Empirical correlations between globular cluster parameters and mass function morphology

Mathematics – Functional Analysis

Scientific paper

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Astronomical Photometry, Functional Analysis, Globular Clusters, Mass Distribution, Abundance, Galactic Evolution, Luminosity, Metallicity, Star Formation

Scientific paper

A sample of 14 galactic globular clusters with deep CCD luminosity functions is analyzed for the dependence of the mass-function slopes on physical parameters. It is demonstrated that the previously suggested dependence of the mass-function power-law index on metallicity is not supported. A strong correlation between the mass-function power-law index and the distance from the galactic disk is determined, though no clear explanation is found. It is established that the present-day mass functions (PDMF) differ from cluster to cluster significantly, and there is a better-defined dependence of PDMF slopes on the position of the clusters with respect to the galactic gravitational potential.

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