forked from iraf-community/iraf
-
Notifications
You must be signed in to change notification settings - Fork 0
/
dmoon.f
659 lines (618 loc) · 27.3 KB
/
dmoon.f
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
SUBROUTINE slDMON (DATE, PV)
*+
* - - - - - -
* D M O N
* - - - - - -
*
* Approximate geocentric position and velocity of the Moon
* (double precision)
*
* Given:
* DATE D TDB (loosely ET) as a Modified Julian Date
* (JD-2400000.5)
*
* Returned:
* PV D(6) Moon x,y,z,xdot,ydot,zdot, mean equator and
* equinox of date (AU, AU/s)
*
* Notes:
*
* 1 This routine is a full implementation of the algorithm
* published by Meeus (see reference).
*
* 2 Meeus quotes accuracies of 10 arcsec in longitude, 3 arcsec in
* latitude and 0.2 arcsec in HP (equivalent to about 20 km in
* distance). Comparison with JPL DE200 over the interval
* 1960-2025 gives RMS errors of 3.7 arcsec and 83 mas/hour in
* longitude, 2.3 arcsec and 48 mas/hour in latitude, 11 km
* and 81 mm/s in distance. The maximum errors over the same
* interval are 18 arcsec and 0.50 arcsec/hour in longitude,
* 11 arcsec and 0.24 arcsec/hour in latitude, 40 km and 0.29 m/s
* in distance.
*
* 3 The original algorithm is expressed in terms of the obsolete
* timescale Ephemeris Time. Either TDB or TT can be used, but
* not UT without incurring significant errors (30 arcsec at
* the present time) due to the Moon's 0.5 arcsec/sec movement.
*
* 4 The algorithm is based on pre IAU 1976 standards. However,
* the result has been moved onto the new (FK5) equinox, an
* adjustment which is in any case much smaller than the
* intrinsic accuracy of the procedure.
*
* 5 Velocity is obtained by a complete analytical differentiation
* of the Meeus model.
*
* Reference:
* Meeus, l'Astronomie, June 1984, p348.
*
* P.T.Wallace Starlink 22 January 1998
*
* Copyright (C) 1998 Rutherford Appleton Laboratory
*
* License:
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program (see SLA_CONDITIONS); if not, write to the
* Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
* Boston, MA 02110-1301 USA
*
* Copyright (C) 1995 Association of Universities for Research in Astronomy Inc.
*-
IMPLICIT NONE
DOUBLE PRECISION DATE,PV(6)
* Degrees, arcseconds and seconds of time to radians
DOUBLE PRECISION D2R,DAS2R,DS2R
PARAMETER (D2R=0.0174532925199432957692369D0,
: DAS2R=4.848136811095359935899141D-6,
: DS2R=7.272205216643039903848712D-5)
* Seconds per Julian century (86400*36525)
DOUBLE PRECISION CJ
PARAMETER (CJ=3155760000D0)
* Julian epoch of B1950
DOUBLE PRECISION B1950
PARAMETER (B1950=1949.9997904423D0)
* Earth equatorial radius in AU ( = 6378.137 / 149597870 )
DOUBLE PRECISION ERADAU
PARAMETER (ERADAU=4.2635212653763D-5)
DOUBLE PRECISION T,THETA,SINOM,COSOM,DOMCOM,WA,DWA,WB,DWB,WOM,
: DWOM,SINWOM,COSWOM,V,DV,COEFF,EMN,EMPN,DN,FN,EN,
: DEN,DTHETA,FTHETA,EL,DEL,B,DB,BF,DBF,P,DP,SP,R,
: DR,X,Y,Z,XD,YD,ZD,SEL,CEL,SB,CB,RCB,RBD,W,EPJ,
: EQCOR,EPS,SINEPS,COSEPS,ES,EC
INTEGER N,I
*
* Coefficients for fundamental arguments
*
* at J1900: T**0, T**1, T**2, T**3
* at epoch: T**0, T**1
*
* Units are degrees for position and Julian centuries for time
*
* Moon's mean longitude
DOUBLE PRECISION ELP0,ELP1,ELP2,ELP3,ELP,DELP
PARAMETER (ELP0=270.434164D0,
: ELP1=481267.8831D0,
: ELP2=-0.001133D0,
: ELP3=0.0000019D0)
* Sun's mean anomaly
DOUBLE PRECISION EM0,EM1,EM2,EM3,EM,DEM
PARAMETER (EM0=358.475833D0,
: EM1=35999.0498D0,
: EM2=-0.000150D0,
: EM3=-0.0000033D0)
* Moon's mean anomaly
DOUBLE PRECISION EMP0,EMP1,EMP2,EMP3,EMP,DEMP
PARAMETER (EMP0=296.104608D0,
: EMP1=477198.8491D0,
: EMP2=0.009192D0,
: EMP3=0.0000144D0)
* Moon's mean elongation
DOUBLE PRECISION D0,D1,D2,D3,D,DD
PARAMETER (D0=350.737486D0,
: D1=445267.1142D0,
: D2=-0.001436D0,
: D3=0.0000019D0)
* Mean distance of the Moon from its ascending node
DOUBLE PRECISION F0,F1,F2,F3,F,DF
PARAMETER (F0=11.250889D0,
: F1=483202.0251D0,
: F2=-0.003211D0,
: F3=-0.0000003D0)
* Longitude of the Moon's ascending node
DOUBLE PRECISION OM0,OM1,OM2,OM3,OM,DOM
PARAMETER (OM0=259.183275D0,
: OM1=-1934.1420D0,
: OM2=0.002078D0,
: OM3=0.0000022D0)
* Coefficients for (dimensionless) E factor
DOUBLE PRECISION E1,E2,E,DE,ESQ,DESQ
PARAMETER (E1=-0.002495D0,E2=-0.00000752D0)
* Coefficients for periodic variations etc
DOUBLE PRECISION PAC,PA0,PA1
PARAMETER (PAC=0.000233D0,PA0=51.2D0,PA1=20.2D0)
DOUBLE PRECISION PBC
PARAMETER (PBC=-0.001778D0)
DOUBLE PRECISION PCC
PARAMETER (PCC=0.000817D0)
DOUBLE PRECISION PDC
PARAMETER (PDC=0.002011D0)
DOUBLE PRECISION PEC,PE0,PE1,PE2
PARAMETER (PEC=0.003964D0,
: PE0=346.560D0,PE1=132.870D0,PE2=-0.0091731D0)
DOUBLE PRECISION PFC
PARAMETER (PFC=0.001964D0)
DOUBLE PRECISION PGC
PARAMETER (PGC=0.002541D0)
DOUBLE PRECISION PHC
PARAMETER (PHC=0.001964D0)
DOUBLE PRECISION PIC
PARAMETER (PIC=-0.024691D0)
DOUBLE PRECISION PJC,PJ0,PJ1
PARAMETER (PJC=-0.004328D0,PJ0=275.05D0,PJ1=-2.30D0)
DOUBLE PRECISION CW1
PARAMETER (CW1=0.0004664D0)
DOUBLE PRECISION CW2
PARAMETER (CW2=0.0000754D0)
*
* Coefficients for Moon position
*
* Tx(N) = coefficient of L, B or P term (deg)
* ITx(N,1-5) = coefficients of M, M', D, F, E**n in argument
*
INTEGER NL,NB,NP
PARAMETER (NL=50,NB=45,NP=31)
DOUBLE PRECISION TL(NL),TB(NB),TP(NP)
INTEGER ITL(5,NL),ITB(5,NB),ITP(5,NP)
*
* Longitude
* M M' D F n
DATA TL( 1)/ +6.288750D0 /,
: (ITL(I, 1),I=1,5)/ +0, +1, +0, +0, 0 /
DATA TL( 2)/ +1.274018D0 /,
: (ITL(I, 2),I=1,5)/ +0, -1, +2, +0, 0 /
DATA TL( 3)/ +0.658309D0 /,
: (ITL(I, 3),I=1,5)/ +0, +0, +2, +0, 0 /
DATA TL( 4)/ +0.213616D0 /,
: (ITL(I, 4),I=1,5)/ +0, +2, +0, +0, 0 /
DATA TL( 5)/ -0.185596D0 /,
: (ITL(I, 5),I=1,5)/ +1, +0, +0, +0, 1 /
DATA TL( 6)/ -0.114336D0 /,
: (ITL(I, 6),I=1,5)/ +0, +0, +0, +2, 0 /
DATA TL( 7)/ +0.058793D0 /,
: (ITL(I, 7),I=1,5)/ +0, -2, +2, +0, 0 /
DATA TL( 8)/ +0.057212D0 /,
: (ITL(I, 8),I=1,5)/ -1, -1, +2, +0, 1 /
DATA TL( 9)/ +0.053320D0 /,
: (ITL(I, 9),I=1,5)/ +0, +1, +2, +0, 0 /
DATA TL(10)/ +0.045874D0 /,
: (ITL(I,10),I=1,5)/ -1, +0, +2, +0, 1 /
DATA TL(11)/ +0.041024D0 /,
: (ITL(I,11),I=1,5)/ -1, +1, +0, +0, 1 /
DATA TL(12)/ -0.034718D0 /,
: (ITL(I,12),I=1,5)/ +0, +0, +1, +0, 0 /
DATA TL(13)/ -0.030465D0 /,
: (ITL(I,13),I=1,5)/ +1, +1, +0, +0, 1 /
DATA TL(14)/ +0.015326D0 /,
: (ITL(I,14),I=1,5)/ +0, +0, +2, -2, 0 /
DATA TL(15)/ -0.012528D0 /,
: (ITL(I,15),I=1,5)/ +0, +1, +0, +2, 0 /
DATA TL(16)/ -0.010980D0 /,
: (ITL(I,16),I=1,5)/ +0, -1, +0, +2, 0 /
DATA TL(17)/ +0.010674D0 /,
: (ITL(I,17),I=1,5)/ +0, -1, +4, +0, 0 /
DATA TL(18)/ +0.010034D0 /,
: (ITL(I,18),I=1,5)/ +0, +3, +0, +0, 0 /
DATA TL(19)/ +0.008548D0 /,
: (ITL(I,19),I=1,5)/ +0, -2, +4, +0, 0 /
DATA TL(20)/ -0.007910D0 /,
: (ITL(I,20),I=1,5)/ +1, -1, +2, +0, 1 /
DATA TL(21)/ -0.006783D0 /,
: (ITL(I,21),I=1,5)/ +1, +0, +2, +0, 1 /
DATA TL(22)/ +0.005162D0 /,
: (ITL(I,22),I=1,5)/ +0, +1, -1, +0, 0 /
DATA TL(23)/ +0.005000D0 /,
: (ITL(I,23),I=1,5)/ +1, +0, +1, +0, 1 /
DATA TL(24)/ +0.004049D0 /,
: (ITL(I,24),I=1,5)/ -1, +1, +2, +0, 1 /
DATA TL(25)/ +0.003996D0 /,
: (ITL(I,25),I=1,5)/ +0, +2, +2, +0, 0 /
DATA TL(26)/ +0.003862D0 /,
: (ITL(I,26),I=1,5)/ +0, +0, +4, +0, 0 /
DATA TL(27)/ +0.003665D0 /,
: (ITL(I,27),I=1,5)/ +0, -3, +2, +0, 0 /
DATA TL(28)/ +0.002695D0 /,
: (ITL(I,28),I=1,5)/ -1, +2, +0, +0, 1 /
DATA TL(29)/ +0.002602D0 /,
: (ITL(I,29),I=1,5)/ +0, +1, -2, -2, 0 /
DATA TL(30)/ +0.002396D0 /,
: (ITL(I,30),I=1,5)/ -1, -2, +2, +0, 1 /
DATA TL(31)/ -0.002349D0 /,
: (ITL(I,31),I=1,5)/ +0, +1, +1, +0, 0 /
DATA TL(32)/ +0.002249D0 /,
: (ITL(I,32),I=1,5)/ -2, +0, +2, +0, 2 /
DATA TL(33)/ -0.002125D0 /,
: (ITL(I,33),I=1,5)/ +1, +2, +0, +0, 1 /
DATA TL(34)/ -0.002079D0 /,
: (ITL(I,34),I=1,5)/ +2, +0, +0, +0, 2 /
DATA TL(35)/ +0.002059D0 /,
: (ITL(I,35),I=1,5)/ -2, -1, +2, +0, 2 /
DATA TL(36)/ -0.001773D0 /,
: (ITL(I,36),I=1,5)/ +0, +1, +2, -2, 0 /
DATA TL(37)/ -0.001595D0 /,
: (ITL(I,37),I=1,5)/ +0, +0, +2, +2, 0 /
DATA TL(38)/ +0.001220D0 /,
: (ITL(I,38),I=1,5)/ -1, -1, +4, +0, 1 /
DATA TL(39)/ -0.001110D0 /,
: (ITL(I,39),I=1,5)/ +0, +2, +0, +2, 0 /
DATA TL(40)/ +0.000892D0 /,
: (ITL(I,40),I=1,5)/ +0, +1, -3, +0, 0 /
DATA TL(41)/ -0.000811D0 /,
: (ITL(I,41),I=1,5)/ +1, +1, +2, +0, 1 /
DATA TL(42)/ +0.000761D0 /,
: (ITL(I,42),I=1,5)/ -1, -2, +4, +0, 1 /
DATA TL(43)/ +0.000717D0 /,
: (ITL(I,43),I=1,5)/ -2, +1, +0, +0, 2 /
DATA TL(44)/ +0.000704D0 /,
: (ITL(I,44),I=1,5)/ -2, +1, -2, +0, 2 /
DATA TL(45)/ +0.000693D0 /,
: (ITL(I,45),I=1,5)/ +1, -2, +2, +0, 1 /
DATA TL(46)/ +0.000598D0 /,
: (ITL(I,46),I=1,5)/ -1, +0, +2, -2, 1 /
DATA TL(47)/ +0.000550D0 /,
: (ITL(I,47),I=1,5)/ +0, +1, +4, +0, 0 /
DATA TL(48)/ +0.000538D0 /,
: (ITL(I,48),I=1,5)/ +0, +4, +0, +0, 0 /
DATA TL(49)/ +0.000521D0 /,
: (ITL(I,49),I=1,5)/ -1, +0, +4, +0, 1 /
DATA TL(50)/ +0.000486D0 /,
: (ITL(I,50),I=1,5)/ +0, +2, -1, +0, 0 /
*
* Latitude
* M M' D F n
DATA TB( 1)/ +5.128189D0 /,
: (ITB(I, 1),I=1,5)/ +0, +0, +0, +1, 0 /
DATA TB( 2)/ +0.280606D0 /,
: (ITB(I, 2),I=1,5)/ +0, +1, +0, +1, 0 /
DATA TB( 3)/ +0.277693D0 /,
: (ITB(I, 3),I=1,5)/ +0, +1, +0, -1, 0 /
DATA TB( 4)/ +0.173238D0 /,
: (ITB(I, 4),I=1,5)/ +0, +0, +2, -1, 0 /
DATA TB( 5)/ +0.055413D0 /,
: (ITB(I, 5),I=1,5)/ +0, -1, +2, +1, 0 /
DATA TB( 6)/ +0.046272D0 /,
: (ITB(I, 6),I=1,5)/ +0, -1, +2, -1, 0 /
DATA TB( 7)/ +0.032573D0 /,
: (ITB(I, 7),I=1,5)/ +0, +0, +2, +1, 0 /
DATA TB( 8)/ +0.017198D0 /,
: (ITB(I, 8),I=1,5)/ +0, +2, +0, +1, 0 /
DATA TB( 9)/ +0.009267D0 /,
: (ITB(I, 9),I=1,5)/ +0, +1, +2, -1, 0 /
DATA TB(10)/ +0.008823D0 /,
: (ITB(I,10),I=1,5)/ +0, +2, +0, -1, 0 /
DATA TB(11)/ +0.008247D0 /,
: (ITB(I,11),I=1,5)/ -1, +0, +2, -1, 1 /
DATA TB(12)/ +0.004323D0 /,
: (ITB(I,12),I=1,5)/ +0, -2, +2, -1, 0 /
DATA TB(13)/ +0.004200D0 /,
: (ITB(I,13),I=1,5)/ +0, +1, +2, +1, 0 /
DATA TB(14)/ +0.003372D0 /,
: (ITB(I,14),I=1,5)/ -1, +0, -2, +1, 1 /
DATA TB(15)/ +0.002472D0 /,
: (ITB(I,15),I=1,5)/ -1, -1, +2, +1, 1 /
DATA TB(16)/ +0.002222D0 /,
: (ITB(I,16),I=1,5)/ -1, +0, +2, +1, 1 /
DATA TB(17)/ +0.002072D0 /,
: (ITB(I,17),I=1,5)/ -1, -1, +2, -1, 1 /
DATA TB(18)/ +0.001877D0 /,
: (ITB(I,18),I=1,5)/ -1, +1, +0, +1, 1 /
DATA TB(19)/ +0.001828D0 /,
: (ITB(I,19),I=1,5)/ +0, -1, +4, -1, 0 /
DATA TB(20)/ -0.001803D0 /,
: (ITB(I,20),I=1,5)/ +1, +0, +0, +1, 1 /
DATA TB(21)/ -0.001750D0 /,
: (ITB(I,21),I=1,5)/ +0, +0, +0, +3, 0 /
DATA TB(22)/ +0.001570D0 /,
: (ITB(I,22),I=1,5)/ -1, +1, +0, -1, 1 /
DATA TB(23)/ -0.001487D0 /,
: (ITB(I,23),I=1,5)/ +0, +0, +1, +1, 0 /
DATA TB(24)/ -0.001481D0 /,
: (ITB(I,24),I=1,5)/ +1, +1, +0, +1, 1 /
DATA TB(25)/ +0.001417D0 /,
: (ITB(I,25),I=1,5)/ -1, -1, +0, +1, 1 /
DATA TB(26)/ +0.001350D0 /,
: (ITB(I,26),I=1,5)/ -1, +0, +0, +1, 1 /
DATA TB(27)/ +0.001330D0 /,
: (ITB(I,27),I=1,5)/ +0, +0, -1, +1, 0 /
DATA TB(28)/ +0.001106D0 /,
: (ITB(I,28),I=1,5)/ +0, +3, +0, +1, 0 /
DATA TB(29)/ +0.001020D0 /,
: (ITB(I,29),I=1,5)/ +0, +0, +4, -1, 0 /
DATA TB(30)/ +0.000833D0 /,
: (ITB(I,30),I=1,5)/ +0, -1, +4, +1, 0 /
DATA TB(31)/ +0.000781D0 /,
: (ITB(I,31),I=1,5)/ +0, +1, +0, -3, 0 /
DATA TB(32)/ +0.000670D0 /,
: (ITB(I,32),I=1,5)/ +0, -2, +4, +1, 0 /
DATA TB(33)/ +0.000606D0 /,
: (ITB(I,33),I=1,5)/ +0, +0, +2, -3, 0 /
DATA TB(34)/ +0.000597D0 /,
: (ITB(I,34),I=1,5)/ +0, +2, +2, -1, 0 /
DATA TB(35)/ +0.000492D0 /,
: (ITB(I,35),I=1,5)/ -1, +1, +2, -1, 1 /
DATA TB(36)/ +0.000450D0 /,
: (ITB(I,36),I=1,5)/ +0, +2, -2, -1, 0 /
DATA TB(37)/ +0.000439D0 /,
: (ITB(I,37),I=1,5)/ +0, +3, +0, -1, 0 /
DATA TB(38)/ +0.000423D0 /,
: (ITB(I,38),I=1,5)/ +0, +2, +2, +1, 0 /
DATA TB(39)/ +0.000422D0 /,
: (ITB(I,39),I=1,5)/ +0, -3, +2, -1, 0 /
DATA TB(40)/ -0.000367D0 /,
: (ITB(I,40),I=1,5)/ +1, -1, +2, +1, 1 /
DATA TB(41)/ -0.000353D0 /,
: (ITB(I,41),I=1,5)/ +1, +0, +2, +1, 1 /
DATA TB(42)/ +0.000331D0 /,
: (ITB(I,42),I=1,5)/ +0, +0, +4, +1, 0 /
DATA TB(43)/ +0.000317D0 /,
: (ITB(I,43),I=1,5)/ -1, +1, +2, +1, 1 /
DATA TB(44)/ +0.000306D0 /,
: (ITB(I,44),I=1,5)/ -2, +0, +2, -1, 2 /
DATA TB(45)/ -0.000283D0 /,
: (ITB(I,45),I=1,5)/ +0, +1, +0, +3, 0 /
*
* Parallax
* M M' D F n
DATA TP( 1)/ +0.950724D0 /,
: (ITP(I, 1),I=1,5)/ +0, +0, +0, +0, 0 /
DATA TP( 2)/ +0.051818D0 /,
: (ITP(I, 2),I=1,5)/ +0, +1, +0, +0, 0 /
DATA TP( 3)/ +0.009531D0 /,
: (ITP(I, 3),I=1,5)/ +0, -1, +2, +0, 0 /
DATA TP( 4)/ +0.007843D0 /,
: (ITP(I, 4),I=1,5)/ +0, +0, +2, +0, 0 /
DATA TP( 5)/ +0.002824D0 /,
: (ITP(I, 5),I=1,5)/ +0, +2, +0, +0, 0 /
DATA TP( 6)/ +0.000857D0 /,
: (ITP(I, 6),I=1,5)/ +0, +1, +2, +0, 0 /
DATA TP( 7)/ +0.000533D0 /,
: (ITP(I, 7),I=1,5)/ -1, +0, +2, +0, 1 /
DATA TP( 8)/ +0.000401D0 /,
: (ITP(I, 8),I=1,5)/ -1, -1, +2, +0, 1 /
DATA TP( 9)/ +0.000320D0 /,
: (ITP(I, 9),I=1,5)/ -1, +1, +0, +0, 1 /
DATA TP(10)/ -0.000271D0 /,
: (ITP(I,10),I=1,5)/ +0, +0, +1, +0, 0 /
DATA TP(11)/ -0.000264D0 /,
: (ITP(I,11),I=1,5)/ +1, +1, +0, +0, 1 /
DATA TP(12)/ -0.000198D0 /,
: (ITP(I,12),I=1,5)/ +0, -1, +0, +2, 0 /
DATA TP(13)/ +0.000173D0 /,
: (ITP(I,13),I=1,5)/ +0, +3, +0, +0, 0 /
DATA TP(14)/ +0.000167D0 /,
: (ITP(I,14),I=1,5)/ +0, -1, +4, +0, 0 /
DATA TP(15)/ -0.000111D0 /,
: (ITP(I,15),I=1,5)/ +1, +0, +0, +0, 1 /
DATA TP(16)/ +0.000103D0 /,
: (ITP(I,16),I=1,5)/ +0, -2, +4, +0, 0 /
DATA TP(17)/ -0.000084D0 /,
: (ITP(I,17),I=1,5)/ +0, +2, -2, +0, 0 /
DATA TP(18)/ -0.000083D0 /,
: (ITP(I,18),I=1,5)/ +1, +0, +2, +0, 1 /
DATA TP(19)/ +0.000079D0 /,
: (ITP(I,19),I=1,5)/ +0, +2, +2, +0, 0 /
DATA TP(20)/ +0.000072D0 /,
: (ITP(I,20),I=1,5)/ +0, +0, +4, +0, 0 /
DATA TP(21)/ +0.000064D0 /,
: (ITP(I,21),I=1,5)/ -1, +1, +2, +0, 1 /
DATA TP(22)/ -0.000063D0 /,
: (ITP(I,22),I=1,5)/ +1, -1, +2, +0, 1 /
DATA TP(23)/ +0.000041D0 /,
: (ITP(I,23),I=1,5)/ +1, +0, +1, +0, 1 /
DATA TP(24)/ +0.000035D0 /,
: (ITP(I,24),I=1,5)/ -1, +2, +0, +0, 1 /
DATA TP(25)/ -0.000033D0 /,
: (ITP(I,25),I=1,5)/ +0, +3, -2, +0, 0 /
DATA TP(26)/ -0.000030D0 /,
: (ITP(I,26),I=1,5)/ +0, +1, +1, +0, 0 /
DATA TP(27)/ -0.000029D0 /,
: (ITP(I,27),I=1,5)/ +0, +0, -2, +2, 0 /
DATA TP(28)/ -0.000029D0 /,
: (ITP(I,28),I=1,5)/ +1, +2, +0, +0, 1 /
DATA TP(29)/ +0.000026D0 /,
: (ITP(I,29),I=1,5)/ -2, +0, +2, +0, 2 /
DATA TP(30)/ -0.000023D0 /,
: (ITP(I,30),I=1,5)/ +0, +1, -2, +2, 0 /
DATA TP(31)/ +0.000019D0 /,
: (ITP(I,31),I=1,5)/ -1, -1, +4, +0, 1 /
* Centuries since J1900
T=(DATE-15019.5D0)/36525D0
*
* Fundamental arguments (radians) and derivatives (radians per
* Julian century) for the current epoch
*
* Moon's mean longitude
ELP=D2R*MOD(ELP0+(ELP1+(ELP2+ELP3*T)*T)*T,360D0)
DELP=D2R*(ELP1+(2D0*ELP2+3D0*ELP3*T)*T)
* Sun's mean anomaly
EM=D2R*MOD(EM0+(EM1+(EM2+EM3*T)*T)*T,360D0)
DEM=D2R*(EM1+(2D0*EM2+3D0*EM3*T)*T)
* Moon's mean anomaly
EMP=D2R*MOD(EMP0+(EMP1+(EMP2+EMP3*T)*T)*T,360D0)
DEMP=D2R*(EMP1+(2D0*EMP2+3D0*EMP3*T)*T)
* Moon's mean elongation
D=D2R*MOD(D0+(D1+(D2+D3*T)*T)*T,360D0)
DD=D2R*(D1+(2D0*D2+3D0*D3*T)*T)
* Mean distance of the Moon from its ascending node
F=D2R*MOD(F0+(F1+(F2+F3*T)*T)*T,360D0)
DF=D2R*(F1+(2D0*F2+3D0*F3*T)*T)
* Longitude of the Moon's ascending node
OM=D2R*MOD(OM0+(OM1+(OM2+OM3*T)*T)*T,360D0)
DOM=D2R*(OM1+(2D0*OM2+3D0*OM3*T)*T)
SINOM=SIN(OM)
COSOM=COS(OM)
DOMCOM=DOM*COSOM
* Add the periodic variations
THETA=D2R*(PA0+PA1*T)
WA=SIN(THETA)
DWA=D2R*PA1*COS(THETA)
THETA=D2R*(PE0+(PE1+PE2*T)*T)
WB=PEC*SIN(THETA)
DWB=D2R*PEC*(PE1+2D0*PE2*T)*COS(THETA)
ELP=ELP+D2R*(PAC*WA+WB+PFC*SINOM)
DELP=DELP+D2R*(PAC*DWA+DWB+PFC*DOMCOM)
EM=EM+D2R*PBC*WA
DEM=DEM+D2R*PBC*DWA
EMP=EMP+D2R*(PCC*WA+WB+PGC*SINOM)
DEMP=DEMP+D2R*(PCC*DWA+DWB+PGC*DOMCOM)
D=D+D2R*(PDC*WA+WB+PHC*SINOM)
DD=DD+D2R*(PDC*DWA+DWB+PHC*DOMCOM)
WOM=OM+D2R*(PJ0+PJ1*T)
DWOM=DOM+D2R*PJ1
SINWOM=SIN(WOM)
COSWOM=COS(WOM)
F=F+D2R*(WB+PIC*SINOM+PJC*SINWOM)
DF=DF+D2R*(DWB+PIC*DOMCOM+PJC*DWOM*COSWOM)
* E-factor, and square
E=1D0+(E1+E2*T)*T
DE=E1+2D0*E2*T
ESQ=E*E
DESQ=2D0*E*DE
*
* Series expansions
*
* Longitude
V=0D0
DV=0D0
DO N=NL,1,-1
COEFF=TL(N)
EMN=DBLE(ITL(1,N))
EMPN=DBLE(ITL(2,N))
DN=DBLE(ITL(3,N))
FN=DBLE(ITL(4,N))
I=ITL(5,N)
IF (I.EQ.0) THEN
EN=1D0
DEN=0D0
ELSE IF (I.EQ.1) THEN
EN=E
DEN=DE
ELSE
EN=ESQ
DEN=DESQ
END IF
THETA=EMN*EM+EMPN*EMP+DN*D+FN*F
DTHETA=EMN*DEM+EMPN*DEMP+DN*DD+FN*DF
FTHETA=SIN(THETA)
V=V+COEFF*FTHETA*EN
DV=DV+COEFF*(COS(THETA)*DTHETA*EN+FTHETA*DEN)
END DO
EL=ELP+D2R*V
DEL=(DELP+D2R*DV)/CJ
* Latitude
V=0D0
DV=0D0
DO N=NB,1,-1
COEFF=TB(N)
EMN=DBLE(ITB(1,N))
EMPN=DBLE(ITB(2,N))
DN=DBLE(ITB(3,N))
FN=DBLE(ITB(4,N))
I=ITB(5,N)
IF (I.EQ.0) THEN
EN=1D0
DEN=0D0
ELSE IF (I.EQ.1) THEN
EN=E
DEN=DE
ELSE
EN=ESQ
DEN=DESQ
END IF
THETA=EMN*EM+EMPN*EMP+DN*D+FN*F
DTHETA=EMN*DEM+EMPN*DEMP+DN*DD+FN*DF
FTHETA=SIN(THETA)
V=V+COEFF*FTHETA*EN
DV=DV+COEFF*(COS(THETA)*DTHETA*EN+FTHETA*DEN)
END DO
BF=1D0-CW1*COSOM-CW2*COSWOM
DBF=CW1*DOM*SINOM+CW2*DWOM*SINWOM
B=D2R*V*BF
DB=D2R*(DV*BF+V*DBF)/CJ
* Parallax
V=0D0
DV=0D0
DO N=NP,1,-1
COEFF=TP(N)
EMN=DBLE(ITP(1,N))
EMPN=DBLE(ITP(2,N))
DN=DBLE(ITP(3,N))
FN=DBLE(ITP(4,N))
I=ITP(5,N)
IF (I.EQ.0) THEN
EN=1D0
DEN=0D0
ELSE IF (I.EQ.1) THEN
EN=E
DEN=DE
ELSE
EN=ESQ
DEN=DESQ
END IF
THETA=EMN*EM+EMPN*EMP+DN*D+FN*F
DTHETA=EMN*DEM+EMPN*DEMP+DN*DD+FN*DF
FTHETA=COS(THETA)
V=V+COEFF*FTHETA*EN
DV=DV+COEFF*(-SIN(THETA)*DTHETA*EN+FTHETA*DEN)
END DO
P=D2R*V
DP=D2R*DV/CJ
*
* Transformation into final form
*
* Parallax to distance (AU, AU/sec)
SP=SIN(P)
R=ERADAU/SP
DR=-R*DP*COS(P)/SP
* Longitude, latitude to x,y,z (AU)
SEL=SIN(EL)
CEL=COS(EL)
SB=SIN(B)
CB=COS(B)
RCB=R*CB
RBD=R*DB
W=RBD*SB-CB*DR
X=RCB*CEL
Y=RCB*SEL
Z=R*SB
XD=-Y*DEL-W*CEL
YD=X*DEL-W*SEL
ZD=RBD*CB+SB*DR
* Julian centuries since J2000
T=(DATE-51544.5D0)/36525D0
* Fricke equinox correction
EPJ=2000D0+T*100D0
EQCOR=DS2R*(0.035D0+0.00085D0*(EPJ-B1950))
* Mean obliquity (IAU 1976)
EPS=DAS2R*(84381.448D0+(-46.8150D0+(-0.00059D0+0.001813D0*T)*T)*T)
* To the equatorial system, mean of date, FK5 system
SINEPS=SIN(EPS)
COSEPS=COS(EPS)
ES=EQCOR*SINEPS
EC=EQCOR*COSEPS
PV(1)=X-EC*Y+ES*Z
PV(2)=EQCOR*X+Y*COSEPS-Z*SINEPS
PV(3)=Y*SINEPS+Z*COSEPS
PV(4)=XD-EC*YD+ES*ZD
PV(5)=EQCOR*XD+YD*COSEPS-ZD*SINEPS
PV(6)=YD*SINEPS+ZD*COSEPS
END