Phase-space structure of ﹩{D}_{{JJ}}^{\mathrm{RR}}/{J}_{{\rm{c}}}^{2}﹩, shown as a color map on a logarithmic scale. Diffusion by RR is faster than two-body or non-resonant relaxation (NR) in a limited region of phase space (solid black contours), which is far from the region where gravitational wave emission dominates the orbital evolution (dashed contour). The orbits of S-stars observed in the Galactic center (Gillessen et al. 2017; red circles), lie in the RR-dominated region. Orbits beyond the relativistic loss-cone, ﹩{J}_{\mathrm{lc}}=4{{GM}}_{\bullet }/c﹩ (solid red line), are short-lived. Solar mass stars will tidally disrupt if their orbital pericenter distance is smaller than ﹩{r}_{{\rm{t}}}={({M}_{\bullet }/{M}_{\odot })}^{1/3}{R}_{\odot }﹩ (Alexander & Bar-Or 2017; dashed red line). The cusp’s parameters are the same as in Figure 1.