Class SP3CoordinateHermiteInterpolator

    • Constructor Detail

      • SP3CoordinateHermiteInterpolator

        public SP3CoordinateHermiteInterpolator​(int interpolationPoints,
                                                double extrapolationThreshold,
                                                boolean useRates)
        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
        useRates - if true, use velocity and clock rates for interpolation
    • Method Detail

      • interpolate

        protected SP3Coordinate interpolate​(AbstractTimeInterpolator.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 AbstractTimeInterpolator<SP3Coordinate>
        Parameters:
        interpolationData - interpolation data
        Returns:
        interpolated instance from given interpolation data.