Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space
Mathematical Physics
2021-09-07 v1 math.MP
Abstract
This work addresses the Hamiltonian dynamics of the Kepler problem in a deformed phase space, by considering the equatorial orbit. The recursion operators are constructed and used to compute the integrals of motion. The same investigation is performed with the introduction of the Laplace-Runge-Lenz vector. The existence of quasi-bi-Hamiltonian structures is also elucidated. Related properties are studied.
Cite
@article{arxiv.2109.02430,
title = {Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space},
author = {Mahouton Norbert Hounkonnou and Mahougnon Justin Landalidji},
journal= {arXiv preprint arXiv:2109.02430},
year = {2021}
}