/* Copyright 2002-2017 CS Systèmes d'Information
* Licensed to CS Systèmes d'Information (CS) under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* CS licenses this file to You under the Apache License, Version 2.0
* (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.orekit.bodies;
import org.hipparchus.RealFieldElement;
import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
import org.hipparchus.geometry.euclidean.threed.Vector3D;
import org.hipparchus.util.FastMath;
import org.orekit.time.AbsoluteDate;
import org.orekit.time.FieldAbsoluteDate;
import org.orekit.time.TimeScalesFactory;
import org.orekit.utils.Constants;
/** Enumerate for predefined IAU poles.
* <p>The pole models provided here come from the <a
* href="http://astropedia.astrogeology.usgs.gov/alfresco/d/d/workspace/SpacesStore/28fd9e81-1964-44d6-a58b-fbbf61e64e15/WGCCRE2009reprint.pdf">
* 2009 report</a> and the <a href="http://astropedia.astrogeology.usgs.gov/alfresco/d/d/workspace/SpacesStore/04d348b0-eb2b-46a2-abe9-6effacb37763/WGCCRE-Erratum-2011reprint.pdf">
* 2011 erratum</a> of the IAU/IAG Working Group on Cartographic Coordinates
* and Rotational Elements of the Planets and Satellites (WGCCRE). Note that these value
* differ from earliest reports (before 2005).
*</p>
* @author Luc Maisonobe
* @since 9.0
*/
enum PredefinedIAUPoles implements IAUPole {
/** IAU pole and prime meridian model for Sun. */
SUN {
/** Constant term of the prime meridian. */
private static final double W0 = 84.176;
/** Rate term of the prime meridian. */
private static final double W_DOT = 14.1844000;
/** Fixed pole. */
private final Vector3D pole = new Vector3D(FastMath.toRadians(286.13),
FastMath.toRadians(63.87));
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
return pole;
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
return new FieldVector3D<>(date.getField(), pole);
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
return FastMath.toRadians(d(date) * W_DOT + W0);
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
return toRadians(d(date).multiply(W_DOT).add(W0));
}
},
/** IAU pole and prime meridian model for Mercury. */
MERCURY {
/** Constant term of the right ascension of the pole. */
private static final double ALPHA_0 = 281.0097;
/** Rate term of the right ascension of the pole. */
private static final double ALPHA_DOT = -0.0328;
/** Constant term of the declination of the pole. */
private static final double DELTA_0 = 61.4143;
/** Rate term of the declination of the pole. */
private static final double DELTA_DOT = -0.0049;
/** Constant term of the prime meridian. */
private static final double W_0 = 329.5469;
/** Rate term of the prime meridian. */
private static final double W_DOT = 6.1385025;
/** M1 coefficient of the prime meridian. */
private static final double M1_COEFF = 0.00993822;
/** M2 coefficient of the prime meridian. */
private static final double M2_COEFF = -0.00104581;
/** M3 coefficient of the prime meridian. */
private static final double M3_COEFF = -0.00010280;
/** M4 coefficient of the prime meridian. */
private static final double M4_COEFF = -0.00002364;
/** M5 coefficient of the prime meridian. */
private static final double M5_COEFF = -0.00000532;
/** Constant term of the M1 angle. */
private static final double M1_0 = 174.791086;
/** Rate term of the M1 angle. */
private static final double M1_DOT = 4.092335;
/** Constant term of the M2 angle. */
private static final double M2_0 = 349.582171;
/** Rate term of the M1 angle. */
private static final double M2_DOT = 8.184670;
/** Constant term of the M3 angle. */
private static final double M3_0 = 164.373257;
/** Rate term of the M1 angle. */
private static final double M3_DOT = 12.277005;
/** Constant term of the M4 angle. */
private static final double M4_0 = 339.164343;
/** Rate term of the M1 angle. */
private static final double M4_DOT = 16.369340;
/** Constant term of the M5 angle. */
private static final double M5_0 = 153.955429;
/** Rate term of the M1 angle. */
private static final double M5_DOT = 20.461675;
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
final double t = t(date);
return new Vector3D(FastMath.toRadians(t * ALPHA_DOT + ALPHA_0),
FastMath.toRadians(t * DELTA_DOT + DELTA_0));
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
final T t = t(date);
return new FieldVector3D<>(toRadians(t.multiply(ALPHA_DOT).add(ALPHA_0)),
toRadians(t.multiply(DELTA_DOT).add(DELTA_0)));
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
final double d = d(date);
return FastMath.toRadians(d(date) * W_DOT + W_0 +
FastMath.sin(FastMath.toRadians(d * M1_DOT + M1_0)) * M1_COEFF +
FastMath.sin(FastMath.toRadians(d * M2_DOT + M2_0)) * M2_COEFF +
FastMath.sin(FastMath.toRadians(d * M3_DOT + M3_0)) * M3_COEFF +
FastMath.sin(FastMath.toRadians(d * M4_DOT + M4_0)) * M4_COEFF +
FastMath.sin(FastMath.toRadians(d * M5_DOT + M5_0)) * M5_COEFF);
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
final T d = d(date);
return toRadians(d(date).multiply(W_DOT).add(W_0).
add(toRadians(d.multiply(M1_DOT).add(M1_0)).sin().multiply(M1_COEFF)).
add(toRadians(d.multiply(M2_DOT).add(M2_0)).sin().multiply(M2_COEFF)).
add(toRadians(d.multiply(M3_DOT).add(M3_0)).sin().multiply(M3_COEFF)).
add(toRadians(d.multiply(M4_DOT).add(M4_0)).sin().multiply(M4_COEFF)).
add(toRadians(d.multiply(M5_DOT).add(M5_0)).sin().multiply(M5_COEFF)));
}
},
/** IAU pole and prime meridian model for Venus. */
VENUS {
/** Constant term of the prime meridian. */
private static final double W_0 = 160.20;
/** Rate term of the prime meridian. */
private static final double W_DOT = -1.4813688;
/** Fixed pole. */
private final Vector3D pole = new Vector3D(FastMath.toRadians(272.76),
FastMath.toRadians(67.16));
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
return pole;
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
return new FieldVector3D<>(date.getField(), pole);
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
return FastMath.toRadians(d(date) * W_DOT + W_0);
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
return toRadians(d(date).multiply(W_DOT).add(W_0));
}
},
/** IAU pole and prime meridian model for Earth. */
EARTH {
/** Constant term of the right ascension of the pole. */
private static final double ALPHA_0 = 0.00;
/** Rate term of the right ascension of the pole. */
private static final double ALPHA_DOT = -0.641;
/** Constant term of the declination of the pole. */
private static final double DELTA_0 = 90.00;
/** Rate term of the declination of the pole. */
private static final double DELTA_DOT = -0.557;
/** Constant term of the prime meridian. */
private static final double W_0 = 190.147;
/** Rate term of the prime meridian. */
private static final double W_DOT = 360.9856235;
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
final double t = t(date);
return new Vector3D(FastMath.toRadians(t * ALPHA_DOT + ALPHA_0),
FastMath.toRadians(t * DELTA_DOT + DELTA_0));
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
final T t = t(date);
return new FieldVector3D<>(toRadians(t.multiply(ALPHA_DOT).add(ALPHA_0)),
toRadians(t.multiply(DELTA_DOT).add(DELTA_0)));
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
return FastMath.toRadians(d(date) * W_DOT + W_0);
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
return toRadians(d(date).multiply(W_DOT).add(W_0));
}
},
/** IAU pole and prime meridian model for the Moon. */
MOON {
/** Constant term of the right ascension of the pole. */
private static final double ALPHA_0 = 269.9949;
/** Rate term of the right ascension of the pole. */
private static final double ALPHA_DOT = 0.0031;
/** Constant term of the declination of the pole. */
private static final double DELTA_0 = 66.5392;
/** Rate term of the declination of the pole. */
private static final double DELTA_DOT = 0.0130;
/** Constant term of the prime meridian. */
private static final double W_0 = 38.3213;
/** Rate term of the prime meridian. */
private static final double W_DOT = 13.17635815;
/** Rate term of the prime meridian. */
private static final double W_DOT_DOT = -1.4e-12;
/** Constant term of the E1 angle. */
private static final double E01_0 = 125.045;
/** Rate term of the E1 angle. */
private static final double E01_DOT = -0.0529921;
/** Sine coefficient of the E1 angle. */
private static final double E01_SIN = -3.8787;
/** Cosine coefficient of the E1 angle. */
private static final double E01_COS = 1.5419;
/** Sine coefficient of the E1 angle, for the prime meridian. */
private static final double E01_W_SIN = 3.5610;
/** Constant term of the E2 angle. */
private static final double E02_0 = 250.089;
/** Rate term of the E2 angle. */
private static final double E02_DOT = -0.1059842;
/** Sine coefficient of the E2 angle. */
private static final double E02_SIN = -0.1204;
/** Cosine coefficient of the E2 angle. */
private static final double E02_COS = 0.0239;
/** Sine coefficient of the E2 angle, for the prime meridian. */
private static final double E02_W_SIN = 0.1208;
/** Constant term of the E3 angle. */
private static final double E03_0 = 260.008;
/** Rate term of the E3 angle. */
private static final double E03_DOT = 13.0120009;
/** Sine coefficient of the E3 angle. */
private static final double E03_SIN = 0.0700;
/** Cosine coefficient of the E3 angle. */
private static final double E03_COS = -0.0278;
/** Sine coefficient of the E3 angle, for the prime meridian. */
private static final double E03_W_SIN = -0.0642;
/** Constant term of the E4 angle. */
private static final double E04_0 = 176.625;
/** Rate term of the E4 angle. */
private static final double E04_DOT = 13.3407154;
/** Sine coefficient of the E4 angle. */
private static final double E04_SIN = -0.0172;
/** Cosine coefficient of the E4 angle. */
private static final double E04_COS = 0.0068;
/** Sine coefficient of the E4 angle, for the prime meridian. */
private static final double E04_W_SIN = 0.0158;
/** Constant term of the E5 angle. */
private static final double E05_0 = 357.529;
/** Rate term of the E5 angle. */
private static final double E05_DOT = 0.9856003;
/** Sine coefficient of the E5 angle, for the prime meridian. */
private static final double E05_W_SIN = 0.0252;
/** Constant term of the E6 angle. */
private static final double E06_0 = 311.589;
/** Rate term of the E6 angle. */
private static final double E06_DOT = 26.4057084;
/** Sine coefficient of the E6 angle. */
private static final double E06_SIN = 0.0072;
/** Cosine coefficient of the E6 angle. */
private static final double E06_COS = -0.0029;
/** Sine coefficient of the E6 angle, for the prime meridian. */
private static final double E06_W_SIN = -0.0066;
/** Constant term of the E7 angle. */
private static final double E07_0 = 134.963;
/** Rate term of the E7 angle. */
private static final double E07_DOT = 13.0649930;
/** Cosine coefficient of the E7 angle. */
private static final double E07_COS = 0.0009;
/** Sine coefficient of the E7 angle, for the prime meridian. */
private static final double E07_W_SIN = -0.0047;
/** Constant term of the E8 angle. */
private static final double E08_0 = 276.617;
/** Rate term of the E8 angle. */
private static final double E08_DOT = 0.3287146;
/** Sine coefficient of the E8 angle, for the prime meridian. */
private static final double E08_W_SIN = -0.0046;
/** Constant term of the E9 angle. */
private static final double E09_0 = 34.226;
/** Rate term of the E9 angle. */
private static final double E09_DOT = 1.7484877;
/** Sine coefficient of the E9 angle, for the prime meridian. */
private static final double E09_W_SIN = 0.0028;
/** Constant term of the E10 angle. */
private static final double E10_0 = 15.134;
/** Rate term of the E10 angle. */
private static final double E10_DOT = -0.1589763;
/** Sine coefficient of the E10 angle. */
private static final double E10_SIN = -0.0052;
/** Cosine coefficient of the E10 angle. */
private static final double E10_COS = 0.0008;
/** Sine coefficient of the E10 angle, for the prime meridian. */
private static final double E10_W_SIN = 0.0052;
/** Constant term of the E11 angle. */
private static final double E11_0 = 119.743;
/** Rate term of the E11 angle. */
private static final double E11_DOT = 0.0036096;
/** Sine coefficient of the E11 angle, for the prime meridian. */
private static final double E11_W_SIN = 0.0040;
/** Constant term of the E12 angle. */
private static final double E12_0 = 239.961;
/** Rate term of the E12 angle. */
private static final double E12_DOT = 0.1643573;
/** Sine coefficient of the E12 angle, for the prime meridian. */
private static final double E12_W_SIN = 0.0019;
/** Constant term of the E13 angle. */
private static final double E13_0 = 25.053;
/** Rate term of the E13 angle. */
private static final double E13_DOT = 12.9590088;
/** Sine coefficient of the E13 angle. */
private static final double E13_SIN = 0.0043;
/** Cosine coefficient of the E13 angle. */
private static final double E13_COS = -0.0009;
/** Sine coefficient of the E13 angle, for the prime meridian. */
private static final double E13_W_SIN = -0.0044;
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
final double d = d(date);
final double t = t(date);
return new Vector3D(FastMath.toRadians(t * ALPHA_DOT + ALPHA_0 +
FastMath.sin(FastMath.toRadians(d * E01_DOT + E01_0)) * E01_SIN +
FastMath.sin(FastMath.toRadians(d * E02_DOT + E02_0)) * E02_SIN +
FastMath.sin(FastMath.toRadians(d * E03_DOT + E03_0)) * E03_SIN +
FastMath.sin(FastMath.toRadians(d * E04_DOT + E04_0)) * E04_SIN +
FastMath.sin(FastMath.toRadians(d * E06_DOT + E06_0)) * E06_SIN +
FastMath.sin(FastMath.toRadians(d * E10_DOT + E10_0)) * E10_SIN +
FastMath.sin(FastMath.toRadians(d * E13_DOT + E13_0)) * E13_SIN),
FastMath.toRadians(t * DELTA_DOT + DELTA_0 +
FastMath.cos(FastMath.toRadians(d * E01_DOT + E01_0)) * E01_COS +
FastMath.cos(FastMath.toRadians(d * E02_DOT + E02_0)) * E02_COS +
FastMath.cos(FastMath.toRadians(d * E03_DOT + E03_0)) * E03_COS +
FastMath.cos(FastMath.toRadians(d * E04_DOT + E04_0)) * E04_COS +
FastMath.cos(FastMath.toRadians(d * E06_DOT + E06_0)) * E06_COS +
FastMath.cos(FastMath.toRadians(d * E07_DOT + E07_0)) * E07_COS +
FastMath.cos(FastMath.toRadians(d * E10_DOT + E10_0)) * E10_COS +
FastMath.cos(FastMath.toRadians(d * E13_DOT + E13_0)) * E13_COS));
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
final T d = d(date);
final T t = t(date);
return new FieldVector3D<>(toRadians(t.multiply(ALPHA_DOT).add(ALPHA_0).
add(toRadians(d.multiply(E01_DOT).add(E01_0)).sin().multiply(E01_SIN)).
add(toRadians(d.multiply(E02_DOT).add(E02_0)).sin().multiply(E02_SIN)).
add(toRadians(d.multiply(E03_DOT).add(E03_0)).sin().multiply(E03_SIN)).
add(toRadians(d.multiply(E04_DOT).add(E04_0)).sin().multiply(E04_SIN)).
add(toRadians(d.multiply(E06_DOT).add(E06_0)).sin().multiply(E06_SIN)).
add(toRadians(d.multiply(E10_DOT).add(E10_0)).sin().multiply(E10_SIN)).
add(toRadians(d.multiply(E13_DOT).add(E13_0)).sin().multiply(E13_SIN))),
toRadians(t.multiply(DELTA_DOT).add(DELTA_0).
add(toRadians(d.multiply(E01_DOT).add(E01_0)).cos().multiply(E01_COS)).
add(toRadians(d.multiply(E02_DOT).add(E02_0)).cos().multiply(E02_COS)).
add(toRadians(d.multiply(E03_DOT).add(E03_0)).cos().multiply(E03_COS)).
add(toRadians(d.multiply(E04_DOT).add(E04_0)).cos().multiply(E04_COS)).
add(toRadians(d.multiply(E06_DOT).add(E06_0)).cos().multiply(E06_COS)).
add(toRadians(d.multiply(E07_DOT).add(E07_0)).cos().multiply(E07_COS)).
add(toRadians(d.multiply(E10_DOT).add(E10_0)).cos().multiply(E10_COS)).
add(toRadians(d.multiply(E13_DOT).add(E13_0)).cos().multiply(E13_COS))));
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
final double d = d(date);
return FastMath.toRadians(d * (d * W_DOT_DOT + W_DOT) + W_0 +
FastMath.sin(FastMath.toRadians(d * E01_DOT + E01_0)) * E01_W_SIN +
FastMath.sin(FastMath.toRadians(d * E02_DOT + E02_0)) * E02_W_SIN +
FastMath.sin(FastMath.toRadians(d * E03_DOT + E03_0)) * E03_W_SIN +
FastMath.sin(FastMath.toRadians(d * E04_DOT + E04_0)) * E04_W_SIN +
FastMath.sin(FastMath.toRadians(d * E05_DOT + E05_0)) * E05_W_SIN +
FastMath.sin(FastMath.toRadians(d * E06_DOT + E06_0)) * E06_W_SIN +
FastMath.sin(FastMath.toRadians(d * E07_DOT + E07_0)) * E07_W_SIN +
FastMath.sin(FastMath.toRadians(d * E08_DOT + E08_0)) * E08_W_SIN +
FastMath.sin(FastMath.toRadians(d * E09_DOT + E09_0)) * E09_W_SIN +
FastMath.sin(FastMath.toRadians(d * E10_DOT + E10_0)) * E10_W_SIN +
FastMath.sin(FastMath.toRadians(d * E11_DOT + E11_0)) * E11_W_SIN +
FastMath.sin(FastMath.toRadians(d * E12_DOT + E12_0)) * E12_W_SIN +
FastMath.sin(FastMath.toRadians(d * E13_DOT + E13_0)) * E13_W_SIN);
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
final T d = d(date);
return toRadians(d.multiply(d.multiply(W_DOT_DOT).add(W_DOT)).add(W_0).
add(toRadians(d.multiply(E01_DOT).add(E01_0)).sin().multiply(E01_W_SIN)).
add(toRadians(d.multiply(E02_DOT).add(E02_0)).sin().multiply(E02_W_SIN)).
add(toRadians(d.multiply(E03_DOT).add(E03_0)).sin().multiply(E03_W_SIN)).
add(toRadians(d.multiply(E04_DOT).add(E04_0)).sin().multiply(E04_W_SIN)).
add(toRadians(d.multiply(E05_DOT).add(E05_0)).sin().multiply(E05_W_SIN)).
add(toRadians(d.multiply(E06_DOT).add(E06_0)).sin().multiply(E06_W_SIN)).
add(toRadians(d.multiply(E07_DOT).add(E07_0)).sin().multiply(E07_W_SIN)).
add(toRadians(d.multiply(E08_DOT).add(E08_0)).sin().multiply(E08_W_SIN)).
add(toRadians(d.multiply(E09_DOT).add(E09_0)).sin().multiply(E09_W_SIN)).
add(toRadians(d.multiply(E10_DOT).add(E10_0)).sin().multiply(E10_W_SIN)).
add(toRadians(d.multiply(E11_DOT).add(E11_0)).sin().multiply(E11_W_SIN)).
add(toRadians(d.multiply(E12_DOT).add(E12_0)).sin().multiply(E12_W_SIN)).
add(toRadians(d.multiply(E13_DOT).add(E13_0)).sin().multiply(E13_W_SIN)));
}
},
/** IAU pole and prime meridian model for Mars. */
MARS {
/** Constant term of the right ascension of the pole. */
private static final double ALPHA_0 = 317.68143;
/** Rate term of the right ascension of the pole. */
private static final double ALPHA_DOT = -0.1061;
/** Constant term of the declination of the pole. */
private static final double DELTA_0 = 52.88650;
/** Rate term of the declination of the pole. */
private static final double DELTA_DOT = -0.0609;
/** Constant term of the prime meridian. */
private static final double W_0 = 176.630;
/** Rate term of the prime meridian. */
private static final double W_DOT = 350.89198226;
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
final double t = t(date);
return new Vector3D(FastMath.toRadians(t * ALPHA_DOT + ALPHA_0),
FastMath.toRadians(t * DELTA_DOT + DELTA_0));
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
final T t = t(date);
return new FieldVector3D<>(toRadians(t.multiply(ALPHA_DOT).add(ALPHA_0)),
toRadians(t.multiply(DELTA_DOT).add(DELTA_0)));
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
return FastMath.toRadians(d(date) * W_DOT + W_0);
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
return toRadians(d(date).multiply(W_DOT).add(W_0));
}
},
/** IAU pole and prime meridian model for Jupiter. */
JUPITER {
/** Constant term of the right ascension of the pole. */
private static final double ALPHA_0 = 268.056595;
/** Rate term of the right ascension of the pole. */
private static final double ALPHA_DOT = -0.006499;
/** Constant term of the declination of the pole. */
private static final double DELTA_0 = 64.495303;
/** Rate term of the declination of the pole. */
private static final double DELTA_DOT = 0.002413;
/** Constant term of the ja angle. */
private static final double JA_0 = 99.360714;
/** Rate term of the ja angle. */
private static final double JA_DOT = 4850.4046;
/** Sine coefficient of the ja angle. */
private static final double JA_SIN = 0.000117;
/** Cosine coefficient of the ja angle. */
private static final double JA_COS = 0.000050;
/** Constant term of the jb angle. */
private static final double JB_0 = 175.895369;
/** Rate term of the jb angle. */
private static final double JB_DOT = 1191.9605;
/** Sine coefficient of the jb angle. */
private static final double JB_SIN = 0.000938;
/** Cosine coefficient of the jb angle. */
private static final double JB_COS = 0.000404;
/** Constant term of the jc angle. */
private static final double JC_0 = 300.323162;
/** Rate term of the jc angle. */
private static final double JC_DOT = 262.5475;
/** Sine coefficient of the jc angle. */
private static final double JC_SIN = 0.001432;
/** Cosine coefficient of the jc angle. */
private static final double JC_COS = 0.000617;
/** Constant term of the jd angle. */
private static final double JD_0 = 114.012305;
/** Rate term of the jd angle. */
private static final double JD_DOT = 6070.2476;
/** Sine coefficient of the jd angle. */
private static final double JD_SIN = 0.000030;
/** Cosine coefficient of the jd angle. */
private static final double JD_COS = -0.000013;
/** Constant term of the je angle. */
private static final double JE_0 = 49.511251;
/** Rate term of the je angle. */
private static final double JE_DOT = 64.3000;
/** Sine coefficient of the je angle. */
private static final double JE_SIN = 0.002150;
/** Cosine coefficient of the je angle. */
private static final double JE_COS = 0.000926;
/** Constant term of the prime meridian. */
private static final double W_0 = 284.95;
/** Rate term of the prime meridian. */
private static final double W_DOT = 870.5360000;
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
final double t = t(date);
final double ja = FastMath.toRadians(t * JA_DOT + JA_0);
final double jb = FastMath.toRadians(t * JB_DOT + JB_0);
final double jc = FastMath.toRadians(t * JC_DOT + JC_0);
final double jd = FastMath.toRadians(t * JD_DOT + JD_0);
final double je = FastMath.toRadians(t * JE_DOT + JE_0);
return new Vector3D(FastMath.toRadians(t * ALPHA_DOT + ALPHA_0 +
FastMath.sin(ja) * JA_SIN +
FastMath.sin(jb) * JB_SIN +
FastMath.sin(jc) * JC_SIN +
FastMath.sin(jd) * JD_SIN +
FastMath.sin(je) * JE_SIN),
FastMath.toRadians(t * DELTA_DOT + DELTA_0 +
FastMath.cos(ja) * JA_COS +
FastMath.cos(jb) * JB_COS +
FastMath.cos(jc) * JC_COS +
FastMath.cos(jd) * JD_COS +
FastMath.cos(je) * JE_COS));
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
final T t = t(date);
final T ja = toRadians(t.multiply(JA_DOT).add(JA_0));
final T jb = toRadians(t.multiply(JB_DOT).add(JB_0));
final T jc = toRadians(t.multiply(JC_DOT).add(JC_0));
final T jd = toRadians(t.multiply(JD_DOT).add(JD_0));
final T je = toRadians(t.multiply(JE_DOT).add(JE_0));
return new FieldVector3D<>(toRadians(t.multiply(ALPHA_DOT).add(ALPHA_0).
add(ja.sin().multiply(JA_SIN)).
add(jb.sin().multiply(JB_SIN)).
add(jc.sin().multiply(JC_SIN)).
add(jd.sin().multiply(JD_SIN)).
add(je.sin().multiply(JE_SIN))),
toRadians(t.multiply(DELTA_DOT).add(DELTA_0).
add(ja.cos().multiply(JA_COS)).
add(jb.cos().multiply(JB_COS)).
add(jc.cos().multiply(JC_COS)).
add(jd.cos().multiply(JD_COS)).
add(je.cos().multiply(JE_COS))));
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
return FastMath.toRadians(d(date) * W_DOT + W_0);
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
return toRadians(d(date).multiply(W_DOT).add(W_0));
}
},
/** IAU pole and prime meridian model for Saturn. */
SATURN {
/** Constant term of the right ascension of the pole. */
private static final double ALPHA_0 = 40.589;
/** Rate term of the right ascension of the pole. */
private static final double ALPHA_DOT = -0.036;
/** Constant term of the declination of the pole. */
private static final double DELTA_0 = 83.537;
/** Rate term of the declination of the pole. */
private static final double DELTA_DOT = -0.004;
/** Constant term of the prime meridian. */
private static final double W_0 = 38.90;
/** Rate term of the prime meridian. */
private static final double W_DOT = 810.7939024;
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
final double t = t(date);
return new Vector3D(FastMath.toRadians(t * ALPHA_DOT + ALPHA_0),
FastMath.toRadians(t * DELTA_DOT + DELTA_0));
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
final T t = t(date);
return new FieldVector3D<>(toRadians(t.multiply(ALPHA_DOT).add(ALPHA_0)),
toRadians(t.multiply(DELTA_DOT).add(DELTA_0)));
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
return FastMath.toRadians(d(date) * W_DOT + W_0);
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
return toRadians(d(date).multiply(W_DOT).add(W_0));
}
},
/** IAU pole and prime meridian model for Uranus. */
URANUS {
/** Constant term of the prime meridian. */
private static final double W_0 = 203.81;
/** Rate term of the prime meridian. */
private static final double W_DOT = -501.1600928;
/** Fixed pole. */
private final Vector3D pole = new Vector3D(FastMath.toRadians(257.311),
FastMath.toRadians(-15.175));
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
return pole;
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
return new FieldVector3D<>(date.getField(), pole);
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
return FastMath.toRadians(d(date) * W_DOT + W_0);
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
return toRadians(d(date).multiply(W_DOT).add(W_0));
}
},
/** IAU pole and prime meridian model for Neptune. */
NEPTUNE {
/** Constant term of the right ascension of the pole. */
private static final double ALPHA_0 = 299.36;
/** Sine term of the right ascension of the pole. */
private static final double ALPHA_SIN = 0.70;
/** Constant term of the declination of the pole. */
private static final double DELTA_0 = 43.46;
/** Cosine term of the declination of the pole. */
private static final double DELTA_COS = -0.51;
/** Constant term of the prime meridian. */
private static final double W_0 = 253.18;
/** Rate term of the prime meridian. */
private static final double W_DOT = 536.3128492;
/** Sine term of the prime meridian. */
private static final double W_SIN = -0.48;
/** Constant term of the N angle. */
private static final double N_0 = 357.85;
/** Rate term of the M1 angle. */
private static final double N_DOT = 52.316;
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
final double n = FastMath.toRadians(t(date) * N_DOT + N_0);
return new Vector3D(FastMath.toRadians(FastMath.sin(n) * ALPHA_SIN + ALPHA_0),
FastMath.toRadians(FastMath.cos(n) * DELTA_COS + DELTA_0));
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
final T n = toRadians(t(date).multiply(N_DOT).add(N_0));
return new FieldVector3D<>(toRadians(n.sin().multiply(ALPHA_SIN).add(ALPHA_0)),
toRadians(n.cos().multiply(DELTA_COS).add(DELTA_0)));
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
final double n = FastMath.toRadians(t(date) * N_DOT + N_0);
return FastMath.toRadians(d(date) * W_DOT + FastMath.sin(n) * W_SIN + W_0);
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
final T n = toRadians(t(date).multiply(N_DOT).add(N_0));
return toRadians(d(date).multiply(W_DOT).add(n.sin().multiply(W_SIN)).add(W_0));
}
},
/** IAU pole and prime meridian model for Pluto. */
PLUTO {
/** Constant term of the prime meridian. */
private static final double W_0 = 302.695;
/** Rate term of the prime meridian. */
private static final double W_DOT = 56.3625225;
/** Fixed pole. */
private final Vector3D pole = new Vector3D(FastMath.toRadians(132.993),
FastMath.toRadians(-6.163));
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
return pole;
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
return new FieldVector3D<>(date.getField(), pole);
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
return FastMath.toRadians(d(date) * W_DOT + W_0);
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
return toRadians(d(date).multiply(W_DOT).add(W_0));
}
},
/** Default IAUPole implementation for barycenters.
* <p>
* This implementation defines directions such that the inertially oriented and body
* oriented frames are identical and aligned with GCRF. It is used for example
* to define the ICRF.
* </p>
*/
GCRF_ALIGNED {
/** {@inheritDoc} */
public Vector3D getPole(final AbsoluteDate date) {
return Vector3D.PLUS_K;
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> FieldVector3D<T> getPole(final FieldAbsoluteDate<T> date) {
return FieldVector3D.getPlusK(date.getField());
}
/** {@inheritDoc} */
public double getPrimeMeridianAngle(final AbsoluteDate date) {
return 0;
}
/** {@inheritDoc} */
public <T extends RealFieldElement<T>> T getPrimeMeridianAngle(final FieldAbsoluteDate<T> date) {
return date.getField().getZero();
}
};
/** Get a predefined IAU pole.
* @param body body identifier
* @return predefined IAU pole
*/
public static PredefinedIAUPoles getIAUPole(final JPLEphemeridesLoader.EphemerisType body) {
switch(body) {
case SUN :
return SUN;
case MERCURY :
return MERCURY;
case VENUS :
return VENUS;
case EARTH :
return EARTH;
case MOON :
return MOON;
case MARS :
return MARS;
case JUPITER :
return JUPITER;
case SATURN :
return SATURN;
case URANUS :
return URANUS;
case NEPTUNE :
return NEPTUNE;
case PLUTO :
return PLUTO;
default :
return GCRF_ALIGNED;
}
}
/** Compute the interval in julian centuries from standard epoch.
* @param date date
* @return interval between date and standard epoch in julian centuries
*/
private static double t(final AbsoluteDate date) {
return date.offsetFrom(AbsoluteDate.J2000_EPOCH, TimeScalesFactory.getTDB()) / Constants.JULIAN_CENTURY;
}
/** Compute the interval in julian centuries from standard epoch.
* @param date date
* @param <T> type of the filed elements
* @return interval between date and standard epoch in julian centuries
*/
private static <T extends RealFieldElement<T>> T t(final FieldAbsoluteDate<T> date) {
return date.offsetFrom(FieldAbsoluteDate.getJ2000Epoch(date.getField()), TimeScalesFactory.getTDB()).divide(Constants.JULIAN_CENTURY);
}
/** Compute the interval in julian days from standard epoch.
* @param date date
* @return interval between date and standard epoch in julian days
*/
private static double d(final AbsoluteDate date) {
return date.offsetFrom(AbsoluteDate.J2000_EPOCH, TimeScalesFactory.getTDB()) / Constants.JULIAN_DAY;
}
/** Compute the interval in julian days from standard epoch.
* @param date date
* @param <T> type of the filed elements
* @return interval between date and standard epoch in julian days
*/
private static <T extends RealFieldElement<T>> T d(final FieldAbsoluteDate<T> date) {
return date.offsetFrom(FieldAbsoluteDate.getJ2000Epoch(date.getField()), TimeScalesFactory.getTDB()).divide(Constants.JULIAN_DAY);
}
/** Convert an angle to radians.
* @param angleInDegrees angle in degrees
* @param <T> type of the filed elements
* @return angle in radians
*/
private static <T extends RealFieldElement<T>> T toRadians(final T angleInDegrees) {
return angleInDegrees.multiply(FastMath.PI / 180);
}
}