Linear Stability of Equilibrium Points in the Generalized Photogravitational Chermnykh's Problem

Details Linear Stability of Equilibrium Points in the Generalized Photogravitational Chermnykh's Problem Linear Stability of Equilibrium Points in the Generalized Photogravitational Chermnykh's Problem

Publishing date

2008-06-06

URL

arxiv.org/abs/0806.1132v1

Journals

Astrophysics and Space Science, Volume 318, Numbers 1-2 / November, 2008

Science

Mathematics

Field

Dynamical Systems

Type

Scientific paper

Digital Object Identifier

10.1007/s10509-008-9898-0

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 $\mu< \mu_{Routh}=0.0385201$. 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.

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