Steady Keplerian accretion disk with an inner torque (source code)

= Steady Keplerian accretion disk with an inner torque
{title2=$\bar\nu\Sigma=\frac{\dot M}{3\pi}[1+(\lambda-1)\sqrt{r_{\rm in}/r}]$}

For a positive inner <magnetic torque> $T_m$, define $\lambda=T_m/(\dot M h_{\rm in})$. Integrating steady <conservation of angular momentum> gives $\mathcal G=T_m+\dot M(h-h_{\rm in})$. With <Keplerian rotation>, this determines the <surface density of a disk> in the displayed formula.