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Fig. 21.

image

Power-law index γ of the mass ratio distribution with dN/dq ∝ qγ for different masses. The squares represent the fits of the overall population of multiple systems by Duchêne & Kraus (2013). The diamonds are the results for tight binaries (smaller separations than average) and the down-facing triangles the result for wide binaries (larger separations than average) by Duchêne & Kraus (2013). Our data is represented by a distribution with an index of −1.7 ± 0.3 (red circle). If the companion stars follow the IMF of Chabrier (2003), the index of q is equal to the index of the IMF with γ = −2.3 ± 0.3, for companions with masses 1 ≤ mcomp ≤ mprimary. The shaded area indicates the uncertainties of the IMF.

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