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Next-generation low-frequency interferometers are expected to detect binary systems near supermassive black holes, where tidal effects can alter significantly the motion of the binary. This motivates a broader investigation of how external…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Elisa Grilli , Marta Orselli , David Pereñiguez , Daniele Pica

We investigate the dynamical evolution of hierarchical three-body systems under the effect of tides, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large (greater than 20 degrees). Using the…

Earth and Planetary Astrophysics · Physics 2011-07-06 Alexandre C. M. Correia , Jacques Laskar , François Farago , Gwenaël Boué

The dynamics of a binary system moving in the background of a black hole is affected by tidal forces. In this work, for the Kerr black hole, we derive the electric and magnetic tidal moments at quadrupole order, where the latter are…

General Relativity and Quantum Cosmology · Physics 2023-04-10 Filippo Camilloni , Gianluca Grignani , Troels Harmark , Roberto Oliveri , Marta Orselli , Daniele Pica

Extreme mass ratio inspirals (EMRIs) will be important sources for future space-based gravitational-wave detectors. In recent work, tidal resonances in binary orbital evolution induced by the tidal field of nearby stars or black holes have…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Priti Gupta , Béatrice Bonga , Alvin J. K. Chua , Takahiro Tanaka

For waveform modelling of compact binary coalescence, it is conventionally assumed that the binary is in isolation. In this work, we break that assumption and introduce a third body at a distance. The primary goal is to understand how the…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Meet Khatri , Ankur Renduchintala , Sayak Datta , Sajal Mukherjee

Three-body interactions are expected to be common in globular clusters and in galactic cores hosting supermassive black holes. Here we consider an equal-mass binary-black-hole system in the presence of a third black hole. Using numerically…

Astrophysics · Physics 2009-11-13 Manuela Campanelli , Miranda Dettwyler , Mark Hannam , Carlos O. Lousto

We investigate the geometry of a tidally deformed, rotating black hole and timelike geodesics in its vicinity. Our framework provides a local picture of the structural evolution of a relativistic restricted three-body problem around a…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Takuya Katagiri , Vitor Cardoso

We discuss the gravitational wave emission and the orbital evolution of a hierarchical triple system composed of an inner binary black hole (BBH) and an outer tertiary. Depending on the kick velocity at the merger, the merged BBH could…

High Energy Astrophysical Phenomena · Physics 2017-04-19 Naoki Seto , Koutarou Kyutoku

We map the general relativistic two-body problem onto that of a test particle moving in an effective external metric. This effective-one-body approach defines, in a non-perturbative manner, the late dynamical evolution of a coalescing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Buonanno , T. Damour

Tidal and tidal-resonant effects in coalescing compact binary systems are investigated by direct numerical integration of the equations of motion. For the stars polytropic models are used. The tidal effects are found to be dominated by the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Kostas D. Kokkotas , Gerhard Schaefer

A binary system composed of an oscillating and rotating coplanar dusty disk and a point mass is considered. The conservative dynamics is treated on the Newtonian level. The effects of gravitational radiation reaction and wave emission are…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Dörte Hansen

A model of three-body motion is developed which includes the effects of gravitational radiation reaction. The radiation reaction due to the emission of gravitational waves is the only post-Newtonian effect that is included here. For…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Zachary E. Wardell

One component of a massive black hole binary (MBHB) might capture a small third body, and then a hierarchical, inclined triple system would be formed. With the post-Newtonian approximation including radiation reaction, we analyzed the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Naoki Seto

We study gravitational waves from a hierarchical three-body system up to first-order postNewtonian approximation. Under certain conditions, the existence of a nearby third body can cause periodic exchange between eccentricity of an inner…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Priti Gupta , Haruka Suzuki , Hirotada Okawa , Kei-ichi Maeda

Binary black hole systems are typically assumed to evolve in vacuum. However, the environment surrounding the binary components can influence their properties, such as their tidal deformability, affecting the gravitational waveform produced…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Valerio De Luca , Loris Del Grosso , Francesco Iacovelli , Andrea Maselli , Emanuele Berti

Tidal effects have an important impact on the late inspiral of compact binary systems containing neutron stars. Most current models of tidal deformations of neutron stars assume that the tidal bulge is directly related to the tidal field…

General Relativity and Quantum Cosmology · Physics 2016-11-17 Jan Steinhoff , Tanja Hinderer , Alessandra Buonanno , Andrea Taracchini

We show that a massive black hole binary might resonantly trap a small third body (e.g. a neutron star) down to a stage when the binary becomes relativistic due to its orbital decay by gravitational radiation. The final fate of the third…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Naoki Seto , Takayuki Muto

Binary systems of compact objects in close orbit around a supermassive black hole (SMBH) may form in galactic nuclei, providing a unique environment to probe strong-gravity tidal effects on the binary's dynamics. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Marta Cocco , Gianluca Grignani , Troels Harmark , Marta Orselli , Daniele Pica

The hierarchical three-body problem has many applications in relativistic astrophysics, and can play an important role in the formation of the binary black hole mergers detected by LIGO/Virgo. However, many studies have only included…

High Energy Astrophysical Phenomena · Physics 2020-10-07 Halston Lim , Carl L. Rodriguez

We perform the first systematic study on how dynamical stellar tides and general relativistic (GR) effects affect the dynamics and outcomes of binary-single interactions. For this, we have constructed an N-body code that includes tides in…

High Energy Astrophysical Phenomena · Physics 2017-09-06 Johan Samsing , Morgan MacLeod , Enrico Ramirez-Ruiz
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