Polytropic vertical structure in stellar gravity
= Polytropic vertical structure in stellar gravity
{title2=$T=T_0(1-z^2/H^2),\quad\rho\propto T^n$}
In harmonic stellar gravity, an <ideal gas> with a <polytropic equation of state> of index $n>0$ has a quadratic <temperature> profile and finite semi-thickness $H^2=2(n+1)\mathcal R T_0/\Omega^2$. This differs from the <polytropic vertical structure of a self-gravitating disk>.