Comparison of the directions of the normals to the KPPs ( n _KPP; lower block of panels in Figure 4) with the normals to positional planes ( n _pos%; identified in Paper II), for the Aq-C ^α system. The top panels show the angles both normals form with the host disk axis J _disk along cosmic time. Blue lines refer to the best positional planes involving a given fixed fraction of the total number of satellites. The different shades of these lines stand for these different fractions, as specified in the legends. The magenta lines refer to angles involving the normals to the KPPs, with number of satellites as specified in the legends. In the bottom panel the evolution of the angle formed between the kinematic normals and the positional normals is drawn.