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Many exoplanets in close-in orbits are observed to have relatively high eccentricities and large stellar obliquities. We explore the possibility that these result from planet-planet scattering by studying the dynamical outcomes from a large…

Earth and Planetary Astrophysics · Physics 2014-04-24 Cristobal Petrovich , Scott Tremaine , Roman R. Rafikov

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

Orbits of known extrasolar planets that are located outside the tidal circularization regions of their parent stars are often substantially eccentric. By contrast, planetary orbits in our Solar System are approximately circular, reflecting…

Astrophysics · Physics 2009-11-07 E. I. Chiang , D. Fischer , E. Thommes

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 herein utilize the general three-body problem (GTBP) as a model, in order to simulate resonant systems consisting of a star and two planets, where at least one of them is highly eccentric. We study them in terms of their long-term…

Earth and Planetary Astrophysics · Physics 2015-09-10 K. I. Antoniadou , G. Voyatzis

Motivated by misaligned discs observed in eccentric orbit Be/X-ray binaries, we examine the evolution of a retrograde disc around one component of an eccentric binary with hydrodynamic simulations, $n$-body simulations and linear theory.…

Solar and Stellar Astrophysics · Physics 2025-04-11 Madeline Overton , Rebecca G. Martin , Stephen H. Lubow , Stephen Lepp

We describe a new kind of resonance occuring in relativistic three-body hierarchical systems: the precession resonance, occuring when the relativistic precession timescale of a binary equals the period of a distant perturber. We find that,…

General Relativity and Quantum Cosmology · Physics 2022-01-06 Adrien Kuntz

Orbits of inner and outer subsystems in 13 triple or higher-order stellar systems are computed or updated using position measurements and, in three cases, radial velocities. The goal is to determine mutual orbital inclinations, period…

Solar and Stellar Astrophysics · Physics 2021-03-03 Andrei Tokovinin

Of the fourteen transiting extrasolar planetary systems for which radii have been measured, at least three appear to be considerably larger than theoretical estimates suggest. It has been proposed by Bodenheimer, Lin & Mardling that…

Astrophysics · Physics 2009-11-13 Rosemary A. Mardling

The planetary dynamics of $4/3$, $3/2$, $5/2$, $3/1$ and $4/1$ mean motion resonances is studied by using the model of the general three body problem in a rotating frame and by determining families of periodic orbits for each resonance.…

Earth and Planetary Astrophysics · Physics 2017-02-10 K. I. Antoniadou , G. Voyatzis

We present the to-date largest parameter space exploration of binaries in circumbinary disks (CBDs), deriving orbital evolution prescriptions for eccentric, unequal mass binaries from our suite of hydrodynamic simulations. In all cases,…

High Energy Astrophysical Phenomena · Physics 2023-04-26 Magdalena Siwek , Rainer Weinberger , Lars Hernquist

The gradual evolution of the restricted hierarchical three body problem is analyzed analytically, focusing on conditions of Kozai-Lidov Cycles that may lead to orbital flips from prograde to retrograde motion due to the octupole (third…

Earth and Planetary Astrophysics · Physics 2024-07-11 Ygal Y. Klein , Boaz Katz

More than 10% of extra-solar planets (EPs) orbit in a binary or multiple stellar system. We investigated the motion of planets revolving in binary systems in the frame of the particular case of the three body problem. We carried out an…

Earth and Planetary Astrophysics · Physics 2015-06-12 E. Plávalová , N. A. Solovaya

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

About 5-15% of stellar systems are at least triple. About 1% of systems with a primary of $\tgs 1 \Mscun$ are triple with a {\it longer} peri od that is less than 30y, and so may in principle be capable of Roche-lobe overflow in both the…

Astrophysics · Physics 2007-05-23 P. P. Eggleton , L. G. Kiseleva

The detection of orbital eccentricity for a binary black hole system via gravitational waves is a key signature to distinguish between the possible binary origins. The identification of eccentricity has been difficult so far due to the…

General Relativity and Quantum Cosmology · Physics 2023-09-19 H. L. Iglesias , J. Lange , I. Bartos , S. Bhaumik , R. Gamba , V. Gayathri , A. Jan , R. Nowicki , R. O'Shaughnessy , D. Shoemaker , R. Venkataramanan , K. Wagner

The extent of the continuous zone of chaotic orbits of a small-mass tertiary around a system of two gravitationally bound primaries (a double star, a double black hole, a binary asteroid, etc.) is estimated analytically, in function of the…

Earth and Planetary Astrophysics · Physics 2015-01-19 Ivan I. Shevchenko

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

Limits and characteristic periods of variations in orbital elements of planets were studied by numerical integration of equations of motion. Interrelations between the characteristic periods of variations in orbital elements of some planets…

Earth and Planetary Astrophysics · Physics 2024-12-18 S. I. Ipatov

With 16-month Kepler data, 14 long-period (40 d - 265 d) eclipsing binaries on highly eccentric orbits (minimum e between 0.5 and 0.85) are recognized from their closely separated primary and secondary eclipses (\Delta t_I,II = 3 d - 10 d).…

Solar and Stellar Astrophysics · Physics 2012-12-27 Subo Dong , Boaz Katz , Aristotle Socrates