NONLINEAR STABILITY OF THE LAGRANGIAN LIBRATION POINTS IN THE CHERMNYKH PROBLEM

Authors
GOZDZIEWSKI K MACIEJEWSKI AJ
Citation
K. Gozdziewski et Aj. Maciejewski, NONLINEAR STABILITY OF THE LAGRANGIAN LIBRATION POINTS IN THE CHERMNYKH PROBLEM, Celestial mechanics & dynamical astronomy, 70(1), 1998, pp. 41-58
Citations number
19
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Celestial mechanics & dynamical astronomy → ACNP
ISSN journal
09232958
Volume
70
Issue
1
Year of publication
1998
Pages
41 - 58
Database
ISI
SICI code
0923-2958(1998)70:1<41:NSOTLL>2.0.ZU;2-M
Abstract
In this paper we consider the problem of motion of an infinitesimal po int mass in the gravity field of an uniformly rotating dumb-bell. The aim of our study is to investigate Liapunov stability of Lagrangian li bration points of this problem. We analyze the stability of libration points in the whole range of parameters omega, mu of the problem. In p articular, we consider all resonance cases when the order of resonance is not greater than five.