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The very long-term evolution of the hierarchical restricted three-body problem with a massive perturber is analyzed analytically in the high eccentricity regime. Perturbations on the time scale of the outer orbit can accumulate over long…

Earth and Planetary Astrophysics · Physics 2024-08-09 Ygal Y. Klein , Boaz Katz

We investigate the orbital dynamics of hierarchical three-body systems containing a double neutron star system orbiting around a massive black hole. These systems show complex dynamical behaviour because of relativistic coupling between…

High Energy Astrophysical Phenomena · Physics 2013-04-02 Grant N. Remmen , Kinwah Wu

We examine the origin of dynamical friction using a non-perturbative, orbit-based approach. Unlike the standard perturbative approach, in which dynamical friction arises from the LBK torque due to pure resonances, this alternative,…

Astrophysics of Galaxies · Physics 2022-03-09 Uddipan Banik , Frank C. van den Bosch

We discuss dynamical friction in an $N$-body system in the presence of tidal interactions caused by a distant external source. Using the distant tide approximation, we develop a perturbation scheme for the calculation of dynamical friction…

Astrophysics of Galaxies · Physics 2022-02-14 Mahmood Roshan , Bahram Mashhoon

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

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

Compact objects evolving in an astrophysical environment experience a gravitational drag force known as dynamical friction. We present a multipole-frequency decomposition to evaluate the orbit-averaged energy and angular momentum…

Astrophysics of Galaxies · Physics 2025-09-22 Gali Eytan , Vincent Desjacques , Yonadav Barry Ginat

The sequence of eclipses of binary stars is subject to inequalities for various reasons. The presence of a third component in the system causes periodic motion of the binary's center of mass along the line of sight of an observer. The…

Solar and Stellar Astrophysics · Physics 2026-03-24 David Vokrouhlický

We investigate dynamical self-friction, the process by which material that is stripped from a subhalo torques its remaining bound remnant, which causes it to lose orbital angular momentum. By running idealized simulations of a subhalo…

Astrophysics of Galaxies · Physics 2020-06-29 Tim B. Miller , Frank C. van den Bosch , Sheridan B. Green , Go Ogiya

We derive octupole-level secular perturbation equations for hierarchical triple systems, using classical Hamiltonian perturbation techniques. By extending previous work done to leading (quadrupole) order to octupole level (i.e., including…

Astrophysics · Physics 2009-10-31 Eric B. Ford , Boris Kozinsky , Frederic A. Rasio

A "circular orbital forcing" makes a chosen point on a rigid body follow a circular motion while the body spins freely around that point. We investigate this problem for the planar motion of a body subject to dry friction. We focus on the…

Classical Physics · Physics 2022-01-13 Pablo de Castro , Tiago Araújo Lima , Fernando Parisio

A restricted planar circular three-body system, consisting of the Sun and two planets, is studied as a simple model for a planetary system. The mass of the inner planet is considered to be larger and the system is assumed to be moving in a…

Astrophysics · Physics 2009-10-31 Nader Haghighipour

Dynamical friction can be a valuable tool for inferring dark matter properties that are difficult to constrain by other methods. Most applications of dynamical friction calculations are concerned with the long-term angular momentum loss and…

In this study, we look into binaries undergoing gravitational radiation during a hyperbolic passage. Such hyperbolic events can be a credible source of gravitational waves in future detectors. We systematically calculate fluxes of…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Abhishek Chowdhuri , Rishabh Kumar Singh , Kaushik Kangsabanik , Arpan Bhattacharyya

Context. Merging compact objects such as binary black holes provide a promising probe for the physics of dark matter (DM). The gravitational waves emitted during inspiral potentially allow one to detect DM spikes around black holes. This is…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-23 Moritz S. Fischer , Laura Sagunski

The outflow of an object traveling in a fluid can shape the fluid morphology by forming a forward bow shock which accelerates the object via gravitational feedback. This dynamical effect, namely "dynamical anti-friction", has been studied…

Solar and Stellar Astrophysics · Physics 2022-06-29 Lile Wang , Xinyu Li

Future gravitational wave observatories can probe dark matter by detecting the dephasing in the waveform of binary black hole mergers induced by dark matter overdensities. Such a detection hinges on the accurate modelling of the dynamical…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Bradley J. Kavanagh , Theophanes K. Karydas , Gianfranco Bertone , Pierfrancesco Di Cintio , Mario Pasquato

Within hierarchical triple stellar systems, there exists a tidal process unique to them, known as tertiary tides. In this process, the tidal deformation of a tertiary in a hierarchical triple drains energy from the inner binary, causing the…

Solar and Stellar Astrophysics · Physics 2025-09-03 Yan Gao , Tjarda Boekholt , Devismita Panda , Tatsuya Akiba , Silvia Toonen

In the framework of multi-body dynamics, successive encounters with a third body, even if well outside of its sphere of influence, can noticeably alter the trajectory of a spacecraft. Examples of these effects have already been exploited by…

Space Physics · Physics 2017-09-14 J. P. Sanchez , C. Colombo , E. M. Alessi

We examine the stability of hierarchical triple systems using direct $N$-body simulations without adopting a secular perturbation approximation. We estimate their disruption timescales in addition to the mere stable/unstable criterion, with…

Solar and Stellar Astrophysics · Physics 2022-11-16 Toshinori Hayashi , Alessandro A. Trani , Yasushi Suto