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Table 1

Statistics of the Gaia Universe Model Snapshot GUMS (Robin et al. 2012).

G G range N w G P G ∗ ,min P G ∗ ∗ ,min
[mag] [mag] [106 stars]

13 12.5–13.5 10 0.0092
14 13.5–14.5 24 0.0223
15 14.5–15.5 38 0.0351
16 15.5–16.5 71 0.0660
17 16.5–17.5 125 0.1167
18 17.5–18.5 183 0.1713
19 18.5–19.5 377 0.3526
20 19.5–20.0 243 0.2268

Notes. N denotes the number of objects in the model in each magnitude bin (not to be confused with NG which denotes the number of simulated objects in magnitude bin G); wG denotes the relative, normalised weight of each bin, such that ; P∗ ,min and P∗ ∗ ,min denote the minimum-required detection probabilities for single and double stars, respectively (Eq. (16)). The square root indicates that P refers to either the high- or the low-frequency detection probability; the final detection probability is the logical AND (i.e., the product) of these probabilities.

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