Gas density face-on projection and secondary BH’s trajectory (white lines) for the adiabatic run NAAD (see Table 1) at different times. A scale bar on the top left panel shows the size in pc. The color code represents the disk density integrated along the z-axis (perpendicular to the disk plane), which rotates counter-clockwise in this perspective. Trajectories are shown for time intervals between snapshots. In the top left panel, we see a leading spiral wake caused by the BH near an apocenter as a perturbation to the disk density. In the top right panel, a trailing wake is captured near a pericenter. The net effect of the wakes over a few orbits is to circularize the orbit. The lower left panel shows a resonant interaction between the BH and the gas as the orbit becomes circular. After circularizing, the gas extracts its angular momentum and the separation shrinks in a relatively short timescale, as clearly captured on the bottom right panel. The interplay between perturber and background is analogous to results found in the literature for planet migration.