Stability of Triangular Equilibrium Points in Robe's Generalised Restricted Three Body Problem

Details Stability of Triangular Equilibrium Points in Robe's Generalised Restricted Three Body Problem Stability of Triangular Equilibrium Points in Robe's Generalised Restricted Three Body Problem

2006-02-27

arxiv.org/abs/math/0602603v1

Proc. of Math. Soc. BHU Vol. 20, 95-100, 2004

Mathematics

Dynamical Systems

6 Pages

Scientific paper

We have examined the stability of triangular equilibrium points in Robes's generalised restricted three body problem. The problem is generalised in the sense that more massive primary has been taken as an oblate spheroid. We have found the position of triangular equilibrium points. We have obtained variational equations of the problem. With the help of characteristic roots, we conclude that the triangular points are unstable. Robe's result may be verified from the generalised result.

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