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Accretion studies have been focused on the flow around bodies with point massgravitational potentials, but few general results are available for non-pointmass distributions. Here, we study the accretion flow onto non-divergent, corepotentials moving through a background medium. We use Plummer and Hernquistpotentials as examples to study gas accretion onto star clusters, dwarf andlarge galaxy halos and galaxy clusters in a variety of astrophysicalenvironments. The general conditions required for a core potential tocollectively accrete large quantities of gas from the external medium arederived using both simulations and analytic results. The consequences of largemass accumulation in galaxy nuclei, dwarf galaxies and star clusters aretwofold. First, if the gas cools effectively star formation can be triggered,generating new stellar members in the system. Second, if the collectivepotential of the system is able to alter the ambient gas properties before thegas is accreted onto the individual core members, the augmented mass supplyrates could significantly alter the state of the various accreting stellarpopulations and result in an enhanced central black hole accretion luminosity.

External Mass Accumulation onto Core Potentials: Implications for Star Clusters, Galaxies and Galaxy Clusters