Statistical comparison of clouds and star clusters

Lomax, Oliver David ORCID: https://orcid.org/0000-0002-1641-4318, Whitworth, Anthony Peter ORCID: https://orcid.org/0000-0002-1178-5486 and Cartwright, Annabel 2011. Statistical comparison of clouds and star clusters. Monthly Notices of the Royal Astronomical Society 412 (1) , pp. 627-633. 10.1111/j.1365-2966.2010.17935.x

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Abstract

The extent to which the projected distribution of stars in a cluster is due to a large-scale radial gradient, and the extent to which it is due to fractal substructure, can be quantified – statistically – using the measure Graphic. Here Graphic is the normalized mean edge length of its minimum spanning tree (i.e. the shortest network of edges connecting all stars in the cluster) and Graphic is the correlation length (i.e. the normalized mean separation between all pairs of stars). We show how Graphic can be indirectly applied to grey-scale images by decomposing the image into a distribution of points from which Graphic and Graphic can be calculated. This provides a powerful technique for comparing the distribution of dense gas in a molecular cloud with the distribution of the stars that condense out of it. We illustrate the application of this technique by comparing Graphic values from simulated clouds and star clusters.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Publisher:	Oxford University Press
ISSN:	0035-8711
Last Modified:	15 Mar 2023 16:09
URI:	https://orca.cardiff.ac.uk/id/eprint/69590

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