Least Square Approximation by Linear Combinations of Multi(Poles).
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1983
- Accession Number
- ADA134069
Entities
People
- Willi Freeden
Organizations
- Ohio State University