 Polytropic mass-radius relation

ID: polytropic-mass-radius-relation

Eliminating central density from the Lane-Emden scalings gives

R \propto K^{n / (3 - n)} M^{(1 - n) / (3 - n)}

for

n \neq = 3

. In particular,

R \propto K M^{- 1/3}

for

n = 3/2

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