Accession Number:

AD0737800

Title:

Preparations for the Numerical Evaluation of Second Order Molodensky Type Formulas

Descriptive Note:

Corporate Author:

OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING

Personal Author(s):

Report Date:

1971-09-01

Pagination or Media Count:

78.0

Abstract:

A set of formulas proposed by Moritz and constituting a second order solution of Molodenskys problem has been transformed in a way that the resulting formulas are numerically tractable. The difficulty in the original formulas was the occurrence 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 sucdession of heavier and heavier smoothed versions of the integrand.

Subject Categories:

  • Geodesy
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE