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Fig. D.1

image

Time evolution of the core radius (rc) and central density (ρc) for our cluster models. The central density and core radius are averaged over 0.5, 5, 50, and 500 Myr for t < 5 Myr, 5 Myr < t < 50 Myr, 50 Myr < t < 500 Myr, and t > 500 Myr, respectively. The error bars show the run-to-run variations. Each symbol indicates known star clusters near the Solar System: the present-day Pleiades, Praesepe, and Hyades, the other planet-hosting clusters (diamonds: Piskunov et al. 2007), open clusters (OC) with mass of 102 < M < 103 M (circles: Piskunov et al. 2007), embedded clusters (EC; squares: Lada & Lada 2003; Figer 2008; Pfalzner 2009), and youngmassive clusters (YMC; triangles: Portegies Zwart et al. 2010). Following Pfalzner (2009), we use for observed open clusters. We use the average separation from the cluster center given in Figer (2008) as rc because the two values are comparable (Portegies Zwart et al. 2010). For embedded clusters, we consider the observed radii as their cluster sizes. We therefore adopt the half-mass radius as the radius for our embedded cluster model.

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