Non-Linear Cosmology of Globular Cluster Systems around Galaxies
Keywords:systems of globular star clusters, gravitational instabilities, pulsation model of self-gravitating system, cosmology of globular clusters
The formation of systems of globular star clusters around galaxies has been studied in the framework of a nonlinear-nonstationary model of collapsing galaxies. Instabilities of the model with respect to four perturbation modes are analyzed, with the mode order determining the average number of clusters in the system. Critical diagrams for the dependence of the initial value of the virial ratio on the rotation degree of collapsing model are plotted. The instability growth rates are calculated, and the obtained instability parameters are compared.
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