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Some Integral Formulas for a Non-Spherical Earth

  • Conference paper
Determination of the Geoid

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 106))

Abstract

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.

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References

  • Heiskanen, W. and H. Moritz (1967): Physical Geodesy. W.H. Freeman and Co., San Francisco.

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  • Pick, M., J. Picha and V. Vyskocil (1973): Theory of the earth’s gravity field. Elsevier, Amsterdam.

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  • Sjöberg, L.E. (1990): Generalization of Stokes’s and Hotine’s formulas to a non-spherical Earth. Manuscripta Geodaetica (1990) 15:74–82.

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Author information

Authors and Affiliations

  1. Department of Geodesy, Royal Institute of Technology, S-100 44, Stockholm, Sweden

    Lars E. Sjöberg

Authors
  1. Lars E. Sjöberg
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Editor information

Editors and Affiliations

  1. Department of Geodetic Science & Surveying, The Ohio State University, Columbus, OH, 43210-1247, USA

    Richard H. Rapp

  2. Instituto di Topografia, Fotogrammetria e Geofisica, Politecnico di Milano, I-Milano, 20133, Italy

    Fernando Sansò

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© 1991 Springer-Verlag New York Inc.

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Sjöberg, L.E. (1991). Some Integral Formulas for a Non-Spherical Earth. In: Rapp, R.H., Sansò, F. (eds) Determination of the Geoid. International Association of Geodesy Symposia, vol 106. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3104-2_39

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  • DOI: https://doi.org/10.1007/978-1-4612-3104-2_39

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97470-5

  • Online ISBN: 978-1-4612-3104-2

  • eBook Packages: Springer Book Archive

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