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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

In the past two decades, transit surveys have revealed a class of planets with thick atmospheres -- sub-Neptunes -- that must have completed their accretion in protoplanet disks. When planets form in the gaseous disk, the gravitational…

Earth and Planetary Astrophysics · Physics 2025-06-10 Shuo Huang , Chris Ormel , Simon Portegies Zwart , Eiichiro Kokubo , Tian Yi

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

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

An ever-growing observational aggregate of extrasolar planets has revealed that systems of planets that reside in or near mean-motion resonances are relatively common. While the origin of such systems is attributed to protoplanetary…

Earth and Planetary Astrophysics · Physics 2015-06-16 Konstantin Batygin , Alessandro Morbidelli

Planets migrating in their natal discs can be captured into mean-motion resonance (MMR), in which the planets' periods are related by integer ratios. Recent observations indicate that planets in MMR can be either apsidally aligned or…

Earth and Planetary Astrophysics · Physics 2022-10-26 JT Laune , Laetitia Rodet , Dong Lai

At least 30\% of main sequence stars host planets with sizes of between 1 and 4 Earth radii and orbital periods of less than 100 days. We use N-body simulations including a model for gas-assisted pebble accretion and disk--planet tidal…

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

In previous hydrodynamical simulations, we found a mechanism for nearly circular binary stars, like Kepler-413, to trap two planets in a stable 1:1 resonance. Therefore, the stability of coorbital configurations becomes a relevant question…

Earth and Planetary Astrophysics · Physics 2023-12-06 Stefan Adelbert , Anna B. T. Penzlin , Christoph M. Schäfer , Wilhelm Kley , Billy Quarles , Rafael Sfair

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

The new 2-planetary system around HD169830 has been announced during the XIX-th IAP Colloquium "Extrasolar Planets: Today & Tomorrow" (Paris, June 30 - July 4, 2003) by the Geneva Extrasolar Planet Search team. We study the orbital dynamics…

Astrophysics · Physics 2009-09-29 Krzysztof Gozdziewski , Maciej Konacki

The measurement of the apsidal motion in close eccentric massive binary systems provides essential information to probe the internal structure of the stars that compose the system. Following the determination of the fundamental stellar and…

Solar and Stellar Astrophysics · Physics 2022-04-27 S. Rosu , G. Rauw , M. Farnir , M. -A. Dupret , A. Noels

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

An increasing number of compact planetary systems with multiple planets in a resonant chain have been detected. The resonant chain must be maintained by convergent migration of the planets due to planet-disk interactions if it is formed…

Earth and Planetary Astrophysics · Physics 2024-02-09 Ka Ho Wong , Man Hoi Lee

Some quadruple star systems in the hierarchical 2+2 configuration exhibit orbit-orbit resonances between the two compact binaries. We show that the most important resonances occur at period ratios of 1:1, 3:2 and 2:1. We describe the…

Solar and Stellar Astrophysics · Physics 2020-04-08 Scott Tremaine

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

Mean motion commensurabilities in multi-planet systems are an expected outcome of protoplanetary disk-driven migration, and their relative dearth in the observational data presents an important challenge to current models of planet…

Earth and Planetary Astrophysics · Physics 2017-03-08 Konstantin Batygin , Fred C. Adams

Aims. We clarify the response of extrasolar planetary systems in a 2:1 mean motion commensurability with masses ranging from the super Jovian range to the terrestrial range to stochastic forcing that could result from protoplanetary disk…

Astrophysics · Physics 2009-04-14 Hanno Rein , John C. B. Papaloizou

This paper focuses on two-planet systems in a first-order $(q+1):q$ mean motion resonance and undergoing type-I migration in a disc. We present a detailed analysis of the resonance valid for any value of $q$. Expressions for the equilibrium…

Earth and Planetary Astrophysics · Physics 2018-10-17 Caroline Terquem , John Papaloizou

We explore a simplified model of the outcome of an early outer Solar System gravitational upheaval during which objects were captured into Neptune's 3:2 mean motion resonance via scattering rather than smooth planetary migration. We use…