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Binary black hole simulations with black hole excision using spectral methods require a coordinate transformation into a co-rotating coordinate system where the black holes are essentially at rest. This paper presents and discusses two…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Serguei Ossokine , Lawrence E. Kidder , Harald P. Pfeiffer

Mounting evidence indicates that some of the gravitational wave signals observed by the LIGO/Virgo/KAGRA observatories might arise from eccentric compact object binaries, increasing the urgency for accurate waveform models for such systems.…

We present SEOB-TML, an enhanced effective-one-body (EOB) framework for the test-mass limit, optimized for quasi-circular, spin-aligned binary black holes. On the dynamical side, we introduce a quadrupole-factorized (Q-factorized)…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Nami Nishimura , Alessandra Buonanno , Guglielmo Faggioli , Maarten van de Meent , Gaurav Khanna

We analyze 192 sets of binary black hole merger data in eccentric orbits obtained from RIT, decomposing the radiation energy into three distinct phases through time: inspiral, late inspiral to merger, and ringdown. Our investigation reveals…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Hao Wang , Yuan-Chuan Zou , Qing Wen Wu

Gravitational waves emitted by black-hole binary systems have the highest signal-to-noise ratio in LIGO and Virgo detectors when black-hole spins are aligned with the orbital angular momentum and extremal. For such systems, we extend the…

We study the evolution of the eccentricity of an eccentric orbit with spinning components. We develop a prescription to express the evolving eccentricity in terms of reference eccentricity and frequency. For that purpose we considered the…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Sayak Datta

We compute the leading order contribution to radiative losses in the case of spinning binaries with aligned spins due to their spin-orbit interaction. The orbital average along hyperboliclike orbits is taken through an appropriate…

General Relativity and Quantum Cosmology · Physics 2023-09-04 Donato Bini , Andrea Geralico , Piero Rettegno

We derive fourth post-Newtonian (4PN) contributions to the Keplerian-type parametric solution associated with the conservative dynamics of eccentric, non-spinning compact binaries. The solution has been computed while ignoring certain…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Gihyuk Cho , Sashwat Tanay , Achamveedu Gopakumar , Hyung Mok Lee

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

Recent progress in gravitational self-force theory has led to the development of a first post-adiabatic (1PA) waveform model for nonspinning, quasicircular compact binaries [Phys. Rev. Lett. 130, 241402 (2023)]. In this paper, we extend…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Josh Mathews , Barry Wardell , Adam Pound , Niels Warburton

We compare waveforms and orbital dynamics from the first long-term, fully non-linear, numerical simulations of a generic black-hole binary configuration with post-Newtonian predictions. The binary has mass ratio q~0.8 with arbitrarily…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Manuela Campanelli , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

The two-body problem in General Relativity has been the subject of many analytical investigations. After reviewing some of the methods used to tackle this problem (and, more generally, the N-body problem), we focus on a new, recently…

General Relativity and Quantum Cosmology · Physics 2013-12-13 Thibault Damour

Binary neutron-star systems represent one of the most promising sources of gravitational waves. In order to be able to extract important information, notably about the equation of state of matter at nuclear density, it is necessary to have…

General Relativity and Quantum Cosmology · Physics 2011-10-13 Luca Baiotti , Thibault Damour , Bruno Giacomazzo , Alessandro Nagar , Luciano Rezzolla

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thierry Mora , Clifford M. Will

We perform a systematic study of eccentric orbiting nonspinning black hole binaries. We first make a technical study of the optimal full numerical techniques to apply to these studies. We choose different gauge parameters and Courant…

General Relativity and Quantum Cosmology · Physics 2025-01-17 Giuseppe Ficarra , Carlos O. Lousto

We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum, using numerical-relativity simulations, the post-Newtonian…

We present a procedure for determination of positions and orbital elements, and associated uncertainties, of outer Solar System planets. The orbit-fitting procedure is greatly streamlined compared to traditional methods because acceleration…

Astrophysics · Physics 2009-10-31 G. Bernstein , B. Khushalani

The canonical Arnowitt-Deser-Misner (ADM) Hamiltonian with next-to-leading order spin-spin coupling [J. Steinhoff, S. Hergt, and G. Sch\"afer] is converted into the EOB formalism of T. Damour, P. Jaranowski, and G. Sch\"afer for the special…

General Relativity and Quantum Cosmology · Physics 2015-02-06 Simone Balmelli , Philippe Jetzer

Using publicly available numerical relativity (NR) simulations for non-spinning eccentric binary black hole (BBH) mergers, Ref \cite{Islam:2024rhm} demonstrated that the eccentricity-induced modulations in the amplitudes and frequencies of…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Tousif Islam , Tejaswi Venumadhav

We present a new algorithm for evolving orbiting black-hole binaries that does not require excision or a corotating shift. Our algorithm is based on a novel technique to handle the singular puncture conformal factor. This system, based on…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Campanelli , C. O. Lousto , P. Marronetti , Y. Zlochower