Influences of variant mass on the structures of differentially rotating and tidally distorted polytropes

Abstract

A systematic way is proposed to determine the balanced structures, equilibria and numerous physical parameters of differentially rotating polytropic stars taking into the account of the influences of mass variation within the stars. It is assumed that stellar bodies are differentially rotating and a nearby point mass is assumed to be responsible for tidal distortion. The concepts of Roche-Equipotential and K-T averaging method are utilized to include the special effects of mass disparity on the equilibria of polytropic stellar models having differential rotation and influenced by tidal force. Mathematical expressions are also obtained and as well as evaluated using appropriate technique todetermine the equipotential surfaces, volume, surface area etc.