Application of the Prendergast method to a logarithmic potential
Abstract
The method originally developed by Prendergast (1982) for second-order nonlinear ordinary differential equations is used to find approximate solutions of the Hamiltonian equations of motion in the form of rational functions. This procedure makes it possible to find simple families of periodic orbits and bifurcations of double-period families of periodic orbits, which agree very well with the numerically calculated orbits.
- Publication:
-
Astronomy and Astrophysics
- Pub Date:
- January 1990
- Bibcode:
- 1990A&A...227...49C
- Keywords:
-
- Barred Galaxies;
- Computational Astrophysics;
- Kinematics;
- Potential;
- Equations Of Motion;
- Galactic Bulge;
- Orbital Mechanics;
- Perturbation Theory;
- Astrophysics