use of org.hipparchus.Field in project Orekit by CS-SI.
the class AbstractForceModelTest method checkStateJacobianVsFiniteDifferences.
protected void checkStateJacobianVsFiniteDifferences(final SpacecraftState state0, final ForceModel forceModel, final AttitudeProvider provider, final double dP, final double checkTolerance, final boolean print) throws OrekitException {
double[][] finiteDifferencesJacobian = Differentiation.differentiate(state -> forceModel.acceleration(state, forceModel.getParameters()).toArray(), 3, provider, OrbitType.CARTESIAN, PositionAngle.MEAN, dP, 5).value(state0);
DSFactory factory = new DSFactory(6, 1);
Field<DerivativeStructure> field = factory.getDerivativeField();
final FieldAbsoluteDate<DerivativeStructure> fDate = new FieldAbsoluteDate<>(field, state0.getDate());
final Vector3D p = state0.getPVCoordinates().getPosition();
final Vector3D v = state0.getPVCoordinates().getVelocity();
final Vector3D a = state0.getPVCoordinates().getAcceleration();
final TimeStampedFieldPVCoordinates<DerivativeStructure> fPVA = new TimeStampedFieldPVCoordinates<>(fDate, new FieldVector3D<>(factory.variable(0, p.getX()), factory.variable(1, p.getY()), factory.variable(2, p.getZ())), new FieldVector3D<>(factory.variable(3, v.getX()), factory.variable(4, v.getY()), factory.variable(5, v.getZ())), new FieldVector3D<>(factory.constant(a.getX()), factory.constant(a.getY()), factory.constant(a.getZ())));
final TimeStampedFieldAngularCoordinates<DerivativeStructure> fAC = new TimeStampedFieldAngularCoordinates<>(fDate, new FieldRotation<>(field, state0.getAttitude().getRotation()), new FieldVector3D<>(field, state0.getAttitude().getSpin()), new FieldVector3D<>(field, state0.getAttitude().getRotationAcceleration()));
final FieldSpacecraftState<DerivativeStructure> fState = new FieldSpacecraftState<>(new FieldCartesianOrbit<>(fPVA, state0.getFrame(), state0.getMu()), new FieldAttitude<>(state0.getFrame(), fAC), field.getZero().add(state0.getMass()));
FieldVector3D<DerivativeStructure> dsJacobian = forceModel.acceleration(fState, forceModel.getParameters(fState.getDate().getField()));
Vector3D dFdPXRef = new Vector3D(finiteDifferencesJacobian[0][0], finiteDifferencesJacobian[1][0], finiteDifferencesJacobian[2][0]);
Vector3D dFdPXRes = new Vector3D(dsJacobian.getX().getPartialDerivative(1, 0, 0, 0, 0, 0), dsJacobian.getY().getPartialDerivative(1, 0, 0, 0, 0, 0), dsJacobian.getZ().getPartialDerivative(1, 0, 0, 0, 0, 0));
Vector3D dFdPYRef = new Vector3D(finiteDifferencesJacobian[0][1], finiteDifferencesJacobian[1][1], finiteDifferencesJacobian[2][1]);
Vector3D dFdPYRes = new Vector3D(dsJacobian.getX().getPartialDerivative(0, 1, 0, 0, 0, 0), dsJacobian.getY().getPartialDerivative(0, 1, 0, 0, 0, 0), dsJacobian.getZ().getPartialDerivative(0, 1, 0, 0, 0, 0));
Vector3D dFdPZRef = new Vector3D(finiteDifferencesJacobian[0][2], finiteDifferencesJacobian[1][2], finiteDifferencesJacobian[2][2]);
Vector3D dFdPZRes = new Vector3D(dsJacobian.getX().getPartialDerivative(0, 0, 1, 0, 0, 0), dsJacobian.getY().getPartialDerivative(0, 0, 1, 0, 0, 0), dsJacobian.getZ().getPartialDerivative(0, 0, 1, 0, 0, 0));
Vector3D dFdVXRef = new Vector3D(finiteDifferencesJacobian[0][3], finiteDifferencesJacobian[1][3], finiteDifferencesJacobian[2][3]);
Vector3D dFdVXRes = new Vector3D(dsJacobian.getX().getPartialDerivative(0, 0, 0, 1, 0, 0), dsJacobian.getY().getPartialDerivative(0, 0, 0, 1, 0, 0), dsJacobian.getZ().getPartialDerivative(0, 0, 0, 1, 0, 0));
Vector3D dFdVYRef = new Vector3D(finiteDifferencesJacobian[0][4], finiteDifferencesJacobian[1][4], finiteDifferencesJacobian[2][4]);
Vector3D dFdVYRes = new Vector3D(dsJacobian.getX().getPartialDerivative(0, 0, 0, 0, 1, 0), dsJacobian.getY().getPartialDerivative(0, 0, 0, 0, 1, 0), dsJacobian.getZ().getPartialDerivative(0, 0, 0, 0, 1, 0));
Vector3D dFdVZRef = new Vector3D(finiteDifferencesJacobian[0][5], finiteDifferencesJacobian[1][5], finiteDifferencesJacobian[2][5]);
Vector3D dFdVZRes = new Vector3D(dsJacobian.getX().getPartialDerivative(0, 0, 0, 0, 0, 1), dsJacobian.getY().getPartialDerivative(0, 0, 0, 0, 0, 1), dsJacobian.getZ().getPartialDerivative(0, 0, 0, 0, 0, 1));
if (print) {
System.out.println("dF/dPX ref: " + dFdPXRef.getX() + " " + dFdPXRef.getY() + " " + dFdPXRef.getZ());
System.out.println("dF/dPX res: " + dFdPXRes.getX() + " " + dFdPXRes.getY() + " " + dFdPXRes.getZ());
System.out.println("dF/dPY ref: " + dFdPYRef.getX() + " " + dFdPYRef.getY() + " " + dFdPYRef.getZ());
System.out.println("dF/dPY res: " + dFdPYRes.getX() + " " + dFdPYRes.getY() + " " + dFdPYRes.getZ());
System.out.println("dF/dPZ ref: " + dFdPZRef.getX() + " " + dFdPZRef.getY() + " " + dFdPZRef.getZ());
System.out.println("dF/dPZ res: " + dFdPZRes.getX() + " " + dFdPZRes.getY() + " " + dFdPZRes.getZ());
System.out.println("dF/dPX ref norm: " + dFdPXRef.getNorm() + ", abs error: " + Vector3D.distance(dFdPXRef, dFdPXRes) + ", rel error: " + (Vector3D.distance(dFdPXRef, dFdPXRes) / dFdPXRef.getNorm()));
System.out.println("dF/dPY ref norm: " + dFdPYRef.getNorm() + ", abs error: " + Vector3D.distance(dFdPYRef, dFdPYRes) + ", rel error: " + (Vector3D.distance(dFdPYRef, dFdPYRes) / dFdPYRef.getNorm()));
System.out.println("dF/dPZ ref norm: " + dFdPZRef.getNorm() + ", abs error: " + Vector3D.distance(dFdPZRef, dFdPZRes) + ", rel error: " + (Vector3D.distance(dFdPZRef, dFdPZRes) / dFdPZRef.getNorm()));
System.out.println("dF/dVX ref norm: " + dFdVXRef.getNorm() + ", abs error: " + Vector3D.distance(dFdVXRef, dFdVXRes) + ", rel error: " + (Vector3D.distance(dFdVXRef, dFdVXRes) / dFdVXRef.getNorm()));
System.out.println("dF/dVY ref norm: " + dFdVYRef.getNorm() + ", abs error: " + Vector3D.distance(dFdVYRef, dFdVYRes) + ", rel error: " + (Vector3D.distance(dFdVYRef, dFdVYRes) / dFdVYRef.getNorm()));
System.out.println("dF/dVZ ref norm: " + dFdVZRef.getNorm() + ", abs error: " + Vector3D.distance(dFdVZRef, dFdVZRes) + ", rel error: " + (Vector3D.distance(dFdVZRef, dFdVZRes) / dFdVZRef.getNorm()));
}
checkdFdP(dFdPXRef, dFdPXRes, checkTolerance);
checkdFdP(dFdPYRef, dFdPYRes, checkTolerance);
checkdFdP(dFdPZRef, dFdPZRes, checkTolerance);
checkdFdP(dFdVXRef, dFdVXRes, checkTolerance);
checkdFdP(dFdVYRef, dFdVYRes, checkTolerance);
checkdFdP(dFdVZRef, dFdVZRes, checkTolerance);
}
use of org.hipparchus.Field in project Orekit by CS-SI.
the class FieldCartesianOrbitTest method doTestNonKeplerianDerivatives.
private <T extends RealFieldElement<T>> void doTestNonKeplerianDerivatives(Field<T> field) throws OrekitException {
final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field, "2003-05-01T00:00:20.000", TimeScalesFactory.getUTC());
final FieldVector3D<T> position = new FieldVector3D<>(field.getZero().add(6896874.444705), field.getZero().add(1956581.072644), field.getZero().add(-147476.245054));
final FieldVector3D<T> velocity = new FieldVector3D<>(field.getZero().add(166.816407662), field.getZero().add(-1106.783301861), field.getZero().add(-7372.745712770));
final FieldVector3D<T> acceleration = new FieldVector3D<>(field.getZero().add(-7.466182457944), field.getZero().add(-2.118153357345), field.getZero().add(0.160004048437));
final TimeStampedFieldPVCoordinates<T> pv = new TimeStampedFieldPVCoordinates<>(date, position, velocity, acceleration);
final Frame frame = FramesFactory.getEME2000();
final double mu = Constants.EIGEN5C_EARTH_MU;
final FieldCartesianOrbit<T> orbit = new FieldCartesianOrbit<>(pv, frame, mu);
Assert.assertEquals(differentiate(pv, frame, mu, shifted -> shifted.getA()), orbit.getADot().getReal(), 4.3e-8);
Assert.assertEquals(differentiate(pv, frame, mu, shifted -> shifted.getEquinoctialEx()), orbit.getEquinoctialExDot().getReal(), 2.1e-15);
Assert.assertEquals(differentiate(pv, frame, mu, shifted -> shifted.getEquinoctialEy()), orbit.getEquinoctialEyDot().getReal(), 5.3e-16);
Assert.assertEquals(differentiate(pv, frame, mu, shifted -> shifted.getHx()), orbit.getHxDot().getReal(), 4.4e-15);
Assert.assertEquals(differentiate(pv, frame, mu, shifted -> shifted.getHy()), orbit.getHyDot().getReal(), 8.0e-16);
Assert.assertEquals(differentiate(pv, frame, mu, shifted -> shifted.getLv()), orbit.getLvDot().getReal(), 1.2e-15);
Assert.assertEquals(differentiate(pv, frame, mu, shifted -> shifted.getLE()), orbit.getLEDot().getReal(), 7.8e-16);
Assert.assertEquals(differentiate(pv, frame, mu, shifted -> shifted.getLM()), orbit.getLMDot().getReal(), 8.8e-16);
Assert.assertEquals(differentiate(pv, frame, mu, shifted -> shifted.getE()), orbit.getEDot().getReal(), 7.0e-16);
Assert.assertEquals(differentiate(pv, frame, mu, shifted -> shifted.getI()), orbit.getIDot().getReal(), 5.7e-16);
}
Aggregations