This book is a monograph discussing the relative equilibrium points of restricted three body problem, when the eccentricity of the orbits of the two primary bodies of the model is taken into consideration. That is the model is Elliptic restricted three body problem. We explore the effect of oblateness of the primaries and drag forces due to radiating bodies on the existence, position and stability of the equilibrium points of this problem. Two binary systems: Luyten-726 and Sirius and one planetary system: Sun-Jupiter are studied for observing the analytic numerical treatment of the model.