Abstract

The objects of study are irregular galaxies and the corresponding systems of globular clusters (GCS). The purpose of this article is to compile a list of irregular galaxies containing GCS and find a statistical relationship between the physical parameters. Additionally, let’s aim to develop a method for constructing a non-stationary theory of their origin. It is noteworthy that only a limited number of results from observational data on the study of GCS in irregular galaxies have been published before. It has been identified 23 instances of GCS around irregular galaxies through observations. Based on observational data, lists of irregular galaxies containing the GCS were compiled. Im-type irregular galaxies are found to contain the largest number of GCS. Primarily, GCS are observed in Im-, Sm-, and dIr-type galaxies. The average number of clusters is dominated by Sm-type galaxies. In addition, dwarf irregular galaxies contain few clusters, and the absolute magnitude of their parent galaxies is smaller.
 Empirical relationships between the parameters of GCS and their parent galaxies are established. A linear dependence of the logarithm of the number of globular clusters in the system on the absolute magnitude of the host galaxy has been found. The study demonstrates that as the number of globular clusters increases, the mass of the host galaxy shows a linear growth. Additionally, a potential approach to the GCS origin theory has been explored in irregular galaxies by analyzing oscillation modes against the background of the collapse model

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