Effect of Dynamical Friction on the Escape of a Supermassive Black Hole Ejected from the Center of a Galaxy
We have used the impulsive approximation technique to numerically estimate the effect of dynamical friction on the motion of a supermassive black hole (mass ≃ 109M⊙) through a galaxy (mass ≃ 1011M⊙) which has recoiled from the center of the latter as a result of rocket effect (anisotropic emission of gravitational radiation or plasma emission etc.) We find the effect to be minimal for recoil taking place at a velocity larger than that of escape at the center of the galaxy. For recoil velocities less than a certain critical velocity (slightly larger than the central escape velocity), dynamical friction becomes relatively pronounced and damped oscillatory motion of the black hole in the potential well of the galaxy ensues.
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