Preparations for the numerical evaluation of second order Molodensky-type formulas
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Date
1971-09
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Ohio State University. Division of Geodetic Science
Abstract
A set of formulas proposed by Moritz and constituting a second order solution of Molodensky's problem has been transformed in a way that the resulting formulas are numerically tractable. The difficulty in the original formulas arose from the occurence of singular integrals. Their regularization introduces derivatives of gravity anomalies and terrain heights and necessitates a numerical differentiation procedure. Spline function interpolation has been chosen to deal with this. The existing truncation theory has been extended to cover more sophisticated truncation procedures as well as a succession of heavier and heavier smoothed versions of the integrand.
Description
Prepared for Air Force Cambridge Research Laboratories, Air Force Systems Command, United States Air Force, Bedford, Massachusetts: Contract No. F19628-69-C-0127, Project No. 7600, Task No. 760002, 04