Periodic orbits in analytical planar galactic potentials

Authors
Citation
R. Scuflaire, Periodic orbits in analytical planar galactic potentials, CEL MEC DYN, 71(3), 1998, pp. 203-228
Citations number
9
Categorie Soggetti
Space Sciences
Journal title
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
ISSN journal
09232958 → ACNP
Volume
71
Issue
3
Year of publication
1998
Pages
203 - 228
Database
ISI
SICI code
0923-2958(1998)71:3<203:POIAPG>2.0.ZU;2-D
Abstract
We study the regular families of periodic orbits in an analytical planar ga lactic potential, using the method of Lindstedt. We obtain analytical expre ssions describing these orbits, validity of which is not limited to small a mplitudes. We can delimit, in the space of the parameters, the domain of ex istence of each family of orbits.