AngularAzEl.java
/* Copyright 2002-2019 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.estimation.measurements;
import java.util.Arrays;
import java.util.HashMap;
import java.util.Map;
import org.hipparchus.Field;
import org.hipparchus.analysis.differentiation.DSFactory;
import org.hipparchus.analysis.differentiation.DerivativeStructure;
import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
import org.hipparchus.util.MathUtils;
import org.orekit.frames.FieldTransform;
import org.orekit.propagation.SpacecraftState;
import org.orekit.time.AbsoluteDate;
import org.orekit.time.FieldAbsoluteDate;
import org.orekit.utils.ParameterDriver;
import org.orekit.utils.TimeStampedFieldPVCoordinates;
import org.orekit.utils.TimeStampedPVCoordinates;
/** Class modeling an Azimuth-Elevation measurement from a ground station.
* The motion of the spacecraft during the signal flight time is taken into
* account. The date of the measurement corresponds to the reception on
* ground of the reflected signal.
*
* @author Thierry Ceolin
* @since 8.0
*/
public class AngularAzEl extends AbstractMeasurement<AngularAzEl> {
/** Ground station from which measurement is performed. */
private final GroundStation station;
/** Simple constructor.
* <p>
* This constructor uses 0 as the index of the propagator related
* to this measurement, thus being well suited for mono-satellite
* orbit determination.
* </p>
* @param station ground station from which measurement is performed
* @param date date of the measurement
* @param angular observed value
* @param sigma theoretical standard deviation
* @param baseWeight base weight
* @deprecated since 9.3, replaced by {@link #AngularAzEl(GroundStation, AbsoluteDate,
* double[], double[], double[], ObservableSatellite)}
*/
@Deprecated
public AngularAzEl(final GroundStation station, final AbsoluteDate date,
final double[] angular, final double[] sigma, final double[] baseWeight) {
this(station, date, angular, sigma, baseWeight, new ObservableSatellite(0));
}
/** Simple constructor.
* @param station ground station from which measurement is performed
* @param date date of the measurement
* @param angular observed value
* @param sigma theoretical standard deviation
* @param baseWeight base weight
* @param propagatorIndex index of the propagator related to this measurement
* @since 9.0
* @deprecated since 9.3, replaced by {@link #AngularAzEl(GroundStation, AbsoluteDate,
* double[], double[], double[], ObservableSatellite)}
*/
@Deprecated
public AngularAzEl(final GroundStation station, final AbsoluteDate date,
final double[] angular, final double[] sigma, final double[] baseWeight,
final int propagatorIndex) {
this(station, date, angular, sigma, baseWeight, new ObservableSatellite(propagatorIndex));
}
/** Simple constructor.
* @param station ground station from which measurement is performed
* @param date date of the measurement
* @param angular observed value
* @param sigma theoretical standard deviation
* @param baseWeight base weight
* @param satellite satellite related to this measurement
* @since 9.3
*/
public AngularAzEl(final GroundStation station, final AbsoluteDate date,
final double[] angular, final double[] sigma, final double[] baseWeight,
final ObservableSatellite satellite) {
super(date, angular, sigma, baseWeight, Arrays.asList(satellite));
addParameterDriver(station.getClockOffsetDriver());
addParameterDriver(station.getEastOffsetDriver());
addParameterDriver(station.getNorthOffsetDriver());
addParameterDriver(station.getZenithOffsetDriver());
addParameterDriver(station.getPrimeMeridianOffsetDriver());
addParameterDriver(station.getPrimeMeridianDriftDriver());
addParameterDriver(station.getPolarOffsetXDriver());
addParameterDriver(station.getPolarDriftXDriver());
addParameterDriver(station.getPolarOffsetYDriver());
addParameterDriver(station.getPolarDriftYDriver());
this.station = station;
}
/** Get the ground station from which measurement is performed.
* @return ground station from which measurement is performed
*/
public GroundStation getStation() {
return station;
}
/** {@inheritDoc} */
@Override
protected EstimatedMeasurement<AngularAzEl> theoreticalEvaluation(final int iteration, final int evaluation,
final SpacecraftState[] states) {
final ObservableSatellite satellite = getSatellites().get(0);
final SpacecraftState state = states[satellite.getPropagatorIndex()];
// Azimuth/elevation derivatives are computed with respect to spacecraft state in inertial frame
// and station parameters
// ----------------------
//
// Parameters:
// - 0..2 - Position of the spacecraft in inertial frame
// - 3..5 - Velocity of the spacecraft in inertial frame
// - 6..n - station parameters (clock offset, station offsets, pole, prime meridian...)
// Get the number of parameters used for derivation
// Place the selected drivers into a map
int nbParams = 6;
final Map<String, Integer> indices = new HashMap<>();
for (ParameterDriver driver : getParametersDrivers()) {
if (driver.isSelected()) {
indices.put(driver.getName(), nbParams++);
}
}
final DSFactory factory = new DSFactory(nbParams, 1);
final Field<DerivativeStructure> field = factory.getDerivativeField();
final FieldVector3D<DerivativeStructure> zero = FieldVector3D.getZero(field);
// Coordinates of the spacecraft expressed as a derivative structure
final TimeStampedFieldPVCoordinates<DerivativeStructure> pvaDS = getCoordinates(state, 0, factory);
// Transform between station and inertial frame, expressed as a derivative structure
// The components of station's position in offset frame are the 3 last derivative parameters
final FieldTransform<DerivativeStructure> offsetToInertialDownlink =
station.getOffsetToInertial(state.getFrame(), getDate(), factory, indices);
final FieldAbsoluteDate<DerivativeStructure> downlinkDateDS =
offsetToInertialDownlink.getFieldDate();
// Station position/velocity in inertial frame at end of the downlink leg
final TimeStampedFieldPVCoordinates<DerivativeStructure> stationDownlink =
offsetToInertialDownlink.transformPVCoordinates(new TimeStampedFieldPVCoordinates<>(downlinkDateDS,
zero, zero, zero));
// Station topocentric frame (east-north-zenith) in inertial frame expressed as DerivativeStructures
final FieldVector3D<DerivativeStructure> east = offsetToInertialDownlink.transformVector(FieldVector3D.getPlusI(field));
final FieldVector3D<DerivativeStructure> north = offsetToInertialDownlink.transformVector(FieldVector3D.getPlusJ(field));
final FieldVector3D<DerivativeStructure> zenith = offsetToInertialDownlink.transformVector(FieldVector3D.getPlusK(field));
// Compute propagation times
// (if state has already been set up to pre-compensate propagation delay,
// we will have delta == tauD and transitState will be the same as state)
// Downlink delay
final DerivativeStructure tauD = signalTimeOfFlight(pvaDS, stationDownlink.getPosition(), downlinkDateDS);
// Transit state
final DerivativeStructure delta = downlinkDateDS.durationFrom(state.getDate());
final DerivativeStructure deltaMTauD = tauD.negate().add(delta);
final SpacecraftState transitState = state.shiftedBy(deltaMTauD.getValue());
// Transit state (re)computed with derivative structures
final TimeStampedFieldPVCoordinates<DerivativeStructure> transitStateDS = pvaDS.shiftedBy(deltaMTauD);
// Station-satellite vector expressed in inertial frame
final FieldVector3D<DerivativeStructure> staSat = transitStateDS.getPosition().subtract(stationDownlink.getPosition());
// Compute azimuth/elevation
final DerivativeStructure baseAzimuth = DerivativeStructure.atan2(staSat.dotProduct(east), staSat.dotProduct(north));
final double twoPiWrap = MathUtils.normalizeAngle(baseAzimuth.getReal(), getObservedValue()[0]) -
baseAzimuth.getReal();
final DerivativeStructure azimuth = baseAzimuth.add(twoPiWrap);
final DerivativeStructure elevation = staSat.dotProduct(zenith).divide(staSat.getNorm()).asin();
// Prepare the estimation
final EstimatedMeasurement<AngularAzEl> estimated =
new EstimatedMeasurement<>(this, iteration, evaluation,
new SpacecraftState[] {
transitState
}, new TimeStampedPVCoordinates[] {
transitStateDS.toTimeStampedPVCoordinates(),
stationDownlink.toTimeStampedPVCoordinates()
});
// azimuth - elevation values
estimated.setEstimatedValue(azimuth.getValue(), elevation.getValue());
// Partial derivatives of azimuth/elevation with respect to state
// (beware element at index 0 is the value, not a derivative)
final double[] azDerivatives = azimuth.getAllDerivatives();
final double[] elDerivatives = elevation.getAllDerivatives();
estimated.setStateDerivatives(0,
Arrays.copyOfRange(azDerivatives, 1, 7), Arrays.copyOfRange(elDerivatives, 1, 7));
// Set partial derivatives with respect to parameters
// (beware element at index 0 is the value, not a derivative)
for (final ParameterDriver driver : getParametersDrivers()) {
final Integer index = indices.get(driver.getName());
if (index != null) {
estimated.setParameterDerivatives(driver, azDerivatives[index + 1], elDerivatives[index + 1]);
}
}
return estimated;
}
}