| line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
|
1
|
|
|
|
|
|
|
#include "erfa.h" |
|
2
|
|
|
|
|
|
|
|
|
3
|
0
|
|
|
|
|
|
int eraPmsafe(double ra1, double dec1, double pmr1, double pmd1, |
|
4
|
|
|
|
|
|
|
double px1, double rv1, |
|
5
|
|
|
|
|
|
|
double ep1a, double ep1b, double ep2a, double ep2b, |
|
6
|
|
|
|
|
|
|
double *ra2, double *dec2, double *pmr2, double *pmd2, |
|
7
|
|
|
|
|
|
|
double *px2, double *rv2) |
|
8
|
|
|
|
|
|
|
/* |
|
9
|
|
|
|
|
|
|
** - - - - - - - - - - |
|
10
|
|
|
|
|
|
|
** e r a P m s a f e |
|
11
|
|
|
|
|
|
|
** - - - - - - - - - - |
|
12
|
|
|
|
|
|
|
** |
|
13
|
|
|
|
|
|
|
** Star proper motion: update star catalog data for space motion, with |
|
14
|
|
|
|
|
|
|
** special handling to handle the zero parallax case. |
|
15
|
|
|
|
|
|
|
** |
|
16
|
|
|
|
|
|
|
** Given: |
|
17
|
|
|
|
|
|
|
** ra1 double right ascension (radians), before |
|
18
|
|
|
|
|
|
|
** dec1 double declination (radians), before |
|
19
|
|
|
|
|
|
|
** pmr1 double RA proper motion (radians/year), before |
|
20
|
|
|
|
|
|
|
** pmd1 double Dec proper motion (radians/year), before |
|
21
|
|
|
|
|
|
|
** px1 double parallax (arcseconds), before |
|
22
|
|
|
|
|
|
|
** rv1 double radial velocity (km/s, +ve = receding), before |
|
23
|
|
|
|
|
|
|
** ep1a double "before" epoch, part A (Note 1) |
|
24
|
|
|
|
|
|
|
** ep1b double "before" epoch, part B (Note 1) |
|
25
|
|
|
|
|
|
|
** ep2a double "after" epoch, part A (Note 1) |
|
26
|
|
|
|
|
|
|
** ep2b double "after" epoch, part B (Note 1) |
|
27
|
|
|
|
|
|
|
** |
|
28
|
|
|
|
|
|
|
** Returned: |
|
29
|
|
|
|
|
|
|
** ra2 double right ascension (radians), after |
|
30
|
|
|
|
|
|
|
** dec2 double declination (radians), after |
|
31
|
|
|
|
|
|
|
** pmr2 double RA proper motion (radians/year), after |
|
32
|
|
|
|
|
|
|
** pmd2 double Dec proper motion (radians/year), after |
|
33
|
|
|
|
|
|
|
** px2 double parallax (arcseconds), after |
|
34
|
|
|
|
|
|
|
** rv2 double radial velocity (km/s, +ve = receding), after |
|
35
|
|
|
|
|
|
|
** |
|
36
|
|
|
|
|
|
|
** Returned (function value): |
|
37
|
|
|
|
|
|
|
** int status: |
|
38
|
|
|
|
|
|
|
** -1 = system error (should not occur) |
|
39
|
|
|
|
|
|
|
** 0 = no warnings or errors |
|
40
|
|
|
|
|
|
|
** 1 = distance overridden (Note 6) |
|
41
|
|
|
|
|
|
|
** 2 = excessive velocity (Note 7) |
|
42
|
|
|
|
|
|
|
** 4 = solution didn't converge (Note 8) |
|
43
|
|
|
|
|
|
|
** else = binary logical OR of the above warnings |
|
44
|
|
|
|
|
|
|
** |
|
45
|
|
|
|
|
|
|
** Notes: |
|
46
|
|
|
|
|
|
|
** |
|
47
|
|
|
|
|
|
|
** 1) The starting and ending TDB epochs ep1a+ep1b and ep2a+ep2b are |
|
48
|
|
|
|
|
|
|
** Julian Dates, apportioned in any convenient way between the two |
|
49
|
|
|
|
|
|
|
** parts (A and B). For example, JD(TDB)=2450123.7 could be |
|
50
|
|
|
|
|
|
|
** expressed in any of these ways, among others: |
|
51
|
|
|
|
|
|
|
** |
|
52
|
|
|
|
|
|
|
** epNa epNb |
|
53
|
|
|
|
|
|
|
** |
|
54
|
|
|
|
|
|
|
** 2450123.7 0.0 (JD method) |
|
55
|
|
|
|
|
|
|
** 2451545.0 -1421.3 (J2000 method) |
|
56
|
|
|
|
|
|
|
** 2400000.5 50123.2 (MJD method) |
|
57
|
|
|
|
|
|
|
** 2450123.5 0.2 (date & time method) |
|
58
|
|
|
|
|
|
|
** |
|
59
|
|
|
|
|
|
|
** The JD method is the most natural and convenient to use in cases |
|
60
|
|
|
|
|
|
|
** where the loss of several decimal digits of resolution is |
|
61
|
|
|
|
|
|
|
** acceptable. The J2000 method is best matched to the way the |
|
62
|
|
|
|
|
|
|
** argument is handled internally and will deliver the optimum |
|
63
|
|
|
|
|
|
|
** resolution. The MJD method and the date & time methods are both |
|
64
|
|
|
|
|
|
|
** good compromises between resolution and convenience. |
|
65
|
|
|
|
|
|
|
** |
|
66
|
|
|
|
|
|
|
** 2) In accordance with normal star-catalog conventions, the object's |
|
67
|
|
|
|
|
|
|
** right ascension and declination are freed from the effects of |
|
68
|
|
|
|
|
|
|
** secular aberration. The frame, which is aligned to the catalog |
|
69
|
|
|
|
|
|
|
** equator and equinox, is Lorentzian and centered on the SSB. |
|
70
|
|
|
|
|
|
|
** |
|
71
|
|
|
|
|
|
|
** The proper motions are the rate of change of the right ascension |
|
72
|
|
|
|
|
|
|
** and declination at the catalog epoch and are in radians per TDB |
|
73
|
|
|
|
|
|
|
** Julian year. |
|
74
|
|
|
|
|
|
|
** |
|
75
|
|
|
|
|
|
|
** The parallax and radial velocity are in the same frame. |
|
76
|
|
|
|
|
|
|
** |
|
77
|
|
|
|
|
|
|
** 3) Care is needed with units. The star coordinates are in radians |
|
78
|
|
|
|
|
|
|
** and the proper motions in radians per Julian year, but the |
|
79
|
|
|
|
|
|
|
** parallax is in arcseconds. |
|
80
|
|
|
|
|
|
|
** |
|
81
|
|
|
|
|
|
|
** 4) The RA proper motion is in terms of coordinate angle, not true |
|
82
|
|
|
|
|
|
|
** angle. If the catalog uses arcseconds for both RA and Dec proper |
|
83
|
|
|
|
|
|
|
** motions, the RA proper motion will need to be divided by cos(Dec) |
|
84
|
|
|
|
|
|
|
** before use. |
|
85
|
|
|
|
|
|
|
** |
|
86
|
|
|
|
|
|
|
** 5) Straight-line motion at constant speed, in the inertial frame, is |
|
87
|
|
|
|
|
|
|
** assumed. |
|
88
|
|
|
|
|
|
|
** |
|
89
|
|
|
|
|
|
|
** 6) An extremely small (or zero or negative) parallax is overridden |
|
90
|
|
|
|
|
|
|
** to ensure that the object is at a finite but very large distance, |
|
91
|
|
|
|
|
|
|
** but not so large that the proper motion is equivalent to a large |
|
92
|
|
|
|
|
|
|
** but safe speed (about 0.1c using the chosen constant). A warning |
|
93
|
|
|
|
|
|
|
** status of 1 is added to the status if this action has been taken. |
|
94
|
|
|
|
|
|
|
** |
|
95
|
|
|
|
|
|
|
** 7) If the space velocity is a significant fraction of c (see the |
|
96
|
|
|
|
|
|
|
** constant VMAX in the function eraStarpv), it is arbitrarily set |
|
97
|
|
|
|
|
|
|
** to zero. When this action occurs, 2 is added to the status. |
|
98
|
|
|
|
|
|
|
** |
|
99
|
|
|
|
|
|
|
** 8) The relativistic adjustment carried out in the eraStarpv function |
|
100
|
|
|
|
|
|
|
** involves an iterative calculation. If the process fails to |
|
101
|
|
|
|
|
|
|
** converge within a set number of iterations, 4 is added to the |
|
102
|
|
|
|
|
|
|
** status. |
|
103
|
|
|
|
|
|
|
** |
|
104
|
|
|
|
|
|
|
** Called: |
|
105
|
|
|
|
|
|
|
** eraSeps angle between two points |
|
106
|
|
|
|
|
|
|
** eraStarpm update star catalog data for space motion |
|
107
|
|
|
|
|
|
|
** |
|
108
|
|
|
|
|
|
|
** Copyright (C) 2013-2019, NumFOCUS Foundation. |
|
109
|
|
|
|
|
|
|
** Derived, with permission, from the SOFA library. See notes at end of file. |
|
110
|
|
|
|
|
|
|
*/ |
|
111
|
|
|
|
|
|
|
{ |
|
112
|
|
|
|
|
|
|
|
|
113
|
|
|
|
|
|
|
/* Minimum allowed parallax (arcsec) */ |
|
114
|
|
|
|
|
|
|
const double PXMIN = 5e-7; |
|
115
|
|
|
|
|
|
|
|
|
116
|
|
|
|
|
|
|
/* Factor giving maximum allowed transverse speed of about 1% c */ |
|
117
|
|
|
|
|
|
|
const double F = 326.0; |
|
118
|
|
|
|
|
|
|
|
|
119
|
|
|
|
|
|
|
int jpx, j; |
|
120
|
|
|
|
|
|
|
double pm, px1a; |
|
121
|
|
|
|
|
|
|
|
|
122
|
|
|
|
|
|
|
|
|
123
|
|
|
|
|
|
|
/* Proper motion in one year (radians). */ |
|
124
|
0
|
|
|
|
|
|
pm = eraSeps(ra1, dec1, ra1+pmr1, dec1+pmd1); |
|
125
|
|
|
|
|
|
|
|
|
126
|
|
|
|
|
|
|
/* Override the parallax to reduce the chances of a warning status. */ |
|
127
|
|
|
|
|
|
|
jpx = 0; |
|
128
|
|
|
|
|
|
|
px1a = px1; |
|
129
|
0
|
|
|
|
|
|
pm *= F; |
|
130
|
0
|
0
|
|
|
|
|
if (px1a < pm) {jpx = 1; px1a = pm;} |
|
131
|
0
|
0
|
|
|
|
|
if (px1a < PXMIN) {jpx = 1; px1a = PXMIN;} |
|
132
|
|
|
|
|
|
|
|
|
133
|
|
|
|
|
|
|
/* Carry out the transformation using the modified parallax. */ |
|
134
|
0
|
|
|
|
|
|
j = eraStarpm(ra1, dec1, pmr1, pmd1, px1a, rv1, |
|
135
|
|
|
|
|
|
|
ep1a, ep1b, ep2a, ep2b, |
|
136
|
|
|
|
|
|
|
ra2, dec2, pmr2, pmd2, px2, rv2); |
|
137
|
|
|
|
|
|
|
|
|
138
|
|
|
|
|
|
|
/* Revise and return the status. */ |
|
139
|
0
|
0
|
|
|
|
|
if ( !(j%2) ) j += jpx; |
|
140
|
0
|
|
|
|
|
|
return j; |
|
141
|
|
|
|
|
|
|
|
|
142
|
|
|
|
|
|
|
/* Finished. */ |
|
143
|
|
|
|
|
|
|
|
|
144
|
|
|
|
|
|
|
} |
|
145
|
|
|
|
|
|
|
/*---------------------------------------------------------------------- |
|
146
|
|
|
|
|
|
|
** |
|
147
|
|
|
|
|
|
|
** |
|
148
|
|
|
|
|
|
|
** Copyright (C) 2013-2019, NumFOCUS Foundation. |
|
149
|
|
|
|
|
|
|
** All rights reserved. |
|
150
|
|
|
|
|
|
|
** |
|
151
|
|
|
|
|
|
|
** This library is derived, with permission, from the International |
|
152
|
|
|
|
|
|
|
** Astronomical Union's "Standards of Fundamental Astronomy" library, |
|
153
|
|
|
|
|
|
|
** available from http://www.iausofa.org. |
|
154
|
|
|
|
|
|
|
** |
|
155
|
|
|
|
|
|
|
** The ERFA version is intended to retain identical functionality to |
|
156
|
|
|
|
|
|
|
** the SOFA library, but made distinct through different function and |
|
157
|
|
|
|
|
|
|
** file names, as set out in the SOFA license conditions. The SOFA |
|
158
|
|
|
|
|
|
|
** original has a role as a reference standard for the IAU and IERS, |
|
159
|
|
|
|
|
|
|
** and consequently redistribution is permitted only in its unaltered |
|
160
|
|
|
|
|
|
|
** state. The ERFA version is not subject to this restriction and |
|
161
|
|
|
|
|
|
|
** therefore can be included in distributions which do not support the |
|
162
|
|
|
|
|
|
|
** concept of "read only" software. |
|
163
|
|
|
|
|
|
|
** |
|
164
|
|
|
|
|
|
|
** Although the intent is to replicate the SOFA API (other than |
|
165
|
|
|
|
|
|
|
** replacement of prefix names) and results (with the exception of |
|
166
|
|
|
|
|
|
|
** bugs; any that are discovered will be fixed), SOFA is not |
|
167
|
|
|
|
|
|
|
** responsible for any errors found in this version of the library. |
|
168
|
|
|
|
|
|
|
** |
|
169
|
|
|
|
|
|
|
** If you wish to acknowledge the SOFA heritage, please acknowledge |
|
170
|
|
|
|
|
|
|
** that you are using a library derived from SOFA, rather than SOFA |
|
171
|
|
|
|
|
|
|
** itself. |
|
172
|
|
|
|
|
|
|
** |
|
173
|
|
|
|
|
|
|
** |
|
174
|
|
|
|
|
|
|
** TERMS AND CONDITIONS |
|
175
|
|
|
|
|
|
|
** |
|
176
|
|
|
|
|
|
|
** Redistribution and use in source and binary forms, with or without |
|
177
|
|
|
|
|
|
|
** modification, are permitted provided that the following conditions |
|
178
|
|
|
|
|
|
|
** are met: |
|
179
|
|
|
|
|
|
|
** |
|
180
|
|
|
|
|
|
|
** 1 Redistributions of source code must retain the above copyright |
|
181
|
|
|
|
|
|
|
** notice, this list of conditions and the following disclaimer. |
|
182
|
|
|
|
|
|
|
** |
|
183
|
|
|
|
|
|
|
** 2 Redistributions in binary form must reproduce the above copyright |
|
184
|
|
|
|
|
|
|
** notice, this list of conditions and the following disclaimer in |
|
185
|
|
|
|
|
|
|
** the documentation and/or other materials provided with the |
|
186
|
|
|
|
|
|
|
** distribution. |
|
187
|
|
|
|
|
|
|
** |
|
188
|
|
|
|
|
|
|
** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
|
189
|
|
|
|
|
|
|
** the International Astronomical Union nor the names of its |
|
190
|
|
|
|
|
|
|
** contributors may be used to endorse or promote products derived |
|
191
|
|
|
|
|
|
|
** from this software without specific prior written permission. |
|
192
|
|
|
|
|
|
|
** |
|
193
|
|
|
|
|
|
|
** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
|
194
|
|
|
|
|
|
|
** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
|
195
|
|
|
|
|
|
|
** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
|
196
|
|
|
|
|
|
|
** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
|
197
|
|
|
|
|
|
|
** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
|
198
|
|
|
|
|
|
|
** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
|
199
|
|
|
|
|
|
|
** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
|
200
|
|
|
|
|
|
|
** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
|
201
|
|
|
|
|
|
|
** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
|
202
|
|
|
|
|
|
|
** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
|
203
|
|
|
|
|
|
|
** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
|
204
|
|
|
|
|
|
|
** POSSIBILITY OF SUCH DAMAGE. |
|
205
|
|
|
|
|
|
|
** |
|
206
|
|
|
|
|
|
|
*/ |