A NUMERICAL STUDY OF THE INFLUENCE OF THE POYNTING-ROBERTSON EFFECT ON THE EQUILIBRIUM POINTS OF THE PHOTOGRAVITATIONAL RESTRICTED 3-BODY PROBLEM .1. COPLANAR CASE
O. Ragos et Fa. Zafiropoulos, A NUMERICAL STUDY OF THE INFLUENCE OF THE POYNTING-ROBERTSON EFFECT ON THE EQUILIBRIUM POINTS OF THE PHOTOGRAVITATIONAL RESTRICTED 3-BODY PROBLEM .1. COPLANAR CASE, Astronomy and astrophysics, 300(2), 1995, pp. 568-578
Existence and stability of equilibrium points for particles moving in
the vicinity of two massive bodies which exert light radiation are stu
died numerically. The dynamical system formed is described by means of
the photogravitational circular restricted three-body model which inc
ludes the relativistic components of the radiation force constituting
the Poynting-Robertson effect. The differential equations expressing t
his model are presented. The relations determining the positions of th
e 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.