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Paper: Fractal Properties of Hierarchical Star Clusters
Volume: 316, Order and Chaos in Stellar and Planetary Systems
Page: 189
Authors: Surdin, V.
Abstract: It is shown that hierarchical star clusters (H-clusters) containing tens of components may exist in the Galaxy. The number of stars (N) in ε Lyrae-type hierarchical systems is limited by the tidal action of regular gravitational field of the Galaxy and stochastic encounters with giant molecular clouds. In principle, the existence of H-clusters with N = 256 ÷ 512 is possible. But in fact, we can expect to find these systems with N ≤ 16 in the recent astrometric surveys. Maximum fractal dimension of the simple stable H-cluster is D = 0.3 ÷ 0.4, which is much less than the fractal dimension of molecular clouds (D = 2.3 ÷ 2.5). This may be the reason of rare formation of high populated H-systems.
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