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On the determination of potential function
Author(s) -
Stavinschi M.,
Mioc V.
Publication year - 1993
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113140207
Subject(s) - function (biology) , euclidean space , orbit (dynamics) , motion (physics) , physics , space (punctuation) , mathematical analysis , equations of motion , inverse , mathematics , classical mechanics , geometry , computer science , evolutionary biology , engineering , biology , aerospace engineering , operating system
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 Drǎmbǎ. This basic equation in the inverse problem of dynamics, for which the denomination of Drǎmbǎ –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.