Evolution with time of the BH relative velocity (left panel) and the BHL radius (right panel) for 4 different resolutions. The vertical lines show, for each simulation, the point where the BH deceleration reaches 0.09 km s⁻¹ Myr⁻¹ and the BHL radius about 4.5Δx. The dashed and dotted horizontal lines in the right panel represent respectively BHL radius equal to r_BHL = 1.5Δx and r_BHL = 4.5Δx. In the simulation where the BHL radius is unresolved (Res0.62pc), BH deceleration is very inefficient. In Res0.31pc, where the BHL radius is resolved after 120 Myr, we see at the same time that the BH starts to decelerate faster, with a second increase in deceleration occurring when r_BHL = 4.5 at t = 240 Myr. As the resolution increases and the BHL radius is resolved with more elements (Res0.16pc and Res0.08pc) the effect of dynamical friction becomes more pronounced.