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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

The discovery of young (<800 Myr) transiting planets has provided a new avenue to explore how planets form and evolve over their lifetimes. Mass measurements for these planets would be invaluable, but radial velocity surveys of young…

Earth and Planetary Astrophysics · Physics 2025-12-09 Ana Isabel Lopez Murillo , Andrew W. Mann , Madyson G. Barber , Andrew Vanderburg , Pa Chia Thao , Andrew W. Boyle

In this work, we extensively investigate the formation of near 4:2:1 mean motion resonances (MMRs) configuration by performing two sets of N-body simulations. We model the eccentricity damping, gas drag, type I and type II planetary…

Earth and Planetary Astrophysics · Physics 2017-02-22 Zhao Sun , Jianghui Ji , Su Wang , Sheng Jin

We have carried out an extensive study of the possibility of the detection of Earth-mass and super-Earth Trojan planets using transit timing variation method with the Kepler space telescope. We have considered a system consisting of a…

Earth and Planetary Astrophysics · Physics 2015-06-16 Nader Haghighipour , Stephanie Capen , Tobias C. Hinse

We investigate how the conditions occurring in a protoplanetary disc may determine the final structure of a planetary system emerging from such a disc. We concentrate our attention on the dynamical interactions between disc and planets…

Earth and Planetary Astrophysics · Physics 2015-05-28 E. Podlewska-Gaca , E. Szuszkiewicz

The presence of mean motion resonances (MMRs) complicates analysis and fitting of planetary systems observed through the radial velocity (RV) technique. MMR can allow planets to remain stable in regions of phase space where strong…

Earth and Planetary Astrophysics · Physics 2019-09-25 M. M. Rosenthal , W. Jacobson-Galan , B. Nelson , R. A. Murray-Clay , J. A. Burt , B. Holden , E. Chang , N. Kaaz , J. Yant , R. P. Butler , S. S. Vogt

Nontransiting planets can reveal themselves through transit timing variations (TTVs), but inferring the properties of the perturbing planet is a highly degenerate inverse problem. We present a systematic reassessment of all 12 published…

Earth and Planetary Astrophysics · Physics 2026-05-11 Caleb Lammers , Joshua N. Winn

Transit Timing Variations (TTVs) can be induced by a range of physical phenomena, including planet-planet interactions, planet-moon interactions, and stellar activity. Recent work has shown that roughly half of moons would induce fast TTVs…

TRAPPIST-1 is a late M-dwarf orbited by seven Earth-sized planets with orbital period ratios near a chain of mean motion resonances. Due to uncertain system parameters, most orbital configurations drawn from the inferred posterior…

Earth and Planetary Astrophysics · Physics 2017-05-24 Daniel Tamayo , Hanno Rein , Cristobal Petrovich , Norman Murray

We present new ways to identify single and multiple moons around extrasolar planets using planetary transit timing variations (TTVs) and transit duration variations (TDVs). For planets with one moon, measurements from successive transits…

Earth and Planetary Astrophysics · Physics 2016-12-06 René Heller , Michael Hippke , Ben Placek , Daniel Angerhausen , Eric Agol

Transit Timing Variations (TTVs) can provide useful information for systems observed by transit, by putting constraints on the masses and eccentricities of the observed planets, or even constrain the existence of non-transiting companions.…

Earth and Planetary Astrophysics · Physics 2022-06-08 A. Leleu , J. -B. Delisle , R. Mardling , S. Udry , G. Chatel , Y. Alibert , P. Eggenberger

We report the detection of transit timing variations (TTVs) well in excess of one hour in the Kepler multi-planet candidate system KOI 806. This system exhibits transits consistent with three separate planets -- a Super-Earth, a Jupiter,…

Discoveries from the prime Kepler mission demonstrated that small planets (< 3 Earth-radii) are common outcomes of planet formation. While Kepler detected many such planets, all but a handful orbit faint, distant stars and are not amenable…

The transits of a planet on a Keplerian orbit occur at time intervals exactly equal to the period of the orbit. If a second planet is introduced the orbit is not Keplerian and the transits are no longer exactly periodic. We compute the…

Astrophysics · Physics 2009-11-10 E. Agol , J. Steffen , R. Sari , W. Clarkson

We combine statistical arguments and dynamical analysis to study the orbital configuration of the microlensing planetary system OGLE-2012-BLG-0026L. This system is known to host two massive planets, with both projected close to the Einstein…

Earth and Planetary Astrophysics · Physics 2019-06-17 Sabrina Madsen , Wei Zhu

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

A number of multiplanet systems are observed to contain planets very close to mean motion resonances, although there is no significant pileup of precise resonance pairs. We present theoretical and numerical studies on the outcome of capture…

Earth and Planetary Astrophysics · Physics 2018-09-12 Wenrui Xu , Dong Lai , Alessandro Morbidelli

Few planetary systems have measured mutual inclinations, and even less are found to be non-coplanar. Observing the gravitational interactions between exoplanets is an effective tool to detect non-transiting companions to transiting planets.…

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

Following Ford et al. (2011, 2012) and Steffen et al. (2012) we derived the transit timing of 1960 Kepler KOIs using the pre-search data conditioning (PDC) light curves of the first twelve quarters of the Kepler data. For 721 KOIs with…

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