Empty and full loss-cone capture rates (${\Gamma }_{\mathrm{empty}}\sim \frac{N}{t_{\mathrm{rel}}\log (1/{\mathcal{R}}_{\mathrm{lc}})},{\Gamma }_{\mathrm{full}}\sim \frac{N{\mathcal{R}}_{\mathrm{lc}}}{P}$)

Here ${\mathcal{R}}_{\mathrm{lc}}=J_{\mathrm{lc}}^2/J_c^2$ is the orbital loss cone fraction, $P$ an orbital period, and $t_{\mathrm{rel}}$ a stellar relaxation time. When angular diffusion per orbit is small relative to the cone, a steady two-dimensional diffusion solution is logarithmic and gives the empty-cone flux. Rapid refilling maintains an approximately isotropic full cone and gives the second rate. Numerical total rates need a stellar density and orbital-energy distribution, not merely a star count.