Some Integral Formulas for a Non-Spherical Earth

  • Lars E. Sjöberg
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 106)


Solutions to the free and the fixed geodetic boundary problems are presented for a non-spherical Earth. The solutions become the classical integral formulas for a spherical boundary.


Gravity Anomaly Integral Formula Gravity Disturbance Spherical Boundary Physical Geodesy 
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  1. Heiskanen, W. and H. Moritz (1967): Physical Geodesy. W.H. Freeman and Co., San Francisco.Google Scholar
  2. Pick, M., J. Picha and V. Vyskocil (1973): Theory of the earth’s gravity field. Elsevier, Amsterdam.Google Scholar
  3. Sjöberg, L.E. (1990): Generalization of Stokes’s and Hotine’s formulas to a non-spherical Earth. Manuscripta Geodaetica (1990) 15:74–82.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Lars E. Sjöberg
    • 1
  1. 1.Department of GeodesyRoyal Institute of TechnologyStockholmSweden

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