Set-up of the satellite orbital plane and internal spin. In a reference frame with an xy-plane coincident with the MW-disc plane and z-axis oriented as the spin of the MW-type galaxy, the spatial orientation of the satellite orbital plane is defined by two angles, θ_orb and φ_orb. The former defines the angle between the intersection of the orbital plane with the xy-plane and the x-axis (red line and area in the top panel), the latter defines the angle between the intersection of the orbital plane with the xz-plane and the x-axis (orange line and area in the bottom panel). Similarly, the angles θ_sat and φ_sat, indicating the spatial orientation of the satellite spin, can be defined (yellow and green lines and areas, respectively, in the top and bottom panels.)