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Recent observational missions have uncovered a significant number of compact multi-exoplanet systems. The tight orbital spacing of these systems has led to much effort being applied to the understanding of their stability; however, a key…

Earth and Planetary Astrophysics · Physics 2021-06-09 Peter Bartram , Alexander Wittig , Jack J. Lissauer , Sacha Gavino , Hodei Urrutxua

The recently discovered planetary system in the binary GamCep was studied concerning its dynamical evolution. We confirm that the orbital parameters found by the observers are in a stable configuration. The primary aim of this study was to…

Astrophysics · Physics 2009-11-07 R. Dvorak , E. Pilat-Lohinger , B. Funk , F. Freistetter

We present a detailed dynamical analysis of the orbital stability of the two circumbinary planets recently proposed to orbit the evolved eclipsing binary star system NSVS 14256825. As is the case for other recently proposed circumbinary…

Earth and Planetary Astrophysics · Physics 2015-06-15 Robert A. Wittenmyer , Jonathan Horner , Jonathan Marshall

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

The binary star system gamma Cephei is unusual in that it harbours a stable giant planet around the larger star at a distance only about a tenth of that of the stellar separation. Numerical simulations are carried out into the stability of…

Astrophysics · Physics 2009-11-11 P. E. Verrier , N. W. Evans

We present a stability analysis of a large set of simulated planetary systems of three or more planets based on architectures of multiplanet systems discovered by \textit{Kepler} and \textit{K2}. We propagated 21,400 simulated planetary…

Earth and Planetary Astrophysics · Physics 2024-04-11 Kathryn Volk , Renu Malhotra

The mass and period ratios of the two planets orbiting 47 UMa suggest a possible kinship to the Jupiter-Saturn pair in our solar system. We explore the current dynamical state of the 47 UMa system with numerical integrations, and compare…

Astrophysics · Physics 2009-11-07 Gregory Laughlin , John Chambers , Debra Fischer

We present a combined analysis of previously published high-precision radial velocities and astrometry for the GJ876 planetary system using a self-consistent model that accounts for the planet-planet interactions. Assuming the three planets…

Earth and Planetary Astrophysics · Physics 2009-11-13 Jacob L. Bean , Andreas Seifahrt

The formation of resonant pairs of planets in exoplanetary systems involves planetary migration in the protoplanetary disc. After a resonant capture, the subsequent migration in this configuration leads to a large increase of planetary…

Astrophysics · Physics 2009-10-22 A. Crida , Zs. Sándor , W. Kley

Chaotic diffusion is supposed to be responsible for orbital instabilities in planetary systems after the dissipation of the protoplanetary disk, and a natural consequence of irregular motion. In this paper we show that resonant…

Earth and Planetary Astrophysics · Physics 2016-05-25 J. G. Martí , P. M. Cincotta , C. Beaugé

When exploring the stability of multiplanet systems in binaries, two parameters are normally exploited: the critical semimajor axis ac computed by Holman and Wiegert (1999) within which planets are stable against the binary perturbations,…

Earth and Planetary Astrophysics · Physics 2016-10-26 F. Marzari , G. Gallina

We investigate the orbital dynamics of four-planet systems consisting of Earth-mass planets on initially-circular, coplanar orbits around a star of one solar mass. In our simulations, the innermost planet's semimajor axis is set at 1 AU,…

Earth and Planetary Astrophysics · Physics 2026-05-06 Bennet Outland , Gretchen Noble , Andrew W. Smith , Jack J. Lissauer

We present a detailed analysis of the orbital stability of the HD 181433 planetary system, finding it to exhibit strong dynamical instability across a wide range of orbital eccentricities, semi-major axes, and mutual inclinations. We also…

Instabilities and strong dynamical interactions between several giant planets have been proposed as a possible explanation for the surprising orbital properties of extrasolar planetary systems. In particular, dynamical instabilities would…

Astrophysics · Physics 2007-05-23 Eric B. Ford , Marketa Havlickova , Frederic A. Rasio

Stability is one of the most fundamental aspects regarding planetary systems. It plays an important role in our understanding on the formation channel of the planetary systems, as well as their habitability. Many approaches have been…

Earth and Planetary Astrophysics · Physics 2024-07-22 Hareesh Gautham Bhaskar , Nathaniel W. H. Moore , Jiapeng Gao , Gongjie Li , Billy Quarles

Many of the multi-planet systems discovered to date have been notable for their compactness, with neighbouring planets closer together than any in the Solar System. Interestingly, planet-hosting stars have a wide range of ages, suggesting…

Earth and Planetary Astrophysics · Physics 2018-07-04 Alysa Obertas , Christa Van Laerhoven , Daniel Tamayo

We apply a combination of N-body modeling techniques and automated data fitting with Monte Carlo Markov Chain uncertainty analysis of Keplerian orbital models to radial velocity data to determine long term stability of the planetary system…

Earth and Planetary Astrophysics · Physics 2015-06-19 David A. Joiner , Cesar Sul , Diana Dragomir , Stephen R. Kane , Monika E. Kress

We study the evolution of a system consisting of two protoplanets still embedded in a protoplanetary disk. Results of two different numerical approaches are presented. In the first kind of model the motion of the disk material is followed…

Astrophysics · Physics 2023-07-19 Willy Kley

We study the time evolution of two protoplanets still embedded in a protoplanetary disk. The results of two different numerical approaches are presented and compared. In the first approach, the motion of the disk material is computed with…

Astrophysics · Physics 2009-11-10 Wilhelm Kley , Jochen Peitz , Geoffrey Bryden

We present an analytical formalism to study the secular dynamics of a system consisting of N-2 planets orbiting a binary star in outer orbits. We introduce a canonical coordinate system and expand the disturbing function in terms of…

Earth and Planetary Astrophysics · Physics 2017-11-08 Eduardo Andrade-Ines , Philippe Robutel