The analytical solution of the stellar interior equations for approximating stellar and protostellar structure

Statistics – Computation

Scientific paper

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Computational Astrophysics, Protostars, Stellar Interiors, Stellar Structure, Analytic Functions, Main Sequence Stars

Scientific paper

This work presents an analytical solution of the Stellar Interior Equations (SIE) in order to approximate the structure of a star. Herein we model the gradients of mass, pressure, temperature, and luminosity for a Main-Sequence star, such as the Sun. Also presented is an analytical method for approximating the hydrostatic core of a protostellar structure. The methods derive dimensionless variables from the SIE which are then used to solve 'linearly approximate' equations, which are expanded about an initial point. The results are in good agreement with standard computer studies in existence (at least for the present Main-Sequence Sun).

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