Ready-to-use Fourier domain templates for compact binaries inspiraling along moderately eccentric orbits

摘要

We derive analytic expressions that provide the Fourier domain gravitationalwave (GW) response function for compact binaries inspiraling along moderately eccentric orbits. These expressions include amplitude corrections to the two GW polarization states that are accurate to the first post-Newtonian (PN) order. Additionally, our fully third post-Newtonian (3PN)-accurate GW phase evolution incorporates eccentricity effects up to sixth order at each PN order. Further, we develop a prescription to incorporate analytically the effects of the 3PN-accurate periastron advance in theGWphase evolution. This is how we provide a ready-touse and efficient inspiral template family for compact binaries in moderately eccentric orbits. PreliminaryGW data analysis explorations suggest that our template family should be required to construct analytic inspiralmerger- ringdown templates to model moderately eccentric compact binary coalescence.