Effect of Perturbations on the Stability of Triangular Libration Points of the Robes Restricted Three-Body Problem when the Primaries are Oblate Spheroid

摘要

The effect of small changes in the Coriolis and centrifugal forces on the stability of equilibrium points in the Robe restricted three body problem was studied. In this problem we considered both primaries as oblate spheroid. The critical mass obtained depends on the small changes in the Coriolis and centrifugal forces, oblateness of the rigid shell and the second the second primary as well as the density parameter k. The stability of the triangular points depends largely on the values of k. The destabilizing tendencies of the centrifugal force and oblateness factors were enhanced when k＞0 and weakened for k＜0.