Statistical boundaries for open clusters

Astronomy and Astrophysics – Astronomy

Scientific paper

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Open Clusters, Star Distribution, Statistical Analysis, Density Distribution, Size (Dimensions)

Scientific paper

A procedure is presented for estimating the size and population of an open cluster based on a determination of star counts within entire circles of a radius in the plane of projection for the cluster and for surrounding fields. The method is applied to several familiar clusters, and is graphically compared to the method using the apparent distribution of star density with respect to distance from the cluster center. The computed cluster parameters are also compared with values obtained by other authors. It is concluded that, using the presented method, the true size and number of members in an open star cluster can be determined to within 10 percent, provided that large-scale fluctuations in the background star density in the cluster field and the four adjacent fields have little effect on the results.

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