Defining eccentricity for spin-precessing binaries
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912614451249152 |
|---|---|
| author | Shaikh, Md Arif Varma, Vijay Ramos-Buades, Antoni Pfeiffer, Harald P. Boyle, Michael Kidder, Lawrence E. Scheel, Mark A. |
| author_facet | Shaikh, Md Arif Varma, Vijay Ramos-Buades, Antoni Pfeiffer, Harald P. Boyle, Michael Kidder, Lawrence E. Scheel, Mark A. |
| contents | Standardizing the definition of eccentricity is necessary for unambiguous inference of the orbital eccentricity of compact binaries from gravitational wave observations. In previous works, we proposed a definition of eccentricity 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 \texttt{gw\_eccentricity}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08345 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Defining eccentricity for spin-precessing binaries Shaikh, Md Arif Varma, Vijay Ramos-Buades, Antoni Pfeiffer, Harald P. Boyle, Michael Kidder, Lawrence E. Scheel, Mark A. General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Standardizing the definition of eccentricity is necessary for unambiguous inference of the orbital eccentricity of compact binaries from gravitational wave observations. In previous works, we proposed a definition of eccentricity 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 \texttt{gw\_eccentricity}. |
| title | Defining eccentricity for spin-precessing binaries |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2507.08345 |