Solvable cases of Szebehely's equation |
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| Authors: | S Grigoriadou G Bozis B Elmabsout |
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| Institution: | (1) Department of Theoretical Mechanics, Aristotle University of Thessaloniki, GR‐54006, Greece, e‐mail;(2) Laboratoire de Modélisation en Méchanique, U.F.R. de Mécanique, Université Paris, 6 Paris, France |
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| Abstract: | Szebehely’s equation is a first order partial differential equation relating a given family of orbits f (x, y) = q traced
by a unit mass material point, the total energy E=E(f), and the unknown potential V=V (x, y) which produces the family. Although
linear in V, this equation cannot generally be solved. In this paper we develop the reasoning for finding several cases for
which Szebehely’s equation can be solved by quadratures.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | Szebehely's equation inverse problem |
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