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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

Based on the model described in Ramos et al., 2017, we present an analytical+numerical study of the resonance capture under Type-I migration for the Kepler-25 (Marcy et al., 2014) and K2-24 (Petigura et al., 2016) Kepler systems, both close…

Earth and Planetary Astrophysics · Physics 2018-03-19 C. Charalambous , X. S. Ramos , P. Benítez-Llambay , C. Beaugé

In this paper on mean motion resonances in the Kuiper belt we consider effects on resonant bodies captured in an earlier migration by determining levels of chaos as a function of eccentricity, e, at the most stable orbital configuration. We…

Earth and Planetary Astrophysics · Physics 2014-03-21 Fred Franklin , Paul Soper

We review the orbital stability of the planar circular restricted three-body problem, in the case of massless particles initially located between both massive bodies. We present new estimates of the resonance overlap criterion and the Hill…

Earth and Planetary Astrophysics · Physics 2015-09-16 X. S. Ramos , J. A. Correa-Otto , C. Beaugé

We present two-dimensional hydrodynamical simulations of pairs of planets migrating simultaneously in the Type I regime in a protoplanetary disc. Convergent migration naturally leads to the trapping of these planets in mean-motion…

Earth and Planetary Astrophysics · Physics 2017-12-27 T. O. Hands , R. D. Alexander

Uncovering the formation process that reproduces the distinct properties of compact super-Earth exoplanet systems is a major goal of planet formation theory. The most successful model argues that non-resonant systems begin as resonant…

Earth and Planetary Astrophysics · Physics 2022-08-31 Max Goldberg , Konstantin Batygin , Alessandro Morbidelli

The Kepler mission has discovered that multiple close-in super-Earth planets are common around solar-type stars, but their period ratios do not show strong pile-ups near mean motion resonances (MMRs). One scenario is that super-Earths form…

Earth and Planetary Astrophysics · Physics 2017-04-26 Beibei Liu , Chris W. Ormel , Douglas N. C. Lin

K2-19b and c were among the first planets discovered by NASA's K2 mission and together stand in stark contrast with the physical and orbital properties of the solar system planets. The planets are between the size of Uranus and Saturn at…

A number of giant planet pairs discovered by the radial velocity method with period ratios $\lesssim 2$ may reside in mean motion resonances. Convergent orbital migration and resonant capture at the time of formation would naturally explain…

Earth and Planetary Astrophysics · Physics 2020-08-19 Sam Hadden , Matthew J. Payne

Orbital mean motion resonances in planetary systems originate from dissipative processes in disk-planet interactions that lead to orbital migration. In multi-planet systems that host giant planets, the perturbation of the protoplanetary…

Earth and Planetary Astrophysics · Physics 2018-10-24 Nicolas P. Cimerman , Wilhelm Kley , Rolf Kuiper

The two planets about the star GJ 876 appear to have undergone extensive migration from their point of origin in the protoplanetary disk -- both because of their close proximity to the star (30 and 60 day orbital periods) and because of…

Astrophysics · Physics 2009-11-10 Willy Kley , Man-Hoi Lee , Norman Murray , Stan Peale

Migration of planetary systems caused by the action of dissipative forces may lead the planets to be trapped in a resonance. In this work we study the conditions and the dynamics of such resonant trapping. Particularly, we are interested in…

Earth and Planetary Astrophysics · Physics 2016-11-03 George Voyatzis

Understanding the stability of exoplanet systems is crucial for constraining planetary formation and evolution theories. We use the machine-learning stability indicator, SPOCK, to characterize the stability of 126 high-multiplicity systems…

Earth and Planetary Astrophysics · Physics 2025-01-14 Matthew J. Doty , Lauren M. Weiss , Matthias Y. He , Antoine C. Petit

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

TESS and Kepler have revealed that practically all close-in sub-Neptunes form in mean-motion resonant chains, most of which unravel on timescales of 100 Myr. Using N-body integrations, we study how planetary collisions from destabilized…

Earth and Planetary Astrophysics · Physics 2025-04-17 Rixin Li , Eugene Chiang , Nick Choksi , Fei Dai

A simple question of celestial mechanics is investigated: in what regions of phase space near a binary system can planets persist for long times? The planets are taken to be test particles moving in the field of an eccentric binary system.…

Astrophysics · Physics 2010-04-06 Matthew Holman , Paul Wiegert

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

The observed orbits of extrasolar planets suggest that many giant planets migrate a considerable distance towards their parent star as a result of interactions with the protoplanetary disk, and that some of these planets become trapped in…

Astrophysics · Physics 2009-11-10 Edward W. Thommes , Jack J. Lissauer

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

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