Accuracy of Geoid Heights from Truncated Stokes' Kernels

摘要

The dependence of the root-mean-square (rms) geoid height error on the truncation angle and the degree of the first term in the series expansion of a modified Stokes' kernel is examined. It is shown that kernels with the lower degree terms removed have some advantage over the conventional kernel when a significant error in the zeroth degree term of the gravity anomaly expansion is present. Numerical estimates of rms geoid height error versus integration area size are obtained for several kernels. (Author)