Libration points for ER3BP with triaxial and radiating bodies and numerical integration using Lie series

This paper examines the Elliptic Restricted Three Body Problem (ER3BP) in which the primaries are triaxial radiating bodies. Using both analytical and numerical techniques, the problem’s planar equilibrium locations were obtained. For specific triaxiality values, it was found that there are more than five classically identified equilibrium locations. Additionally, a comparison of the equilibrium points’ positions as determined analytically and numerically was conducted. In order to determine the problem’s solution, the formulation of the iterative expression for the Lie series terms was expanded in the final section. The impact of the primaries’ triaxiality on the orbit is depicted graphically in the Lie series solution of triangular equilibria.