Flow pattern in the poloidal plane (“side view”) for the fiducial parameters in MKBM23. We set f_cent = 0.03 (see Figure 13 for f_cent = 1/3). For illustrative purposes, the CPD (blue region) ends at r = ξR_Hill with ξ = 0.4 (R. G. Martin et al. 2023), with the region inside R_cent = f_centR_Hill highlighted (dark blue). We plot implicitly the exact solution of the orbit equation (solid lines) and the small-θ₀ solution (dashed red lines; pale for θ₀ > 30°). The green–yellow line is the θ₀ = 20° streamline from MKBM23, which is close to the θ₀ = 15° streamline at our r₀ = R_Hill. Streamlines starting closer to the midplane are shown thicker to remind the reader of the density stratification (Equation (10)). The gray arc near R_Hill displays the height of the CPD (90° − θ_CPD), and we will assume that there is in fact no inflow over those θ₀ (Sections 2.2 and 2.3).