Polytropic mass-radius relation
= 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 $n\ne3$. In particular, $R\propto KM^{-1/3}$ for $n=3/2$.
= 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 $n\ne3$. In particular, $R\propto KM^{-1/3}$ for $n=3/2$.