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- W4385965981 abstract "The problem of Kepler dynamics on a conformable Poisson manifold is addressed. The Hamiltonian function is defined and the related Hamiltonian vector field governing the dynamics is derived, which leads to a modified Newton second law. Conformable momentum and Laplace-Runge-Lenz vectors are considered, generating $SO(3), SO(4),$ and $SO(1, 3)$ dynamical symmetry groups. The corresponding first Casimir operators of $SO(4)$ and $SO(1, 3)$ are, respectively, obtained. The recursion operators are constructed and used to compute the integrals of motion in action-angle coordinates. Main relevant properties are deducted and discussed." @default.
- W4385965981 created "2023-08-18" @default.
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- W4385965981 date "2023-07-26" @default.
- W4385965981 modified "2023-09-23" @default.
- W4385965981 title "Kepler dynamics on a conformable Poisson manifold" @default.
- W4385965981 doi "https://doi.org/10.48550/arxiv.2308.08450" @default.
- W4385965981 hasPublicationYear "2023" @default.
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