= Endpoint limits of power-law spherical accretion
The dimensionless accretion factor $(1-q\delta)^{q-1/\delta}$ tends to $e^q$ as $\delta\to0$. For $q>0$, it tends to $1$ as $\delta\uparrow1/q$, although the <sonic point> moves to the origin. Writing the latter logarithm as $-qh\ln h/(1-h)$ makes the finite limit transparent. These limits connect <transonic spherical accretion rate in a power-law potential> to the <isothermal equation of state> and the limiting critical <adiabatic exponent>.
Back to article page
