Abstract
•We treated the elliptic RTBP including some perturbations.•We computed the perturbed locations of triangular points.•We revealed that the triangular equilibrium points are strongly perturbed.•The stability/instability regions change nonlinearly with eccentricity.
In this work, the author aims to make a substantial extension to the work developed by Abd El-Salam (2015). This model has been amended with photogravitational effects and three different kinds of dissipation forces, namely the simple nebular drag, the Poynting–Robertson drag (in brief PR) and nebular gas (Stokes) drag. It is observed that at certain values of the considered perturbing parameters, the triangular equilibrium points are strongly perturbed, especially when the mass loss of the primary is q=0.5. In this case, the triangular equilibrium points will be found very far from the barycenter. Also, the L4, 5 locations are highly perturbed when the eccentricity becomes high. The change in the stability and instability regions with different considered perturbations is investigated. It seems that if the eccentricity is increased then, the stability regions is enlarged. It is revealed that we have two disjoint stability regions. For the very high eccentricities e ∈ [0.9, 0.908], we have stability region for the whole domain of the mass ratio except in the neighborhood of μ=0.3. Different regions of stability, asymptotic stability and instability are revealed due to some specific values of photogravitational effects.