Package org.orekit.utils

Class FieldAbsolutePVCoordinatesHermiteInterpolator<KK extends CalculusFieldElement<KK>>

java.lang.Object
org.orekit.time.AbstractFieldTimeInterpolator<FieldAbsolutePVCoordinates<KK>,KK>
org.orekit.utils.FieldAbsolutePVCoordinatesHermiteInterpolator<KK>
Type Parameters:
KK - type of the field elements
All Implemented Interfaces:
FieldTimeInterpolator<FieldAbsolutePVCoordinates<KK>,KK>
public class FieldAbsolutePVCoordinatesHermiteInterpolator<KK extends CalculusFieldElement<KK>> extends AbstractFieldTimeInterpolator<FieldAbsolutePVCoordinates<KK>,KK>
Class using a Hermite interpolator to interpolate absolute position-velocity-acceleration coordinates.

As this implementation of interpolation is polynomial, it should be used only with small number of interpolation points (about 10-20 points) in order to avoid Runge's phenomenon and numerical problems (including NaN appearing).

Author:
Luc Maisonobe, Vincent Cucchietti
See Also:

  • Constructor Details

    • FieldAbsolutePVCoordinatesHermiteInterpolator

      public FieldAbsolutePVCoordinatesHermiteInterpolator(Frame outputFrame)
      Constructor with :
      • Default number of interpolation points of DEFAULT_INTERPOLATION_POINTS
      • Default extrapolation threshold value (DEFAULT_EXTRAPOLATION_THRESHOLD_SEC s)
      • Use of position and two time derivatives during interpolation
      As this implementation of interpolation is polynomial, it should be used only with small number of interpolation points (about 10-20 points) in order to avoid Runge's phenomenon and numerical problems (including NaN appearing).
      Parameters:
      outputFrame - frame for the interpolated instance

    • FieldAbsolutePVCoordinatesHermiteInterpolator

      public FieldAbsolutePVCoordinatesHermiteInterpolator(int interpolationPoints, Frame outputFrame)
      Constructor with :
      • Default extrapolation threshold value (DEFAULT_EXTRAPOLATION_THRESHOLD_SEC s)
      • Use of position and two time derivatives during interpolation
      As this implementation of interpolation is polynomial, it should be used only with small number of interpolation points (about 10-20 points) in order to avoid Runge's phenomenon and numerical problems (including NaN appearing).
      Parameters:
      interpolationPoints - number of interpolation points
      outputFrame - frame for the interpolated instance

    • FieldAbsolutePVCoordinatesHermiteInterpolator

      public FieldAbsolutePVCoordinatesHermiteInterpolator(int interpolationPoints, Frame outputFrame, CartesianDerivativesFilter filter)
      Constructor with default extrapolation threshold value (DEFAULT_EXTRAPOLATION_THRESHOLD_SEC s).

      As this implementation of interpolation is polynomial, it should be used only with small number of interpolation points (about 10-20 points) in order to avoid Runge's phenomenon and numerical problems (including NaN appearing).

      Parameters:
      interpolationPoints - number of interpolation points
      outputFrame - frame for the interpolated instance
      filter - filter for derivatives from the sample to use in interpolation

    • FieldAbsolutePVCoordinatesHermiteInterpolator

      public FieldAbsolutePVCoordinatesHermiteInterpolator(int interpolationPoints, double extrapolationThreshold, Frame outputFrame, CartesianDerivativesFilter filter)
      Constructor.

      As this implementation of interpolation is polynomial, it should be used only with small number of interpolation points (about 10-20 points) in order to avoid Runge's phenomenon and numerical problems (including NaN appearing).

      Parameters:
      interpolationPoints - number of interpolation points
      extrapolationThreshold - extrapolation threshold beyond which the propagation will fail
      outputFrame - frame for the interpolated instance
      filter - filter for derivatives from the sample to use in interpolation

  • Method Details

    • getFilter

      public CartesianDerivativesFilter getFilter()
      Get filter for derivatives from the sample to use in interpolation.
      Returns:
      filter for derivatives from the sample to use in interpolation

    • getOutputFrame

      public Frame getOutputFrame()
      Get output frame for the interpolated instance.
      Returns:
      output frame for the interpolated instance

    • interpolate

      protected FieldAbsolutePVCoordinates<KK> interpolate(AbstractFieldTimeInterpolator<FieldAbsolutePVCoordinates<KK>,KK>.InterpolationData interpolationData)
      Interpolate instance from given interpolation data.

      The interpolated instance is created by polynomial Hermite interpolation ensuring velocity remains the exact derivative of position.

      Note that even if first time derivatives (velocities) from sample can be ignored, the interpolated instance always includes interpolated derivatives. This feature can be used explicitly to compute these derivatives when it would be too complex to compute them from an analytical formula: just compute a few sample points from the explicit formula and set the derivatives to zero in these sample points, then use interpolation to add derivatives consistent with the positions.

      Specified by:
      interpolate in class AbstractFieldTimeInterpolator<FieldAbsolutePVCoordinates<KK extends CalculusFieldElement<KK>>,KK extends CalculusFieldElement<KK>>
      Parameters:
      interpolationData - interpolation data
      Returns:
      interpolated instance from given interpolation data.