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arXiv · 2202.05934

Representation of the gravitational potential of a level ellipsoid by a simple layer

Danila V. Milanov
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Abstract

A closed-form expression is obtained for the density of a simple layer, equipotential to an oblate level ellipsoid of revolution in an outer space. The potential of any level spheroid of positive mass with the inward direction of attracting force on its surface can be represented in this way. A family of density functions defined on the whole volume of a level ellipsoid of revolution is found. Several density examples are considered.

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Danila V. Milanov. 2022-02-11. Representation of the gravitational potential of a level ellipsoid by a simple layer. https://doi.org/10.1007/s10569-022-10086-4

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