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Related papers: Resonance Capture and Stability Analysis for Plane…

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In this paper we present numerical simulations of the evolution of planets or massive satellites captured in the 2/1 and 3/1 resonances, under the action of an anti-dissipative tidal force. The evolution of resonant trapped bodies show a…

Astrophysics · Physics 2023-07-19 S. Ferraz-Mello , C. Beauge , T. A. Michtchenko

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

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…

Resonant populations of trans-Neptunian objects serve as crucial dynamical archives for unraveling the early migratory history of the Solar System. A quantitative assessment of the capture efficiency into various mean motion resonances…

Earth and Planetary Astrophysics · Physics 2026-05-12 Hailiang Li , Li-Yong Zhou , Xiaoping Zhang

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

Mean-motion resonances are expected to frequently arise at the inner edges of protoplanetary disks, where planet-disk interactions facilitate large-scale orbital convergence. Under certain conditions, however, the same dissipative forces…

Earth and Planetary Astrophysics · Physics 2026-04-29 Konstantin Batygin , Ian R. Brunton , 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

This paper presents a generalized treatment of Type I planetary migration in the presence of stochastic perturbations. In many planet-forming disks, the Type I migration mechanism, driven by asymmetric torques, acts on a short time scale…

Earth and Planetary Astrophysics · Physics 2011-02-11 Fred C. Adams , Anthony M. Bloch

Using orbital integration and analytical arguments, we have found a new mechanism (an "eccentricity trap") to halt type I migration of planets near the inner edge of a protoplanetary disk. Because asymmetric eccentricity damping due to…

Earth and Planetary Astrophysics · Physics 2015-05-19 Masahiro Ogihara , Martin J. Duncan , Shigeru Ida

We present new results related to the coupled evolution of a two giant planet system embedded in a protoplanetary disk, in which a Saturn mass protoplanet is trapped in an outer mean motion resonance with a Jupiter mass protoplanet. The…

Astrophysics · Physics 2007-05-23 F. Masset , M. Snellgrove

Some quadruple star systems in the hierarchical 2+2 configuration exhibit orbit-orbit resonances between the two compact binaries. We show that the most important resonances occur at period ratios of 1:1, 3:2 and 2:1. We describe the…

Solar and Stellar Astrophysics · Physics 2020-04-08 Scott Tremaine

The formation of multiple close-in low-mass exoplanets is still a mystery. The challenge is to build a system wherein the outermost planet is beyond 0.2 AU from the star. Here we investigate how the prescription for type I planet migration…

Earth and Planetary Astrophysics · Physics 2018-09-05 R. Brasser , S. Matsumura , T. Muto , S. Ida

We examine the eccentricity evolution of a system of two planets locked in a mean motion resonance, in which the outer planet loses energy and angular momentum. The sink of energy and angular momentum could be either a gas or planetesimal…

Astrophysics · Physics 2009-11-06 N. Murray , M. Paskowitz , M. Holman

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

Dust grains migrating under Poynting-Robertson drag may be trapped in mean-motion resonances with planets. Such resonantly trapped grains are observed in the solar system. In extrasolar systems, the exozodiacal light produced by dust grains…

Earth and Planetary Astrophysics · Physics 2015-02-27 Andrew Shannon , Alexander J Mustill , Mark Wyatt

Super-Earths can form at large orbital radii and migrate inward due to tidal interactions with the circumstellar disk. In this scenario, convergent migration may occur and lead to the formation of resonant pairs of planets. We explore the…

Earth and Planetary Astrophysics · Physics 2020-09-30 Francesco Marzari , Gennaro D'Angelo

A residual planetesimal disk of mass 10-100 Earth masses remained in the outer solar system following the birth of the giant planets, as implied by the existence of the Oort cloud, coagulation requirements for Pluto, and inefficiencies in…

Astrophysics · Physics 2008-11-26 Ruth A. Murray-Clay , Eugene I. Chiang

Following the general numerical analysis of Melita and Woolfson (1996), I showed in a recent paper that a restricted, planar, circular planetary system consisting of Sun, Jupiter and Saturn would be captured in a near (2:1) resonance when…

Astrophysics · Physics 2016-08-30 Nader Haghighipour

The effect of radial drift rate on mean motion resonance capture is studied for prograde, polar and retrograde orbits. We employ the numerical framework of our earlier exploration of resonance capture at arbitrary inclination. Randomly…

Earth and Planetary Astrophysics · Physics 2017-02-02 Fathi Namouni , Maria Helena Moreira Morais

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