Numerical simulation of the density distribution of the ratio rp∕vz, where rp is the distance between pair members projected on the plane of the sky and vz is their radial velocity difference (here with r = 1 and v = 1). The number of simulated pairs is N = 4000. Within statistical fluctuations, the obtained probability distribution agrees well with the theoretical expectation (red continuous line, Eqs. (11) and (12)). In the case of circular orbits, the velocity and radial vectors are orthogonal, which implies rp ∕vz ≥ r∕v (see text), i.e., rp∕vz ≥ 1 in this figure. That achieves a clear signature of circular orbits, for which the left part of the figure (rp ∕vz < 1) below the sharp peak of the rp∕vz PDF is expected to be empty.
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