The statistical Analysis of Star Clusters

Abstract

We review a range of stastistical methods for analyzing the structures of star clusters, and derive a new measure $\mathcal{Q}$ which both quantifies, and distinguishes between, a (relatively smooth) large-scale radial density gradient and multi-scale (fractal) sub-clustering. Q is derived from the normalised correlation length and the normalised edge length of the minimal spanning tree for each cluster.

References in corpus (7)

• A Census of the Young Cluster IC 348
• ISOCAM observations of the rho Ophiuchi cloud: Luminosity and mass functions of the pre-main sequence embedded cluster
• Interpreting the Mean Surface Density of Companions in Star-Forming Regions
• Very Low Mass Stars and Brown Dwarfs of the Young Open Cluster IC2391
• Star formation environments and the distribution of binary separations
• The structure of young star clusters
• The mean surface density of companions in a stellar-dynamical context

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