Libration points in the restricted three-body problem: Euler angles, existence and stability

Abstract

The objective of the present paper is to study in an analytical way the existence and the stability of the libration points, in the restricted three-body problem, when the primaries are triaxial rigid bodies in the case of the Euler angles of the rotational motion are equal to θ i = π/2, φ i = 0, φ i = π/2, i = 1, 2. We prove that the locations and the stability of the triangular points change according to the effect of the triaxiality of the primaries. Moreover, the solution of long and short periodic orbits for stable motion is presented.