Standardizing the definition of eccentricity is necessary for unambiguous inference of the orbital eccentricity of compact binaries from gravitational wave observations. In [Ramos-Buades+ 2022, Shaikh+ 2023], a definition of eccentricity was proposed for systems without spin-precession that relies solely on the gravitational waveform, is applicable to any waveform model, and has the correct Newtonian limit. In this work, we extend this definition to spin-precessing systems. This simple yet effective extension relies on first transforming the waveform from the inertial frame to the coprecessing frame, and then adopting an amplitude and a phase with reduced spin-induced effects. Our method includes a robust procedure for filtering out spin-induced modulations, which become non-negligible in the small eccentricity and large spin-precession regime. Finally, we apply our method to a set of Numerical Relativity and Effective One Body waveforms to showcase its robustness for generic eccentric spin-precessing binaries. We make our method public via Python implementation in gw_eccentricity.
Zoom Link: https://icts-res-in.zoom.us/j/99196583928?pwd=EZo08pE6hAXESRCPEf5NOsv58kpd3B.1
Meeting ID: 991 9658 3928
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