Linear Stability of Equilibrium Points in the Generalized Photogravitational Chermnykh's Problem
Dynamical Systems
2009-02-08 v1
Abstract
The equilibrium points and their linear stability has been discussed in the generalized photogravitational Chermnykh's problem. The bigger primary is being considered as a source of radiation and small primary as an oblate spheroid. The effect of radiation pressure has been discussed numerically. The collinear points are linearly unstable and triangular points are stable in the sense of Lyapunov stability provided . The effect of gravitational potential from the belt is also examined. The mathematical properties of this system are different from the classical restricted three body problem.
Keywords
Cite
@article{arxiv.0806.1132,
title = {Linear Stability of Equilibrium Points in the Generalized Photogravitational Chermnykh's Problem},
author = {Badam Singh Kushvah},
journal= {arXiv preprint arXiv:0806.1132},
year = {2009}
}