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VOL. 9 | 2008 On the Equivalence Between Manev and Kepler Problems
Assen Kyuldjiev, Vladimir Gerdjikov, Giuseppe Marmo, Gaetano Vilasi

Editor(s) Ivaïlo M. Mladenov

Abstract

Here we demonstrate the existence of a local Darboux chart for the Manev model such that its dynamics becomes locally equivalent to the Kepler model. This explains lot of similarities between these two models and especially why they share common symmetry algebras. We also discuss the existence of group actions on the phase space for the algebras inherent in the Manev model.

Information

Published: 1 January 2008
First available in Project Euclid: 13 July 2015

zbMATH: 05722415
MathSciNet: MR2436275

Digital Object Identifier: 10.7546/giq-9-2008-241-251

Rights: Copyright © 2008 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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