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Our Galaxy hosts a very massive object at its centre, often referred to as the supermassive black hole Sgr A*. Its gravitational tidal field is so intense that can strip apart a binary star passing its vicinity and accelerate one of the…

Astrophysics of Galaxies · Physics 2020-06-10 Roberto Capuzzo-Dolcetta , Nazanin Davari

We study the quasi-stationary evolution of systems where an energetic confinement is unable to completely retain their constituents. It is performed an extensive numerical study of a gas whose dynamics is driven by binary encounters and its…

Statistical Mechanics · Physics 2007-05-23 L. Velazquez , H. Mosquera Cuesta , F. Guzman

The case of the planar circular restricted three-body problem is used as a test field in order to determine the character of the orbits of a small body which moves under the gravitational influence of the two heavy primary bodies. We…

Space Physics · Physics 2017-09-28 Euaggelos E. Zotos

The study of the interaction of a massive black hole binary with its gaseous environment is crucial in order to be able to predict merger rates and possible electromagnetic counterparts of gravitational wave signals. The evolution of the…

High Energy Astrophysical Phenomena · Physics 2022-05-04 Alessia Franchini , Alessandro Lupi , Alberto Sesana

We consider a restricted four-body problem on the dynamics of a massless particle under the gravitational force produced by three mass points forming an equilateral triangle configuration. We assume that the mass m3 of one primary is very…

Dynamical Systems · Mathematics 2015-06-03 Jaime Burgos-Garcia , Marian Gidea

We investigate resonant capture of small bodies by planets that migrate inwards, using analytic arguments and three-body integrations. If the orbits of the planet and the small body are initially circular and coplanar, the small body is…

Astrophysics · Physics 2009-10-31 Qingjuan Yu , Scott Tremaine

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

We study the gravitational wave (GW) phase shift arising from center-of-mass accelerations of binary black hole mergers formed dynamically in three-body systems, where both the inner orbit of the merging binary and the outer orbit are…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Kai Hendriks , Lorenz Zwick , Johan Samsing

We investigate the mass loss from a rotationally distorted envelope following the early, rapid in-spiral of a companion star inside a common envelope. For initially wide, massive binaries (M_1+M_2=20M_{\odot}, P\sim 10 yr), the primary has…

Astrophysics · Physics 2009-11-10 T. Morris , Ph. Podsiadlowski

Short-period massive binary stars are predicted to undergo chemically homogeneous evolution (CHE), making them prime candidates for producing binary black holes (BBHs) that may merge within the age of the Universe. Most of these binaries…

The secular approximation of the hierarchical three body systems has been proven to be very useful in addressing many astrophysical systems, from planets, stars to black holes. In such a system two objects are on a tight orbit, and the…

Earth and Planetary Astrophysics · Physics 2017-06-28 Smadar Naoz , Gongjie Li , Macarena Zanardi , Gonzalo Carlos de Elía , Romina P. Di Sisto

High-density cusps of compact remnants are expected to form around supermassive black holes (SMBHs) in galactic nuclei via dynamical friction and two-body relaxation. Due to the high density, binaries in orbit around the SMBH can frequently…

High Energy Astrophysical Phenomena · Physics 2020-03-18 Alessandro Alberto Trani

We investigate the response of a circumstellar accretion disc to the fly-by of a perturbing mass on a parabolic orbit. The energy and angular momentum transferred during the encounter are calculated using a reduced three-body method. In…

Astrophysics · Physics 2015-06-24 S. M. Hall , C. J. Clarke , J. E. Pringle

Highly eccentric binary systems appear in many astrophysical contexts, ranging from tidal capture in dense star clusters, precursors of stellar disruption by massive black holes, to high-eccentricity migration of giant planets. In a highly…

Solar and Stellar Astrophysics · Physics 2018-02-14 Michelle Vick , Dong Lai

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

Tertiary tides (TTs), or the continuous tidal distortion of the tertiary in a hierarchical triple system, can extract energy from the inner binary, inducing within it a proclivity to merge. Despite previous work on the subject, which…

Solar and Stellar Astrophysics · Physics 2020-01-08 Yan Gao , Silvia Toonen , Evgeni Grishin , Tom Comerford , Matthias Udo Kruckow

Mass transfer in binary systems is the key process in the formation of various classes of objects, including merging binary black holes (BBHs) and neutron stars. Orbital evolution during mass transfer depends on how much mass is accreted…

Consider the planar three-body problem with masses positive $m_1,m_2,m_3$ position vector $q(t) = (q_1(t),q_2(t),q_3(t))\in\mathbb{R}^6$. Let $$U(q) = \frac{m_1m_2}{r_{12}}+\frac{m_1m_3}{r_{13}}+\frac{m_2m_3}{r_{23}}$$ where…

Dynamical Systems · Mathematics 2026-03-11 Richard Moeckel

We study close approaches in hierarchical triple systems with comparable masses using full N-body simulations, motivated by a recent model for type Ia supernovae involving direct collisions of white dwarfs (WDs). For stable hierarchical…

Solar and Stellar Astrophysics · Physics 2018-06-19 Niv Haim , Boaz Katz

The hyperbolic encounters of two massive objects are characterized by the emission of a gravitational wave burst, with most of the energy released during the closest approach (near the periastron). The detection of such events, different…

General Relativity and Quantum Cosmology · Physics 2024-03-04 Marienza Caldarola , Sachiko Kuroyanagi , Savvas Nesseris , Juan Garcia-Bellido