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We measure the recoil velocity as a function of spin for equal-mass,highly-spinning black-hole binaries, with spins in the orbital plane, equal inmagnitude and opposite in direction. We confirm that the leading-order effectis linear in the spin and the cosine of angle between the spin direction andthe infall direction at merger. We find higher-order corrections that areproportional to the odd powers in both the spin and cosine of this angle.Taking these corrections into account, we predict that the maximum recoil willbe 3680+-130 km/s.

Modeling maximum astrophysical gravitational recoil velocities