Combined effects of oblateness and photogravitational perturbations on the stability of the equilibrium points in the relativistic RTBP

摘要

In this work the stability of all equilibrium points in the photogravitational relativistic restricted three- body problem (RTBP) with oblate primaries is investigated for arbitrary RTBP systems. The four roots of the RTBP systems constituted from the Sun-planet of the solar system are computed as a computational example. The computation emphasizes the instability of all collinear points in the whole range of mass ratio. In the case of triangular points, the stability regions are affected differently according to the kind of perturbations. The different cases are plotted as well as analyzed.