Illustration of the allowed 3σ range of the companion mass for all stars from Table 1 for which the derived upper mass limit from Hipparcos corresponds to less than 85 M_Jup, i.e. for all 84 stars for which the substellar nature could be confirmed by Hipparcos. The lower mass limit usually corresponds to the lower mass limit m₂   sini from the radial velocity fit, except for the few cases where the astrometry yields a tighter lower mass limit by excluding the inclination of 90° from the 3σ confidence region (HD 87883 b, HD 114783 b and γ Cep b). The upper mass limit always comes from the Hipparcos astrometry, according to Table 1.