Numerical exploration of the motion of variable mass test particle on the perturbed circular restricted three-body configuration

Abstract

This paper represents analytical and numerical investigations of the motion properties of a test particle having a variable mass according to Jeans’ law and subject to the influence of a heterogeneous primary having $N$ layers of different densities of a part and a second body producing a modified Newton potential on the other hand. We also assume that the whole system is perturbed by Coriolis force and centrifugal force. The equations of motion that we derive, are used to determine the locations of equilibrium points, Poincaré surfaces of section, basins of attraction as well as to study questions related to the stability of equilibrium points.