Existence of Periodic Orbits of the First kind in the CR4BP when the Second Primary is an Oblate Spheroid and Third Primary is a Triaxial Rigid body

Abstract

We proposed to study the existence of periodic orbits of the first kind in the CR4BP when the second primary is an Oblate spheroid, the third primary is a triaxial rigid body and the fourth primary is of comparatively smaller mass placed at triangular libration point. By applying the model of Hassan [1,2] and Payal [3], we examine the existence of periodic orbits with the technique of Choudhary [4] and conditions of Duboshin [5] with different parametric values and found satisfied.