  Intermediate mass-ratio coalescences are potential signals of ground-based
and space-based gravitational observatories. Accurate modeling of their
waveforms within general relativity can be achieved within black hole
perturbation theory including self-force and finite size effects. In this
paper, we present analytic results to the Teukolsky perturbation of equatorial
orbits in the near-horizon region of an extremely high spin black hole
including spin coupling and finite size effects at leading order in the high
spin limit while neglecting the self-force. We detail the critical behavior
occuring close to the smallest specific angular momentum, and we discuss
features of spin and quadrupole couplings.
