Mean Stellar Temperature

This study presents a simplified theoretical model of a main sequence star, assuming uniform density and a state of hydrostatic equilibrium. By integrating the fundamental equation of hydrostatic balance with the ideal gas law, a universal analytical formula is derived for estimating the average internal temperature of such stars. The research provides a mathematical framework to approximate stellar temperatures and explores the functional dependence of temperature on core physical parameters, specifically stellar mass and radius. The results offer a simplified yet robust approach for tracing stellar evolution characteristics in an introductory astrophysical contex