For circular orbits in ultralight dark matter, the dynamical friction on a Plummer sphere is the point-probe result multiplied by the cluster's momentum-space form factor, with deviations growing at large size-to-orbit ratios and high Mach numbers.
Chandrasekhar, Dynamical Friction
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Dynamical friction in ultralight dark matter: Plummer sphere perspective
For circular orbits in ultralight dark matter, the dynamical friction on a Plummer sphere is the point-probe result multiplied by the cluster's momentum-space form factor, with deviations growing at large size-to-orbit ratios and high Mach numbers.