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VOL. 8 | 2007 On the Symmetries of the Manev Problem and Its Real Hamiltonian Form
Assen Kyuldjiev, Vladimir Gerdjikov, Giuseppe Marmo, Gaetano Vilasi

Editor(s) Ivaïlo M. Mladenov, Manuel de León


The Manev model and its real form dynamics are known to possess Ermanno–Bernoulli type invariants similar to the Laplace–Runge–Lenz vector of the Kepler model. Using these additional invariants, we demon- strate here that both Manev model and its real Hamiltonian form posses the same $\mathfrak{so}(3)$ or $\mathfrak{so}(2,1)$ symmetry algebras (in addition to the angular momentum algebra) on angular momentum level sets. Thus Kepler and Manev models are shown to have identical symmetry algebras and hence sharing more features than previously expected.


Published: 1 January 2007
First available in Project Euclid: 13 July 2015

zbMATH: 1145.70004
MathSciNet: MR2341206

Digital Object Identifier: 10.7546/giq-8-2007-221-233

Rights: Copyright © 2007 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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