Effects of Perturbations on the Location of Collinear Points In The Restricted Three-Body Problem with Triaxial Primaries

Abstract

In this paper, the effect of small perturbations in the coriolis and the centrifugal forces on the location of collinear points in the restricted three-body problem has been examined when both primaries are triaxial rigid bodies with one of the axes as the axis of symmetry and its equatorial plane coinciding with the plane of motion. It is seen that the positions of the collinear points are affected significantly by the change in the centrifugal force and triaxiality of the primaries.

Keywords: collinear points, perturbations, triaxial primaries and restricted three body problem.