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OREKIT (ORbits Extrapolation KIT) is a low level space dynamics library. It provides basic elements (orbits, dates, attitude, frames ...) and various algorithms to handle them (conversions, analytical and numerical propagation, pointing ...).

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/* Copyright 2002-2024 CS GROUP
 * Licensed to CS GROUP (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.frames;

import java.io.Serializable;

import org.hipparchus.CalculusFieldElement;
import org.hipparchus.geometry.euclidean.threed.FieldRotation;
import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
import org.hipparchus.geometry.euclidean.threed.Rotation;
import org.hipparchus.geometry.euclidean.threed.Vector3D;
import org.hipparchus.util.FastMath;
import org.hipparchus.util.FieldSinCos;
import org.hipparchus.util.SinCos;
import org.orekit.errors.OrekitException;
import org.orekit.errors.OrekitInternalError;
import org.orekit.time.AbsoluteDate;
import org.orekit.time.FieldAbsoluteDate;
import org.orekit.time.TimeVectorFunction;

/** Celestial Intermediate Reference Frame.
 * 

This provider includes precession effects according to either the IAU 2006 precession * (also known as Nicole Capitaines's P03 precession theory) and IAU 2000A_R06 nutation * for IERS 2010 conventions or the IAU 2000A precession-nutation model for IERS 2003 * conventions. These models replaced the older IAU-76 precession (Lieske) and IAU-80 * theory of nutation (Wahr) which were used in the classical equinox-based paradigm. * It must be used with the Earth Rotation Angle (REA) defined by * Capitaine's model and not IAU-82 sidereal * time which is consistent with the older models only.

*

Its parent frame is the GCRF frame. */ class CIRFProvider implements EOPBasedTransformProvider { /** Serializable UID. */ private static final long serialVersionUID = 20130806L; /** Function computing CIP/CIO components. */ private final transient TimeVectorFunction xysPxy2Function; /** EOP history. */ private final EOPHistory eopHistory; /** Simple constructor. * @param eopHistory EOP history * @see Frame */ CIRFProvider(final EOPHistory eopHistory) { // load the nutation model xysPxy2Function = eopHistory.getConventions() .getXYSpXY2Function(eopHistory.getTimeScales()); // store correction to the model this.eopHistory = eopHistory; } /** {@inheritDoc} */ @Override public EOPHistory getEOPHistory() { return eopHistory; } /** {@inheritDoc} */ @Override public CIRFProvider getNonInterpolatingProvider() { return new CIRFProvider(eopHistory.getEOPHistoryWithoutCachedTidalCorrection()); } /** {@inheritDoc} */ @Override public Transform getTransform(final AbsoluteDate date) { final double[] xys = xysPxy2Function.value(date); final double[] dxdy = eopHistory.getNonRotatinOriginNutationCorrection(date); // position of the Celestial Intermediate Pole (CIP) final double xCurrent = xys[0] + dxdy[0]; final double yCurrent = xys[1] + dxdy[1]; // position of the Celestial Intermediate Origin (CIO) final double sCurrent = xys[2] - xCurrent * yCurrent / 2; // set up the bias, precession and nutation rotation final double x2Py2 = xCurrent * xCurrent + yCurrent * yCurrent; final double zP1 = 1 + FastMath.sqrt(1 - x2Py2); final double r = FastMath.sqrt(x2Py2); final double sPe2 = 0.5 * (sCurrent + FastMath.atan2(yCurrent, xCurrent)); final SinCos sc = FastMath.sinCos(sPe2); final double xPr = xCurrent + r; final double xPrCos = xPr * sc.cos(); final double xPrSin = xPr * sc.sin(); final double yCos = yCurrent * sc.cos(); final double ySin = yCurrent * sc.sin(); final Rotation bpn = new Rotation(zP1 * (xPrCos + ySin), -r * (yCos + xPrSin), r * (xPrCos - ySin), zP1 * (yCos - xPrSin), true); return new Transform(date, bpn, Vector3D.ZERO); } /** {@inheritDoc} */ @Override public > FieldTransform getTransform(final FieldAbsoluteDate date) { final T[] xys = xysPxy2Function.value(date); final T[] dxdy = eopHistory.getNonRotatinOriginNutationCorrection(date); // position of the Celestial Intermediate Pole (CIP) final T xCurrent = xys[0].add(dxdy[0]); final T yCurrent = xys[1].add(dxdy[1]); // position of the Celestial Intermediate Origin (CIO) final T sCurrent = xys[2].subtract(xCurrent.multiply(yCurrent).multiply(0.5)); // set up the bias, precession and nutation rotation final T x2Py2 = xCurrent.multiply(xCurrent).add(yCurrent.multiply(yCurrent)); final T zP1 = x2Py2.subtract(1).negate().sqrt().add(1); final T r = x2Py2.sqrt(); final T sPe2 = sCurrent.add(yCurrent.atan2(xCurrent)).multiply(0.5); final FieldSinCos sc = FastMath.sinCos(sPe2); final T xPr = xCurrent.add(r); final T xPrCos = xPr.multiply(sc.cos()); final T xPrSin = xPr.multiply(sc.sin()); final T yCos = yCurrent.multiply(sc.cos()); final T ySin = yCurrent.multiply(sc.sin()); final FieldRotation bpn = new FieldRotation<>(zP1.multiply(xPrCos.add(ySin)), r.multiply(yCos.add(xPrSin)).negate(), r.multiply(xPrCos.subtract(ySin)), zP1.multiply(yCos.subtract(xPrSin)), true); return new FieldTransform<>(date, bpn, FieldVector3D.getZero(date.getField())); } /** Replace the instance with a data transfer object for serialization. *

* This intermediate class serializes only the frame key. *

* @return data transfer object that will be serialized */ private Object writeReplace() { return new DataTransferObject(eopHistory); } /** Internal class used only for serialization. */ private static class DataTransferObject implements Serializable { /** Serializable UID. */ private static final long serialVersionUID = 20131209L; /** EOP history. */ private final EOPHistory eopHistory; /** Simple constructor. * @param eopHistory EOP history */ DataTransferObject(final EOPHistory eopHistory) { this.eopHistory = eopHistory; } /** Replace the deserialized data transfer object with a {@link CIRFProvider}. * @return replacement {@link CIRFProvider} */ private Object readResolve() { try { // retrieve a managed frame return new CIRFProvider(eopHistory); } catch (OrekitException oe) { throw new OrekitInternalError(oe); } } } }




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