What is it about?

Celestial mechanics is the branch of astronomy or applied mathematics, which is devoted to study and analyze the celestial bodies motion. The fundamental force governing this motion is mutual gravitational force between these bodies, “of course” this force is related to the gravitational potential between two bodies. In most cases, this force does not depend only on the mass and size of the bodies as well the separation distance between them, as stated in “Universal Newton's Law of Gravitation” but also on its shape, variation of mass, etc., which has a big significance in the dynamical behavior of body's motion

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Why is it important?

We have found simple formulae of the gravitational potential relations between two different shaped bodies, for direct using and practical applications.

Perspectives

We think that this work will attract many researchers to find simple formulae for the gravitational potential relations between two different shaped bodies, for direct using and practical applications.

Prof. Elbaz I. Abouelmagd
National Research Institute of Astronomy and Geophysics (NRIAG)

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This page is a summary of: Gravitational potential formulae between two bodies with finite dimensions, Astronomische Nachrichten, June 2020, Wiley,
DOI: 10.1002/asna.202013726.
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