RadialBasisSplines2KernelCoefficients
This program calculates the coefficients $k_n$ of a kernel:coefficients according to \[ k_n = \frac{GM}{4\pi R}\frac{\sigma_n}{\sqrt{2n+1}}. \]from a given gravityfield, with R and GM describing the reference radius and the geocentric constant, respectively. The $\sigma_n$ stand for the gravity field accuracies (from degree minDegree to maxDegree), if they are given. If no accuracies are provided, the $\sigma_n$ represent the square root of the degree variances of the gravity field. If maxDegree exceeds the maximum degree given by gravityfield, the higher degrees are complemented by Kaula's rule The output of the coefficients is given in the file outputfileCoefficients.
Name | Type | Annotation |
---|---|---|
outputfileCoefficients | filename | |
gravityfield | gravityfield | use sigmas, if not given use signal (cnm,snm), if not given use kaulas rule |
minDegree | uint | |
maxDegree | uint | |
GM | double | Geocentric gravitational constant |
R | double | reference radius |
kaulaPower | double | sigma = kaulaFactor/degree^kaulaPower |
kaulaFactor | double | sigma = kaulaFactor/degree^kaulaPower |