1
/************************************************************************
3
The Ephemerides of the Martian satellites
4
(adjustement from 1877 to 2005, Version 1.0)
5
by Valery Lainey can be obtained from Valery Lainey:
7
V.Lainey (Lainey@oma.be)
8
ROB- 3, Avenue Circulaire, B-1180 Bruxelles (Belgium)
9
IMCCE - 77, Avenue Denfert-Rochereau 75014 Paris (France)
11
-----------------------------------------------------------------------
13
I (Johannes Gajdosik) have just taken Valery Laineys Fortran code,
14
MarsSatV1-0.f, which he kindly supplied, and rearranged it into
15
this piece of software.
17
I can neigther allow nor forbid the usage of Valery Laineys
18
Ephemerides of the Martian satellites.
19
The copyright notice below covers not the work of Valery Lainey
20
but just my work, that is the compilation of Valery Laineys
21
Ephemerides of the Martian satellites into the software supplied in this file.
24
Copyright (c) 2006 Johannes Gajdosik
26
Permission is hereby granted, free of charge, to any person obtaining a
27
copy of this software and associated documentation files (the "Software"),
28
to deal in the Software without restriction, including without limitation
29
the rights to use, copy, modify, merge, publish, distribute, sublicense,
30
and/or sell copies of the Software, and to permit persons to whom the
31
Software is furnished to do so, subject to the following conditions:
33
The above copyright notice and this permission notice shall be included
34
in all copies or substantial portions of the Software.
36
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
37
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
38
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
39
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
40
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
41
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
44
My modifications to the "Ephemerides of the Martian satellites" as implemented
46
1) do not calculate constant terms at runtime but beforehand
47
2) unite terms with the same frequencies
49
****************************************************************/
52
#include "elliptic_to_rectangular.h"
55
#include <string.h> /* memcpy */
59
double phase,frequency,amplitude;
62
struct MarsSatTermList {
63
const struct MarsSatTerm *terms;
71
const struct MarsSatTermList lists[4];
74
static const struct MarsSatTerm mars_sat_phobos_0[16] = {
75
{ 5.013490350126586e+00, 2.715567382195733e+01, 4.537539999999999e-09},
76
{ 6.839910590780000e-01, 1.969446151585829e+01, 7.312000000000000e-10},
77
{ 4.514031245592586e+00, 4.073350897245015e+01, 7.785599999999993e-10},
78
{ 5.531351678889586e+00, 1.357783661756435e+01, 3.529399999999985e-10},
79
{ 5.700307292822586e+00, 4.685013393001369e+01, 2.094599999999994e-10},
80
{ 4.228062220664587e+00, 5.431134764391466e+01, 9.139999999999999e-11},
81
{ 1.167907583017500e+00, 7.461211875946264e+00, 6.204000000000000e-11},
82
{ 5.197274703601086e+00, 6.042797388545593e+01, 5.295999999999951e-11},
83
{ 5.160045430868086e+00, 3.938582310889583e+01, 1.811999999999999e-11},
84
{ 2.223277229900500e+00, 5.777452001970681e+01, 1.563999999999897e-11},
85
{ 6.921616240614999e-01, 2.103904892768837e+01, 1.535999999999999e-11},
86
{ 6.215802752555586e+00, 3.327229783044108e+01, 1.304000000000000e-11},
87
{ 1.368231494011000e+00, 3.938892179708230e+01, 1.661999999999999e-11},
88
{ 2.601539199675000e-01, 7.446011234647927e+00, 1.328000000000000e-11},
89
{ 5.903845687100000e-02, 3.941932465627423e+01, 8.559999999999978e-12},
90
{ 6.179310844209586e+00, 5.911910805492755e+01, 7.240000000000000e-12},
93
static const struct MarsSatTerm mars_sat_phobos_1[42] = {
94
{ 5.334169568271586e+00, 9.145914066599032e-03, 5.016848130000000e-05},
95
{ 5.334169148295587e+00, 9.145914113327495e-03, 5.016848130000000e-05},
96
{ 3.805345265960000e-01, 1.540952541904328e-03, 3.350264970000000e-05},
97
{ 3.805339484960000e-01, 1.540952613104260e-03, 3.350264903000000e-05},
98
{ 5.288363718535586e+00, 1.829243888046791e-02, 2.827839093000000e-05},
99
{ 5.288363809359586e+00, 1.829243887034939e-02, 2.827839093000000e-05},
100
{ 3.412685718051586e+00, 7.604696023359408e-03, 1.578862428000000e-05},
101
{ 3.412685998796586e+00, 7.604695992157328e-03, 1.578862427000000e-05},
102
{ 3.448999855869586e+00, 2.715567616927210e+01, 3.008844320000000e-05},
103
{ 9.194445444030001e-01, 3.101144183892481e-03, 8.178563170000001e-06},
104
{ 9.194443192780000e-01, 3.101144208596499e-03, 8.178563340000000e-06},
105
{ 5.387625479307586e+00, 1.969446275049270e+01, 2.044327843999999e-05},
106
{ 2.848996739890000e+00, 2.743829098982358e-02, 6.516951720000000e-06},
107
{ 2.848996748767000e+00, 2.743829098862537e-02, 6.516951720000000e-06},
108
{ 3.954411167839586e+00, 1.357783808463605e+01, 1.013316988000000e-05},
109
{ 2.912659283736000e+00, 4.073351425390815e+01, 7.483468759999740e-06},
110
{ 4.067858164824586e+00, 2.589727369338346e-02, 2.589359390000000e-06},
111
{ 4.067857973471586e+00, 2.589727371473152e-02, 2.589359390000000e-06},
112
{ 3.776271613850000e-01, 3.658417828853650e-02, 1.125147420000000e-06},
113
{ 3.776267985560000e-01, 3.658417832900902e-02, 1.125147420000000e-06},
114
{ 4.121936540919586e+00, 4.685014091671000e+01, 1.523532599999976e-06},
115
{ 1.231836210236000e+00, 1.674957754399965e-02, 4.976512300000000e-07},
116
{ 1.231836585135000e+00, 1.674957750247454e-02, 4.976512300000000e-07},
117
{ 2.488083095032000e+00, 1.520386207875350e-02, 6.841966800000000e-07},
118
{ 2.488083105051000e+00, 1.520386207728190e-02, 6.841966800000000e-07},
119
{ 1.576141880659500e+00, 3.504321962396548e-02, 1.124868580000000e-06},
120
{ 6.145328698142587e+00, 6.116624841770791e+00, 7.873411399999999e-07},
121
{ 2.626756105114500e+00, 5.431135233854420e+01, 1.040645720000000e-06},
122
{ 2.759579551372000e+00, 7.461213382164448e+00, 7.166789399999994e-07},
123
{ 6.005673273380586e+00, 1.314187651672942e+00, 6.022022799999936e-07},
124
{ 9.353090056600000e-02, 7.532115638546220e-04, 1.964976900000000e-07},
125
{ 9.343265452500001e-02, 7.532237916966188e-04, 1.964964500000000e-07},
126
{ 4.302928383505000e-01, 3.938582557777600e+01, 4.987307800000000e-07},
127
{ 3.587439959397586e+00, 6.042797969706294e+01, 4.804827999999994e-07},
128
{ 4.183547650369587e+00, 4.572998195120822e-02, 1.747133100000000e-07},
129
{ 4.183547815926586e+00, 4.572998193123842e-02, 1.747133100000000e-07},
130
{ 5.589444380180586e+00, 6.068411018120026e-03, 1.793076700000000e-07},
131
{ 5.589445119118587e+00, 6.068410936124942e-03, 1.793076800000000e-07},
132
{ 6.062696336024086e+00, 3.938892673561993e+01, 2.653755199999908e-07},
133
{ 4.628882088425586e+00, 3.327230135427769e+01, 2.539272800000000e-07},
134
{ 4.736462571780586e+00, 1.224558395734566e-02, 1.254715400000000e-07},
135
{ 4.736462588777586e+00, 1.224558396211886e-02, 1.254715500000000e-07},
138
static const struct MarsSatTerm mars_sat_phobos_2[27] = {
139
{ 1.404382124885000e+00, 7.595588511174286e-03, 1.514110912521000e-02},
140
{ 2.088385523034000e+00, 1.970205682773437e+01, 3.849620867400000e-04},
141
{ 3.895377361148586e+00, 1.069670280268190e-02, 6.903413242000000e-05},
142
{ 4.989572094750000e-01,-7.605272825959576e-03, 4.946101994000000e-05},
143
{ 8.215210221720000e-01, 4.685772969905357e+01, 3.671320788000000e-05},
144
{ 3.378076387479586e+00,-7.453616316894914e+00, 3.267983782000000e-05},
145
{ 2.772375719698000e+00, 3.939651873194720e+01, 8.750483050000000e-06},
146
{ 2.839303414769000e+00, 6.124220388371520e+00, 6.170938810000000e-06},
147
{ 3.184503170430000e-01, 6.043556479692822e+01, 6.957005940000000e-06},
148
{ 1.410329121503000e+00, 1.984322681200531e-02, 5.734088960000000e-06},
149
{ 1.336796551701000e+00, 3.327989343110183e+01, 3.431577860000000e-06},
150
{ 3.853646745987586e+00,-2.103145308554279e+01, 4.037409510000000e-06},
151
{ 2.547067366210000e-01, 1.549665594221090e-03, 2.115296220000000e-06},
152
{ 1.508224230072000e+00,-5.911151611514718e+01, 1.904827620000000e-06},
153
{ 3.462607551400000e-02,-5.165030141480156e+01, 8.696094700000001e-07},
154
{ 3.198655314207586e+00, 9.152774292423818e-03, 6.329868200000000e-07},
155
{ 5.163954670916587e+00, 1.674080796065678e-02, 6.130317800000000e-07},
156
{ 7.803937436990001e-01,-1.550610622055567e-03, 5.737217100000000e-07},
157
{ 3.264588234538586e+00, 2.716326950857758e+01, 8.181088300000000e-07},
158
{ 5.211329429707586e+00, 2.898903518276566e-02, 7.434145300000000e-07},
159
{ 2.691716763490000e+00,-2.714807769012140e+01, 5.441647800000001e-07},
160
{ 1.001733960626000e+00,-4.553367734785991e+01, 5.044515000000000e-07},
161
{ 3.212149602842586e+00,-1.968376490094933e+01, 4.284599100000000e-07},
162
{ 4.145658249560586e+00,-3.460928932187340e+01, 4.224937300000000e-07},
163
{ 5.063879137454586e+00, 2.589097180762378e-02, 3.581949800000000e-07},
164
{ 2.558639707373000e+00, 6.064928432880783e-03, 3.808881200000000e-07},
165
{ 5.292499025555586e+00, 3.075065445597794e-03, 4.055739200000000e-07},
168
static const struct MarsSatTerm mars_sat_phobos_3[28] = {
169
{ 2.058107128488000e+00,-7.604861328578004e-03, 9.408605183120001e-03},
170
{ 3.248856489376586e+00,-9.145863467943084e-03, 5.699538102000000e-05},
171
{ 4.557280987272586e+00, 1.829238959116374e-02, 2.474369483000000e-05},
172
{ 6.113423353213586e+00, 7.595702278066188e-03, 2.062715397000000e-05},
173
{ 2.067112903892000e+00, 2.743825478464904e-02, 5.945574160000000e-06},
174
{ 1.700689207004000e+00, 9.145729527513899e-03, 3.920190200000000e-06},
175
{ 3.577059353926586e+00,-1.829259493439447e-02, 2.167791970000000e-06},
176
{ 4.940284891770586e+00,-7.453616316894914e+00, 2.769763750000000e-06},
177
{ 2.117885747855000e+00, 3.941171892425920e+01, 1.813539170000000e-06},
178
{ 5.176055365230000e-01, 1.970205682773437e+01, 1.083429180000000e-06},
179
{ 5.864248782211586e+00, 3.658425999636452e-02, 1.066657010000000e-06},
180
{ 3.240692168340586e+00, 2.589639535977297e-02, 7.909853300000000e-07},
181
{ 7.570751994340000e-01,-1.321790869500707e+00, 8.880885099999999e-07},
182
{ 6.608910796060000e-01, 6.124220388371520e+00, 5.520758900000000e-07},
183
{ 5.519669134088586e+00, 4.685772969905357e+01, 4.397886000000000e-07},
184
{ 5.844000094873587e+00,-2.743825733444110e-02, 4.583609100000000e-07},
185
{ 4.602755395228586e+00,-1.675516082048598e-02, 3.533131100000000e-07},
186
{ 2.685649467156000e+00, 1.542518910643103e-03, 3.502988500000000e-07},
187
{ 3.353176877809586e+00, 1.225604581839110e+01, 3.828851700000000e-07},
188
{ 2.556761413073000e+00, 1.068971473943851e-02, 2.711247300000000e-07},
189
{ 4.622369718415587e+00,-2.589682634097252e-02, 1.991745400000000e-07},
190
{ 7.497690894330000e-01, 3.504362063026418e-02, 2.036897700000000e-07},
191
{ 3.965205602751586e+00, 2.714806830611846e+01, 1.726779600000000e-07},
192
{ 4.743858488241586e+00,-2.103145308554279e+01, 1.574472800000000e-07},
193
{ 3.405870070134586e+00, 4.572380100924578e-02, 1.698567700000000e-07},
194
{ 3.742380849210000e-01, 3.327989343110183e+01, 1.015004500000000e-07},
195
{ 1.374678754422000e+00,-1.970206671243377e+01, 8.259149000000001e-08},
196
{ 1.140160118874000e+00,-6.108652383295211e-03, 8.504923000000000e-08},
199
static const struct MarsSatTerm mars_sat_deimos_0[25] = {
200
{ 6.146803530569087e+00, 2.294413036846356e+00, 5.398360000000000e-09},
201
{ 3.432805186019586e+00, 9.935735425667586e+00, 7.095199999999997e-10},
202
{ 4.356581106602587e+00, 3.441619555269535e+00, 3.737800000000000e-10},
203
{ 5.915601483397086e+00, 9.926589650598594e+00, 2.337400000000000e-10},
204
{ 1.615243161446500e+00, 1.147206518423178e+00, 1.697000000000000e-10},
205
{ 2.114704906116000e+00, 9.917443791162608e+00, 5.314000000000000e-11},
206
{ 9.393388277920001e-01, 9.954027953247621e+00, 7.046000000000000e-11},
207
{ 3.949494792732586e+00, 9.944881541450725e+00, 4.233999999999998e-11},
208
{ 2.089322391969500e+00, 2.294097606691310e+00, 2.813999999999983e-11},
209
{ 7.795571756865000e-01, 2.294728469946876e+00, 2.549999999999971e-11},
210
{ 2.361851669664500e+00, 4.588826073692712e+00, 1.676000000000000e-11},
211
{ 2.770026883578500e+00, 9.954658773106329e+00, 9.719999999999976e-12},
212
{ 4.733522308629587e+00, 9.963173826265681e+00, 9.519999999999998e-12},
213
{ 3.258781379519086e+00, 1.472506551307767e+01, 9.739999999999990e-12},
214
{ 4.596299836113586e+00, 9.908297894321850e+00, 1.027999999999982e-11},
215
{ 3.057688443346500e+00, 2.682916339604879e+00, 6.679999999999999e-12},
216
{ 5.453932177963086e+00, 2.682285947505377e+00, 6.879999999999995e-12},
217
{ 4.328499239462586e+00, 9.936050924435195e+00, 6.199999999999996e-12},
218
{ 2.168321380562000e+00, 4.976699000854042e+00, 5.359999999999916e-12},
219
{ 2.516818588675000e+00, 9.935420104041299e+00, 3.359999999999995e-12},
220
{ 2.997827070725000e-01, 3.441304123224338e+00, 2.919999999999998e-12},
221
{ 2.143143420462500e+00, 2.682600911813873e+00, 2.979999999999999e-12},
222
{ 5.271781540988586e+00, 3.441934988580561e+00, 2.640000000000000e-12},
223
{ 5.382287205930000e-01, 9.926905039305762e+00, 2.039999999999966e-12},
224
{ 3.629187963751586e+00, 2.303558945733479e+00, 1.090000000000000e-12},
227
static const struct MarsSatTerm mars_sat_deimos_1[21] = {
228
{ 2.488175621789000e+00, 3.153377646687549e-04, 2.483031660190000e-03},
229
{ 2.488175634463000e+00, 3.153377641537758e-04, 2.483031659490000e-03},
230
{ 5.336889264964586e+00, 9.145915158660612e-03, 2.023426978200000e-04},
231
{ 5.336889346905586e+00, 9.145915155199243e-03, 2.023426978200000e-04},
232
{ 5.281538321363586e+00, 1.829244561727392e-02, 1.043167564200000e-04},
233
{ 5.281537958522586e+00, 1.829244563271799e-02, 1.043167564300000e-04},
234
{ 1.433490018835500e+00, 2.294413045224799e+00, 1.637133774599998e-04},
235
{ 2.852007788337500e+00, 2.743818628432718e-02, 4.820671420000000e-05},
236
{ 3.147176604035586e+00, 1.860783561096842e-02, 1.497066023000000e-05},
237
{ 3.147176307034586e+00, 1.860783562364318e-02, 1.497066034000000e-05},
238
{ 3.182516662993086e+00, 1.147206709032795e+00, 1.137028858000000e-05},
239
{ 5.917181875408586e+00, 3.441620120814550e+00, 8.350609860000001e-06},
240
{ 3.544871659744586e+00, 6.190897763118658e-04, 4.383254500000000e-06},
241
{ 3.544871649035586e+00, 6.190897769462623e-04, 4.383254500000000e-06},
242
{ 4.614193383590000e-01, 3.657933964533806e-02, 8.316176420000001e-06},
243
{ 6.754222685930000e-01, 2.775277029221846e-02, 6.447587580000001e-06},
244
{ 5.001640850015586e+00, 9.935735582783501e+00, 7.926687400000001e-06},
245
{ 4.485218623803586e+00, 8.828439970895009e-03, 3.905064210000000e-06},
246
{ 2.221013917980000e-01, 9.464721723028089e-03, 3.117801830000000e-06},
247
{ 4.485218622895586e+00, 8.828439971019056e-03, 3.905064210000000e-06},
248
{ 2.221013944660000e-01, 9.464721722885516e-03, 3.117801830000000e-06},
251
static const struct MarsSatTerm mars_sat_deimos_2[15] = {
252
{ 2.198649419514000e+00, 3.148401892560942e-04, 2.744131534600000e-04},
253
{ 4.366636518977586e+00, 4.977013897776327e+00, 6.015912711000000e-05},
254
{ 1.463816210370000e+00,-3.153164045300449e-04, 3.614585349000000e-05},
255
{ 1.362467588064000e+00, 2.682600831640474e+00, 2.577157903000000e-05},
256
{ 9.336792893320000e-01,-4.958721582505435e+00, 6.801997830000000e-06},
257
{ 3.152432010349586e+00, 1.535394310272536e+00, 4.452979140000000e-06},
258
{ 4.734051493918586e+00,-4.949575691510945e+00, 2.238482920000000e-06},
259
{ 5.736642853342587e+00, 2.327524649334390e-04, 1.478747570000000e-06},
260
{ 5.084945958505586e+00, 3.912335403634271e-04, 1.457720040000000e-06},
261
{ 4.232770650771586e+00, 7.271426904652134e+00, 1.347030310000000e-06},
262
{ 1.516439412109000e+00, 1.491274947692300e+01, 7.538179100000001e-07},
263
{ 3.100618466711000e+00, 1.797748798526167e-02, 8.716229700000000e-07},
264
{ 5.155432690964586e+00, 3.881877876517008e-01, 1.015648880000000e-06},
265
{ 2.250768124831000e+00,-4.940429834739583e+00, 5.090989300000000e-07},
266
{ 3.422251338868586e+00,-4.977013897776327e+00, 6.537077500000000e-07},
269
static const struct MarsSatTerm mars_sat_deimos_3[27] = {
270
{ 2.981506933511000e+00,-3.154811355556041e-04, 1.562693319959000e-02},
271
{ 4.557500894366586e+00, 1.829233626168517e-02, 1.321818631100000e-04},
272
{ 3.248124065112586e+00,-9.145934570587952e-03, 3.833652719000000e-05},
273
{ 1.701551338710000e+00, 9.145665986601770e-03, 2.660211842000000e-05},
274
{ 2.067662003165000e+00, 2.743821959085702e-02, 2.882438535000000e-05},
275
{ 4.805327222478586e+00, 3.158564952832469e-04, 2.713213911000000e-05},
276
{ 2.318788380092000e+00, 1.860776219134252e-02, 9.296324950000000e-06},
277
{ 3.613580709014586e+00,-1.829261290520875e-02, 4.460960290000000e-06},
278
{ 5.867810550672586e+00, 3.658405181871115e-02, 4.904156030000000e-06},
279
{ 5.496515547817586e+00,-9.461294099629817e-03, 2.366881150000000e-06},
280
{ 6.120362957845586e+00, 2.775361064625920e-02, 2.057552850000000e-06},
281
{ 3.612389208841586e+00, 8.830178627407989e-03, 2.365750140000000e-06},
282
{ 5.554163001934587e+00,-1.860800990265229e-02, 1.228814440000000e-06},
283
{ 3.561485983136586e+00, 1.797648948023003e-02, 1.215189460000000e-06},
284
{ 1.941975361869000e+00,-6.259843043363501e-04, 9.602856999999999e-07},
285
{ 5.845244776759587e+00,-2.743819348074506e-02, 1.174471770000000e-06},
286
{ 1.821048365911000e+00, 9.460829229838182e-03, 1.058441050000000e-06},
287
{ 7.587135454610000e-01, 1.682177864988152e-04, 2.383147490000000e-06},
288
{ 3.292891638604586e+00, 4.573365667404765e-02, 7.656303800000000e-07},
289
{ 3.766016108380586e+00, 3.683140215171970e-02, 4.075824300000000e-07},
290
{ 5.747244956219586e+00, 9.954342722363187e+00, 4.962340900000000e-07},
291
{ 1.724062868741000e+00,-2.774017744689255e-02, 3.003077900000000e-07},
292
{ 4.429747729642586e+00,-8.904754331211824e-03, 2.613416400000000e-07},
293
{ 8.659161909010000e-01, 2.718340176462802e-02, 2.891945200000000e-07},
294
{ 2.259603352363000e+00,-3.660152378331885e-02, 2.213788200000000e-07},
295
{ 1.108725025984000e+00, 9.935732440466172e+00, 2.449950300000000e-07},
296
{ 1.680391963791000e+00, 9.076040299352415e-03, 1.652416600000000e-07},
299
static const struct MarsSatBody mars_sat_bodies[2] = {
301
"phobos", 9.549547741038312e-11, 1.970205562831390e+01, 1.657852042683113e-10,
311
{mars_sat_phobos_0,16},
312
{mars_sat_phobos_1,42},
313
{mars_sat_phobos_2,27},
314
{mars_sat_phobos_3,28}
318
"deimos", 9.549547622768120e-11, 4.977013889652300e+00, -2.331793571572226e-14,
328
{mars_sat_deimos_0,25},
329
{mars_sat_deimos_1,21},
330
{mars_sat_deimos_2,15},
331
{mars_sat_deimos_3,27}
337
void CalcMarsSatElem(double t,int body,double elem[6]) {
338
const struct MarsSatBody *bp = mars_sat_bodies + body;
339
memcpy(elem,bp->constants,6*sizeof(double));
342
const struct MarsSatTerm *const begin = bp->lists[j].terms;
343
const struct MarsSatTerm *p = begin + bp->lists[j].size;
344
while (--p >= begin) {
345
const double d = p->phase + t*p->frequency;
346
elem[j] += p->amplitude * cos(d);
350
const struct MarsSatTerm *const begin = bp->lists[j].terms;
351
const struct MarsSatTerm *p = begin + bp->lists[j].size;
352
while (--p >= begin) {
353
const double d = p->phase + t*p->frequency;
354
elem[2*j-2] += p->amplitude * cos(d);
355
elem[2*j-1] += p->amplitude * sin(d);
358
elem[1] = fmod(elem[1] + (bp->l + bp->acc * t) * t, 2*M_PI);
359
if (elem[1] < 0.0) elem[1] += 2*M_PI;
364
void MultMat(const double a[9],const double b[9],double c[9]) {
368
c[i*3+j] = a[i*3]*b[j] + a[i*3+1]*b[3+j] + a[i*3+2]*b[6+j];
373
static const double J2000_to_VSOP87[9] = {
374
9.999999999998848e-01,-4.799655442984222e-07, 0.000000000000000e+00,
375
4.403598133110236e-07, 9.174821370868568e-01, 3.977769829016507e-01,
376
-1.909192461077750e-07,-3.977769829016049e-01, 9.174821370869625e-01};
378
static const double ome0 = 47.68143;
379
static const double inc0 = 37.1135;
380
static const double dome = -0.1061;
381
static const double dinc = 0.0609;
384
void GenerateMarsSatToVSOP87(double t,double mars_sat_to_vsop87[9]) {
386
const double ome = (ome0 + dome * t / 36525.) * (M_PI/180.0);
387
const double inc = (inc0 + dinc * t / 36525.) * (M_PI/180.0);
388
const double co = cos(ome);
389
const double so = sin(ome);
390
const double ci = cos(inc);
391
const double si = sin(inc);
392
const double m[9] = {co,-ci*so, si*so,
395
MultMat(J2000_to_VSOP87,m,mars_sat_to_vsop87);
398
void GetMarsSatCoor(double jd,int body,double *xyz) {
399
/* dirty caching in static variables */
400
static double t_old = -1e99;
401
static double elem[2*6];
402
static double mars_sat_to_vsop87[9];
403
const double t = jd - 2451545.0 + 6491.5;
404
if (fabs(t-t_old) > 0.5/48.0) {
405
t_old = (floor(t*48.0)+0.5)/48.0;
406
CalcMarsSatElem(t_old,0,elem+(0*6));
407
CalcMarsSatElem(t_old,1,elem+(1*6));
408
GenerateMarsSatToVSOP87(t_old,mars_sat_to_vsop87);
411
EllipticToRectangularA(mars_sat_bodies[body].mu,elem+(body*6),t-t_old,x);
412
xyz[0] = mars_sat_to_vsop87[0]*x[0]
413
+ mars_sat_to_vsop87[1]*x[1]
414
+ mars_sat_to_vsop87[2]*x[2];
415
xyz[1] = mars_sat_to_vsop87[3]*x[0]
416
+ mars_sat_to_vsop87[4]*x[1]
417
+ mars_sat_to_vsop87[5]*x[2];
418
xyz[2] = mars_sat_to_vsop87[6]*x[0]
419
+ mars_sat_to_vsop87[7]*x[1]
420
+ mars_sat_to_vsop87[8]*x[2];
421
// printf("%d %18.9lf %15.12lf %15.12lf %15.12lf\n",
422
// body,jd,xyz[0],xyz[1],xyz[2]);
added
removed
src/stellplanet/marssat.c
