Effect of oblateness on transition curves in elliptic restricted three-body problem

A study of equilibrium points of the elliptic restricted three-body problem (ER3BP) is made, when the oblate primaries of masses m1 (larger) and m2 are moving in elliptic orbits with eccentriciy e and mean motion n with their equatorial planes coincident with the plane of motion. A1 and A2 are oblateness coefficients of the primaries. The positions of the collinear and triangular equilibrium points in the rotating-pulsating frame are computed. The linear stability of the equilateral points within the region of μ-e plane, where μ = m2 /(m1+m2), is investigated by generating a transition curve which separates the stable region from the unstable region. It is observed that the oblateness of the primaries reduces the region of stability.