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We study the orbital evolution of a radiation-damped binary in the extreme mass ratio limit, and the resulting waveforms, to one order beyond what can be obtained using the conservation laws approach. The equations of motion are solved…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

Binary-single interactions play a crucial role in the evolution of dense stellar systems such as globular clusters. In addition, they are believed to drive black hole (BH) binary mergers in these systems. A subset of binary-single…

Solar and Stellar Astrophysics · Physics 2019-07-01 Adrian S. Hamers , Johan Samsing

Black holes in binaries with other compact objects can provide natural venues for indirect detection of axions or other ultralight fields. The superradiant instability associated with a rapidly spinning black hole leads to the creation of…

High Energy Astrophysical Phenomena · Physics 2020-08-10 Michael Kavic , Steven L. Liebling , Matthew Lippert , John H. Simonetti

This paper investigates the trajectory tracking problem of underactuated marine vessels within a polar coordinate framework. By introducing two polar coordinate transformations (PCTs), the original two-input-three-output second-order…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Ji-Hong Li

Higher order corrections are obtained for the perihelion precession in binary systems like OJ287, Sagittarius A*-S2 and H1821+643 using both the Schwarzschild metric and the Kerr metric to take into account the spin effect. The corrections…

General Relativity and Quantum Cosmology · Physics 2021-11-24 Carlos Marín , Jorge poveda

We present numerical simulations of orbiting black holes for around twelve cycles, using a high-order multipatch approach. Unlike some other approaches, the computational speed scales almost perfectly for thousands of processors. Multipatch…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Enrique Pazos , Manuel Tiglio , Matthew D. Duez , Lawrence E. Kidder , Saul A. Teukolsky

We present a new approach to studying the evolution of massive black hole binaries in a stellar environment. By imposing conservation of total energy and angular momentum in scattering experiments, we find the dissipation forces that are…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Yohai Meiron , Ari Laor

Eccentricity and spin precession are key observables in gravitational-wave astronomy, encoding precious information about the astrophysical formation of compact binaries together with fine details of the relativistic two-body problem.…

High Energy Astrophysical Phenomena · Physics 2026-01-05 Isobel M. Romero-Shaw , Davide Gerosa , Nicholas Loutrel

In the post-Newtonian (PN) regime, the timescale on which the spins of binary black holes precess is much shorter than the radiation-reaction timescale on which the black holes inspiral to smaller separations. On the precession timescale,…

General Relativity and Quantum Cosmology · Physics 2017-08-21 Xinyu Zhao , Michael Kesden , Davide Gerosa

The quasi-stationary method for black hole binary inspiral is an approximation for studying strong field effects while suppressing radiation reaction. In this paper we use a nonlinear scalar field toy model (i) to explain the underlying…

General Relativity and Quantum Cosmology · Physics 2009-10-31 John T. Whelan , William Krivan , Richard Price

The localization of stellar-mass binary black hole mergers using gravitational waves is critical in understanding the properties of the binaries' host galaxies, observing possible electromagnetic emission from the mergers, or using them as…

High Energy Astrophysical Phenomena · Physics 2019-08-07 K. Rainer Corley , Imre Bartos , Leo P. Singer , Andrew R. Williamson , Zoltan Haiman , Bence Kocsis , Samaya Nissanke , Zsuzsa Marka , Szabolcs Marka

We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to solve the constraint equations in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kenneth A. Dennison , Thomas W. Baumgarte , Harald P. Pfeiffer

We present a simple formula for the effective ringdown frequencies of the gravitational-wave signal of a precessing black-hole binary in the co-precessing frame. This formula requires only knowledge of the quasi-normal mode frequencies of…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Eleanor Hamilton , Lionel London , Mark Hannam

Binary black-hole coalescence is treated semi-analytically by a novel approach. Our prescription employs the conservative Skeleton Hamiltonian that describes orbiting Brill-Lindquist wormholes (termed punctures in Numerical Relativity)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Achamveedu Gopakumar , Gerhard Schaefer

Spin precession is a generic feature of compact binary coalescences, which leaves clear imprints in the gravitational waveforms. Building on previous work, we present an efficient time domain inspiral-merger-ringdown effective-one-body…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Rossella Gamba , Sarp Akçay , Sebastiano Bernuzzi , Jake Williams

We study the effect of light-bending on the signal of a pulsar in binaries with rotating black hole companions, focusing on stellar mass black holes. We show that the impacts of various parameters on the bending delays visually match with…

General Relativity and Quantum Cosmology · Physics 2025-06-09 Jyotijwal Debnath , Manjari Bagchi

Small catheters undergo significant torsional deflections during endovascular interventions. A key challenge in enabling robot control of these catheters is the estimation of their bending planes. This paper considers approaches for…

Robotics · Computer Science 2023-04-25 Jared Lawson , Rohan Chitale , Nabil Simaan

This paper presents a publicly available catalog of 174 numerical binary black-hole simulations following up to 35 orbits. The catalog includes 91 precessing binaries, mass ratios up to 8:1, orbital eccentricities from a few percent to…

We perform several black-hole binary evolutions using fully nonlinear numerical relativity techniques at separations large enough that low-order post-Newtonian expansions are expected to be accurate. As a case study, we evolve an equal-mass…

General Relativity and Quantum Cosmology · Physics 2013-07-04 Carlos O. Lousto , Yosef Zlochower

Gravitational waves (GWs) from binary black hole mergers provide unique opportunities for cosmological inference such as standard sirens. However, the accurate determination of the luminosity distance of the event is limited by the…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Qianyun Yun , Wen-Biao Han , Qian Hu , Haiguang Xu
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