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On one method of solving the direct gravimetric problem

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Summary

The general solution of the direct gravimetric problem for homogeneous and inhomogeneous bodies was derived in[1] in the form of Green-type integrals. In the present paper it is proved that this solution simplifies considerably, if the solution of the external Dirichlet problem, defined by conditions(2), is known for a closed surface bounding the attracting body.

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Reference

  1. T. Kolbenheyer: On a Method of Computing the Gravitational Fields of Inhomogeneous Bodies. Studia geoph. et geod., 17 (1973), 111.

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Authors and Affiliations

  1. The Faculty of Sciences, The P. J. Šafarik University, Košice

    Tibor Kolbenheyer

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  1. Tibor Kolbenheyer
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Dedicated to RNDr Jan Pícha, CSc., on his 60th Birthday

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Kolbenheyer, T. On one method of solving the direct gravimetric problem. Stud Geophys Geod 22, 21–22 (1978). https://doi.org/10.1007/BF01613628

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  • DOI: https://doi.org/10.1007/BF01613628

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