The degree of applicability of King's law for star density distribution to the globular clusters M 12, M 56, and NGC 6535

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Density Distribution, Globular Clusters, Star Distribution, Distribution Functions, Main Sequence Stars, Stellar Magnitude, Subgiant Stars

Scientific paper

The degree of applicability of King's law to the visible star density distribution for the three globular clusters M12, M56, and NGC 6535 is investigated, using the data of star counts down to different limiting star magnitudes B. It is shown that this law describes well the density distribution only in the case of M12, but not in all other cases. It occurs that the parameters rc (the core radius) and rt (the tidal radius of the cluster) depend on the limiting magnitude B of the star counts below the transient region between the subgiants branch and the main-sequence turn-off on the (B, B-V) diagram for these clusters. The B-dependence of these parameters is similar to the one for the spatial zone radii (introduced by Kholopov) in the cluster.

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