Effects of Variable Mass, Disk-Like Structure, and Radiation Pressure on the Dynamics of Circular Restricted Three-Body Problem

TL;DR

This study explores how variable mass, radiation pressure, and disk-like structures influence the dynamics and stability of equilibrium points in the circular restricted three-body problem, revealing shifts and stability conditions.

Contribution

It introduces the combined effects of radiation, variable mass, and disk-like structures into the classical three-body problem, analyzing their impact on equilibrium points and stability.

Findings

Equilibrium points shift from the x-axis due to combined effects.

Triangular equilibrium points are stable if mass ratio is below a critical value.

Stability of triangular points depends on time.

Abstract

In this paper, we intend to investigate the dynamics of the Circular Restricted Three-Body Problem. Here we assumed the primaries as the source of radiation and have variable mass. The gravitational perturbation from disk-like structure are also considered in this study. There exist five equilibrium points in this system. By considering the combined effect from disk-like structure and the mass transfer, we found that the classical collinear equilibrium points depart from x-axis. Meanwhile, this combined effect also breaks the symmetry of tringular equlibrium point positions. We noted that the quasi-equilibrium points are unstable whereas the triangular equilibrium points are stable if the mass ratio $\mu$ smaller than critical mass $\mu_c$. It shows that the stability of triangular equilibrium points depends on time.