RangeRateIonosphericDelayModifier.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
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*
* http://www.apache.org/licenses/LICENSE-2.0
*
* 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.RealFieldElement;
import org.hipparchus.analysis.differentiation.DerivativeStructure;
import org.orekit.estimation.measurements.EstimatedMeasurement;
import org.orekit.estimation.measurements.EstimationModifier;
import org.orekit.estimation.measurements.GroundStation;
import org.orekit.estimation.measurements.RangeRate;
import org.orekit.frames.TopocentricFrame;
import org.orekit.models.earth.ionosphere.IonosphericModel;
import org.orekit.propagation.FieldSpacecraftState;
import org.orekit.propagation.Propagator;
import org.orekit.propagation.SpacecraftState;
import org.orekit.utils.Differentiation;
import org.orekit.utils.ParameterDriver;
import org.orekit.utils.ParameterFunction;
/** Class modifying theoretical range-rate measurement with ionospheric delay.
* The effect of ionospheric correction on the range-rate is directly computed
* through the computation of the ionospheric delay difference with respect to
* time.
*
* 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 Joris Olympio
* @since 8.0
*/
public class RangeRateIonosphericDelayModifier implements EstimationModifier<RangeRate> {
/** Ionospheric delay model. */
private final IonosphericModel ionoModel;
/** Frequency [Hz]. */
private final double frequency;
/** Coefficient for measurment configuration (one-way, two-way). */
private final double fTwoWay;
/** Constructor.
*
* @param model Ionospheric delay model appropriate for the current range-rate measurement method.
* @param freq frequency of the signal in Hz
* @param twoWay Flag indicating whether the measurement is two-way.
*/
public RangeRateIonosphericDelayModifier(final IonosphericModel model,
final double freq, final boolean twoWay) {
ionoModel = model;
frequency = freq;
if (twoWay) {
fTwoWay = 2.;
} else {
fTwoWay = 1.;
}
}
/** Compute the measurement error due to Ionosphere.
* @param station station
* @param state spacecraft state
* @return the measurement error due to Ionosphere
*/
private double rangeRateErrorIonosphericModel(final GroundStation station, final SpacecraftState state) {
final double dt = 10; // s
// Base frame associated with the station
final TopocentricFrame baseFrame = station.getBaseFrame();
// delay in meters
final double delay1 = ionoModel.pathDelay(state, baseFrame, frequency, ionoModel.getParameters());
// propagate spacecraft state forward by dt
final SpacecraftState state2 = state.shiftedBy(dt);
// ionospheric delay dt after in meters
final double delay2 = ionoModel.pathDelay(state2, baseFrame, frequency, ionoModel.getParameters());
// delay in meters
return fTwoWay * (delay2 - delay1) / dt;
}
/** 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 RealFieldElement<T>> T rangeRateErrorIonosphericModel(final GroundStation station,
final FieldSpacecraftState<T> state,
final T[] parameters) {
final double dt = 10; // s
// Base frame associated with the station
final TopocentricFrame baseFrame = station.getBaseFrame();
// delay in meters
final T delay1 = ionoModel.pathDelay(state, baseFrame, frequency, parameters);
// propagate spacecraft state forward by dt
final FieldSpacecraftState<T> state2 = state.shiftedBy(dt);
// ionospheric delay dt after in meters
final T delay2 = ionoModel.pathDelay(state2, baseFrame, frequency, parameters);
// delay in meters
return delay2.subtract(delay1).divide(dt).multiply(fTwoWay);
}
/** Compute the Jacobian of the delay term wrt state using
* automatic differentiation.
*
* @param derivatives ionospheric delay derivatives
* @param freeStateParameters dimension of the state.
*
* @return Jacobian of the delay wrt state
*/
private double[][] rangeRateErrorJacobianState(final double[] derivatives, final int freeStateParameters) {
final double[][] finiteDifferencesJacobian = new double[1][6];
for (int i = 0; i < freeStateParameters; i++) {
// First element is the value of the delay
finiteDifferencesJacobian[0][i] = derivatives[i + 1];
}
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 rangeRateErrorParameterDerivative(final GroundStation station,
final ParameterDriver driver,
final SpacecraftState state) {
final ParameterFunction rangeError = new ParameterFunction() {
/** {@inheritDoc} */
@Override
public double value(final ParameterDriver parameterDriver) {
return rangeRateErrorIonosphericModel(station, state);
}
};
final ParameterFunction rangeErrorDerivative =
Differentiation.differentiate(rangeError, 3, 10.0 * driver.getScale());
return rangeErrorDerivative.value(driver);
}
/** 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[] rangeRateErrorParameterDerivative(final double[] derivatives, final int freeStateParameters) {
// 0 -> value of the delay
// 1 ... freeStateParameters -> derivatives of the delay wrt state
// freeStateParameters + 1 ... n -> derivatives of the delay wrt ionospheric parameters
final int dim = derivatives.length - 1 - freeStateParameters;
final double[] rangeError = new double[dim];
for (int i = 0; i < dim; i++) {
rangeError[i] = derivatives[1 + freeStateParameters + i];
}
return rangeError;
}
/** {@inheritDoc} */
@Override
public List<ParameterDriver> getParametersDrivers() {
return ionoModel.getParametersDrivers();
}
/** {@inheritDoc} */
@Override
public void modify(final EstimatedMeasurement<RangeRate> estimated) {
final RangeRate measurement = estimated.getObservedMeasurement();
final GroundStation station = measurement.getStation();
final SpacecraftState state = estimated.getStates()[0];
final double[] oldValue = estimated.getEstimatedValue();
// update estimated derivatives with Jacobian of the measure wrt state
final IonosphericDSConverter converter = new IonosphericDSConverter(state, 6, Propagator.DEFAULT_LAW);
final FieldSpacecraftState<DerivativeStructure> dsState = converter.getState(ionoModel);
final DerivativeStructure[] dsParameters = converter.getParameters(dsState, ionoModel);
final DerivativeStructure dsDelay = rangeRateErrorIonosphericModel(station, dsState, dsParameters);
final double[] derivatives = dsDelay.getAllDerivatives();
// update estimated derivatives with Jacobian of the measure wrt state
final double[][] djac = rangeRateErrorJacobianState(derivatives, converter.getFreeStateParameters());
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] += djac[irow][jcol];
}
}
estimated.setStateDerivatives(0, stateDerivatives);
int index = 0;
for (final ParameterDriver driver : getParametersDrivers()) {
if (driver.isSelected()) {
// update estimated derivatives with derivative of the modification wrt ionospheric parameters
double parameterDerivative = estimated.getParameterDerivatives(driver)[0];
final double[] dDelaydP = rangeRateErrorParameterDerivative(derivatives, converter.getFreeStateParameters());
parameterDerivative += dDelaydP[index];
estimated.setParameterDerivatives(driver, parameterDerivative);
index = index + 1;
}
}
for (final ParameterDriver driver : Arrays.asList(station.getClockOffsetDriver(),
station.getEastOffsetDriver(),
station.getNorthOffsetDriver(),
station.getZenithOffsetDriver())) {
if (driver.isSelected()) {
// update estimated derivatives with derivative of the modification wrt station parameters
double parameterDerivative = estimated.getParameterDerivatives(driver)[0];
parameterDerivative += rangeRateErrorParameterDerivative(station, driver, state);
estimated.setParameterDerivatives(driver, parameterDerivative);
}
}
// update estimated value taking into account the ionospheric delay.
// The ionospheric delay is directly added to the range.
final double[] newValue = oldValue.clone();
newValue[0] = newValue[0] + dsDelay.getValue();
estimated.setEstimatedValue(newValue);
}
}