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We present the results of hydrodynamical simulations of the orbital evolution of planets undergoing runaway gas accretion in radiative discs. We consider accreting disc models with constant mass flux through the disc, and where radiative…

Earth and Planetary Astrophysics · Physics 2016-09-21 Arnaud Pierens , Sean Raymond

In order to study the origin of the architectures of low mass planetary systems, we perform numerical surveys of the evolution of pairs of coplanar planets in the mass range $(1-4)\ \rmn{M}_{\oplus}.$ These evolve for up to $2\times10^7…

Earth and Planetary Astrophysics · Physics 2015-04-21 M. Xiang-Gruess , J. C. B. Papaloizou

The multiple-planet systems discovered by the Kepler mission show an excess of planet pairs with period ratios just wide of exact commensurability for first-order resonances like 2:1 and 3:2. In principle, these planet pairs could have both…

Earth and Planetary Astrophysics · Physics 2015-06-16 Man Hoi Lee , D. Fabrycky , D. N. C. Lin

The dynamical interactions that occur in newly formed planetary systems may reflect the conditions occurring in the protoplanetary disk out of which they formed. With this in mind, we explore the attainment and maintenance of orbital…

Earth and Planetary Astrophysics · Physics 2015-05-14 John C. B. Papaloizou , Ewa Szuszkiewicz

We present N-body simulations of resonant planets with inclined orbits that show chaotically evolving eccentricities and inclinations that can persist for at least 10 Gyr. A wide range of behavior is possible, from fast, low amplitude…

Earth and Planetary Astrophysics · Physics 2015-06-23 Rory Barnes , Russell Deitrick , Richard Greenberg , Thomas R. Quinn , Sean N. Raymond

Multiple planets undergoing disk migration may be captured into a chain of mean-motion resonances with the innermost planet parked near the disk's inner edge. Subsequent dynamical evolution may disrupt these resonances, leading to the…

Mean-motion resonances (MMRs) form through convergent disc migration of planet pairs, which may be disrupted by dynamical instabilities after protoplanetary disc (PPD) dispersal. This scenario is supported by recent analysis of TESS data…

Earth and Planetary Astrophysics · Physics 2025-05-21 Yi-Xian Chen , Yinhao Wu , Ya-Ping Li , Douglas N. C. Lin , Richard Alexander , Sergei Nayakshin , Fei Dai

A number of multiplanet systems are observed to contain planets very close to mean motion resonances, although there is no significant pileup of precise resonance pairs. We present theoretical and numerical studies on the outcome of capture…

Earth and Planetary Astrophysics · Physics 2018-09-12 Wenrui Xu , Dong Lai , Alessandro Morbidelli

Many multi-planet systems have been discovered in recent years. Some of them are in mean-motion resonances (MMR). Planet formation theory was successful in explaining the formation of 2:1, 3:1 and other low resonances as a result of…

Earth and Planetary Astrophysics · Physics 2014-11-20 Hanno Rein , John C. B. Papaloizou

Gravitational perturbations in multi-planet systems caused by an accompanying star are the subject of this investigation. Our dynamical model is based on the binary star HD41004 AB where a giant planet orbits HD41004 A. We modify the…

Earth and Planetary Astrophysics · Physics 2022-01-12 Elke Pilat-Lohinger , Akos Bazso , Barbara Funk

The disc surrounding PDS 70, with two directly imaged embedded giant planets, is an ideal laboratory to study planet-disc interaction. We present three-dimensional smoothed particle hydrodynamics simulations of the system. In our…

Earth and Planetary Astrophysics · Physics 2020-10-28 Claudia Toci , Giuseppe Lodato , Valentin Christiaens , Davide Fedele , Christophe Pinte , Daniel J. Price , Leonardo Testi

The Kepler mission has discovered that multiple close-in super-Earth planets are common around solar-type stars, but their period ratios do not show strong pile-ups near mean motion resonances (MMRs). One scenario is that super-Earths form…

Earth and Planetary Astrophysics · Physics 2017-04-26 Beibei Liu , Chris W. Ormel , Douglas N. C. Lin

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

The statistical results of transiting planets show that there are two peaks around 1.5 and 2.0 in the distribution of orbital period ratios. A large number of planet pairs are found near the exact location of mean motion resonances (MMRs).…

Earth and Planetary Astrophysics · Physics 2021-01-27 Su Wang , D. N. C. Lin , Xiaochen Zheng , Jianghui Ji

A commonly noted feature of the population of multi-planet extrasolar systems is the rarity of planet pairs in low-order mean-motion resonances. We revisit the physics of resonance capture via convergent disk-driven migration. We point out…

Earth and Planetary Astrophysics · Physics 2017-05-02 Margaret Pan , Hilke E. Schlichting

A migrating planet can capture planetesimals into mean motion resonances. However, resonant trapping can be prevented when the drift or migration rate is sufficiently high. Using a simple Hamiltonian system for first and second order…

Astrophysics · Physics 2009-11-13 Alice C. Quillen

We study formation of 9:7 mean motion resonance (MMR) as a result of convergent migration of two planets embedded in a disc. Depending on the migration parameters, initial orbits and planets' masses the system may pass through the resonance…

Earth and Planetary Astrophysics · Physics 2017-05-31 Cezary Migaszewski

Short-period super-Earths and mini-Neptunes encircle more than $\sim50\%$ of Sun-like stars and are relatively amenable to direct observational characterization. Despite this, environments in which these planets accrete are difficult to…

Earth and Planetary Astrophysics · Physics 2023-05-04 Max Goldberg , Konstantin Batygin

Ways of formation of azimuthal resonant patterns in circumstellar planetesimal disks with planets are considered. Our analytical estimates and massive numerical experiments show that the disk particles that initially reside in zones of…

Earth and Planetary Astrophysics · Physics 2023-07-24 Tatiana V. Demidova , Ivan I. Shevchenko

The number of multi-planet systems known to be orbiting their host stars with orbital periods that place them in mean motion resonances is growing. For the most part, these systems are in first-order resonances and dynamical studies have…

Earth and Planetary Astrophysics · Physics 2015-06-15 James S. Jenkins , Mikko Tuomi , Ramon Brasser , Oleksiy Ivanyuk , Felipe Murgas