Representation of the gravitational field of rotationally symmetrical bodies through the attraction of mass points

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomy, Celestial Bodies, Gravitational Fields, Mass, Rotating Bodies, Approximation, Convergence, Ellipsoids

Scientific paper

The paper deals with the problem of approximating the gravitational
potential of celestial bodies, expressed as a series of spherical
functions, through a function representing the potential of a system of
mass points. The necessary and sufficient conditions for the convergence
of this series for this function are obtained.

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