Figure 4

(A) Dependence of the semi-major axis at the first TDE, a0, on the orbital frequency at the second TDE, normalized by the orbital frequency at the first TDE, for
. The blue and red solid lines show a0 if the time difference between the first and second TDEs is given by 10 and 50 years, respectively (see equation 8). The black dashed line shows the tidal disruption radius rt below which the binary can be regarded as a single black hole (see equation 1). (B) Dependence of the decoupling radius on black hole mass. The red, blue and black dashed lines show the decoupling radius, fiducial semi-major axis, and tidal disruption radius, respectively.