Fig. 7.

Elbow plot showing the surface number density as a function of separation on the sky. The black dashed line shows the original Gaia data sample, the black solid line shows the cross-matched, that is, initial, catalog after the C1 and 2-σC2 are applied. We fit the elbow part of the diagram obtaining a slope value −1.7 ± 0.05. The gray data points and the DM slope are from Simon (1997) having a smaller field of view by using the HST. The gray line is the Duquennoy & Mayor (1991) distribution of binary stars of G-type primaries that has been reformulated to the number density Σ by Gladwin et al. (1999) (their Eq. (5)). The vertical lines (from left to right) are the resolution limit of Gaia DR2, the resolution limit of OmegaCAM, respectively, the first red line shows (1 × 103 au) as the definition of wide binaries, and the last line shows the start of the Elbow feature (3 × 103 au). The color histograms are constructed for central circular regions (see Fig. 8) to see how the potential of detection of wide binaries changes with the chosen spatial region.
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