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Exoplanet systems with multiple planets in mean motion resonances have often been hailed as a signpost of disk driven migration. Resonant chains like Kepler-223 and Kepler-80 consist of a trio of planets with the three-body resonant angle…

Earth and Planetary Astrophysics · Physics 2020-12-09 Sarah J. Morrison , Rebekah I. Dawson , Mariah G. MacDonald

The identification of mean motion resonances in exoplanetary systems or in the Solar System might be cumbersome when several planets and large number of smaller bodies are to be considered. Based on the geometrical meaning of the resonance…

Earth and Planetary Astrophysics · Physics 2018-03-21 E. Forgács-Dajka , Zs. Sándor , B. Érdi

The multiple-planet systems discovered by the Kepler mission exhibit the following feature: planet pairs near first-order mean-motion resonances prefer orbits just outside the nominal resonance, while avoiding those just inside the…

Earth and Planetary Astrophysics · Physics 2013-05-24 Cristobal Petrovich , Renu Malhotra , Scott Tremaine

The Kepler mission has discovered a plethora of multiple transiting planet candidate exosystems, many of which feature putative pairs of planets near mean motion resonance commensurabilities. Identifying potentially resonant systems could…

Earth and Planetary Astrophysics · Physics 2015-06-03 Dimitri Veras , Eric B. Ford

GAIA leads us to step into a new era with a high astrometry precision of 10 uas. Under such a precision, astrometry will play important roles in detecting and characterizing exoplanets. Specially, we can identify planet pairs in mean motion…

Earth and Planetary Astrophysics · Physics 2016-12-23 Dong-Hong Wu , Hui-Gen Liu , Zhou-Yi Yu , Hui-Zhang , Ji-Lin Zhou

The presence of mean-motion resonances (MMRs) in exoplanetary systems is a new exciting field of celestial mechanics which motivates us to consider this work to study the dynamical behaviour of exoplanetary systems by time evolution of the…

Earth and Planetary Astrophysics · Physics 2016-02-15 Rajib Mia , Badam Singh Kushvah

Among $\sim 160$ of the multiple exoplanetary systems confirmed, about $30\%$ of them have neighboring pairs with a period ratio $\leq 2$. A significant fraction of these pairs are around mean motion resonance (MMR), more interestingly,…

Earth and Planetary Astrophysics · Physics 2015-06-22 Xiaojia Zhang , Hui Li , Shengtai Li , Douglas N. C. Lin

Space missions have discovered a large number of exoplanets evolving in (or close to) mean-motion resonances (MMRs) and resonant chains. Often, the published data exhibit very high uncertainties due to the observational limitations that…

Earth and Planetary Astrophysics · Physics 2022-05-25 Kyriaki I. Antoniadou , George Voyatzis

The Kepler mission has released over 4496 planetary candidates, among which 3483 planets have been confirmed as of April 2017. The statistical results of the planets show that there are two peaks around 1.5 and 2.0 in the distribution of…

Earth and Planetary Astrophysics · Physics 2017-11-29 Su Wang , Jianghui Ji

Many multi-planet systems have been discovered in recent years. Some of them are in mean-motion resonances (MMR). Planet formation theory was successful in explaining the formation of 2:1, 3:1 and other low resonances as a result of…

Earth and Planetary Astrophysics · Physics 2014-11-20 Hanno Rein , John C. B. Papaloizou

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

The traditional approach to analyzing mean motion resonances is through canonical perturbation theory. While this is a powerful method, its generality leads to complicated combinations of variables that are challenging to interpret and…

Earth and Planetary Astrophysics · Physics 2025-03-27 Daniel Tamayo , Samuel Hadden

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

Mean-motion resonances (MMRs) are likely to play an important role both during and after the lifetime of a protostellar gas disk. We study the dynamical evolution and stability of planetary systems containing two giant planets on circular…

Astrophysics · Physics 2009-06-23 Aaron T. Lee , Edward W. Thommes , Frederic A. Rasio

We assess the multi-planet systems discovered by the Kepler satellite in terms of current ideas about orbital migration and eccentricity damping due to planet-disk interactions. Our primary focus is on mean motion resonances. Only a few…

Earth and Planetary Astrophysics · Physics 2015-06-17 Peter Goldreich , Hilke E. Schlichting

Recent observations of Kepler multi-planet systems have revealed a number of systems with planets very close to second-order mean motion resonances (MMRs, with period ratio $1:3$, $3:5$, etc.) We present an analytic study of resonance…

Earth and Planetary Astrophysics · Physics 2021-11-03 Wenrui Xu , Dong Lai

Many extrasolar systems possessing planets in mean-motion resonance or resonant chain have been discovered to date. The transit method coupled with transit timing variation analysis provides an insight into the physical and orbital…

Earth and Planetary Astrophysics · Physics 2020-08-19 Kyriaki I. Antoniadou , Anne-Sophie Libert

The orbits of the confirmed exoplanets from all multiple systems known to date are investigated. Observational data from 1890 objects, of which 1176 are found in multiplanetary systems, are compiled and analyzed. Mean motion resonances and…

Earth and Planetary Astrophysics · Physics 2015-02-26 Marian C. Ghilea

Short-period super-Earths and mini-Neptunes encircle more than $\sim50\%$ of Sun-like stars and are relatively amenable to direct observational characterization. Despite this, environments in which these planets accrete are difficult to…

Earth and Planetary Astrophysics · Physics 2023-05-04 Max Goldberg , Konstantin Batygin
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