| 1 | #include "slalib.h"
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| 2 | #include "slamac.h"
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| 3 | void slaPertel (int jform, double date0, double date1,
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| 4 | double epoch0, double orbi0, double anode0,
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| 5 | double perih0, double aorq0, double e0, double am0,
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| 6 | double *epoch1, double *orbi1, double *anode1,
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| 7 | double *perih1, double *aorq1, double *e1, double *am1,
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| 8 | int *jstat )
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| 9 | /*
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| 10 | ** - - - - - - - - - -
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| 11 | ** s l a P e r t e l
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| 12 | ** - - - - - - - - - -
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| 13 | **
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| 14 | ** Update the osculating orbital elements of an asteroid or comet by
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| 15 | ** applying planetary perturbations.
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| 16 | **
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| 17 | ** Given (format and dates):
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| 18 | ** jform int choice of element set (2 or 3; Note 1)
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| 19 | ** date0 double date of osculation (TT MJD) for the given elements
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| 20 | ** date1 double date of osculation (TT MJD) for the updated elements
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| 21 | **
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| 22 | ** Given (the unperturbed elements):
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| 23 | ** epoch0 double epoch (TT MJD) of the given element set (Note 2)
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| 24 | ** orbi0 double inclination (radians)
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| 25 | ** anode0 double longitude of the ascending node (radians)
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| 26 | ** perih0 double argument of perihelion (radians)
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| 27 | ** aorq0 double mean distance or perihelion distance (AU)
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| 28 | ** e0 double eccentricity
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| 29 | ** am0 double mean anomaly (radians, jform=2 only)
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| 30 | **
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| 31 | ** Returned (the updated elements):
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| 32 | ** epoch1 double* epoch (TT MJD) of the updated element set (Note 2)
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| 33 | ** orbi1 double* inclination (radians)
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| 34 | ** anode1 double* longitude of the ascending node (radians)
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| 35 | ** perih1 double* argument of perihelion (radians)
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| 36 | ** aorq1 double* mean distance or perihelion distance (AU)
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| 37 | ** e1 double* eccentricity
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| 38 | ** am1 double* mean anomaly (radians, jform=2 only)
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| 39 | **
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| 40 | ** Returned (status flag):
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| 41 | ** jstat int* status: +102 = warning, distant epoch
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| 42 | ** +101 = warning, large timespan ( > 100 years)
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| 43 | ** +1 to +8 = coincident with major planet (Note 6)
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| 44 | ** 0 = OK
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| 45 | ** -1 = illegal jform
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| 46 | ** -2 = illegal e0
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| 47 | ** -3 = illegal aorq0
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| 48 | ** -4 = internal error
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| 49 | ** -5 = numerical error
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| 50 | **
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| 51 | ** Notes:
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| 52 | **
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| 53 | ** 1 Two different element-format options are available:
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| 54 | **
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| 55 | ** Option jform=2, suitable for minor planets:
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| 56 | **
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| 57 | ** epoch = epoch of elements (TT MJD)
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| 58 | ** orbi = inclination i (radians)
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| 59 | ** anode = longitude of the ascending node, big omega (radians)
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| 60 | ** perih = argument of perihelion, little omega (radians)
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| 61 | ** aorq = mean distance, a (AU)
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| 62 | ** e = eccentricity, e
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| 63 | ** am = mean anomaly M (radians)
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| 64 | **
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| 65 | ** Option jform=3, suitable for comets:
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| 66 | **
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| 67 | ** epoch = epoch of perihelion (TT MJD)
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| 68 | ** orbi = inclination i (radians)
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| 69 | ** anode = longitude of the ascending node, big omega (radians)
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| 70 | ** perih = argument of perihelion, little omega (radians)
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| 71 | ** aorq = perihelion distance, q (AU)
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| 72 | ** e = eccentricity, e
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| 73 | **
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| 74 | ** 2 date0, date1, epoch0 and epoch1 are all instants of time in
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| 75 | ** the TT timescale (formerly Ephemeris Time, ET), expressed
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| 76 | ** as Modified Julian Dates (JD-2400000.5).
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| 77 | **
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| 78 | ** date0 is the instant at which the given (i.e. unperturbed)
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| 79 | ** osculating elements are correct.
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| 80 | **
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| 81 | ** date1 is the specified instant at which the updated osculating
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| 82 | ** elements are correct.
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| 83 | **
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| 84 | ** epoch0 and epoch1 will be the same as date0 and date1
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| 85 | ** (respectively) for the jform=2 case, normally used for minor
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| 86 | ** planets. For the jform=3 case, the two epochs will refer to
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| 87 | ** perihelion passage and so will not, in general, be the same as
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| 88 | ** date0 and/or date1 though they may be similar to one another.
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| 89 | **
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| 90 | ** 3 The elements are with respect to the J2000 ecliptic and equinox.
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| 91 | **
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| 92 | ** 4 Unused elements (am0 and am1 for jform=3) are not accessed.
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| 93 | **
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| 94 | ** 5 See the slaPertue routine for details of the algorithm used.
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| 95 | **
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| 96 | ** 6 This routine is not intended to be used for major planets, which
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| 97 | ** is why jform=1 is not available and why there is no opportunity
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| 98 | ** to specify either the longitude of perihelion or the daily
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| 99 | ** motion. However, if jform=2 elements are somehow obtained for a
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| 100 | ** major planet and supplied to the routine, sensible results will,
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| 101 | ** in fact, be produced. This happens because the slaPertue routine
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| 102 | ** that is called to perform the calculations checks the separation
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| 103 | ** between the body and each of the planets and interprets a
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| 104 | ** suspiciously small value (1E-3 AU) as an attempt to apply it to
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| 105 | ** the planet concerned. If this condition is detected, the
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| 106 | ** contribution from that planet is ignored, and the status is set to
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| 107 | ** the planet number (Mercury=1,...,Neptune=8) as a warning.
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| 108 | **
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| 109 | ** Reference:
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| 110 | **
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| 111 | ** Sterne, Theodore E., "An Introduction to Celestial Mechanics",
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| 112 | ** Interscience Publishers Inc., 1960. Section 6.7, p199.
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| 113 | **
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| 114 | ** Called: slaEl2ue, slaPertue, slaUe2el
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| 115 | **
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| 116 | ** Last revision: 14 March 1999
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| 117 | **
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| 118 | ** Copyright 1999 P.T.Wallace. All rights reserved.
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| 119 | */
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| 120 | {
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| 121 | double u[13], dm;
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| 122 | int j, jf;
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| 123 |
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| 124 |
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| 125 | /* Check that the elements are either minor-planet or comet format. */
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| 126 | if ( jform < 2 || jform > 3 ) {
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| 127 | *jstat = -1;
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| 128 | return;
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| 129 | }
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| 130 |
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| 131 | /* Transform the elements from conventional to universal form. */
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| 132 | slaEl2ue ( date0, jform, epoch0, orbi0, anode0, perih0,
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| 133 | aorq0, e0, am0, 0.0, u, &j );
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| 134 | if ( j ) {
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| 135 | *jstat = j;
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| 136 | return;
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| 137 | }
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| 138 |
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| 139 | /* Update the universal elements. */
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| 140 | slaPertue ( date1, u, &j );
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| 141 | if ( j > 0 ) {
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| 142 | *jstat = j;
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| 143 | } else if ( j < 0 ) {
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| 144 | *jstat = -5;
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| 145 | return;
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| 146 | }
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| 147 |
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| 148 | /* Transform from universal to conventional elements. */
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| 149 | slaUe2el ( u, 2,
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| 150 | &jf, epoch1, orbi1, anode1, perih1, aorq1, e1, am1, &dm, &j );
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| 151 | if ( jf != jform || j ) *jstat = -5;
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| 152 |
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| 153 | }
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