Linear Stability of Triangular Equilibrium Points in Photogravitational Restricted Three-Body Problem with Triaxial Rigid Bodies and Oblate Spheroid

摘要

In this paper we have examined the linear stability of triangular equilibrium points in the photogravitational restricted three body problem when both primaries are triaxial rigid bodies and oblate spheroid. We have found equations of motion and triangular equilibrium points of our problem. With the help of characteristic equation we have discussed stability conditions. Finally, triangular equilibrium points are stable in the linear sense. It is further seen that the triangular points have long or short periodic elliptical orbits in the same range of μ.