Resonant Periodic Orbits in a Bisymmetrical Potential
Abstract
In the present paper we discuss the properties of several families of resonant periodic orbits in a general, time-independent, two-dimensional potential field, symmetric with respect to both axesx andyy. We classify the different cases by varying the parameters of the problem. In order to verify the theoretical results we also present some numerical examples.
- Publication:
-
Astrophysics and Space Science
- Pub Date:
- May 1985
- DOI:
- 10.1007/BF00653519
- Bibcode:
- 1985Ap&SS.112..367C
- Keywords:
-
- Elliptical Galaxies;
- Orbit Calculation;
- Eigenvectors;
- Orbit Perturbation;
- Resonance;
- Astronomy