Approximating solar/stellar structure without a computer

Statistics – Computation

Scientific paper

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Computational Astrophysics, Solar Interior, Stellar Interiors, Stellar Structure, Astronomical Models, Computer Techniques, Differential Equations, Main Sequence Stars, Stellar Mass

Scientific paper

The purpose of this paper is to offer a method for the approximate solution of the stellar interior equations (SIE) which determine the structure of a star. It is intended to avoid the use of a computer for a first approximation thereby saving valuable computer time. New dimensionless variables are developed which are dependent upon the SIE and are substituted into a simple series expansion. The values for pressure, temperature, mass, etc., per shell within the star are derived in this way. The obtained model is compared to a standard computer model and is found to be rather agreeable. The model developed is for the present sun.

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