The present paper studies the motion of an infinitesimal mass around a stellar primary and triaxial secondary moving around each other in the elliptic orbits about their common center of mass in the neighbourhood of Collinear equilibrium points. The location and stability of the collinear points are found to be affected by the radiation pressure and triaxility parameters. The nature of stability, however, remains unchanged. The collinear points L1 and L2 are unstable in the Lyapunov sense. But, the collinear point L3 shows a stable behavior for small values of radiation and triaxiality parameters.
celestial mechanics, collinear points, elliptical restricted three body problem, stability, oblateness, rigid body
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