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In some planetary systems, the orbital periods of two of its members present a commensurability, usually known by mean-motion resonance. These resonances greatly enhance the mutual gravitational influence of the planets. As a consequence,…

Earth and Planetary Astrophysics · Physics 2019-09-18 Alexandre C. M. Correia , Jean-Baptiste Delisle , Jacques Laskar

Mean-motion resonances (MMRs) are likely to play an important role both during and after the lifetime of a protostellar gas disk. We study the dynamical evolution and stability of planetary systems containing two giant planets on circular…

Astrophysics · Physics 2009-06-23 Aaron T. Lee , Edward W. Thommes , Frederic A. Rasio

The presence of mean motion resonances (MMRs) complicates analysis and fitting of planetary systems observed through the radial velocity (RV) technique. MMR can allow planets to remain stable in regions of phase space where strong…

Earth and Planetary Astrophysics · Physics 2019-09-25 M. M. Rosenthal , W. Jacobson-Galan , B. Nelson , R. A. Murray-Clay , J. A. Burt , B. Holden , E. Chang , N. Kaaz , J. Yant , R. P. Butler , S. S. Vogt

Planet-planet scattering is the leading mechanism to explain the large eccentricities of the observed exoplanet population. However, scattering has not been considered important to the production of pairs of planets in mean motion…

Astrophysics · Physics 2009-11-13 Sean N. Raymond , Rory Barnes , Philip J. Armitage , Noel Gorelick

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

Mean motion resonances [MMRs] play an important role in the formation and evolution of planetary systems and have significantly influenced the orbital properties and distribution of planets and minor planets in the solar system as well as…

Earth and Planetary Astrophysics · Physics 2017-06-28 Xianyu Wang , Renu Malhotra

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

Many of exoplanetary systems consist of more than one planet and the study of planetary orbits with respect to their long-term stability is very interesting. Furthermore, many exoplanets seem to be locked in a mean-motion resonance (MMR),…

Earth and Planetary Astrophysics · Physics 2017-02-10 Kyriaki I. Antoniadou

Mean motion resonances (MMRs) are a generic outcome of convergent migration for bodies embedded in accretion disks around a central mass. Long studied in planetary systems, the same phenomenon should occur for stellar-mass black holes (BHs)…

High Energy Astrophysical Phenomena · Physics 2025-10-16 Marguerite Epstein-Martin , Nicholas Stone , Juliette Becker

Mean motion resonances play a fundamental role in the dynamics of the small bodies of the Solar System. The last decades of the 20th century gave us a detailed description of the dynamics as well as the process of capture of small bodies in…

Earth and Planetary Astrophysics · Physics 2018-06-06 Tabare Gallardo

Many exo-solar systems discovered in the last decade consist of planets orbiting in resonant configurations and consequently, their evolution should show long-term stability. However, due to the mutual planetary interactions a multi-planet…

Earth and Planetary Astrophysics · Physics 2013-06-12 George Voyatzis , Kyriaki I. Antoniadou , John D. Hadjidemetriou

The traditional approach to analyzing mean motion resonances is through canonical perturbation theory. While this is a powerful method, its generality leads to complicated combinations of variables that are challenging to interpret and…

Earth and Planetary Astrophysics · Physics 2025-03-27 Daniel Tamayo , Samuel Hadden

We consider the chaotic motion of low-mass bodies in two-body high-order mean-motion resonances with planets in model planetary systems, and analytically estimate the Lyapunov and diffusion timescales of the motion in multiplets of…

Earth and Planetary Astrophysics · Physics 2022-07-27 Ivan I. Shevchenko

TESS and Kepler have revealed that practically all close-in sub-Neptunes form in mean-motion resonant chains, most of which unravel on timescales of 100 Myr. Using N-body integrations, we study how planetary collisions from destabilized…

Earth and Planetary Astrophysics · Physics 2025-04-17 Rixin Li , Eugene Chiang , Nick Choksi , Fei Dai

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

The characteristics of the resonant disturbing function for an asteroid perturbed by a planet in circular orbit are discussed. The location of the libration centers and their dependence with the orbital elements of the resonant orbit are…

Astrophysics · Physics 2007-08-16 Tabare Gallardo

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 study the dynamics of a system of two super-Earths embedded in a protoplanetary disc. We build a simple model of an irradiated viscous disc and use analytical prescriptions for the planet-disc interactions which lead to migration. We…

Earth and Planetary Astrophysics · Physics 2015-09-09 Cezary Migaszewski

We show that interaction with a gas disk may produce young planetary systems with closely-spaced orbits, stabilized by mean-motion resonances between neighbors. On longer timescales, after the gas is gone, interaction with a remnant…

Astrophysics · Physics 2009-11-13 Edward W. Thommes , Geoffrey Bryden , Yanqin Wu , Frederic A. Rasio

Lunar mean-motion resonances (MMRs) significantly shape cislunar dynamics beyond GEO, forming stable-unstable orbit pairs with corresponding intermingled chaotic and regular regions. The resonance zone is rigorously defined using the…

Earth and Planetary Astrophysics · Physics 2026-02-24 Anjali Rawat , Bhanu Kumar , Aaron J. Rosengren , Shane D. Ross
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