SOLUTION OF THE GEODETIC BOUNDARY-VALUE PROBLEM IN CASE OF A REFERENCE ELLIPSOID,

Abstract

The solution of the boundary-value problem of physical geodesy in the case of a reference ellipsoid is given with a relative error of the order of the square of the flattening of the earth. The solution is obtained by representing the disturbing potential at the earth's surface as the potential of a simple layer and by introducing this expression into the boundary condition. If the earth's topography is neglected in the derived solution, a new solution of Stokes' problem for a reference ellipsoid is obtained. As an example, the geodetic boundary-value problem is solved for a mathematical model of the earth. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1968
Accession Number
AD0676301

Entities

People

  • Karl-rudolf Koch

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Ellipsoids
  • Geodesy
  • Lepidoptera
  • Mathematical Models
  • Models
  • Reference Ellipsoids
  • Topography

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Space Exploration and Orbital Mechanics.