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Related papers: Trapping in three-planet resonances during gas-dri…

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Using orbital integration and analytical arguments, we have found a new mechanism (an "eccentricity trap") to halt type I migration of planets near the inner edge of a protoplanetary disk. Because asymmetric eccentricity damping due to…

Earth and Planetary Astrophysics · Physics 2015-05-19 Masahiro Ogihara , Martin J. Duncan , Shigeru Ida

Orbital mean motion resonances in planetary systems originate from dissipative processes in disk-planet interactions that lead to orbital migration. In multi-planet systems that host giant planets, the perturbation of the protoplanetary…

Earth and Planetary Astrophysics · Physics 2018-10-24 Nicolas P. Cimerman , Wilhelm Kley , Rolf Kuiper

The Kepler mission has released over 4496 planetary candidates, among which 3483 planets have been confirmed as of April 2017. The statistical results of the planets show that there are two peaks around 1.5 and 2.0 in the distribution of…

Earth and Planetary Astrophysics · Physics 2017-11-29 Su Wang , Jianghui Ji

We investigate the evolution of a system of two super-Earths with masses < 4 Earth masses embedded in a turbulent protoplanetary disk. The aim is to examine whether or not resonant trapping can occur and be maintained in presence of…

Earth and Planetary Astrophysics · Physics 2015-05-27 A. Pierens , C. Baruteau , F. Hersant

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

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

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

The first study of migration-induced resonances in a pair of Earth-like planets has been performed by Papaloizou and Szuszkiewicz (2005). They concluded that in the case of disparate masses embedded in a disc with the surface density…

Earth and Planetary Astrophysics · Physics 2015-05-14 A. Łacny , E. Szuszkiewicz

The dynamical evolution of terrestrial planets resembling Mercury in the vicinity of spin-orbit resonances is investigated using comprehensive harmonic expansions of the tidal torque taking into account the frequency-dependent quality…

Earth and Planetary Astrophysics · Physics 2015-05-30 Valeri V. Makarov

The theory of Type~I migration has been widely used in many studies. Transiting multi-planet systems offer us the opportunity to examine the consistency between observation and theory, especially for those systems harbouring planets in Mean…

Earth and Planetary Astrophysics · Physics 2023-04-19 Shuo Huang , Chris Ormel

Capture into mean motion resonance (MMR) is an important dynamical mechanism as it shapes the final architecture of a planetary system. We simulate systems of two or three planets undergoing migration with varied initial parameters such as…

Earth and Planetary Astrophysics · Physics 2023-01-11 Kaltrina Kajtazi , Antoine C. Petit , Anders Johansen

In this paper we investigate the possibility of a migration-induced resonance locking in systems containing three planets, namely an Earth analog, a super-Earth and a gas giant. The planets have been listed in order of increasing orbital…

Earth and Planetary Astrophysics · Physics 2015-06-18 Edyta Podlewska-Gaca , Ewa Szuszkiewicz

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

Context: In the early evolution of a planetary system, a pair of planets may be captured in a mean motion resonance while still embedded in their nesting circumstellar disk. Aims: The goal is to estimate the direction and amount of shift in…

Earth and Planetary Astrophysics · Physics 2018-03-21 F. Marzari

Planets undergoing convergent migration can be captured into mean-motion resonance (MMR), in which the planets' periods are related by integer ratios. The dynamics of MMR are typically considered in isolation, including only the forces…

Earth and Planetary Astrophysics · Physics 2025-05-16 JT Laune , Dong Lai

We present an analytical and numerical study of the orbital migration and resonance capture of fictitious two-planet systems with masses in the super-Earth range undergoing Type-I migration. We find that, depending on the flare index and…

Earth and Planetary Astrophysics · Physics 2017-06-28 X. S. Ramos , C. Charalambous , P. Benítez-Llambay , C. Beaugé

We investigate the migration of a low-mass ($\lesssim 10 M_\oplus$) planet near the inner edge of a protoplanetary disc using two-dimensional viscous hydrodynamics simulations. We employ an inner boundary condition representing the…

Earth and Planetary Astrophysics · Physics 2017-12-13 Ryan Miranda , Dong Lai

In this work, we investigate configuration formation of two inner terrestrial planets near mean motion resonance (MMRs) induced by the perturbation of a distant gas-giant for the Kepler-68 system, by conducting thousands of numerical…

Earth and Planetary Astrophysics · Physics 2021-12-10 Mengrui Pan , Su Wang , Jianghui Ji

The resonant perturbations from planets are able to halt the drag-induced migration, and capture the inwardly drifting planetesimals into mean motion resonances. The equilibrium eccentricity of planetesimals in resonances, and the minimum…

Earth and Planetary Astrophysics · Physics 2019-05-29 He-Feng Hsieh , Ing-Guey Jiang

We present two-dimensional hydrodynamical simulations of pairs of planets migrating simultaneously in the Type I regime in a protoplanetary disc. Convergent migration naturally leads to the trapping of these planets in mean-motion…

Earth and Planetary Astrophysics · Physics 2017-12-27 T. O. Hands , R. D. Alexander