Chaotic Orbits in a Restricted Three-Body Problem: Numerical Experiments and

We start with a special case of the restricted three-body problem in which the infinitesimal particle moves on a straight line through the center of mass of two rotating bodies. We study numerically the effect of a small perturbation on the dynamics of the infinitesimal particle. The resulting motion mixes characteristics of the planar three-body problem and of oscillatory motions. Key words: Three-body problem; numerical simulations of chaotic systems. PACS: Primary 45.50.Jf; Secondary 05.45.Pq