A Gauss-Hermite Expansion of the Galactic Globular Cluster Luminosity Function

Details A Gauss-Hermite Expansion of the Galactic Globular Cluster Luminosity Function A Gauss-Hermite Expansion of the Galactic Globular Cluster Luminosity Function

1994-07-15

arxiv.org/abs/astro-ph/9407053v1

Astrophys.J. 438 (1995) 218

Astronomy and Astrophysics

Astrophysics

14 pages LaTeX To appear in January 1995 Astrophysical Journal DAO940701

Scientific paper

10.1086/175065

We decompose the luminosity function of Galactic globular clusters into a sum of the orthogonal Gauss-Hermite functions. This method quantifies the asymmetric third-order ($h_3$) and symmetric fourth-order ($h_4$) terms of the distribution while minimizing the effect of outliers in the data. For 138 Galactic globulars we obtain $=-7.41\pm0.11$, $\sigma(M_V)=1.24$ mag, $h_3=0.02\pm 0.05$, and $h_4=0.06 \pm 0.05$, {\em i.e.\/} the core of the distribution does not differ significantly from a Gaussian. For a low-metallicity subsample of 103 globular clusters with $[Fe/H]<-0.8$, we find $=-7.48\pm0.11$, $\sigma(M_V)=1.08$ mag, $h_3=0.05 \pm 0.05$, and $h_4=0.13 \pm 0.05$.

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