Superintegrability in the Manev Problem and its Real Form Dynamics

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dc.creatorGerdjikov, V. S.
dc.creatorKyuldjiev, A.
dc.creatorMarmo, G.
dc.creatorVilasi, G.
dc.date2006-09-01
dc.date.accessioned2026-07-07T07:25:31Z
dc.date.available2026-07-07T07:25:31Z
dc.descriptionWe report here the existence of Ermanno-Bernoulli type invariants for the Manev model dynamics which may be viewed upon as remnants of Laplace-Runge-Lenz vector whose conservation is characteristic of the Kepler model. If the orbits are bounded these invariants exist only when a certain rationality condition is met and thus we have superintegrability only on a subset of initial values. We analyze real form dynamics of the Manev model and derive that it is always superintegrable. We also discuss the symmetry algebras of the Manev model and its real Hamiltonian form.
dc.description12 pages, LaTeX, In: Prof. G. Manev's Legacy in Contemporary Astronomy, Theoretical and Gravitational Physics, V. Gerdjikov, M. Tsvetkov (Eds), Heron Press, Sofia 2005, pp. 155-166
dc.identifierhttps://arxiv.org/abs/nlin/0609002
dc.identifierhttp://arxiv.org/abs/nlin/0609002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116740
dc.subjectExactly Solvable and Integrable Systems
dc.titleSuperintegrability in the Manev Problem and its Real Form Dynamics
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