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Massive Perturbers and the Efficient Merger of Binary Massive Black Holes

  • Authors: Hagai B. Perets and Tal Alexander

Perets & Alexander 2008 The Astrophysical Journal 677 146.

  • Provider: AAS Journals

Caption: Fig. 3.

Dependence of the mean dimensionless extracted energy, ﹩\overline{C}_{\mathrm{eff}\,}=\overline{C}\left(Q,\zeta _{\mathrm{eff}\,}\right)﹩ (eq. [B14]) for ﹩Q=1﹩, on the point of origin of the deflected star, ﹩r_{\star }/ a_{s}﹩, for different stages of the BMBH evolution, ﹩a/ a_{s}﹩ (indicated by the numbers adjacent to the lines), taking into account the acceleration in the Galactic potential. The dashed horizontal line at the top is the asymptotic value of ﹩\overline{C}_{\mathrm{eff}\,}﹩ in the hard limit (﹩a/ a_{s}\rightarrow 0﹩). The dash‐dotted line is the value of ﹩\overline{C}﹩ for the case ﹩a/ a_{s}=1﹩, when the Galactic potential is neglected. The vertical lines indicate the BMBH’s radius of dynamical influence, ﹩r_{h}﹩, and the inner cutoff of the MP distribution, ﹩r_{\mathrm{MP}\,}﹩. Most of the stars are deflected toward the BMBH from ﹩r_{\star }\gtrsim r_{\mathrm{MP}\,}﹩.

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