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Despite decades of inquiry, the origin of giant planets residing within a few tenths of an astronomical unit from their host stars remains unclear. Traditionally, these objects are thought to have formed further out before subsequently…

Earth and Planetary Astrophysics · Physics 2017-08-23 Christopher Spalding , Konstantin Batygin

A number of Kepler planet pairs lie just wide of first-order mean motion resonances (MMRs). Tides have been frequently proposed to explain these pileups, but it is still an ongoing discussion. We contribute to this discussion by calculating…

Earth and Planetary Astrophysics · Physics 2015-09-30 Ari Silburt , Hanno Rein

Exoplanets are often found with short periods or high eccentricities, and multiple-planet systems are often in resonance. They require dynamical theories that describe more extreme motions than those of the relatively placid planetary…

Earth and Planetary Astrophysics · Physics 2010-06-22 Daniel C. Fabrycky

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

This paper considers whether the population of known transiting exoplanets provides evidence for additional outer planets on inclined orbits, due to the perturbing effect of such planets on the orbits of inner planets. As such, we develop a…

Earth and Planetary Astrophysics · Physics 2017-05-31 Matthew J. Read , Mark C. Wyatt , Amaury H. M. J. Triaud

This paper explores the intermediate-time dynamics of newly formed solar systems with a focus on possible mechanisms for planetary migration. We consider two limiting corners of the available parameter space -- crowded systems containing…

Astrophysics · Physics 2009-11-07 Fred C. Adams , Greg Laughlin

We investigate the distributions of the orbital period ratios of adjacent planets in high multiplicity \kepler\ systems (four or more planets) and low multiplicity systems (two planets). Modeling the low multiplicity sample as essentially…

Earth and Planetary Astrophysics · Physics 2015-06-12 Jason H. Steffen

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

Observations in the past decade have revealed extrasolar planets with a wide range of orbital semimajor axes and eccentricities. Based on the present understanding of planet formation via core accretion and oligarchic growth, we expect that…

Astrophysics · Physics 2008-12-18 Sourav Chatterjee , Eric B. Ford , Soko Matsumura , Frederic A. Rasio

Recent observations have revealed the distribution of orbital period ratios of adjacent planets in multiple super-Earth systems and how these distributions change with time. The aim of this study is to clarify under what conditions the…

Earth and Planetary Astrophysics · Physics 2025-11-17 Masahiro Ogihara , Masanobu Kunitomo

The recently discovered planetary system HD45364 which consists of a Jupiter and Saturn mass planet is very likely in a 3:2 mean motion resonance. The standard scenario to form planetary commensurabilities is convergent migration of two…

Earth and Planetary Astrophysics · Physics 2010-01-29 Hanno Rein , John C. B. Papaloizou , Wilhelm Kley

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

The limited completeness of the Kepler sample for planets with orbital periods $\gtrsim$ 1 yr leaves open the possibility that exoplanetary systems may host undetected giant planets. Should such planets exist, their dynamical interactions…

Earth and Planetary Astrophysics · Physics 2016-01-20 T. O. Hands , R. D. Alexander

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

Observations of exoplanetary systems provide clues about the intrinsic distribution of planetary systems, their architectures, and how they formed. We develop a forward modelling framework for generating populations of planetary systems and…

Earth and Planetary Astrophysics · Physics 2019-11-18 Matthias Y. He , Eric B. Ford , Darin Ragozzine

Many exo-solar systems discovered in the last decade consist of planets orbiting in resonant configurations and consequently, their evolution should show long-term stability. However, due to the mutual planetary interactions a multi-planet…

Earth and Planetary Astrophysics · Physics 2013-06-12 George Voyatzis , Kyriaki I. Antoniadou , John D. Hadjidemetriou

A leading model for the origin of super-Earths proposes that planetary embryos migrate inward and pile up on close-in orbits. As large embryos are thought to preferentially form beyond the snow line, this naively predicts that most…

Earth and Planetary Astrophysics · Physics 2018-07-06 Sean N. Raymond , Thibault Boulet , Andre Izidoro , Leandro Esteves , Bertram Bitsch

There is evidence that most chains of mean motion resonances of type $k$:$k-1$ among exoplanets become unstable once the dissipative action from the gas is removed from the system, particularly for large $N$ (the number of planets) and $k$…

Earth and Planetary Astrophysics · Physics 2020-05-06 Gabriele Pichierri , Alessandro Morbidelli

Several circumbinary planets have been detected by the Kepler mission. Recent work has emphasized the difficulty of forming these planets at their observed locations. It has been suggested that these planets formed further out in their…

Earth and Planetary Astrophysics · Physics 2015-06-16 Arnaud Pierens , Richard P. Nelson