TurnAroundRangeIonosphericDelayModifier.java
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* this work for additional information regarding copyright ownership.
* CS licenses this file to You under the Apache License, Version 2.0
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*
* http://www.apache.org/licenses/LICENSE-2.0
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* Unless required by applicable law or agreed to in writing, software
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package org.orekit.estimation.measurements.modifiers;
import java.util.Arrays;
import java.util.List;
import org.hipparchus.CalculusFieldElement;
import org.hipparchus.analysis.differentiation.Gradient;
import org.orekit.attitudes.FrameAlignedProvider;
import org.orekit.estimation.measurements.EstimatedMeasurement;
import org.orekit.estimation.measurements.EstimatedMeasurementBase;
import org.orekit.estimation.measurements.EstimationModifier;
import org.orekit.estimation.measurements.GroundStation;
import org.orekit.estimation.measurements.TurnAroundRange;
import org.orekit.frames.TopocentricFrame;
import org.orekit.models.earth.ionosphere.IonosphericModel;
import org.orekit.propagation.FieldSpacecraftState;
import org.orekit.propagation.SpacecraftState;
import org.orekit.time.AbsoluteDate;
import org.orekit.utils.Differentiation;
import org.orekit.utils.ParameterDriver;
import org.orekit.utils.ParameterFunction;
import org.orekit.utils.TimeSpanMap.Span;
/** Class modifying theoretical TurnAroundRange measurement with ionospheric delay.
* The effect of ionospheric correction on the TurnAroundRange is directly computed
* through the computation of the ionospheric delay.
*
* The ionospheric delay depends on the frequency of the signal (GNSS, VLBI, ...).
* For optical measurements (e.g. SLR), the ray is not affected by ionosphere charged particles.
* <p>
* Since 10.0, state derivatives and ionospheric parameters derivates are computed
* using automatic differentiation.
* </p>
* @author Maxime Journot
* @since 9.0
*/
public class TurnAroundRangeIonosphericDelayModifier implements EstimationModifier<TurnAroundRange> {
/** Ionospheric delay model. */
private final IonosphericModel ionoModel;
/** Frequency [Hz]. */
private final double frequency;
/** Constructor.
*
* @param model Ionospheric delay model appropriate for the current TurnAroundRange measurement method.
* @param freq frequency of the signal in Hz
*/
public TurnAroundRangeIonosphericDelayModifier(final IonosphericModel model,
final double freq) {
ionoModel = model;
frequency = freq;
}
/** Compute the measurement error due to ionosphere.
* @param station station
* @param state spacecraft state
* @return the measurement error due to ionosphere
*/
private double rangeErrorIonosphericModel(final GroundStation station,
final SpacecraftState state) {
// Base frame associated with the station
final TopocentricFrame baseFrame = station.getBaseFrame();
// Delay in meters
final double delay = ionoModel.pathDelay(state, baseFrame, frequency, ionoModel.getParameters(state.getDate()));
return delay;
}
/** Compute the measurement error due to ionosphere.
* @param <T> type of the elements
* @param station station
* @param state spacecraft state
* @param parameters ionospheric model parameters
* @return the measurement error due to ionosphere
*/
private <T extends CalculusFieldElement<T>> T rangeErrorIonosphericModel(final GroundStation station,
final FieldSpacecraftState<T> state,
final T[] parameters) {
// Base frame associated with the station
final TopocentricFrame baseFrame = station.getBaseFrame();
// Delay in meters
final T delay = ionoModel.pathDelay(state, baseFrame, frequency, parameters);
return delay;
}
/** Compute the Jacobian of the delay term wrt state using
* automatic differentiation.
*
* @param derivatives ionospheric delay derivatives
*
* @return Jacobian of the delay wrt state
*/
private double[][] rangeErrorJacobianState(final double[] derivatives) {
final double[][] finiteDifferencesJacobian = new double[1][6];
System.arraycopy(derivatives, 0, finiteDifferencesJacobian[0], 0, 6);
return finiteDifferencesJacobian;
}
/** Compute the derivative of the delay term wrt parameters.
*
* @param station ground station
* @param driver driver for the station offset parameter
* @param state spacecraft state
* @return derivative of the delay wrt station offset parameter
*/
private double rangeErrorParameterDerivative(final GroundStation station,
final ParameterDriver driver,
final SpacecraftState state) {
final ParameterFunction rangeError = new ParameterFunction() {
/** {@inheritDoc} */
@Override
public double value(final ParameterDriver parameterDriver, final AbsoluteDate date) {
return rangeErrorIonosphericModel(station, state);
}
};
final ParameterFunction rangeErrorDerivative =
Differentiation.differentiate(rangeError, 3, 10.0 * driver.getScale());
return rangeErrorDerivative.value(driver, state.getDate());
}
/** Compute the derivative of the delay term wrt parameters using
* automatic differentiation.
*
* @param derivatives ionospheric delay derivatives
* @param freeStateParameters dimension of the state.
* @return derivative of the delay wrt ionospheric model parameters
*/
private double[] rangeErrorParameterDerivative(final double[] derivatives, final int freeStateParameters) {
// 0 ... freeStateParameters - 1 -> derivatives of the delay wrt state
// freeStateParameters ... n -> derivatives of the delay wrt ionospheric parameters
final int dim = derivatives.length - freeStateParameters;
final double[] rangeError = new double[dim];
for (int i = 0; i < dim; i++) {
rangeError[i] = derivatives[freeStateParameters + i];
}
return rangeError;
}
/** {@inheritDoc} */
@Override
public List<ParameterDriver> getParametersDrivers() {
return ionoModel.getParametersDrivers();
}
@Override
public void modifyWithoutDerivatives(final EstimatedMeasurementBase<TurnAroundRange> estimated) {
final TurnAroundRange measurement = estimated.getObservedMeasurement();
final GroundStation primaryStation = measurement.getPrimaryStation();
final GroundStation secondaryStation = measurement.getSecondaryStation();
final SpacecraftState state = estimated.getStates()[0];
// Update estimated value taking into account the ionospheric delay.
// The ionospheric delay is directly added to the TurnAroundRange.
final double[] newValue = estimated.getEstimatedValue();
final double primaryDelay = rangeErrorIonosphericModel(primaryStation, state);
final double secondaryDelay = rangeErrorIonosphericModel(secondaryStation, state);
newValue[0] = newValue[0] + primaryDelay + secondaryDelay;
estimated.setEstimatedValue(newValue);
}
@Override
public void modify(final EstimatedMeasurement<TurnAroundRange> estimated) {
final TurnAroundRange measurement = estimated.getObservedMeasurement();
final GroundStation primaryStation = measurement.getPrimaryStation();
final GroundStation secondaryStation = measurement.getSecondaryStation();
final SpacecraftState state = estimated.getStates()[0];
// Update estimated derivatives with Jacobian of the measure wrt state
final ModifierGradientConverter converter =
new ModifierGradientConverter(state, 6, new FrameAlignedProvider(state.getFrame()));
final FieldSpacecraftState<Gradient> gState = converter.getState(ionoModel);
final Gradient[] gParameters = converter.getParametersAtStateDate(gState, ionoModel);
final Gradient primaryGDelay = rangeErrorIonosphericModel(primaryStation, gState, gParameters);
final Gradient secondaryGDelay = rangeErrorIonosphericModel(secondaryStation, gState, gParameters);
final double[] primaryDerivatives = primaryGDelay.getGradient();
final double[] secondaryDerivatives = secondaryGDelay.getGradient();
final double[][] primaryDjac = rangeErrorJacobianState(primaryDerivatives);
final double[][] secondaryDjac = rangeErrorJacobianState(secondaryDerivatives);
final double[][] stateDerivatives = estimated.getStateDerivatives(0);
for (int irow = 0; irow < stateDerivatives.length; ++irow) {
for (int jcol = 0; jcol < stateDerivatives[0].length; ++jcol) {
stateDerivatives[irow][jcol] += primaryDjac[irow][jcol] + secondaryDjac[irow][jcol];
}
}
estimated.setStateDerivatives(0, stateDerivatives);
int indexPrimary = 0;
for (final ParameterDriver driver : getParametersDrivers()) {
if (driver.isSelected()) {
for (Span<String> span = driver.getNamesSpanMap().getFirstSpan(); span != null; span = span.next()) {
// update estimated derivatives with derivative of the modification wrt ionospheric parameters
double parameterDerivative = estimated.getParameterDerivatives(driver, span.getStart())[0];
final double[] derivatives = rangeErrorParameterDerivative(primaryDerivatives, converter.getFreeStateParameters());
parameterDerivative += derivatives[indexPrimary];
estimated.setParameterDerivatives(driver, span.getStart(), parameterDerivative);
indexPrimary += 1;
}
}
}
int indexSecondary = 0;
for (final ParameterDriver driver : getParametersDrivers()) {
if (driver.isSelected()) {
for (Span<String> span = driver.getNamesSpanMap().getFirstSpan(); span != null; span = span.next()) {
// update estimated derivatives with derivative of the modification wrt ionospheric parameters
double parameterDerivative = estimated.getParameterDerivatives(driver, span.getStart())[0];
final double[] derivatives = rangeErrorParameterDerivative(secondaryDerivatives, converter.getFreeStateParameters());
parameterDerivative += derivatives[indexSecondary];
estimated.setParameterDerivatives(driver, span.getStart(), parameterDerivative);
indexSecondary += 1;
}
}
}
// Update derivatives with respect to primary station position
for (final ParameterDriver driver : Arrays.asList(primaryStation.getClockOffsetDriver(),
primaryStation.getEastOffsetDriver(),
primaryStation.getNorthOffsetDriver(),
primaryStation.getZenithOffsetDriver())) {
if (driver.isSelected()) {
for (Span<String> span = driver.getNamesSpanMap().getFirstSpan(); span != null; span = span.next()) {
double parameterDerivative = estimated.getParameterDerivatives(driver, span.getStart())[0];
parameterDerivative += rangeErrorParameterDerivative(primaryStation, driver, state);
estimated.setParameterDerivatives(driver, span.getStart(), parameterDerivative);
}
}
}
// Update derivatives with respect to secondary station position
for (final ParameterDriver driver : Arrays.asList(secondaryStation.getEastOffsetDriver(),
secondaryStation.getNorthOffsetDriver(),
secondaryStation.getZenithOffsetDriver())) {
if (driver.isSelected()) {
for (Span<String> span = driver.getNamesSpanMap().getFirstSpan(); span != null; span = span.next()) {
double parameterDerivative = estimated.getParameterDerivatives(driver, span.getStart())[0];
parameterDerivative += rangeErrorParameterDerivative(secondaryStation, driver, state);
estimated.setParameterDerivatives(driver, span.getStart(), parameterDerivative);
}
}
}
// Update estimated value taking into account the ionospheric delay.
// The ionospheric delay is directly added to the TurnAroundRange.
final double[] newValue = estimated.getEstimatedValue();
newValue[0] = newValue[0] + primaryGDelay.getReal() + secondaryGDelay.getReal();
estimated.setEstimatedValue(newValue);
}
}