Existence and stability of the non-collinear libration points in the restricted three body problem when both the primaries are ellipsoid

摘要

This paper deals with the existence and stability of the non-collinear libration points in the restricted threebody problem when both the primaries are ellipsoid with equal mass and identical in shape. We have determined the equations of motion of the infinitesimal mass which involves elliptic integrals and then we have investigated the existence and stability of the non-collinear libration points. This is observed that the non-collinear libration points exist only in the interval 52?< φ <90? and form an isosceles triangle with the primaries. Further we observed that the non collinear libration points are unstable in 52?<φ <90?.