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Related papers: Dynamical friction can flip the hierarchical three…

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We derive the conservative secular evolution of precessing compact binaries to second post-Newtonian order accuracy, with leading-order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. The emerging closed system of…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Márton Tápai , Zoltán Keresztes , László Árpád Gergely

We present equations governing the way in which both the orbit and the intrinsic spins of stars in a close binary should evolve subject to a number of perturbing forces, including the effect of a third body in a possibly inclined wider…

Astrophysics · Physics 2009-11-06 Peter P. Eggleton , Ludmila Kiseleva-Eggleton

We study the long-term evolution of selected hierarchical triple systems in Newtonian gravity. We employ analytic equations derived in Paper II for the evolution of orbit-averaged orbital elements for both inner and outer orbits, which…

Earth and Planetary Astrophysics · Physics 2025-07-11 Landen Conway , Clifford M. Will

The prospect of unprecedented high-quality data of gravitational waves in the upcoming decades demands a theoretical effort to optimally study and analyze the signals that next generation detectors will provide. Here we study the…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Mikel Martin Barandiaran , Sachiko Kuroyanagi , Savvas Nesseris

Mechanical vibrations are known to affect frictional sliding and the associated stick-slip patterns causing sometimes a drastic reduction of the friction force. This issue is relevant for applications in nanotribology and to understand…

Materials Science · Physics 2015-05-13 Rosario Capozza , Andrea Vanossi , Alessandro Vezzani , Stefano Zapperi

Many triple-star systems have an inner pair with an orbital period of a few days only. A common mechanism to explain the short-period pile-up present in the observations is the migration through Lidov-Kozai cycles combined with tidal…

Earth and Planetary Astrophysics · Physics 2018-08-01 Manon Bataille , Anne-Sophie Libert , Alexandre C. M. Correia

Mildly hierarchical three-body systems are widespread in the Universe, exemplified by planets in stellar binaries and stars in black-hole binaries. In such systems, Brown Hamiltonian corrections play a crucial role in governing the…

Earth and Planetary Astrophysics · Physics 2025-07-29 Hao Gao , Hanlun Lei

An introductory exposition of Chandrasekhar's gravitational dynamical friction, appropriate for an undergraduate class in mec hanics, is presented. This friction results when a massive particle moving through a ``sea'' of much lighter star…

Classical Physics · Physics 2007-05-23 Hector Aceves , Maria Colosimo

Many Local Group dwarf spheroidal galaxies are found in the Galactic halo along great circles in the sky. Some of these stellar systems are thought to be the fragments of larger parent galaxies which have once intruded into and were torn…

Astrophysics · Physics 2008-11-26 M. Fellhauer , D. N. C. Lin

We revisit the three black hole scenario with numerical relativity techniques to study hierarchical configurations where the inner binary contains highly spinning black holes. We find that the merger time of the binary gets a delay (with a…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Giuseppe Ficarra , Carlos O. Lousto

The three-body problem has been studied for more than three centuries [1,2], and has received much attention in recent years [3-5]. It shows complex dynamical phenomena due to the mutual gravitational interaction of the three bodies. Triple…

Chaotic Dynamics · Physics 2021-01-05 Xiaoming Li , Xiaochen Li , Shijun Liao

Coalescing binary black holes experience a ``kick'' due to anisotropic emission of gravitational waves with an amplitude as great as 200$ km/s. We examine the orbital evolution of black holes that have been kicked from the centers of…

Astrophysics · Physics 2010-04-23 Alessandro Vicari , Roberto Capuzzo-Dolcetta , David Merritt

The gravitational three-body problem is a fundamental problem in physics and has significant applications to astronomy. Three-body configurations are often considered stable as long the system is hierarchical; that is, the two orbital…

Astrophysics of Galaxies · Physics 2023-07-26 Eric Zhang , Smadar Naoz , Clifford M. Will

Over the last few decades, observational surveys have revealed that high-order multiple-star systems (e.g. triples, quadruples, etc.), and triples in particular, are common in our Galaxy. In this paper, we consider the dynamical…

Solar and Stellar Astrophysics · Physics 2015-06-15 Nathan W. C. Leigh , Aaron M. Geller

Closely-packed multi-planet systems are known to experience dynamical instability if the spacings between the planets are too small. Such instability can be tempered by the frictional forces acting on the planets from gaseous discs. A…

Earth and Planetary Astrophysics · Physics 2022-06-07 Jiaru Li , Laetitia Rodet , Dong Lai

The influence of out-of-plane oscillations on friction is a well-known phenomenon that has been studied extensively with various experimental methods, e.g. pin-on-disk tribometers. However, existing theoretical models have yet achieved only…

Chaotic Dynamics · Physics 2017-05-30 Xinyu Mao , Valentin L. Popov , Jasminka Starcevic , Mikhail Popov

The hierarchical triple body approximation has useful applications to a variety of systems from planetary and stellar scales to supermassive black holes. In this approximation, the energy of each orbit is separately conserved and therefore…

Earth and Planetary Astrophysics · Physics 2016-10-05 Smadar Naoz

This paper is an extension of the paper by Del Popolo, Chan, and Mota (2020) to take account the effect of dynamical friction. We show how dynamical friction changes the threshold of collapse, $\delta_c$, and the turn-around radius, $R_t$.…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-29 Antonino Del Popolo , Man Ho Chan

As a binary pulsar moves through a wind of dark matter particles, the resulting dynamical friction modifies the binary's orbit. We study this effect for the double disk dark matter (DDDM) scenario, where a fraction of the dark matter is…

High Energy Astrophysical Phenomena · Physics 2017-11-13 Andrea Caputo , Jesús Zavala , Diego Blas

Dynamical friction is the process responsible for matter transport toward the inner regions of galaxies in form of massive objects, like intermediate mass black holes, globular clusters and small satellite galaxies. While very bright…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-19 M. Arca-Sedda , R. Capuzzo-Dolcetta