A Study of the Elliptic Restricted Three-Body Problem with Triaxial and Radiating Primaries Surrounded by a Belt

Abstract

This paper examines the effects of radiation pressure and triaxiality of two stars (primaries) surrounded by a belt (circumbinarydisc)onthepositionsandstabilityofathirdbodyofaninfinitesimalmassintheframeworkoftheEllipticrestricted three body problem (ER3BP). We have obtained analytical solutions to the triangular equilibrium points and their stability and have also investigated these solutions numerically and graphically using radiating binary system (Xi- Bootis and Kruger 60). It is observed that their positions and stability are affected by semi-major axis, eccentricity of the orbit, triaxiality, radiation pressure of the primaries and potential from the belt. The perturbed parameters show the destabilizing tendency by decreasing the range of stability. The triangular points are found to bestable for 0 < µ < µc where µc is the critical mass parameter. The stability analysis for the binary system yielded a stable outcome when we consider the range of mass parameterµ in the region of the Routhonian critical mass ratio (0.03852) when the effect of circumbinary disc is dominant. We found triaxiality and radition factors inducing instability even within this range.