| 1 | #include "slalib.h" | 
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| 2 | #include "slamac.h" | 
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| 3 | double slaRcc ( double tdb, double ut1, double wl, double u, double v ) | 
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| 4 | /* | 
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| 5 | **  - - - - - - - | 
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| 6 | **   s l a R c c | 
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| 7 | **  - - - - - - - | 
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| 8 | ** | 
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| 9 | **  Relativistic clock correction:  the difference between proper time at | 
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| 10 | **  a point on the surface of the Earth and coordinate time in the Solar | 
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| 11 | **  System barycentric space-time frame of reference. | 
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| 12 | ** | 
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| 13 | **  The proper time is Terrestrial Time TT;  the coordinate | 
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| 14 | **  time is an implementation of the Barycentric Dynamical Time TDB. | 
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| 15 | ** | 
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| 16 | **  Given: | 
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| 17 | **    TDB   double   coordinate time (MJD: JD-2400000.5) | 
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| 18 | **    UT1   double   universal time (fraction of one day) | 
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| 19 | **    WL    double   clock longitude (radians west) | 
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| 20 | **    U     double   clock distance from Earth spin axis (km) | 
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| 21 | **    V     double   clock distance north of Earth equatorial plane (km) | 
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| 22 | ** | 
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| 23 | **  Returned: | 
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| 24 | **    The clock correction, TDB-TT, in seconds.  TDB may be considered | 
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| 25 | **    to be the coordinate time in the Solar System barycentre frame of | 
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| 26 | **    reference, and TT is the proper time given by clocks at mean sea | 
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| 27 | **    level on the Earth. | 
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| 28 | ** | 
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| 29 | **    The result has a main (annual) sinusoidal term of amplitude | 
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| 30 | **    approximately 0.00166 seconds, plus planetary terms up to about | 
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| 31 | **    20 microseconds, and lunar and diurnal terms up to 2 microseconds. | 
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| 32 | ** | 
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| 33 | **    The variation arises from the transverse Doppler effect and the | 
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| 34 | **    gravitational red-shift as the observer varies in speed and moves | 
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| 35 | **    through different gravitational potentials. | 
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| 36 | ** | 
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| 37 | **  The argument TDB is, strictly, the barycentric coordinate time; | 
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| 38 | **  however, the terrestrial proper time (TT) can in practice be used. | 
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| 39 | ** | 
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| 40 | **  The geocentric model is that of Fairhead & Bretagnon (1990), in its | 
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| 41 | **  full form.  It was supplied by Fairhead (private communication) as a | 
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| 42 | **  FORTRAN subroutine.  The original Fairhead routine used explicit | 
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| 43 | **  formulae, in such large numbers that problems were experienced with | 
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| 44 | **  certain compilers (Microsoft Fortran on PC aborted with stack | 
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| 45 | **  overflow, Convex compiled successfully but extremely slowly).  The | 
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| 46 | **  present implementation is a complete recoding in C, with the original | 
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| 47 | **  Fairhead coefficients held in a table.  To optimize arithmetic | 
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| 48 | **  precision, the terms are accumulated in reverse order, smallest | 
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| 49 | **  first.  The numerical results from this C version agree with | 
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| 50 | **  those from the original Fairhead Fortran code to better than | 
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| 51 | **  10^-15 seconds, depending on the machine hardware. | 
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| 52 | ** | 
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| 53 | **  The topocentric part of the model is from Moyer (1981) and | 
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| 54 | **  Murray (1983). | 
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| 55 | ** | 
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| 56 | **  During the interval 1950-2050, the absolute accuracy is better | 
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| 57 | **  than +/- 3 nanoseconds relative to direct numerical integrations | 
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| 58 | **  using the JPL DE200/LE200 solar system ephemeris. | 
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| 59 | ** | 
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| 60 | **  The IAU definition of TDB is that it must differ from TT only by | 
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| 61 | **  periodic terms.  Though practical, this is an imprecise definition | 
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| 62 | **  which ignores the existence of very long-period and secular effects | 
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| 63 | **  in the dynamics of the solar system.  As a consequence, different | 
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| 64 | **  implementations of TDB will, in general, differ in zero-point and | 
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| 65 | **  will drift linearly relative to one other. | 
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| 66 | ** | 
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| 67 | **  References: | 
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| 68 | **    Bretagnon P, 1982 Astron. Astrophys., 114, 278-288. | 
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| 69 | **    Fairhead L & Bretagnon P, 1990, Astron. Astrophys., 229, 240-247. | 
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| 70 | ** | 
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| 71 | **    Meeus J, 1984, l'Astronomie, 348-354. | 
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| 72 | **    Moyer T D, 1981, Cel. Mech., 23, 33. | 
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| 73 | **    Murray C A, 1983, Vectorial Astrometry, Adam Hilger. | 
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| 74 | ** | 
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| 75 | **  Defined in slamac.h:  D2PI, dmod | 
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| 76 | ** | 
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| 77 | **  Last revision:   31 December 1999 | 
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| 78 | ** | 
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| 79 | **  Copyright P.T.Wallace.  All rights reserved. | 
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| 80 | */ | 
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| 81 | { | 
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| 82 | /* | 
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| 83 | **  Fairhead and Bretagnon canonical coefficients | 
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| 84 | ** | 
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| 85 | **  787 sets of three coefficients. | 
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| 86 | ** | 
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| 87 | **  Each set is amplitude (microseconds) | 
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| 88 | **              frequency (radians per Julian millennium since J2000), | 
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| 89 | **              phase (radians). | 
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| 90 | ** | 
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| 91 | **  Sets   1-474 are the T^0 terms, | 
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| 92 | **   "   475-679  "   "  T^1   " | 
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| 93 | **   "   680-764  "   "  T^2   " | 
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| 94 | **   "   765-784  "   "  T^3   " | 
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| 95 | **   "   785-787  "   "  T^4   "  . | 
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| 96 | */ | 
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| 97 | static double fairhd[2361] = { | 
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| 98 | 1656.674564e-6,    6283.075849991, 6.240054195, | 
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| 99 | 22.417471e-6,    5753.384884897, 4.296977442, | 
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| 100 | 13.839792e-6,   12566.151699983, 6.196904410, | 
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| 101 | 4.770086e-6,     529.690965095, 0.444401603, | 
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| 102 | 4.676740e-6,    6069.776754553, 4.021195093, | 
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| 103 | 2.256707e-6,     213.299095438, 5.543113262, | 
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| 104 | 1.694205e-6,      -3.523118349, 5.025132748, | 
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| 105 | 1.554905e-6,   77713.771467920, 5.198467090, | 
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| 106 | 1.276839e-6,    7860.419392439, 5.988822341, | 
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| 107 | 1.193379e-6,    5223.693919802, 3.649823730, | 
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| 108 | 1.115322e-6,    3930.209696220, 1.422745069, | 
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| 109 | 0.794185e-6,   11506.769769794, 2.322313077, | 
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| 110 | 0.447061e-6,      26.298319800, 3.615796498, | 
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| 111 | 0.435206e-6,    -398.149003408, 4.349338347, | 
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| 112 | 0.600309e-6,    1577.343542448, 2.678271909, | 
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| 113 | 0.496817e-6,    6208.294251424, 5.696701824, | 
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| 114 | 0.486306e-6,    5884.926846583, 0.520007179, | 
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| 115 | 0.432392e-6,      74.781598567, 2.435898309, | 
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| 116 | 0.468597e-6,    6244.942814354, 5.866398759, | 
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| 117 | 0.375510e-6,    5507.553238667, 4.103476804, | 
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| 118 | 0.243085e-6,    -775.522611324, 3.651837925, | 
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| 119 | 0.173435e-6,   18849.227549974, 6.153743485, | 
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| 120 | 0.230685e-6,    5856.477659115, 4.773852582, | 
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| 121 | 0.203747e-6,   12036.460734888, 4.333987818, | 
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| 122 | 0.143935e-6,    -796.298006816, 5.957517795, | 
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| 123 | 0.159080e-6,   10977.078804699, 1.890075226, | 
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| 124 | 0.119979e-6,      38.133035638, 4.551585768, | 
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| 125 | 0.118971e-6,    5486.777843175, 1.914547226, | 
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| 126 | 0.116120e-6,    1059.381930189, 0.873504123, | 
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| 127 | 0.137927e-6,   11790.629088659, 1.135934669, | 
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| 128 | 0.098358e-6,    2544.314419883, 0.092793886, | 
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| 129 | 0.101868e-6,   -5573.142801634, 5.984503847, | 
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| 130 | 0.080164e-6,     206.185548437, 2.095377709, | 
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| 131 | 0.079645e-6,    4694.002954708, 2.949233637, | 
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| 132 | 0.062617e-6,      20.775395492, 2.654394814, | 
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| 133 | 0.075019e-6,    2942.463423292, 4.980931759, | 
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| 134 | 0.064397e-6,    5746.271337896, 1.280308748, | 
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| 135 | 0.063814e-6,    5760.498431898, 4.167901731, | 
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| 136 | 0.048042e-6,    2146.165416475, 1.495846011, | 
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| 137 | 0.048373e-6,     155.420399434, 2.251573730, | 
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| 138 | 0.058844e-6,     426.598190876, 4.839650148, | 
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| 139 | 0.046551e-6,      -0.980321068, 0.921573539, | 
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| 140 | 0.054139e-6,   17260.154654690, 3.411091093, | 
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| 141 | 0.042411e-6,    6275.962302991, 2.869567043, | 
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| 142 | 0.040184e-6,      -7.113547001, 3.565975565, | 
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| 143 | 0.036564e-6,    5088.628839767, 3.324679049, | 
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| 144 | 0.040759e-6,   12352.852604545, 3.981496998, | 
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| 145 | 0.036507e-6,     801.820931124, 6.248866009, | 
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| 146 | 0.036955e-6,    3154.687084896, 5.071801441, | 
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| 147 | 0.042732e-6,     632.783739313, 5.720622217, | 
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| 148 | 0.042560e-6,  161000.685737473, 1.270837679, | 
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| 149 | 0.040480e-6,   15720.838784878, 2.546610123, | 
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| 150 | 0.028244e-6,   -6286.598968340, 5.069663519, | 
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| 151 | 0.033477e-6,    6062.663207553, 4.144987272, | 
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| 152 | 0.034867e-6,     522.577418094, 5.210064075, | 
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| 153 | 0.032438e-6,    6076.890301554, 0.749317412, | 
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| 154 | 0.030215e-6,    7084.896781115, 3.389610345, | 
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| 155 | 0.029247e-6,  -71430.695617928, 4.183178762, | 
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| 156 | 0.033529e-6,    9437.762934887, 2.404714239, | 
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| 157 | 0.032423e-6,    8827.390269875, 5.541473556, | 
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| 158 | 0.027567e-6,    6279.552731642, 5.040846034, | 
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| 159 | 0.029862e-6,   12139.553509107, 1.770181024, | 
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| 160 | 0.022509e-6,   10447.387839604, 1.460726241, | 
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| 161 | 0.020937e-6,    8429.241266467, 0.652303414, | 
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| 162 | 0.020322e-6,     419.484643875, 3.735430632, | 
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| 163 | 0.024816e-6,   -1194.447010225, 1.087136918, | 
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| 164 | 0.025196e-6,    1748.016413067, 2.901883301, | 
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| 165 | 0.021691e-6,   14143.495242431, 5.952658009, | 
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| 166 | 0.017673e-6,    6812.766815086, 3.186129845, | 
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| 167 | 0.022567e-6,    6133.512652857, 3.307984806, | 
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| 168 | 0.016155e-6,   10213.285546211, 1.331103168, | 
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| 169 | 0.014751e-6,    1349.867409659, 4.308933301, | 
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| 170 | 0.015949e-6,    -220.412642439, 4.005298270, | 
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| 171 | 0.015974e-6,   -2352.866153772, 6.145309371, | 
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| 172 | 0.014223e-6,   17789.845619785, 2.104551349, | 
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| 173 | 0.017806e-6,      73.297125859, 3.475975097, | 
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| 174 | 0.013671e-6,    -536.804512095, 5.971672571, | 
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| 175 | 0.011942e-6,    8031.092263058, 2.053414715, | 
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| 176 | 0.014318e-6,   16730.463689596, 3.016058075, | 
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| 177 | 0.012462e-6,     103.092774219, 1.737438797, | 
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| 178 | 0.010962e-6,       3.590428652, 2.196567739, | 
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| 179 | 0.015078e-6,   19651.048481098, 3.969480770, | 
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| 180 | 0.010396e-6,     951.718406251, 5.717799605, | 
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| 181 | 0.011707e-6,   -4705.732307544, 2.654125618, | 
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| 182 | 0.010453e-6,    5863.591206116, 1.913704550, | 
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| 183 | 0.012420e-6,    4690.479836359, 4.734090399, | 
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| 184 | 0.011847e-6,    5643.178563677, 5.489005403, | 
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| 185 | 0.008610e-6,    3340.612426700, 3.661698944, | 
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| 186 | 0.011622e-6,    5120.601145584, 4.863931876, | 
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| 187 | 0.010825e-6,     553.569402842, 0.842715011, | 
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| 188 | 0.008666e-6,    -135.065080035, 3.293406547, | 
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| 189 | 0.009963e-6,     149.563197135, 4.870690598, | 
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| 190 | 0.009858e-6,    6309.374169791, 1.061816410, | 
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| 191 | 0.007959e-6,     316.391869657, 2.465042647, | 
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| 192 | 0.010099e-6,     283.859318865, 1.942176992, | 
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| 193 | 0.007147e-6,    -242.728603974, 3.661486981, | 
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| 194 | 0.007505e-6,    5230.807466803, 4.920937029, | 
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| 195 | 0.008323e-6,   11769.853693166, 1.229392026, | 
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| 196 | 0.007490e-6,   -6256.777530192, 3.658444681, | 
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| 197 | 0.009370e-6,  149854.400134205, 0.673880395, | 
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| 198 | 0.007117e-6,      38.027672636, 5.294249518, | 
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| 199 | 0.007857e-6,   12168.002696575, 0.525733528, | 
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| 200 | 0.007019e-6,    6206.809778716, 0.837688810, | 
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| 201 | 0.006056e-6,     955.599741609, 4.194535082, | 
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| 202 | 0.008107e-6,   13367.972631107, 3.793235253, | 
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| 203 | 0.006731e-6,    5650.292110678, 5.639906583, | 
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| 204 | 0.007332e-6,      36.648562930, 0.114858677, | 
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| 205 | 0.006366e-6,    4164.311989613, 2.262081818, | 
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| 206 | 0.006858e-6,    5216.580372801, 0.642063318, | 
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| 207 | 0.006919e-6,    6681.224853400, 6.018501522, | 
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| 208 | 0.006826e-6,    7632.943259650, 3.458654112, | 
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| 209 | 0.005308e-6,   -1592.596013633, 2.500382359, | 
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| 210 | 0.005096e-6,   11371.704689758, 2.547107806, | 
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| 211 | 0.004841e-6,    5333.900241022, 0.437078094, | 
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| 212 | 0.005582e-6,    5966.683980335, 2.246174308, | 
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| 213 | 0.006304e-6,   11926.254413669, 2.512929171, | 
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| 214 | 0.006603e-6,   23581.258177318, 5.393136889, | 
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| 215 | 0.005123e-6,      -1.484472708, 2.999641028, | 
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| 216 | 0.004648e-6,    1589.072895284, 1.275847090, | 
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| 217 | 0.005119e-6,    6438.496249426, 1.486539246, | 
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| 218 | 0.004521e-6,    4292.330832950, 6.140635794, | 
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| 219 | 0.005680e-6,   23013.539539587, 4.557814849, | 
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| 220 | 0.005488e-6,      -3.455808046, 0.090675389, | 
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| 221 | 0.004193e-6,    7234.794256242, 4.869091389, | 
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| 222 | 0.003742e-6,    7238.675591600, 4.691976180, | 
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| 223 | 0.004148e-6,    -110.206321219, 3.016173439, | 
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| 224 | 0.004553e-6,   11499.656222793, 5.554998314, | 
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| 225 | 0.004892e-6,    5436.993015240, 1.475415597, | 
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| 226 | 0.004044e-6,    4732.030627343, 1.398784824, | 
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| 227 | 0.004164e-6,   12491.370101415, 5.650931916, | 
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| 228 | 0.004349e-6,   11513.883316794, 2.181745369, | 
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| 229 | 0.003919e-6,   12528.018664345, 5.823319737, | 
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| 230 | 0.003129e-6,    6836.645252834, 0.003844094, | 
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| 231 | 0.004080e-6,   -7058.598461315, 3.690360123, | 
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| 232 | 0.003270e-6,      76.266071276, 1.517189902, | 
|---|
| 233 | 0.002954e-6,    6283.143160294, 4.447203799, | 
|---|
| 234 | 0.002872e-6,      28.449187468, 1.158692983, | 
|---|
| 235 | 0.002881e-6,     735.876513532, 0.349250250, | 
|---|
| 236 | 0.003279e-6,    5849.364112115, 4.893384368, | 
|---|
| 237 | 0.003625e-6,    6209.778724132, 1.473760578, | 
|---|
| 238 | 0.003074e-6,     949.175608970, 5.185878737, | 
|---|
| 239 | 0.002775e-6,    9917.696874510, 1.030026325, | 
|---|
| 240 | 0.002646e-6,   10973.555686350, 3.918259169, | 
|---|
| 241 | 0.002575e-6,   25132.303399966, 6.109659023, | 
|---|
| 242 | 0.003500e-6,     263.083923373, 1.892100742, | 
|---|
| 243 | 0.002740e-6,   18319.536584880, 4.320519510, | 
|---|
| 244 | 0.002464e-6,     202.253395174, 4.698203059, | 
|---|
| 245 | 0.002409e-6,       2.542797281, 5.325009315, | 
|---|
| 246 | 0.003354e-6,  -90955.551694697, 1.942656623, | 
|---|
| 247 | 0.002296e-6,    6496.374945429, 5.061810696, | 
|---|
| 248 | 0.003002e-6,    6172.869528772, 2.797822767, | 
|---|
| 249 | 0.003202e-6,   27511.467873537, 0.531673101, | 
|---|
| 250 | 0.002954e-6,   -6283.008539689, 4.533471191, | 
|---|
| 251 | 0.002353e-6,     639.897286314, 3.734548088, | 
|---|
| 252 | 0.002401e-6,   16200.772724501, 2.605547070, | 
|---|
| 253 | 0.003053e-6,  233141.314403759, 3.029030662, | 
|---|
| 254 | 0.003024e-6,   83286.914269554, 2.355556099, | 
|---|
| 255 | 0.002863e-6,   17298.182327326, 5.240963796, | 
|---|
| 256 | 0.002103e-6,   -7079.373856808, 5.756641637, | 
|---|
| 257 | 0.002303e-6,   83996.847317911, 2.013686814, | 
|---|
| 258 | 0.002303e-6,   18073.704938650, 1.089100410, | 
|---|
| 259 | 0.002381e-6,      63.735898303, 0.759188178, | 
|---|
| 260 | 0.002493e-6,    6386.168624210, 0.645026535, | 
|---|
| 261 | 0.002366e-6,       3.932153263, 6.215885448, | 
|---|
| 262 | 0.002169e-6,   11015.106477335, 4.845297676, | 
|---|
| 263 | 0.002397e-6,    6243.458341645, 3.809290043, | 
|---|
| 264 | 0.002183e-6,    1162.474704408, 6.179611691, | 
|---|
| 265 | 0.002353e-6,    6246.427287062, 4.781719760, | 
|---|
| 266 | 0.002199e-6,    -245.831646229, 5.956152284, | 
|---|
| 267 | 0.001729e-6,    3894.181829542, 1.264976635, | 
|---|
| 268 | 0.001896e-6,   -3128.388765096, 4.914231596, | 
|---|
| 269 | 0.002085e-6,      35.164090221, 1.405158503, | 
|---|
| 270 | 0.002024e-6,   14712.317116458, 2.752035928, | 
|---|
| 271 | 0.001737e-6,    6290.189396992, 5.280820144, | 
|---|
| 272 | 0.002229e-6,     491.557929457, 1.571007057, | 
|---|
| 273 | 0.001602e-6,   14314.168113050, 4.203664806, | 
|---|
| 274 | 0.002186e-6,     454.909366527, 1.402101526, | 
|---|
| 275 | 0.001897e-6,   22483.848574493, 4.167932508, | 
|---|
| 276 | 0.001825e-6,   -3738.761430108, 0.545828785, | 
|---|
| 277 | 0.001894e-6,    1052.268383188, 5.817167450, | 
|---|
| 278 | 0.001421e-6,      20.355319399, 2.419886601, | 
|---|
| 279 | 0.001408e-6,   10984.192351700, 2.732084787, | 
|---|
| 280 | 0.001847e-6,   10873.986030480, 2.903477885, | 
|---|
| 281 | 0.001391e-6,   -8635.942003763, 0.593891500, | 
|---|
| 282 | 0.001388e-6,      -7.046236698, 1.166145902, | 
|---|
| 283 | 0.001810e-6,  -88860.057071188, 0.487355242, | 
|---|
| 284 | 0.001288e-6,   -1990.745017041, 3.913022880, | 
|---|
| 285 | 0.001297e-6,   23543.230504682, 3.063805171, | 
|---|
| 286 | 0.001335e-6,    -266.607041722, 3.995764039, | 
|---|
| 287 | 0.001376e-6,   10969.965257698, 5.152914309, | 
|---|
| 288 | 0.001745e-6,  244287.600007027, 3.626395673, | 
|---|
| 289 | 0.001649e-6,   31441.677569757, 1.952049260, | 
|---|
| 290 | 0.001416e-6,    9225.539273283, 4.996408389, | 
|---|
| 291 | 0.001238e-6,    4804.209275927, 5.503379738, | 
|---|
| 292 | 0.001472e-6,    4590.910180489, 4.164913291, | 
|---|
| 293 | 0.001169e-6,    6040.347246017, 5.841719038, | 
|---|
| 294 | 0.001039e-6,    5540.085789459, 2.769753519, | 
|---|
| 295 | 0.001004e-6,    -170.672870619, 0.755008103, | 
|---|
| 296 | 0.001284e-6,   10575.406682942, 5.306538209, | 
|---|
| 297 | 0.001278e-6,      71.812653151, 4.713486491, | 
|---|
| 298 | 0.001321e-6,   18209.330263660, 2.624866359, | 
|---|
| 299 | 0.001297e-6,   21228.392023546, 0.382603541, | 
|---|
| 300 | 0.000954e-6,    6282.095528923, 0.882213514, | 
|---|
| 301 | 0.001145e-6,    6058.731054289, 1.169483931, | 
|---|
| 302 | 0.000979e-6,    5547.199336460, 5.448375984, | 
|---|
| 303 | 0.000987e-6,   -6262.300454499, 2.656486959, | 
|---|
| 304 | 0.001070e-6, -154717.609887482, 1.827624012, | 
|---|
| 305 | 0.000991e-6,    4701.116501708, 4.387001801, | 
|---|
| 306 | 0.001155e-6,     -14.227094002, 3.042700750, | 
|---|
| 307 | 0.001176e-6,     277.034993741, 3.335519004, | 
|---|
| 308 | 0.000890e-6,   13916.019109642, 5.601498297, | 
|---|
| 309 | 0.000884e-6,   -1551.045222648, 1.088831705, | 
|---|
| 310 | 0.000876e-6,    5017.508371365, 3.969902609, | 
|---|
| 311 | 0.000806e-6,   15110.466119866, 5.142876744, | 
|---|
| 312 | 0.000773e-6,   -4136.910433516, 0.022067765, | 
|---|
| 313 | 0.001077e-6,     175.166059800, 1.844913056, | 
|---|
| 314 | 0.000954e-6,   -6284.056171060, 0.968480906, | 
|---|
| 315 | 0.000737e-6,    5326.786694021, 4.923831588, | 
|---|
| 316 | 0.000845e-6,    -433.711737877, 4.749245231, | 
|---|
| 317 | 0.000819e-6,    8662.240323563, 5.991247817, | 
|---|
| 318 | 0.000852e-6,     199.072001436, 2.189604979, | 
|---|
| 319 | 0.000723e-6,   17256.631536341, 6.068719637, | 
|---|
| 320 | 0.000940e-6,    6037.244203762, 6.197428148, | 
|---|
| 321 | 0.000885e-6,   11712.955318231, 3.280414875, | 
|---|
| 322 | 0.000706e-6,   12559.038152982, 2.824848947, | 
|---|
| 323 | 0.000732e-6,    2379.164473572, 2.501813417, | 
|---|
| 324 | 0.000764e-6,   -6127.655450557, 2.236346329, | 
|---|
| 325 | 0.000908e-6,     131.541961686, 2.521257490, | 
|---|
| 326 | 0.000907e-6,   35371.887265976, 3.370195967, | 
|---|
| 327 | 0.000673e-6,    1066.495477190, 3.876512374, | 
|---|
| 328 | 0.000814e-6,   17654.780539750, 4.627122566, | 
|---|
| 329 | 0.000630e-6,      36.027866677, 0.156368499, | 
|---|
| 330 | 0.000798e-6,     515.463871093, 5.151962502, | 
|---|
| 331 | 0.000798e-6,     148.078724426, 5.909225055, | 
|---|
| 332 | 0.000806e-6,     309.278322656, 6.054064447, | 
|---|
| 333 | 0.000607e-6,     -39.617508346, 2.839021623, | 
|---|
| 334 | 0.000601e-6,     412.371096874, 3.984225404, | 
|---|
| 335 | 0.000646e-6,   11403.676995575, 3.852959484, | 
|---|
| 336 | 0.000704e-6,   13521.751441591, 2.300991267, | 
|---|
| 337 | 0.000603e-6,  -65147.619767937, 4.140083146, | 
|---|
| 338 | 0.000609e-6,   10177.257679534, 0.437122327, | 
|---|
| 339 | 0.000631e-6,    5767.611978898, 4.026532329, | 
|---|
| 340 | 0.000576e-6,   11087.285125918, 4.760293101, | 
|---|
| 341 | 0.000674e-6,   14945.316173554, 6.270510511, | 
|---|
| 342 | 0.000726e-6,    5429.879468239, 6.039606892, | 
|---|
| 343 | 0.000710e-6,   28766.924424484, 5.672617711, | 
|---|
| 344 | 0.000647e-6,   11856.218651625, 3.397132627, | 
|---|
| 345 | 0.000678e-6,   -5481.254918868, 6.249666675, | 
|---|
| 346 | 0.000618e-6,   22003.914634870, 2.466427018, | 
|---|
| 347 | 0.000738e-6,    6134.997125565, 2.242668890, | 
|---|
| 348 | 0.000660e-6,     625.670192312, 5.864091907, | 
|---|
| 349 | 0.000694e-6,    3496.032826134, 2.668309141, | 
|---|
| 350 | 0.000531e-6,    6489.261398429, 1.681888780, | 
|---|
| 351 | 0.000611e-6, -143571.324284214, 2.424978312, | 
|---|
| 352 | 0.000575e-6,   12043.574281889, 4.216492400, | 
|---|
| 353 | 0.000553e-6,   12416.588502848, 4.772158039, | 
|---|
| 354 | 0.000689e-6,    4686.889407707, 6.224271088, | 
|---|
| 355 | 0.000495e-6,    7342.457780181, 3.817285811, | 
|---|
| 356 | 0.000567e-6,    3634.621024518, 1.649264690, | 
|---|
| 357 | 0.000515e-6,   18635.928454536, 3.945345892, | 
|---|
| 358 | 0.000486e-6,    -323.505416657, 4.061673868, | 
|---|
| 359 | 0.000662e-6,   25158.601719765, 1.794058369, | 
|---|
| 360 | 0.000509e-6,     846.082834751, 3.053874588, | 
|---|
| 361 | 0.000472e-6,  -12569.674818332, 5.112133338, | 
|---|
| 362 | 0.000461e-6,    6179.983075773, 0.513669325, | 
|---|
| 363 | 0.000641e-6,   83467.156352816, 3.210727723, | 
|---|
| 364 | 0.000520e-6,   10344.295065386, 2.445597761, | 
|---|
| 365 | 0.000493e-6,   18422.629359098, 1.676939306, | 
|---|
| 366 | 0.000478e-6,    1265.567478626, 5.487314569, | 
|---|
| 367 | 0.000472e-6,     -18.159247265, 1.999707589, | 
|---|
| 368 | 0.000559e-6,   11190.377900137, 5.783236356, | 
|---|
| 369 | 0.000494e-6,    9623.688276691, 3.022645053, | 
|---|
| 370 | 0.000463e-6,    5739.157790895, 1.411223013, | 
|---|
| 371 | 0.000432e-6,   16858.482532933, 1.179256434, | 
|---|
| 372 | 0.000574e-6,   72140.628666286, 1.758191830, | 
|---|
| 373 | 0.000484e-6,   17267.268201691, 3.290589143, | 
|---|
| 374 | 0.000550e-6,    4907.302050146, 0.864024298, | 
|---|
| 375 | 0.000399e-6,      14.977853527, 2.094441910, | 
|---|
| 376 | 0.000491e-6,     224.344795702, 0.878372791, | 
|---|
| 377 | 0.000432e-6,   20426.571092422, 6.003829241, | 
|---|
| 378 | 0.000481e-6,    5749.452731634, 4.309591964, | 
|---|
| 379 | 0.000480e-6,    5757.317038160, 1.142348571, | 
|---|
| 380 | 0.000485e-6,    6702.560493867, 0.210580917, | 
|---|
| 381 | 0.000426e-6,    6055.549660552, 4.274476529, | 
|---|
| 382 | 0.000480e-6,    5959.570433334, 5.031351030, | 
|---|
| 383 | 0.000466e-6,   12562.628581634, 4.959581597, | 
|---|
| 384 | 0.000520e-6,   39302.096962196, 4.788002889, | 
|---|
| 385 | 0.000458e-6,   12132.439962106, 1.880103788, | 
|---|
| 386 | 0.000470e-6,   12029.347187887, 1.405611197, | 
|---|
| 387 | 0.000416e-6,   -7477.522860216, 1.082356330, | 
|---|
| 388 | 0.000449e-6,   11609.862544012, 4.179989585, | 
|---|
| 389 | 0.000465e-6,   17253.041107690, 0.353496295, | 
|---|
| 390 | 0.000362e-6,   -4535.059436924, 1.583849576, | 
|---|
| 391 | 0.000383e-6,   21954.157609398, 3.747376371, | 
|---|
| 392 | 0.000389e-6,      17.252277143, 1.395753179, | 
|---|
| 393 | 0.000331e-6,   18052.929543158, 0.566790582, | 
|---|
| 394 | 0.000430e-6,   13517.870106233, 0.685827538, | 
|---|
| 395 | 0.000368e-6,   -5756.908003246, 0.731374317, | 
|---|
| 396 | 0.000330e-6,   10557.594160824, 3.710043680, | 
|---|
| 397 | 0.000332e-6,   20199.094959633, 1.652901407, | 
|---|
| 398 | 0.000384e-6,   11933.367960670, 5.827781531, | 
|---|
| 399 | 0.000387e-6,   10454.501386605, 2.541182564, | 
|---|
| 400 | 0.000325e-6,   15671.081759407, 2.178850542, | 
|---|
| 401 | 0.000318e-6,     138.517496871, 2.253253037, | 
|---|
| 402 | 0.000305e-6,    9388.005909415, 0.578340206, | 
|---|
| 403 | 0.000352e-6,    5749.861766548, 3.000297967, | 
|---|
| 404 | 0.000311e-6,    6915.859589305, 1.693574249, | 
|---|
| 405 | 0.000297e-6,   24072.921469776, 1.997249392, | 
|---|
| 406 | 0.000363e-6,    -640.877607382, 5.071820966, | 
|---|
| 407 | 0.000323e-6,   12592.450019783, 1.072262823, | 
|---|
| 408 | 0.000341e-6,   12146.667056108, 4.700657997, | 
|---|
| 409 | 0.000290e-6,    9779.108676125, 1.812320441, | 
|---|
| 410 | 0.000342e-6,    6132.028180148, 4.322238614, | 
|---|
| 411 | 0.000329e-6,    6268.848755990, 3.033827743, | 
|---|
| 412 | 0.000374e-6,   17996.031168222, 3.388716544, | 
|---|
| 413 | 0.000285e-6,    -533.214083444, 4.687313233, | 
|---|
| 414 | 0.000338e-6,    6065.844601290, 0.877776108, | 
|---|
| 415 | 0.000276e-6,      24.298513841, 0.770299429, | 
|---|
| 416 | 0.000336e-6,   -2388.894020449, 5.353796034, | 
|---|
| 417 | 0.000290e-6,    3097.883822726, 4.075291557, | 
|---|
| 418 | 0.000318e-6,     709.933048357, 5.941207518, | 
|---|
| 419 | 0.000271e-6,   13095.842665077, 3.208912203, | 
|---|
| 420 | 0.000331e-6,    6073.708907816, 4.007881169, | 
|---|
| 421 | 0.000292e-6,     742.990060533, 2.714333592, | 
|---|
| 422 | 0.000362e-6,   29088.811415985, 3.215977013, | 
|---|
| 423 | 0.000280e-6,   12359.966151546, 0.710872502, | 
|---|
| 424 | 0.000267e-6,   10440.274292604, 4.730108488, | 
|---|
| 425 | 0.000262e-6,     838.969287750, 1.327720272, | 
|---|
| 426 | 0.000250e-6,   16496.361396202, 0.898769761, | 
|---|
| 427 | 0.000325e-6,   20597.243963041, 0.180044365, | 
|---|
| 428 | 0.000268e-6,    6148.010769956, 5.152666276, | 
|---|
| 429 | 0.000284e-6,    5636.065016677, 5.655385808, | 
|---|
| 430 | 0.000301e-6,    6080.822454817, 2.135396205, | 
|---|
| 431 | 0.000294e-6,    -377.373607916, 3.708784168, | 
|---|
| 432 | 0.000236e-6,    2118.763860378, 1.733578756, | 
|---|
| 433 | 0.000234e-6,    5867.523359379, 5.575209112, | 
|---|
| 434 | 0.000268e-6, -226858.238553767, 0.069432392, | 
|---|
| 435 | 0.000265e-6,  167283.761587465, 4.369302826, | 
|---|
| 436 | 0.000280e-6,   28237.233459389, 5.304829118, | 
|---|
| 437 | 0.000292e-6,   12345.739057544, 4.096094132, | 
|---|
| 438 | 0.000223e-6,   19800.945956225, 3.069327406, | 
|---|
| 439 | 0.000301e-6,   43232.306658416, 6.205311188, | 
|---|
| 440 | 0.000264e-6,   18875.525869774, 1.417263408, | 
|---|
| 441 | 0.000304e-6,   -1823.175188677, 3.409035232, | 
|---|
| 442 | 0.000301e-6,     109.945688789, 0.510922054, | 
|---|
| 443 | 0.000260e-6,     813.550283960, 2.389438934, | 
|---|
| 444 | 0.000299e-6,  316428.228673312, 5.384595078, | 
|---|
| 445 | 0.000211e-6,    5756.566278634, 3.789392838, | 
|---|
| 446 | 0.000209e-6,    5750.203491159, 1.661943545, | 
|---|
| 447 | 0.000240e-6,   12489.885628707, 5.684549045, | 
|---|
| 448 | 0.000216e-6,    6303.851245484, 3.862942261, | 
|---|
| 449 | 0.000203e-6,    1581.959348283, 5.549853589, | 
|---|
| 450 | 0.000200e-6,    5642.198242609, 1.016115785, | 
|---|
| 451 | 0.000197e-6,     -70.849445304, 4.690702525, | 
|---|
| 452 | 0.000227e-6,    6287.008003254, 2.911891613, | 
|---|
| 453 | 0.000197e-6,     533.623118358, 1.048982898, | 
|---|
| 454 | 0.000205e-6,   -6279.485421340, 1.829362730, | 
|---|
| 455 | 0.000209e-6,  -10988.808157535, 2.636140084, | 
|---|
| 456 | 0.000208e-6,    -227.526189440, 4.127883842, | 
|---|
| 457 | 0.000191e-6,     415.552490612, 4.401165650, | 
|---|
| 458 | 0.000190e-6,   29296.615389579, 4.175658539, | 
|---|
| 459 | 0.000264e-6,   66567.485864652, 4.601102551, | 
|---|
| 460 | 0.000256e-6,   -3646.350377354, 0.506364778, | 
|---|
| 461 | 0.000188e-6,   13119.721102825, 2.032195842, | 
|---|
| 462 | 0.000185e-6,    -209.366942175, 4.694756586, | 
|---|
| 463 | 0.000198e-6,   25934.124331089, 3.832703118, | 
|---|
| 464 | 0.000195e-6,    4061.219215394, 3.308463427, | 
|---|
| 465 | 0.000234e-6,    5113.487598583, 1.716090661, | 
|---|
| 466 | 0.000188e-6,    1478.866574064, 5.686865780, | 
|---|
| 467 | 0.000222e-6,   11823.161639450, 1.942386641, | 
|---|
| 468 | 0.000181e-6,   10770.893256262, 1.999482059, | 
|---|
| 469 | 0.000171e-6,    6546.159773364, 1.182807992, | 
|---|
| 470 | 0.000206e-6,      70.328180442, 5.934076062, | 
|---|
| 471 | 0.000169e-6,   20995.392966449, 2.169080622, | 
|---|
| 472 | 0.000191e-6,   10660.686935042, 5.405515999, | 
|---|
| 473 | 0.000228e-6,   33019.021112205, 4.656985514, | 
|---|
| 474 | 0.000184e-6,   -4933.208440333, 3.327476868, | 
|---|
| 475 | 0.000220e-6,    -135.625325010, 1.765430262, | 
|---|
| 476 | 0.000166e-6,   23141.558382925, 3.454132746, | 
|---|
| 477 | 0.000191e-6,    6144.558353121, 5.020393445, | 
|---|
| 478 | 0.000180e-6,    6084.003848555, 0.602182191, | 
|---|
| 479 | 0.000163e-6,   17782.732072784, 4.960593133, | 
|---|
| 480 | 0.000225e-6,   16460.333529525, 2.596451817, | 
|---|
| 481 | 0.000222e-6,    5905.702242076, 3.731990323, | 
|---|
| 482 | 0.000204e-6,     227.476132789, 5.636192701, | 
|---|
| 483 | 0.000159e-6,   16737.577236597, 3.600691544, | 
|---|
| 484 | 0.000200e-6,    6805.653268085, 0.868220961, | 
|---|
| 485 | 0.000187e-6,   11919.140866668, 2.629456641, | 
|---|
| 486 | 0.000161e-6,     127.471796607, 2.862574720, | 
|---|
| 487 | 0.000205e-6,    6286.666278643, 1.742882331, | 
|---|
| 488 | 0.000189e-6,     153.778810485, 4.812372643, | 
|---|
| 489 | 0.000168e-6,   16723.350142595, 0.027860588, | 
|---|
| 490 | 0.000149e-6,   11720.068865232, 0.659721876, | 
|---|
| 491 | 0.000189e-6,    5237.921013804, 5.245313000, | 
|---|
| 492 | 0.000143e-6,    6709.674040867, 4.317625647, | 
|---|
| 493 | 0.000146e-6,    4487.817406270, 4.815297007, | 
|---|
| 494 | 0.000144e-6,    -664.756045130, 5.381366880, | 
|---|
| 495 | 0.000175e-6,    5127.714692584, 4.728443327, | 
|---|
| 496 | 0.000162e-6,    6254.626662524, 1.435132069, | 
|---|
| 497 | 0.000187e-6,   47162.516354635, 1.354371923, | 
|---|
| 498 | 0.000146e-6,   11080.171578918, 3.369695406, | 
|---|
| 499 | 0.000180e-6,    -348.924420448, 2.490902145, | 
|---|
| 500 | 0.000148e-6,     151.047669843, 3.799109588, | 
|---|
| 501 | 0.000157e-6,    6197.248551160, 1.284375887, | 
|---|
| 502 | 0.000167e-6,     146.594251718, 0.759969109, | 
|---|
| 503 | 0.000133e-6,   -5331.357443741, 5.409701889, | 
|---|
| 504 | 0.000154e-6,      95.979227218, 3.366890614, | 
|---|
| 505 | 0.000148e-6,   -6418.140930027, 3.384104996, | 
|---|
| 506 | 0.000128e-6,   -6525.804453965, 3.803419985, | 
|---|
| 507 | 0.000130e-6,   11293.470674356, 0.939039445, | 
|---|
| 508 | 0.000152e-6,   -5729.506447149, 0.734117523, | 
|---|
| 509 | 0.000138e-6,     210.117701700, 2.564216078, | 
|---|
| 510 | 0.000123e-6,    6066.595360816, 4.517099537, | 
|---|
| 511 | 0.000140e-6,   18451.078546566, 0.642049130, | 
|---|
| 512 | 0.000126e-6,   11300.584221356, 3.485280663, | 
|---|
| 513 | 0.000119e-6,   10027.903195729, 3.217431161, | 
|---|
| 514 | 0.000151e-6,    4274.518310832, 4.404359108, | 
|---|
| 515 | 0.000117e-6,    6072.958148291, 0.366324650, | 
|---|
| 516 | 0.000165e-6,   -7668.637425143, 4.298212528, | 
|---|
| 517 | 0.000117e-6,   -6245.048177356, 5.379518958, | 
|---|
| 518 | 0.000130e-6,   -5888.449964932, 4.527681115, | 
|---|
| 519 | 0.000121e-6,    -543.918059096, 6.109429504, | 
|---|
| 520 | 0.000162e-6,    9683.594581116, 5.720092446, | 
|---|
| 521 | 0.000141e-6,    6219.339951688, 0.679068671, | 
|---|
| 522 | 0.000118e-6,   22743.409379516, 4.881123092, | 
|---|
| 523 | 0.000129e-6,    1692.165669502, 0.351407289, | 
|---|
| 524 | 0.000126e-6,    5657.405657679, 5.146592349, | 
|---|
| 525 | 0.000114e-6,     728.762966531, 0.520791814, | 
|---|
| 526 | 0.000120e-6,      52.596639600, 0.948516300, | 
|---|
| 527 | 0.000115e-6,      65.220371012, 3.504914846, | 
|---|
| 528 | 0.000126e-6,    5881.403728234, 5.577502482, | 
|---|
| 529 | 0.000158e-6,  163096.180360983, 2.957128968, | 
|---|
| 530 | 0.000134e-6,   12341.806904281, 2.598576764, | 
|---|
| 531 | 0.000151e-6,   16627.370915377, 3.985702050, | 
|---|
| 532 | 0.000109e-6,    1368.660252845, 0.014730471, | 
|---|
| 533 | 0.000131e-6,    6211.263196841, 0.085077024, | 
|---|
| 534 | 0.000146e-6,    5792.741760812, 0.708426604, | 
|---|
| 535 | 0.000146e-6,     -77.750543984, 3.121576600, | 
|---|
| 536 | 0.000107e-6,    5341.013788022, 0.288231904, | 
|---|
| 537 | 0.000138e-6,    6281.591377283, 2.797450317, | 
|---|
| 538 | 0.000113e-6,   -6277.552925684, 2.788904128, | 
|---|
| 539 | 0.000115e-6,    -525.758811831, 5.895222200, | 
|---|
| 540 | 0.000138e-6,    6016.468808270, 6.096188999, | 
|---|
| 541 | 0.000139e-6,   23539.707386333, 2.028195445, | 
|---|
| 542 | 0.000146e-6,   -4176.041342449, 4.660008502, | 
|---|
| 543 | 0.000107e-6,   16062.184526117, 4.066520001, | 
|---|
| 544 | 0.000142e-6,   83783.548222473, 2.936315115, | 
|---|
| 545 | 0.000128e-6,    9380.959672717, 3.223844306, | 
|---|
| 546 | 0.000135e-6,    6205.325306007, 1.638054048, | 
|---|
| 547 | 0.000101e-6,    2699.734819318, 5.481603249, | 
|---|
| 548 | 0.000104e-6,    -568.821874027, 2.205734493, | 
|---|
| 549 | 0.000103e-6,    6321.103522627, 2.440421099, | 
|---|
| 550 | 0.000119e-6,    6321.208885629, 2.547496264, | 
|---|
| 551 | 0.000138e-6,    1975.492545856, 2.314608466, | 
|---|
| 552 | 0.000121e-6,     137.033024162, 4.539108237, | 
|---|
| 553 | 0.000123e-6,   19402.796952817, 4.538074405, | 
|---|
| 554 | 0.000119e-6,   22805.735565994, 2.869040566, | 
|---|
| 555 | 0.000133e-6,   64471.991241142, 6.056405489, | 
|---|
| 556 | 0.000129e-6,     -85.827298831, 2.540635083, | 
|---|
| 557 | 0.000131e-6,   13613.804277336, 4.005732868, | 
|---|
| 558 | 0.000104e-6,    9814.604100291, 1.959967212, | 
|---|
| 559 | 0.000112e-6,   16097.679950283, 3.589026260, | 
|---|
| 560 | 0.000123e-6,    2107.034507542, 1.728627253, | 
|---|
| 561 | 0.000121e-6,   36949.230808424, 6.072332087, | 
|---|
| 562 | 0.000108e-6,  -12539.853380183, 3.716133846, | 
|---|
| 563 | 0.000113e-6,   -7875.671863624, 2.725771122, | 
|---|
| 564 | 0.000109e-6,    4171.425536614, 4.033338079, | 
|---|
| 565 | 0.000101e-6,    6247.911759770, 3.441347021, | 
|---|
| 566 | 0.000113e-6,    7330.728427345, 0.656372122, | 
|---|
| 567 | 0.000113e-6,   51092.726050855, 2.791483066, | 
|---|
| 568 | 0.000106e-6,    5621.842923210, 1.815323326, | 
|---|
| 569 | 0.000101e-6,     111.430161497, 5.711033677, | 
|---|
| 570 | 0.000103e-6,     909.818733055, 2.812745443, | 
|---|
| 571 | 0.000101e-6,    1790.642637886, 1.965746028, | 
|---|
| 572 | 102.156724e-6,    6283.075849991, 4.249032005, | 
|---|
| 573 | 1.706807e-6,   12566.151699983, 4.205904248, | 
|---|
| 574 | 0.269668e-6,     213.299095438, 3.400290479, | 
|---|
| 575 | 0.265919e-6,     529.690965095, 5.836047367, | 
|---|
| 576 | 0.210568e-6,      -3.523118349, 6.262738348, | 
|---|
| 577 | 0.077996e-6,    5223.693919802, 4.670344204, | 
|---|
| 578 | 0.054764e-6,    1577.343542448, 4.534800170, | 
|---|
| 579 | 0.059146e-6,      26.298319800, 1.083044735, | 
|---|
| 580 | 0.034420e-6,    -398.149003408, 5.980077351, | 
|---|
| 581 | 0.032088e-6,   18849.227549974, 4.162913471, | 
|---|
| 582 | 0.033595e-6,    5507.553238667, 5.980162321, | 
|---|
| 583 | 0.029198e-6,    5856.477659115, 0.623811863, | 
|---|
| 584 | 0.027764e-6,     155.420399434, 3.745318113, | 
|---|
| 585 | 0.025190e-6,    5746.271337896, 2.980330535, | 
|---|
| 586 | 0.022997e-6,    -796.298006816, 1.174411803, | 
|---|
| 587 | 0.024976e-6,    5760.498431898, 2.467913690, | 
|---|
| 588 | 0.021774e-6,     206.185548437, 3.854787540, | 
|---|
| 589 | 0.017925e-6,    -775.522611324, 1.092065955, | 
|---|
| 590 | 0.013794e-6,     426.598190876, 2.699831988, | 
|---|
| 591 | 0.013276e-6,    6062.663207553, 5.845801920, | 
|---|
| 592 | 0.011774e-6,   12036.460734888, 2.292832062, | 
|---|
| 593 | 0.012869e-6,    6076.890301554, 5.333425680, | 
|---|
| 594 | 0.012152e-6,    1059.381930189, 6.222874454, | 
|---|
| 595 | 0.011081e-6,      -7.113547001, 5.154724984, | 
|---|
| 596 | 0.010143e-6,    4694.002954708, 4.044013795, | 
|---|
| 597 | 0.009357e-6,    5486.777843175, 3.416081409, | 
|---|
| 598 | 0.010084e-6,     522.577418094, 0.749320262, | 
|---|
| 599 | 0.008587e-6,   10977.078804699, 2.777152598, | 
|---|
| 600 | 0.008628e-6,    6275.962302991, 4.562060226, | 
|---|
| 601 | 0.008158e-6,    -220.412642439, 5.806891533, | 
|---|
| 602 | 0.007746e-6,    2544.314419883, 1.603197066, | 
|---|
| 603 | 0.007670e-6,    2146.165416475, 3.000200440, | 
|---|
| 604 | 0.007098e-6,      74.781598567, 0.443725817, | 
|---|
| 605 | 0.006180e-6,    -536.804512095, 1.302642751, | 
|---|
| 606 | 0.005818e-6,    5088.628839767, 4.827723531, | 
|---|
| 607 | 0.004945e-6,   -6286.598968340, 0.268305170, | 
|---|
| 608 | 0.004774e-6,    1349.867409659, 5.808636673, | 
|---|
| 609 | 0.004687e-6,    -242.728603974, 5.154890570, | 
|---|
| 610 | 0.006089e-6,    1748.016413067, 4.403765209, | 
|---|
| 611 | 0.005975e-6,   -1194.447010225, 2.583472591, | 
|---|
| 612 | 0.004229e-6,     951.718406251, 0.931172179, | 
|---|
| 613 | 0.005264e-6,     553.569402842, 2.336107252, | 
|---|
| 614 | 0.003049e-6,    5643.178563677, 1.362634430, | 
|---|
| 615 | 0.002974e-6,    6812.766815086, 1.583012668, | 
|---|
| 616 | 0.003403e-6,   -2352.866153772, 2.552189886, | 
|---|
| 617 | 0.003030e-6,     419.484643875, 5.286473844, | 
|---|
| 618 | 0.003210e-6,      -7.046236698, 1.863796539, | 
|---|
| 619 | 0.003058e-6,    9437.762934887, 4.226420633, | 
|---|
| 620 | 0.002589e-6,   12352.852604545, 1.991935820, | 
|---|
| 621 | 0.002927e-6,    5216.580372801, 2.319951253, | 
|---|
| 622 | 0.002425e-6,    5230.807466803, 3.084752833, | 
|---|
| 623 | 0.002656e-6,    3154.687084896, 2.487447866, | 
|---|
| 624 | 0.002445e-6,   10447.387839604, 2.347139160, | 
|---|
| 625 | 0.002990e-6,    4690.479836359, 6.235872050, | 
|---|
| 626 | 0.002890e-6,    5863.591206116, 0.095197563, | 
|---|
| 627 | 0.002498e-6,    6438.496249426, 2.994779800, | 
|---|
| 628 | 0.001889e-6,    8031.092263058, 3.569003717, | 
|---|
| 629 | 0.002567e-6,     801.820931124, 3.425611498, | 
|---|
| 630 | 0.001803e-6,  -71430.695617928, 2.192295512, | 
|---|
| 631 | 0.001782e-6,       3.932153263, 5.180433689, | 
|---|
| 632 | 0.001694e-6,   -4705.732307544, 4.641779174, | 
|---|
| 633 | 0.001704e-6,   -1592.596013633, 3.997097652, | 
|---|
| 634 | 0.001735e-6,    5849.364112115, 0.417558428, | 
|---|
| 635 | 0.001643e-6,    8429.241266467, 2.180619584, | 
|---|
| 636 | 0.001680e-6,      38.133035638, 4.164529426, | 
|---|
| 637 | 0.002045e-6,    7084.896781115, 0.526323854, | 
|---|
| 638 | 0.001458e-6,    4292.330832950, 1.356098141, | 
|---|
| 639 | 0.001437e-6,      20.355319399, 3.895439360, | 
|---|
| 640 | 0.001738e-6,    6279.552731642, 0.087484036, | 
|---|
| 641 | 0.001367e-6,   14143.495242431, 3.987576591, | 
|---|
| 642 | 0.001344e-6,    7234.794256242, 0.090454338, | 
|---|
| 643 | 0.001438e-6,   11499.656222793, 0.974387904, | 
|---|
| 644 | 0.001257e-6,    6836.645252834, 1.509069366, | 
|---|
| 645 | 0.001358e-6,   11513.883316794, 0.495572260, | 
|---|
| 646 | 0.001628e-6,    7632.943259650, 4.968445721, | 
|---|
| 647 | 0.001169e-6,     103.092774219, 2.838496795, | 
|---|
| 648 | 0.001162e-6,    4164.311989613, 3.408387778, | 
|---|
| 649 | 0.001092e-6,    6069.776754553, 3.617942651, | 
|---|
| 650 | 0.001008e-6,   17789.845619785, 0.286350174, | 
|---|
| 651 | 0.001008e-6,     639.897286314, 1.610762073, | 
|---|
| 652 | 0.000918e-6,   10213.285546211, 5.532798067, | 
|---|
| 653 | 0.001011e-6,   -6256.777530192, 0.661826484, | 
|---|
| 654 | 0.000753e-6,   16730.463689596, 3.905030235, | 
|---|
| 655 | 0.000737e-6,   11926.254413669, 4.641956361, | 
|---|
| 656 | 0.000694e-6,    3340.612426700, 2.111120332, | 
|---|
| 657 | 0.000701e-6,    3894.181829542, 2.760823491, | 
|---|
| 658 | 0.000689e-6,    -135.065080035, 4.768800780, | 
|---|
| 659 | 0.000700e-6,   13367.972631107, 5.760439898, | 
|---|
| 660 | 0.000664e-6,    6040.347246017, 1.051215840, | 
|---|
| 661 | 0.000654e-6,    5650.292110678, 4.911332503, | 
|---|
| 662 | 0.000788e-6,    6681.224853400, 4.699648011, | 
|---|
| 663 | 0.000628e-6,    5333.900241022, 5.024608847, | 
|---|
| 664 | 0.000755e-6,    -110.206321219, 4.370971253, | 
|---|
| 665 | 0.000628e-6,    6290.189396992, 3.660478857, | 
|---|
| 666 | 0.000635e-6,   25132.303399966, 4.121051532, | 
|---|
| 667 | 0.000534e-6,    5966.683980335, 1.173284524, | 
|---|
| 668 | 0.000543e-6,    -433.711737877, 0.345585464, | 
|---|
| 669 | 0.000517e-6,   -1990.745017041, 5.414571768, | 
|---|
| 670 | 0.000504e-6,    5767.611978898, 2.328281115, | 
|---|
| 671 | 0.000485e-6,    5753.384884897, 1.685874771, | 
|---|
| 672 | 0.000463e-6,    7860.419392439, 5.297703006, | 
|---|
| 673 | 0.000604e-6,     515.463871093, 0.591998446, | 
|---|
| 674 | 0.000443e-6,   12168.002696575, 4.830881244, | 
|---|
| 675 | 0.000570e-6,     199.072001436, 3.899190272, | 
|---|
| 676 | 0.000465e-6,   10969.965257698, 0.476681802, | 
|---|
| 677 | 0.000424e-6,   -7079.373856808, 1.112242763, | 
|---|
| 678 | 0.000427e-6,     735.876513532, 1.994214480, | 
|---|
| 679 | 0.000478e-6,   -6127.655450557, 3.778025483, | 
|---|
| 680 | 0.000414e-6,   10973.555686350, 5.441088327, | 
|---|
| 681 | 0.000512e-6,    1589.072895284, 0.107123853, | 
|---|
| 682 | 0.000378e-6,   10984.192351700, 0.915087231, | 
|---|
| 683 | 0.000402e-6,   11371.704689758, 4.107281715, | 
|---|
| 684 | 0.000453e-6,    9917.696874510, 1.917490952, | 
|---|
| 685 | 0.000395e-6,     149.563197135, 2.763124165, | 
|---|
| 686 | 0.000371e-6,    5739.157790895, 3.112111866, | 
|---|
| 687 | 0.000350e-6,   11790.629088659, 0.440639857, | 
|---|
| 688 | 0.000356e-6,    6133.512652857, 5.444568842, | 
|---|
| 689 | 0.000344e-6,     412.371096874, 5.676832684, | 
|---|
| 690 | 0.000383e-6,     955.599741609, 5.559734846, | 
|---|
| 691 | 0.000333e-6,    6496.374945429, 0.261537984, | 
|---|
| 692 | 0.000340e-6,    6055.549660552, 5.975534987, | 
|---|
| 693 | 0.000334e-6,    1066.495477190, 2.335063907, | 
|---|
| 694 | 0.000399e-6,   11506.769769794, 5.321230910, | 
|---|
| 695 | 0.000314e-6,   18319.536584880, 2.313312404, | 
|---|
| 696 | 0.000424e-6,    1052.268383188, 1.211961766, | 
|---|
| 697 | 0.000307e-6,      63.735898303, 3.169551388, | 
|---|
| 698 | 0.000329e-6,      29.821438149, 6.106912080, | 
|---|
| 699 | 0.000357e-6,    6309.374169791, 4.223760346, | 
|---|
| 700 | 0.000312e-6,   -3738.761430108, 2.180556645, | 
|---|
| 701 | 0.000301e-6,     309.278322656, 1.499984572, | 
|---|
| 702 | 0.000268e-6,   12043.574281889, 2.447520648, | 
|---|
| 703 | 0.000257e-6,   12491.370101415, 3.662331761, | 
|---|
| 704 | 0.000290e-6,     625.670192312, 1.272834584, | 
|---|
| 705 | 0.000256e-6,    5429.879468239, 1.913426912, | 
|---|
| 706 | 0.000339e-6,    3496.032826134, 4.165930011, | 
|---|
| 707 | 0.000283e-6,    3930.209696220, 4.325565754, | 
|---|
| 708 | 0.000241e-6,   12528.018664345, 3.832324536, | 
|---|
| 709 | 0.000304e-6,    4686.889407707, 1.612348468, | 
|---|
| 710 | 0.000259e-6,   16200.772724501, 3.470173146, | 
|---|
| 711 | 0.000238e-6,   12139.553509107, 1.147977842, | 
|---|
| 712 | 0.000236e-6,    6172.869528772, 3.776271728, | 
|---|
| 713 | 0.000296e-6,   -7058.598461315, 0.460368852, | 
|---|
| 714 | 0.000306e-6,   10575.406682942, 0.554749016, | 
|---|
| 715 | 0.000251e-6,   17298.182327326, 0.834332510, | 
|---|
| 716 | 0.000290e-6,    4732.030627343, 4.759564091, | 
|---|
| 717 | 0.000261e-6,    5884.926846583, 0.298259862, | 
|---|
| 718 | 0.000249e-6,    5547.199336460, 3.749366406, | 
|---|
| 719 | 0.000213e-6,   11712.955318231, 5.415666119, | 
|---|
| 720 | 0.000223e-6,    4701.116501708, 2.703203558, | 
|---|
| 721 | 0.000268e-6,    -640.877607382, 0.283670793, | 
|---|
| 722 | 0.000209e-6,    5636.065016677, 1.238477199, | 
|---|
| 723 | 0.000193e-6,   10177.257679534, 1.943251340, | 
|---|
| 724 | 0.000182e-6,    6283.143160294, 2.456157599, | 
|---|
| 725 | 0.000184e-6,    -227.526189440, 5.888038582, | 
|---|
| 726 | 0.000182e-6,   -6283.008539689, 0.241332086, | 
|---|
| 727 | 0.000228e-6,   -6284.056171060, 2.657323816, | 
|---|
| 728 | 0.000166e-6,    7238.675591600, 5.930629110, | 
|---|
| 729 | 0.000167e-6,    3097.883822726, 5.570955333, | 
|---|
| 730 | 0.000159e-6,    -323.505416657, 5.786670700, | 
|---|
| 731 | 0.000154e-6,   -4136.910433516, 1.517805532, | 
|---|
| 732 | 0.000176e-6,   12029.347187887, 3.139266834, | 
|---|
| 733 | 0.000167e-6,   12132.439962106, 3.556352289, | 
|---|
| 734 | 0.000153e-6,     202.253395174, 1.463313961, | 
|---|
| 735 | 0.000157e-6,   17267.268201691, 1.586837396, | 
|---|
| 736 | 0.000142e-6,   83996.847317911, 0.022670115, | 
|---|
| 737 | 0.000152e-6,   17260.154654690, 0.708528947, | 
|---|
| 738 | 0.000144e-6,    6084.003848555, 5.187075177, | 
|---|
| 739 | 0.000135e-6,    5756.566278634, 1.993229262, | 
|---|
| 740 | 0.000134e-6,    5750.203491159, 3.457197134, | 
|---|
| 741 | 0.000144e-6,    5326.786694021, 6.066193291, | 
|---|
| 742 | 0.000160e-6,   11015.106477335, 1.710431974, | 
|---|
| 743 | 0.000133e-6,    3634.621024518, 2.836451652, | 
|---|
| 744 | 0.000134e-6,   18073.704938650, 5.453106665, | 
|---|
| 745 | 0.000134e-6,    1162.474704408, 5.326898811, | 
|---|
| 746 | 0.000128e-6,    5642.198242609, 2.511652591, | 
|---|
| 747 | 0.000160e-6,     632.783739313, 5.628785365, | 
|---|
| 748 | 0.000132e-6,   13916.019109642, 0.819294053, | 
|---|
| 749 | 0.000122e-6,   14314.168113050, 5.677408071, | 
|---|
| 750 | 0.000125e-6,   12359.966151546, 5.251984735, | 
|---|
| 751 | 0.000121e-6,    5749.452731634, 2.210924603, | 
|---|
| 752 | 0.000136e-6,    -245.831646229, 1.646502367, | 
|---|
| 753 | 0.000120e-6,    5757.317038160, 3.240883049, | 
|---|
| 754 | 0.000134e-6,   12146.667056108, 3.059480037, | 
|---|
| 755 | 0.000137e-6,    6206.809778716, 1.867105418, | 
|---|
| 756 | 0.000141e-6,   17253.041107690, 2.069217456, | 
|---|
| 757 | 0.000129e-6,   -7477.522860216, 2.781469314, | 
|---|
| 758 | 0.000116e-6,    5540.085789459, 4.281176991, | 
|---|
| 759 | 0.000116e-6,    9779.108676125, 3.320925381, | 
|---|
| 760 | 0.000129e-6,    5237.921013804, 3.497704076, | 
|---|
| 761 | 0.000113e-6,    5959.570433334, 0.983210840, | 
|---|
| 762 | 0.000122e-6,    6282.095528923, 2.674938860, | 
|---|
| 763 | 0.000140e-6,     -11.045700264, 4.957936982, | 
|---|
| 764 | 0.000108e-6,   23543.230504682, 1.390113589, | 
|---|
| 765 | 0.000106e-6,  -12569.674818332, 0.429631317, | 
|---|
| 766 | 0.000110e-6,    -266.607041722, 5.501340197, | 
|---|
| 767 | 0.000115e-6,   12559.038152982, 4.691456618, | 
|---|
| 768 | 0.000134e-6,   -2388.894020449, 0.577313584, | 
|---|
| 769 | 0.000109e-6,   10440.274292604, 6.218148717, | 
|---|
| 770 | 0.000102e-6,    -543.918059096, 1.477842615, | 
|---|
| 771 | 0.000108e-6,   21228.392023546, 2.237753948, | 
|---|
| 772 | 0.000101e-6,   -4535.059436924, 3.100492232, | 
|---|
| 773 | 0.000103e-6,      76.266071276, 5.594294322, | 
|---|
| 774 | 0.000104e-6,     949.175608970, 5.674287810, | 
|---|
| 775 | 0.000101e-6,   13517.870106233, 2.196632348, | 
|---|
| 776 | 0.000100e-6,   11933.367960670, 4.056084160, | 
|---|
| 777 | 4.322990e-6,    6283.075849991, 2.642893748, | 
|---|
| 778 | 0.406495e-6,       0.000000000, 4.712388980, | 
|---|
| 779 | 0.122605e-6,   12566.151699983, 2.438140634, | 
|---|
| 780 | 0.019476e-6,     213.299095438, 1.642186981, | 
|---|
| 781 | 0.016916e-6,     529.690965095, 4.510959344, | 
|---|
| 782 | 0.013374e-6,      -3.523118349, 1.502210314, | 
|---|
| 783 | 0.008042e-6,      26.298319800, 0.478549024, | 
|---|
| 784 | 0.007824e-6,     155.420399434, 5.254710405, | 
|---|
| 785 | 0.004894e-6,    5746.271337896, 4.683210850, | 
|---|
| 786 | 0.004875e-6,    5760.498431898, 0.759507698, | 
|---|
| 787 | 0.004416e-6,    5223.693919802, 6.028853166, | 
|---|
| 788 | 0.004088e-6,      -7.113547001, 0.060926389, | 
|---|
| 789 | 0.004433e-6,   77713.771467920, 3.627734103, | 
|---|
| 790 | 0.003277e-6,   18849.227549974, 2.327912542, | 
|---|
| 791 | 0.002703e-6,    6062.663207553, 1.271941729, | 
|---|
| 792 | 0.003435e-6,    -775.522611324, 0.747446224, | 
|---|
| 793 | 0.002618e-6,    6076.890301554, 3.633715689, | 
|---|
| 794 | 0.003146e-6,     206.185548437, 5.647874613, | 
|---|
| 795 | 0.002544e-6,    1577.343542448, 6.232904270, | 
|---|
| 796 | 0.002218e-6,    -220.412642439, 1.309509946, | 
|---|
| 797 | 0.002197e-6,    5856.477659115, 2.407212349, | 
|---|
| 798 | 0.002897e-6,    5753.384884897, 5.863842246, | 
|---|
| 799 | 0.001766e-6,     426.598190876, 0.754113147, | 
|---|
| 800 | 0.001738e-6,    -796.298006816, 2.714942671, | 
|---|
| 801 | 0.001695e-6,     522.577418094, 2.629369842, | 
|---|
| 802 | 0.001584e-6,    5507.553238667, 1.341138229, | 
|---|
| 803 | 0.001503e-6,    -242.728603974, 0.377699736, | 
|---|
| 804 | 0.001552e-6,    -536.804512095, 2.904684667, | 
|---|
| 805 | 0.001370e-6,    -398.149003408, 1.265599125, | 
|---|
| 806 | 0.001889e-6,   -5573.142801634, 4.413514859, | 
|---|
| 807 | 0.001722e-6,    6069.776754553, 2.445966339, | 
|---|
| 808 | 0.001124e-6,    1059.381930189, 5.041799657, | 
|---|
| 809 | 0.001258e-6,     553.569402842, 3.849557278, | 
|---|
| 810 | 0.000831e-6,     951.718406251, 2.471094709, | 
|---|
| 811 | 0.000767e-6,    4694.002954708, 5.363125422, | 
|---|
| 812 | 0.000756e-6,    1349.867409659, 1.046195744, | 
|---|
| 813 | 0.000775e-6,     -11.045700264, 0.245548001, | 
|---|
| 814 | 0.000597e-6,    2146.165416475, 4.543268798, | 
|---|
| 815 | 0.000568e-6,    5216.580372801, 4.178853144, | 
|---|
| 816 | 0.000711e-6,    1748.016413067, 5.934271972, | 
|---|
| 817 | 0.000499e-6,   12036.460734888, 0.624434410, | 
|---|
| 818 | 0.000671e-6,   -1194.447010225, 4.136047594, | 
|---|
| 819 | 0.000488e-6,    5849.364112115, 2.209679987, | 
|---|
| 820 | 0.000621e-6,    6438.496249426, 4.518860804, | 
|---|
| 821 | 0.000495e-6,   -6286.598968340, 1.868201275, | 
|---|
| 822 | 0.000456e-6,    5230.807466803, 1.271231591, | 
|---|
| 823 | 0.000451e-6,    5088.628839767, 0.084060889, | 
|---|
| 824 | 0.000435e-6,    5643.178563677, 3.324456609, | 
|---|
| 825 | 0.000387e-6,   10977.078804699, 4.052488477, | 
|---|
| 826 | 0.000547e-6,  161000.685737473, 2.841633844, | 
|---|
| 827 | 0.000522e-6,    3154.687084896, 2.171979966, | 
|---|
| 828 | 0.000375e-6,    5486.777843175, 4.983027306, | 
|---|
| 829 | 0.000421e-6,    5863.591206116, 4.546432249, | 
|---|
| 830 | 0.000439e-6,    7084.896781115, 0.522967921, | 
|---|
| 831 | 0.000309e-6,    2544.314419883, 3.172606705, | 
|---|
| 832 | 0.000347e-6,    4690.479836359, 1.479586566, | 
|---|
| 833 | 0.000317e-6,     801.820931124, 3.553088096, | 
|---|
| 834 | 0.000262e-6,     419.484643875, 0.606635550, | 
|---|
| 835 | 0.000248e-6,    6836.645252834, 3.014082064, | 
|---|
| 836 | 0.000245e-6,   -1592.596013633, 5.519526220, | 
|---|
| 837 | 0.000225e-6,    4292.330832950, 2.877956536, | 
|---|
| 838 | 0.000214e-6,    7234.794256242, 1.605227587, | 
|---|
| 839 | 0.000205e-6,    5767.611978898, 0.625804796, | 
|---|
| 840 | 0.000180e-6,   10447.387839604, 3.499954526, | 
|---|
| 841 | 0.000229e-6,     199.072001436, 5.632304604, | 
|---|
| 842 | 0.000214e-6,     639.897286314, 5.960227667, | 
|---|
| 843 | 0.000175e-6,    -433.711737877, 2.162417992, | 
|---|
| 844 | 0.000209e-6,     515.463871093, 2.322150893, | 
|---|
| 845 | 0.000173e-6,    6040.347246017, 2.556183691, | 
|---|
| 846 | 0.000184e-6,    6309.374169791, 4.732296790, | 
|---|
| 847 | 0.000227e-6,  149854.400134205, 5.385812217, | 
|---|
| 848 | 0.000154e-6,    8031.092263058, 5.120720920, | 
|---|
| 849 | 0.000151e-6,    5739.157790895, 4.815000443, | 
|---|
| 850 | 0.000197e-6,    7632.943259650, 0.222827271, | 
|---|
| 851 | 0.000197e-6,      74.781598567, 3.910456770, | 
|---|
| 852 | 0.000138e-6,    6055.549660552, 1.397484253, | 
|---|
| 853 | 0.000149e-6,   -6127.655450557, 5.333727496, | 
|---|
| 854 | 0.000137e-6,    3894.181829542, 4.281749907, | 
|---|
| 855 | 0.000135e-6,    9437.762934887, 5.979971885, | 
|---|
| 856 | 0.000139e-6,   -2352.866153772, 4.715630782, | 
|---|
| 857 | 0.000142e-6,    6812.766815086, 0.513330157, | 
|---|
| 858 | 0.000120e-6,   -4705.732307544, 0.194160689, | 
|---|
| 859 | 0.000131e-6,  -71430.695617928, 0.000379226, | 
|---|
| 860 | 0.000124e-6,    6279.552731642, 2.122264908, | 
|---|
| 861 | 0.000108e-6,   -6256.777530192, 0.883445696, | 
|---|
| 862 | 0.143388e-6,    6283.075849991, 1.131453581, | 
|---|
| 863 | 0.006671e-6,   12566.151699983, 0.775148887, | 
|---|
| 864 | 0.001480e-6,     155.420399434, 0.480016880, | 
|---|
| 865 | 0.000934e-6,     213.299095438, 6.144453084, | 
|---|
| 866 | 0.000795e-6,     529.690965095, 2.941595619, | 
|---|
| 867 | 0.000673e-6,    5746.271337896, 0.120415406, | 
|---|
| 868 | 0.000672e-6,    5760.498431898, 5.317009738, | 
|---|
| 869 | 0.000389e-6,    -220.412642439, 3.090323467, | 
|---|
| 870 | 0.000373e-6,    6062.663207553, 3.003551964, | 
|---|
| 871 | 0.000360e-6,    6076.890301554, 1.918913041, | 
|---|
| 872 | 0.000316e-6,     -21.340641002, 5.545798121, | 
|---|
| 873 | 0.000315e-6,    -242.728603974, 1.884932563, | 
|---|
| 874 | 0.000278e-6,     206.185548437, 1.266254859, | 
|---|
| 875 | 0.000238e-6,    -536.804512095, 4.532664830, | 
|---|
| 876 | 0.000185e-6,     522.577418094, 4.578313856, | 
|---|
| 877 | 0.000245e-6,   18849.227549974, 0.587467082, | 
|---|
| 878 | 0.000180e-6,     426.598190876, 5.151178553, | 
|---|
| 879 | 0.000200e-6,     553.569402842, 5.355983739, | 
|---|
| 880 | 0.000141e-6,    5223.693919802, 1.336556009, | 
|---|
| 881 | 0.000104e-6,    5856.477659115, 4.239842759, | 
|---|
| 882 | 0.003826e-6,    6283.075849991, 5.705257275, | 
|---|
| 883 | 0.000303e-6,   12566.151699983, 5.407132842, | 
|---|
| 884 | 0.000209e-6,     155.420399434, 1.989815753 | 
|---|
| 885 | }; | 
|---|
| 886 |  | 
|---|
| 887 | double tsol; | 
|---|
| 888 | int i, i3; | 
|---|
| 889 | double t, w0, w1, w2, w3, w4, wf, wj, wt, rdmoon, rge, rle, rtj, rts; | 
|---|
| 890 |  | 
|---|
| 891 |  | 
|---|
| 892 | /*  Time since J2000.0 in Julian millennia  */ | 
|---|
| 893 | t = ( tdb - 51544.5 ) / 365250.0; | 
|---|
| 894 |  | 
|---|
| 895 | /* -------------------- Topocentric terms ------------------------------- */ | 
|---|
| 896 |  | 
|---|
| 897 | /*  Convert UT1 to local solar time in radians */ | 
|---|
| 898 | tsol = dmod ( ut1, 1.0 ) * D2PI - wl; | 
|---|
| 899 |  | 
|---|
| 900 | /*  Planetary arguments:  taken or derived from Bretagnon 1982 | 
|---|
| 901 | **  RLp = mean longitude, mean equinox of date | 
|---|
| 902 | **  RGp = mean anomaly | 
|---|
| 903 | **  RTp = mean longitude difference, EMB minus planet */ | 
|---|
| 904 |  | 
|---|
| 905 | /*  EMB  */ | 
|---|
| 906 | rle = dmod ( t * 6283.3196666635 + 1.75347031435, D2PI ); | 
|---|
| 907 | rge = dmod ( t * 6283.019551285 + 6.24005997418, D2PI ); | 
|---|
| 908 |  | 
|---|
| 909 | /*  Jupiter  */ | 
|---|
| 910 | rtj = dmod ( t * 5753.3848591241 + 1.15392381696, D2PI ); | 
|---|
| 911 |  | 
|---|
| 912 | /*  Saturn  */ | 
|---|
| 913 | rts = dmod ( t * 6069.7767103654 + .87945355785, D2PI ); | 
|---|
| 914 |  | 
|---|
| 915 | /*  Lunar mean elongation:  derived from Meeus 1984  */ | 
|---|
| 916 | rdmoon = dmod ( t * 77713.77144 + 5.198468, D2PI ); | 
|---|
| 917 |  | 
|---|
| 918 | /*  Topocentric terms (Moyer 1981 and Murray 1983)  */ | 
|---|
| 919 | wt = u * 2.9e-14     * sin ( tsol + rts ) | 
|---|
| 920 | + u * 1e-13       * sin ( tsol - 2.0 * rge ) | 
|---|
| 921 | + u * 1.33e-13    * sin ( tsol - rdmoon ) | 
|---|
| 922 | + u * 1.33e-13    * sin ( tsol + rtj ) | 
|---|
| 923 | - u * 2.29e-13    * sin ( tsol + 2.0 * rle + rge ) | 
|---|
| 924 | - v * 2.2e-12     * sin ( rle + rge ) | 
|---|
| 925 | + u * 5.312e-12   * sin ( tsol - rge ) | 
|---|
| 926 | - u * 1.3677e-11  * sin ( tsol + 2.0 * rle ) | 
|---|
| 927 | - v * 1.3184e-10  * cos ( rle ) | 
|---|
| 928 | + u * 3.17679e-10 * sin ( tsol ); | 
|---|
| 929 |  | 
|---|
| 930 | /* --------------- Fairhead model --------------------------------------- */ | 
|---|
| 931 |  | 
|---|
| 932 | /*  T^0  */ | 
|---|
| 933 | w0 = 0.0; | 
|---|
| 934 | for ( i = 474; i >= 1; --i ) { | 
|---|
| 935 | i3 = i * 3; | 
|---|
| 936 | w0 += fairhd[i3-3] * sin ( fairhd[i3-2] * t + fairhd[i3-1] ); | 
|---|
| 937 | } | 
|---|
| 938 |  | 
|---|
| 939 | /*  T^1  */ | 
|---|
| 940 | w1 = 0.0; | 
|---|
| 941 | for ( i = 679; i >= 475; --i ) { | 
|---|
| 942 | i3 = i * 3; | 
|---|
| 943 | w1 += fairhd[i3-3] * sin ( fairhd[i3-2] * t + fairhd[i3-1] ); | 
|---|
| 944 | } | 
|---|
| 945 |  | 
|---|
| 946 | /*  T^2  */ | 
|---|
| 947 | w2 = 0.0; | 
|---|
| 948 | for ( i = 764; i >= 680; --i ) { | 
|---|
| 949 | i3 = i * 3; | 
|---|
| 950 | w2 += fairhd[i3-3] * sin ( fairhd[i3-2] * t + fairhd[i3-1] ); | 
|---|
| 951 | } | 
|---|
| 952 |  | 
|---|
| 953 | /*  T^3  */ | 
|---|
| 954 | w3 = 0.0; | 
|---|
| 955 | for ( i = 784; i >= 765; --i ) { | 
|---|
| 956 | i3 = i * 3; | 
|---|
| 957 | w3 += fairhd[i3-3] * sin ( fairhd[i3-2] * t + fairhd[i3-1] ); | 
|---|
| 958 | } | 
|---|
| 959 |  | 
|---|
| 960 | /*  T^4  */ | 
|---|
| 961 | w4 = 0.0; | 
|---|
| 962 | for ( i = 787; i >= 785; --i ) { | 
|---|
| 963 | i3 = i * 3; | 
|---|
| 964 | w4 += fairhd[i3-3] * sin ( fairhd[i3-2] * t + fairhd[i3-1] ); | 
|---|
| 965 | } | 
|---|
| 966 |  | 
|---|
| 967 | /*  Multiply by powers of T and combine  */ | 
|---|
| 968 | wf = t * ( t * ( t * ( t * w4 + w3 ) + w2 ) + w1 ) + w0; | 
|---|
| 969 |  | 
|---|
| 970 | /*  Adjustments to use JPL planetary masses instead of IAU  */ | 
|---|
| 971 | wj = sin ( t * 6069.776754 + 4.021194 ) * 6.5e-10 | 
|---|
| 972 | + sin ( t * 213.299095 + 5.543132 ) * 3.3e-10 | 
|---|
| 973 | + sin ( t * 6208.294251 + 5.696701 ) * -1.96e-9 | 
|---|
| 974 | + sin ( t * 74.781599 + 2.4359 ) * -1.73e-9 | 
|---|
| 975 | + 3.638e-8 * t * t; | 
|---|
| 976 |  | 
|---|
| 977 | /*  Final result:  TDB-TT in seconds  */ | 
|---|
| 978 | return wt + wf + wj; | 
|---|
| 979 | } | 
|---|