line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
1
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/* |
2
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*+ |
3
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* Name: |
4
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* palPlante |
5
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6
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* Purpose: |
7
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* Topocentric RA,Dec of a Solar-System object from heliocentric orbital elements |
8
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9
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* Language: |
10
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* Starlink ANSI C |
11
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12
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* Type of Module: |
13
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* Library routine |
14
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15
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* Invocation: |
16
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* void palPlante ( double date, double elong, double phi, int jform, |
17
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* double epoch, double orbinc, double anode, double perih, |
18
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* double aorq, double e, double aorl, double dm, |
19
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* double *ra, double *dec, double *r, int *jstat ); |
20
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21
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22
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* Description: |
23
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* Topocentric apparent RA,Dec of a Solar-System object whose |
24
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* heliocentric orbital elements are known. |
25
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26
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* Arguments: |
27
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* date = double (Given) |
28
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* TT MJD of observation (JD-2400000.5) |
29
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* elong = double (Given) |
30
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* Observer's east longitude (radians) |
31
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* phi = double (Given) |
32
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* Observer's geodetic latitude (radians) |
33
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* jform = int (Given) |
34
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* Element set actually returned (1-3; Note 6) |
35
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* epoch = double (Given) |
36
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* Epoch of elements (TT MJD) |
37
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* orbinc = double (Given) |
38
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* inclination (radians) |
39
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* anode = double (Given) |
40
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* longitude of the ascending node (radians) |
41
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* perih = double (Given) |
42
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* longitude or argument of perihelion (radians) |
43
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* aorq = double (Given) |
44
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* mean distance or perihelion distance (AU) |
45
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* e = double (Given) |
46
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* eccentricity |
47
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* aorl = double (Given) |
48
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* mean anomaly or longitude (radians, JFORM=1,2 only) |
49
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* dm = double (Given) |
50
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* daily motion (radians, JFORM=1 only) |
51
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* ra = double * (Returned) |
52
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* Topocentric apparent RA (radians) |
53
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* dec = double * (Returned) |
54
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* Topocentric apparent Dec (radians) |
55
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* r = double * (Returned) |
56
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* Distance from observer (AU) |
57
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* jstat = int * (Returned) |
58
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* status: 0 = OK |
59
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* - -1 = illegal jform |
60
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* - -2 = illegal e |
61
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* - -3 = illegal aorq |
62
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* - -4 = illegal dm |
63
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* - -5 = numerical error |
64
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65
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* Authors: |
66
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* PTW: Pat Wallace (STFC) |
67
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* TIMJ: Tim Jenness (JAC, Hawaii) |
68
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* {enter_new_authors_here} |
69
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70
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* Notes: |
71
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* - DATE is the instant for which the prediction is required. It is |
72
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* in the TT timescale (formerly Ephemeris Time, ET) and is a |
73
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* Modified Julian Date (JD-2400000.5). |
74
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* - The longitude and latitude allow correction for geocentric |
75
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* parallax. This is usually a small effect, but can become |
76
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* important for near-Earth asteroids. Geocentric positions can be |
77
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* generated by appropriate use of routines palEpv (or palEvp) and |
78
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* palUe2pv. |
79
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* - The elements are with respect to the J2000 ecliptic and equinox. |
80
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* - A choice of three different element-set options is available: |
81
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* |
82
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* Option JFORM = 1, suitable for the major planets: |
83
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* |
84
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* EPOCH = epoch of elements (TT MJD) |
85
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* ORBINC = inclination i (radians) |
86
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* ANODE = longitude of the ascending node, big omega (radians) |
87
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* PERIH = longitude of perihelion, curly pi (radians) |
88
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* AORQ = mean distance, a (AU) |
89
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* E = eccentricity, e (range 0 to <1) |
90
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* AORL = mean longitude L (radians) |
91
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* DM = daily motion (radians) |
92
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* |
93
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* Option JFORM = 2, suitable for minor planets: |
94
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* |
95
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* EPOCH = epoch of elements (TT MJD) |
96
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* ORBINC = inclination i (radians) |
97
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* ANODE = longitude of the ascending node, big omega (radians) |
98
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* PERIH = argument of perihelion, little omega (radians) |
99
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* AORQ = mean distance, a (AU) |
100
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* E = eccentricity, e (range 0 to <1) |
101
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* AORL = mean anomaly M (radians) |
102
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* |
103
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* Option JFORM = 3, suitable for comets: |
104
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* |
105
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* EPOCH = epoch of elements and perihelion (TT MJD) |
106
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* ORBINC = inclination i (radians) |
107
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* ANODE = longitude of the ascending node, big omega (radians) |
108
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* PERIH = argument of perihelion, little omega (radians) |
109
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* AORQ = perihelion distance, q (AU) |
110
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* E = eccentricity, e (range 0 to 10) |
111
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* |
112
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* Unused arguments (DM for JFORM=2, AORL and DM for JFORM=3) are not |
113
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* accessed. |
114
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* - Each of the three element sets defines an unperturbed heliocentric |
115
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* orbit. For a given epoch of observation, the position of the body |
116
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* in its orbit can be predicted from these elements, which are |
117
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* called "osculating elements", using standard two-body analytical |
118
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* solutions. However, due to planetary perturbations, a given set |
119
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* of osculating elements remains usable for only as long as the |
120
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* unperturbed orbit that it describes is an adequate approximation |
121
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* to reality. Attached to such a set of elements is a date called |
122
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* the "osculating epoch", at which the elements are, momentarily, |
123
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* a perfect representation of the instantaneous position and |
124
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* velocity of the body. |
125
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* |
126
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* Therefore, for any given problem there are up to three different |
127
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* epochs in play, and it is vital to distinguish clearly between |
128
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* them: |
129
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* |
130
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* . The epoch of observation: the moment in time for which the |
131
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* position of the body is to be predicted. |
132
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* |
133
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* . The epoch defining the position of the body: the moment in time |
134
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* at which, in the absence of purturbations, the specified |
135
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* position (mean longitude, mean anomaly, or perihelion) is |
136
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* reached. |
137
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* |
138
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* . The osculating epoch: the moment in time at which the given |
139
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* elements are correct. |
140
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* |
141
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* For the major-planet and minor-planet cases it is usual to make |
142
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* the epoch that defines the position of the body the same as the |
143
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* epoch of osculation. Thus, only two different epochs are |
144
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* involved: the epoch of the elements and the epoch of observation. |
145
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* |
146
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* For comets, the epoch of perihelion fixes the position in the |
147
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* orbit and in general a different epoch of osculation will be |
148
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* chosen. Thus, all three types of epoch are involved. |
149
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* |
150
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* For the present routine: |
151
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* |
152
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* . The epoch of observation is the argument DATE. |
153
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* |
154
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* . The epoch defining the position of the body is the argument |
155
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* EPOCH. |
156
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* |
157
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* . The osculating epoch is not used and is assumed to be close |
158
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* enough to the epoch of observation to deliver adequate accuracy. |
159
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* If not, a preliminary call to palPertel may be used to update |
160
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* the element-set (and its associated osculating epoch) by |
161
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* applying planetary perturbations. |
162
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* - Two important sources for orbital elements are Horizons, operated |
163
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* by the Jet Propulsion Laboratory, Pasadena, and the Minor Planet |
164
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* Center, operated by the Center for Astrophysics, Harvard. |
165
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* |
166
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* The JPL Horizons elements (heliocentric, J2000 ecliptic and |
167
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* equinox) correspond to PAL/SLALIB arguments as follows. |
168
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* |
169
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* Major planets: |
170
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* |
171
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* JFORM = 1 |
172
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* EPOCH = JDCT-2400000.5 |
173
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* ORBINC = IN (in radians) |
174
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* ANODE = OM (in radians) |
175
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* PERIH = OM+W (in radians) |
176
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* AORQ = A |
177
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* E = EC |
178
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* AORL = MA+OM+W (in radians) |
179
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* DM = N (in radians) |
180
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* |
181
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* Epoch of osculation = JDCT-2400000.5 |
182
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* |
183
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* Minor planets: |
184
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* |
185
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* JFORM = 2 |
186
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* EPOCH = JDCT-2400000.5 |
187
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* ORBINC = IN (in radians) |
188
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* ANODE = OM (in radians) |
189
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* PERIH = W (in radians) |
190
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* AORQ = A |
191
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* E = EC |
192
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* AORL = MA (in radians) |
193
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* |
194
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* Epoch of osculation = JDCT-2400000.5 |
195
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* |
196
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* Comets: |
197
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* |
198
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* JFORM = 3 |
199
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* EPOCH = Tp-2400000.5 |
200
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* ORBINC = IN (in radians) |
201
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* ANODE = OM (in radians) |
202
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* PERIH = W (in radians) |
203
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* AORQ = QR |
204
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* E = EC |
205
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* |
206
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* Epoch of osculation = JDCT-2400000.5 |
207
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* |
208
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* The MPC elements correspond to SLALIB arguments as follows. |
209
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* |
210
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* Minor planets: |
211
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* |
212
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* JFORM = 2 |
213
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* EPOCH = Epoch-2400000.5 |
214
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* ORBINC = Incl. (in radians) |
215
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* ANODE = Node (in radians) |
216
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* PERIH = Perih. (in radians) |
217
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* AORQ = a |
218
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* E = e |
219
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* AORL = M (in radians) |
220
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* |
221
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* Epoch of osculation = Epoch-2400000.5 |
222
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* |
223
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* Comets: |
224
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* |
225
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* JFORM = 3 |
226
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* EPOCH = T-2400000.5 |
227
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* ORBINC = Incl. (in radians) |
228
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* ANODE = Node. (in radians) |
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* PERIH = Perih. (in radians) |
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* AORQ = q |
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* E = e |
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* |
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* Epoch of osculation = Epoch-2400000.5 |
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* History: |
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* 2012-03-12 (TIMJ): |
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* Initial version direct conversion of SLA/F. |
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* Adapted with permission from the Fortran SLALIB library. |
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* {enter_further_changes_here} |
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* Copyright: |
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* Copyright (C) 2004 Patrick T. Wallace |
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* Copyright (C) 2012 Science and Technology Facilities Council. |
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* All Rights Reserved. |
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* Licence: |
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* This program is free software; you can redistribute it and/or |
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* modify it under the terms of the GNU General Public License as |
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* published by the Free Software Foundation; either version 3 of |
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* the License, or (at your option) any later version. |
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* |
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* This program is distributed in the hope that it will be |
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* useful, but WITHOUT ANY WARRANTY; without even the implied |
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* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
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* PURPOSE. See the GNU General Public License for more details. |
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* |
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* You should have received a copy of the GNU General Public License |
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* along with this program; if not, write to the Free Software |
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, |
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* MA 02110-1301, USA. |
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262
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* Bugs: |
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* {note_any_bugs_here} |
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*- |
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*/ |
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267
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#include "pal.h" |
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269
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1
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void palPlante ( double date, double elong, double phi, int jform, |
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double epoch, double orbinc, double anode, double perih, |
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double aorq, double e, double aorl, double dm, |
272
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double *ra, double *dec, double *r, int *jstat ) { |
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274
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double u[13]; |
275
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276
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/* Transform conventional elements to universal elements */ |
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1
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palEl2ue( date, jform, epoch, orbinc, anode, perih, aorq, e, aorl, |
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dm, u, jstat ); |
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280
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/* If succcessful, make the prediction */ |
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1
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50
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if (*jstat == 0) palPlantu( date, elong, phi, u, ra, dec, r, jstat ); |
282
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283
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1
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} |
284
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285
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286
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