Stability in the anisotropic Manev problem

Authors
Diacu, F
Citation
F. Diacu, Stability in the anisotropic Manev problem, J PHYS A, 33(37), 2000, pp. 6573-6578
Citations number
14
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
37
Year of publication
2000
Pages
6573 - 6578
Database
ISI
SICI code
0305-4470(20000922)33:37<6573:SITAMP>2.0.ZU;2-E
Abstract
The anisotropic Manev problem describes the motion of two point masses in a n anisotropic space under the influence of a Newtonian force-law with a rel ativistic correction term. In this paper we prove the existence of a large, open and connected manifold of solutions of the planar anisotropic Manev p roblem that are uniformly bounded and collisionless.