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/* |
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*+ |
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* Name: |
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* palPertel |
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6
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* Purpose: |
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* Update elements by applying planetary perturbations |
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* Language: |
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* Starlink ANSI C |
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* Type of Module: |
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* Library routine |
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15
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* Invocation: |
16
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* void palPertel (int jform, double date0, double date1, |
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* double epoch0, double orbi0, double anode0, |
18
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* double perih0, double aorq0, double e0, double am0, |
19
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* double *epoch1, double *orbi1, double *anode1, |
20
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* double *perih1, double *aorq1, double *e1, double *am1, |
21
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* int *jstat ); |
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23
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* Arguments: |
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* jform = int (Given) |
25
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* Element set actually returned (1-3; Note 6) |
26
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* date0 = double (Given) |
27
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* Date of osculation (TT MJD) for the given elements. |
28
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* date1 = double (Given) |
29
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* Date of osculation (TT MJD) for the updated elements. |
30
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* epoch0 = double (Given) |
31
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* Epoch of elements (TT MJD) |
32
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* orbi0 = double (Given) |
33
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* inclination (radians) |
34
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* anode0 = double (Given) |
35
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* longitude of the ascending node (radians) |
36
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* perih0 = double (Given) |
37
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* longitude or argument of perihelion (radians) |
38
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* aorq0 = double (Given) |
39
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* mean distance or perihelion distance (AU) |
40
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* e0 = double (Given) |
41
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* eccentricity |
42
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* am0 = double (Given) |
43
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* mean anomaly (radians, JFORM=2 only) |
44
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* epoch1 = double * (Returned) |
45
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* Epoch of elements (TT MJD) |
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* orbi1 = double * (Returned) |
47
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* inclination (radians) |
48
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* anode1 = double * (Returned) |
49
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* longitude of the ascending node (radians) |
50
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* perih1 = double * (Returned) |
51
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* longitude or argument of perihelion (radians) |
52
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* aorq1 = double * (Returned) |
53
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* mean distance or perihelion distance (AU) |
54
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* e1 = double * (Returned) |
55
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* eccentricity |
56
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* am1 = double * (Returned) |
57
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* mean anomaly (radians, JFORM=2 only) |
58
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* jstat = int * (Returned) |
59
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* status: |
60
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* - +102 = warning, distant epoch |
61
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* - +101 = warning, large timespan ( > 100 years) |
62
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* - +1 to +10 = coincident with planet (Note 6) |
63
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* - 0 = OK |
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* - -1 = illegal JFORM |
65
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* - -2 = illegal E0 |
66
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* - -3 = illegal AORQ0 |
67
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* - -4 = internal error |
68
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* - -5 = numerical error |
69
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70
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* Description: |
71
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* Update the osculating orbital elements of an asteroid or comet by |
72
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* applying planetary perturbations. |
73
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74
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* Authors: |
75
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* PTW: Pat Wallace (STFC) |
76
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* TIMJ: Tim Jenness (JAC, Hawaii) |
77
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* {enter_new_authors_here} |
78
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79
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* Notes: |
80
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* - Two different element-format options are available: |
81
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* |
82
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* Option JFORM=2, suitable for minor planets: |
83
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* |
84
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* EPOCH = epoch of elements (TT MJD) |
85
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* ORBI = inclination i (radians) |
86
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* ANODE = longitude of the ascending node, big omega (radians) |
87
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* PERIH = argument of perihelion, little omega (radians) |
88
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* AORQ = mean distance, a (AU) |
89
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* E = eccentricity, e |
90
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* AM = mean anomaly M (radians) |
91
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* |
92
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* Option JFORM=3, suitable for comets: |
93
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* |
94
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* EPOCH = epoch of perihelion (TT MJD) |
95
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* ORBI = inclination i (radians) |
96
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* ANODE = longitude of the ascending node, big omega (radians) |
97
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* PERIH = argument of perihelion, little omega (radians) |
98
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* AORQ = perihelion distance, q (AU) |
99
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* E = eccentricity, e |
100
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* |
101
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* - DATE0, DATE1, EPOCH0 and EPOCH1 are all instants of time in |
102
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* the TT timescale (formerly Ephemeris Time, ET), expressed |
103
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* as Modified Julian Dates (JD-2400000.5). |
104
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* |
105
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* DATE0 is the instant at which the given (i.e. unperturbed) |
106
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* osculating elements are correct. |
107
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* |
108
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* DATE1 is the specified instant at which the updated osculating |
109
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* elements are correct. |
110
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* |
111
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* EPOCH0 and EPOCH1 will be the same as DATE0 and DATE1 |
112
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* (respectively) for the JFORM=2 case, normally used for minor |
113
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* planets. For the JFORM=3 case, the two epochs will refer to |
114
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* perihelion passage and so will not, in general, be the same as |
115
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* DATE0 and/or DATE1 though they may be similar to one another. |
116
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* - The elements are with respect to the J2000 ecliptic and equinox. |
117
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* - Unused elements (AM0 and AM1 for JFORM=3) are not accessed. |
118
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* - See the palPertue routine for details of the algorithm used. |
119
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* - This routine is not intended to be used for major planets, which |
120
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* is why JFORM=1 is not available and why there is no opportunity |
121
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* to specify either the longitude of perihelion or the daily |
122
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* motion. However, if JFORM=2 elements are somehow obtained for a |
123
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* major planet and supplied to the routine, sensible results will, |
124
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* in fact, be produced. This happens because the palPertue routine |
125
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* that is called to perform the calculations checks the separation |
126
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* between the body and each of the planets and interprets a |
127
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* suspiciously small value (0.001 AU) as an attempt to apply it to |
128
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* the planet concerned. If this condition is detected, the |
129
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* contribution from that planet is ignored, and the status is set to |
130
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* the planet number (1-10 = Mercury, Venus, EMB, Mars, Jupiter, |
131
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* Saturn, Uranus, Neptune, Earth, Moon) as a warning. |
132
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* |
133
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* See Also: |
134
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* - Sterne, Theodore E., "An Introduction to Celestial Mechanics", |
135
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* Interscience Publishers Inc., 1960. Section 6.7, p199. |
136
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137
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* History: |
138
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* 2012-03-12 (TIMJ): |
139
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* Initial version direct conversion of SLA/F. |
140
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* Adapted with permission from the Fortran SLALIB library. |
141
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* {enter_further_changes_here} |
142
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143
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* Copyright: |
144
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* Copyright (C) 2004 Patrick T. Wallace |
145
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* Copyright (C) 2012 Science and Technology Facilities Council. |
146
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* All Rights Reserved. |
147
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148
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* Licence: |
149
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* This program is free software; you can redistribute it and/or |
150
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* modify it under the terms of the GNU General Public License as |
151
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* published by the Free Software Foundation; either version 3 of |
152
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* the License, or (at your option) any later version. |
153
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* |
154
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* This program is distributed in the hope that it will be |
155
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* useful, but WITHOUT ANY WARRANTY; without even the implied |
156
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* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
157
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* PURPOSE. See the GNU General Public License for more details. |
158
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* |
159
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* You should have received a copy of the GNU General Public License |
160
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* along with this program; if not, write to the Free Software |
161
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, |
162
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* MA 02110-1301, USA. |
163
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164
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* Bugs: |
165
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* {note_any_bugs_here} |
166
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*- |
167
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*/ |
168
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169
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#include "pal.h" |
170
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171
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2
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void palPertel (int jform, double date0, double date1, |
172
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double epoch0, double orbi0, double anode0, |
173
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double perih0, double aorq0, double e0, double am0, |
174
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double *epoch1, double *orbi1, double *anode1, |
175
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double *perih1, double *aorq1, double *e1, double *am1, |
176
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int *jstat ) { |
177
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178
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double u[13], dm; |
179
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int j, jf; |
180
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181
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/* Check that the elements are either minor-planet or comet format. */ |
182
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2
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50
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if (jform < 2 || jform > 3) { |
183
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0
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*jstat = -1; |
184
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0
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return; |
185
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} else { |
186
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187
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/* Provisionally set the status to OK. */ |
188
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2
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*jstat = 0; |
189
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} |
190
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191
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/* Transform the elements from conventional to universal form. */ |
192
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2
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palEl2ue(date0,jform,epoch0,orbi0,anode0,perih0, |
193
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aorq0,e0,am0,0.0,u,&j); |
194
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2
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50
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if (j != 0) { |
195
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0
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*jstat = j; |
196
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0
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return; |
197
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} |
198
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199
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/* Update the universal elements. */ |
200
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2
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palPertue(date1,u,&j); |
201
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2
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50
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if (j > 0) { |
202
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0
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*jstat = j; |
203
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2
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50
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} else if (j < 0) { |
204
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0
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*jstat = -5; |
205
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0
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return; |
206
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} |
207
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208
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/* Transform from universal to conventional elements. */ |
209
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2
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palUe2el(u, jform, &jf, epoch1, orbi1, anode1, perih1, |
210
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aorq1, e1, am1, &dm, &j); |
211
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2
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50
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if (jf != jform || j != 0) *jstat = -5; |
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50
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212
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} |