The Schoenberg-Chandrasekhar limit - A polytropic approximation

Astronomy and Astrophysics – Astrophysics

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Polytropic Processes, Stellar Cores, Stellar Evolution, Stellar Models, Stellar Structure, B Stars, Degenerate Matter, Mass Distribution, Stellar Envelopes, Stellar Mass

Scientific paper

The existence of a maximum isothermal core mass fraction (qmax), the Schoenberg-Chandrasekhar limit, is one of the "classic" results from the theory of stellar structure. This limit can be demonstrated through a simplified composite polytrope model in which an isothermal core is surrounded by an n = 1 polytrope envelope. While this model underestimates qmax by ≡25% in the homogeneous case, it is accurate to within 5% in the more realistic inhomogeneous situation.

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