Motion around L 4 in the perturbed relativistic R3BP

This paper studies the motion of a test particle (infinitesimal mass) in the neighborhood of the triangular point L ₄ in the framework of the perturbed relativistic restricted three-body problem (R3BP). The problem is perturbed in the sense that a small perturbation is given to the centrifugal force. It is found that the position and stability of the triangular point are affected by both the relativistic factor and a small perturbation in the centrifugal force.