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Generalization of Laplace’s expansion to the earth’s surface

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An Erratum to this article was published on 01 September 1981

Abstract

The external expansion of the Earth’s potential V in spherical harmonics is generalized to the Earth’s surface. Some additional expansions are also proposed which represent the potential of a finite body practically in the whole space. The series developed can be used for the combined evaluation of the Earth’s potential from both satellite and gravimetric measurements.

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Authors and Affiliations

  1. Institute for Theoretical Astronomy, Leningrad, USSR

    M. S. Petrovskaya

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  1. M. S. Petrovskaya
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Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/BF02530866.

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Petrovskaya, M.S. Generalization of Laplace’s expansion to the earth’s surface. Bull. Geodesique 51, 53–62 (1977). https://doi.org/10.1007/BF02521541

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  • DOI: https://doi.org/10.1007/BF02521541

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