On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure

Abstract

The purpose of this work is to shed some light on the dynamics of the equilateral restricted four-body problem with equally massed radiating bodies. The positions along with the linear stability of the coplanar equilibria are determined by using numerical methods. Specifically, we conduct a rigorous and systematic analysis for elucidating the influence of the mass parameter $m_3$ and the radiation pressure factor $q$ on the dynamics of the system. Our results indicate that these two parameters are very influential in the equilibria of the system.