Periodic Orbits in a Resonant Dynamical System
Abstract
We study the periodic orbits in a two dimensional dynamical system, symmetric with respect to both axes, with two equal or nearly equal frequencies. It is shown that the periodic orbits can be found directly from the equations of motion. The form of these orbits depends on the value of the coupling parameter α. We verify the theoretical results by numerical calculations.
 Publication:

Celestial Mechanics
 Pub Date:
 July 1984
 DOI:
 10.1007/BF01230503
 Bibcode:
 1984CeMec..33..209C
 Keywords:

 Celestial Mechanics;
 Elliptical Galaxies;
 Galactic Rotation;
 Orbit Calculation;
 Elliptical Orbits;
 Equations Of Motion;
 Hamiltonian Functions;
 Astronomy