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An objective classification of the globular clusters of NGC 5128 has beencarried out by using a model-based approach of cluster analysis. The set ofobservable parameters includes structural parameters, spectroscopicallydetermined Lick indices and radial velocities from the literature. The optimumset of parameters for this type of analysis is selected through a modifiedtechnique of Principal Component Analysis, which differs from the classical onein the sense that it takes into consideration the effects of outliers presentin the data. Then a mixture model based approach has been used to classify theglobular clusters into groups. The efficiency of the techniques used is testedthrough the comparison of the misclassification probabilities with thoseobtained using the K-means clustering technique. On the basis of the aboveclassification scheme three coherent groups of globular clusters have beenfound. We propose that the clusters of one group originated in the originalcluster formation event that coincided with the formation of the ellipticalgalaxy, and that the clusters of the two other groups are of external origin,from tidally stripped dwarf galaxies on random orbits around NGC 5128 for onegroup, and from an accreted spiral galaxy for the other.

Study of NGC 5128 Globular Clusters Under Multivariate Statistical Paradigm