On the determination of potential function

Details On the determination of potential function On the determination of potential function

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993an....314...91s&link_type=abstract

Astronomische Nachrichten (ISSN 0004-6337), vol. 314, no. 2, p. 91-95.

Astronomy and Astrophysics

Astronomy

3

Celestial Mechanics, Equations Of Motion, Orbital Elements, Potential Theory, Cartesian Coordinates, Euclidean Geometry, Three Body Problem

Scientific paper

Szebehely's renowned equation given in 1974, allowing for potential determination from a given orbit or family of orbits, is proved to be equivalent with an equation deduced in 1963 by Dramba. This basic equation in the inverse problem of dynamics, for which the denomination of Dramba-Szebehely equation is proposed, is generalized for the motion in the n-dimensional Euclidean space. A method for the determination of the potential function from motion equations is extended to this space.

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