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Table 4.

Hardening rates and merger times of SMBH binaries.

Property A.1 A.2 A.3 B C
s12 2.30 2.92 3.20 400.66 7.76
H12 7.8 11.3 6.5 4.5 3.4
tc, 12 in Myr 2680 1489 1450 694( * ) 2058

s12 − 3 0.54 0.47 286.96
H12 − 3 2.8 1.0 4.1
tc, 12 − 3 in Myr 16 466 18 341 1224

Final galaxy merger 625 610 623 280

Notes. ( * )Merger occurred during simulation; The stellar hardening rates s are given in kpc−1 Myr−1, H is dimensionless, and the projected coalescence time tc is given in Myr after the start of the simulation. The top block displays these quantities for the final BH1–BH2 binaries. The middle block displays these quantities for the final BH3 orbit, i.e. for the hierarchical triple in A.2 and A.3 and for the orbit of BH3 around the BH1–BH2 remnant in B. The bottom line displays the time of the final galaxy merger in Myr after the start of the simulation.

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