Existence and stability of the libration points in CR3BP when the smaller primary is an oblate spheroid

Abstract

This paper deals with the existence and the stability of the libration points in the restricted three-body problem when the smaller primary is an oblate spheroid. We have determined the equations of motion of the infinitesimal mass and then we have investigated the collinear and non-collinear libration points and their stability in linear sense. This is found that there exist three collinear libration points and the non-collinear libration points are lying on the circumference of the unit circle whose centre is the bigger primary. Further it is observed that the collinear and non-collinear libration points all are unstable.