Residual eccentricity of inspiralling orbits at the gravitational-wave detection threshold: Accurate estimates using post-Newtonian theory

@article{Tucker2021ResidualEO,
  title={Residual eccentricity of inspiralling orbits at the gravitational-wave detection threshold: Accurate estimates using post-Newtonian theory},
  author={Alexandria Tucker and Clifford M. Will},
  journal={Physical Review D},
  year={2021}
}
We use equations of motion containing gravitational radiation-reaction terms through 4.5 postNewtonian order to calculate the late-time eccentricities of inspiraling binary systems of non-spinning compact bodies as they cross the detection threshold of ground-based gravitational-wave interferometers. The initial eccentricities can be as large as 0.999. We find that the final eccentricities are systematically smaller than those predicted by the leading quadrupole approximation, by as much as 30… 
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Inferring eccentricity evolution from observations of coalescing binary black holes

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