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We study the development of finite eccentricity in accretion disks in close binary systems using a two-dimensional grid-based numerical scheme. We perform detailed parameter studies to explore the dependence on viscosity, disk aspect ratio,…

Astrophysics · Physics 2015-05-13 Wilhelm Kley , John Papaloizou , Gordon Ogilvie

In hierarchical triple systems, the inner binary is perturbed by a distant companion. For large mutual inclinations, the Lidov-Kozai mechanism secularly excites large eccentricity and inclination oscillations of the inner binary. The…

Earth and Planetary Astrophysics · Physics 2018-09-11 Evgeni Grishin , Hagai B. Perets , Giacomo Fragione

Orbits of stellar binaries are in general eccentric. These eccentricities encode information about their early lives. Here, we use thousands of main-sequence binaries from the Gaia DR3 catalog to reveal that, binaries inwards of a few AU…

Solar and Stellar Astrophysics · Physics 2025-03-19 Yanqin Wu , Sam Hadden , Janosz Dewberry , Kareem El-Badry , Christopher D. Matzner

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 study the evolution of close triple black hole system with full numerical relativity techniques. We consider an equal mass non spinning hierarchical system with an inner binary ten orbits away from merger and study the effects of the…

General Relativity and Quantum Cosmology · Physics 2023-08-16 A. Ciarfella , G. Ficarra , C. O. Lousto

We study precession dynamics of generic binary black holes in eccentric orbits using an effective potential based formalism derived in [M. Kesden et al., PRL {\bf 114}, 081103 (2015)]. This effective potential is used to classify binary…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Khun Sang Phukon , Anuradha Gupta , Sukanta Bose , Pankaj Jain

We study the secular effects in the motion of an asteroid with negligible mass in a spatial restricted elliptic three body problem with arbitrary inclination. Averaging over mean anomalies of the asteroid and the planet are applied to…

Dynamical Systems · Mathematics 2024-09-20 Xiumin Huang , Yan Luo , Kaicheng Sheng , Yiru Ye

[Abridged]We investigate the long-term secular dynamics and Lidov-Kozai(LK) eccentricity oscillations of quadruple systems composed of two binaries at quadrupole and octupole order in the perturbing Hamiltonian. We show that the fraction of…

High Energy Astrophysical Phenomena · Physics 2018-02-21 Xiao Fang , Todd A. Thompson , Christopher M. Hirata

Hierarchical three-body systems offer a compelling framework to explore the subtle interplay between Newtonian and relativistic gravitational effects in astrophysical environments. In this work, we investigate post-Newtonian corrections to…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Pietro Farina , Mariafelicia De Laurentis , Hideki Asada , Ivan De Martino , Riccardo Della Monica

We compute the strengths of zero-th order (in eccentricity) three-body resonances for a co-planar and low eccentricity multiple planet system. In a numerical integration we illustrate that slowly moving Laplace angles are matched by…

Earth and Planetary Astrophysics · Physics 2015-05-28 Alice C. Quillen

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

In this work we revisit the problem of the dynamical stability of hierarchical triple systems with applications to circumbinary planetary orbits. We carry out more than 3 10^8 numerical simulations of planets between the size of Mercury and…

Earth and Planetary Astrophysics · Physics 2024-09-06 Nikolaos Georgakarakos , Siegfried Eggl , Mohamad Ali-Dib , Ian Dobbs-Dixon

We investigate the dynamical evolution of hierarchical three-body systems under the effect of tides, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large (greater than 20 degrees). Using the…

Earth and Planetary Astrophysics · Physics 2011-07-06 Alexandre C. M. Correia , Jacques Laskar , François Farago , Gwenaël Boué

Eccentricity of wide binaries is difficult to measure due to their long orbital periods. With Gaia's high-precision astrometric measurements, eccentricity of a wide binary can be constrained by the angle between the separation vector and…

Solar and Stellar Astrophysics · Physics 2022-03-30 Hsiang-Chih Hwang , Yuan-Sen Ting , Nadia L. Zakamska

Most extrasolar planets currently known were discovered by means of an indirect method that measures the stellar wobble caused by the planet. We previously studied a triple system composed of a star and a nearby binary on circular coplanar…

Earth and Planetary Astrophysics · Physics 2013-08-09 M. H. M. Morais , A. C. M. Correia

While the orbital eccentricity is a key feature of the gravitational two-body problem, providing an unambiguous definition in general relativity poses significant challenges. Despite such foundational issue, the eccentricity of binary black…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Matteo Boschini , Nicholas Loutrel , Davide Gerosa , Giulia Fumagalli

We perform high-resolution, grid-based hydrodynamics simulations of gaseous rings viscously spreading into disks around equal-mass, circular binaries. We find that all systems suppress accretion onto the binary when the gas is relatively…

High Energy Astrophysical Phenomena · Physics 2026-05-07 Leonardo Betancourt , Andrew MacFadyen , Jonathan Zrake

The rectilinear elliptic restricted Three Body Problem (TBP) is the limiting case of the elliptic restricted TBP when the motion of the primaries is described by a Keplerian ellipse with eccentricity $e'=1$, but the collision of the…

Earth and Planetary Astrophysics · Physics 2018-01-10 George Voyatzis , Kleomenis Tsiganis , Michalis Gaitanas

Binary-star exoplanetary systems are now known to be common, for both wide and close binaries. However, their orbital evolution is generally unsolvable. Special cases of the N-body problem which are in fact completely solvable include…

Earth and Planetary Astrophysics · Physics 2016-09-07 Dimitri Veras

We searched the orbital period changes in 182 EA-type (including the 101 Algol systems used by \cite{hal89}), 43 EB-type and 53 EW-type binaries with known both the mass ratio and the spectral type of their secondary components. We…

Solar and Stellar Astrophysics · Physics 2015-05-19 W. -P Liao , S. -B Qian
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