Periodic Orbits near the Triangular Libration Points in the Photogravitational Cr3bp with Belt

Abstract

This paper considers periodic orbits in an ameliorated version of the photogravitational circular restricted three-body problem where the primaries are encircled by a belt of homogeneous round planar array of substantial points. The paper investigates the influence of the radiation emitted by the primaries together with gravitational potential generated by the belt on the periodic orbits of an infinitesimal mass about the stable triangular libration points. Under the combined effect of the radiation of the primaries and gravitational potential from the belt, the frequencies of the periodic orbits, angle of rotation, eccentricity of the long periodic orbit and the lengths of semi-major axes of the orbits increase. It is seen that the infinitesimal mass will depart from the obits near the triangular points.