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Do binaries in clusters form in the same way as in the field?
Authors:Richard J Parker  Simon P Goodwin  Pavel Kroupa  M B N Kouwenhoven
Institution:Department of Physics and Astronomy, University of Sheffield, Sheffield, S3 7RH;Argelander Institut für Astronomie, Universität Bonn, Auf dem Hügel 71, 53121 Bonn, Germany
Abstract:We examine the dynamical destruction of binary systems in star clusters of different densities. We find that at high densities  (104– 105 M pc?3)  almost all binaries with separations  >103  au are destroyed after a few crossing times. At low densities     ], many binaries with separations  >103  au are destroyed, and no binaries with separations  >104  au survive after a few crossing times. Therefore, the binary separations in clusters can be used as a tracer of the dynamical age and past density of a cluster.
We argue that the central region of the Orion nebula cluster was ~100 times denser in the past with a half-mass radius of only 0.1–0.2 pc as (i) it is expanding, (ii) it has very few binaries with separations  >103  au and (iii) it is well mixed and therefore dynamically old.
We also examine the origin of the field binary population. Binaries with separations  <102  au are not significantly modified in any cluster, therefore at these separations the field reflects the sum of all star formation. Binaries with separations in the range  102– 104  au are progressively more and more heavily affected by dynamical disruption in increasingly dense clusters. If most star formation is clustered, these binaries must be overproduced relative to the field. Finally, no binary with a separation  >104  au can survive in any cluster and so must be produced by isolated star formation, but only if all isolated star formation produces extremely wide binaries.
Keywords:methods: N-body simulations  binaries: general  stars: formation  open clusters and associations: general
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