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Related papers: Partial Averaging Near a Resonance in Planetary Dy…

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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

Numerical integrations of the closely-packed inner Uranian satellite system show that variations in semi-major axes can take place simultaneously between three or four consecutive satellites. We find that the three-body Laplace angle values…

Earth and Planetary Astrophysics · Physics 2015-07-29 Alice C. Quillen , Robert S. French

We investigate the orbital dynamics of four-planet systems consisting of Earth-mass planets on initially-circular, coplanar orbits around a star of one solar mass. In our simulations, the innermost planet's semimajor axis is set at 1 AU,…

Earth and Planetary Astrophysics · Physics 2026-05-06 Bennet Outland , Gretchen Noble , Andrew W. Smith , Jack J. Lissauer

The dynamical interactions of planetary systems may be a clue to their formation histories. Therefore, the distribution of these interactions provides important constraints on models of planet formation. We focus on each system's apsidal…

Astrophysics · Physics 2019-02-13 Rory Barnes , Richard Greenberg

We present a numerical method to estimate the strengths of arbitrary three body mean motion resonances between two planets in circular coplanar orbits and a massless particle in an arbitrary orbit. This method allows us to obtain an atlas…

Earth and Planetary Astrophysics · Physics 2015-06-18 Tabaré Gallardo

The orbits in the HD 160691 planetary system at first appeared highly unstable, but using the MEGNO and FLI techniques of global dynamics analysis in the orbital parameter space we have found a stabilizing mechanism that could be the key to…

Astrophysics · Physics 2009-11-07 Eric Bois , Ludmila Kiseleva-Eggleton , Nicolas Rambaux , Elke Pilat-Lohinger

Many extrasolar planetary systems containing multiple super-Earths have been discovered. N-body simulations taking into account standard type-I planetary migration suggest that protoplanets are captured into mean-motion resonant orbits near…

Earth and Planetary Astrophysics · Physics 2015-06-11 Yuji Matsumoto , Makiko Nagasawa , Shigeru Ida

All near-Earth asteroids (NEAs) that reach sufficiently small perihelion distances will undergo a so-called super-catastrophic disruption. The mechanisms causing such disruptions are currently unknown or, at least, undetermined. To help…

Earth and Planetary Astrophysics · Physics 2023-04-04 Athanasia Toliou , Mikael Granvik

The outward migration of a pair of resonant-orbit planets, driven by tidal interactions with a gas-dominated disk, is studied in the context of evolved solar nebula models. The planets' masses, M1 and M2, correspond to those of Jupiter and…

Earth and Planetary Astrophysics · Physics 2015-06-05 Gennaro D'Angelo , Francesco Marzari

Before the launch of the Kepler Space Telescope, models of low-mass planet formation predicted that convergent Type I migration would often produce systems of low-mass planets in low-order mean-motion resonances. Instead, Kepler discovered…

Earth and Planetary Astrophysics · Physics 2023-12-06 Jacob H. Hamer , Kevin C. Schlaufman

The majority of extrasolar planets discovered to date have significantly eccentric orbits, some if not all of which may have been produced through planetary migration. During this process, any planets interior to such an orbit would…

Earth and Planetary Astrophysics · Physics 2009-12-11 Gareth F. Kennedy , Rosemary A. Mardling

A wide range of exoplanet and exomoon models are characterized by a finite average rigidity and a viscosity much lower than the typical values for terrestrials. Such semiliquid bodies may or may not have rigid crusts with permanent figures.…

Earth and Planetary Astrophysics · Physics 2015-09-16 Valeri V. Makarov

Motivated by the population of multi-planet systems with orbital period ratios 1<P2/P1<2, we study the long-term stability of packed two planet systems. The Hamiltonian for two massive planets on nearly circular and nearly coplanar orbits…

Earth and Planetary Astrophysics · Physics 2015-06-16 Katherine M. Deck , Matthew Payne , Matthew J. Holman

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

We use numerical integrations to investigate the dynamical evolution of resonant Trojan and quasi-satellite companions during the late stages of migration of the giant planets Jupiter, Saturn, Uranus, and Neptune. Our migration simulations…

Earth and Planetary Astrophysics · Physics 2015-05-27 Stephen J. Kortenkamp , Emily C. S. Joseph

Close-by planets may excite various kinds of oscillations in their host stars through their time-varying tidal potential. Magnetostrophic oscillations with a frequency much smaller than the stellar rotation frequency have recently been…

Earth and Planetary Astrophysics · Physics 2022-09-14 A. F. Lanza

We investigate the evolution of a system of two super-Earths with masses < 4 Earth masses embedded in a turbulent protoplanetary disk. The aim is to examine whether or not resonant trapping can occur and be maintained in presence of…

Earth and Planetary Astrophysics · Physics 2015-05-27 A. Pierens , C. Baruteau , F. Hersant

Context. Planetary migration models predict multiple planets captured into a chain of mean-motion resonances during the disk phase. Over a dozen systems have been observed in these configurations, nearly all close-in planets, with a lack of…

Earth and Planetary Astrophysics · Physics 2025-04-23 C. Charalambous , N. Cuello , C. Petrovich

We determine, analytically and numerically, the conditions needed for a system of two migrating planets trapped in a 2:1 mean motion resonance to enter an inclination-type resonance. We provide an expression for the asymptotic equilibrium…

Earth and Planetary Astrophysics · Physics 2015-06-19 Jean Teyssandier , Caroline Terquem

The relationship between the boundaries for Hill and Lagrange stability in orbital element space is modified in the case of resonantly interacting planets. Hill stability requires the ordering of the planets to remain constant while…

Astrophysics · Physics 2019-08-19 Rory Barnes , Richard Greenberg