The Schoenberg-Chandrasekhar limit: A polytropic approximation |
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Authors: | Martin Beech |
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Affiliation: | (1) Astronomy Department, University of Western Ontario, London, Ontario, Canada |
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Abstract: | 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 ann=1 polytrope envelope. While this model underestimatesqmas by 25% in the homogeneous case, it is accurate to within 5% in the more realistic inhomogeneous situation. |
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