Lie Series Solution for Photogravitational Elliptic Restricted Three Body Problem

Abstract

In this paper we have undertaken the study of systems with both radiating primaries in the frame work of elliptic restricted three body problem where the orbits of the two massive bodies about each other is assumed to be elliptic and the mass of the third body is negligible. In order to determine the problem's solution, we expand the formulation of the iterative expression for the Lie series terms. The impact of the primaries' radiation pressure on the orbit is depicted graphically in the Lie series solution of triangular equilibrium point L₄.