Critical mass from a virial pressure turning point (source code)

= Critical mass from a virial pressure turning point
{title2=$M_{\rm crit}=(15c_s^2/4G)^{3/2}\sqrt{3/(4\pi\bar\rho)}$}

Eliminate cloud radius using its <mean density> and the critical radius $r_c=4GM/(15c_s^2)$. The displayed threshold scales as $T^{3/2}\bar\rho^{-1/2}$ at fixed mean particle <mass>. Equivalently, the maximum confining <pressure> is $10125c_s^8/(1024\pi G^3M^2)$. The numerical coefficient depends on the assumed <density> profile and on whether the <density> refers to the mean or the boundary.