Representation of the Earth Potential by Buried Masses

  1. Soren W. Henriksen,
  2. Armando Mancini and
  3. Bernard H. Chovitz
  1. Georges Balmino

Published Online: 15 MAR 2013

DOI: 10.1029/GM015p0121

The Use of Artificial Satellites for Geodesy

The Use of Artificial Satellites for Geodesy

How to Cite

Balmino, G. (1972) Representation of the Earth Potential by Buried Masses, in The Use of Artificial Satellites for Geodesy (eds S. W. Henriksen, A. Mancini and B. H. Chovitz), American Geophysical Union, Washington, D. C.. doi: 10.1029/GM015p0121

Author Information

  1. Groupe De Recherches De GéOdéSie Spatiale Observatoire, 92 Meudon, France

Publication History

  1. Published Online: 15 MAR 2013
  2. Published Print: 1 JAN 1972

ISBN Information

Print ISBN: 9780875900155

Online ISBN: 9781118663646

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Keywords:

  • Earth potential;
  • Gravimetric geoid;
  • Gravity anomalies;
  • Satellite geodesy;
  • Satellite motion

Summary

Some ways of representing the earth potential by point masses are explored. The 1969 standard earth model of the Smithsonian Astrophysical Observatory is used as a reference. Points regularly distributed on a sphere inside the earth have been considered, as well as nonuniform configurations. The values of the masses are derived by a least-squares fit to the SAO field. The values of the different representations obtained have been checked by computing the geoid heights, gravity anomalies, and spherical harmonics associated with the field of the masses. The best model obtained consists of 126 points, mostly at a depth of 1300 km, tied to the important gravity anomalies derived from the reference field. The mean of the residuals is 6 mgal.