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Fig. 19

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Best-fit solution of the complete Adelaide population to the magnitude limit H = 20 and its comparison to the observed population. Left panel: the broken power-law model ℳ2 with three adjustable parameters (Hbreak, γ1, γ2). The best-fit values (red star in Fig. 20) are: Hbreak = 18.78, γ1 = 2.08, and γ2 = 0.47, and the corresponding . Right panel: the broken power-law model ℳ3 with five adjustable parameters (Hbreak,1, Hbreak,2, γ1, γ2, γ3). The best-fit values are: Hbreak,1 = 18.57, Hbreak,2 = 19.04, γ1 = 2.41, γ2 = 1.00, and γ3 = 0.34, and the corresponding . The green symbols are the currently known population of Adelaide family members from all surveys, the open black circles are the members detected during the phase 2 of CSS . The red line is the complete model , the blue line is the biased model (; the solid part of the blue line has objects, the same as the number of detected objects beyond the branching magnitude , the dotted part is the continuation of the biased population not used for the least-squares fitting in Eq. (2)).

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