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Related papers: Eccentricities and the Stability of Closely-Spaced…

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The discovery of over 400 extrasolar planets allows us to statistically test our understanding of formation and dynamics of planetary systems via numerical simulations. Traditional N-body simulations of multiple-planet systems without gas…

Earth and Planetary Astrophysics · Physics 2014-11-18 Soko Matsumura , Edward W. Thommes , Sourav Chatterjee , Frederic A. Rasio

This paper considers the stability of tidal equilibria for planetary systems in which stellar rotation provides a significant contribution to the angular momentum budget. We begin by applying classic stability considerations for two bodies…

Earth and Planetary Astrophysics · Physics 2015-06-23 Fred C. Adams , Anthony M. Bloch

We aim to investigate the influence of the eccentricity and inclination damping due to planet-disc interactions on the final configurations of the systems, generalizing previous studies on the combined action of the gas disc and…

Earth and Planetary Astrophysics · Physics 2016-12-09 Sotiris Sotiriadis , Anne-Sophie Libert , Bertram Bitsch , Aurélien Crida

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

There exists a positive correlation between orbital eccentricity and the average stellar flux that planets receive from their parent star. Often, though, it is assumed that the average equilibrium temperature would correspondingly increase…

Earth and Planetary Astrophysics · Physics 2017-02-24 Abel Méndez , Edgard G. Rivera-Valentín

The nearly circular (mean eccentricity <e>~0.06) and coplanar (mean mutual inclination <i>~3 deg) orbits of the Solar System planets motivated Kant and Laplace to put forth the hypothesis that planets are formed in disks, which has…

Planets have been observed in tight binary systems with separations less than 20 AU. A likely formation scenario for such systems involves a dynamical capture, after which high relative inclinations are likely and may lead to Kozai…

Earth and Planetary Astrophysics · Physics 2011-02-11 Lamya Saleh , Frederic Rasio

Following the suggestion of Black (1997) that some massive extrasolar planets may be associated with the tail of the distribution of stellar companions, we investigate a scenario in which 5 < N < 100 planetary mass objects are assumed to…

Astrophysics · Physics 2009-10-31 J. C. B. Papaloizou , Caroline Terquem

Nearly half of the exoplanets found within binary star systems reside in very wide binaries with average stellar separations beyond 1,000 AU (1 AU being the Earth-Sun distance), yet the influence of such distant binary companions on…

Earth and Planetary Astrophysics · Physics 2015-06-12 Nathan A. Kaib , Sean N. Raymond , Martin Duncan

Eccentricity is an important orbital parameter. Understanding its effect on planetary climate and habitability is critical for us to search for a habitable world beyond our solar system. The orbital configurations of M-dwarf planets are…

Earth and Planetary Astrophysics · Physics 2017-10-05 Yuwei Wang , Yonggang Liu , Feng Tian , Yongyun Hu , Yi Huang

Observational surveys show that at least ~ 30% of short-period multiplanetary systems host tightly packed planets, some of which are locked in stable chains of mean-motion resonances. Despite recent progress, the dynamical stability of…

Earth and Planetary Astrophysics · Physics 2026-01-29 Sacha Gavino , Jack J. Lissauer

We study the stability regions and families of periodic orbits of two planets locked in a co-orbital configuration. We consider different ratios of planetary masses and orbital eccentricities, also we assume that both planets share the same…

Earth and Planetary Astrophysics · Physics 2015-05-18 C. A. Giuppone , C. Beaugé , T. A. Michtchenko , S. Ferraz-Mello

Planets that orbit only one of the stars in stellar binary systems (i.e., circumstellar) are dynamically constrained to a limited range of orbital parameters and thus understanding conditions on their stability is of great importance in…

Earth and Planetary Astrophysics · Physics 2020-02-11 Billy Quarles , Gongjie Li , Veselin Kostov , Nader Haghighipour

The TRAPPIST-1 system has 7 known terrestrial planets arranged compactly in a mean motion resonant chain around an ultra-cool central star, some within the estimated habitable zone. Given their short orbital periods of just a few days, it…

Earth and Planetary Astrophysics · Physics 2019-08-07 Alec M. Vinson , Daniel Tamayo , Brad M. S. Hansen

The high-multiplicity exoplanet systems are generally more tightly packed when compared to the solar system. Such compact multi-planet systems are often susceptible to dynamical instability. We investigate the impact of dynamical…

Earth and Planetary Astrophysics · Physics 2023-12-13 Tuhin Ghosh , Sourav Chatterjee

Many discovered multiplanet systems are tightly packed. This implies that wide parameter ranges in masses and orbital elements can be dynamically unstable and ruled out. We present a case study of Kepler-23, a compact three-planet system…

Earth and Planetary Astrophysics · Physics 2020-12-23 Daniel Tamayo , Christian Gilbertson , Daniel Foreman-Mackey

Compact binaries with orbital periods shorter than about 7 days show an absence of transiting planets, a feature known as the ``circumbinary planet desert". The physical mechanism behind this desert remains unclear. We investigate its…

Earth and Planetary Astrophysics · Physics 2026-05-06 Bin Liu , Dong Lai

Recent advances have enabled the discovery of a population of potentially Earth-like planets, yet their orbital eccentricity, which governs their climate and provides clues about their origin and dynamical history, is still largely…

Earth and Planetary Astrophysics · Physics 2025-01-22 David Kipping , Diana Solano-Oropeza , Daniel A. Yahalomi , Madison Li , Avishi Poddar , Xunhe Zhang

The gravitational three-body problem is a fundamental problem in physics and has significant applications to astronomy. Three-body configurations are often considered stable as long the system is hierarchical; that is, the two orbital…

Astrophysics of Galaxies · Physics 2023-07-26 Eric Zhang , Smadar Naoz , Clifford M. Will

This paper explores the intermediate-time dynamics of newly formed solar systems with a focus on possible mechanisms for planetary migration. We consider two limiting corners of the available parameter space -- crowded systems containing…

Astrophysics · Physics 2009-11-07 Fred C. Adams , Greg Laughlin