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Related papers: Mean-Motion Resonances With Interfering Density Wa…

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Following the general numerical analysis of Melita and Woolfson (1996), I showed in a recent paper that a restricted, planar, circular planetary system consisting of Sun, Jupiter and Saturn would be captured in a near (2:1) resonance when…

Astrophysics · Physics 2016-08-30 Nader Haghighipour

We present the results of hydrodynamical simulations of the orbital evolution of planets undergoing runaway gas accretion in radiative discs. We consider accreting disc models with constant mass flux through the disc, and where radiative…

Earth and Planetary Astrophysics · Physics 2016-09-21 Arnaud Pierens , Sean Raymond

We combine statistical arguments and dynamical analysis to study the orbital configuration of the microlensing planetary system OGLE-2012-BLG-0026L. This system is known to host two massive planets, with both projected close to the Einstein…

Earth and Planetary Astrophysics · Physics 2019-06-17 Sabrina Madsen , Wei Zhu

The Kepler-36 system consists of two planets that are spaced unusually close together, near the 7:6 mean motion resonance. While it is known that mean motion resonances can easily form by convergent migration, Kepler-36 is an extreme case…

Earth and Planetary Astrophysics · Physics 2015-06-15 Sijme-Jan Paardekooper , Hanno Rein , Willy Kley

The interaction between a planet located in the inner region of a disc and the warped outer region is studied. We consider the stage of evolution after the planet has cleared-out a gap, so that the planetary orbit evolves only under the…

Earth and Planetary Astrophysics · Physics 2015-06-17 Caroline Terquem

We present the results of hydrodynamic simulations of the formation and subsequent orbital evolution of giant planets embedded in a circumbinary disc. We assume that a 20 earth masses core has migrated to the edge of the inner cavity formed…

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

We study the stability of poloidal magnetic fields anchored in a thin accretion disc. The two-dimensional hydrodynamics in the disc plane is followed by a grid-based numerical simulation including the vertically integrated magnetic forces.…

Astrophysics · Physics 2015-06-24 R. Stehle , H. C. Spruit

We examine the interaction between floating cylindrical objects and surface waves in the gravity regime. Since the impact of resonance phenomena associated with floating bodies, particularly at laboratory scales, remains underexplored, we…

Recent observations of several protoplanetary discs have found evidence of departures from flat, circular motion in the inner regions of the disc. One possible explanation for these observations is a disc warp, which could be induced by a…

Earth and Planetary Astrophysics · Physics 2018-08-29 Rebecca Nealon , Giovanni Dipierro , Richard Alexander , Rebecca Martin , Chris Nixon

Mean motion resonances are a common feature of both our own Solar System and of extrasolar planetary systems. Bodies can be trapped in resonance when their orbital semi-major axes change, for instance when they migrate through a…

Earth and Planetary Astrophysics · Physics 2015-05-20 Alexander Mustill , Mark Wyatt

The process of migration into resonance capture has been well studied for planetary systems where the gravitational potential is generated exclusively by the star and planets. However, massive protoplanetary disks add a significant…

Earth and Planetary Astrophysics · Physics 2022-06-01 Zachary Murray , Sam Hadden , Matthew J. Holman

We present a theoretical framework for investigating a two-planet system undergoing convergent type I migration in a protoplanetary disk. Our study identifies the conditions for resonant capture and subsequent dynamical stability. By…

Earth and Planetary Astrophysics · Physics 2025-10-22 Linghong Lin , Beibei Liu , Zekai Zheng

Accretion disc turbulence is investigated in the framework of the shearing box approximation. The turbulence is either driven by the magneto-rotational instability or, in the non-magnetic case, by an explicit and artificial forcing term in…

Astrophysics · Physics 2008-11-26 Axel Brandenburg

We present the results of non linear, hydrodynamic simulations, in three dimensions, of the tidal perturbation of accretion discs in binary systems where the orbit is circular and not necessarily coplanar with the disc mid-plane. The…

Astrophysics · Physics 2015-06-24 J. D. Larwood , R. P. Nelson , J. C. B. Papaloizou , C. Terquem

Mean motion resonances are important in the analysis and understanding of the dynamics of planetary systems. While perturbative approaches have been dominant in many previous studies, recent non-perturbative approaches have revealed novel…

Earth and Planetary Astrophysics · Physics 2023-02-17 Renu Malhotra , Zherui Chen

Among multi-planet planetary systems there are a large fraction of resonant systems. Studying the dynamics and formation of these systems can provide valuable informations on processes taking place in protoplanetary disks where the planets…

Earth and Planetary Astrophysics · Physics 2015-05-18 Zsolt Sandor , Wilhelm Kley

Accretion discs are common in binary systems, and they are often found to be misaligned with respect to the binary orbit. The gravitational torque from a companion induces nodal precession in misaligned disc orbits. We calculate whether…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Suzan Doğan , Chris Nixon , Andrew King , Daniel J. Price

The majority of the discovered transiting circumbinary planets are located very near the innermost stable orbits permitted, raising questions about the origins of planets in such perturbed environments. Most favored formation scenarios…

Earth and Planetary Astrophysics · Physics 2019-06-12 Adam P. Sutherland , Kaitlin M. Kratter

The origin of the spins of giant planets is an open question in astrophysics. As planets and stars accrete from discs, if the specific angular momentum accreted corresponds to that of a Keplerian orbit at the surface of the object, it is…

Earth and Planetary Astrophysics · Physics 2021-09-29 Alexander J. Dittmann

The convergent migration of two planets in a gaseous disc can lead to capture in mean motion resonance (MMR). In addition, pairs of planets in or near MMRs are known to produce strong transit timing variations (TTVs). In this paper we study…

Earth and Planetary Astrophysics · Physics 2020-10-28 Jean Teyssandier , Anne-Sophie Libert