Table 1.
Initial conditions.
| Property | Initial distribution | Interval |
|---|---|---|
| m1, m2, m3 | Population synthesis | [5, 60] M⊙ |
| a | Log-normal distribution | [max(aej, agw), ahard] |
| e | Thermal distribution | [0, 1] |
| f | Hut & Bahcall (1983) | [ − π, π] |
| v∞ | Maxwellian distribution | – |
| b | Uniform in b2 | [0, bmax] |
| D | 103 a | – |
| ψ | Uniform | [0, 2π] |
| θ | Uniform in cos θ | [ − 1, 1] |
| ϕ | Uniform | [0, 2π] |
| χ1, χ2, χ3 | Maxwellian distribution | [0, 1] |
| χ1, χ2, χ3 | Isotropic spin orientation | – |
Notes. Column 1: initial conditions: mass of the primary and secondary BH in the initial binary (m1 and m2), mass of the single BH (m3), semi-major axis (a), orbital eccentricity (e), orbital phase of the binary (f), initial relative velocity between the single BH and the BBH (v∞), impact parameter (b), initial distance (D) of the intruder from the binary centre of mass, three directional angles of the interaction (ψ, θ, and ϕ), spin magnitude (χ1, χ2, and χ3), and direction of the three BHs (χ1, χ2, and χ3). Column 2: the distribution that we used to sample the initial conditions. For the masses, we used the output of the population synthesis code MOBSE (Mapelli et al. 2017; Giacobbo et al. 2018). Column 3: the interval that we considered for each distribution.
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