INHOMOGENEOUS POTENTIALS PRODUCING HOMOGENEOUS ORBITS

Authors
BOZIS G ANISIU MC BLAGA C
Citation
G. Bozis et al., INHOMOGENEOUS POTENTIALS PRODUCING HOMOGENEOUS ORBITS, Astronomische Nachrichten, 318(5), 1997, pp. 313-318
Citations number
6
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Astronomische Nachrichten → ACNP
ISSN journal
00046337
Volume
318
Issue
5
Year of publication
1997
Pages
313 - 318
Database
ISI
SICI code
0004-6337(1997)318:5<313:IPPHO>2.0.ZU;2-B
Abstract
We prove that, in general, a given two-dimensional inhomogeneous poten tial 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 sa tisfies certain conditions, this potential is compatible either with o ne (or two) monoparametric homogeneous families of orbits or at most w ith five such families. The orbits are then found on the grounds of th e given potential.