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Related papers: Eccentricity generation in hierarchical triple sys…

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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

Studying the orbital stability of multi-planet systems is essential to understand planet formation, estimate the stable time of an observed planetary system, and advance population synthesis models. Although previous studies have primarily…

Earth and Planetary Astrophysics · Physics 2023-09-01 Sheng Yang , Liangyu Wu , Zekai Zheng , Masahiro Ogihara , Kangrou Guo , Wenzhan Ouyang , Yaxing He

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

Simulation of quasicircular compact binaries is a major goal in numerical relativity, as they are expected to constitute most gravitational wave observations. However, given that orbital eccentricity is not well-defined in general…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Sarah Habib , Mark Scheel , Saul Teukolsky

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

Within hierarchical triple stellar systems, there exists a tidal process unique to them, known as tertiary tides. In this process, the tidal deformation of a tertiary in a hierarchical triple drains energy from the inner binary, causing the…

Solar and Stellar Astrophysics · Physics 2025-09-03 Yan Gao , Tjarda Boekholt , Devismita Panda , Tatsuya Akiba , Silvia Toonen

The formation of the solar system's giant planets predated the ultimate epoch of massive impacts that concluded the process of terrestrial planet formation. Following their formation, the giant planets' orbits evolved through an episode of…

Earth and Planetary Astrophysics · Physics 2021-06-23 Matthew S. Clement , Nathan A. Kaib , Sean N. Raymond , John E. Chambers

We study the orbital evolution of hierarchical quadruple systems composed of two binaries on a long mutual orbit, where each binary acts as a Kozai-Lidov (KL) perturber on the other. We find that the coupling between the two binaries…

Solar and Stellar Astrophysics · Physics 2014-05-28 Ondrej Pejcha , Joe M. Antognini , Benjamin J. Shappee , Todd A. Thompson

We numerically investigate the dynamics of orbits in 3D circumbinary phase-space as a function of binary eccentricity and mass fraction. We find that inclined circumbinary orbits in the elliptically-restricted three-body problem display a…

Solar and Stellar Astrophysics · Physics 2015-05-30 Samuel Doolin , Katherine M. Blundell

With the increasing number of detected exoplanet samples, the statistical properties of planetary systems have become much clearer. In this review, we summarize the major statistics that have been revealed mainly by radial velocity and…

Earth and Planetary Astrophysics · Physics 2015-06-05 J. -L. Zhou , J. -W. Xie , H. -G. Liu , H. Zhang , Y. -S. Sun

It is known, that possibility to capture on a satellite orbit is decreased with primary orbital eccentricity increasing. It means, that satellites of planet on eccentric orbit are less stable. We study problem by analytical and numeric…

Earth and Planetary Astrophysics · Physics 2013-04-26 Alexey Rosaev

We investigate the properties of the hydrodynamic flow around eccentric protoplanets and compare them with the often assumed case of a circular orbit. To this end, we perform a set of 3D hydrodynamic simulations of protoplanets with small…

Earth and Planetary Astrophysics · Physics 2020-11-03 Avery Bailey , Jim Stone , Jeffrey Fung

The motion of a satellite around a planet can be studied by the Hill model, which is a modification of the restricted three body problem pertaining to motion of a satellite around a planet. Although the dynamics of the circular Hill model…

Earth and Planetary Astrophysics · Physics 2015-03-19 G. Voyatzis , I. Gkolias , H. Varvoglis

Among a hundred transiting planets with a measured projected spin-orbit angle {\lambda}, several systems are suggested to be counter-orbiting. While they may be due to the projection effect, the mechanism to produce a counter-orbiting…

Earth and Planetary Astrophysics · Physics 2016-03-23 Yuxin Xue , Yasushi Suto

A fundamental question in the study of planetary system demographics is: how common is the solar system architecture? The primary importance of this question lies in the potential of planetary systems to create habitable environments, and…

Earth and Planetary Astrophysics · Physics 2024-02-07 Stephen R. Kane , Robert A. Wittenmyer

Most studies of mass transfer in binary systems assume circular orbits at the onset of Roche lobe overflow. However, there are theoretical and observational indications that mass transfer could occur in eccentric orbits. In particular,…

Solar and Stellar Astrophysics · Physics 2019-02-27 Adrian S. Hamers , Fani Dosopoulou

Many exoplanets are discovered in binary star systems in internal or in circumbinary orbits. Whether the planet can be habitable or not depends on the possibility to maintain liquid water on its surface, and therefore on the luminosity of…

Earth and Planetary Astrophysics · Physics 2021-06-23 G. De Cesare , R. Capuzzo-Dolcetta

We describe and study an instantaneous definition of eccentricity to be applied at the initial moment of full numerical simulations of binary black holes. The method consists of evaluating the eccentricity at the moment of maximum…

General Relativity and Quantum Cosmology · Physics 2022-11-30 Alessandro Ciarfella , James Healy , Carlos O. Lousto , Hiroyuki Nakano

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 present a Monte Carlo model for the structure of low mass (total mass < 25 earth mass) planetary systems that form by the in situ gravitational assembly of planetary embryos into final planets. Our model includes distributions of mass,…

Earth and Planetary Astrophysics · Physics 2015-06-12 Brad Hansen , Norm Murray