Changes of the radial velocity in the azimuth direction at the Bondi (for m001, m005, m01, m05) or Hill radius (for m1, m2) on the midplane of the disc at t = t_end. The solid lines correspond to each analytical result obtained from each simulation. Each dashed line corresponds to the locations where ϕ = 3π∕4,  7π∕4. The radial velocity reaches its maximum value near these points after it takes the periodic oscillation. The maximum value of v_r increases with the planetary mass. Positive or negative values of v_r refer to where inflow or outflow emerges.