Perturbed R3BP with Logarithmic Potential

Abstract

This paper investigates the dynamical behavior of the effects of perturbations on the motion of infinitesimal body in the restricted three-body problem (R3BP) with logarithmic potential where both spherical primaries are taken as source of radiation pressure and third infinitesimal body is considered as variable mass according to Jeans law. We also have taken the effects of coriolis and centrifugal forces. For further investigations, we derive the equations of motion of the infinitesimal body where we get the effective variation due to parameters. Furthermore, we numerically illustrate some analysis of potential function, the locations of equilibrium points, trajectories allocations, surfaces of section, regions of motion and basins of attraction. Finally, the stability examination is done for the equilibrium points using Meshcherskii space-time inverse transformations.