Location and stability of the triangular points in the triaxial elliptic restricted three-body problem

TL;DR

This paper investigates how the locations and stability of triangular points in the elliptic restricted three-body problem are affected by triaxiality and orbital eccentricity, including the analysis of nearby periodic orbits.

Contribution

It extends the classical three-body problem by considering triaxial primaries and analyzes the effects on point locations and stability regions.

Findings

Locations are influenced by triaxiality and eccentricity.

Stability regions depend on perturbations.

Periodic orbits near triangular points are characterized.

Abstract

The main goal of the present paper is to evaluate the perturbed locations and investigate the linear stability of the triangular points. We studied the problem in the elliptic restricted three body problem frame of work. The problem is generalized in the sense that the two primaries are considered as triaxial bodies. It is found that the locations of these points are affected by the triaxiality coefficients of the primaries and the eccentricity of orbits. Also it is observed that the stability regions depend on the involved perturbations. In addition to this we studied the periodic orbits in the vicinity of the triangular points.