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Since exoplanets were detected using the radial velocity method, they have revealed a diverse distribution of orbital configurations. Amongst these are planets in highly eccentric orbits (e > 0.5). Most of these systems consist of a single…

Earth and Planetary Astrophysics · Physics 2015-06-18 Stephen R. Kane , Sean N. Raymond

The multiple-planet systems discovered by the Kepler mission show an excess of planet pairs with period ratios just wide of exact commensurability for first-order resonances like 2:1 and 3:2. In principle, these planet pairs could have both…

Earth and Planetary Astrophysics · Physics 2015-06-16 Man Hoi Lee , D. Fabrycky , D. N. C. Lin

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

We present a study of the relative sizes of planets within the multiple candidate systems discovered with the $Kepler$ mission. We have compared the size of each planet to the size of every other planet within a given planetary system after…

Earth and Planetary Astrophysics · Physics 2015-06-12 David R. Ciardi , Daniel C. Fabrycky , Eric B. Ford , T. N. Gautier , Steve B. Howell , Jack J. Lissauer , Darin Ragozzine , Jason F. Rowe

The {\it Kepler} mission revealed a population of compact multiple-planet systems with orbital periods shorter than a year, and occasionally even shorter than a day. By analyzing a sample of 102 {\it Kepler} and {\it K2} multi-planet…

Earth and Planetary Astrophysics · Physics 2018-09-24 Fei Dai , Kento Masuda , Joshua N. Winn

The two dominant features in the distribution of orbital parameters for close-in exoplanets are the prevalence of circular orbits for very short periods, and the observation that planets on closer orbits tend to be heavier. The first…

Earth and Planetary Astrophysics · Physics 2015-05-27 Frederic Pont , Nawal Husnoo , Tsevi Mazeh , Daniel Fabrycky

Transiting planets in multiple-star systems, especially high-order multiples, make up a small fraction of the known planet population but provide unique opportunities to study the environments in which planets would have formed.…

In order to study the origin of the architectures of low mass planetary systems, we perform numerical surveys of the evolution of pairs of coplanar planets in the mass range $(1-4)\ \rmn{M}_{\oplus}.$ These evolve for up to $2\times10^7…

Earth and Planetary Astrophysics · Physics 2015-04-21 M. Xiang-Gruess , J. C. B. Papaloizou

Studying the orbital stability of multi-planet systems is essential to understand planet formation, estimate the stable time of an observed planetary system, and advance population synthesis models. Although previous studies have primarily…

Earth and Planetary Astrophysics · Physics 2023-09-01 Sheng Yang , Liangyu Wu , Zekai Zheng , Masahiro Ogihara , Kangrou Guo , Wenzhan Ouyang , Yaxing He

The Kepler mission and its successor K2 have brought forth a cascade of transiting planets. Many of these planetary systems exhibit multiple members, but a large fraction possess only a single transiting example. This overabundance of…

Earth and Planetary Astrophysics · Physics 2018-04-11 Christopher Spalding , Noah W. Marx , Konstantin Batygin

Current planet formation theories rely on initially compact orbital configurations undergoing a (possibly extended) phase of giant impacts following the dispersal of the dissipative protoplanetary disk. The orbital architectures of observed…

Earth and Planetary Astrophysics · Physics 2023-07-05 Alysa Obertas , Daniel Tamayo , Norm Murray

We determine the orbital eccentricities of individual small Kepler planets, through a combination of asteroseismology and transit light-curve analysis. We are able to constrain the eccentricities of 51 systems with a single transiting…

The radius-period distribution of exoplanets has been characterized by the \textit{Kepler} survey, and the empirical mass-radius relation by the subset of \textit{Kepler} planets with mass measurements. We combine the two in order to…

Earth and Planetary Astrophysics · Physics 2020-03-04 Andrew R. Neil , Leslie A. Rogers

Motivated by the large number of compact extrasolar planetary systems discovered by the Kepler Mission, this paper considers perturbations due to possible additional outer planets. The discovered compact systems sometimes contain multiple…

Earth and Planetary Astrophysics · Physics 2017-04-12 Juliette C. Becker , Fred C. Adams

The connection between inner small planets and outer giant planets is crucial to our understanding of planet formation across a wide range of orbital separations. While Kepler provided a plethora of compact multi-planet systems at short…

Earth and Planetary Astrophysics · Physics 2023-06-30 Matthias Y. He , Lauren M. Weiss

We calculate and analyze the distribution of period ratios observed in systems of Kepler exoplanet candidates including studies of both adjacent planet pairs and all planet pairs. These distributions account for both the geometrical bias…

Earth and Planetary Astrophysics · Physics 2015-06-22 Jason H. Steffen , Jason A. Hwang

The statistical results of transiting planets show that there are two peaks around 1.5 and 2.0 in the distribution of orbital period ratios. A large number of planet pairs are found near the exact location of mean motion resonances (MMRs).…

Earth and Planetary Astrophysics · Physics 2021-01-27 Su Wang , D. N. C. Lin , Xiaochen Zheng , Jianghui Ji

Due to the exquisite photometric precision, transiting exoplanet discoveries from the Kepler mission are enabling several new techniques of confirmation and characterization. One of these newly accessible techniques analyzes the phase…

Earth and Planetary Astrophysics · Physics 2015-06-12 Stephen R. Kane , Dawn M. Gelino

The stellar spin orientation relative to the orbital planes of multiplanet systems are becoming accessible to observations. Here, we analyze and classify different types of spin-orbit evolution in compact multiplanet systems perturbed by an…

Earth and Planetary Astrophysics · Physics 2015-06-19 Gwenaël Boué , Daniel Fabrycky