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We investigate the secular dynamics of three-body circumbinary systems under the effect of tides. We use the octupolar non-restricted approximation for the orbital interactions, general relativity corrections, the quadrupolar approximation…

Earth and Planetary Astrophysics · Physics 2016-08-12 Alexandre C. M. Correia , Gwenaël Boué , Jacques Laskar

We present a new analytic study of the equilibrium and stability properties of close binary systems containing polytropic components. Our method is based on the use of ellipsoidal trial functions in an energy variational principle. We…

Astrophysics · Physics 2009-10-22 D. Lai , F. A. Rasio , S. L. Shapiro

The events detected by the LIGO Virgo KAGRA collaboration over a period of 10 years have yielded a treasure trove of signals from compact binary coalescences. None of these events have shown a confident signature of eccentricity. With…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Johann Fernandes , Praveer Tiwari , Archana Pai

Orbital period changes of binary stars may be caused by the presence of a third massive body in the system. Here we have searched the archive of the Wide Angle Search for Planets (SuperWASP) project for evidence of period variations in…

Solar and Stellar Astrophysics · Physics 2015-06-24 M. E. Lohr , A. J. Norton , S. G. Payne , R. G. West , P. J. Wheatley

We have applied an eccentric accretion disc theory in simplified form to the case of an accretion disc in a binary system, where the disc contains the 3:1 Lindblad resonance. This is relevant to the case of superhumps in SU Ursae Majoris…

Astrophysics · Physics 2009-11-11 Simon Goodchild , Gordon Ogilvie

We analyse how drag forces modify the orbits of objects moving through extended gaseous distributions. We consider how hydrodynamic (surface area) drag forces and dynamical friction (gravitational) drag forces drive the evolution of orbital…

Earth and Planetary Astrophysics · Physics 2022-05-13 Ákos Szölgyén , Morgan MacLeod , Abraham Loeb

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

When binary black holes form in the field, it is expected that their orbits typically circularize before coalescence. In galactic nuclei and globular clusters, binary black holes can form dynamically. Recent results suggest that…

High Energy Astrophysical Phenomena · Physics 2018-11-13 Marcus E. Lower , Eric Thrane , Paul D. Lasky , Rory Smith

In this work, we test an effective-one-body radiation-reaction force for eccentric planar orbits of a test mass in a Kerr background, which contains third-order post-Newtonian (PN) non-spinning and second-order PN spin contributions. We…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Guglielmo Faggioli , Maarten van de Meent , Alessandra Buonanno , Aldo Gamboa , Mohammed Khalil , Gaurav Khanna

With n-body simulations and analytic approximations we study the dynamics and stability of low eccentricity misaligned test particles around binary systems with varying mass fraction and eccentricity. General relativity (GR) plays a primary…

High Energy Astrophysical Phenomena · Physics 2026-04-15 Gonzalo C. de Elía , Macarena Zanardi , Rebecca G. Martin

Mean motion resonances [MMRs] play an important role in the formation and evolution of planetary systems and have significantly influenced the orbital properties and distribution of planets and minor planets in the solar system as well as…

Earth and Planetary Astrophysics · Physics 2017-06-28 Xianyu Wang , Renu Malhotra

A planet orbiting around a star in a binary system can be ejected if it lies too far from its host star. We find that instability boundaries first obtained in numerical studies can be explained by overlap between sub-resonances within…

Astrophysics · Physics 2009-11-13 Lawrence R. Mudryk , Yanqin Wu

[abridged] Although gravitational radiation causes inspiralling compact binaries to circularize, a variety of astrophysical scenarios suggest that binaries might have small but nonnegligible orbital eccentricities when they enter the…

General Relativity and Quantum Cosmology · Physics 2016-06-30 Blake Moore , Marc Favata , K. G. Arun , Chandra Kant Mishra

Many of the Kepler close binaries are suggested to constitute hierarchical triple systems through their eclipse timing variations (ETVs). Eclipses by the third body in those systems, if observed, provide precise constraints on its physical…

Solar and Stellar Astrophysics · Physics 2015-09-25 Kento Masuda , Sho Uehara , Hajime Kawahara

Gravitational waves radiated during binary black hole coalescence is a perfect probe for studying the characteristics of strong gravity. Advanced techniques for creating numerical relativity substitute models for eccentric binary black hole…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Sourav Roy Chowdhury , Maxim Khlopov

Our current understanding is that an environment - mainly consisting of gas or stars - is required to bring massive black hole binaries (MBHBs) with total redshifted mass $M_z\sim[10^{4},10^7]~{\rm M}_\odot$ to the LISA band from parsec…

Astrophysics of Galaxies · Physics 2025-01-15 Mudit Garg , Laura Sberna , Lorenzo Speri , Francisco Duque , Jonathan Gair

We analyse the secular dynamics of planets on S-type coplanar orbits in tight binary systems, based on first- and second-order analytical models, and compare their predictions with full N-body simulations. The perturbation parameter adopted…

Earth and Planetary Astrophysics · Physics 2016-01-20 Eduardo Andrade-Ines , Cristian Beaugé , Tatiana Michtchenko , Philippe Robutel

Orbital eccentricity in compact binaries is considered to be a key tracer of their astrophysical origin, and can be inferred from gravitational-wave observations due to its imprint on the emitted signal. For a robust measurement, accurate…

General Relativity and Quantum Cosmology · Physics 2024-12-11 Alice Bonino , Patricia Schmidt , Geraint Pratten

Observations of hierarchical triple star systems show that misalignments are common both between the angular momentum vector of the inner binary and the outer companion orbit, and between the outer binary orbit and a circumtriple gas disk.…

Earth and Planetary Astrophysics · Physics 2025-03-11 Stephen Lepp , Rebecca G. Martin , Stephen H. Lubow

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
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