| line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
|
1
|
|
|
|
|
|
|
/* |
|
2
|
|
|
|
|
|
|
*+ |
|
3
|
|
|
|
|
|
|
* Name: |
|
4
|
|
|
|
|
|
|
* palRdplan |
|
5
|
|
|
|
|
|
|
|
|
6
|
|
|
|
|
|
|
* Purpose: |
|
7
|
|
|
|
|
|
|
* Approximate topocentric apparent RA,Dec of a planet |
|
8
|
|
|
|
|
|
|
|
|
9
|
|
|
|
|
|
|
* Language: |
|
10
|
|
|
|
|
|
|
* Starlink ANSI C |
|
11
|
|
|
|
|
|
|
|
|
12
|
|
|
|
|
|
|
* Type of Module: |
|
13
|
|
|
|
|
|
|
* Library routine |
|
14
|
|
|
|
|
|
|
|
|
15
|
|
|
|
|
|
|
* Invocation: |
|
16
|
|
|
|
|
|
|
* void palRdplan( double date, int np, double elong, double phi, |
|
17
|
|
|
|
|
|
|
* double * ra, double * dec, double * diam ); |
|
18
|
|
|
|
|
|
|
|
|
19
|
|
|
|
|
|
|
* Arguments: |
|
20
|
|
|
|
|
|
|
* date = double (Given) |
|
21
|
|
|
|
|
|
|
* MJD of observation (JD-2400000.5) in TDB. For all practical |
|
22
|
|
|
|
|
|
|
* purposes TT can be used instead of TDB, and for many applications |
|
23
|
|
|
|
|
|
|
* UT will do (except for the Moon). |
|
24
|
|
|
|
|
|
|
* np = int (Given) |
|
25
|
|
|
|
|
|
|
* Planet: 1 = Mercury |
|
26
|
|
|
|
|
|
|
* 2 = Venus |
|
27
|
|
|
|
|
|
|
* 3 = Moon |
|
28
|
|
|
|
|
|
|
* 4 = Mars |
|
29
|
|
|
|
|
|
|
* 5 = Jupiter |
|
30
|
|
|
|
|
|
|
* 6 = Saturn |
|
31
|
|
|
|
|
|
|
* 7 = Uranus |
|
32
|
|
|
|
|
|
|
* 8 = Neptune |
|
33
|
|
|
|
|
|
|
* else = Sun |
|
34
|
|
|
|
|
|
|
* elong = double (Given) |
|
35
|
|
|
|
|
|
|
* Observer's east longitude (radians) |
|
36
|
|
|
|
|
|
|
* phi = double (Given) |
|
37
|
|
|
|
|
|
|
* Observer's geodetic latitude (radians) |
|
38
|
|
|
|
|
|
|
* ra = double * (Returned) |
|
39
|
|
|
|
|
|
|
* RA (topocentric apparent, radians) |
|
40
|
|
|
|
|
|
|
* dec = double * (Returned) |
|
41
|
|
|
|
|
|
|
* Dec (topocentric apparent, radians) |
|
42
|
|
|
|
|
|
|
* diam = double * (Returned) |
|
43
|
|
|
|
|
|
|
* Angular diameter (equatorial, radians) |
|
44
|
|
|
|
|
|
|
|
|
45
|
|
|
|
|
|
|
* Description: |
|
46
|
|
|
|
|
|
|
* Approximate topocentric apparent RA,Dec of a planet, and its |
|
47
|
|
|
|
|
|
|
* angular diameter. |
|
48
|
|
|
|
|
|
|
|
|
49
|
|
|
|
|
|
|
* Authors: |
|
50
|
|
|
|
|
|
|
* PTW: Patrick T. Wallace |
|
51
|
|
|
|
|
|
|
* TIMJ: Tim Jenness (JAC, Hawaii) |
|
52
|
|
|
|
|
|
|
* {enter_new_authors_here} |
|
53
|
|
|
|
|
|
|
|
|
54
|
|
|
|
|
|
|
* Notes: |
|
55
|
|
|
|
|
|
|
* - Unlike with slaRdplan, Pluto is not supported. |
|
56
|
|
|
|
|
|
|
* - The longitude and latitude allow correction for geocentric |
|
57
|
|
|
|
|
|
|
* parallax. This is a major effect for the Moon, but in the |
|
58
|
|
|
|
|
|
|
* context of the limited accuracy of the present routine its |
|
59
|
|
|
|
|
|
|
* effect on planetary positions is small (negligible for the |
|
60
|
|
|
|
|
|
|
* outer planets). Geocentric positions can be generated by |
|
61
|
|
|
|
|
|
|
* appropriate use of the routines palDmoon and eraPlan94. |
|
62
|
|
|
|
|
|
|
|
|
63
|
|
|
|
|
|
|
* History: |
|
64
|
|
|
|
|
|
|
* 2012-03-07 (TIMJ): |
|
65
|
|
|
|
|
|
|
* Initial version, with some documentation from SLA/F. |
|
66
|
|
|
|
|
|
|
* Adapted with permission from the Fortran SLALIB library. |
|
67
|
|
|
|
|
|
|
* {enter_further_changes_here} |
|
68
|
|
|
|
|
|
|
|
|
69
|
|
|
|
|
|
|
* Copyright: |
|
70
|
|
|
|
|
|
|
* Copyright (C) 1997 Rutherford Appleton Laboratory |
|
71
|
|
|
|
|
|
|
* Copyright (C) 2012 Science and Technology Facilities Council. |
|
72
|
|
|
|
|
|
|
* All Rights Reserved. |
|
73
|
|
|
|
|
|
|
|
|
74
|
|
|
|
|
|
|
* Licence: |
|
75
|
|
|
|
|
|
|
* This program is free software; you can redistribute it and/or |
|
76
|
|
|
|
|
|
|
* modify it under the terms of the GNU General Public License as |
|
77
|
|
|
|
|
|
|
* published by the Free Software Foundation; either version 3 of |
|
78
|
|
|
|
|
|
|
* the License, or (at your option) any later version. |
|
79
|
|
|
|
|
|
|
* |
|
80
|
|
|
|
|
|
|
* This program is distributed in the hope that it will be |
|
81
|
|
|
|
|
|
|
* useful, but WITHOUT ANY WARRANTY; without even the implied |
|
82
|
|
|
|
|
|
|
* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
|
83
|
|
|
|
|
|
|
* PURPOSE. See the GNU General Public License for more details. |
|
84
|
|
|
|
|
|
|
* |
|
85
|
|
|
|
|
|
|
* You should have received a copy of the GNU General Public License |
|
86
|
|
|
|
|
|
|
* along with this program; if not, write to the Free Software |
|
87
|
|
|
|
|
|
|
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, |
|
88
|
|
|
|
|
|
|
* MA 02110-1301, USA. |
|
89
|
|
|
|
|
|
|
|
|
90
|
|
|
|
|
|
|
* Bugs: |
|
91
|
|
|
|
|
|
|
* {note_any_bugs_here} |
|
92
|
|
|
|
|
|
|
*- |
|
93
|
|
|
|
|
|
|
*/ |
|
94
|
|
|
|
|
|
|
|
|
95
|
|
|
|
|
|
|
#include |
|
96
|
|
|
|
|
|
|
|
|
97
|
|
|
|
|
|
|
#include "pal.h" |
|
98
|
|
|
|
|
|
|
#include "palmac.h" |
|
99
|
|
|
|
|
|
|
#include "pal1sofa.h" |
|
100
|
|
|
|
|
|
|
|
|
101
|
9
|
|
|
|
|
|
void palRdplan( double date, int np, double elong, double phi, |
|
102
|
|
|
|
|
|
|
double * ra, double * dec, double * diam ) { |
|
103
|
|
|
|
|
|
|
|
|
104
|
|
|
|
|
|
|
/* AU in km */ |
|
105
|
|
|
|
|
|
|
const double AUKM = 1.49597870e8; |
|
106
|
|
|
|
|
|
|
|
|
107
|
|
|
|
|
|
|
/* Equatorial radii (km) */ |
|
108
|
9
|
|
|
|
|
|
const double EQRAU[] = { |
|
109
|
|
|
|
|
|
|
696000.0, /* Sun */ |
|
110
|
|
|
|
|
|
|
2439.7, |
|
111
|
|
|
|
|
|
|
6051.9, |
|
112
|
|
|
|
|
|
|
1738, |
|
113
|
|
|
|
|
|
|
3397, |
|
114
|
|
|
|
|
|
|
71492, |
|
115
|
|
|
|
|
|
|
60268, |
|
116
|
|
|
|
|
|
|
25559, |
|
117
|
|
|
|
|
|
|
24764 |
|
118
|
|
|
|
|
|
|
}; |
|
119
|
|
|
|
|
|
|
|
|
120
|
|
|
|
|
|
|
/* Local variables */ |
|
121
|
|
|
|
|
|
|
int i, j; |
|
122
|
|
|
|
|
|
|
double stl; |
|
123
|
|
|
|
|
|
|
double vgm[6]; |
|
124
|
|
|
|
|
|
|
double v[6]; |
|
125
|
|
|
|
|
|
|
double rmat[3][3]; |
|
126
|
|
|
|
|
|
|
double vse[6]; |
|
127
|
|
|
|
|
|
|
double vsg[6]; |
|
128
|
|
|
|
|
|
|
double vsp[6]; |
|
129
|
|
|
|
|
|
|
double vgo[6]; |
|
130
|
|
|
|
|
|
|
double dx,dy,dz,r,tl; |
|
131
|
|
|
|
|
|
|
|
|
132
|
|
|
|
|
|
|
/* Classify np */ |
|
133
|
9
|
50
|
|
|
|
|
if (np < 0 || np > 8 ) np=0; /* Sun */ |
|
134
|
|
|
|
|
|
|
|
|
135
|
|
|
|
|
|
|
/* Approximate local sidereal time */ |
|
136
|
9
|
|
|
|
|
|
stl = palGmst( date - palDt( palEpj(date)) / 86400.0) + elong; |
|
137
|
|
|
|
|
|
|
|
|
138
|
|
|
|
|
|
|
/* Geocentre to Moon (mean of date) */ |
|
139
|
9
|
|
|
|
|
|
palDmoon( date, v ); |
|
140
|
|
|
|
|
|
|
|
|
141
|
|
|
|
|
|
|
/* Nutation to true of date */ |
|
142
|
9
|
|
|
|
|
|
palNut( date, rmat ); |
|
143
|
9
|
|
|
|
|
|
eraRxp( rmat, v, vgm ); |
|
144
|
9
|
|
|
|
|
|
eraRxp( rmat, &(v[3]), &(vgm[3]) ); |
|
145
|
|
|
|
|
|
|
|
|
146
|
|
|
|
|
|
|
/* Moon? */ |
|
147
|
9
|
100
|
|
|
|
|
if (np == 3) { |
|
148
|
|
|
|
|
|
|
|
|
149
|
|
|
|
|
|
|
/* geocentre to Moon (true of date) */ |
|
150
|
7
|
100
|
|
|
|
|
for (i=0; i<6; i++) { |
|
151
|
6
|
|
|
|
|
|
v[i] = vgm[i]; |
|
152
|
|
|
|
|
|
|
} |
|
153
|
|
|
|
|
|
|
|
|
154
|
|
|
|
|
|
|
} else { |
|
155
|
|
|
|
|
|
|
|
|
156
|
|
|
|
|
|
|
/* Not moon: precession/nutation matrix J2000 to date */ |
|
157
|
8
|
|
|
|
|
|
palPrenut( 2000.0, date, rmat ); |
|
158
|
|
|
|
|
|
|
|
|
159
|
|
|
|
|
|
|
/* Sun to Earth-Moon Barycentre (J2000) */ |
|
160
|
8
|
|
|
|
|
|
palPlanet( date, 3, v, &j ); |
|
161
|
|
|
|
|
|
|
|
|
162
|
|
|
|
|
|
|
/* Precession and nutation to date */ |
|
163
|
8
|
|
|
|
|
|
eraRxp( rmat, v, vse ); |
|
164
|
8
|
|
|
|
|
|
eraRxp( rmat, &(v[3]), &(vse[3]) ); |
|
165
|
|
|
|
|
|
|
|
|
166
|
|
|
|
|
|
|
/* Sun to geocentre (true of date) */ |
|
167
|
56
|
100
|
|
|
|
|
for (i=0; i<6; i++) { |
|
168
|
48
|
|
|
|
|
|
vsg[i] = vse[i] - 0.012150581 * vgm[i]; |
|
169
|
|
|
|
|
|
|
} |
|
170
|
|
|
|
|
|
|
|
|
171
|
|
|
|
|
|
|
/* Sun ? */ |
|
172
|
8
|
100
|
|
|
|
|
if (np == 0) { |
|
173
|
|
|
|
|
|
|
|
|
174
|
|
|
|
|
|
|
/* Geocentre to Sun */ |
|
175
|
7
|
100
|
|
|
|
|
for (i=0; i<6; i++) { |
|
176
|
6
|
|
|
|
|
|
v[i] = -vsg[i]; |
|
177
|
|
|
|
|
|
|
} |
|
178
|
|
|
|
|
|
|
|
|
179
|
|
|
|
|
|
|
} else { |
|
180
|
|
|
|
|
|
|
|
|
181
|
|
|
|
|
|
|
/* Sun to Planet (J2000) */ |
|
182
|
7
|
|
|
|
|
|
palPlanet( date, np, v, &j ); |
|
183
|
|
|
|
|
|
|
|
|
184
|
|
|
|
|
|
|
/* Precession and nutation to date */ |
|
185
|
7
|
|
|
|
|
|
eraRxp( rmat, v, vsp ); |
|
186
|
7
|
|
|
|
|
|
eraRxp( rmat, &(v[3]), &(vsp[3]) ); |
|
187
|
|
|
|
|
|
|
|
|
188
|
|
|
|
|
|
|
/* Geocentre to planet */ |
|
189
|
49
|
100
|
|
|
|
|
for (i=0; i<6; i++) { |
|
190
|
42
|
|
|
|
|
|
v[i] = vsp[i] - vsg[i]; |
|
191
|
|
|
|
|
|
|
} |
|
192
|
|
|
|
|
|
|
|
|
193
|
|
|
|
|
|
|
} |
|
194
|
|
|
|
|
|
|
|
|
195
|
|
|
|
|
|
|
} |
|
196
|
|
|
|
|
|
|
|
|
197
|
|
|
|
|
|
|
/* Refer to origina at the observer */ |
|
198
|
9
|
|
|
|
|
|
palPvobs( phi, 0.0, stl, vgo ); |
|
199
|
63
|
100
|
|
|
|
|
for (i=0; i<6; i++) { |
|
200
|
54
|
|
|
|
|
|
v[i] -= vgo[i]; |
|
201
|
|
|
|
|
|
|
} |
|
202
|
|
|
|
|
|
|
|
|
203
|
|
|
|
|
|
|
/* Geometric distance (AU) */ |
|
204
|
9
|
|
|
|
|
|
dx = v[0]; |
|
205
|
9
|
|
|
|
|
|
dy = v[1]; |
|
206
|
9
|
|
|
|
|
|
dz = v[2]; |
|
207
|
9
|
|
|
|
|
|
r = sqrt( dx*dx + dy*dy + dz*dz ); |
|
208
|
|
|
|
|
|
|
|
|
209
|
|
|
|
|
|
|
/* Light time */ |
|
210
|
9
|
|
|
|
|
|
tl = PAL__CR * r; |
|
211
|
|
|
|
|
|
|
|
|
212
|
|
|
|
|
|
|
/* Correct position for planetary aberration */ |
|
213
|
36
|
100
|
|
|
|
|
for (i=0; i<3; i++) { |
|
214
|
27
|
|
|
|
|
|
v[i] -= tl * v[i+3]; |
|
215
|
|
|
|
|
|
|
} |
|
216
|
|
|
|
|
|
|
|
|
217
|
|
|
|
|
|
|
/* To RA,Dec */ |
|
218
|
9
|
|
|
|
|
|
eraC2s( v, ra, dec ); |
|
219
|
9
|
|
|
|
|
|
*ra = eraAnp( *ra ); |
|
220
|
|
|
|
|
|
|
|
|
221
|
|
|
|
|
|
|
/* Angular diameter (radians) */ |
|
222
|
9
|
|
|
|
|
|
*diam = 2.0 * asin( EQRAU[np] / (r * AUKM ) ); |
|
223
|
|
|
|
|
|
|
|
|
224
|
9
|
|
|
|
|
|
} |