Uniqueness of the inverse gravimetric problem for point mass models

Stromeyer, Dietrich; Ballani, L.

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Uniqueness of the inverse gravimetric problem for point mass models

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Stromeyer, Dietrich
2.6 Seismic Hazard and Stress Field, 2.0 Physics of the Earth, Departments, GFZ Publication Database, Deutsches GeoForschungsZentrum;

Ballani, L.
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Stromeyer, D., Ballani, L. (1984): Uniqueness of the inverse gravimetric problem for point mass models. - Manuscripta geodaetica, 9, 1-2, 125-136.

https://gfzpublic.gfz-potsdam.de/pubman/item/item_232380

Abstract

The unique solvability of the inverse gravimetric problem for systems of point masses arbitrarily distributed in a bounded region is proved. Using the equivalence of this statement to the linear independence of the corresponding Newtonian potentials for single point masses this proof can be given by means of a generalized momentum representation both in modern potential theory and in classical algebraical manner.-Authors