Isolated periodic orbits and stability in separable potentials

Authors
Meletlidou, E Ichtiaroglou, S
Citation
E. Meletlidou et S. Ichtiaroglou, Isolated periodic orbits and stability in separable potentials, CEL MEC DYN, 71(4), 1998, pp. 289-300
Citations number
21
Categorie Soggetti
Space Sciences
Journal title
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
ISSN journal
09232958 → ACNP
Volume
71
Issue
4
Year of publication
1998
Pages
289 - 300
Database
ISI
SICI code
0923-2958(1998)71:4<289:IPOASI>2.0.ZU;2-8
Abstract
A method for determining the main families of isolated periodic orbits and their characteristic exponents in planar potentials which are separated by a point transformation is proposed. Since these orbits are continued analyt ically with the same stability, these results are persistent under small pe rturbations. The method is applied to the two fixed centers problem, the Pa ul trap and the dipole expansion of an electrostatic potential.