Periodic orbits for a class of galactic potentials
Felipe Alfaro, Jaume Llibre, Ernesto P\'erez-Chavela
TL;DR
This paper uses averaging theory to identify periodic orbits in Hamiltonian systems modeling elliptic galaxy motions, providing insights into galactic dynamics.
Contribution
It introduces a novel application of averaging theory to find periodic orbits in galactic potential models.
Findings
Existence of periodic orbits in specified galactic potentials
Application of averaging theory to astrophysical Hamiltonian systems
Enhanced understanding of elliptic galaxy dynamics
Abstract
In this work, applying general results from averaging theory, we find periodic orbits for a class of Hamiltonian systems whose potential models the motion of elliptic galaxies.
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