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Scattering encounters between binaries and single stars play a central role in determining the dynamical evolution of a star cluster. In addition, three-body scattering can give rise to many interesting exceptional objects: merging can…

Astrophysics · Physics 2009-10-28 Stephen L. W. McMillan , Piet Hut

The three-body problem is arguably the oldest open question in astrophysics, and has resisted a general analytic solution for centuries. Various implementations of perturbation theory provide solutions in portions of parameter space, but…

Astrophysics of Galaxies · Physics 2020-03-18 Nicholas C. Stone , Nathan W. C. Leigh

Binary formation in clusters through triple encounters between three unbound stars, 'three-body' binary formation, is one of the main dynamical formation processes of binary systems in dense environments. In this paper, we use an analytical…

Astrophysics of Galaxies · Physics 2025-11-18 Yonadav Barry Ginat , Hagai B. Perets

Motivated by detections of hypervelocity stars that may originate from the Galactic Center, we revist the problem of a binary disruption by a passage near a much more massive point mass. The six order of magnitude mass ratio between the…

High Energy Astrophysical Phenomena · Physics 2014-11-20 Re'em Sari , Shiho Kobayashi , Elena M. Rossi

Gravitational scattering of small bodies (planetesimals) by a planet remains a fundamental problem in celestial mechanics. It is traditionally modeled within the circular restricted three-body problem (CR3BP), where individual particle…

Earth and Planetary Astrophysics · Physics 2026-02-11 Yukun Huang , Brett Gladman , Eiichiro Kokubo

Spherically symmetric equal mass star clusters containing a large amount of primordial binaries are studied using a hybrid method, consisting of a gas dynamical model for single stars and a Monte Carlo treatment for relaxation of binaries…

Astrophysics · Physics 2011-07-19 M. Giersz , R. Spurzem

Hierarchical triple stars are ideal laboratories for studying the interplay between orbital dynamics and stellar evolution. Both stellar wind mass loss and three-body dynamics cooperate to destabilise triples, which can lead to a variety of…

Solar and Stellar Astrophysics · Physics 2022-05-11 S. Toonen , T. C. N. Boekholt , S. Portegies Zwart

Solutions to the collinear three-body problem which do not end in triple collision pass through an infinite number of binary collisions. Given three masses, we show that four geometric quantities generate a finite description of itineraries…

Dynamical Systems · Mathematics 2007-05-23 Samuel R. Kaplan

Physical collisions between stars occur frequently in dense star clusters, either via close encounters between two single stars, or during strong dynamical interactions involving binary stars. Here we study stellar collisions that occur…

Astrophysics · Physics 2009-11-10 J. M. Fregeau , P. Cheung , S. F. Portegies Zwart , F. A. Rasio

In this paper, we study the 3-body products (two single stars and a binary) of binary-binary (2+2) scattering interactions. This is done using a combination of analytic methods and numerical simulations of 2+2 scattering interactions, both…

Astrophysics of Galaxies · Physics 2017-06-28 Taeho Ryu , Nathan W. C. Leigh , Rosalba Perna

A common origin for a host of stellar phenomena in galactic centres is the tidal encounter between stellar binaries and a massive black hole (MBH), known as the ``Hills mechanism''. Following the encounter, binaries may disrupt into an…

Astrophysics of Galaxies · Physics 2025-05-14 Biancamaria Sersante , Zephyr Penoyre , Elena Maria Rossi

Context: The Circular Restricted Three-Body Problem provides a fundamental framework for understanding resonant dynamics in binary star systems. Aims: We develop a unified Hamiltonian formulation for mean-motion resonances that encompasses…

Earth and Planetary Astrophysics · Physics 2026-05-08 R. Capuzzo-Dolcetta

This thesis describes a numerical study of binary boson stars within the context of an approximation to general relativity. The approximation we adopt places certain restrictions on the dynamical variables of general relativity (conformal…

General Relativity and Quantum Cosmology · Physics 2010-03-02 Bruno C. Mundim

In galactic centers, stars and binaries can be injected into low-angular-momentum orbits, resulting in close encounters with the central supermassive black hole (SMBH). Previous works have shown that under different conditions, such close…

High Energy Astrophysical Phenomena · Physics 2024-12-20 Fangyuan Yu , Dong Lai

Multi-body dynamical interactions of binaries with other objects are one of the main driving mechanisms for the evolution of star clusters. It is thus important to bring our understanding of three-body interactions beyond the commonly…

High Energy Astrophysical Phenomena · Physics 2023-07-12 Taeho Ryu , Selma de Mink , Rob Farmer , Ruediger Pakmor , Rosalba Perna , Volker Springel

The Orion BN/KL complex is the nearest site of ongoing high-mass star formation. Recent proper motion observations provide convincing evidence of a recent (about 500 years ago) dynamical interaction between two massive young stellar objects…

Solar and Stellar Astrophysics · Physics 2015-05-30 Nickolas Moeckel , Ciriaco Goddi

Exoplanetary systems are found not only among single stars, but also binaries of widely varying parameters. Binaries with separations of 100--1000 au are prevalent in the Solar neighborhood; at these separations planet formation around a…

Earth and Planetary Astrophysics · Physics 2015-06-04 Nickolas Moeckel , Dimitri Veras

Stellar systems consisting of multiple stars tend to undergo tidal interactions when the separations between the stars are short. While tidal phenomena have been extensively studied, a certain tidal effect exclusive to hierarchical triples…

Solar and Stellar Astrophysics · Physics 2018-06-27 Yan Gao , Alexandre C. M. Correia , Peter P. Eggleton , Zhanwen Han

Strong encounters between single stars and binaries play a pivotal role in the evolution of star clusters. Such encounters can also dramatically modify the orbital parameters of binaries, exchange partners in and out of binaries, and are a…

Solar and Stellar Astrophysics · Physics 2015-08-06 Aaron M. Geller , Nathan W. C. Leigh

We study the disruption process of hierarchical 3-body systems with bodies of comparable mass. Such systems have long survival times that vary by orders of magnitude depending on the initial conditions. By comparing with 3-body numerical…

Solar and Stellar Astrophysics · Physics 2020-09-08 Jonathan Mushkin , Boaz Katz
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