Stability of Collinear Equilibrium Points in Robes's Generalised Restricted Three Body Problem

Details Stability of Collinear Equilibrium Points in Robes's Generalised Restricted Three Body Problem Stability of Collinear Equilibrium Points in Robes's Generalised Restricted Three Body Problem

2006-02-27

arxiv.org/abs/math/0602605v1

Mathematics

Dynamical Systems

7pages 1 figure

Scientific paper

We have examined the stability of collinear 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 collinear equilibrium points. We have obtained variational equations of the problem. With the help of characteristic roots, we conclude that the collinear points are unstable. Robe's result may be verified from the generalised result.

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