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Related papers: Post-Circular Expansion of Eccentric Binary Inspir…

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Although the gravitational waves observed by advanced LIGO and Virgo are consistent with compact binaries in a quasi-circular inspiral prior to coalescence, eccentric inspirals are also expected to occur in Nature. Due to their complexity,…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Blake Moore , Travis Robson , Nicholas Loutrel , Nicolas Yunes

Analytic modeling of gravitational waves from inspiraling eccentric binaries poses an interesting mathematical challenge. When constructing analytic waveforms in the frequency domain, one has to contend with the fact that the phase of the…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Nicholas Loutrel

Inspiraling compact binaries with non-negligible orbital eccentricities are plausible gravitational wave (GW) sources for the upcoming network of GW observatories. In this paper, we present two prescriptions to compute post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Sashwat Tanay , Maria Haney , Achamveedu Gopakumar

We build two families of inspiral waveforms for precessing binaries on eccentric orbits in the Fourier domain. To achieve this, we use a small eccentricity expansion of the waveform amplitudes in order to separate the periastron precession…

General Relativity and Quantum Cosmology · Physics 2018-11-29 Antoine Klein , Yannick Boetzel , Achamveedu Gopakumar , Philippe Jetzer , Lorenzo de Vittori

While current gravitational wave observations with ground based detectors have been consistent with compact binaries in quasi-circular orbits, eccentric binaries may be detectable by ground-based and space-based instruments in the near…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Blake Moore , Nicolás Yunes

[abridged] Although gravitational radiation causes inspiralling compact binaries to circularize, a variety of astrophysical scenarios suggest that binaries might have small but nonnegligible orbital eccentricities when they enter the…

General Relativity and Quantum Cosmology · Physics 2016-06-30 Blake Moore , Marc Favata , K. G. Arun , Chandra Kant Mishra

The space-based detector LISA may observe gravitational waves from the early inspiral of stellar-mass black hole binaries, some of which could have significant eccentricity. Current gravitational waveform templates are only valid for small…

General Relativity and Quantum Cosmology · Physics 2019-09-16 Sashwat Tanay , Antoine Klein , Emanuele Berti , Atsushi Nishizawa

The inspiral and merger of supermassive black hole binary systems with high orbital eccentricity are among the promising sources of the advanced gravitational wave observatories. In this paper we derive analytic ready-to-use first…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Balázs Mikóczi , Péter Forgács , Mátyás Vasúth

In this work, we developed analytic asymptotic methods for computing the Fourier modes of gravitational waves from post-Newtonian binary systems in the quasi-Keplerian parametrization in the high eccentricity regime. We have also derived…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Xiaolin Liu , Zhoujian Cao

Compact binary sources that emit gravitational waves (GW) are expected to be both spinning and on eccentric orbits. No closed-form expression for the phasing of GWs are available to date that contain information from both spin and…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Omkar Sridhar , Soham Bhattacharyya , Kaushik Paul , Chandra Kant Mishra

Eccentric binaries are key targets for current and future gravitational wave (GW) detectors, offering unique insights into the formation and environments of compact binaries. However, accurately and efficiently modeling eccentric waveforms…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Gonzalo Morras

We obtain analytical gravitational waveforms in the frequency-domain for precessing, quasi-circular compact binaries with small spins, applicable, for example, to binary neutron star inspirals. We begin by calculating an analytic solution…

General Relativity and Quantum Cosmology · Physics 2013-10-01 Katerina Chatziioannou , Antoine Klein , Nicolas Yunes , Neil Cornish

Compact binaries that emit gravitational waves in the sensitivity band of ground-based detectors can have non-negligible eccentricities just prior to merger, depending on the formation scenario. We develop a purely analytic,…

General Relativity and Quantum Cosmology · Physics 2014-10-15 E. A. Huerta , Prayush Kumar , Sean T. McWilliams , Richard O'Shaughnessy , Nicolas Yunes

We introduce pyEFPEHM, a post-Newtonian (PN) inspiral waveform model for eccentric and spin-precessing compact binaries that includes higher-order modes and matter effects. Accurate and efficient waveform models capturing these effects are…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Gonzalo Morras , Geraint Pratten , Patricia Schmidt , Alessandra Buonanno

The population of stellar-mass, compact object binaries that merge with non-negligible eccentricity may be large enough to motivate searches with ground-based gravitational wave detectors. Such events could be exceptional laboratories to…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Nicholas Loutrel , Nicolas Yunes , Frans Pretorius

Eccentricity of binary systems is not a gauge invariant quantity, but has an important impact on the observed gravitational wave signal of such systems, generating power in all possible harmonics of the orbital period. We here clarify the…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Nicholas Loutrel , Samuel Liebersbach , Nicolas Yunes , Neil Cornish

We use equations of motion containing gravitational radiation-reaction terms through 4.5 post-Newtonian order to calculate the late-time eccentricities of inspiraling binary systems of non-spinning compact bodies as they cross the detection…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Alexandria Tucker , Clifford M. Will

In this study, gravitational waveforms emitted by inspiralling compact binary systems on quasicircular orbits in hybrid metric-Palatini gravity are computed in the lowest post-Newtonian approximation. By applying the stationary phase…

General Relativity and Quantum Cosmology · Physics 2025-07-28 P. I. Dyadina

We derive analytic expressions that provide Fourier domain gravitational wave (GW) response function for compact binaries inspiraling along moderately eccentric orbits. These expressions include amplitude corrections to the two GW…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Srishti Tiwari , Gopakumar Achamveedu , Maria Haney , Phurailatapam Hemantakumar

For proposed third-generation gravitational-wave detectors such as the Einstein Telescope and Cosmic Explorer, whose sensitive bands are proposed to extend down to 5 Hz or below, the signals of low-mass compact binaries such as binary…

Instrumentation and Methods for Astrophysics · Physics 2024-07-23 Anson Chen , Nathan K Johnson-McDaniel
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