Normalised distributions of cos i (left), Ω (middle), and ω (right) parameters. Orbital (solid lines, 122 989 entries) and AstroSpectroSB1 (dashed lines, 29 770 entries) solutions with P < 1000 d are shown. The orb6 solutions from the literature (3405 entries, without filter on period) are shown in grey. Left panel: the dotted line shows the empirical model defined in Sect. 3.2, which was re-scaled on the five central histogram bins. Right panel: we have suppressed the circular solutions with ω = 0.