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17 package org.orekit.utils;
18
19 import java.io.BufferedReader;
20 import java.io.IOException;
21 import java.io.InputStream;
22 import java.io.InputStreamReader;
23 import java.io.Serializable;
24 import java.nio.charset.StandardCharsets;
25 import java.util.List;
26 import java.util.regex.Pattern;
27
28 import org.hipparchus.RealFieldElement;
29 import org.hipparchus.analysis.interpolation.FieldHermiteInterpolator;
30 import org.hipparchus.analysis.interpolation.HermiteInterpolator;
31 import org.hipparchus.util.FastMath;
32 import org.hipparchus.util.FieldSinCos;
33 import org.hipparchus.util.MathArrays;
34 import org.hipparchus.util.MathUtils;
35 import org.hipparchus.util.SinCos;
36 import org.orekit.annotation.DefaultDataContext;
37 import org.orekit.data.BodiesElements;
38 import org.orekit.data.DataContext;
39 import org.orekit.data.DelaunayArguments;
40 import org.orekit.data.FieldBodiesElements;
41 import org.orekit.data.FieldDelaunayArguments;
42 import org.orekit.data.FundamentalNutationArguments;
43 import org.orekit.data.PoissonSeries;
44 import org.orekit.data.PoissonSeries.CompiledSeries;
45 import org.orekit.data.PoissonSeriesParser;
46 import org.orekit.data.PolynomialNutation;
47 import org.orekit.data.PolynomialParser;
48 import org.orekit.data.PolynomialParser.Unit;
49 import org.orekit.data.SimpleTimeStampedTableParser;
50 import org.orekit.errors.OrekitException;
51 import org.orekit.errors.OrekitInternalError;
52 import org.orekit.errors.OrekitMessages;
53 import org.orekit.errors.TimeStampedCacheException;
54 import org.orekit.frames.EOPHistory;
55 import org.orekit.frames.FieldPoleCorrection;
56 import org.orekit.frames.PoleCorrection;
57 import org.orekit.time.AbsoluteDate;
58 import org.orekit.time.DateComponents;
59 import org.orekit.time.FieldAbsoluteDate;
60 import org.orekit.time.TimeComponents;
61 import org.orekit.time.TimeScalarFunction;
62 import org.orekit.time.TimeScale;
63 import org.orekit.time.TimeScales;
64 import org.orekit.time.TimeStamped;
65 import org.orekit.time.TimeVectorFunction;
66
67
68
69
70
71
72 public enum IERSConventions {
73
74
75 IERS_1996 {
76
77
78 private static final String NUTATION_ARGUMENTS = IERS_BASE + "1996/nutation-arguments.txt";
79
80
81 private static final String X_Y_SERIES = IERS_BASE + "1996/tab5.4.txt";
82
83
84 private static final String PSI_EPSILON_SERIES = IERS_BASE + "1996/tab5.1.txt";
85
86
87 private static final String TIDAL_CORRECTION_XP_YP_SERIES = IERS_BASE + "1996/tab8.4.txt";
88
89
90 private static final String TIDAL_CORRECTION_UT1_SERIES = IERS_BASE + "1996/tab8.3.txt";
91
92
93 private static final String LOVE_NUMBERS = IERS_BASE + "1996/tab6.1.txt";
94
95
96 private static final String K20_FREQUENCY_DEPENDENCE = IERS_BASE + "1996/tab6.2b.txt";
97
98
99 private static final String K21_FREQUENCY_DEPENDENCE = IERS_BASE + "1996/tab6.2a.txt";
100
101
102 private static final String K22_FREQUENCY_DEPENDENCE = IERS_BASE + "1996/tab6.2c.txt";
103
104
105 private static final String TIDAL_DISPLACEMENT_CORRECTION_DIURNAL = IERS_BASE + "1996/tab7.3a.txt";
106
107
108 private static final String TIDAL_DISPLACEMENT_CORRECTION_ZONAL = IERS_BASE + "1996/tab7.3b.txt";
109
110
111 @Override
112 public FundamentalNutationArguments getNutationArguments(final TimeScale timeScale,
113 final TimeScales timeScales) {
114 try (InputStream in = getStream(NUTATION_ARGUMENTS)) {
115 return new FundamentalNutationArguments(this, timeScale,
116 in, NUTATION_ARGUMENTS, timeScales);
117 } catch (IOException e) {
118 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
119 }
120 }
121
122
123 @Override
124 public TimeScalarFunction getMeanObliquityFunction(final TimeScales timeScales) {
125
126
127 final PolynomialNutation epsilonA =
128 new PolynomialNutation(84381.448 * Constants.ARC_SECONDS_TO_RADIANS,
129 -46.8150 * Constants.ARC_SECONDS_TO_RADIANS,
130 -0.00059 * Constants.ARC_SECONDS_TO_RADIANS,
131 0.001813 * Constants.ARC_SECONDS_TO_RADIANS);
132
133 return new TimeScalarFunction() {
134
135
136 @Override
137 public double value(final AbsoluteDate date) {
138 return epsilonA.value(evaluateTC(date, timeScales));
139 }
140
141
142 @Override
143 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
144 return epsilonA.value(evaluateTC(date, timeScales));
145 }
146
147 };
148
149 }
150
151
152 @Override
153 public TimeVectorFunction getXYSpXY2Function(final TimeScales timeScales) {
154
155
156 final FundamentalNutationArguments arguments =
157 getNutationArguments(timeScales);
158
159
160
161
162 final PolynomialNutation xPolynomial =
163 new PolynomialNutation(0,
164 2004.3109 * Constants.ARC_SECONDS_TO_RADIANS,
165 -0.42665 * Constants.ARC_SECONDS_TO_RADIANS,
166 -0.198656 * Constants.ARC_SECONDS_TO_RADIANS,
167 0.0000140 * Constants.ARC_SECONDS_TO_RADIANS);
168
169 final double fXCosOm = 0.00006 * Constants.ARC_SECONDS_TO_RADIANS;
170 final double fXSinOm = 0.00204 * Constants.ARC_SECONDS_TO_RADIANS;
171 final double fXSin2FDOm = 0.00016 * Constants.ARC_SECONDS_TO_RADIANS;
172 final double sinEps0 = FastMath.sin(getMeanObliquityFunction(timeScales)
173 .value(getNutationReferenceEpoch(timeScales)));
174
175 final double deciMilliAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-4;
176 final PoissonSeriesParser baseParser =
177 new PoissonSeriesParser(12).withFirstDelaunay(1);
178
179 final PoissonSeriesParser xParser =
180 baseParser.
181 withSinCos(0, 7, deciMilliAS, -1, deciMilliAS).
182 withSinCos(1, 8, deciMilliAS, 9, deciMilliAS);
183 final PoissonSeries xSum;
184 try (InputStream in = getStream(X_Y_SERIES)) {
185 xSum = xParser.parse(in, X_Y_SERIES);
186 } catch (IOException e) {
187 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
188 }
189
190
191
192
193 final PolynomialNutation yPolynomial =
194 new PolynomialNutation(-0.00013 * Constants.ARC_SECONDS_TO_RADIANS,
195 0.0,
196 -22.40992 * Constants.ARC_SECONDS_TO_RADIANS,
197 0.001836 * Constants.ARC_SECONDS_TO_RADIANS,
198 0.0011130 * Constants.ARC_SECONDS_TO_RADIANS);
199
200 final double fYCosOm = -0.00231 * Constants.ARC_SECONDS_TO_RADIANS;
201 final double fYCos2FDOm = -0.00014 * Constants.ARC_SECONDS_TO_RADIANS;
202
203 final PoissonSeriesParser yParser =
204 baseParser.
205 withSinCos(0, -1, deciMilliAS, 10, deciMilliAS).
206 withSinCos(1, 12, deciMilliAS, 11, deciMilliAS);
207 final PoissonSeries ySum;
208 try (InputStream in = getStream(X_Y_SERIES)) {
209 ySum = yParser.parse(in, X_Y_SERIES);
210 } catch (IOException e) {
211 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
212 }
213
214 final PoissonSeries.CompiledSeries xySum =
215 PoissonSeries.compile(xSum, ySum);
216
217
218
219 final double fST = 0.00385 * Constants.ARC_SECONDS_TO_RADIANS;
220 final double fST3 = -0.07259 * Constants.ARC_SECONDS_TO_RADIANS;
221 final double fSSinOm = -0.00264 * Constants.ARC_SECONDS_TO_RADIANS;
222 final double fSSin2Om = -0.00006 * Constants.ARC_SECONDS_TO_RADIANS;
223 final double fST2SinOm = 0.00074 * Constants.ARC_SECONDS_TO_RADIANS;
224 final double fST2Sin2FDOm = 0.00006 * Constants.ARC_SECONDS_TO_RADIANS;
225
226 return new TimeVectorFunction() {
227
228
229 @Override
230 public double[] value(final AbsoluteDate date) {
231
232 final BodiesElements elements = arguments.evaluateAll(date);
233 final double[] xy = xySum.value(elements);
234
235 final double omega = elements.getOmega();
236 final double f = elements.getF();
237 final double d = elements.getD();
238 final double t = elements.getTC();
239
240 final SinCos scOmega = FastMath.sinCos(omega);
241 final SinCos sc2omega = SinCos.sum(scOmega, scOmega);
242 final SinCos sc2FD0m = FastMath.sinCos(2 * (f - d + omega));
243 final double cosOmega = scOmega.cos();
244 final double sinOmega = scOmega.sin();
245 final double sin2Omega = sc2omega.sin();
246 final double cos2FDOm = sc2FD0m.cos();
247 final double sin2FDOm = sc2FD0m.sin();
248
249 final double x = xPolynomial.value(t) + sinEps0 * xy[0] +
250 t * t * (fXCosOm * cosOmega + fXSinOm * sinOmega + fXSin2FDOm * cos2FDOm);
251 final double y = yPolynomial.value(t) + xy[1] +
252 t * t * (fYCosOm * cosOmega + fYCos2FDOm * cos2FDOm);
253 final double sPxy2 = fSSinOm * sinOmega + fSSin2Om * sin2Omega +
254 t * (fST + t * (fST2SinOm * sinOmega + fST2Sin2FDOm * sin2FDOm + t * fST3));
255
256 return new double[] {
257 x, y, sPxy2
258 };
259
260 }
261
262
263 @Override
264 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
265
266 final FieldBodiesElements<T> elements = arguments.evaluateAll(date);
267 final T[] xy = xySum.value(elements);
268
269 final T omega = elements.getOmega();
270 final T f = elements.getF();
271 final T d = elements.getD();
272 final T t = elements.getTC();
273 final T t2 = t.multiply(t);
274
275 final FieldSinCos<T> scOmega = FastMath.sinCos(omega);
276 final FieldSinCos<T> sc2omega = FieldSinCos.sum(scOmega, scOmega);
277 final FieldSinCos<T> sc2FD0m = FastMath.sinCos(f.subtract(d).add(omega).multiply(2));
278 final T cosOmega = scOmega.cos();
279 final T sinOmega = scOmega.sin();
280 final T sin2Omega = sc2omega.sin();
281 final T cos2FDOm = sc2FD0m.cos();
282 final T sin2FDOm = sc2FD0m.sin();
283
284 final T x = xPolynomial.value(t).
285 add(xy[0].multiply(sinEps0)).
286 add(t2.multiply(cosOmega.multiply(fXCosOm).add(sinOmega.multiply(fXSinOm)).add(cos2FDOm.multiply(fXSin2FDOm))));
287 final T y = yPolynomial.value(t).
288 add(xy[1]).
289 add(t2.multiply(cosOmega.multiply(fYCosOm).add(cos2FDOm.multiply(fYCos2FDOm))));
290 final T sPxy2 = sinOmega.multiply(fSSinOm).
291 add(sin2Omega.multiply(fSSin2Om)).
292 add(t.multiply(fST3).add(sinOmega.multiply(fST2SinOm)).add(sin2FDOm.multiply(fST2Sin2FDOm)).multiply(t).add(fST).multiply(t));
293
294 final T[] a = MathArrays.buildArray(date.getField(), 3);
295 a[0] = x;
296 a[1] = y;
297 a[2] = sPxy2;
298 return a;
299
300 }
301
302 };
303
304 }
305
306
307 @Override
308 public TimeVectorFunction getPrecessionFunction(final TimeScales timeScales) {
309
310
311
312
313
314
315 final PolynomialNutation psiA =
316 new PolynomialNutation( 0.0,
317 5038.7784 * Constants.ARC_SECONDS_TO_RADIANS,
318 -1.07259 * Constants.ARC_SECONDS_TO_RADIANS,
319 -0.001147 * Constants.ARC_SECONDS_TO_RADIANS);
320 final PolynomialNutation omegaA =
321 new PolynomialNutation(getMeanObliquityFunction(timeScales)
322 .value(getNutationReferenceEpoch(timeScales)),
323 0.0,
324 0.05127 * Constants.ARC_SECONDS_TO_RADIANS,
325 -0.007726 * Constants.ARC_SECONDS_TO_RADIANS);
326 final PolynomialNutation chiA =
327 new PolynomialNutation( 0.0,
328 10.5526 * Constants.ARC_SECONDS_TO_RADIANS,
329 -2.38064 * Constants.ARC_SECONDS_TO_RADIANS,
330 -0.001125 * Constants.ARC_SECONDS_TO_RADIANS);
331
332 return new PrecessionFunction(psiA, omegaA, chiA, timeScales);
333
334 }
335
336
337 @Override
338 public TimeVectorFunction getNutationFunction(final TimeScales timeScales) {
339
340
341 final FundamentalNutationArguments arguments =
342 getNutationArguments(timeScales);
343
344
345 final double deciMilliAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-4;
346 final PoissonSeriesParser baseParser =
347 new PoissonSeriesParser(10).withFirstDelaunay(1);
348
349 final PoissonSeriesParser psiParser =
350 baseParser.
351 withSinCos(0, 7, deciMilliAS, -1, deciMilliAS).
352 withSinCos(1, 8, deciMilliAS, -1, deciMilliAS);
353 final PoissonSeries psiSeries;
354 try (InputStream in = getStream(PSI_EPSILON_SERIES)) {
355 psiSeries = psiParser.parse(in, PSI_EPSILON_SERIES);
356 } catch (IOException e) {
357 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
358 }
359
360 final PoissonSeriesParser epsilonParser =
361 baseParser.
362 withSinCos(0, -1, deciMilliAS, 9, deciMilliAS).
363 withSinCos(1, -1, deciMilliAS, 10, deciMilliAS);
364 final PoissonSeries epsilonSeries;
365 try (InputStream in = getStream(PSI_EPSILON_SERIES)) {
366 epsilonSeries = epsilonParser.parse(in, PSI_EPSILON_SERIES);
367 } catch (IOException e) {
368 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
369 }
370
371 final PoissonSeries.CompiledSeries psiEpsilonSeries =
372 PoissonSeries.compile(psiSeries, epsilonSeries);
373
374 return new TimeVectorFunction() {
375
376
377 @Override
378 public double[] value(final AbsoluteDate date) {
379 final BodiesElements elements = arguments.evaluateAll(date);
380 final double[] psiEpsilon = psiEpsilonSeries.value(elements);
381 return new double[] {
382 psiEpsilon[0], psiEpsilon[1], IAU1994ResolutionC7.value(elements, timeScales.getTAI())
383 };
384 }
385
386
387 @Override
388 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
389 final FieldBodiesElements<T> elements = arguments.evaluateAll(date);
390 final T[] psiEpsilon = psiEpsilonSeries.value(elements);
391 final T[] result = MathArrays.buildArray(date.getField(), 3);
392 result[0] = psiEpsilon[0];
393 result[1] = psiEpsilon[1];
394 result[2] = IAU1994ResolutionC7.value(elements, timeScales.getTAI());
395 return result;
396 }
397
398 };
399
400 }
401
402
403 @Override
404 public TimeScalarFunction getGMSTFunction(final TimeScale ut1,
405 final TimeScales timeScales) {
406
407
408 final double radiansPerSecond = MathUtils.TWO_PI / Constants.JULIAN_DAY;
409
410
411
412 final AbsoluteDatete">AbsoluteDate gmstReference = new AbsoluteDate(
413 DateComponents.J2000_EPOCH, TimeComponents.H12, timeScales.getTAI());
414 final double gmst0 = 24110.54841;
415 final double gmst1 = 8640184.812866;
416 final double gmst2 = 0.093104;
417 final double gmst3 = -6.2e-6;
418
419 return new TimeScalarFunction() {
420
421
422 @Override
423 public double value(final AbsoluteDate date) {
424
425
426 final double dtai = date.durationFrom(gmstReference);
427 final double tut1 = dtai + ut1.offsetFromTAI(date);
428 final double tt = tut1 / Constants.JULIAN_CENTURY;
429
430
431
432 final double sd = FastMath.IEEEremainder(tut1 + Constants.JULIAN_DAY / 2, Constants.JULIAN_DAY);
433
434
435 return ((((((tt * gmst3 + gmst2) * tt) + gmst1) * tt) + gmst0) + sd) * radiansPerSecond;
436
437 }
438
439
440 @Override
441 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
442
443
444 final T dtai = date.durationFrom(gmstReference);
445 final T tut1 = dtai.add(ut1.offsetFromTAI(date.toAbsoluteDate()));
446 final T tt = tut1.divide(Constants.JULIAN_CENTURY);
447
448
449
450 final T sd = tut1.add(Constants.JULIAN_DAY / 2).remainder(Constants.JULIAN_DAY);
451
452
453 return tt.multiply(gmst3).add(gmst2).multiply(tt).add(gmst1).multiply(tt).add(gmst0).add(sd).multiply(radiansPerSecond);
454
455 }
456
457 };
458
459 }
460
461
462 @Override
463 public TimeScalarFunction getGMSTRateFunction(final TimeScale ut1,
464 final TimeScales timeScales) {
465
466
467 final double radiansPerSecond = MathUtils.TWO_PI / Constants.JULIAN_DAY;
468
469
470
471 final AbsoluteDatete">AbsoluteDate gmstReference = new AbsoluteDate(
472 DateComponents.J2000_EPOCH, TimeComponents.H12, timeScales.getTAI());
473 final double gmst1 = 8640184.812866;
474 final double gmst2 = 0.093104;
475 final double gmst3 = -6.2e-6;
476
477 return new TimeScalarFunction() {
478
479
480 @Override
481 public double value(final AbsoluteDate date) {
482
483
484 final double dtai = date.durationFrom(gmstReference);
485 final double tut1 = dtai + ut1.offsetFromTAI(date);
486 final double tt = tut1 / Constants.JULIAN_CENTURY;
487
488
489 return ((((tt * 3 * gmst3 + 2 * gmst2) * tt) + gmst1) / Constants.JULIAN_CENTURY + 1) * radiansPerSecond;
490
491 }
492
493
494 @Override
495 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
496
497
498 final T dtai = date.durationFrom(gmstReference);
499 final T tut1 = dtai.add(ut1.offsetFromTAI(date.toAbsoluteDate()));
500 final T tt = tut1.divide(Constants.JULIAN_CENTURY);
501
502
503 return tt.multiply(3 * gmst3).add(2 * gmst2).multiply(tt).add(gmst1).divide(Constants.JULIAN_CENTURY).add(1).multiply(radiansPerSecond);
504
505 }
506
507 };
508
509 }
510
511
512 @Override
513 public TimeScalarFunction getGASTFunction(final TimeScale ut1,
514 final EOPHistory eopHistory,
515 final TimeScales timeScales) {
516
517
518 final TimeScalarFunction epsilonA = getMeanObliquityFunction(timeScales);
519
520
521 final TimeScalarFunction gmst = getGMSTFunction(ut1, timeScales);
522
523
524 final TimeVectorFunction nutation = getNutationFunction(timeScales);
525
526 return new TimeScalarFunction() {
527
528
529 @Override
530 public double value(final AbsoluteDate date) {
531
532
533 final double[] angles = nutation.value(date);
534 double deltaPsi = angles[0];
535 if (eopHistory != null) {
536 deltaPsi += eopHistory.getEquinoxNutationCorrection(date)[0];
537 }
538 final double eqe = deltaPsi * FastMath.cos(epsilonA.value(date)) + angles[2];
539
540
541 return gmst.value(date) + eqe;
542
543 }
544
545
546 @Override
547 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
548
549
550 final T[] angles = nutation.value(date);
551 T deltaPsi = angles[0];
552 if (eopHistory != null) {
553 deltaPsi = deltaPsi.add(eopHistory.getEquinoxNutationCorrection(date)[0]);
554 }
555 final T eqe = deltaPsi.multiply(epsilonA.value(date).cos()).add(angles[2]);
556
557
558 return gmst.value(date).add(eqe);
559
560 }
561
562 };
563
564 }
565
566
567 @Override
568 public TimeVectorFunction getEOPTidalCorrection(final TimeScales timeScales) {
569
570
571
572
573
574
575 final FundamentalNutationArguments arguments =
576 getNutationArguments(timeScales.getTT(), timeScales);
577
578
579 final double milliAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-3;
580 final PoissonSeriesParseronSeriesParser">PoissonSeriesParser xyParser = new PoissonSeriesParser(17).
581 withOptionalColumn(1).
582 withGamma(7).
583 withFirstDelaunay(2);
584 final PoissonSeries xSeries;
585 try (InputStream in = getStream(TIDAL_CORRECTION_XP_YP_SERIES)) {
586 xSeries = xyParser.
587 withSinCos(0, 14, milliAS, 15, milliAS).
588 parse(in, TIDAL_CORRECTION_XP_YP_SERIES);
589 } catch (IOException e) {
590 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
591 }
592 final PoissonSeries ySeries;
593 try (InputStream in = getStream(TIDAL_CORRECTION_XP_YP_SERIES)) {
594 ySeries = xyParser.
595 withSinCos(0, 16, milliAS, 17, milliAS).
596 parse(in, TIDAL_CORRECTION_XP_YP_SERIES);
597 } catch (IOException e) {
598 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
599 }
600
601 final double deciMilliS = 1.0e-4;
602 final PoissonSeriesParsernSeriesParser">PoissonSeriesParser ut1Parser = new PoissonSeriesParser(17).
603 withOptionalColumn(1).
604 withGamma(7).
605 withFirstDelaunay(2).
606 withSinCos(0, 16, deciMilliS, 17, deciMilliS);
607 final PoissonSeries ut1Series;
608 try (InputStream in = getStream(TIDAL_CORRECTION_UT1_SERIES)) {
609 ut1Series = ut1Parser.parse(in, TIDAL_CORRECTION_UT1_SERIES);
610 } catch (IOException e) {
611 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
612 }
613
614 return new EOPTidalCorrection(arguments, xSeries, ySeries, ut1Series);
615
616 }
617
618
619 public LoveNumbers getLoveNumbers() {
620 return loadLoveNumbers(LOVE_NUMBERS);
621 }
622
623
624 public TimeVectorFunction getTideFrequencyDependenceFunction(final TimeScale ut1,
625 final TimeScales timeScales) {
626
627
628 final FundamentalNutationArguments arguments = getNutationArguments(ut1, timeScales);
629
630
631 final PoissonSeriesParser k20Parser =
632 new PoissonSeriesParser(18).
633 withOptionalColumn(1).
634 withDoodson(4, 2).
635 withFirstDelaunay(10);
636 final PoissonSeriesParser k21Parser =
637 new PoissonSeriesParser(18).
638 withOptionalColumn(1).
639 withDoodson(4, 3).
640 withFirstDelaunay(10);
641 final PoissonSeriesParser k22Parser =
642 new PoissonSeriesParser(16).
643 withOptionalColumn(1).
644 withDoodson(4, 2).
645 withFirstDelaunay(10);
646
647 final double pico = 1.0e-12;
648 try (InputStream k20 = getStream(K20_FREQUENCY_DEPENDENCE);
649 InputStream k21In1 = getStream(K21_FREQUENCY_DEPENDENCE);
650 InputStream k21In2 = getStream(K21_FREQUENCY_DEPENDENCE);
651 InputStream k22In1 = getStream(K22_FREQUENCY_DEPENDENCE);
652 InputStream k22In2 = getStream(K22_FREQUENCY_DEPENDENCE)) {
653 final PoissonSeries c20Series =
654 k20Parser.
655 withSinCos(0, 18, -pico, 16, pico).
656 parse(k20, K20_FREQUENCY_DEPENDENCE);
657 final PoissonSeries c21Series =
658 k21Parser.
659 withSinCos(0, 17, pico, 18, pico).
660 parse(k21In1, K21_FREQUENCY_DEPENDENCE);
661 final PoissonSeries s21Series =
662 k21Parser.
663 withSinCos(0, 18, -pico, 17, pico).
664 parse(k21In2, K21_FREQUENCY_DEPENDENCE);
665 final PoissonSeries c22Series =
666 k22Parser.
667 withSinCos(0, -1, pico, 16, pico).
668 parse(k22In1, K22_FREQUENCY_DEPENDENCE);
669 final PoissonSeries s22Series =
670 k22Parser.
671 withSinCos(0, 16, -pico, -1, pico).
672 parse(k22In2, K22_FREQUENCY_DEPENDENCE);
673
674 return new TideFrequencyDependenceFunction(arguments,
675 c20Series,
676 c21Series, s21Series,
677 c22Series, s22Series);
678 } catch (IOException e) {
679 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
680 }
681
682 }
683
684
685 @Override
686 public double getPermanentTide() {
687 return 4.4228e-8 * -0.31460 * getLoveNumbers().getReal(2, 0);
688 }
689
690
691 @Override
692 public TimeVectorFunction getSolidPoleTide(final EOPHistory eopHistory) {
693
694
695 final double globalFactor = -1.348e-9 / Constants.ARC_SECONDS_TO_RADIANS;
696 final double coupling = 0.00112;
697
698 return new TimeVectorFunction() {
699
700
701 @Override
702 public double[] value(final AbsoluteDate date) {
703 final PoleCorrection pole = eopHistory.getPoleCorrection(date);
704 return new double[] {
705 globalFactor * (pole.getXp() + coupling * pole.getYp()),
706 globalFactor * (coupling * pole.getXp() - pole.getYp()),
707 };
708 }
709
710
711 @Override
712 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
713 final FieldPoleCorrection<T> pole = eopHistory.getPoleCorrection(date);
714 final T[] a = MathArrays.buildArray(date.getField(), 2);
715 a[0] = pole.getXp().add(pole.getYp().multiply(coupling)).multiply(globalFactor);
716 a[1] = pole.getXp().multiply(coupling).subtract(pole.getYp()).multiply(globalFactor);
717 return a;
718 }
719
720 };
721 }
722
723
724 @Override
725 public TimeVectorFunction getOceanPoleTide(final EOPHistory eopHistory) {
726
727 return new TimeVectorFunction() {
728
729
730 @Override
731 public double[] value(final AbsoluteDate date) {
732
733 return new double[] {
734 0.0, 0.0
735 };
736 }
737
738
739 @Override
740 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
741
742 return MathArrays.buildArray(date.getField(), 2);
743 }
744
745 };
746 }
747
748
749 @Override
750 public double[] getNominalTidalDisplacement() {
751
752
753
754
755
756
757
758
759
760
761
762
763 return new double[] {
764
765 0.6078, -0.0006, 0.292, -0.0025, -0.0022,
766
767 0.0847, 0.0012, 0.0024, 0.0002, 0.015, -0.0007, -0.0007,
768
769 -0.31460
770 };
771
772 }
773
774
775 @Override
776 public CompiledSeries getTidalDisplacementFrequencyCorrectionDiurnal() {
777 return getTidalDisplacementFrequencyCorrectionDiurnal(TIDAL_DISPLACEMENT_CORRECTION_DIURNAL,
778 18, 17, -1, 18, -1);
779 }
780
781
782 @Override
783 public CompiledSeries getTidalDisplacementFrequencyCorrectionZonal() {
784 return getTidalDisplacementFrequencyCorrectionZonal(TIDAL_DISPLACEMENT_CORRECTION_ZONAL,
785 20, 17, 19, 18, 20);
786 }
787
788 },
789
790
791 IERS_2003 {
792
793
794 private static final String NUTATION_ARGUMENTS = IERS_BASE + "2003/nutation-arguments.txt";
795
796
797 private static final String X_SERIES = IERS_BASE + "2003/tab5.2a.txt";
798
799
800 private static final String Y_SERIES = IERS_BASE + "2003/tab5.2b.txt";
801
802
803 private static final String S_SERIES = IERS_BASE + "2003/tab5.2c.txt";
804
805
806 private static final String LUNI_SOLAR_SERIES = IERS_BASE + "2003/tab5.3a-first-table.txt";
807
808
809 private static final String PLANETARY_SERIES = IERS_BASE + "2003/tab5.3b.txt";
810
811
812 private static final String GST_SERIES = IERS_BASE + "2003/tab5.4.txt";
813
814
815 private static final String TIDAL_CORRECTION_XP_YP_SERIES = IERS_BASE + "2003/tab8.2ab.txt";
816
817
818 private static final String TIDAL_CORRECTION_UT1_SERIES = IERS_BASE + "2003/tab8.3ab.txt";
819
820
821 private static final String LOVE_NUMBERS = IERS_BASE + "2003/tab6.1.txt";
822
823
824 private static final String K20_FREQUENCY_DEPENDENCE = IERS_BASE + "2003/tab6.3b.txt";
825
826
827 private static final String K21_FREQUENCY_DEPENDENCE = IERS_BASE + "2003/tab6.3a.txt";
828
829
830 private static final String K22_FREQUENCY_DEPENDENCE = IERS_BASE + "2003/tab6.3c.txt";
831
832
833 private static final String ANNUAL_POLE = IERS_BASE + "2003/annual.pole";
834
835
836 private static final String TIDAL_DISPLACEMENT_CORRECTION_DIURNAL = IERS_BASE + "2003/tab7.5a.txt";
837
838
839 private static final String TIDAL_DISPLACEMENT_CORRECTION_ZONAL = IERS_BASE + "2003/tab7.5b.txt";
840
841
842 public FundamentalNutationArguments getNutationArguments(final TimeScale timeScale,
843 final TimeScales timeScales) {
844 try (InputStream in = getStream(NUTATION_ARGUMENTS)) {
845 return new FundamentalNutationArguments(this, timeScale,
846 in, NUTATION_ARGUMENTS, timeScales);
847 } catch (IOException e) {
848 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
849 }
850 }
851
852
853 @Override
854 public TimeScalarFunction getMeanObliquityFunction(final TimeScales timeScales) {
855
856
857 final PolynomialNutation epsilonA =
858 new PolynomialNutation(84381.448 * Constants.ARC_SECONDS_TO_RADIANS,
859 -46.84024 * Constants.ARC_SECONDS_TO_RADIANS,
860 -0.00059 * Constants.ARC_SECONDS_TO_RADIANS,
861 0.001813 * Constants.ARC_SECONDS_TO_RADIANS);
862
863 return new TimeScalarFunction() {
864
865
866 @Override
867 public double value(final AbsoluteDate date) {
868 return epsilonA.value(evaluateTC(date, timeScales));
869 }
870
871
872 @Override
873 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
874 return epsilonA.value(evaluateTC(date, timeScales));
875 }
876
877 };
878
879 }
880
881
882 @Override
883 public TimeVectorFunction getXYSpXY2Function(final TimeScales timeScales) {
884
885
886 final FundamentalNutationArguments arguments =
887 getNutationArguments(timeScales);
888
889
890 final double microAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-6;
891 final PoissonSeriesParser parser =
892 new PoissonSeriesParser(17).
893 withPolynomialPart('t', PolynomialParser.Unit.MICRO_ARC_SECONDS).
894 withFirstDelaunay(4).
895 withFirstPlanetary(9).
896 withSinCos(0, 2, microAS, 3, microAS);
897
898 final PoissonSeries.CompiledSeries xys;
899 try (InputStream xIn = getStream(X_SERIES);
900 InputStream yIn = getStream(Y_SERIES);
901 InputStream sIn = getStream(S_SERIES)) {
902 final PoissonSeries xSeries = parser.parse(xIn, X_SERIES);
903 final PoissonSeries ySeries = parser.parse(yIn, Y_SERIES);
904 final PoissonSeries sSeries = parser.parse(sIn, S_SERIES);
905 xys = PoissonSeries.compile(xSeries, ySeries, sSeries);
906 } catch (IOException e) {
907 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
908 }
909
910
911 return new TimeVectorFunction() {
912
913
914 @Override
915 public double[] value(final AbsoluteDate date) {
916 return xys.value(arguments.evaluateAll(date));
917 }
918
919
920 @Override
921 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
922 return xys.value(arguments.evaluateAll(date));
923 }
924
925 };
926
927 }
928
929
930
931 @Override
932 public TimeVectorFunction getPrecessionFunction(final TimeScales timeScales) {
933
934
935
936 final PolynomialNutation psiA =
937 new PolynomialNutation( 0.0,
938 5038.47875 * Constants.ARC_SECONDS_TO_RADIANS,
939 -1.07259 * Constants.ARC_SECONDS_TO_RADIANS,
940 -0.001147 * Constants.ARC_SECONDS_TO_RADIANS);
941 final PolynomialNutation omegaA =
942 new PolynomialNutation(getMeanObliquityFunction(timeScales)
943 .value(getNutationReferenceEpoch(timeScales)),
944 -0.02524 * Constants.ARC_SECONDS_TO_RADIANS,
945 0.05127 * Constants.ARC_SECONDS_TO_RADIANS,
946 -0.007726 * Constants.ARC_SECONDS_TO_RADIANS);
947 final PolynomialNutation chiA =
948 new PolynomialNutation( 0.0,
949 10.5526 * Constants.ARC_SECONDS_TO_RADIANS,
950 -2.38064 * Constants.ARC_SECONDS_TO_RADIANS,
951 -0.001125 * Constants.ARC_SECONDS_TO_RADIANS);
952
953 return new PrecessionFunction(psiA, omegaA, chiA, timeScales);
954
955 }
956
957
958 @Override
959 public TimeVectorFunction getNutationFunction(final TimeScales timeScales) {
960
961
962 final FundamentalNutationArguments arguments =
963 getNutationArguments(timeScales);
964
965
966 final double milliAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-3;
967 final PoissonSeriesParser luniSolarParser =
968 new PoissonSeriesParser(14).withFirstDelaunay(1);
969 final PoissonSeriesParser luniSolarPsiParser =
970 luniSolarParser.
971 withSinCos(0, 7, milliAS, 11, milliAS).
972 withSinCos(1, 8, milliAS, 12, milliAS);
973 final PoissonSeries psiLuniSolarSeries;
974 try (InputStream in = getStream(LUNI_SOLAR_SERIES)) {
975 psiLuniSolarSeries = luniSolarPsiParser.parse(in, LUNI_SOLAR_SERIES);
976 } catch (IOException e) {
977 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
978 }
979 final PoissonSeriesParser luniSolarEpsilonParser =
980 luniSolarParser.
981 withSinCos(0, 13, milliAS, 9, milliAS).
982 withSinCos(1, 14, milliAS, 10, milliAS);
983 final PoissonSeries epsilonLuniSolarSeries;
984 try (InputStream in = getStream(LUNI_SOLAR_SERIES)) {
985 epsilonLuniSolarSeries = luniSolarEpsilonParser.parse(in, LUNI_SOLAR_SERIES);
986 } catch (IOException e) {
987 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
988 }
989
990 final PoissonSeriesParser planetaryParser =
991 new PoissonSeriesParser(21).
992 withFirstDelaunay(2).
993 withFirstPlanetary(7);
994 final PoissonSeriesParser planetaryPsiParser =
995 planetaryParser.withSinCos(0, 17, milliAS, 18, milliAS);
996 final PoissonSeries psiPlanetarySeries;
997 try (InputStream in = getStream(PLANETARY_SERIES)) {
998 psiPlanetarySeries = planetaryPsiParser.parse(in, PLANETARY_SERIES);
999 } catch (IOException e) {
1000 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1001 }
1002 final PoissonSeriesParser planetaryEpsilonParser =
1003 planetaryParser.withSinCos(0, 19, milliAS, 20, milliAS);
1004 final PoissonSeries epsilonPlanetarySeries;
1005 try (InputStream in = getStream(PLANETARY_SERIES)) {
1006 epsilonPlanetarySeries = planetaryEpsilonParser.parse(in, PLANETARY_SERIES);
1007 } catch (IOException e) {
1008 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1009 }
1010
1011 final PoissonSeries.CompiledSeries luniSolarSeries =
1012 PoissonSeries.compile(psiLuniSolarSeries, epsilonLuniSolarSeries);
1013 final PoissonSeries.CompiledSeries planetarySeries =
1014 PoissonSeries.compile(psiPlanetarySeries, epsilonPlanetarySeries);
1015
1016 return new TimeVectorFunction() {
1017
1018
1019 @Override
1020 public double[] value(final AbsoluteDate date) {
1021 final BodiesElements elements = arguments.evaluateAll(date);
1022 final double[] luniSolar = luniSolarSeries.value(elements);
1023 final double[] planetary = planetarySeries.value(elements);
1024 return new double[] {
1025 luniSolar[0] + planetary[0], luniSolar[1] + planetary[1],
1026 IAU1994ResolutionC7.value(elements, timeScales.getTAI())
1027 };
1028 }
1029
1030
1031 @Override
1032 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
1033 final FieldBodiesElements<T> elements = arguments.evaluateAll(date);
1034 final T[] luniSolar = luniSolarSeries.value(elements);
1035 final T[] planetary = planetarySeries.value(elements);
1036 final T[] result = MathArrays.buildArray(date.getField(), 3);
1037 result[0] = luniSolar[0].add(planetary[0]);
1038 result[1] = luniSolar[1].add(planetary[1]);
1039 result[2] = IAU1994ResolutionC7.value(elements, timeScales.getTAI());
1040 return result;
1041 }
1042
1043 };
1044
1045 }
1046
1047
1048 @Override
1049 public TimeScalarFunction getGMSTFunction(final TimeScale ut1,
1050 final TimeScales timeScales) {
1051
1052
1053 final StellarAngleCapitaine era =
1054 new StellarAngleCapitaine(ut1, timeScales.getTAI());
1055
1056
1057
1058 final double microAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-6;
1059 final PoissonSeriesParser parser =
1060 new PoissonSeriesParser(17).
1061 withFirstDelaunay(4).
1062 withFirstPlanetary(9).
1063 withSinCos(0, 2, microAS, 3, microAS).
1064 withPolynomialPart('t', Unit.ARC_SECONDS);
1065 final PolynomialNutation minusEO;
1066 try (InputStream in = getStream(GST_SERIES)) {
1067 minusEO = parser.parse(in, GST_SERIES).getPolynomial();
1068 } catch (IOException e) {
1069 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1070 }
1071
1072
1073 return new TimeScalarFunction() {
1074
1075
1076 @Override
1077 public double value(final AbsoluteDate date) {
1078 return era.value(date) + minusEO.value(evaluateTC(date, timeScales));
1079 }
1080
1081
1082 @Override
1083 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
1084 return era.value(date).add(minusEO.value(evaluateTC(date, timeScales)));
1085 }
1086
1087 };
1088
1089 }
1090
1091
1092 @Override
1093 public TimeScalarFunction getGMSTRateFunction(final TimeScale ut1,
1094 final TimeScales timeScales) {
1095
1096
1097 final StellarAngleCapitaine era =
1098 new StellarAngleCapitaine(ut1, timeScales.getTAI());
1099
1100
1101
1102 final double microAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-6;
1103 final PoissonSeriesParser parser =
1104 new PoissonSeriesParser(17).
1105 withFirstDelaunay(4).
1106 withFirstPlanetary(9).
1107 withSinCos(0, 2, microAS, 3, microAS).
1108 withPolynomialPart('t', Unit.ARC_SECONDS);
1109 final PolynomialNutation minusEO;
1110 try (InputStream in = getStream(GST_SERIES)) {
1111 minusEO = parser.parse(in, GST_SERIES).getPolynomial();
1112 } catch (IOException e) {
1113 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1114 }
1115
1116
1117 return new TimeScalarFunction() {
1118
1119
1120 @Override
1121 public double value(final AbsoluteDate date) {
1122 return era.getRate() + minusEO.derivative(evaluateTC(date, timeScales));
1123 }
1124
1125
1126 @Override
1127 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
1128 return minusEO.derivative(evaluateTC(date, timeScales)).add(era.getRate());
1129 }
1130
1131 };
1132
1133 }
1134
1135
1136 @Override
1137 public TimeScalarFunction getGASTFunction(final TimeScale ut1,
1138 final EOPHistory eopHistory,
1139 final TimeScales timeScales) {
1140
1141
1142 final FundamentalNutationArguments arguments =
1143 getNutationArguments(timeScales);
1144
1145
1146 final TimeScalarFunction epsilon = getMeanObliquityFunction(timeScales);
1147
1148
1149 final double milliAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-3;
1150 final PoissonSeriesParser luniSolarPsiParser =
1151 new PoissonSeriesParser(14).
1152 withFirstDelaunay(1).
1153 withSinCos(0, 7, milliAS, 11, milliAS).
1154 withSinCos(1, 8, milliAS, 12, milliAS);
1155 final PoissonSeries psiLuniSolarSeries;
1156 try (InputStream in = getStream(LUNI_SOLAR_SERIES)) {
1157 psiLuniSolarSeries = luniSolarPsiParser.parse(in, LUNI_SOLAR_SERIES);
1158 } catch (IOException e) {
1159 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1160 }
1161
1162 final PoissonSeriesParser planetaryPsiParser =
1163 new PoissonSeriesParser(21).
1164 withFirstDelaunay(2).
1165 withFirstPlanetary(7).
1166 withSinCos(0, 17, milliAS, 18, milliAS);
1167 final PoissonSeries psiPlanetarySeries;
1168 try (InputStream in = getStream(PLANETARY_SERIES)) {
1169 psiPlanetarySeries = planetaryPsiParser.parse(in, PLANETARY_SERIES);
1170 } catch (IOException e) {
1171 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1172 }
1173
1174
1175 final double microAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-6;
1176 final PoissonSeriesParser gstParser =
1177 new PoissonSeriesParser(17).
1178 withFirstDelaunay(4).
1179 withFirstPlanetary(9).
1180 withSinCos(0, 2, microAS, 3, microAS).
1181 withPolynomialPart('t', Unit.ARC_SECONDS);
1182 final PoissonSeries gstSeries;
1183 try (InputStream in = getStream(GST_SERIES)) {
1184 gstSeries = gstParser.parse(in, GST_SERIES);
1185 } catch (IOException e) {
1186 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1187 }
1188 final PoissonSeries.CompiledSeries psiGstSeries =
1189 PoissonSeries.compile(psiLuniSolarSeries, psiPlanetarySeries, gstSeries);
1190
1191
1192 final TimeScalarFunction era =
1193 getEarthOrientationAngleFunction(ut1, timeScales.getTAI());
1194
1195 return new TimeScalarFunction() {
1196
1197
1198 @Override
1199 public double value(final AbsoluteDate date) {
1200
1201
1202 final BodiesElements elements = arguments.evaluateAll(date);
1203 final double[] angles = psiGstSeries.value(elements);
1204 final double ddPsi = (eopHistory == null) ? 0 : eopHistory.getEquinoxNutationCorrection(date)[0];
1205 final double deltaPsi = angles[0] + angles[1] + ddPsi;
1206 final double epsilonA = epsilon.value(date);
1207
1208
1209
1210 return era.value(date) + deltaPsi * FastMath.cos(epsilonA) + angles[2];
1211
1212 }
1213
1214
1215 @Override
1216 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
1217
1218
1219 final FieldBodiesElements<T> elements = arguments.evaluateAll(date);
1220 final T[] angles = psiGstSeries.value(elements);
1221 final T ddPsi = (eopHistory == null) ? date.getField().getZero() : eopHistory.getEquinoxNutationCorrection(date)[0];
1222 final T deltaPsi = angles[0].add(angles[1]).add(ddPsi);
1223 final T epsilonA = epsilon.value(date);
1224
1225
1226
1227 return era.value(date).add(deltaPsi.multiply(epsilonA.cos())).add(angles[2]);
1228
1229 }
1230
1231 };
1232
1233 }
1234
1235
1236 @Override
1237 public TimeVectorFunction getEOPTidalCorrection(final TimeScales timeScales) {
1238
1239
1240
1241
1242
1243
1244 final FundamentalNutationArguments arguments =
1245 getNutationArguments(timeScales.getTT(), timeScales);
1246
1247
1248 final double microAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-6;
1249 final PoissonSeriesParseronSeriesParser">PoissonSeriesParser xyParser = new PoissonSeriesParser(13).
1250 withOptionalColumn(1).
1251 withGamma(2).
1252 withFirstDelaunay(3);
1253 try (InputStream tidalIn1 = getStream(TIDAL_CORRECTION_XP_YP_SERIES);
1254 InputStream tidalIn2 = getStream(TIDAL_CORRECTION_XP_YP_SERIES);
1255 InputStream tidalUt1 = getStream(TIDAL_CORRECTION_UT1_SERIES)) {
1256 final PoissonSeries xSeries =
1257 xyParser.
1258 withSinCos(0, 10, microAS, 11, microAS).
1259 parse(tidalIn1, TIDAL_CORRECTION_XP_YP_SERIES);
1260 final PoissonSeries ySeries =
1261 xyParser.
1262 withSinCos(0, 12, microAS, 13, microAS).
1263 parse(tidalIn2, TIDAL_CORRECTION_XP_YP_SERIES);
1264
1265 final double microS = 1.0e-6;
1266 final PoissonSeriesParsernSeriesParser">PoissonSeriesParser ut1Parser = new PoissonSeriesParser(11).
1267 withOptionalColumn(1).
1268 withGamma(2).
1269 withFirstDelaunay(3).
1270 withSinCos(0, 10, microS, 11, microS);
1271 final PoissonSeries ut1Series =
1272 ut1Parser.parse(tidalUt1, TIDAL_CORRECTION_UT1_SERIES);
1273
1274 return new EOPTidalCorrection(arguments, xSeries, ySeries, ut1Series);
1275 } catch (IOException e) {
1276 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1277 }
1278
1279 }
1280
1281
1282 public LoveNumbers getLoveNumbers() {
1283 return loadLoveNumbers(LOVE_NUMBERS);
1284 }
1285
1286
1287 public TimeVectorFunction getTideFrequencyDependenceFunction(final TimeScale ut1,
1288 final TimeScales timeScales) {
1289
1290
1291 final FundamentalNutationArguments arguments = getNutationArguments(ut1, timeScales);
1292
1293
1294 final PoissonSeriesParser k20Parser =
1295 new PoissonSeriesParser(18).
1296 withOptionalColumn(1).
1297 withDoodson(4, 2).
1298 withFirstDelaunay(10);
1299 final PoissonSeriesParser k21Parser =
1300 new PoissonSeriesParser(18).
1301 withOptionalColumn(1).
1302 withDoodson(4, 3).
1303 withFirstDelaunay(10);
1304 final PoissonSeriesParser k22Parser =
1305 new PoissonSeriesParser(16).
1306 withOptionalColumn(1).
1307 withDoodson(4, 2).
1308 withFirstDelaunay(10);
1309
1310 final double pico = 1.0e-12;
1311 try (InputStream k20In = getStream(K20_FREQUENCY_DEPENDENCE);
1312 InputStream k21In1 = getStream(K21_FREQUENCY_DEPENDENCE);
1313 InputStream k21In2 = getStream(K21_FREQUENCY_DEPENDENCE);
1314 InputStream k22In1 = getStream(K22_FREQUENCY_DEPENDENCE);
1315 InputStream k22In2 = getStream(K22_FREQUENCY_DEPENDENCE)) {
1316 final PoissonSeries c20Series =
1317 k20Parser.
1318 withSinCos(0, 18, -pico, 16, pico).
1319 parse(k20In, K20_FREQUENCY_DEPENDENCE);
1320 final PoissonSeries c21Series =
1321 k21Parser.
1322 withSinCos(0, 17, pico, 18, pico).
1323 parse(k21In1, K21_FREQUENCY_DEPENDENCE);
1324 final PoissonSeries s21Series =
1325 k21Parser.
1326 withSinCos(0, 18, -pico, 17, pico).
1327 parse(k21In2, K21_FREQUENCY_DEPENDENCE);
1328 final PoissonSeries c22Series =
1329 k22Parser.
1330 withSinCos(0, -1, pico, 16, pico).
1331 parse(k22In1, K22_FREQUENCY_DEPENDENCE);
1332 final PoissonSeries s22Series =
1333 k22Parser.
1334 withSinCos(0, 16, -pico, -1, pico).
1335 parse(k22In2, K22_FREQUENCY_DEPENDENCE);
1336
1337 return new TideFrequencyDependenceFunction(arguments,
1338 c20Series,
1339 c21Series, s21Series,
1340 c22Series, s22Series);
1341 } catch (IOException e) {
1342 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1343 }
1344
1345 }
1346
1347
1348 @Override
1349 public double getPermanentTide() {
1350 return 4.4228e-8 * -0.31460 * getLoveNumbers().getReal(2, 0);
1351 }
1352
1353
1354 @Override
1355 public TimeVectorFunction getSolidPoleTide(final EOPHistory eopHistory) {
1356
1357
1358 final TimeScale utc = eopHistory.getTimeScales().getUTC();
1359 final SimpleTimeStampedTableParser.RowConverter<MeanPole> converter =
1360 new SimpleTimeStampedTableParser.RowConverter<MeanPole>() {
1361
1362 @Override
1363 public MeanPole convert(final double[] rawFields) {
1364 return new MeanPole(new AbsoluteDate((int) rawFields[0], 1, 1, utc),
1365 rawFields[1] * Constants.ARC_SECONDS_TO_RADIANS,
1366 rawFields[2] * Constants.ARC_SECONDS_TO_RADIANS);
1367 }
1368 };
1369 final SimpleTimeStampedTableParser<MeanPole> parser =
1370 new SimpleTimeStampedTableParser<MeanPole>(3, converter);
1371 final List<MeanPole> annualPoleList;
1372 try (InputStream in = getStream(ANNUAL_POLE)) {
1373 annualPoleList = parser.parse(in, ANNUAL_POLE);
1374 } catch (IOException e) {
1375 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1376 }
1377 final AbsoluteDate firstAnnualPoleDate = annualPoleList.get(0).getDate();
1378 final AbsoluteDate lastAnnualPoleDate = annualPoleList.get(annualPoleList.size() - 1).getDate();
1379 final ImmutableTimeStampedCache<MeanPole> annualCache =
1380 new ImmutableTimeStampedCache<MeanPole>(2, annualPoleList);
1381
1382
1383 final double xp0 = 0.054 * Constants.ARC_SECONDS_TO_RADIANS;
1384 final double xp0Dot = 0.00083 * Constants.ARC_SECONDS_TO_RADIANS / Constants.JULIAN_YEAR;
1385 final double yp0 = 0.357 * Constants.ARC_SECONDS_TO_RADIANS;
1386 final double yp0Dot = 0.00395 * Constants.ARC_SECONDS_TO_RADIANS / Constants.JULIAN_YEAR;
1387
1388
1389 final double globalFactor = -1.333e-9 / Constants.ARC_SECONDS_TO_RADIANS;
1390 final double ratio = 0.00115;
1391
1392 return new TimeVectorFunction() {
1393
1394
1395 @Override
1396 public double[] value(final AbsoluteDate date) {
1397
1398
1399 if (date.compareTo(firstAnnualPoleDate) <= 0) {
1400 return new double[] {
1401 0.0, 0.0
1402 };
1403 }
1404
1405
1406 double meanPoleX = 0;
1407 double meanPoleY = 0;
1408 if (date.compareTo(lastAnnualPoleDate) <= 0) {
1409
1410
1411 try {
1412 final HermiteInterpolator interpolator = new HermiteInterpolator();
1413 annualCache.getNeighbors(date).forEach(neighbor ->
1414 interpolator.addSamplePoint(neighbor.getDate().durationFrom(date),
1415 new double[] {
1416 neighbor.getX(), neighbor.getY()
1417 }));
1418 final double[] interpolated = interpolator.value(0);
1419 meanPoleX = interpolated[0];
1420 meanPoleY = interpolated[1];
1421 } catch (TimeStampedCacheException tsce) {
1422
1423 throw new OrekitInternalError(tsce);
1424 }
1425 } else {
1426
1427
1428
1429 final double t = date.durationFrom(
1430 eopHistory.getTimeScales().getJ2000Epoch());
1431 meanPoleX = xp0 + t * xp0Dot;
1432 meanPoleY = yp0 + t * yp0Dot;
1433
1434 }
1435
1436
1437 final PoleCorrection correction = eopHistory.getPoleCorrection(date);
1438 final double m1 = correction.getXp() - meanPoleX;
1439 final double m2 = meanPoleY - correction.getYp();
1440
1441 return new double[] {
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468 globalFactor * (m1 - ratio * m2),
1469 globalFactor * (m2 + ratio * m1),
1470 };
1471
1472 }
1473
1474
1475 @Override
1476 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
1477
1478 final AbsoluteDate aDate = date.toAbsoluteDate();
1479
1480
1481 if (aDate.compareTo(firstAnnualPoleDate) <= 0) {
1482 return MathArrays.buildArray(date.getField(), 2);
1483 }
1484
1485
1486 T meanPoleX = date.getField().getZero();
1487 T meanPoleY = date.getField().getZero();
1488 if (aDate.compareTo(lastAnnualPoleDate) <= 0) {
1489
1490
1491 try {
1492 final FieldHermiteInterpolator<T> interpolator = new FieldHermiteInterpolator<>();
1493 final T[] y = MathArrays.buildArray(date.getField(), 2);
1494 final T zero = date.getField().getZero();
1495 final FieldAbsoluteDate<T> central = new FieldAbsoluteDate<>(aDate, zero);
1496
1497
1498 annualCache.getNeighbors(aDate).forEach(neighbor -> {
1499 y[0] = zero.add(neighbor.getX());
1500 y[1] = zero.add(neighbor.getY());
1501 interpolator.addSamplePoint(central.durationFrom(neighbor.getDate()).negate(), y);
1502 });
1503 final T[] interpolated = interpolator.value(date.durationFrom(central));
1504 meanPoleX = interpolated[0];
1505 meanPoleY = interpolated[1];
1506 } catch (TimeStampedCacheException tsce) {
1507
1508 throw new OrekitInternalError(tsce);
1509 }
1510 } else {
1511
1512
1513
1514 final T t = date.durationFrom(
1515 eopHistory.getTimeScales().getJ2000Epoch());
1516 meanPoleX = t.multiply(xp0Dot).add(xp0);
1517 meanPoleY = t.multiply(yp0Dot).add(yp0);
1518
1519 }
1520
1521
1522 final FieldPoleCorrection<T> correction = eopHistory.getPoleCorrection(date);
1523 final T m1 = correction.getXp().subtract(meanPoleX);
1524 final T m2 = meanPoleY.subtract(correction.getYp());
1525
1526 final T[] a = MathArrays.buildArray(date.getField(), 2);
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554 a[0] = m1.add(m2.multiply(-ratio)).multiply(globalFactor);
1555 a[1] = m2.add(m1.multiply( ratio)).multiply(globalFactor);
1556
1557 return a;
1558
1559 }
1560
1561 };
1562
1563 }
1564
1565
1566 @Override
1567 public TimeVectorFunction getOceanPoleTide(final EOPHistory eopHistory) {
1568
1569 return new TimeVectorFunction() {
1570
1571
1572 @Override
1573 public double[] value(final AbsoluteDate date) {
1574
1575 return new double[] {
1576 0.0, 0.0
1577 };
1578 }
1579
1580
1581 @Override
1582 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
1583
1584 return MathArrays.buildArray(date.getField(), 2);
1585 }
1586
1587 };
1588 }
1589
1590
1591 @Override
1592 public double[] getNominalTidalDisplacement() {
1593 return new double[] {
1594
1595 0.6078, -0.0006, 0.292, -0.0025, -0.0022,
1596
1597 0.0847, 0.0012, 0.0024, 0.0002, 0.015, -0.0007, -0.0007,
1598
1599 -0.31460
1600 };
1601 }
1602
1603
1604 @Override
1605 public CompiledSeries getTidalDisplacementFrequencyCorrectionDiurnal() {
1606 return getTidalDisplacementFrequencyCorrectionDiurnal(TIDAL_DISPLACEMENT_CORRECTION_DIURNAL,
1607 18, 15, 16, 17, 18);
1608 }
1609
1610
1611 @Override
1612 public CompiledSeries getTidalDisplacementFrequencyCorrectionZonal() {
1613 return getTidalDisplacementFrequencyCorrectionZonal(TIDAL_DISPLACEMENT_CORRECTION_ZONAL,
1614 18, 15, 16, 17, 18);
1615 }
1616
1617 },
1618
1619
1620 IERS_2010 {
1621
1622
1623 private static final String NUTATION_ARGUMENTS = IERS_BASE + "2010/nutation-arguments.txt";
1624
1625
1626 private static final String X_SERIES = IERS_BASE + "2010/tab5.2a.txt";
1627
1628
1629 private static final String Y_SERIES = IERS_BASE + "2010/tab5.2b.txt";
1630
1631
1632 private static final String S_SERIES = IERS_BASE + "2010/tab5.2d.txt";
1633
1634
1635 private static final String PSI_SERIES = IERS_BASE + "2010/tab5.3a.txt";
1636
1637
1638 private static final String EPSILON_SERIES = IERS_BASE + "2010/tab5.3b.txt";
1639
1640
1641 private static final String GST_SERIES = IERS_BASE + "2010/tab5.2e.txt";
1642
1643
1644 private static final String TIDAL_CORRECTION_XP_YP_SERIES = IERS_BASE + "2010/tab8.2ab.txt";
1645
1646
1647 private static final String TIDAL_CORRECTION_UT1_SERIES = IERS_BASE + "2010/tab8.3ab.txt";
1648
1649
1650 private static final String LOVE_NUMBERS = IERS_BASE + "2010/tab6.3.txt";
1651
1652
1653 private static final String K20_FREQUENCY_DEPENDENCE = IERS_BASE + "2010/tab6.5b.txt";
1654
1655
1656 private static final String K21_FREQUENCY_DEPENDENCE = IERS_BASE + "2010/tab6.5a.txt";
1657
1658
1659 private static final String K22_FREQUENCY_DEPENDENCE = IERS_BASE + "2010/tab6.5c.txt";
1660
1661
1662 private static final String TIDAL_DISPLACEMENT_CORRECTION_DIURNAL = IERS_BASE + "2010/tab7.3a.txt";
1663
1664
1665 private static final String TIDAL_DISPLACEMENT_CORRECTION_ZONAL = IERS_BASE + "2010/tab7.3b.txt";
1666
1667
1668 public FundamentalNutationArguments getNutationArguments(final TimeScale timeScale,
1669 final TimeScales timeScales) {
1670 try (InputStream in = getStream(NUTATION_ARGUMENTS)) {
1671 return new FundamentalNutationArguments(this, timeScale,
1672 in, NUTATION_ARGUMENTS, timeScales);
1673 } catch (IOException e) {
1674 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1675 }
1676 }
1677
1678
1679 @Override
1680 public TimeScalarFunction getMeanObliquityFunction(final TimeScales timeScales) {
1681
1682
1683 final PolynomialNutation epsilonA =
1684 new PolynomialNutation(84381.406 * Constants.ARC_SECONDS_TO_RADIANS,
1685 -46.836769 * Constants.ARC_SECONDS_TO_RADIANS,
1686 -0.0001831 * Constants.ARC_SECONDS_TO_RADIANS,
1687 0.00200340 * Constants.ARC_SECONDS_TO_RADIANS,
1688 -0.000000576 * Constants.ARC_SECONDS_TO_RADIANS,
1689 -0.0000000434 * Constants.ARC_SECONDS_TO_RADIANS);
1690
1691 return new TimeScalarFunction() {
1692
1693
1694 @Override
1695 public double value(final AbsoluteDate date) {
1696 return epsilonA.value(evaluateTC(date, timeScales));
1697 }
1698
1699
1700 @Override
1701 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
1702 return epsilonA.value(evaluateTC(date, timeScales));
1703 }
1704
1705 };
1706
1707 }
1708
1709
1710 @Override
1711 public TimeVectorFunction getXYSpXY2Function(final TimeScales timeScales) {
1712
1713
1714 final FundamentalNutationArguments arguments =
1715 getNutationArguments(timeScales);
1716
1717
1718 final double microAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-6;
1719 final PoissonSeriesParser parser =
1720 new PoissonSeriesParser(17).
1721 withPolynomialPart('t', PolynomialParser.Unit.MICRO_ARC_SECONDS).
1722 withFirstDelaunay(4).
1723 withFirstPlanetary(9).
1724 withSinCos(0, 2, microAS, 3, microAS);
1725 final PoissonSeries.CompiledSeries xys;
1726 try (InputStream xIn = getStream(X_SERIES);
1727 InputStream yIn = getStream(Y_SERIES);
1728 InputStream sIn = getStream(S_SERIES)) {
1729 final PoissonSeries xSeries = parser.parse(xIn, X_SERIES);
1730 final PoissonSeries ySeries = parser.parse(yIn, Y_SERIES);
1731 final PoissonSeries sSeries = parser.parse(sIn, S_SERIES);
1732 xys = PoissonSeries.compile(xSeries, ySeries, sSeries);
1733 } catch (IOException e) {
1734 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1735 }
1736
1737
1738 return new TimeVectorFunction() {
1739
1740
1741 @Override
1742 public double[] value(final AbsoluteDate date) {
1743 return xys.value(arguments.evaluateAll(date));
1744 }
1745
1746
1747 @Override
1748 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
1749 return xys.value(arguments.evaluateAll(date));
1750 }
1751
1752 };
1753
1754 }
1755
1756
1757 public LoveNumbers getLoveNumbers() {
1758 return loadLoveNumbers(LOVE_NUMBERS);
1759 }
1760
1761
1762 public TimeVectorFunction getTideFrequencyDependenceFunction(final TimeScale ut1,
1763 final TimeScales timeScales) {
1764
1765
1766 final FundamentalNutationArguments arguments = getNutationArguments(ut1, timeScales);
1767
1768
1769 final PoissonSeriesParser k20Parser =
1770 new PoissonSeriesParser(18).
1771 withOptionalColumn(1).
1772 withDoodson(4, 2).
1773 withFirstDelaunay(10);
1774 final PoissonSeriesParser k21Parser =
1775 new PoissonSeriesParser(18).
1776 withOptionalColumn(1).
1777 withDoodson(4, 3).
1778 withFirstDelaunay(10);
1779 final PoissonSeriesParser k22Parser =
1780 new PoissonSeriesParser(16).
1781 withOptionalColumn(1).
1782 withDoodson(4, 2).
1783 withFirstDelaunay(10);
1784
1785 final double pico = 1.0e-12;
1786 try (InputStream k0In = getStream(K20_FREQUENCY_DEPENDENCE);
1787 InputStream k21In1 = getStream(K21_FREQUENCY_DEPENDENCE);
1788 InputStream k21In2 = getStream(K21_FREQUENCY_DEPENDENCE);
1789 InputStream k22In1 = getStream(K22_FREQUENCY_DEPENDENCE);
1790 InputStream k22In2 = getStream(K22_FREQUENCY_DEPENDENCE)) {
1791 final PoissonSeries c20Series =
1792 k20Parser.
1793 withSinCos(0, 18, -pico, 16, pico).
1794 parse(k0In, K20_FREQUENCY_DEPENDENCE);
1795 final PoissonSeries c21Series =
1796 k21Parser.
1797 withSinCos(0, 17, pico, 18, pico).
1798 parse(k21In1, K21_FREQUENCY_DEPENDENCE);
1799 final PoissonSeries s21Series =
1800 k21Parser.
1801 withSinCos(0, 18, -pico, 17, pico).
1802 parse(k21In2, K21_FREQUENCY_DEPENDENCE);
1803 final PoissonSeries c22Series =
1804 k22Parser.
1805 withSinCos(0, -1, pico, 16, pico).
1806 parse(k22In1, K22_FREQUENCY_DEPENDENCE);
1807 final PoissonSeries s22Series =
1808 k22Parser.
1809 withSinCos(0, 16, -pico, -1, pico).
1810 parse(k22In2, K22_FREQUENCY_DEPENDENCE);
1811
1812 return new TideFrequencyDependenceFunction(arguments,
1813 c20Series,
1814 c21Series, s21Series,
1815 c22Series, s22Series);
1816 } catch (IOException e) {
1817 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
1818 }
1819
1820 }
1821
1822
1823 @Override
1824 public double getPermanentTide() {
1825 return 4.4228e-8 * -0.31460 * getLoveNumbers().getReal(2, 0);
1826 }
1827
1828
1829
1830
1831
1832
1833 private double[] computePoleWobble(final AbsoluteDate date, final EOPHistory eopHistory) {
1834
1835
1836 final double f0 = Constants.ARC_SECONDS_TO_RADIANS / 1000.0;
1837 final double f1 = f0 / Constants.JULIAN_YEAR;
1838 final double f2 = f1 / Constants.JULIAN_YEAR;
1839 final double f3 = f2 / Constants.JULIAN_YEAR;
1840 final AbsoluteDate changeDate =
1841 new AbsoluteDate(2010, 1, 1, eopHistory.getTimeScales().getTT());
1842
1843
1844 final double[] xPolynomial;
1845 final double[] yPolynomial;
1846 if (date.compareTo(changeDate) <= 0) {
1847 xPolynomial = new double[] {
1848 55.974 * f0, 1.8243 * f1, 0.18413 * f2, 0.007024 * f3
1849 };
1850 yPolynomial = new double[] {
1851 346.346 * f0, 1.7896 * f1, -0.10729 * f2, -0.000908 * f3
1852 };
1853 } else {
1854 xPolynomial = new double[] {
1855 23.513 * f0, 7.6141 * f1
1856 };
1857 yPolynomial = new double[] {
1858 358.891 * f0, -0.6287 * f1
1859 };
1860 }
1861 double meanPoleX = 0;
1862 double meanPoleY = 0;
1863 final double t = date.durationFrom(
1864 eopHistory.getTimeScales().getJ2000Epoch());
1865 for (int i = xPolynomial.length - 1; i >= 0; --i) {
1866 meanPoleX = meanPoleX * t + xPolynomial[i];
1867 }
1868 for (int i = yPolynomial.length - 1; i >= 0; --i) {
1869 meanPoleY = meanPoleY * t + yPolynomial[i];
1870 }
1871
1872
1873 final PoleCorrection correction = eopHistory.getPoleCorrection(date);
1874 final double m1 = correction.getXp() - meanPoleX;
1875 final double m2 = meanPoleY - correction.getYp();
1876
1877 return new double[] {
1878 m1, m2
1879 };
1880
1881 }
1882
1883
1884
1885
1886
1887
1888
1889 private <T extends RealFieldElement<T>> T[] computePoleWobble(final FieldAbsoluteDate<T> date, final EOPHistory eopHistory) {
1890
1891
1892 final double f0 = Constants.ARC_SECONDS_TO_RADIANS / 1000.0;
1893 final double f1 = f0 / Constants.JULIAN_YEAR;
1894 final double f2 = f1 / Constants.JULIAN_YEAR;
1895 final double f3 = f2 / Constants.JULIAN_YEAR;
1896 final AbsoluteDate changeDate =
1897 new AbsoluteDate(2010, 1, 1, eopHistory.getTimeScales().getTT());
1898
1899
1900 final double[] xPolynomial;
1901 final double[] yPolynomial;
1902 if (date.toAbsoluteDate().compareTo(changeDate) <= 0) {
1903 xPolynomial = new double[] {
1904 55.974 * f0, 1.8243 * f1, 0.18413 * f2, 0.007024 * f3
1905 };
1906 yPolynomial = new double[] {
1907 346.346 * f0, 1.7896 * f1, -0.10729 * f2, -0.000908 * f3
1908 };
1909 } else {
1910 xPolynomial = new double[] {
1911 23.513 * f0, 7.6141 * f1
1912 };
1913 yPolynomial = new double[] {
1914 358.891 * f0, -0.6287 * f1
1915 };
1916 }
1917 T meanPoleX = date.getField().getZero();
1918 T meanPoleY = date.getField().getZero();
1919 final T t = date.durationFrom(
1920 eopHistory.getTimeScales().getJ2000Epoch());
1921 for (int i = xPolynomial.length - 1; i >= 0; --i) {
1922 meanPoleX = meanPoleX.multiply(t).add(xPolynomial[i]);
1923 }
1924 for (int i = yPolynomial.length - 1; i >= 0; --i) {
1925 meanPoleY = meanPoleY.multiply(t).add(yPolynomial[i]);
1926 }
1927
1928
1929 final FieldPoleCorrection<T> correction = eopHistory.getPoleCorrection(date);
1930 final T[] m = MathArrays.buildArray(date.getField(), 2);
1931 m[0] = correction.getXp().subtract(meanPoleX);
1932 m[1] = meanPoleY.subtract(correction.getYp());
1933
1934 return m;
1935
1936 }
1937
1938
1939 @Override
1940 public TimeVectorFunction getSolidPoleTide(final EOPHistory eopHistory) {
1941
1942
1943 final double globalFactor = -1.333e-9 / Constants.ARC_SECONDS_TO_RADIANS;
1944 final double ratio = 0.00115;
1945
1946 return new TimeVectorFunction() {
1947
1948
1949 @Override
1950 public double[] value(final AbsoluteDate date) {
1951
1952
1953 final double[] wobbleM = computePoleWobble(date, eopHistory);
1954
1955 return new double[] {
1956
1957
1958
1959
1960
1961
1962
1963
1964 globalFactor * (wobbleM[0] + ratio * wobbleM[1]),
1965 globalFactor * (wobbleM[1] - ratio * wobbleM[0])
1966 };
1967
1968 }
1969
1970
1971 @Override
1972 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
1973
1974
1975 final T[] wobbleM = computePoleWobble(date, eopHistory);
1976
1977 final T[] a = MathArrays.buildArray(date.getField(), 2);
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987 a[0] = wobbleM[0].add(wobbleM[1].multiply( ratio)).multiply(globalFactor);
1988 a[1] = wobbleM[1].add(wobbleM[0].multiply(-ratio)).multiply(globalFactor);
1989
1990 return a;
1991
1992 }
1993
1994 };
1995
1996 }
1997
1998
1999 @Override
2000 public TimeVectorFunction getOceanPoleTide(final EOPHistory eopHistory) {
2001
2002 return new TimeVectorFunction() {
2003
2004
2005 @Override
2006 public double[] value(final AbsoluteDate date) {
2007
2008
2009 final double[] wobbleM = computePoleWobble(date, eopHistory);
2010
2011 return new double[] {
2012
2013
2014
2015
2016 -2.1778e-10 * (wobbleM[0] - 0.01724 * wobbleM[1]) / Constants.ARC_SECONDS_TO_RADIANS,
2017 -1.7232e-10 * (wobbleM[1] - 0.03365 * wobbleM[0]) / Constants.ARC_SECONDS_TO_RADIANS
2018 };
2019
2020 }
2021
2022
2023 @Override
2024 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
2025
2026 final T[] v = MathArrays.buildArray(date.getField(), 2);
2027
2028
2029 final T[] wobbleM = computePoleWobble(date, eopHistory);
2030
2031
2032
2033
2034
2035 v[0] = wobbleM[0].subtract(wobbleM[1].multiply(0.01724)).multiply(-2.1778e-10 / Constants.ARC_SECONDS_TO_RADIANS);
2036 v[1] = wobbleM[1].subtract(wobbleM[0].multiply(0.03365)).multiply(-1.7232e-10 / Constants.ARC_SECONDS_TO_RADIANS);
2037
2038 return v;
2039
2040 }
2041
2042 };
2043
2044 }
2045
2046
2047 @Override
2048 public TimeVectorFunction getPrecessionFunction(final TimeScales timeScales) {
2049
2050
2051
2052 final PolynomialNutation psiA =
2053 new PolynomialNutation( 0.0,
2054 5038.481507 * Constants.ARC_SECONDS_TO_RADIANS,
2055 -1.0790069 * Constants.ARC_SECONDS_TO_RADIANS,
2056 -0.00114045 * Constants.ARC_SECONDS_TO_RADIANS,
2057 0.000132851 * Constants.ARC_SECONDS_TO_RADIANS,
2058 -0.0000000951 * Constants.ARC_SECONDS_TO_RADIANS);
2059 final PolynomialNutation omegaA =
2060 new PolynomialNutation(getMeanObliquityFunction(timeScales)
2061 .value(getNutationReferenceEpoch(timeScales)),
2062 -0.025754 * Constants.ARC_SECONDS_TO_RADIANS,
2063 0.0512623 * Constants.ARC_SECONDS_TO_RADIANS,
2064 -0.00772503 * Constants.ARC_SECONDS_TO_RADIANS,
2065 -0.000000467 * Constants.ARC_SECONDS_TO_RADIANS,
2066 0.0000003337 * Constants.ARC_SECONDS_TO_RADIANS);
2067 final PolynomialNutation chiA =
2068 new PolynomialNutation( 0.0,
2069 10.556403 * Constants.ARC_SECONDS_TO_RADIANS,
2070 -2.3814292 * Constants.ARC_SECONDS_TO_RADIANS,
2071 -0.00121197 * Constants.ARC_SECONDS_TO_RADIANS,
2072 0.000170663 * Constants.ARC_SECONDS_TO_RADIANS,
2073 -0.0000000560 * Constants.ARC_SECONDS_TO_RADIANS);
2074
2075 return new PrecessionFunction(psiA, omegaA, chiA, timeScales);
2076
2077 }
2078
2079
2080 @Override
2081 public TimeVectorFunction getNutationFunction(final TimeScales timeScales) {
2082
2083
2084 final FundamentalNutationArguments arguments =
2085 getNutationArguments(timeScales);
2086
2087
2088 final double microAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-6;
2089 final PoissonSeriesParser parser =
2090 new PoissonSeriesParser(17).
2091 withFirstDelaunay(4).
2092 withFirstPlanetary(9).
2093 withSinCos(0, 2, microAS, 3, microAS);
2094 final PoissonSeries.CompiledSeries psiEpsilonSeries;
2095 try (InputStream psiIn = getStream(PSI_SERIES);
2096 InputStream epsilonIn = getStream(EPSILON_SERIES)) {
2097 final PoissonSeries psiSeries = parser.parse(psiIn, PSI_SERIES);
2098 final PoissonSeries epsilonSeries = parser.parse(epsilonIn, EPSILON_SERIES);
2099 psiEpsilonSeries = PoissonSeries.compile(psiSeries, epsilonSeries);
2100 } catch (IOException e) {
2101 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
2102 }
2103
2104 return new TimeVectorFunction() {
2105
2106
2107 @Override
2108 public double[] value(final AbsoluteDate date) {
2109 final BodiesElements elements = arguments.evaluateAll(date);
2110 final double[] psiEpsilon = psiEpsilonSeries.value(elements);
2111 return new double[] {
2112 psiEpsilon[0], psiEpsilon[1],
2113 IAU1994ResolutionC7.value(elements, timeScales.getTAI())
2114 };
2115 }
2116
2117
2118 @Override
2119 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
2120 final FieldBodiesElements<T> elements = arguments.evaluateAll(date);
2121 final T[] psiEpsilon = psiEpsilonSeries.value(elements);
2122 final T[] result = MathArrays.buildArray(date.getField(), 3);
2123 result[0] = psiEpsilon[0];
2124 result[1] = psiEpsilon[1];
2125 result[2] = IAU1994ResolutionC7.value(elements, timeScales.getTAI());
2126 return result;
2127 }
2128
2129 };
2130
2131 }
2132
2133
2134 @Override
2135 public TimeScalarFunction getGMSTFunction(final TimeScale ut1,
2136 final TimeScales timeScales) {
2137
2138
2139 final StellarAngleCapitaine era =
2140 new StellarAngleCapitaine(ut1, timeScales.getTAI());
2141
2142
2143
2144 final double microAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-6;
2145 final PoissonSeriesParser parser =
2146 new PoissonSeriesParser(17).
2147 withFirstDelaunay(4).
2148 withFirstPlanetary(9).
2149 withSinCos(0, 2, microAS, 3, microAS).
2150 withPolynomialPart('t', Unit.ARC_SECONDS);
2151 final PolynomialNutation minusEO;
2152 try (InputStream in = getStream(GST_SERIES)) {
2153 minusEO = parser.parse(in, GST_SERIES).getPolynomial();
2154 } catch (IOException e) {
2155 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
2156 }
2157
2158
2159 return new TimeScalarFunction() {
2160
2161
2162 @Override
2163 public double value(final AbsoluteDate date) {
2164 return era.value(date) + minusEO.value(evaluateTC(date, timeScales));
2165 }
2166
2167
2168 @Override
2169 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
2170 return era.value(date).add(minusEO.value(evaluateTC(date, timeScales)));
2171 }
2172
2173 };
2174
2175 }
2176
2177
2178 @Override
2179 public TimeScalarFunction getGMSTRateFunction(final TimeScale ut1,
2180 final TimeScales timeScales) {
2181
2182
2183 final StellarAngleCapitaine era =
2184 new StellarAngleCapitaine(ut1, timeScales.getTAI());
2185
2186
2187
2188 final double microAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-6;
2189 final PoissonSeriesParser parser =
2190 new PoissonSeriesParser(17).
2191 withFirstDelaunay(4).
2192 withFirstPlanetary(9).
2193 withSinCos(0, 2, microAS, 3, microAS).
2194 withPolynomialPart('t', Unit.ARC_SECONDS);
2195 final PolynomialNutation minusEO;
2196 try (InputStream in = getStream(GST_SERIES)) {
2197 minusEO = parser.parse(in, GST_SERIES).getPolynomial();
2198 } catch (IOException e) {
2199 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
2200 }
2201
2202
2203 return new TimeScalarFunction() {
2204
2205
2206 @Override
2207 public double value(final AbsoluteDate date) {
2208 return era.getRate() + minusEO.derivative(evaluateTC(date, timeScales));
2209 }
2210
2211
2212 @Override
2213 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
2214 return minusEO.derivative(evaluateTC(date, timeScales)).add(era.getRate());
2215 }
2216
2217 };
2218
2219 }
2220
2221
2222 @Override
2223 public TimeScalarFunction getGASTFunction(final TimeScale ut1,
2224 final EOPHistory eopHistory,
2225 final TimeScales timeScales) {
2226
2227
2228 final FundamentalNutationArguments arguments =
2229 getNutationArguments(timeScales);
2230
2231
2232 final TimeScalarFunction epsilon = getMeanObliquityFunction(timeScales);
2233
2234
2235 final double microAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-6;
2236 final PoissonSeriesParser baseParser =
2237 new PoissonSeriesParser(17).
2238 withFirstDelaunay(4).
2239 withFirstPlanetary(9).
2240 withSinCos(0, 2, microAS, 3, microAS);
2241 final PoissonSeriesParser gstParser = baseParser.withPolynomialPart('t', Unit.ARC_SECONDS);
2242 final PoissonSeries.CompiledSeries psiGstSeries;
2243 try (InputStream psiIn = getStream(PSI_SERIES);
2244 InputStream gstIn = getStream(GST_SERIES)) {
2245 final PoissonSeries psiSeries = baseParser.parse(psiIn, PSI_SERIES);
2246 final PoissonSeries gstSeries = gstParser.parse(gstIn, GST_SERIES);
2247 psiGstSeries = PoissonSeries.compile(psiSeries, gstSeries);
2248 } catch (IOException e) {
2249 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
2250 }
2251
2252
2253 final TimeScalarFunction era =
2254 getEarthOrientationAngleFunction(ut1, timeScales.getTAI());
2255
2256 return new TimeScalarFunction() {
2257
2258
2259 @Override
2260 public double value(final AbsoluteDate date) {
2261
2262
2263 final BodiesElements elements = arguments.evaluateAll(date);
2264 final double[] angles = psiGstSeries.value(elements);
2265 final double ddPsi = (eopHistory == null) ? 0 : eopHistory.getEquinoxNutationCorrection(date)[0];
2266 final double deltaPsi = angles[0] + ddPsi;
2267 final double epsilonA = epsilon.value(date);
2268
2269
2270
2271 return era.value(date) + deltaPsi * FastMath.cos(epsilonA) + angles[1];
2272
2273 }
2274
2275
2276 @Override
2277 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
2278
2279
2280 final FieldBodiesElements<T> elements = arguments.evaluateAll(date);
2281 final T[] angles = psiGstSeries.value(elements);
2282 final T ddPsi = (eopHistory == null) ? date.getField().getZero() : eopHistory.getEquinoxNutationCorrection(date)[0];
2283 final T deltaPsi = angles[0].add(ddPsi);
2284 final T epsilonA = epsilon.value(date);
2285
2286
2287
2288 return era.value(date).add(deltaPsi.multiply(epsilonA.cos())).add(angles[1]);
2289
2290 }
2291
2292 };
2293
2294 }
2295
2296
2297 @Override
2298 public TimeVectorFunction getEOPTidalCorrection(final TimeScales timeScales) {
2299
2300
2301
2302
2303
2304
2305 final FundamentalNutationArguments arguments =
2306 getNutationArguments(timeScales.getTT(), timeScales);
2307
2308
2309 final double microAS = Constants.ARC_SECONDS_TO_RADIANS * 1.0e-6;
2310 final PoissonSeriesParseronSeriesParser">PoissonSeriesParser xyParser = new PoissonSeriesParser(13).
2311 withOptionalColumn(1).
2312 withGamma(2).
2313 withFirstDelaunay(3);
2314 try (InputStream xpIn = getStream(TIDAL_CORRECTION_XP_YP_SERIES);
2315 InputStream ypIn = getStream(TIDAL_CORRECTION_XP_YP_SERIES);
2316 InputStream ut1In = getStream(TIDAL_CORRECTION_UT1_SERIES)) {
2317 final PoissonSeries xSeries =
2318 xyParser.
2319 withSinCos(0, 10, microAS, 11, microAS).
2320 parse(xpIn, TIDAL_CORRECTION_XP_YP_SERIES);
2321 final PoissonSeries ySeries =
2322 xyParser.
2323 withSinCos(0, 12, microAS, 13, microAS).
2324 parse(ypIn, TIDAL_CORRECTION_XP_YP_SERIES);
2325
2326 final double microS = 1.0e-6;
2327 final PoissonSeriesParsernSeriesParser">PoissonSeriesParser ut1Parser = new PoissonSeriesParser(11).
2328 withOptionalColumn(1).
2329 withGamma(2).
2330 withFirstDelaunay(3).
2331 withSinCos(0, 10, microS, 11, microS);
2332 final PoissonSeries ut1Series =
2333 ut1Parser.parse(ut1In, TIDAL_CORRECTION_UT1_SERIES);
2334
2335 return new EOPTidalCorrection(arguments, xSeries, ySeries, ut1Series);
2336 } catch (IOException e) {
2337 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
2338 }
2339
2340 }
2341
2342
2343 @Override
2344 public double[] getNominalTidalDisplacement() {
2345 return new double[] {
2346
2347 0.6078, -0.0006, 0.292, -0.0025, -0.0022,
2348
2349 0.0847, 0.0012, 0.0024, 0.0002, 0.015, -0.0007, -0.0007,
2350
2351 -0.31460
2352 };
2353 }
2354
2355
2356 @Override
2357 public CompiledSeries getTidalDisplacementFrequencyCorrectionDiurnal() {
2358 return getTidalDisplacementFrequencyCorrectionDiurnal(TIDAL_DISPLACEMENT_CORRECTION_DIURNAL,
2359 18, 15, 16, 17, 18);
2360 }
2361
2362
2363 @Override
2364 public CompiledSeries getTidalDisplacementFrequencyCorrectionZonal() {
2365 return getTidalDisplacementFrequencyCorrectionZonal(TIDAL_DISPLACEMENT_CORRECTION_ZONAL,
2366 18, 15, 16, 17, 18);
2367 }
2368
2369 };
2370
2371
2372 private static final Pattern SEPARATOR = Pattern.compile("\\p{Space}+");
2373
2374
2375 private static final String IERS_BASE = "/assets/org/orekit/IERS-conventions/";
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385 @DefaultDataContext
2386 public AbsoluteDate getNutationReferenceEpoch() {
2387 return getNutationReferenceEpoch(DataContext.getDefault().getTimeScales());
2388 }
2389
2390
2391
2392
2393
2394
2395
2396
2397 public AbsoluteDate getNutationReferenceEpoch(final TimeScales timeScales) {
2398
2399 return timeScales.getJ2000Epoch();
2400 }
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411 @DefaultDataContext
2412 public double evaluateTC(final AbsoluteDate date) {
2413 return evaluateTC(date, DataContext.getDefault().getTimeScales());
2414 }
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425 public double evaluateTC(final AbsoluteDate date, final TimeScales timeScales) {
2426 return date.durationFrom(getNutationReferenceEpoch(timeScales)) /
2427 Constants.JULIAN_CENTURY;
2428 }
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440 @DefaultDataContext
2441 public <T extends RealFieldElement<T>> T evaluateTC(final FieldAbsoluteDate<T> date) {
2442 return evaluateTC(date, DataContext.getDefault().getTimeScales());
2443 }
2444
2445
2446
2447
2448
2449
2450
2451
2452 public <T extends RealFieldElement<T>> T evaluateTC(final FieldAbsoluteDate<T> date,
2453 final TimeScales timeScales) {
2454 return date.durationFrom(getNutationReferenceEpoch(timeScales))
2455 .divide(Constants.JULIAN_CENTURY);
2456 }
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467 protected FundamentalNutationArguments getNutationArguments(
2468 final TimeScales timeScales) {
2469
2470 return getNutationArguments(null, timeScales);
2471 }
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484 @DefaultDataContext
2485 public FundamentalNutationArguments getNutationArguments(final TimeScale timeScale) {
2486 return getNutationArguments(timeScale, DataContext.getDefault().getTimeScales());
2487 }
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498 public abstract FundamentalNutationArguments getNutationArguments(
2499 TimeScale timeScale,
2500 TimeScales timeScales);
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510 @DefaultDataContext
2511 public TimeScalarFunction getMeanObliquityFunction() {
2512 return getMeanObliquityFunction(DataContext.getDefault().getTimeScales());
2513 }
2514
2515
2516
2517
2518
2519
2520
2521
2522 public abstract TimeScalarFunction getMeanObliquityFunction(TimeScales timeScales);
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535 @DefaultDataContext
2536 public TimeVectorFunction getXYSpXY2Function() {
2537 return getXYSpXY2Function(DataContext.getDefault().getTimeScales());
2538 }
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553 public abstract TimeVectorFunction getXYSpXY2Function(TimeScales timeScales);
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570 @DefaultDataContext
2571 public TimeScalarFunction getEarthOrientationAngleFunction(final TimeScale ut1) {
2572 return getEarthOrientationAngleFunction(ut1,
2573 DataContext.getDefault().getTimeScales().getTAI());
2574 }
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588 public TimeScalarFunction getEarthOrientationAngleFunction(final TimeScale ut1,
2589 final TimeScale tai) {
2590 return new StellarAngleCapitaine(ut1, tai);
2591 }
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609 @DefaultDataContext
2610 public TimeVectorFunction getPrecessionFunction()
2611 {
2612 return getPrecessionFunction(DataContext.getDefault().getTimeScales());
2613 }
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628 public abstract TimeVectorFunction getPrecessionFunction(TimeScales timeScales);
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643 @DefaultDataContext
2644 public TimeVectorFunction getNutationFunction() {
2645 return getNutationFunction(DataContext.getDefault().getTimeScales());
2646 }
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659 public abstract TimeVectorFunction getNutationFunction(TimeScales timeScales);
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670 @DefaultDataContext
2671 public TimeScalarFunction getGMSTFunction(final TimeScale ut1) {
2672 return getGMSTFunction(ut1, DataContext.getDefault().getTimeScales());
2673 }
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683 public abstract TimeScalarFunction getGMSTFunction(TimeScale ut1,
2684 TimeScales timeScales);
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695 @DefaultDataContext
2696 public TimeScalarFunction getGMSTRateFunction(final TimeScale ut1) {
2697 return getGMSTRateFunction(ut1,
2698 DataContext.getDefault().getTimeScales());
2699 }
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710 public abstract TimeScalarFunction getGMSTRateFunction(TimeScale ut1,
2711 TimeScales timeScales);
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726 @DefaultDataContext
2727 public TimeScalarFunction getGASTFunction(final TimeScale ut1,
2728 final EOPHistory eopHistory) {
2729 final TimeScales timeScales = eopHistory != null ?
2730 eopHistory.getTimeScales() :
2731 DataContext.getDefault().getTimeScales();
2732 return getGASTFunction(ut1, eopHistory, timeScales);
2733 }
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745 public abstract TimeScalarFunction getGASTFunction(TimeScale ut1,
2746 EOPHistory eopHistory,
2747 TimeScales timeScales);
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758 @DefaultDataContext
2759 public TimeVectorFunction getEOPTidalCorrection() {
2760 return getEOPTidalCorrection(DataContext.getDefault().getTimeScales());
2761 }
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771 public abstract TimeVectorFunction getEOPTidalCorrection(TimeScales timeScales);
2772
2773
2774
2775
2776
2777 public abstract LoveNumbers getLoveNumbers();
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788 @DefaultDataContext
2789 public TimeVectorFunction getTideFrequencyDependenceFunction(final TimeScale ut1) {
2790 return getTideFrequencyDependenceFunction(ut1,
2791 DataContext.getDefault().getTimeScales());
2792 }
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804 public abstract TimeVectorFunction getTideFrequencyDependenceFunction(
2805 TimeScale ut1,
2806 TimeScales timeScales);
2807
2808
2809
2810
2811 public abstract double getPermanentTide();
2812
2813
2814
2815
2816
2817
2818 public abstract TimeVectorFunction getSolidPoleTide(EOPHistory eopHistory);
2819
2820
2821
2822
2823
2824
2825 public abstract TimeVectorFunction getOceanPoleTide(EOPHistory eopHistory);
2826
2827
2828
2829
2830
2831
2832
2833 public abstract double[] getNominalTidalDisplacement();
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847 public abstract CompiledSeries getTidalDisplacementFrequencyCorrectionDiurnal();
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867 protected static CompiledSeries getTidalDisplacementFrequencyCorrectionDiurnal(final String tableName, final int cols,
2868 final int rIp, final int rOp,
2869 final int tIp, final int tOp) {
2870
2871 try (InputStream in1 = getStream(tableName);
2872 InputStream in2 = getStream(tableName);
2873 InputStream in3 = getStream(tableName);
2874 InputStream in4 = getStream(tableName);
2875 InputStream in5 = getStream(tableName);
2876 InputStream in6 = getStream(tableName)) {
2877
2878
2879
2880
2881 final PoissonSeries drCos = new PoissonSeriesParser(cols).
2882 withOptionalColumn(1).
2883 withDoodson(4, 3).
2884 withFirstDelaunay(10).
2885 withSinCos(0, rIp, +1.0e-3, rOp, +1.0e-3).
2886 parse(in1, tableName);
2887 final PoissonSeries drSin = new PoissonSeriesParser(cols).
2888 withOptionalColumn(1).
2889 withDoodson(4, 3).
2890 withFirstDelaunay(10).
2891 withSinCos(0, rOp, -1.0e-3, rIp, +1.0e-3).
2892 parse(in2, tableName);
2893
2894
2895
2896
2897
2898 final PoissonSeries dnCos = new PoissonSeriesParser(cols).
2899 withOptionalColumn(1).
2900 withDoodson(4, 3).
2901 withFirstDelaunay(10).
2902 withSinCos(0, tIp, +1.0e-3, tOp, +1.0e-3).
2903 parse(in3, tableName);
2904 final PoissonSeries dnSin = new PoissonSeriesParser(cols).
2905 withOptionalColumn(1).
2906 withDoodson(4, 3).
2907 withFirstDelaunay(10).
2908 withSinCos(0, tOp, -1.0e-3, tIp, +1.0e-3).
2909 parse(in4, tableName);
2910
2911
2912
2913
2914
2915 final PoissonSeries deCos = new PoissonSeriesParser(cols).
2916 withOptionalColumn(1).
2917 withDoodson(4, 3).
2918 withFirstDelaunay(10).
2919 withSinCos(0, tOp, -1.0e-3, tIp, +1.0e-3).
2920 parse(in5, tableName);
2921 final PoissonSeries deSin = new PoissonSeriesParser(cols).
2922 withOptionalColumn(1).
2923 withDoodson(4, 3).
2924 withFirstDelaunay(10).
2925 withSinCos(0, tIp, -1.0e-3, tOp, -1.0e-3).
2926 parse(in6, tableName);
2927
2928 return PoissonSeries.compile(drCos, drSin,
2929 dnCos, dnSin,
2930 deCos, deSin);
2931 } catch (IOException e) {
2932 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
2933 }
2934
2935 }
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945 public abstract CompiledSeries getTidalDisplacementFrequencyCorrectionZonal();
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961 protected static CompiledSeries getTidalDisplacementFrequencyCorrectionZonal(final String tableName, final int cols,
2962 final int rIp, final int rOp,
2963 final int tIp, final int tOp) {
2964
2965 try (InputStream in1 = getStream(tableName);
2966 InputStream in2 = getStream(tableName)) {
2967
2968
2969
2970
2971 final PoissonSeries dr = new PoissonSeriesParser(cols).
2972 withOptionalColumn(1).
2973 withDoodson(4, 3).
2974 withFirstDelaunay(10).
2975 withSinCos(0, rOp, +1.0e-3, rIp, +1.0e-3).
2976 parse(in1, tableName);
2977
2978
2979
2980
2981
2982 final PoissonSeries dn = new PoissonSeriesParser(cols).
2983 withOptionalColumn(1).
2984 withDoodson(4, 3).
2985 withFirstDelaunay(10).
2986 withSinCos(0, tOp, +1.0e-3, tIp, +1.0e-3).
2987 parse(in2, tableName);
2988
2989 return PoissonSeries.compile(dr, dn);
2990 } catch (IOException e) {
2991 throw new OrekitException(OrekitMessages.INTERNAL_ERROR, e);
2992 }
2993
2994 }
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004 public interface NutationCorrectionConverter {
3005
3006
3007
3008
3009
3010
3011
3012 double[] toNonRotating(AbsoluteDate date, double ddPsi, double ddEpsilon);
3013
3014
3015
3016
3017
3018
3019
3020 double[] toEquinox(AbsoluteDate date, double dX, double dY);
3021
3022 }
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037 @DefaultDataContext
3038 public NutationCorrectionConverter getNutationCorrectionConverter() {
3039 return getNutationCorrectionConverter(DataContext.getDefault().getTimeScales());
3040 }
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052 public NutationCorrectionConverter getNutationCorrectionConverter(
3053 final TimeScales timeScales) {
3054
3055
3056 final TimeVectorFunction precessionFunction = getPrecessionFunction(timeScales);
3057 final TimeScalarFunction epsilonAFunction = getMeanObliquityFunction(timeScales);
3058 final AbsoluteDate date0 = getNutationReferenceEpoch(timeScales);
3059 final double cosE0 = FastMath.cos(epsilonAFunction.value(date0));
3060
3061 return new NutationCorrectionConverter() {
3062
3063
3064 @Override
3065 public double[] toNonRotating(final AbsoluteDate date,
3066 final double ddPsi, final double ddEpsilon) {
3067
3068 final double[] angles = precessionFunction.value(date);
3069
3070
3071 final double sinEA = FastMath.sin(epsilonAFunction.value(date));
3072 final double c = angles[0] * cosE0 - angles[2];
3073
3074
3075 return new double[] {
3076 sinEA * ddPsi + c * ddEpsilon,
3077 ddEpsilon - c * sinEA * ddPsi
3078 };
3079
3080 }
3081
3082
3083 @Override
3084 public double[] toEquinox(final AbsoluteDate date,
3085 final double dX, final double dY) {
3086
3087 final double[] angles = precessionFunction.value(date);
3088
3089
3090 final double sinEA = FastMath.sin(epsilonAFunction.value(date));
3091 final double c = angles[0] * cosE0 - angles[2];
3092 final double opC2 = 1 + c * c;
3093
3094
3095 return new double[] {
3096 (dX - c * dY) / (sinEA * opC2),
3097 (dY + c * dX) / opC2
3098 };
3099 }
3100
3101 };
3102
3103 }
3104
3105
3106
3107
3108
3109 protected LoveNumbers loadLoveNumbers(final String nameLove) {
3110 try {
3111
3112
3113 final double[][] real = new double[4][];
3114 final double[][] imaginary = new double[4][];
3115 final double[][] plus = new double[4][];
3116 for (int i = 0; i < real.length; ++i) {
3117 real[i] = new double[i + 1];
3118 imaginary[i] = new double[i + 1];
3119 plus[i] = new double[i + 1];
3120 }
3121
3122 try (InputStream stream = IERSConventions.class.getResourceAsStream(nameLove)) {
3123
3124 if (stream == null) {
3125
3126 throw new OrekitException(OrekitMessages.UNABLE_TO_FIND_FILE, nameLove);
3127 }
3128
3129 int lineNumber = 1;
3130 String line = null;
3131
3132 try (BufferedReader reader = new BufferedReader(new InputStreamReader(stream, StandardCharsets.UTF_8))) {
3133
3134 line = reader.readLine();
3135
3136
3137 while (line != null) {
3138
3139 line = line.trim();
3140 if (!(line.isEmpty() || line.startsWith("#"))) {
3141 final String[] fields = SEPARATOR.split(line);
3142 if (fields.length != 5) {
3143
3144 throw new OrekitException(OrekitMessages.UNABLE_TO_PARSE_LINE_IN_FILE,
3145 lineNumber, nameLove, line);
3146 }
3147 final int n = Integer.parseInt(fields[0]);
3148 final int m = Integer.parseInt(fields[1]);
3149 if ((n < 2) || (n > 3) || (m < 0) || (m > n)) {
3150
3151 throw new OrekitException(OrekitMessages.UNABLE_TO_PARSE_LINE_IN_FILE,
3152 lineNumber, nameLove, line);
3153
3154 }
3155 real[n][m] = Double.parseDouble(fields[2]);
3156 imaginary[n][m] = Double.parseDouble(fields[3]);
3157 plus[n][m] = Double.parseDouble(fields[4]);
3158 }
3159
3160
3161 lineNumber++;
3162 line = reader.readLine();
3163
3164 }
3165 } catch (NumberFormatException nfe) {
3166
3167 throw new OrekitException(OrekitMessages.UNABLE_TO_PARSE_LINE_IN_FILE,
3168 lineNumber, nameLove, line);
3169 }
3170 }
3171
3172 return new LoveNumbers(real, imaginary, plus);
3173
3174 } catch (IOException ioe) {
3175
3176 throw new OrekitException(OrekitMessages.NOT_A_SUPPORTED_IERS_DATA_FILE, nameLove);
3177 }
3178 }
3179
3180
3181
3182
3183
3184 private static InputStream getStream(final String name) {
3185 return IERSConventions.class.getResourceAsStream(name);
3186 }
3187
3188
3189
3190
3191
3192
3193 private static class IAU1994ResolutionC7 {
3194
3195
3196 private static final double EQE1 = 0.00264 * Constants.ARC_SECONDS_TO_RADIANS;
3197
3198
3199 private static final double EQE2 = 0.000063 * Constants.ARC_SECONDS_TO_RADIANS;
3200
3201
3202
3203
3204
3205
3206
3207 public static double value(final DelaunayArguments arguments,
3208 final TimeScale tai) {
3209
3210
3211
3212 final AbsoluteDateeDate">AbsoluteDate modelStart = new AbsoluteDate(1997, 2, 27, 0, 0, 30, tai);
3213 if (arguments.getDate().compareTo(modelStart) >= 0) {
3214
3215
3216
3217
3218
3219 final double om = arguments.getOmega();
3220
3221
3222 return EQE1 * FastMath.sin(om) + EQE2 * FastMath.sin(om + om);
3223
3224 } else {
3225 return 0.0;
3226 }
3227 }
3228
3229
3230
3231
3232
3233
3234
3235 public static <T extends RealFieldElement<T>> T value(
3236 final FieldDelaunayArguments<T> arguments,
3237 final TimeScale tai) {
3238
3239
3240
3241 final AbsoluteDateeDate">AbsoluteDate modelStart = new AbsoluteDate(1997, 2, 27, 0, 0, 30, tai);
3242 if (arguments.getDate().toAbsoluteDate().compareTo(modelStart) >= 0) {
3243
3244
3245
3246
3247
3248 final T om = arguments.getOmega();
3249
3250
3251 return om.sin().multiply(EQE1).add(om.add(om).sin().multiply(EQE2));
3252
3253 } else {
3254 return arguments.getDate().getField().getZero();
3255 }
3256 }
3257
3258 };
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275 private static class StellarAngleCapitaine implements TimeScalarFunction {
3276
3277
3278 private static final double ERA_0 = MathUtils.TWO_PI * 0.7790572732640;
3279
3280
3281
3282 private static final double ERA_1A = MathUtils.TWO_PI / Constants.JULIAN_DAY;
3283
3284
3285
3286 private static final double ERA_1B = ERA_1A * 0.00273781191135448;
3287
3288
3289 private final TimeScale ut1;
3290
3291
3292 private final AbsoluteDate referenceDate;
3293
3294
3295
3296
3297
3298 StellarAngleCapitaine(final TimeScaleimeScale">TimeScale ut1, final TimeScale tai) {
3299 this.ut1 = ut1;
3300 referenceDate = new AbsoluteDate(
3301 DateComponents.J2000_EPOCH,
3302 TimeComponents.H12,
3303 tai);
3304 }
3305
3306
3307
3308
3309 public double getRate() {
3310 return ERA_1A + ERA_1B;
3311 }
3312
3313
3314 @Override
3315 public double value(final AbsoluteDate date) {
3316
3317
3318 final int secondsInDay = 86400;
3319 final double dt = date.durationFrom(referenceDate);
3320 final long days = ((long) dt) / secondsInDay;
3321 final double dtA = secondsInDay * days;
3322 final double dtB = (dt - dtA) + ut1.offsetFromTAI(date);
3323
3324 return ERA_0 + ERA_1A * dtB + ERA_1B * (dtA + dtB);
3325
3326 }
3327
3328
3329 @Override
3330 public <T extends RealFieldElement<T>> T value(final FieldAbsoluteDate<T> date) {
3331
3332
3333 final int secondsInDay = 86400;
3334 final T dt = date.durationFrom(referenceDate);
3335 final long days = ((long) dt.getReal()) / secondsInDay;
3336 final double dtA = secondsInDay * days;
3337 final T dtB = dt.subtract(dtA).add(ut1.offsetFromTAI(date.toAbsoluteDate()));
3338
3339 return dtB.add(dtA).multiply(ERA_1B).add(dtB.multiply(ERA_1A)).add(ERA_0);
3340
3341 }
3342
3343 }
3344
3345
3346 private static class MeanPole implements TimeStamped, Serializable {
3347
3348
3349 private static final long serialVersionUID = 20131028l;
3350
3351
3352 private final AbsoluteDate date;
3353
3354
3355 private double x;
3356
3357
3358 private double y;
3359
3360
3361
3362
3363
3364
3365 MeanPole(final AbsoluteDate date, final double x, final double y) {
3366 this.date = date;
3367 this.x = x;
3368 this.y = y;
3369 }
3370
3371
3372 @Override
3373 public AbsoluteDate getDate() {
3374 return date;
3375 }
3376
3377
3378
3379
3380 public double getX() {
3381 return x;
3382 }
3383
3384
3385
3386
3387 public double getY() {
3388 return y;
3389 }
3390
3391 }
3392
3393
3394 private class PrecessionFunction implements TimeVectorFunction {
3395
3396
3397 private final PolynomialNutation psiA;
3398
3399
3400 private final PolynomialNutation omegaA;
3401
3402
3403 private final PolynomialNutation chiA;
3404
3405
3406 private final TimeScales timeScales;
3407
3408
3409
3410
3411
3412
3413
3414 PrecessionFunction(final PolynomialNutation psiA,
3415 final PolynomialNutation omegaA,
3416 final PolynomialNutation chiA,
3417 final TimeScales timeScales) {
3418 this.psiA = psiA;
3419 this.omegaA = omegaA;
3420 this.chiA = chiA;
3421 this.timeScales = timeScales;
3422 }
3423
3424
3425
3426 @Override
3427 public double[] value(final AbsoluteDate date) {
3428 final double tc = evaluateTC(date, timeScales);
3429 return new double[] {
3430 psiA.value(tc), omegaA.value(tc), chiA.value(tc)
3431 };
3432 }
3433
3434
3435 @Override
3436 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
3437 final T[] a = MathArrays.buildArray(date.getField(), 3);
3438 final T tc = evaluateTC(date, timeScales);
3439 a[0] = psiA.value(tc);
3440 a[1] = omegaA.value(tc);
3441 a[2] = chiA.value(tc);
3442 return a;
3443 }
3444
3445 }
3446
3447
3448 private static class TideFrequencyDependenceFunction implements TimeVectorFunction {
3449
3450
3451 private final FundamentalNutationArguments arguments;
3452
3453
3454 private final PoissonSeries.CompiledSeries kSeries;
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464 TideFrequencyDependenceFunction(final FundamentalNutationArguments arguments,
3465 final PoissonSeries c20Series,
3466 final PoissonSeries c21Series,
3467 final PoissonSeries s21Series,
3468 final PoissonSeries c22Series,
3469 final PoissonSeries s22Series) {
3470 this.arguments = arguments;
3471 this.kSeries = PoissonSeries.compile(c20Series, c21Series, s21Series, c22Series, s22Series);
3472 }
3473
3474
3475
3476 @Override
3477 public double[] value(final AbsoluteDate date) {
3478 return kSeries.value(arguments.evaluateAll(date));
3479 }
3480
3481
3482 @Override
3483 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
3484 return kSeries.value(arguments.evaluateAll(date));
3485 }
3486
3487 }
3488
3489
3490 private static class EOPTidalCorrection implements TimeVectorFunction {
3491
3492
3493 private final FundamentalNutationArguments arguments;
3494
3495
3496 private final PoissonSeries.CompiledSeries correctionSeries;
3497
3498
3499
3500
3501
3502
3503
3504 EOPTidalCorrection(final FundamentalNutationArguments arguments,
3505 final PoissonSeries xSeries,
3506 final PoissonSeries ySeries,
3507 final PoissonSeries ut1Series) {
3508 this.arguments = arguments;
3509 this.correctionSeries = PoissonSeries.compile(xSeries, ySeries, ut1Series);
3510 }
3511
3512
3513 @Override
3514 public double[] value(final AbsoluteDate date) {
3515 final BodiesElements elements = arguments.evaluateAll(date);
3516 final double[] correction = correctionSeries.value(elements);
3517 final double[] correctionDot = correctionSeries.derivative(elements);
3518 return new double[] {
3519 correction[0],
3520 correction[1],
3521 correction[2],
3522 correctionDot[2] * (-Constants.JULIAN_DAY)
3523 };
3524 }
3525
3526
3527 @Override
3528 public <T extends RealFieldElement<T>> T[] value(final FieldAbsoluteDate<T> date) {
3529
3530 final FieldBodiesElements<T> elements = arguments.evaluateAll(date);
3531 final T[] correction = correctionSeries.value(elements);
3532 final T[] correctionDot = correctionSeries.derivative(elements);
3533 final T[] a = MathArrays.buildArray(date.getField(), 4);
3534 a[0] = correction[0];
3535 a[1] = correction[1];
3536 a[2] = correction[2];
3537 a[3] = correctionDot[2].multiply(-Constants.JULIAN_DAY);
3538 return a;
3539 }
3540
3541 }
3542
3543 }