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The Kepler-36 system consists of two planets that are spaced unusually close together, near the 7:6 mean motion resonance. While it is known that mean motion resonances can easily form by convergent migration, Kepler-36 is an extreme case…

Earth and Planetary Astrophysics · Physics 2015-06-15 Sijme-Jan Paardekooper , Hanno Rein , Willy Kley

Secular resonances in exoplanet systems occur when two or more planets have commensurabilities in the precession rates of their orbital elements, causing an exchange of angular momentum between them. The stellar gravitational quadrupole…

Earth and Planetary Astrophysics · Physics 2025-05-12 Thea Faridani , Smadar Naoz , Gongjie Li , Malena Rice , Jack Lubin

We study orbital evolution of multi-planet systems that form a resonant chain, with nearest neighbours close to first order commensurabilities, incorporating orbital circularisation produced by tidal interaction with the central star. We…

Earth and Planetary Astrophysics · Physics 2021-06-23 J. C. B. Papaloizou

We present a theoretical framework for investigating a two-planet system undergoing convergent type I migration in a protoplanetary disk. Our study identifies the conditions for resonant capture and subsequent dynamical stability. By…

Earth and Planetary Astrophysics · Physics 2025-10-22 Linghong Lin , Beibei Liu , Zekai Zheng

The aim of this work is to study the impact of a binary companion on the evolution of two-planet systems during both the type-II migration phase and their long-term evolution after the dissipation of the protoplanetary disk. We use the…

Earth and Planetary Astrophysics · Physics 2022-08-17 Arnaud Roisin , Nikita Doukhanin , Jean Teyssandier , Anne-Sophie Libert

The planet candidates discovered by the Kepler mission provide a rich sample to constrain the architectures and relative inclinations of planetary systems within approximately 0.5 AU of their host stars. We use the triple-transit systems…

Earth and Planetary Astrophysics · Physics 2015-06-05 Anders Johansen , Melvyn B. Davies , Ross P. Church , Viktor Holmelin

NASA's Kepler Space Telescope was designed to determine the frequency of Earth-sized planets orbiting Sun-like stars, but these planets are on the very edge of the mission's detection sensitivity. Accurately determining the occurrence rate…

Earth and Planetary Astrophysics · Physics 2018-02-14 Christopher J. Shallue , Andrew Vanderburg

We consider planetary systems evolving under the effect of a Stokes-type dissipative force mimicking the outcome of a type II migration process. As inward migration proceeds and the planets follow the circular family (they start on circular…

Earth and Planetary Astrophysics · Physics 2017-03-28 K. I. Antoniadou , G. Voyatzis

The two planets about the star GJ 876 appear to have undergone extensive migration from their point of origin in the protoplanetary disk -- both because of their close proximity to the star (30 and 60 day orbital periods) and because of…

Astrophysics · Physics 2009-11-10 Willy Kley , Man-Hoi Lee , Norman Murray , Stan Peale

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

Planetary systems discovered by the Kepler space telescope exhibit an intriguing feature. While the period ratios of adjacent low-mass planets appear largely random, there is a significant excess of pairs that lie just wide of resonances…

Earth and Planetary Astrophysics · Physics 2012-09-04 Yoram Lithwick , Yanqin Wu

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

TESS has made clear that most close-in planets were born in chains of mean-motion resonances that break on a characteristic timescale of 100 Myr. This observation is surprising because the same dissipative forces that capture planets into…

Earth and Planetary Astrophysics · Physics 2026-04-08 Nick Choksi , Yoram Lithwick , Eugene Chiang , Rixin Li

We study the orbital architecture of multi-planet systems detected by the Kepler transit mission using N-body simulations, focusing on the orbital spacing between adjacent planets in systems showing four or more transiting planets. We find…

Earth and Planetary Astrophysics · Physics 2015-05-01 Bonan Pu , Yanqin Wu

The TRAPPIST-1 system is an iconic planetary system in various aspects (e.g., habitability, resonant relation, and multiplicity) and hence has attracted considerable attention. The mass distribution of the TRAPPIST-1 planets is…

Earth and Planetary Astrophysics · Physics 2022-03-14 Masahiro Ogihara , Eiichiro Kokubo , Ryuunosuke Nakano , Takeru K. Suzuki

A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean motion resonances. However, the relative remoteness of such systems from nominal…

Earth and Planetary Astrophysics · Physics 2015-06-04 Konstantin Batygin , Alessandro Morbidelli

The discovery of transiting circumbinary planets by the Kepler mission suggests that planets can form efficiently around binary stars. None of the stellar binaries currently known to host planets has a period shorter than 7 days, despite…

Earth and Planetary Astrophysics · Physics 2015-09-16 Diego J. Muñoz , Dong Lai

It has been shown that an Earth-size planet or a super-Earth, in resonance with a transiting Jupiter-like body in a short-period orbit around an M star, can create detectable TTV signals (Kirste \& Haghighipour, 2011). Given the low masses…

Earth and Planetary Astrophysics · Physics 2015-05-20 Nader Haghighipour , Sara Rastegar

We present a thorough study of the impact of a migrating planet on a planetesimal disk, by exploring a broad range of masses and eccentricities for the planet. We discuss the sensitivity of the structures generated in debris disks to the…

Astrophysics · Physics 2009-11-13 Rémy Reche , Hervé Beust , J. C. Augereau , Olivier Absil

The discovery of close orbiting extrasolar giant planets led to extensive studies of disk planet interactions and the forms of migration that can result as a means of accounting for their location. Early work established the type I and type…

Astrophysics · Physics 2007-05-23 J. C. B. Papaloizou , R. P. Nelson , W. Kley , F. S. Masset , P. Artymowicz
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