On the Theory and Optimization of Global Point-Mass Expansions of Anomalous Gravity.
Abstract
The relationship between point-mass and spherical harmonic expansions of anomalous gravity is analyzed. In particular, the spherical harmonic expansion of a point-mass set is determined and used to discuss the nature of point-mass solutions to the problem of modeling anomalous gravity. Also, a 'global error', which arises when a finite spherical harmonic expansion is replaced by a point-mass set, is first defined and then determined, both for the anomalous potential and its gradient. Defining an optimal point-mass set as one which minimizes the gradient error leads to a system of equations (linear in the masses, but non-linear in their positions) whose solution is the optimal point-mass set. Methods of solution are also discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1979
- Accession Number
- ADA073194
Entities
People
- John V. Shebalin
Organizations
- Naval Surface Warfare Center Dahlgren Division