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Related papers: Hereditary Effects in Eccentric Compact Binary Ins…

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[Abridged] Binary black holes may form and merge dynamically. These binaries are likely to become bound with high eccentricities, resulting in a burst of gravitational radiation at their point of closest approach. When such a binary is…

General Relativity and Quantum Cosmology · Physics 2024-11-25 Isobel M. Romero-Shaw , Nicholas Loutrel , Michael Zevin

The most general bound binary black hole (BBH) system has an eccentric orbit and precessing spins. The detection of such a system with significant eccentricity close to the merger would be a clear signature of dynamical formation. In order…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Khun Sang Phukon , Nathan K. Johnson-McDaniel , Amitesh Singh , Anuradha Gupta

The angular momentum flux from an inspiralling binary system of compact objects moving in quasi-elliptical orbits is computed at the third post-Newtonian (3PN) order using the multipolar post-Minkowskian wave generation formalism. The 3PN…

General Relativity and Quantum Cosmology · Physics 2010-04-30 K. G. Arun , Luc Blanchet , Bala R. Iyer , Siddhartha Sinha

Observations of astrophysical binaries may reveal departures from pure Keplerian orbits due to environmental influences, modifications to the underlying gravitational dynamics, or signatures of new physics. In this work, we develop a…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Rajes Ghosh , R. Prasad , Kabir Chakravarti , Prayush Kumar

The instantaneous contributions to the 3PN gravitational wave luminosity from the inspiral phase of a binary system of compact objects moving in a quasi elliptical orbit is computed using the multipolar post-Minkowskian wave generation…

General Relativity and Quantum Cosmology · Physics 2009-11-13 K. G. Arun , Luc Blanchet , Bala R. Iyer , Moh'd S. S. Qusailah

The generalized post-Keplerian parametrization for compact binaries on eccentric bound orbits is established at second post-Newtonian (2PN) order in a class of massless scalar-tensor theories. This result is used to compute the…

General Relativity and Quantum Cosmology · Physics 2025-04-21 David Trestini

We derive analytical expressions for the change in the orbital eccentricity of a binary following a distant encounter with a third star on a hyperbolic or parabolic orbit. To establish the accuracy of these expressions, we present detailed…

Astrophysics · Physics 2015-06-24 Douglas C. Heggie , Frederic A. Rasio

We investigate new optical effects of nonlinear gravitational waves that arise from hereditary effects. Firstly, we show that the amplitude of continuous plane waves has a hereditary effect that grows with distance. This can make the…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Yu-Qiang Liu , Yu-Qi Dong , Yu-Xiao Liu

This work is the first in a series of studies aimed at understanding the dynamics of highly eccentric binary neutron stars, and constructing an appropriate gravitational-waveform model for detection. Such binaries are possible sources for…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Huan Yang , William E. East , Vasileios Paschalidis , Frans Pretorius , Raissa F. P. Mendes

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…

General Relativity and Quantum Cosmology · Physics 2021-12-02 Adrian S. Hamers

Several scenarios have been proposed in which the orbits of binary black holes enter the band of a gravitational wave detector with significant eccentricity. To avoid missing these signals or biasing parameter estimation it is important…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Neil J. Cornish , Joey Shapiro Key

Orbital eccentricity in compact binaries is considered to be a key tracer of their astrophysical origin, and can be inferred from gravitational-wave observations due to its imprint on the emitted signal. For a robust measurement, accurate…

General Relativity and Quantum Cosmology · Physics 2024-12-11 Alice Bonino , Patricia Schmidt , Geraint Pratten

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 investigate a family of integrals involving modified Bessel functions that arise in the context of neutrino scattering. Recursive formulas are derived for evaluating these integrals and their asymptotic expansions are computed. We prove…

Classical Analysis and ODEs · Mathematics 2015-11-26 Jeremiah Birrell

Dense stellar systems such as globular clusters are believed to harbor merging binary black holes (BHs). The evolution of such binaries is driven by interactions with other stars, most notably, binary-single interactions. Traditionally,…

High Energy Astrophysical Phenomena · Physics 2019-07-31 Adrian S. Hamers , Johan Samsing

Resolving the formation channel(s) of merging binary black holes is a key goal in gravitational-wave astronomy. The orbital eccentricity is believed to be a precious tracer of the underlying formation pathway, but is largely dissipated…

High Energy Astrophysical Phenomena · Physics 2024-10-02 Giulia Fumagalli , Isobel Romero-Shaw , Davide Gerosa , Viola De Renzis , Konstantinos Kritos , Aleksandra Olejak

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

In this study, we begin by revisiting the oscillatory behavior of radiative quantities-energy, angular momentum, and linear momentum-linked with initial eccentricities in binary black hole (BBH) mergers. By varying the mean anomaly $l_0$…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Hao Wang , Yuan Chuan Zou , Qing Wen Wu

We present simple procedures to construct quasi-circular initial data for numerical evolutions of binary black hole spacetimes. Our method consists of using Post-Newtonian theory in three ways: first to provide an initial guess for the…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Antoni Ramos-Buades , Sascha Husa , Geraint Pratten

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