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(abridged) Angular momentum transport and accretion in protoplanetary discs are generally believed to be driven by MHD turbulence via the magneto-rotational instability (MRI). The dynamics of solid bodies embedded in such discs (dust…

Earth and Planetary Astrophysics · Physics 2015-05-19 Richard P. Nelson , Oliver Gressel

We present the results of hydrodynamical simulations of low mass protoplanets embedded in circumbinary accretion disks. The aim is to examine the migration and long term orbital evolution of the protoplanets, in order to establish the…

Astrophysics · Physics 2009-11-13 Arnaud Pierens , Richard P. Nelson

Planetary systems can evolve dynamically even after the planets themselves have fully formed, and there is circumstantial evidence that most planetary systems become unstable after the disappearance of the gaseous protoplanetary disk.…

Earth and Planetary Astrophysics · Physics 2025-08-20 Antoine C. Petit , Gabriele Pichierri , Max Goldberg , Alessandro Morbidelli

We study how the interaction between the streaming instability and intrinsic gas-phase turbulence affects planetesimal formation via gravitational collapse in protoplanetary disks. Turbulence impedes the formation of particle clumps by…

Earth and Planetary Astrophysics · Physics 2020-12-09 Daniel A. Gole , Jacob B. Simon , Rixin Li , Andrew N. Youdin , Philip J. Armitage

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

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

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

We use local numerical simulations to investigate the strength and nature of magnetohydrodynamic (MHD) turbulence in the outer regions of protoplanetary disks, where ambipolar diffusion is the dominant non-ideal MHD effect. The simulations…

Solar and Stellar Astrophysics · Physics 2015-06-11 Jacob B. Simon , Xue-Ning Bai , James M. Stone , Philip J. Armitage , Kris Beckwith

The formation of resonant pairs of planets in exoplanetary systems involves planetary migration in the protoplanetary disc. After a resonant capture, the subsequent migration in this configuration leads to a large increase of planetary…

Astrophysics · Physics 2009-10-22 A. Crida , Zs. Sándor , W. Kley

This paper considers the stability of tidal equilibria for planetary systems in which stellar rotation provides a significant contribution to the angular momentum budget. We begin by applying classic stability considerations for two bodies…

Earth and Planetary Astrophysics · Physics 2015-06-23 Fred C. Adams , Anthony M. Bloch

Low-mass objects embedded in isothermal protoplanetary discs are known to suffer rapid inward Type I migration. In non-isothermal discs, recent work has shown that a decreasing radial profile of the disc entropy can lead to a strong…

Earth and Planetary Astrophysics · Physics 2015-06-11 A. Pierens , C. Baruteau , F. Hersant

Orbital resonances are ubiquitous in the Solar system. They play a decisive role in the long term dynamics, and in some cases the physical evolution, of the planets and of their natural satellites, as well as the evolution of small bodies…

chao-dyn · Physics 2009-10-22 Renu Malhotra

Recent exoplanet observations reported a large number of multiple-planet systems, in which some of the planets are in a chain of resonances. The fraction of resonant systems to non-resonant systems provides clues about their formation…

Earth and Planetary Astrophysics · Physics 2020-04-22 Yuji Matsumoto , Masahiro Ogihara

The migration of planets plays an important role in the early planet-formation process. An important problem has been that standard migration theories predict very rapid inward migration, which poses problems for population synthesis…

Earth and Planetary Astrophysics · Physics 2014-01-09 Bertram Bitsch , Willy Kley

Mean-motion resonances are expected to frequently arise at the inner edges of protoplanetary disks, where planet-disk interactions facilitate large-scale orbital convergence. Under certain conditions, however, the same dissipative forces…

Earth and Planetary Astrophysics · Physics 2026-04-29 Konstantin Batygin , Ian R. Brunton , Alessandro Morbidelli

The identification of mean motion resonances in exoplanetary systems or in the Solar System might be cumbersome when several planets and large number of smaller bodies are to be considered. Based on the geometrical meaning of the resonance…

Earth and Planetary Astrophysics · Physics 2018-03-21 E. Forgács-Dajka , Zs. Sándor , B. Érdi

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

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

Continuing our study of the effects of secular resonances on the formation of terrestrial planets in moderately close binary stars, we present here the results of an extensive numerical simulations of the formation of these objects.…

Earth and Planetary Astrophysics · Physics 2025-07-29 Nader Haghighipour , Michael Andrews

Convergent migration allows pairs of planet to become trapped into mean motion resonances. Once in resonance, the planets' eccentricities grow to an equilibrium value that depends on the ratio of migration time scale to the eccentricity…

Earth and Planetary Astrophysics · Physics 2015-06-18 Eva H. L. Bodman , Alice C. Quillen
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