Note on the attraction of an ellipsoid in a spherical universe - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

Note on the attraction of an ellipsoid in a spherical universe

Résumé

A classical theorem states that two confocal ellipsoids, each of them endowed with a surface distribution of mass which is called homeoidal, exert the same Newtonian force on an exterior point if they have the same total mass. We extend this theorem to the spherical geometry by adapting a forgotten proof by Chasles of the classical theorem. Compared to the existing results, this is a slightly stronger statement with a much shorter proof.

Dates et versions

hal-04750104 , version 1 (23-10-2024)

Identifiants

Citer

Alain Albouy. Note on the attraction of an ellipsoid in a spherical universe. 2024. ⟨hal-04750104⟩
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