On the stability of the Lagrangian solutions of the elliptic restricted three-body problem
Abstract
The question concerning the stability of the Lagrangian solutions of the elliptic restricted problem of three bodies is treated. The question of stability is solved for values of the parameters corresponding to the boundaries of the stability domains of the linearized system. The solution is in a nonlinear formulation.
- Publication:
-
Pisma v Astronomicheskii Zhurnal
- Pub Date:
- August 1980
- Bibcode:
- 1980PAZh....6..442I
- Keywords:
-
- Celestial Mechanics;
- Elliptic Differential Equations;
- Lagrangian Equilibrium Points;
- Systems Stability;
- Three Body Problem;
- Equations Of Motion;
- Hamiltonian Functions;
- Nonlinear Equations;
- Numerical Integration;
- Astronomy