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PhD Thesis (PDF) - Department of Astronomy - University of Virginia

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Fig. 6.5.— Scatter plot <strong>of</strong> estimated GC size (rh,cor) versus GC magnitude (Z850),<br />

where the symbols follow that <strong>of</strong> Figure 6.1. Overlaid are lines <strong>of</strong> constant binary<br />

encounter rate that decrease by 0.5 dex starting at log Γh = 9.0 (lower left). The<br />

Galactic version <strong>of</strong> this plot for V -band is displayed in BIS+2006, Figure 3. GCs<br />

with larger encounter rates are more likely to contain LMXBs.<br />

are more likely to contain LMXBs, then the Γh we calculate will underpredict the<br />

binary interaction rate for GCs with LMXBs. We plot rh,cor versus Z850 for GCs<br />

in our sample, overlaying lines <strong>of</strong> constant Γh, in Figure 6.5 for comparison with<br />

BIS+2006, Figure 3.<br />

6.2.4 Matching LMXBs And GCs<br />

To determine the relative astrometry between CXO and HST observations for each<br />

galaxy, we convolved the X-ray and optical positions with a σ = 0. ′′ 5 2-dimensional<br />

Gaussian, and cross-correlated the two images with an <strong>of</strong>fset in RA and Dec. The<br />

249

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