
Accession Number : ADA134069
Title : Least Square Approximation by Linear Combinations of Multi(Poles).
Descriptive Note : Technical rept.,
Corporate Author : OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING
Personal Author(s) : Freeden,Willi
PDF Url : ADA134069
Report Date : Apr 1983
Pagination or Media Count : 92
Abstract : The purpose of the paper is to transcribe the standard procedure of expanding an external gravitational potential by trial functions (e.g. mass points, multipoles, spherical harmonics) from the classical spherical case to nonspherical models. The external gravitational potential of the earth is shown to be expandable into a series being convergent outside and on any closed surface completely surrounding the earth's surface in the outer space. In addition, for each compact subset of the outer space with positive distance to the earth's surface, the convergence is uniform. A numerical method of computing the external gravitational potential by truncated series expansions concludes the paper. (Author)
Descriptors : *MATHEMATICAL MODELS, *EARTH MODELS, *LEAST SQUARES METHOD, *APPROXIMATION(MATHEMATICS), *GRAVITATIONAL FIELDS, POTENTIAL THEORY, SURFACES, LINEARITY, NUMERICAL ANALYSIS, NUMERICAL METHODS AND PROCEDURES, SPHERES, HARMONICS, FUNCTIONS(MATHEMATICS), COMPUTATIONS, HILBERT SPACE, BANACH SPACE
Subject Categories : Geodesy
Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE