Perturbed locations and stability of the Triangular equilibrium points in the multi-dissipative photogravitational triaxial elliptic RTBP

TL;DR

This paper analyzes how perturbations affect the locations and stability of triangular equilibrium points in a complex three-body problem with multiple dissipative and photogravitational effects, revealing nonlinear stability behaviors.

Contribution

It introduces a detailed analysis of the perturbed locations and stability regions of triangular points in a multi-dissipative photogravitational elliptic RTBP, considering various eccentricities and parameters.

Findings

Certain perturbing parameters eliminate or displace triangular points.

Stability regions expand with increasing eccentricity.

Two disjoint stability regions merge at specific eccentricities.

Abstract

The multi-dissipative photogravitational triaxial elliptic restricted three body problem is treated. The perturbed locations of triangular points are computed. The stability of the triangular points under changing one or more perturbing parameter is investigated. The results revealed that at certain values of the considered perturbing parameters, we haven't triangular equilibrium points, or at least there exists but very far from the origin. The change in the stability/instability regions with eccentricity seems to be nonlinear. It seems that increasing the eccentricity the enlarge the stability regions and vice versa. It is revealed that we have two disjoint stability regions. The stability/instability regions for a new set of eccentricities are merged to one region. Consider a very high eccentricity stability region for the whole domain of the mass ratio except in the neighborhood of 0.3 is obtained. stability/asymptotic stability/instability regions due to certain photogravitational effects correspond are revealed.