Motion Properties in the GPCR3BP with Their Interactions under the Effects of Variable Mass and Asteroids Belt

Abstract

The main aim of this paper is to investigate numerically the dynamical motion properties of the infinitesimal body under the various types of perturbations in generalized perturbed circular restricted three-body problem (GPCR3BP). Out of three bodies, one bigger body (known as primary) is taken as oblate in shape with radiation effects, another bigger body (known as secondary) is taken as triaxial in shape with albedo effect and the third body (known as infinitesimal body which is more smaller that the other two bigger bodies) is varying its mass. And also the perturbations due to asteroids belt, interactions between the bodies and the effects of Coriolis as well as centrifugal forces are assumed. Both primaries are moving in circular orbits around the origin which is their common center of mass also. Using the above defined perturbations, we determine the equations of motion and quasi-Jacobian integral for the infinitesimal body. We numerically perform the locations of equilibrium points (in-plane and out-of-plane), regions of motion, Poincaré surfaces of section, periodic orbits, basins of attraction and the stability of the equilibrium points.