NONLINEAR STABILITY OF THE LIBRATION POINTS IN THE PHOTOGRAVITATIONALRESTRICTED 3 BODY PROBLEM

Authors
NIEDZIELSKA Z
Citation
Z. Niedzielska, NONLINEAR STABILITY OF THE LIBRATION POINTS IN THE PHOTOGRAVITATIONALRESTRICTED 3 BODY PROBLEM, Celestial mechanics & dynamical astronomy, 58(3), 1994, pp. 203-213
Citations number
NO
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Celestial mechanics & dynamical astronomy → ACNP
ISSN journal
09232958
Volume
58
Issue
3
Year of publication
1994
Pages
203 - 213
Database
ISI
SICI code
0923-2958(1994)58:3<203:NSOTLP>2.0.ZU;2-2
Abstract
The stability of the triangular libration points in the case when the first and the second order resonances appear was investigated. It was proved that the first order resonances do not cause instability. The s econd order resonances may lead to instability. Domains of the instabi lity in the two-dimensional parameter space were determined.