A new solution to the Lagrange's case of the three-body problem

Authors
Pina, E
Citation
E. Pina, A new solution to the Lagrange's case of the three-body problem, CEL MEC DYN, 74(3), 1999, pp. 163-174
Citations number
9
Categorie Soggetti
Space Sciences
Journal title
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
ISSN journal
09232958 → ACNP
Volume
74
Issue
3
Year of publication
1999
Pages
163 - 174
Database
ISI
SICI code
0923-2958(1999)74:3<163:ANSTTL>2.0.ZU;2-X
Abstract
The motion of three particles, interacting by gravitational forces, is stud ied in a new coordinate system given by the principal axes of inertia, as d etermined by Euler angles, and using the inertia principal moments and an a uxiliar angle as coordinates. The solution to the particular Lagrange case of the three-body problem is r eviewed and solved in these new coordinates.