Inhomogeneous potentials producing homogeneous orbits
Abstract
We prove that, in general, a given two--dimensional inhomogeneous potential % V(x,y) does not allow for the creation of homogeneous families of orbits. Yet, depending on the case at hand, if the given potential satisfies certain conditions, this potential is compatible either with one (or two) monoparametric homogeneous families of orbits or at most with five such families. The orbits are then found on the grounds of the given potential.
- Publication:
-
Astronomische Nachrichten
- Pub Date:
- August 1997
- DOI:
- 10.1002/asna.2113180508
- Bibcode:
- 1997AN....318..313B