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Many of exoplanetary systems consist of more than one planet and the study of planetary orbits with respect to their long-term stability is very interesting. Furthermore, many exoplanets seem to be locked in a mean-motion resonance (MMR),…

Earth and Planetary Astrophysics · Physics 2017-02-10 Kyriaki I. Antoniadou

We estimate the conditions for detectability of two planets in a 2/1 mean-motion resonance from radial velocity data, as a function of their masses, number of observations and the signal-to-noise ratio. Even for a data set of the order of…

Earth and Planetary Astrophysics · Physics 2009-07-22 C. A. Giuppone , M. Tadeu dos Santos , C. Beaugé , S. Ferraz-Mello , T. A. Michtchenko

A question driving many studies is whether the thousands of exoplanets known today typically formed where we observe them or formed further out in the disk and migrated in. Early discoveries of giant exoplanets orbiting near their host…

Earth and Planetary Astrophysics · Physics 2018-11-07 Mariah G. MacDonald , Rebekah I. Dawson

Capture into mean motion resonance (MMR) is an important dynamical mechanism as it shapes the final architecture of a planetary system. We simulate systems of two or three planets undergoing migration with varied initial parameters such as…

Earth and Planetary Astrophysics · Physics 2023-01-11 Kaltrina Kajtazi , Antoine C. Petit , Anders Johansen

In this paper, we consider the chain of resonances in the Kepler-80 system and evaluate the impact that the additional member of the resonant chain discovered by Shallue & Vanderburg (2018) has on the dynamics of the system and the physical…

Earth and Planetary Astrophysics · Physics 2023-02-15 Drew Weisserman , Juliette Becker , Andrew Vanderburg

The Kepler mission has released ~4229 transiting planet candidates. There are approximately 222 candidate systems with three planets. Among them, the period ratios of planet pairs near 1.5 and 2.0 reveal that two peaks exist for which the…

Earth and Planetary Astrophysics · Physics 2015-06-22 Su Wang , Jianghui Ji

Resonant planetary systems contain at least one planet pair with orbital periods librating at a near-integer ratio (2/1, 3/2, 4/3, etc.) and are a natural outcome of standard planetary formation theories. Systems with multiple adjacent…

Earth and Planetary Astrophysics · Physics 2021-06-09 Jared Siegel , Daniel Fabrycky

We analyze the distribution of known multi-planet systems ($N \geq 3$) in the plane of mean-motion ratios, and compare it with the resonance web generated by two-planet mean-motion resonances (2P-MMR) and pure 3-planet commensurabilities…

Earth and Planetary Astrophysics · Physics 2022-05-05 Matías Cerioni , Cristian Beaugé , Tabaré Gallardo

Second-order mean-motion resonances lead to an interesting phenomenon in the sculpting of the period ratio distribution due to their shape and width in period-ratio/eccentricity space. As the osculating periods librate in resonance, the…

Earth and Planetary Astrophysics · Physics 2021-12-22 Nora Bailey , Gregory Gilbert , Daniel Fabrycky

In this work, we investigate configuration formation of two inner terrestrial planets near mean motion resonance (MMRs) induced by the perturbation of a distant gas-giant for the Kepler-68 system, by conducting thousands of numerical…

Earth and Planetary Astrophysics · Physics 2021-12-10 Mengrui Pan , Su Wang , Jianghui Ji

Multiple planets undergoing disk migration may be captured into a chain of mean-motion resonances with the innermost planet parked near the disk's inner edge. Subsequent dynamical evolution may disrupt these resonances, leading to the…

The observed census of resonant extrasolar planets spans a tantalizing display of orbital architectures, ranging from familiar 2:1 and 3:2 mean-motion commensurabilities to nearly co-orbital configurations characterized by period ratios…

Earth and Planetary Astrophysics · Physics 2026-03-31 Konstantin Batygin , Alessandro Morbidelli

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

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

Multi-planet systems detected until now are in most cases characterized by hot-Jupiters close to their central star as well as high eccentricities. As a consequence, from a dynamical point of view, compact multi-planetary systems form a…

Astrophysics · Physics 2009-02-03 Julie Gayon , Eric Bois

The growing number of exoplanet discoveries and advances in machine learning techniques have opened new avenues for exploring and understanding the characteristics of worlds beyond our Solar System. In this study, we employ efficient…

Earth and Planetary Astrophysics · Physics 2023-08-29 Mahdiyar Mousavi-Sadr , Davood M. Jassur , Ghassem Gozaliasl

A commonly noted feature of the population of multi-planet extrasolar systems is the rarity of planet pairs in low-order mean-motion resonances. We revisit the physics of resonance capture via convergent disk-driven migration. We point out…

Earth and Planetary Astrophysics · Physics 2017-05-02 Margaret Pan , Hilke E. Schlichting

Mean motion resonances [MMRs] play an important role in the formation and evolution of planetary systems and have significantly influenced the orbital properties and distribution of planets and minor planets in the solar system as well as…

Earth and Planetary Astrophysics · Physics 2017-06-28 Xianyu Wang , Renu Malhotra

Our aim is to identify and classify mean-motion resonances (MMRs) for the coplanar circular restricted three-body problem (CR3BP) for mass ratios between 0.10 and 0.50. Our methods include the maximum Lyapunov exponent, which is used as an…

Earth and Planetary Astrophysics · Physics 2015-06-05 Billy Quarles , Zdzislaw Musielak , Manfred Cuntz

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