The out-of-plane libration points in ER3BP with radiation of the smaller primary, triaxiality of both primaries surrounded by a BELT

Abstract

The paper investigates the motion of an infinitesimal particle near the out-of-plane equilibrium points in the elliptic restricted three body problem (ER3BP) when the primaries are triaxial rigid bodies with the smaller primary a source of radiation and surrounded by a belt. It is observed that there exist two out-of-plane equilibria which lie in the ξζ- plane in symmetrical positions with respect to the orbital plane. The parameters involved in the system affect their positions. The position changes with an increase in triaxiality, radiation and belt. The position and stability of the out-of-plane equilibrium points are investigated numerically using two binary systems (Xi-Bootis and Kruger 60) and they are found to be unstable.