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Related papers: Breaking mean-motion resonances during Type I plan…

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Recent observations of Kepler multi-planet systems have revealed a number of systems with planets very close to second-order mean motion resonances (MMRs, with period ratio $1:3$, $3:5$, etc.) We present an analytic study of resonance…

Earth and Planetary Astrophysics · Physics 2021-11-03 Wenrui Xu , Dong Lai

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

Resonant planetary migration in protoplanetary discs can lead to an interplay between the resonant interaction of planets and their disc torques called overstability. While theoretical predictions and N-body simulations hinted at its…

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

Convergent migration involving multiple planets embedded in a viscous protoplanetary disc is expected to produce a chain of planets in mean motion resonances, but the multiplanet systems observed by the Kepler spacecraft are generally not…

Earth and Planetary Astrophysics · Physics 2019-07-31 Colin P. McNally , Richard P. Nelson , Sijme-Jan Paardekooper

The most accurate method for modelling planetary migration and hence the formation of resonant systems is using hydrodynamical simulations. Usually, the force (torque) acting on a planet is calculated using the forces from the gas disc and…

Earth and Planetary Astrophysics · Physics 2020-04-08 S. Ataiee , W. Kley

When two planets are born in a protoplanetary disk, they may enter into a mean-motion resonance as a consequence of the convergent planetary migration. The formation of mean-motion resonances is important for understanding how the planetary…

Earth and Planetary Astrophysics · Physics 2020-05-13 Kazuhiro D. Kanagawa , Ewa Szuszkiewicz

We investigate the inclination-growth mechanisms for two-planet systems during the late protoplanetary disc phase. In previous works, much attention has been directed to the inclination-type resonance, and it has been shown that it asks for…

Earth and Planetary Astrophysics · Physics 2021-04-28 Sotiris Sotiriadis , Anne-Sophie Libert

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

Planetary formation theories and, more specifically, migration models predict that planets can be captured in mean-motion resonances (MMRs) during the disc phase. The distribution of period ratios between adjacent planets shows an…

Earth and Planetary Astrophysics · Physics 2022-06-22 Carolina Charalambous , Jean Teyssandier , Anne-Sophie Libert

We investigate orbital resonances expected to arise when a system of two planets, with masses in the range 1-4 Earth masses, undergoes convergent migration while embedded in a section of gaseous disc where the flow is laminar. We consider…

Astrophysics · Physics 2009-11-13 J. C. B. Papaloizou , E. Szuszkiewicz

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

We consider the dynamical evolution of two planets orbiting in the vicinity of a first order mean motion reso- nance while simultaneously undergoing eccentricity damping and convergent migration. Following Goldreich & Schlichting (2014), we…

Earth and Planetary Astrophysics · Physics 2015-09-23 Katherine M. Deck , Konstantin Batygin

Migration is a key ingredient for the formation of close-in super-Earth and mini-Neptune systems, as it sets in which resonances planets can be trapped. Slower migration rates result in wider resonance configurations compared to higher…

Earth and Planetary Astrophysics · Physics 2024-12-18 Bertram Bitsch , Andre Izidoro

We present a mechanism related to the migration of giant protoplanets embedded in a protoplanetary disc whereby a giant protoplanet is caught up, before having migrated all the way to the central star, by a lighter outer giant protoplanet.…

Astrophysics · Physics 2009-10-31 F. Masset , M. Snellgrove

A large planet orbiting a star in a protoplanetary disk opens a density gap along its orbit due to the strong disk-planet interaction and migrates with the gap in the disk. It is expected that in the ideal case, a gap-opening planet…

Earth and Planetary Astrophysics · Physics 2018-07-25 Kazuhiro D. Kanagawa , Hidekazu Tanaka , Ewa Szuszkiewicz

Earth-mass planets embedded in gaseous protoplanetary disks undergo Type I orbital migration. In radiative disks an additional component of the corotation torque scaling with the entropy gradient across the horseshoe region can counteract…

Earth and Planetary Astrophysics · Physics 2015-06-15 Christophe Cossou , Sean Raymond , Arnaud Pierens

In this work, we study the dynamics of two less massive objects moving around a central massive object, which are all embedded within a thin accretion disc. In addition to the gravitational interaction between these objects, the disc-object…

Earth and Planetary Astrophysics · Physics 2024-09-09 Huan Yang , Ya-Ping Li

By performing global hydrodynamical simulations of accretion discs with driven turbulence models, we demonstrate that elevated levels of turbulence induce highly stochastic migration torques on low-mass companions embedded in these discs.…

Earth and Planetary Astrophysics · Physics 2023-11-30 Yinhao Wu , Yi-Xian Chen , Douglas N. C. Lin

Planets close to their stars are thought to form farther out and migrate inward due to angular momentum exchange with gaseous protoplanetary disks. This process can produce systems of planets in co-orbital (Trojan or 1:1) resonance, in…

Earth and Planetary Astrophysics · Physics 2015-06-19 Arnaud Pierens , Sean Raymond
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