Motion around L4,5 in the relativistic R3BP with smaller triaxial primary

Abstract

This paper deals with the triangular points $L_{4,5}$ of the relativistic restricted three-body problem (R3BP) when the smaller primary is assumed triaxial. It is noticed that the locations and stability of the triangular points are affected by both relativistic and triaxiality pertubations. It can be easily seen that the range of stability region of these points is reduced by the effects of relativistic and triaxiality factors and more especially decreases with the increase of triaxiality factor.