The dynamical friction and diffusion coefficients are derived for a massive binary that moves against a uniform background of stars. The random impulses exerted on the binary's center of mass by the field stars are greater than those exerted on a point particle due to inelastic scattering. The factional force acting on the binary is less than that acting on a point particle due to randomization of the trajectories of field stars that pass near the binary. Both effects tend to increase the random motion of a binary compared with that of a point mass. If the maximum effective impact parameter for gravitational encounters is comparable to the radius of gravitational influence of the binary, its Brownian velocity can be increased by a modest factor (?2) compared with that of a single particle. This condition is probably fulfilled in the case of binary supermassive black holes in galactic nuclei.
CITATION STYLE
Merritt, D. (2001). Brownian Motion of a Massive Binary. The Astrophysical Journal, 556(1), 245–264. https://doi.org/10.1086/321550
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