I've begun a study of the sun's interior and Emden's equation. Yet nowhere on the web does anyone divulge how to calculate the core radius or the inner core variables. One thing I did was to suppose a homologous polytropic core ( n = 3 ) with:(adsbygoogle = window.adsbygoogle || []).push({});

epsilon = energy generation rate

mean epsilon = L / M

rho = density

mean rho = M / V

so I postulated the homology:

epsilon (center) / epsilon (mean) = rho (center) / rho (mean) = eta

This immediately leads to results that closely match one computer model I found, with

core radius = .2643 R = eta^(-1/3) R,

but my approach seems ad hoc. Any help?

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# Radius of solar core

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