BiElliptic Restricted Four Body Problem

Abstract

The motion of an infinitesimal mass in the restricted four body problem is studied assuming both the orbits of motion of the three primaries to be elliptical. It is assumed that the forces governing the motion of the bodies is the mutual gravitational attractions of the primaries, however the problem is restricted in the sense that the effect of the fourth body of infinitesimal mass is assumed to be negligible. We have derived the equations of motion. The location and stability of the planar equilibrium points is studied for Sun–Earth–Moon system and graphically presented. The pulsating ZVC and the basin of attraction for the system are analyzed.