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An improved numerical fit to the peak harmonic gravitational wave frequency emitted by an eccentric binary

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arxiv 2111.08033 v2 pith:Z63LPGSC submitted 2021-11-15 gr-qc astro-ph.HE

An improved numerical fit to the peak harmonic gravitational wave frequency emitted by an eccentric binary

classification gr-qc astro-ph.HE
keywords binaryeccentricemittedfrequencygravitationalharmonicnumericalpeak
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

I present a numerical fit to the peak harmonic gravitational wave frequency emitted by an eccentric binary system in the post-Newtonian approximation. This fit significantly improves upon a previous commonly-used fit in population synthesis studies, in particular for eccentricities $\lesssim 0.8$.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Eccentric Stellar-mass Binary Black Holes: Population, Detectability, and Waveform Analysis in the LISA and LIGO Era

    astro-ph.HE 2026-05 unverdicted novelty 5.0

    Simulations of dynamically formed eccentric stellar-mass BBHs predict dozens of LISA-detectable sources in the Milky Way, hundreds of low-SNR extragalactic mHz sources, a merger rate of ~9 Gpc^{-3} yr^{-1}, and potent...

  2. Eccentric Stellar-mass Binary Black Holes: Population, Detectability, and Waveform Analysis in the LISA and LIGO Era

    astro-ph.HE 2026-05 unverdicted novelty 5.0

    Simulations of dynamical channels predict ~36 eccentric stellar-mass BBHs detectable by LISA in the Milky Way at SNR>1 over 10 years, a local merger rate of ~9 Gpc^{-3} yr^{-1}, and hundreds of faint extragalactic mHz...

  3. PRECESSION 2.1: black-hole binary spin precession on eccentric orbits

    gr-qc 2025-08 unverdicted novelty 4.0

    Version 2.1 of the precession code extends post-Newtonian modeling of spinning black-hole binaries to eccentric orbits via a decorator-based adaptation and new evolutionary equations.