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Multi-planetary systems detected by the Kepler mission present an excess of planets close to first-order mean-motion resonances (2:1 and 3:2) but with a period ratio slightly higher than the resonant value. Several mechanisms have been…

Earth and Planetary Astrophysics · Physics 2014-10-22 J. -B. Delisle , J. Laskar

We study systems of close orbiting planets evolving under the influence of tidal circularization. It is supposed that a commensurability forms through the action of disk induced migration and orbital circularization. After the system enters…

Earth and Planetary Astrophysics · Physics 2015-05-28 J. C. B. Papaloizou

The multiple-planet systems discovered by the Kepler mission show an excess of planet pairs with period ratios just wide of exact commensurability for first-order resonances like 2:1 and 3:2. In principle, these planet pairs could have both…

Earth and Planetary Astrophysics · Physics 2015-06-16 Man Hoi Lee , D. Fabrycky , D. N. C. Lin

Close-in planetary systems detected by the Kepler mission present an excess of periods ratio that are just slightly larger than some low order resonant values. This feature occurs naturally when resonant couples undergo dissipation that…

Earth and Planetary Astrophysics · Physics 2015-06-05 J. -B. Delisle , J. Laskar , A. C. M. Correia , G. Boué

We study the orbital evolution of a three planet system with masses in the super-Earth regime resulting from the action of tides on the planets induced by the central star which cause orbital circularization. We consider systems either in…

Earth and Planetary Astrophysics · Physics 2015-06-19 John C. B. Papaloizou

The efficiency of tidal dissipation provides a zeroth-order link to a planet's physical properties. For super-Earth and sub-Neptune planets in the range $R_{\oplus}\lesssim R_p \lesssim 4 R_{\oplus}$, particularly efficient dissipation…

Earth and Planetary Astrophysics · Physics 2023-11-08 Emma Louden , Gregory Laughlin , Sarah Millholland

Planetary systems discovered by the Kepler space telescope exhibit an intriguing feature. While the period ratios of adjacent low-mass planets appear largely random, there is a significant excess of pairs that lie just wide of resonances…

Earth and Planetary Astrophysics · Physics 2012-09-04 Yoram Lithwick , Yanqin Wu

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

A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean motion resonances. However, the relative remoteness of such systems from nominal…

Earth and Planetary Astrophysics · Physics 2015-06-04 Konstantin Batygin , 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

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

Among $\sim 160$ of the multiple exoplanetary systems confirmed, about $30\%$ of them have neighboring pairs with a period ratio $\leq 2$. A significant fraction of these pairs are around mean motion resonance (MMR), more interestingly,…

Earth and Planetary Astrophysics · Physics 2015-06-22 Xiaojia Zhang , Hui Li , Shengtai Li , Douglas N. C. Lin

In this paper, we study the behavior of a pair of co-orbital planets, both orbiting a central star on the same plane and undergoing tidal interactions. Our goal is to investigate final orbital configurations of the planets, initially…

Earth and Planetary Astrophysics · Physics 2015-06-16 Adrián Rodríguez , Cristian A. Giuppone , Tatiana A. Michtchenko

In some planetary systems, the orbital periods of two of its members present a commensurability, usually known by mean-motion resonance. These resonances greatly enhance the mutual gravitational influence of the planets. As a consequence,…

Earth and Planetary Astrophysics · Physics 2019-09-18 Alexandre C. M. Correia , Jean-Baptiste Delisle , Jacques Laskar

Intermediate mass stars and stellar remnants often host planets, and these dynamical systems evolve because of mass loss and tides. This paper considers the combined action of stellar mass loss and tidal dissipation on planetary orbits in…

Solar and Stellar Astrophysics · Physics 2015-06-17 Fred C. Adams , Anthony M. Bloch

Co-orbital planets (in a $1:1$ mean motion resonance) can be formed within a Laplace resonance chain. Here, we develop a secular model to study the dynamics of the resonance chain $p:p:p+1$, where the co-orbital pair is in a first-order…

Earth and Planetary Astrophysics · Physics 2022-08-10 Jérémy Couturier , Philippe Robutel , Alexandre C. M. Correia

In order to explain the significant orbital eccentricity of the short-period transiting Neptune-mass planet GJ 436b and at the same time satisfy various observational constraints and anomalies, Ribas, Font-Ribera and Beaulieu have proposed…

Astrophysics · Physics 2008-05-15 Rosemary A. Mardling

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

Context: In the early evolution of a planetary system, a pair of planets may be captured in a mean motion resonance while still embedded in their nesting circumstellar disk. Aims: The goal is to estimate the direction and amount of shift in…

Earth and Planetary Astrophysics · Physics 2018-03-21 F. Marzari

We study tidal dissipation in stars with masses in the range $0.1-1.6 M_\odot$ throughout their evolution, including turbulent effective viscosity acting on equilibrium tides and inertial waves in convection zones, and internal gravity…

Earth and Planetary Astrophysics · Physics 2020-09-09 Adrian J. Barker
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