Accession Number : AD0754251

Title :   Convergence of Molodensky's Series,

Corporate Author : OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE

Personal Author(s) : Moritz,Helmut

Report Date : SEP 1972

Pagination or Media Count : 60

Abstract : Mologensky's solution of the geodetic boundary-value problem consists in an asymptotic series expansion with respect to a parameter k. It is shown that this series converges for sufficiently small values of k. The method starts from an integral equation given by Brovar and uses a Neumann series solution of this equation; the norms of the occuring singlular integral operators are suitably estimated. (Author)

Descriptors :   (*GRAVITY, BOUNDARY VALUE PROBLEMS), ASYMPTOTIC SERIES, INTEGRAL EQUATIONS, POWER SERIES, NUMERICAL INTEGRATION, CONVERGENCE

Subject Categories : Geodesy
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE