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 non-spherical 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