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One of the most remarkable properties of extrasolar planets is their high orbital eccentricities. Observations have shown that at least 20% of these planets, including some with particularly high eccentricities, are orbiting a component of…

Astrophysics · Physics 2009-11-10 G. Takeda , F. A. Rasio

We examine the formation of planets around binary stars in light of the recently discovered systems Kepler 16, 34 and 35. We conduct hydrodynamical simulations of self gravitating disks around binary systems. The selected binary and disk…

Earth and Planetary Astrophysics · Physics 2015-06-11 F. I. Pelupessy , S. Portegies Zwart

The Lidov-Kozai (LK) mechanism plays an important role in the secular evolution of many hierarchical triple systems. The standard LK mechanism consists of large-amplitude oscillations in eccentricity and inclination of a binary subject to…

Earth and Planetary Astrophysics · Physics 2015-06-23 Bin Liu , Diego J. Muñoz , Dong Lai

We study the dynamics of a star orbiting a merging black-hole binary (BHB) in a coplanar triple configuration. During the BHB's orbital decay, the system can be driven across the apsidal precession resonance, where the apsidal precession…

High Energy Astrophysical Phenomena · Physics 2024-06-10 Bin Liu , Dong Lai

The three-body problem is famously chaotic, with no closed-form analytical solutions. However, hierarchical systems of three or more bodies can be stable over indefinite timescales. A system is considered hierarchical if the bodies can be…

Solar and Stellar Astrophysics · Physics 2022-11-30 Max Tory , Evgeni Grishin , Ilya Mandel

We perform simulations of magnetohydrodynamic accretion onto equal-mass, nonspinning binary black holes in 3+1 full general relativity addressing the effects of orbital eccentricity. We find that binary black holes with non-negligible…

High Energy Astrophysical Phenomena · Physics 2025-08-11 Vikram Manikantan , Vasileios Paschalidis , Gabriele Bozzola

We investigate the dynamics of a nonzero mass, circular orbit planet around an eccentric orbit binary for various values of the binary eccentricity, binary mass fraction, planet mass, and planet semi--major axis by means of numerical…

Earth and Planetary Astrophysics · Physics 2019-11-06 Cheng Chen , Alessia Franchini , Stephen H. Lubow , Rebecca G. Martin

Transit timing variations - deviations from strict periodicity between successive passages of a transiting planet - can be used to probe the structure and dynamics of multiple-planet systems. In this paper, we examine prospects for…

Earth and Planetary Astrophysics · Physics 2015-05-19 Stefano Meschiari , Gregory Laughlin

Hierarchical quadruple systems arise naturally in stellar binaries and triples that harbour planets. Examples are hot Jupiters (HJs) in stellar triple systems, and planetary companions to HJs in stellar binaries. The secular dynamical…

Earth and Planetary Astrophysics · Physics 2017-06-19 Adrian S. Hamers , Dong Lai

Inspiraling supermassive black hole binary systems with high orbital eccentricity are important sources for space-based gravitational wave (GW) observatories like the Laser Interferometer Space Antenna (LISA). Eccentricity adds orbital…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Balázs Mikóczi , Bence Kocsis , Péter Forgács , Mátyás Vasúth

While the expectation is that the majority of gravitational wave events observable by ground-based detectors will be emitted by compact binaries in quasi-circular orbits, the growing number of detections suggests the possibility of…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Blake Moore , Nicolás Yunes

Hierarchical triple systems play a crucial role in various astrophysical contexts, and therefore the understanding of their stability is important. Traditional empirical stability criteria rely on a threshold value of $Q$, the ratio between…

Solar and Stellar Astrophysics · Physics 2025-06-17 Ryutaro Iwakura , Yoko Funato , Junichiro Makino

[Abridged] The recent discovery of a transiting planet on a non-circular orbit with a massive highly eccentric companion orbiting HAT-P-13 offers the possibility of probing the structure of the short-period planet. The ability to do this…

Earth and Planetary Astrophysics · Physics 2015-05-18 Rosemary A. Mardling

The orbital eccentricity of a single planet around a component of a stellar binary system with a sufficiently large mutual inclination angle is known to oscillate on a secular timescale through the Kozai mechanism. We have investigated the…

Astrophysics · Physics 2007-11-08 Genya Takeda , Ryosuke Kita , Frederic A. Rasio , Samuel M. Rubinstein

This paper presents an orbital analysis of six southern single-lined spectroscopic binary systems. The systems selected were shown to have circular or nearly circular orbits (e < 0.1) from earlier published solutions of only moderate…

Solar and Stellar Astrophysics · Physics 2012-11-26 John B. Hearnshaw , Siramas Komonjinda , Jovan Skuljan , Pam M. Kilmartin

Context. This work is part of a long-term spectroscopic study of a sample of 30 multiple stars with early-type components. In this second paper we present the results of six multiple systems in which new stellar components have been…

Solar and Stellar Astrophysics · Physics 2014-09-05 M. E. Veramendi , J. F. González

Recent observations have shown that at least some close-in exoplanets maintain eccentric orbits despite tidal circularization timescales that are typically shorter than stellar ages. We explore gravitational interactions with a distant…

Earth and Planetary Astrophysics · Physics 2015-06-12 Ke Zhang , Douglas P. Hamilton , Soko Matsumura

In hierarchical triple systems, the inner binary is slowly perturbed by a distant companion, giving rise to large-scale oscillations in eccentricity and inclination, known as von-Zeipel-Lidov-Kozai (ZLK) oscillations. Stable systems with a…

Earth and Planetary Astrophysics · Physics 2024-12-19 Evgeni Grishin

We study the evolution of the eccentricity of an eccentric orbit with spinning components. We develop a prescription to express the evolving eccentricity in terms of reference eccentricity and frequency. For that purpose we considered the…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Sayak Datta

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