Critical Bondi accretion rate for gamma equals five thirds
= Critical Bondi accretion rate for gamma equals five thirds
For an adiabatic gas with $\gamma=5/3$, asymptotic density $\rho_0$, and sound speed $v_{s0}$ accreting onto a Newtonian point mass $M$, the largest globally subsonic steady rate is
$$
\dot M_{\rm crit}=\frac{\pi\rho_0(GM)^2}{v_{s0}^3}.
$$