Speaker
Description
Eccentric binary compact mergers are key targets for current and future gravitational wave observatories. In the small mass ratio expansion, post-adiabatic inspirals have been modeled up to the separatrix, where first-principles modeling currently ends. However, a complete waveform model for eccentric binaries requires an accurate description of the plunge and the transition from the inspiral to the plunge. This latter phase of the motion must be consistently matched to the late inspiral. In this presentation, I will discuss an analytical solution to the post-adiabatic equations governing the inspiral of an eccentric binary in the extreme mass ratio regime. Unlike in the quasi-circular case, these solutions feature Lambert W functions. These asymptotic 0PA equations and their solutions pave the way toward a full description of the transition to the plunge.
