Azimuthally averaged mass flux, , as a functionof altitude, z. Each panel shows each result obtained from analysis of a series of simulations labelled in the upper-right corner. Each solid line represents the changes of ; altitude is varied along with the Bondi radius (blue) of the planet; with the Hill radius (orange); with twice the Bondi radius (green); with twice the Hill radius (red). The correspondences of each solid lineare shown in the lower right legend of panel f. The figures displayed at the lower right of panels a–c are an enlarged view of a specific area in each panel. Gas flows in where and flows out where , respectively. Black dashed line corresponds to where inflow and outflow are balanced. We assume substantial inflow and outflow occur in the area where mass flux is dominant; i.e. gas mainly flows in and out of the Bondi or Hill sphere of the planet, depending on which is smaller. We note that the scale of the vertical axis is the same, but the horizontal axis is different for each panel.