Density plots showing the satellites’ initial positions in the NB models. Top panels: face-on (left) and edge-on (right) views of the fully symmetric model with four satellites of the same mass that follows an extended NFW density profile. Central panels: face-on (left) and edge-on (right) views of a fiducial model, where satellites lie in a plane as an approximation model to the VPS plane. Bottom panels: face-on (left) and edge-on (right) views of one of the models in our N-body ensemble that follows the distribution of the satellites in the MW and the VPS plane structure; see Sect. 3.4 for details. Labels are consistent with the results showed in Fig. 6, where H stands for the host’s central density.