Histograms of the angular separation in right ascension (upper panel) and declination (lower panel) between the Tycho-2 and the closest 2MASS counterpart, after correcting the 2MASS coordinates for Tycho-2 proper motion. The vertical dashed lines indicate the maximum separation allowed for a reliable cross-match, 3σρα = 0.69 arcsec in right ascension, and 3σρδ = 0.78 arcsec in declination.
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