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Fig. 2.

image

Upper left: same CMD as in Fig. 1, but with color coding indicating the brightness (see lower right color bar); the same color code is used in all other panels. Upper right: spatial distribution of the M 13 validation sample. The cluster core, half-light radius (1.69 arcmin), and tidal radius (21 arcmin) are represented by a black star, red circle, and black-dashed line, respectively. We emphasize that the tidal radius together with ϖ and vr were the only selection criteria applied to investigate proper motion systematic errors (main text). Middle panels: absolute (left) and relative (right) deviation in proper motion of the sample from the cluster mean value. Lower panel: squared Mahalanobis distance, M2, from proper motions only versus projected distance from the cluster center. In analogy to the 1σ, 2σ, and 3σ significances of a normal distribution, dash-dotted, dashed, and dotted lines represent the corresponding p-values (see legend). The red line denotes the scaling relation introduced in Eq. (4).

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