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The dynamical evolution of terrestrial planets resembling Mercury in the vicinity of spin-orbit resonances is investigated using comprehensive harmonic expansions of the tidal torque taking into account the frequency-dependent quality…

Earth and Planetary Astrophysics · Physics 2015-05-30 Valeri V. Makarov

We investigate the stability of prograde versus retrograde planets in circular binary systems using numerical simulations. We show that retrograde planets are stable up to distances closer to the perturber than prograde planets. We develop…

Earth and Planetary Astrophysics · Physics 2013-08-09 M. H. M. Morais , C. A. Giuppone

This paper continues previous work on the effects of turbulence on mean motion resonances in extrasolar planetary systems. Turbulence is expected to arise in the disks that form planets, and these fluctuations act to compromise resonant…

Astrophysics · Physics 2014-11-18 Daniel Lecoanet , Fred C. Adams , Anthony M. Bloch

(Abridged) A diversity of 2:1 resonance configurations can be expected in extrasolar planetary systems, and their geometry can provide information about the origin of the resonances. Assembly during planet formation by the differential…

Astrophysics · Physics 2007-05-23 Man Hoi Lee

We examine the effects that dynamical instability has on shaping the orbital properties of exoplanetary systems. Using N-body simulations of non-EMS (Equal Mutual Separation), multi-planet systems we find that the lower limit of the…

Earth and Planetary Astrophysics · Physics 2019-02-01 Dong-Hong Wu , Rachel C. Zhang , Ji-Lin Zhou , Jason H. Steffen

Most of the planetary systems discovered around binary stars are located at approximately three semi-major axes from the barycentre of their system, curiously close to low-order mean-motion resonances (MMRs). The formation mechanism of…

Earth and Planetary Astrophysics · Physics 2023-01-25 Emmanuel Gianuzzi , Cristian A. Giuppone , Nicolás Cuello

Many multiple-planet systems have been found by the Kepler transit survey and various radial velocity (RV) surveys. Kepler planets show an asymmetric feature, namely, there are small but significant deficits/excesses of planet pairs with…

Earth and Planetary Astrophysics · Physics 2016-09-29 Ji-Wei Xie

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

In previous hydrodynamical simulations, we found a mechanism for nearly circular binary stars, like Kepler-413, to trap two planets in a stable 1:1 resonance. Therefore, the stability of coorbital configurations becomes a relevant question…

Earth and Planetary Astrophysics · Physics 2023-12-06 Stefan Adelbert , Anna B. T. Penzlin , Christoph M. Schäfer , Wilhelm Kley , Billy Quarles , Rafael Sfair

Recent studies on planet-dominated Type II migration demonstrated the presence of a correlation between the direction of planet migration and the parameter K describing the depth of the planetary gap. It was found that high (low) value for…

Earth and Planetary Astrophysics · Physics 2025-10-23 Chiara E. Scardoni , Giovanni P. Rosotti , Cathie J. Clarke , Enrico Ragusa , Richard A. Booth

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 Mustill , Mark Wyatt

We considered the problem of stability for planets of finite mass in binary star systems. We selected a huge set of initial conditions for planetary orbits of the S-type, to perform high precision and very extended in time integrations. For…

Earth and Planetary Astrophysics · Physics 2020-08-26 Roberto Capuzzo-Dolcetta , Giovanni De Cesare , Alessio Marino

We present a series of dynamical maps for fictitious 3-planets systems in initially circular coplanar orbits. These maps have unveiled a rich resonant structure involving two or three planets, as well as indicating possible migration routes…

Earth and Planetary Astrophysics · Physics 2018-03-28 C. Charalambous , J. G. Martí , C. Beaugé , X. S. Ramos

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

Observations of exoplanets have revealed that systems with planets on closely-spaced orbits are common, which motivates the question "How closely can planets orbit to one another and still be dynamically-stable for very long times?". To…

Earth and Planetary Astrophysics · Physics 2020-07-28 Pierre Gratia , Jack J. Lissauer

We study the formation of the 9:7 mean motion resonance in a system of two low-mass planets ($m_{1}=m_{2}=3M_{\oplus}$) embedded in a gaseous protoplanetary disk employing a full 2D hydrodynamic treatment of the disk-planet interactions.…

Earth and Planetary Astrophysics · Physics 2019-02-20 Zijia Cui , John C. B. Papaloizou , Ewa Szuszkiewicz

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

An intriguing trend among \kepler's multi-planet systems is an overabundance of planet pairs with period ratios just wide of a mean motion resonance (MMR) and a dearth of systems just narrow of them. Traditional planet formation models are…

Earth and Planetary Astrophysics · Physics 2015-06-19 Sourav Chatterjee , Eric B. Ford

Although resonant planets have orbital periods near commensurability, resonance is also dictated by other factors, such as the planets' eccentricities and masses, and therefore must be confirmed through a study of the system's dynamics.…

Earth and Planetary Astrophysics · Physics 2023-07-19 Tyler Quinn , Mariah MacDonald

Transit surveys have revealed a significant population of compact multi-planet systems, containing several sub-Neptune-mass planets on close-in, tightly-packed orbits. These systems are thought to have formed through a final phase of giant…

Earth and Planetary Astrophysics · Physics 2021-07-21 Samuel W. Yee , Daniel Tamayo , Samuel Hadden , Joshua N. Winn