Effect of the Pseudo Mean Motion on the Dynamics of Perturbed Elliptic Restricted Three-Body Problem

Abstract

The present paper explores the linear stability of the equilibrium points in the elliptic restricted three-body problem when the more massive primary is oblate and serves as a source of radiation, while the smaller primary is a radiating body. We have investigated the linear stability of these equilibrium points and observed that the collinear ones are unstable, whereas the non-collinear equilibrium points exhibit stability. Additionally, we have analyzed the combined influence of the oblateness parameter and the radiation factors of both primaries, \({{q}_{i}}\), \(i = 1,2,\) on the position of equilibrium points. Our observations indicate that as the radiation factor \({{q}_{1}}\) of the more massive primary decreases, the number of equilibrium points increases.