Equilibrium structure of differentially rotating and tidally distorted polytropic gaseous spheres

Abstract

In this paper we propose a method for computing the equilibrium structure and various physical parameters of differentially rotating and tidally distorted polytropic stars. The law of differential rotation has been assumed to be in the form of ω(s) = (∑3<inf>i=1</inf> a<inf>i</inf>e-bis2)1/2. The proposed method utilizes the averaging approach of Kippenhahn and Thomas and concepts of Roche- Equipotential in a manner earlier used by Mohan et al. to incorporate the effects of differential rotation and tidal distortion on the equilibrium structure of polytropic stellar models. The inner structure and various physical parameters of differentially rotating and tidally distorted polytropic models with various polytropic indices have been computed with suitable combination of the parameters. The local stability criterion has also been used for different stellar models with suitable combination of parameters.