
Accession Number : AD0667540
Title : DETERMINATION OF THE FIRST DERIVATIVES OF THE DISTURBING POTENTIAL BY GREEN'S FUNDAMENTAL FORMULA.
Descriptive Note : Interim rept.,
Corporate Author : OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE
Personal Author(s) : Koch,KarlRudolf
Report Date : OCT 1967
Pagination or Media Count : 50
Abstract : Simplified evaluations of the first derivatives with respect to an arbitrary direction of the potential of a simple layer and a double layer are given. The obtained formulas are used to differentiate Green's fundamental formula, which follows from Green's identities. They are checked by another method of differentiation. An application of the derivative of Green's formula in geodesy leads to a linear integral equation for the derivative of the disturbing potential with respect to the earth's normal. Using a method due to Molodensky, the integral equation is transformed into an integral formula. This formula yields the first derivatives of the disturbing potential at the earth's surface with respect to an arbitrary direction, if the freeair anomalies and the disturbing potential are known at the earth's surface. (Author)
Descriptors : (*GEODESICS, BOUNDARY VALUE PROBLEMS), INTEGRAL EQUATIONS, PROBLEM SOLVING, PERTURBATION THEORY, GRAVITY, POTENTIAL THEORY
Subject Categories : Geodesy
Distribution Statement : APPROVED FOR PUBLIC RELEASE