A recursive algorithm for evaluating Molodenskii-type truncation error coefficients at altitude

Abstract

A recursive method is derived for computing the Molodenskii truncation error coefficients at altitude for the altitude-generalized Stokes integral. Furthermore, the Cook truncation error coefficients at altitude corresponding to the generalized Vening-Meinesz integral are derived in terms of the Molodenskii coefficients. Also, the gravity disturbance truncation error coefficients at altitude are related to the Molodenskii coefficients. By combining these results, it is shown how the truncation error for the complete gravity disturbance vector at altitude may be computed recursively.