Citation
O. Ragos et al., On the equilibrium points of the relativistic restricted three-body problem, NONLIN ANAL, 47(5), 2001, pp. 3413-3418
Citations number
3
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X
→ ACNP
Volume
47
Issue
5
Year of publication
2001
Part
5
Pages
3413 - 3418
Database
ISI
SICI code
0362-546X(200108)47:5<3413:OTEPOT>2.0.ZU;2-E
Abstract
A detailed study of the relativistic problem of three bodies was presented
by Brumberg ([1,2]). He derived the equations of motion for the general pro
blem and he also deduced the corresponding equations for the restricted one
. The existence and linear stability of triangular equilibrium points of th
e restricted problem were studied by Bhatnagar and Hallan ([3]). In this co
ntribution we focus on the collinear libration points. We study the existen
ce, position and stability of these points.