Theoretical detection rates with respect to M_* and the parallax. We varied the mass and the sma of the companion according to the column and row labels. White regions show the M_* and the parallax for which the probability of companion detection is less than 10%; darker green regions show a probability of detection of >20%,>50% and >99%. The dashed lines show the M_*-parallax relations at the limiting magnitudes of G=3 and G=16 derived from Pecaut & Mamajek (2013) tables. Similar figures are obtained considering only ruwe or PMa in Appendix G, in respectively Fig. G.1 and G.2.