462e+00, 0.1937373433356e-04, 0.3226940689555e+01, 0.1495633313810e+00, 0.1437139941351e-04, 0.2301626908096e+01, 0.5225775174439e+00, 0.1406267683099e-04, 0.5188579265542e+01, 0.5368044267797e+00, 0.1178703080346e-04, 0.5489483248476e+01, 0.7626583626240e-01, 0.8079835186041e-05, 0.1683751835264e+01, 0.3664874755930e-01, 0.7623253594652e-05, 0.2656400462961e+01, 0.3961708870310e-01, 0.6248667483971e-05, 0.4992775362055e+01, 0.7329749511860e-01, 0.4366353695038e-05, 0.2869706279678e+01, 0.1589072916335e+01, 0.3829101568895e-05, 0.3572131359950e+01, 0.7113454667900e-02, 0.3175733773908e-05, 0.4535372530045e+01, 0.4194847048887e+00, 0.3092437902159e-05, 0.9230153317909e+00, 0.6398972393349e+00, 0.2874168812154e-05, 0.3363143761101e+01, 0.1102062672231e+00, 0.3040119321826e-05, 0.3324250895675e+01, 0.6283075850446e+01, 0.2699723308006e-05, 0.2917882441928e+00, 0.1030928125552e+00, 0.2134832683534e-05, 0.4220997202487e+01, 0.3163918923335e+00, 0.1770412139433e-05, 0.4747318496462e+01, 0.1021328554739e+02, 0.1377264209373e-05, 0.4305058462401e+00, 0.1484170571900e-02, 0.1127814538960e-05, 0.8538177240740e+00, 0.6327837846670e+00, 0.1055608090130e-05, 0.1551800742580e+01, 0.4337116142245e+00, 0.9802673861420e-06, 0.1459646735377e+01, 0.1052268489556e+01, 0.1090329461951e-05, 0.1587351228711e+01, 0.1162474756779e+01, 0.6959590025090e-06, 0.5534442628766e+01, 0.1066495398892e+01, 0.5664914529542e-06, 0.6030673003297e+01, 0.9491756770005e+00, 0.6607787763599e-06, 0.4989507233927e+01, 0.8460828644453e+00, 0.6269725742838e-06, 0.4222951804572e+01, 0.1480791608091e+00, 0.6301889697863e-06, 0.5444316669126e+01, 0.2243449970715e+00, 0.4891042662861e-06, 0.1490552839784e+01, 0.3340612434717e+01, 0.3457083123290e-06, 0.3030475486049e+01, 0.3516457698740e-01, 0.3032559967314e-06, 0.2652038793632e+01, 0.1104591729320e-01, 0.2841133988903e-06, 0.1276744786829e+01, 0.4110125927500e-01, 0.2855564444432e-06, 0.2143368674733e+01, 0.1510475019529e+00, 0.2765157135038e-06, 0.5444186109077e+01, 0.6373574839730e-01, 0.2382312465034e-06, 0.2190521137593e+01, 0.2275259891141e+00, 0.2808060365077e-06, 0.5735195064841e+01, 0.2535050500000e-01, 0.2332175234405e-06, 0.9481985524859e-01, 0.7181332454670e-01, 0.2322488199659e-06, 0.5180499361533e+01, 0.8582758298370e-01, 0.1881850258423e-06, 0.3219788273885e+01, 0.2118763888447e+01, 0.2196111392808e-06, 0.2366941159761e+01, 0.2968341143800e-02, 0.2183810335519e-06, 0.4825445110915e+01, 0.7775000683430e-01, 0.2002733093326e-06, 0.2457148995307e+01, 0.2093666171530e+00, 0.1967111767229e-06, 0.5586291545459e+01, 0.2172315424036e+00, 0.1568473250543e-06, 0.3708003123320e+01, 0.7429900518901e+00, 0.1852528314300e-06, 0.4310638151560e+01, 0.2022531624851e+00, 0.1832111226447e-06, 0.1494665322656e+01, 0.3235053470014e+00, 0.1746805502310e-06, 0.1451378500784e+01, 0.1385174140878e+00, 0.1555730966650e-06, 0.1068040418198e+01, 0.7358765972222e+00, 0.1554883462559e-06, 0.2442579035461e+01, 0.5154640627760e+00, 0.1638380568746e-06, 0.2597913420625e+00, 0.8531963191132e+00, 0.1159938593640e-06, 0.5834512021280e+01, 0.1990721704425e+00, 0.1083427965695e-06, 0.5054033177950e+01, 0.5439178814476e+00, 0.1156480369431e-06, 0.5325677432457e+01, 0.5257585094865e+00, 0.1141308860095e-06, 0.2153403923857e+01, 0.5336234347371e+00, 0.7913146470946e-07, 0.8642846847027e+00, 0.1478866649112e+01, 0.7439752463733e-07, 0.1970628496213e+01, 0.2164800718209e+00, 0.7280277104079e-07, 0.6073307250609e+01, 0.2101180877357e+00, 0.8319567719136e-07, 0.1954371928334e+01, 0.1692165728891e+01, 0.7137705549290e-07, 0.8904989440909e+00, 0.4155522422634e+00, 0.6900825396225e-07, 0.2825717714977e+01, 0.1173197218910e+00, 0.7245757216635e-07, 0.2481677513331e+01, 0.1265567569334e+01, 0.6961165696255e-07, 0.1292955312978e+01, 0.9562891316684e+00, 0.7571804456890e-07, 0.3427517575069e+01, 0.1422690933580e-01, 0.6605425721904e-07, 0.8052192701492e+00, 0.6470106940028e+00, 0.7375477357248e-07, 0.1705076390088e+01, 0.1581959461667e+01, 0.7041664951470e-07, 0.4848356967891e+00, 0.9597935788730e-01, 0.6322199535763e-07, 0.3878069473909e+01, 0.7084920306520e-01, 0.5244380279191e-07, 0.2645560544125e+01, 0.5265099800692e+00, 0.5143125704988e-07, 0.4834486101370e+01, 0.5328719641544e+00, 0.5871866319373e-07, 0.7981472548900e+00, 0.7871412831580e-01, 0.6300822573871e-07, 0.5979398788281e+01, 0.2608790314060e+02, 0.6062154271548e-07, 0.4108655402756e+01, 0.1114304132498e+00, 0.4361912339976e-07, 0.5322624319280e+01, 0.1375773836557e+01, 0.4417005920067e-07, 0.6240817359284e+01, 0.2770348281756e+00, 0.4686806749936e-07, 0.3214977301156e+01, 0.1143987543936e+00, 0.3758892132305e-07, 0.5879809634765e+01, 0.1596186371003e+01, 0.5151351332319e-07, 0.2893377688007e+00, 0.2228608264996e+00, 0.4554683578572e-07, 0.5475427144122e+01, 0.1465949902372e+00, 0.3442381385338e-07, 0.5992034796640e+01, 0.5070101000000e-01, 0.2831093954933e-07, 0.5367350273914e+01, 0.3092784376656e+00, 0.3756267090084e-07, 0.5758171285420e+01, 0.4903339079539e+00, 0.2816374679892e-07, 0.1863718700923e+01, 0.2991266627620e+00, 0.3419307025569e-07, 0.9524347534130e+00, 0.3518164938661e+00, 0.2904250494239e-07, 0.5304471615602e+01, 0.1099462426779e+00, 0.2471734511206e-07, 0.1297069793530e+01, 0.6256703299991e+00, 0.2539620831872e-07, 0.3281126083375e+01, 0.1256615170089e+02, 0.2281017868007e-07, 0.1829122133165e+01, 0.6681224869435e+01, 0.2275319473335e-07, 0.5797198160181e+01, 0.3932462625300e-02, 0.2547755368442e-07, 0.4752697708330e+01, 0.1169588211447e+01, 0.2285979669317e-07, 0.1223205292886e+01, 0.1045155034888e+01, 0.1913386560994e-07, 0.1757532993389e+01, 0.1155361302111e+01, 0.1809020525147e-07, 0.4246116108791e+01, 0.3368040641550e-01, 0.1649213300201e-07, 0.1445162890627e+01, 0.4408250688924e+00, 0.1834972793932e-07, 0.1126917567225e+01, 0.4452511715700e-02, 0.1439550648138e-07, 0.6160756834764e+01, 0.9420622223326e+00, 0.1487645457041e-07, 0.4358761931792e+01, 0.4123712502208e+00, 0.1731729516660e-07, 0.6134456753344e+01, 0.2108507877249e+00, 0.1717747163567e-07, 0.1898186084455e+01, 0.2157473718317e+00, 0.1418190430374e-07, 0.4180286741266e+01, 0.6521991896920e-01, 0.1404844134873e-07, 0.7654053565412e-01, 0.4258542984690e-01, 0.1409842846538e-07, 0.4418612420312e+01, 0.2258291676434e+00, 0.1090948346291e-07, 0.1260615686131e+01, 0.4226656969313e+00, 0.1357577323612e-07, 0.3558248818690e+01, 0.7923417740620e-01, 0.1018154061960e-07, 0.5676087241256e+01, 0.1456308687557e+00, 0.1412073972109e-07, 0.8394392632422e+00, 0.1525316725248e+00, 0.1030938326496e-07, 0.1653593274064e+01, 0.1795258541446e+01, 0.1180081567104e-07, 0.1285802592036e+01, 0.7032915397480e-01, 0.9708510575650e-08, 0.7631889488106e+00, 0.8434341241180e-01, 0.9637689663447e-08, 0.4630642649176e+01, 0.1272681024002e+01, 0.1068910429389e-07, 0.5294934032165e+01, 0.2123349582968e+00, 0.1063716179336e-07, 0.2736266800832e+01, 0.2142632012598e+00, 0.1234858713814e-07, 0.1302891146570e+01, 0.1847279083684e+00, 0.8912631189738e-08, 0.3570415993621e+01, 0.2648454860559e+01, 0.1036378285534e-07, 0.4236693440949e+01, 0.1370332435159e+00, 0.9667798501561e-08, 0.2960768892398e+01, 0.4376440768498e+00, 0.8108314201902e-08, 0.6987781646841e+00, 0.2880807454688e+00, 0.7648364324628e-08, 0.2499017863863e+01, 0.2037373330570e+00, 0.7286136828406e-08, 0.3787426951665e+01, 0.1129145838217e+00, 0.9448237743913e-08, 0.2694354332983e+01, 0.5272426800584e+00, 0.9374276106428e-08, 0.4787121277064e+01, 0.5321392641652e+00, 0.7100226287462e-08, 0.3530238792101e+00, 0.6288513220417e+00, 0.9253056659571e-08, 0.1399478925664e+01, 0.1606092486742e+00, 0.6636432145504e-08, 0.3479575438447e+01, 0.1368660381889e+01, 0.6469975312932e-08, 0.1383669964800e+01, 0.2008557621224e+01, 0.7335849729765e-08, 0.1243698166898e+01, 0.9561746721300e-02, 0.8743421205855e-08, 0.3776164289301e+01, 0.3801276407308e+00, 0.5993635744494e-08, 0.5627122113596e+01, 0.2042657109477e+02, 0.5981008479693e-08, 0.1674336636752e+01, 0.2111650433779e+01, 0.6188535145838e-08, 0.5214925208672e+01, 0.4305306221819e+00, 0.6596074017566e-08, 0.2907653268124e+01, 0.1063314406849e+01, 0.6630815126226e-08, 0.2127643669658e+01, 0.8389694097774e+00, 0.6156772830040e-08, 0.5082160803295e+01, 0.4234171675140e+00, 0.6446960563014e-08, 0.1872100916905e+01, 0.5287268506303e+00, 0.6429324424668e-08, 0.5610276103577e+01, 0.5306550935933e+00, 0.6302232396465e-08, 0.1592152049607e+01, 0.1253008786510e-01, 0.6399244436159e-08, 0.2746214421532e+01, 0.5217580628120e+02, 0.5474965172558e-08, 0.2317666374383e+01, 0.2221856701002e+01, 0.5339293190692e-08, 0.1084724961156e+01, 0.7466759693650e-01, 0.5334733683389e-08, 0.3594106067745e+01, 0.7489573444450e-01, 0.5392665782110e-08, 0.5630254365606e+01, 0.1055449481598e+01, 0.6682075673789e-08, 0.1518480041732e+01, 0.2213766559277e+00, 0.5079130495960e-08, 0.2739765115711e+01, 0.2132517061319e+00, 0.5077759793261e-08, 0.5290711290094e+01, 0.2133464534247e+00, 0.4832037368310e-08, 0.1404473217200e+01, 0.7160067364790e-01, 0.6463279674802e-08, 0.6038381695210e+01, 0.2209183458640e-01, 0.6240592771560e-08, 0.1290170653666e+01, 0.3306188016693e+00, 0.4672013521493e-08, 0.3261895939677e+01, 0.7796265773310e-01, 0.6500650750348e-08, 0.1154522312095e+01, 0.3884652414254e+00, 0.6344161389053e-08, 0.6206111545062e+01, 0.7605151500000e-01, 0.4682518370646e-08, 0.5409118796685e+01, 0.1073608853559e+01, 0.5329460015591e-08, 0.1202985784864e+01, 0.7287631425543e+00, 0.5701588675898e-08, 0.4098715257064e+01, 0.8731175355560e-01, 0.6030690867211e-08, 0.4132033218460e+00, 0.9846002785331e+00, 0.4336256312655e-08, 0.1211415991827e+01, 0.4297791515992e+00, 0.4688498808975e-08, 0.3765479072409e+01, 0.2127790306879e+00, 0.4675578609335e-08, 0.4265540037226e+01, 0.2138191288687e+00, 0.4225578112158e-08, 0.5237566010676e+01, 0.3407705765729e+00, 0.5139422230028e-08, 0.1507173079513e+01, 0.7233337363710e-01, 0.4619995093571e-08, 0.9023957449848e-01, 0.8603097737811e+00, 0.4494776255461e-08, 0.5414930552139e+00, 0.7381754420900e-01, 0.4274026276788e-08, 0.4145735303659e+01, 0.7574578717200e-01, 0.5018141789353e-08, 0.3344408829055e+01, 0.3180992042600e-02, 0.4866163952181e-08, 0.3348534657607e+01, 0.7722995774390e-01, 0.4111986020501e-08, 0.4198823597220e+00, 0.1451108196653e+00, 0.3356142784950e-08, 0.5609144747180e+01, 0.1274714967946e+00, 0.4070575554551e-08, 0.7028411059224e+00, 0.3503323232942e+00, 0.3257451857278e-08, 0.5624697983086e+01, 0.5296435984654e+00, 0.3256973703026e-08, 0.1857842076707e+01, 0.5297383457582e+00, 0.3830771508640e-08, 0.4562887279931e+01, 0.9098186128426e+00, 0.3725024005962e-08, 0.2358058692652e+00, 0.1084620721060e+00, 0.3136763921756e-08, 0.2049731526845e+01, 0.2346394437820e+00, 0.3795147256194e-08, 0.2432356296933e+00, 0.1862120789403e+00, 0.2877342229911e-08, 0.5631101279387e+01, 0.1905464808669e+01, 0.3076931798805e-08, 0.1117615737392e+01, 0.3628624111593e+00, 0.2734765945273e-08, 0.5899826516955e+01, 0.2131850110243e+00, 0.2733405296885e-08, 0.2130562964070e+01, 0.2134131485323e+00, 0.2898552353410e-08, 0.3462387048225e+00, 0.5291709230214e+00, 0.2893736103681e-08, 0.8534352781543e+00, 0.5302110212022e+00, 0.3095717734137e-08, 0.2875061429041e+01, 0.2976424921901e+00, 0.2636190425832e-08, 0.2242512846659e+01, 0.1485980103780e+01, 0.3645512095537e-08, 0.1354016903958e+01, 0.6044726378023e+00, 0.2808173547723e-08, 0.6705114365631e-01, 0.6225157782540e-01, 0.2625012866888e-08, 0.4775705748482e+01, 0.5268983110410e-01, 0.2572233995651e-08, 0.2638924216139e+01, 0.1258454114666e+01, 0.2604238824792e-08, 0.4826358927373e+01, 0.2103781122809e+00, 0.2596886385239e-08, 0.3200388483118e+01, 0.2162200472757e+00, 0.3228057304264e-08, 0.5384848409563e+01, 0.2007689919132e+00, 0.2481601798252e-08, 0.5173373487744e+01, 0.1062562936266e+01, 0.2745977498864e-08, 0.6250966149853e+01, 0.5651155736444e+00, 0.2669878833811e-08, 0.4906001352499e+01, 0.1400015846597e+00, 0.3203986611711e-08, 0.5034333010005e+01, 0.7036329877322e+00, 0.3354961227212e-08, 0.6108262423137e+01, 0.4549093064213e+00, 0.2400407324558e-08, 0.2135399294955e+01, 0.2125476091956e+00, 0.2379905859802e-08, 0.5893721933961e+01, 0.2140505503610e+00, 0.2550844302187e-08, 0.3331940762063e+01, 0.1534957940063e+00, 0.2268824211001e-08, 0.1843418461035e+01, 0.2235935264888e+00, 0.2464700891204e-08, 0.3029548547230e+01, 0.2091065926078e+00, 0.2436814726024e-08, 0.4994717970364e+01, 0.2174915669488e+00, 0.2443623894745e-08, 0.2645102591375e+01, 0.1739420156204e+00, 0.2318701783838e-08, 0.5700547397897e+01, 0.7530171478090e-01, 0.2284448700256e-08, 0.5268898905872e+01, 0.7426161660010e-01, 0.2468848123510e-08, 0.5276280575078e+01, 0.2526561439362e+00, 0.2814052350303e-08, 0.6130168623475e+01, 0.5636314030725e+00, 0.2243662755220e-08, 0.6631692457995e+00, 0.8886590321940e-01, 0.2330795855941e-08, 0.2499435487702e+01, 0.1056200952181e+01, 0.9757679038404e-09, 0.5796846023126e+01, 0.7826370942180e+02 }; /* SSB-to-Sun, T^0, Z */ static const double s0z[] = { 0.1181255122986e-03, 0.4607918989164e+00, 0.2132990797783e+00, 0.1127777651095e-03, 0.4169146331296e+00, 0.5296909721118e+00, 0.4777754401806e-04, 0.4582657007130e+01, 0.3813291813120e-01, 0.1129354285772e-04, 0.5758735142480e+01, 0.7478166569050e-01, -0.1149543637123e-04, 0.0000000000000e+00, 0.0000000000000e+00, 0.3298730512306e-05, 0.5978801994625e+01, 0.4265981595566e+00, 0.2733376706079e-05, 0.7665413691040e+00, 0.1059381944224e+01, 0.9426389657270e-06, 0.3710201265838e+01, 0.2061856251104e+00, 0.8187517749552e-06, 0.3390675605802e+00, 0.2204125344462e+00, 0.4080447871819e-06, 0.4552296640088e+00, 0.5225775174439e+00, 0.3169973017028e-06, 0.3445455899321e+01, 0.5368044267797e+00, 0.2438098615549e-06, 0.5664675150648e+01, 0.3664874755930e-01, 0.2601897517235e-06, 0.1931894095697e+01, 0.1495633313810e+00, 0.2314558080079e-06, 0.3666319115574e+00, 0.3961708870310e-01, 0.1962549548002e-06, 0.3167411699020e+01, 0.7626583626240e-01, 0.2180518287925e-06, 0.1544420746580e+01, 0.7113454667900e-02, 0.1451382442868e-06, 0.1583756740070e+01, 0.1102062672231e+00, 0.1358439007389e-06, 0.5239941758280e+01, 0.6398972393349e+00, 0.1050585898028e-06, 0.2266958352859e+01, 0.3163918923335e+00, 0.1050029870186e-06, 0.2711495250354e+01, 0.4194847048887e+00, 0.9934920679800e-07, 0.1116208151396e+01, 0.1589072916335e+01, 0.1048395331560e-06, 0.3408619600206e+01, 0.1021328554739e+02, 0.8370147196668e-07, 0.3810459401087e+01, 0.2535050500000e-01, 0.7989856510998e-07, 0.3769910473647e+01, 0.7329749511860e-01, 0.5441221655233e-07, 0.2416994903374e+01, 0.1030928125552e+00, 0.4610812906784e-07, 0.5858503336994e+01, 0.4337116142245e+00, 0.3923022803444e-07, 0.3354170010125e+00, 0.1484170571900e-02, 0.2610725582128e-07, 0.5410600646324e+01, 0.6327837846670e+00, 0.2455279767721e-07, 0.6120216681403e+01, 0.1162474756779e+01, 0.2375530706525e-07, 0.6055443426143e+01, 0.1052268489556e+01, 0.1782967577553e-07, 0.3146108708004e+01, 0.8460828644453e+00, 0.1581687095238e-07, 0.6255496089819e+00, 0.3340612434717e+01, 0.1594657672461e-07, 0.3782604300261e+01, 0.1066495398892e+01, 0.1563448615040e-07, 0.1997775733196e+01, 0.2022531624851e+00, 0.1463624258525e-07, 0.1736316792088e+00, 0.3516457698740e-01, 0.1331585056673e-07, 0.4331941830747e+01, 0.9491756770005e+00, 0.1130634557637e-07, 0.6152017751825e+01, 0.2968341143800e-02, 0.1028949607145e-07, 0.2101792614637e+00, 0.2275259891141e+00, 0.1024074971618e-07, 0.4071833211074e+01, 0.5070101000000e-01, 0.8826956060303e-08, 0.4861633688145e+00, 0.2093666171530e+00, 0.8572230171541e-08, 0.5268190724302e+01, 0.4110125927500e-01, 0.7649332643544e-08, 0.5134543417106e+01, 0.2608790314060e+02, 0.8581673291033e-08, 0.2920218146681e+01, 0.1480791608091e+00, 0.8430589300938e-08, 0.3604576619108e+01, 0.2172315424036e+00, 0.7776165501012e-08, 0.3772942249792e+01, 0.6373574839730e-01, 0.8311070234408e-08, 0.6200412329888e+01, 0.3235053470014e+00, 0.6927365212582e-08, 0.4543353113437e+01, 0.8531963191132e+00, 0.6791574208598e-08, 0.2882188406238e+01, 0.7181332454670e-01, 0.5593100811839e-08, 0.1776646892780e+01, 0.7429900518901e+00, 0.4553381853021e-08, 0.3949617611240e+01, 0.7775000683430e-01, 0.5758000450068e-08, 0.3859251775075e+01, 0.1990721704425e+00, 0.4281283457133e-08, 0.1466294631206e+01, 0.2118763888447e+01, 0.4206935661097e-08, 0.5421776011706e+01, 0.1104591729320e-01, 0.4213751641837e-08, 0.3412048993322e+01, 0.2243449970715e+00, 0.5310506239878e-08, 0.5421641370995e+00, 0.5154640627760e+00, 0.3827450341320e-08, 0.8887314524995e+00, 0.1510475019529e+00, 0.4292435241187e-08, 0.1405043757194e+01, 0.1422690933580e-01, 0.3189780702289e-08, 0.1060049293445e+01, 0.1173197218910e+00, 0.3226611928069e-08, 0.6270858897442e+01, 0.2164800718209e+00, 0.2893897608830e-08, 0.5117563223301e+01, 0.6470106940028e+00, 0.3239852024578e-08, 0.4079092237983e+01, 0.2101180877357e+00, 0.2956892222200e-08, 0.1594917021704e+01, 0.3092784376656e+00, 0.2980177912437e-08, 0.5258787667564e+01, 0.4155522422634e+00, 0.3163725690776e-08, 0.3854589225479e+01, 0.8582758298370e-01, 0.2662262399118e-08, 0.3561326430187e+01, 0.5257585094865e+00, 0.2766689135729e-08, 0.3180732086830e+00, 0.1385174140878e+00, 0.2411600278464e-08, 0.3324798335058e+01, 0.5439178814476e+00, 0.2483527695131e-08, 0.4169069291947e+00, 0.5336234347371e+00, 0.7788777276590e-09, 0.1900569908215e+01, 0.5217580628120e+02 }; /* SSB-to-Sun, T^1, X */ static const double s1x[] = { -0.1296310361520e-07, 0.0000000000000e+00, 0.0000000000000e+00, 0.8975769009438e-08, 0.1128891609250e+01, 0.4265981595566e+00, 0.7771113441307e-08, 0.2706039877077e+01, 0.2061856251104e+00, 0.7538303866642e-08, 0.2191281289498e+01, 0.2204125344462e+00, 0.6061384579336e-08, 0.3248167319958e+01, 0.1059381944224e+01, 0.5726994235594e-08, 0.5569981398610e+01, 0.5225775174439e+00, 0.5616492836424e-08, 0.5057386614909e+01, 0.5368044267797e+00, 0.1010881584769e-08, 0.3473577116095e+01, 0.7113454667900e-02, 0.7259606157626e-09, 0.3651858593665e+00, 0.6398972393349e+00, 0.8755095026935e-09, 0.1662835408338e+01, 0.4194847048887e+00, 0.5370491182812e-09, 0.1327673878077e+01, 0.4337116142245e+00, 0.5743773887665e-09, 0.4250200846687e+01, 0.2132990797783e+00, 0.4408103140300e-09, 0.3598752574277e+01, 0.1589072916335e+01, 0.3101892374445e-09, 0.4887822983319e+01, 0.1052268489556e+01, 0.3209453713578e-09, 0.9702272295114e+00, 0.5296909721118e+00, 0.3017228286064e-09, 0.5484462275949e+01, 0.1066495398892e+01, 0.3200700038601e-09, 0.2846613338643e+01, 0.1495633313810e+00, 0.2137637279911e-09, 0.5692163292729e+00, 0.3163918923335e+00, 0.1899686386727e-09, 0.2061077157189e+01, 0.2275259891141e+00, 0.1401994545308e-09, 0.4177771136967e+01, 0.1102062672231e+00, 0.1578057810499e-09, 0.5782460597335e+01, 0.7626583626240e-01, 0.1237713253351e-09, 0.5705900866881e+01, 0.5154640627760e+00, 0.1313076837395e-09, 0.5163438179576e+01, 0.3664874755930e-01, 0.1184963304860e-09, 0.3054804427242e+01, 0.6327837846670e+00, 0.1238130878565e-09, 0.2317292575962e+01, 0.3961708870310e-01, 0.1015959527736e-09, 0.2194643645526e+01, 0.7329749511860e-01, 0.9017954423714e-10, 0.2868603545435e+01, 0.1990721704425e+00, 0.8668024955603e-10, 0.4923849675082e+01, 0.5439178814476e+00, 0.7756083930103e-10, 0.3014334135200e+01, 0.9491756770005e+00, 0.7536503401741e-10, 0.2704886279769e+01, 0.1030928125552e+00, 0.5483308679332e-10, 0.6010983673799e+01, 0.8531963191132e+00, 0.5184339620428e-10, 0.1952704573291e+01, 0.2093666171530e+00, 0.5108658712030e-10, 0.2958575786649e+01, 0.2172315424036e+00, 0.5019424524650e-10, 0.1736317621318e+01, 0.2164800718209e+00, 0.4909312625978e-10, 0.3167216416257e+01, 0.2101180877357e+00, 0.4456638901107e-10, 0.7697579923471e+00, 0.3235053470014e+00, 0.4227030350925e-10, 0.3490910137928e+01, 0.6373574839730e-01, 0.4095456040093e-10, 0.5178888984491e+00, 0.6470106940028e+00, 0.4990537041422e-10, 0.3323887668974e+01, 0.1422690933580e-01, 0.4321170010845e-10, 0.4288484987118e+01, 0.7358765972222e+00, 0.3544072091802e-10, 0.6021051579251e+01, 0.5265099800692e+00, 0.3480198638687e-10, 0.4600027054714e+01, 0.5328719641544e+00, 0.3440287244435e-10, 0.4349525970742e+01, 0.8582758298370e-01, 0.3330628322713e-10, 0.2347391505082e+01, 0.1104591729320e-01, 0.2973060707184e-10, 0.4789409286400e+01, 0.5257585094865e+00, 0.2932606766089e-10, 0.5831693799927e+01, 0.5336234347371e+00, 0.2876972310953e-10, 0.2692638514771e+01, 0.1173197218910e+00, 0.2827488278556e-10, 0.2056052487960e+01, 0.2022531624851e+00, 0.2515028239756e-10, 0.7411863262449e+00, 0.9597935788730e-01, 0.2853033744415e-10, 0.3948481024894e+01, 0.2118763888447e+01 }; /* SSB-to-Sun, T^1, Y */ static const double s1y[] = { 0.8989047573576e-08, 0.5840593672122e+01, 0.4265981595566e+00, 0.7815938401048e-08, 0.1129664707133e+01, 0.2061856251104e+00, 0.7550926713280e-08, 0.6196589104845e+00, 0.2204125344462e+00, 0.6056556925895e-08, 0.1677494667846e+01, 0.1059381944224e+01, 0.5734142698204e-08, 0.4000920852962e+01, 0.5225775174439e+00, 0.5614341822459e-08, 0.3486722577328e+01, 0.5368044267797e+00, 0.1028678147656e-08, 0.1877141024787e+01, 0.7113454667900e-02, 0.7270792075266e-09, 0.5077167301739e+01, 0.6398972393349e+00, 0.8734141726040e-09, 0.9069550282609e-01, 0.4194847048887e+00, 0.5377371402113e-09, 0.6039381844671e+01, 0.4337116142245e+00, 0.4729719431571e-09, 0.2153086311760e+01, 0.2132990797783e+00, 0.4458052820973e-09, 0.5059830025565e+01, 0.5296909721118e+00, 0.4406855467908e-09, 0.2027971692630e+01, 0.1589072916335e+01, 0.3101659310977e-09, 0.3317677981860e+01, 0.1052268489556e+01, 0.3016749232545e-09, 0.3913703482532e+01, 0.1066495398892e+01, 0.3198541352656e-09, 0.1275513098525e+01, 0.1495633313810e+00, 0.2142065389871e-09, 0.5301351614597e+01, 0.3163918923335e+00, 0.1902615247592e-09, 0.4894943352736e+00, 0.2275259891141e+00, 0.1613410990871e-09, 0.2449891130437e+01, 0.1102062672231e+00, 0.1576992165097e-09, 0.4211421447633e+01, 0.7626583626240e-01, 0.1241637259894e-09, 0.4140803368133e+01, 0.5154640627760e+00, 0.1313974830355e-09, 0.3591920305503e+01, 0.3664874755930e-01, 0.1181697118258e-09, 0.1506314382788e+01, 0.6327837846670e+00, 0.1238239742779e-09, 0.7461405378404e+00, 0.3961708870310e-01, 0.1010107068241e-09, 0.6271010795475e+00, 0.7329749511860e-01, 0.9226316616509e-10, 0.1259158839583e+01, 0.1990721704425e+00, 0.8664946419555e-10, 0.3353244696934e+01, 0.5439178814476e+00, 0.7757230468978e-10, 0.1447677295196e+01, 0.9491756770005e+00, 0.7693168628139e-10, 0.1120509896721e+01, 0.1030928125552e+00, 0.5487897454612e-10, 0.4439380426795e+01, 0.8531963191132e+00, 0.5196118677218e-10, 0.3788856619137e+00, 0.2093666171530e+00, 0.5110853339935e-10, 0.1386879372016e+01, 0.2172315424036e+00, 0.5027804534813e-10, 0.1647881805466e+00, 0.2164800718209e+00, 0.4922485922674e-10, 0.1594315079862e+01, 0.2101180877357e+00, 0.6155599524400e-10, 0.0000000000000e+00, 0.0000000000000e+00, 0.4447147832161e-10, 0.5480720918976e+01, 0.3235053470014e+00, 0.4144691276422e-10, 0.1931371033660e+01, 0.6373574839730e-01, 0.4099950625452e-10, 0.5229611294335e+01, 0.6470106940028e+00, 0.5060541682953e-10, 0.1731112486298e+01, 0.1422690933580e-01, 0.4293615946300e-10, 0.2714571038925e+01, 0.7358765972222e+00, 0.3545659845763e-10, 0.4451041444634e+01, 0.5265099800692e+00, 0.3479112041196e-10, 0.3029385448081e+01, 0.5328719641544e+00, 0.3438516493570e-10, 0.2778507143731e+01, 0.8582758298370e-01, 0.3297341285033e-10, 0.7898709807584e+00, 0.1104591729320e-01, 0.2972585818015e-10, 0.3218785316973e+01, 0.5257585094865e+00, 0.2931707295017e-10, 0.4260731012098e+01, 0.5336234347371e+00, 0.2897198149403e-10, 0.1120753978101e+01, 0.1173197218910e+00, 0.2832293240878e-10, 0.4597682717827e+00, 0.2022531624851e+00, 0.2864348326612e-10, 0.2169939928448e+01, 0.9597935788730e-01, 0.2852714675471e-10, 0.2377659870578e+01, 0.2118763888447e+01 }; /* SSB-to-Sun, T^1, Z */ static const double s1z[] = { 0.5444220475678e-08, 0.1803825509310e+01, 0.2132990797783e+00, 0.3883412695596e-08, 0.4668616389392e+01, 0.5296909721118e+00, 0.1334341434551e-08, 0.0000000000000e+00, 0.0000000000000e+00, 0.3730001266883e-09, 0.5401405918943e+01, 0.2061856251104e+00, 0.2894929197956e-09, 0.4932415609852e+01, 0.2204125344462e+00, 0.2857950357701e-09, 0.3154625362131e+01, 0.7478166569050e-01, 0.2499226432292e-09, 0.3657486128988e+01, 0.4265981595566e+00, 0.1937705443593e-09, 0.5740434679002e+01, 0.1059381944224e+01, 0.1374894396320e-09, 0.1712857366891e+01, 0.5368044267797e+00, 0.1217248678408e-09, 0.2312090870932e+01, 0.5225775174439e+00, 0.7961052740870e-10, 0.5283368554163e+01, 0.3813291813120e-01, 0.4979225949689e-10, 0.4298290471860e+01, 0.4194847048887e+00, 0.4388552286597e-10, 0.6145515047406e+01, 0.7113454667900e-02, 0.2586835212560e-10, 0.3019448001809e+01, 0.6398972393349e+00 }; /* SSB-to-Sun, T^2, X */ static const double s2x[] = { 0.1603551636587e-11, 0.4404109410481e+01, 0.2061856251104e+00, 0.1556935889384e-11, 0.4818040873603e+00, 0.2204125344462e+00, 0.1182594414915e-11, 0.9935762734472e+00, 0.5225775174439e+00, 0.1158794583180e-11, 0.3353180966450e+01, 0.5368044267797e+00, 0.9597358943932e-12, 0.5567045358298e+01, 0.2132990797783e+00, 0.6511516579605e-12, 0.5630872420788e+01, 0.4265981595566e+00, 0.7419792747688e-12, 0.2156188581957e+01, 0.5296909721118e+00, 0.3951972655848e-12, 0.1981022541805e+01, 0.1059381944224e+01, 0.4478223877045e-12, 0.0000000000000e+00, 0.0000000000000e+00 }; /* SSB-to-Sun, T^2, Y */ static const double s2y[] = { 0.1609114495091e-11, 0.2831096993481e+01, 0.2061856251104e+00, 0.1560330784946e-11, 0.5193058213906e+01, 0.2204125344462e+00, 0.1183535479202e-11, 0.5707003443890e+01, 0.5225775174439e+00, 0.1158183066182e-11, 0.1782400404928e+01, 0.5368044267797e+00, 0.1032868027407e-11, 0.4036925452011e+01, 0.2132990797783e+00, 0.6540142847741e-12, 0.4058241056717e+01, 0.4265981595566e+00, 0.7305236491596e-12, 0.6175401942957e+00, 0.5296909721118e+00, -0.5580725052968e-12, 0.0000000000000e+00, 0.0000000000000e+00, 0.3946122651015e-12, 0.4108265279171e+00, 0.1059381944224e+01 }; /* SSB-to-Sun, T^2, Z */ static const double s2z[] = { 0.3749920358054e-12, 0.3230285558668e+01, 0.2132990797783e+00, 0.2735037220939e-12, 0.6154322683046e+01, 0.5296909721118e+00 }; /* Pointers to coefficient arrays, in x,y,z sets */ static const double *ce0[] = { e0x, e0y, e0z }, *ce1[] = { e1x, e1y, e1z }, *ce2[] = { e2x, e2y, e2z }, *cs0[] = { s0x, s0y, s0z }, *cs1[] = { s1x, s1y, s1z }, *cs2[] = { s2x, s2y, s2z }; const double *coeffs; /* Numbers of terms for each component of the model, in x,y,z sets */ static const int ne0[3] = {(int)(sizeof e0x / sizeof (double) / 3), (int)(sizeof e0y / sizeof (double) / 3), (int)(sizeof e0z / sizeof (double) / 3) }, ne1[3] = {(int)(sizeof e1x / sizeof (double) / 3), (int)(sizeof e1y / sizeof (double) / 3), (int)(sizeof e1z / sizeof (double) / 3) }, ne2[3] = {(int)(sizeof e2x / sizeof (double) / 3), (int)(sizeof e2y / sizeof (double) / 3), (int)(sizeof e2z / sizeof (double) / 3) }, ns0[3] = {(int)(sizeof s0x / sizeof (double) / 3), (int)(sizeof s0y / sizeof (double) / 3), (int)(sizeof s0z / sizeof (double) / 3) }, ns1[3] = {(int)(sizeof s1x / sizeof (double) / 3), (int)(sizeof s1y / sizeof (double) / 3), (int)(sizeof s1z / sizeof (double) / 3) }, ns2[3] = {(int)(sizeof s2x / sizeof (double) / 3), (int)(sizeof s2y / sizeof (double) / 3), (int)(sizeof s2z / sizeof (double) / 3) }; int nterms; /* Miscellaneous */ int jstat, i, j; double t, t2, xyz, xyzd, a, b, c, ct, p, cp, ph[3], vh[3], pb[3], vb[3], x, y, z; /*--------------------------------------------------------------------*/ /* Time since reference epoch, Julian years. */ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJY; t2 = t*t; /* Set status. */ jstat = fabs(t) <= 100.0 ? 0 : 1; /* X then Y then Z. */ for (i = 0; i < 3; i++) { /* Initialize position and velocity component. */ xyz = 0.0; xyzd = 0.0; /* ------------------------------------------------ */ /* Obtain component of Sun to Earth ecliptic vector */ /* ------------------------------------------------ */ /* Sun to Earth, T^0 terms. */ coeffs = ce0[i]; nterms = ne0[i]; for (j = 0; j < nterms; j++) { a = *coeffs++; b = *coeffs++; c = *coeffs++; p = b + c*t; xyz += a*cos(p); xyzd -= a*c*sin(p); } /* Sun to Earth, T^1 terms. */ coeffs = ce1[i]; nterms = ne1[i]; for (j = 0; j < nterms; j++) { a = *coeffs++; b = *coeffs++; c = *coeffs++; ct = c*t; p = b + ct; cp = cos(p); xyz += a*t*cp; xyzd += a*( cp - ct*sin(p) ); } /* Sun to Earth, T^2 terms. */ coeffs = ce2[i]; nterms = ne2[i]; for (j = 0; j < nterms; j++) { a = *coeffs++; b = *coeffs++; c = *coeffs++; ct = c*t; p = b + ct; cp = cos(p); xyz += a*t2*cp; xyzd += a*t*( 2.0*cp - ct*sin(p) ); } /* Heliocentric Earth position and velocity component. */ ph[i] = xyz; vh[i] = xyzd / ERFA_DJY; /* ------------------------------------------------ */ /* Obtain component of SSB to Earth ecliptic vector */ /* ------------------------------------------------ */ /* SSB to Sun, T^0 terms. */ coeffs = cs0[i]; nterms = ns0[i]; for (j = 0; j < nterms; j++) { a = *coeffs++; b = *coeffs++; c = *coeffs++; p = b + c*t; xyz += a*cos(p); xyzd -= a*c*sin(p); } /* SSB to Sun, T^1 terms. */ coeffs = cs1[i]; nterms = ns1[i]; for (j = 0; j < nterms; j++) { a = *coeffs++; b = *coeffs++; c = *coeffs++; ct = c*t; p = b + ct; cp = cos(p); xyz += a*t*cp; xyzd += a*(cp - ct*sin(p)); } /* SSB to Sun, T^2 terms. */ coeffs = cs2[i]; nterms = ns2[i]; for (j = 0; j < nterms; j++) { a = *coeffs++; b = *coeffs++; c = *coeffs++; ct = c*t; p = b + ct; cp = cos(p); xyz += a*t2*cp; xyzd += a*t*(2.0*cp - ct*sin(p)); } /* Barycentric Earth position and velocity component. */ pb[i] = xyz; vb[i] = xyzd / ERFA_DJY; /* Next Cartesian component. */ } /* Rotate from ecliptic to BCRS coordinates. */ x = ph[0]; y = ph[1]; z = ph[2]; pvh[0][0] = x + am12*y + am13*z; pvh[0][1] = am21*x + am22*y + am23*z; pvh[0][2] = am32*y + am33*z; x = vh[0]; y = vh[1]; z = vh[2]; pvh[1][0] = x + am12*y + am13*z; pvh[1][1] = am21*x + am22*y + am23*z; pvh[1][2] = am32*y + am33*z; x = pb[0]; y = pb[1]; z = pb[2]; pvb[0][0] = x + am12*y + am13*z; pvb[0][1] = am21*x + am22*y + am23*z; pvb[0][2] = am32*y + am33*z; x = vb[0]; y = vb[1]; z = vb[2]; pvb[1][0] = x + am12*y + am13*z; pvb[1][1] = am21*x + am22*y + am23*z; pvb[1][2] = am32*y + am33*z; /* Return the status. */ return jstat; } /*---------------------------------------------------------------------- ** ** ** Copyright (C) 2013-2015, NumFOCUS Foundation. ** All rights reserved. ** ** This library is derived, with permission, from the International ** Astronomical Union's "Standards of Fundamental Astronomy" library, ** available from http://www.iausofa.org. ** ** The ERFA version is intended to retain identical functionality to ** the SOFA library, but made distinct through different function and ** file names, as set out in the SOFA license conditions. The SOFA ** original has a role as a reference standard for the IAU and IERS, ** and consequently redistribution is permitted only in its unaltered ** state. The ERFA version is not subject to this restriction and ** therefore can be included in distributions which do not support the ** concept of "read only" software. ** ** Although the intent is to replicate the SOFA API (other than ** replacement of prefix names) and results (with the exception of ** bugs; any that are discovered will be fixed), SOFA is not ** responsible for any errors found in this version of the library. ** ** If you wish to acknowledge the SOFA heritage, please acknowledge ** that you are using a library derived from SOFA, rather than SOFA ** itself. ** ** ** TERMS AND CONDITIONS ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** 1 Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** 2 Redistributions in binary form must reproduce the above copyright ** notice, this list of conditions and the following disclaimer in ** the documentation and/or other materials provided with the ** distribution. ** ** 3 Neither the name of the Standards Of Fundamental Astronomy Board, ** the International Astronomical Union nor the names of its ** contributors may be used to endorse or promote products derived ** from this software without specific prior written permission. ** ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE ** POSSIBILITY OF SUCH DAMAGE. ** */