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TRAPPIST-1 is an 0.09 $M_{\odot}$ star, which harbours a system of seven Earth-sized planets. Two main features stand out: (i) all planets have similar radii, masses, and compositions; and (ii) all planets are in resonance. Previous works…

Earth and Planetary Astrophysics · Physics 2022-02-16 Shuo Huang , Chris W. Ormel

Based on radial velocity measurements it has been found recently that the two giant planets detected around the star HD 73526 are in 2:1 resonance. However, as our numerical integration shows, the derived orbital data for this system result…

Astrophysics · Physics 2009-11-13 Zs. Sandor , W. Kley , P. Klagyivik

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

We consider two protoplanets gravitationally interacting with each other and a protoplanetary disc. The two planets orbit interior to a tidally maintained disc cavity while the disc interaction indices inward migration. When the migration…

Astrophysics · Physics 2009-11-06 M. D. Snellgrove , J. C. B. Papaloizou , R. P. Nelson

Pairs of extrasolar giant planets in a mean motion commensurability are common with 2:1 resonance occurring most frequently. Disc-planet interaction provides a mechanism for their origin. However, the time scale on which this could operate…

Earth and Planetary Astrophysics · Physics 2016-07-05 Q. André , J. C. B. Papaloizou

We analyze the orbital and mass evolution of planets that undergo run-away gas accretion by means of 2D and 3D hydrodynamic simulations. The disk torque distribution per unit disk mass as a function of radius provides an important…

Astrophysics · Physics 2008-09-18 Gennaro D'Angelo , Stephen H. Lubow

The multiple-planet systems discovered by the Kepler mission exhibit the following feature: planet pairs near first-order mean-motion resonances prefer orbits just outside the nominal resonance, while avoiding those just inside the…

Earth and Planetary Astrophysics · Physics 2013-05-24 Cristobal Petrovich , Renu Malhotra , Scott Tremaine

The asymmetric resonance configuration characterized by the critical angle librating around centres other than 0 or 180 degree, is found in the 1:N mean motion resonance. The asymmetric 1:2 resonance with Neptune is of particular interest…

Earth and Planetary Astrophysics · Physics 2023-12-13 Hailiang Li , Li-Yong Zhou

(Abridged) We have numerically explored the stable planetary geometry for the multiple systems involved in a 2:1 mean motion resonance, and herein we mainly concentrate on the study of the HD 82943 system by employing two sets of the…

Astrophysics · Physics 2007-05-23 Ji Jianghui , H. Kinoshita , Liu Lin , H. Nakai , Li Guangyu

Planetary systems exhibiting mean-motion resonances (MMRs) offer unique opportunities to study the imprint of disk-induced migration on the orbital architectures of planetary systems. The HD 45364 system, discovered via the radial velocity…

Earth and Planetary Astrophysics · Physics 2025-02-24 Ian Chow , Sam Hadden

Resonant chains are groups of planets for which each pair is in resonance, with an orbital period ratio locked at a rational value (2/1, 3/2, etc.). Such chains naturally form as a result of convergent migration of the planets in the…

Earth and Planetary Astrophysics · Physics 2017-09-20 J. -B. Delisle

Multi-planet systems detected until now are in most cases characterized by hot-Jupiters close to their central star as well as high eccentricities. As a consequence, from a dynamical point of view, compact multi-planetary systems form a…

Astrophysics · Physics 2009-02-03 Julie Gayon , Eric Bois

Convergent migration involving multiple planets embedded in a viscous protoplanetary disc is expected to produce a chain of planets in mean motion resonances, but the multiplanet systems observed by the Kepler spacecraft are generally not…

Earth and Planetary Astrophysics · Physics 2019-07-31 Colin P. McNally , Richard P. Nelson , Sijme-Jan Paardekooper

As planets form they tidally interact with their natal disks. Though the tidal perturbation induced by Earth and super-Earth mass planets is generally too weak to significantly modify the structure of the disk, the interaction is…

Earth and Planetary Astrophysics · Physics 2015-06-05 Katherine A. Kretke , D. N. C. Lin

At least two multi-planetary systems in a 4:3 mean motion resonance have been found by radial velocity surveys. These planets are gas giants and the systems are only stable when protected by a resonance. Additionally the Kepler mission has…

Earth and Planetary Astrophysics · Physics 2012-09-25 Hanno Rein , Matthew J. Payne , Dimitri Veras , Eric B. Ford

We present a thorough study of the impact of a migrating planet on a planetesimal disk, by exploring a broad range of masses and eccentricities for the planet. We discuss the sensitivity of the structures generated in debris disks to the…

Astrophysics · Physics 2009-11-13 Rémy Reche , Hervé Beust , J. C. Augereau , Olivier Absil

Planet formation simulations consistently predict compact systems of numerous small planets in chains of mean motion resonances formed by planet-disk interaction, but transiting planet surveys have found most systems to be non-resonant and…

Earth and Planetary Astrophysics · Physics 2026-03-25 Max Goldberg , Antoine C. Petit

All of the known circumbinary planets are large (> 3 Earth radii). Whilst observational biases may account for this dearth of small planets, in this paper we propose a theoretical explanation. Most of the known planets are near the…

Earth and Planetary Astrophysics · Physics 2022-01-26 David V. Martin , Evan Fitzmaurice

We develop a simple model for computing planetary formation based on the core instability model for the gas accretion and the oligarchic growth regime for the accretion of the solid core. In this model several planets can form…

Astrophysics · Physics 2009-11-13 Yamila Miguel , Adrian Brunini

The outward migration of a pair of resonant-orbit planets, driven by tidal interactions with a gas-dominated disk, is studied in the context of evolved solar nebula models. The planets' masses, M1 and M2, correspond to those of Jupiter and…

Earth and Planetary Astrophysics · Physics 2015-06-05 Gennaro D'Angelo , Francesco Marzari
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