EFFECT OF PERTURBATION IN THE CORIOLIS FORCE ON THE STABILITY OF L4,5 IN THE RELATIVISTIC R3BP

Abstract

An investigation of motion of a test particle near the triangular points L4,5 in the restricted three-body problem (R3BP) when a small perturbation is given to the Coriolis force within the framework of the post-Newtonian approximation is carried out. It is seen that there is no explicit effect of this perturbation on the positions of triangular point, whereas the relativistic factor has. We also observe that the stability region is affected by both the relativistic factor and a small perturbation in the Coriolis force. It is also found that both the coordinates of triangular points are affected by the mass ratio μ, contrary to the classical case where only the abscissa is affected.