The minimum detectable core radius of star clusters

Details The minimum detectable core radius of star clusters The minimum detectable core radius of star clusters

May 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...445..221s&link_type=abstract

The Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 445, no. 1, p. 221-226

Astronomy and Astrophysics

Astrophysics

6

Brightness Distribution, Cores, Detection, Globular Clusters, Minimal Surfaces, Radial Distribution, Star Distribution, Luminosity, Normal Density Functions, Poisson Density Functions, Sampling, Standard Deviation, Statistical Analysis

Scientific paper

Sampling errors limit the minimum detectable core radius of centrally condensed star clusters. A formalism is developed for calculating minimum detectable core radii which apply even to images of arbitrarily high resolution. The relative advantage of star counts over brightness profiles is analyzed in terms of typical cluster luminosity functions. The analysis considers the effects of detector limitations, dynamical evolution and image postprocessing on these errors. For a typical cusp globular cluster (such as NGC 7099 or M15 at a distance of 10 kpc), the minimum detectable core radius is approximately equal to 0.004 pc approximately equal to 0.1 arcsecs (from star counts) or approximately equal to 0.12 pc approximately equal to 2.8 arcsecs (from brightness profiles).

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