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Related papers: Planetary Migration and Eccentricity and Inclinati…

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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

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

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 J. Mustill , Mark C. Wyatt

The formation of resonant planets pairs in exoplanetary systems involves planetary migration inside the protoplanetary disc : an inwards migrating outer planet captures in Mean Motion Resonance an inner planet. During the migration of the…

Astrophysics · Physics 2008-07-18 A. Crida , Zs. Sándor , W. Kley

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

In this work, we extensively investigate the formation of near 4:2:1 mean motion resonances (MMRs) configuration by performing two sets of N-body simulations. We model the eccentricity damping, gas drag, type I and type II planetary…

Earth and Planetary Astrophysics · Physics 2017-02-22 Zhao Sun , Jianghui Ji , Su Wang , Sheng Jin

The majority of extrasolar planets discovered to date have significantly eccentric orbits, some if not all of which may have been produced through planetary migration. During this process, any planets interior to such an orbit would…

Earth and Planetary Astrophysics · Physics 2009-12-11 Gareth F. Kennedy , Rosemary A. Mardling

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

We investigate the condition for capture into first-order mean motion resonances using numerical simulations with a wide range of various parameters. In particular, we focus on deriving the critical migration timescale for capture into the…

Earth and Planetary Astrophysics · Physics 2015-06-16 Masahiro Ogihara , Hiroshi Kobayashi

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

Planets around binary stars and those in multiplanet systems may experience resonant eccentricity excitation and disruption due to perturbations from a distant stellar companion. This "evection resonance" occurs when the apsidal precession…

Earth and Planetary Astrophysics · Physics 2016-04-27 Wenrui Xu , Dong Lai

We consider a two-planet system, which migrates under the influence of dissipative forces that mimic the effects of gas-driven (Type II) migration. It has been shown that, in the planar case, migration leads to resonant capture after an…

Earth and Planetary Astrophysics · Physics 2017-02-10 G. Voyatzis , K. I. Antoniadou , K. Tsiganis

We analyze the possible relationship between the current orbital elements fits of known exoplanets in the 2/1 mean-motion resonance and the expected orbital configuration due to migration. It is found that, as long as the orbital decay was…

Astrophysics · Physics 2009-11-10 C. Beauge , S. Ferraz-Mello , T. A. Michtchenko

We investigate the evolution of two-planet systems embedded in a protoplanetary disc, which are composed of a Jupiter-mass planet plus another body located further out in the disc. We consider outermost planets with masses ranging from 10…

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

We study the establishment of three-planet resonances -similar to the Laplace resonance in the Galilean satellites- and their effects on the mutual inclinations of the orbital planes of the planets, assuming that the latter undergo…

Earth and Planetary Astrophysics · Physics 2015-06-04 A. -S. Libert , K. Tsiganis

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

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

We present families of symmetric and asymmetric periodic orbits at the 1/1 resonance, for a planetary system consisting of a star and two small bodies, in comparison to the star, moving in the same plane under their mutual gravitational…

Earth and Planetary Astrophysics · Physics 2015-05-28 John D. Hadjidemetriou , George Voyatzis

We report in this paper the numerical simulations of the capture into the 3:1 mean-motion resonance between the planet b and c in the 55 Cancri system. The results show that this resonance can be obtained by a differential planetary…

Astrophysics · Physics 2009-11-13 Li-Yong Zhou , Sylvio Ferraz-Mello , Yi-Sui Sun

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