Derives the 4PN conservative map between constants of motion and fundamental frequencies for eccentric orbits, resummed over eccentricity and validated against circular-orbit and self-force results.
Dall’Amico, M
7 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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Polynomial models for the (2,2) post-merger waveform amplitudes of eccentric non-spinning binary black holes are constructed from numerical-relativity data as functions of symmetric mass ratio and two merger-time dynamical parameters.
New non-orbit-averaged 2.5PN equations for eccentric non-spinning black-hole binaries derived via energy-momentum mappings, showing Peters 1964 orbit-averaged equations break at first pericenter.
Bayesian inference on LVK O1-O3 events with eccentric aligned-spin waveforms yields log10 Bayes factors of 1.77-4.75 favoring eccentricity for GW200129, GW190701 and GW200208_22, and >99.5% probability that at least one of 57 events is eccentric under an astrophysically motivated rate prior.
Reduces elliptic triple outcome model to one free parameter, matches N-body simulations except at low angular momentum, and finds observably eccentric merger fractions of 2.6-4.4% in 10^5-10^7 solar mass clusters.
Implements consistent line-of-sight acceleration corrections in quasi-circular and eccentric GW waveform models, applies them to GWTC-3 events, and reports no substantial evidence for acceleration while warning of bias from inconsistent harmonic treatment.
Eccentric BBH signals recovered with quasi-circular precessing models show biases in chirp mass and χ_p; Bayes factors favor eccentric aligned-spin models when both eccentricity and precession are present.
citing papers explorer
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Highly eccentric non-spinning binary black hole mergers: quadrupolar post-merger waveforms
Polynomial models for the (2,2) post-merger waveform amplitudes of eccentric non-spinning binary black holes are constructed from numerical-relativity data as functions of symmetric mass ratio and two merger-time dynamical parameters.
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Intermediate States in Chaotic Triple Evolution and Applications to Black Hole Merger Statistics
Reduces elliptic triple outcome model to one free parameter, matches N-body simulations except at low angular momentum, and finds observably eccentric merger fractions of 2.6-4.4% in 10^5-10^7 solar mass clusters.
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Line-of-sight acceleration in compact binaries with higher harmonics and eccentricity
Implements consistent line-of-sight acceleration corrections in quasi-circular and eccentric GW waveform models, applies them to GWTC-3 events, and reports no substantial evidence for acceleration while warning of bias from inconsistent harmonic treatment.