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We examine whether massive binary black holes in spherically symmetric bulgesof galaxies can achieve coalescence through the emission of gravitationalradiation under the action of stellar dynamical processes alone. In particular,we address the importance of the Brownian motion of a binary's center-of-massto its continued interaction with stellar orbits that allows it to keephardening: the restoring force holding the binary at the center decreases as itdepletes the central stellar density, causing the amplitude of wandering toincrease. We use an analytical model and N-body simulations to calculate thetime required to reach the gravitational-radiation dominated stage. We findthat a substantial fraction of all massive binaries in galaxies can coalescewithin a Hubble time.Comment: 22 pages, 4 figures, submitted to Ap

Effects of Wandering on the Coalescence of Black Hole Binaries in Galactic Centers