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We revisit the scenario of small-mass-ratio (q) black-hole binaries;performing new, more accurate, simulations of mass ratios 10:1 and 100:1 forinitially nonspinning black holes. We propose fitting functions for thetrajectories of the two black holes as a function of time and mass ratio (inthe range 1/100 < q < 1/10$) that combine aspects of post-Newtoniantrajectories at smaller orbital frequencies and plunging geodesics at largerfrequencies. We then use these trajectories to compute waveforms via black holeperturbation theory. Using the advanced LIGO noise curve, we see a match of~99.5% for the leading (l,m)=(2,2) mode between the numerical relativity andperturbative waveforms. Nonleading modes have similarly high matches. We thusprove the feasibility of efficiently generating a bank of gravitationalwaveforms in the intermediate-mass-ratio regime using only a sparse set of fullnumerical simulations.

Intermediate-mass-ratio black hole binaries II: Modeling Trajectories and Gravitational Waveforms