Fig. 2.

Expected number of solar-system equivalents formed per million years in the Galaxy for clusters with a virialized (q = 1) Plummer density distribution. The calculations are performed in a grid of ten in mass (between 900 stars and 104 stars) and radius (between 0.1 pc and 4.0 pc). The sum of the phase-space distances for each cluster is convolved with the star-cluster birth function in mass and radius, the probability of hosting a star of at least 20 M⊙ (see Sect. A.5), and assuming a star-formation rate of 1 M⊙ yr−1 (Robitaille & Whitney 2010). For the cluster-birth mass function we use a Schechter function with α = 1, β = −2.3 and mbreak = 2 × 105 M⊙ (Schechter 1976). For the cluster size distribution we adopt a log-normal distribution with rmean = 5 pc and σ = 3 pc (van den Heuvel & Portegies Zwart 2013).
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