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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

Eccentricity is a parameter of particular interest as it is an informative indicator of the past of planetary systems. It is however not always clear whether the eccentricity fitted on radial velocity data is real or if it is an artefact of…

Earth and Planetary Astrophysics · Physics 2019-07-17 N. C. Hara , G. Boué , J. Laskar , J. B. Delisle , N. Unger

Astrophysical population simulations predict that a subset of dynamically formed binary black holes (BBHs) may possess eccentricity $\gtrsim 0.1$ at a gravitational wave (GW) frequency of $10 \,\text{Hz}$. Presently, the LIGO-Virgo-KAGRA…

General Relativity and Quantum Cosmology · Physics 2024-12-31 Sajad A. Bhat , Pankaj Saini , Marc Favata , Chinmay Gandevikar , Chandra Kant Mishra , K. G. Arun

We assess the detectability of the gravitational wave signals from highly eccentric compact binaries. We use a simple model for the inspiral, merger, and ringdown of these systems. The model is based on mapping the binary to an effective…

General Relativity and Quantum Cosmology · Physics 2013-02-14 William E. East , Sean T. McWilliams , Janna Levin , Frans Pretorius

Tidal dissipation due to convective turbulent viscosity shapes the evolution of a variety of astrophysical binaries. For example, this type of dissipation determines the rate of orbital circularization in a binary with a post-main sequence…

Solar and Stellar Astrophysics · Physics 2020-08-13 Michelle Vick , Dong Lai

We perform high-resolution, grid-based hydrodynamics simulations of gaseous rings viscously spreading into disks around equal-mass, circular binaries. We find that all systems suppress accretion onto the binary when the gas is relatively…

High Energy Astrophysical Phenomena · Physics 2026-05-07 Leonardo Betancourt , Andrew MacFadyen , Jonathan Zrake

Inspiralling compact binaries are expected to circularize before their gravitational-wave signals reach the sensitive frequency band of ground-based detectors. Current searches for gravitational waves from compact binaries using the LIGO…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Duncan A. Brown , Peter J. Zimmerman

This paper presents an orbital analysis of six southern single-lined spectroscopic binary systems. The systems selected were shown to have circular or nearly circular orbits (e < 0.1) from earlier published solutions of only moderate…

Solar and Stellar Astrophysics · Physics 2012-11-26 John B. Hearnshaw , Siramas Komonjinda , Jovan Skuljan , Pam M. Kilmartin

We study precession dynamics of generic binary black holes in eccentric orbits using an effective potential based formalism derived in [M. Kesden et al., PRL {\bf 114}, 081103 (2015)]. This effective potential is used to classify binary…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Khun Sang Phukon , Anuradha Gupta , Sukanta Bose , Pankaj Jain

Orbital eccentricity in gravitational-wave signals from merging compact object binaries is a powerful indicator of their formation channel. Several binary black hole mergers and a neutron star--black hole merger have been reported to…

High Energy Astrophysical Phenomena · Physics 2026-05-19 Teagan A. Clarke , Isobel M. Romero-Shaw , Charlie Hoy , Jakob Stegmann , Paul D. Lasky , Eric Thrane

Orbital eccentricity encodes key information about compact-binary formation channels and astrophysical environments, making it a critical target for gravitational-wave (GW) inference. We present parameter-estimation (PE) analyses of GWs…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Lorenzo Pompili , Aldo Gamboa , Alessandra Buonanno

Gravitational wave detections offer insights into the astrophysical populations of black holes in the universe and their formation processes. Detections of binaries consisting of black holes lying outside the bulk distribution of the…

General Relativity and Quantum Cosmology · Physics 2023-06-12 Yumeng Xu , Eleanor Hamilton

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 use of quasicircular waveforms in matched-filter analyses of signals from eccentric binary neutron star mergers can lead to biases in the source's parameter estimation. We demonstrate that significant biases can be present already for…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Giulia Huez , Sebastiano Bernuzzi , Matteo Breschi , Rossella Gamba

We study the orbital stability of a non-zero mass, close-in circular orbit planet around an eccentric orbit binary for various initial values of the binary eccentricity, binary mass fraction, planet mass, planet semi--major axis, and planet…

Earth and Planetary Astrophysics · Physics 2020-04-29 Cheng Chen , Stephen H. Lubow , Rebecca G. Martin

The couplings between supermassive black-hole binaries and their environments within galactic nuclei have been well studied as part of the search for solutions to the final parsec problem. The scattering of stars by the binary or the…

General Relativity and Quantum Cosmology · Physics 2016-01-26 S. R. Taylor , E. A. Huerta , J. R. Gair , S. T. McWilliams

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

In general neutron stars in binaries are spinning. Recently, a new quasi-equilibrium approximation that includes a rotational velocity piece for each star has been proposed to describe binary neutron stars with arbitrary rotation states in…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Wolfgang Tichy

One of the major assumptions in the search for gravitational wave signatures from massive and supermassive black hole binaries with LISA, is that these systems will have circularized before entering the LISA bandwidth. Current astrophysical…

General Relativity and Quantum Cosmology · Physics 2010-05-31 Edward K. Porter , Alberto Sesana

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