Stability of Triangular Equilibrium Points in the Photogravitational Elliptic RTBP with Oblateness

Abstract

This study investigates the motion of an infinitesimal mass around the triangular equilibrium points L_4,5 in the elliptic restricted three-body problem when the primaries are intense emitters of radiation with further consideration that the bigger is an oblate spheroid. It is found that the motion around the triangular points is stable under certain conditions, which depends on the eccentricity of the orbits, oblateness coefficient and the factors due to radiation of the primaries. We observe that all these parameters have destabilizing tendencies, consequently resulting in a sharp decrease in the region of stability of the triangular points.