Stellar structure and evolution with polytropic approach

Abstract

It is generally believed that understanding of the formation, structure and evolution of stars and stellar systems remains a prerequisite for understanding the whole world more broadly speaking including the universe. Consequently, there is an overall progress in astronomy and astrophysics, over wide range, from observational work to complex theoretical developments. So, this encouraging progress in astronomy today has becoming the center of attention and research. However, the theory of stellar formation and evolution is incomplete in the very fundamental aspects. Theoretical works and observational searches are still raw. The full understanding of the dynamics of stellar structure and evolution requires a complete analysis of the dynamics and key parameters involving in the evolutionary process. Motivated by this scientific rationale, we have worked out on the structure of stellar evolution theoretically by polytropic approach, which works fine with main sequence stars as literatures reveals. The appropriate polytropic equation was being derived from Boltzmann transport equation where a series of integral homology transformations were used. The analytically derived equations were used to generate numerical solutions in analyzing the structures of the stars of this kind. The result is well fit with the present standard models.