A numerical study of the influence of the Poynting-Robertson effect on the equilibrium points of the photogravitational restricted three-body problem. I. Coplanar case.

Existence and stability of equilibrium points for particles moving in the vicinity of two massive bodies which exert light radiation are studied numerically. The dynamical system formed is described by means of the photogravitational circular restricted three-body model which includes the relativistic components of the radiation force constituting the Poynting-Robertson effect. The differential equations expressing this model are presented. The relations determining the positions of the coplanar equilibrium points, as well as the linear system governing their stability are produced and studied numerically. The results are discussed and presented in graphical and tabular form.