Restricted problem of three bodies with Newtonian plus Yukawa potential

摘要

Trajectories of the third body in the Restricted Problem of Three Bodies including a Yukawa term to the Newtonian gravitational potential are analyzed. It is shown that this modified gravitational potential changes some important aspects of the Restricted Problem of Three Bodies. Depending of coupling constant alpha, motions obtained in the pure Newtonian case are qualitatively different when Yukawa. term is included. Depending of coupling parameters alpha, the nature of dynamics change from regular to chaotic (alpha < 0) or from chaotic to regular (alpha > 0) and in both cases using the same length scales lambda.