Approximating the inspiral of test bodies into Kerr black holes

摘要: We present a new approximate method for constructing gravitational radiation driven inspirals of test bodies orbiting Kerr black holes. Such orbits can be fully described by semilatus rectum p, an eccentricity e, and inclination angle iota, or, energy E, angular momentum component L-z, third constant Q. Our scheme uses expressions that are exact (within adiabatic approximation) the rates change ((p)over dot, (e)over (iota)over dot) as linear combinations fluxes ((E)over (L)over dot(z),(Q)over dot), but quadrupole-order formulas these fluxes. This thus encodes orbital dynamics, augmenting it with reaction. Comparing inspiral trajectories, we find this approximation agrees well numerical results special cases eccentric equatorial circular inclined orbits, far more accurate than corresponding weak-field dot). use technique to study body in inclined, orbits. should useful tools waveforms used data analysis problems future Laser Interferometer Space Antenna gravitational-wave observatory, lieu from rigorous techniques currently under development.