Distribution of the offsets in measured values of RV and of v sin i for a population of binary stars using the binary distribution parameters described in Sect. 2.4, a luminosity-mass relation of L ∝ M3 and a true v sin i = 20 km s-1. The black line shows the distribution assuming all stars are unresolved binaries. The solid histogram shows the actual probability distribution of Δv sin i> 0 for a random distribution of targets with an initial binary fraction of 0.5 and where targets showing an offset ΔRV > 5 km s-1 are excluded from the distribution since they would not be classified as cluster members (see Sect. 2.4).
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