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The motion of halo stars in dynamical numerical models of open clusters
Authors:V M Danilov
Institution:(1) Astronomical Observatory, Ural State University, pr. Lenina 51, Yekaterinburg, 620083, Russia
Abstract:Equations of motion containing a small parameter μ are derived for stars at the peripheries of open star clusters. The parameter μ is obtained for six numerical open-cluster models. The general analytical solution of these equations of motion for μ = 0 is found. An iterative method is used to derive the frequencies of the stellar motions for first-order expansions in μ of the solutions of the equations of motion for stars at the cluster periphery. Applications of the results are discussed.
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