Analytical formula (see text) vs. numerical simulation of the density distribution of the product , where rp is the distance between pair members projected on the plane of the sky and vz is their radial velocity difference. This combination of variable is essential for the statistical determination of the total mass of the pair. The product is plotted here for r = 1 and v = 1, i.e., the plotted variable is actually . The number of simulated pairs is N ≈ 10 000. Within statistical fluctuations, the obtained probability distribution agrees well with the theoretical expectation (red line, Eq. (20)).
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