Collinear libration points in the elliptic restricted three body problem (ER3BP) under radiating and triaxial primaries with gravitational potential from the belt

Abstract

This paper examines the effects of radiation pressure and triaxiality of two stars (primaries) surrounded by a belt (circumbinary disc) on the positions and stability of a third body of an infinitesimal mass in the neighbourhood of collinear libration points in the framework of elliptic restricted three body problem (ER3BP).We have found the solutions to the location of collinear points Li (i = 1,2,3).We have investigated these collinear points numerically and graphically using radiating binary system (FL virginis and Procyon).The positions and stability of these points are found to be affected by triaxiality, radiation and the gravitational potential from the belt. The collinear libration points are found to be unstable.

Keywords

• ER3BP
• Triaxiality
• Radiation
• Circumbinary disc
• Stability
• Collinear points