Accession Number : AD0697628

Title :   ON THE NUMERICAL SOLUTION OF MOLODENSKII'S INTEGRAL EQUATION FOR LAYER DENSITY (K Voprosu o Chislennom Reshenii Integralnogo Uraveniya Molodenskogo dlya Plotnosti Sloya),

Corporate Author : AERONAUTICAL CHART AND INFORMATION CENTER ST LOUIS MO LINGUISTIC SECTION

Personal Author(s) : Eremeev,V. F.

Report Date : OCT 1969

Pagination or Media Count : 15

Abstract : A method of successive approximations is described for numerical solution of Molodenskiy's integral equation for the density of a simple layer on the earth's physical surface. The layer density in the first approximation is defined by formula. The corresponding approximations of the quasigeoid height and plumbline deflections are given in formulas. Further approximations of the density and of the mentioned values are derived from formulas. In the first approximation, Molodenskiy's formulas for the numerical solution of the equation can be obtained without using the auxiliary x function. By so doing, one of Brovar's corrections becomes unnecessary in the solution with relative error on the order of the earth's flattening. (Author)

Descriptors :   (*GEODESICS, INTEGRAL EQUATIONS), GRAVITY, ANOMALIES, HARMONIC ANALYSIS, APPROXIMATION(MATHEMATICS), USSR

Subject Categories : Geodesy

Distribution Statement : APPROVED FOR PUBLIC RELEASE