Abstract
We study an even polynomial potential which appears in the study of the galactic dynamics. We prove the existence of four families of periodic orbits in every positive energy level, and we compute an analytic approximation of them. Using such periodic orbits we provide information about the non-integrability of this Hamiltonian system. © 2012 American Institute of Physics.
Original language | English |
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Article number | 072901 |
Journal | Journal of Mathematical Physics |
Volume | 53 |
Issue number | 7 |
DOIs | |
Publication status | Published - 12 Jul 2012 |