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A large proportion of transiting planetary systems appear to possess only a single planet as opposed to multiple transiting planets. This excess of singles is indicative of significant mutual inclinations existing within a large number of…

Earth and Planetary Astrophysics · Physics 2021-07-09 Kathleen Schultz , Christopher Spalding , Konstantin Batygin

Multi-planetary systems detected by the Kepler mission present an excess of planets close to first-order mean-motion resonances (2:1 and 3:2) but with a period ratio slightly higher than the resonant value. Several mechanisms have been…

Earth and Planetary Astrophysics · Physics 2014-10-22 J. -B. Delisle , J. Laskar

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

During its 5 year mission, the Kepler spacecraft has uncovered a diverse population of planetary systems with orbital configurations ranging from single-transiting planets to systems of multiple planets co-transiting the parent star. By…

Earth and Planetary Astrophysics · Physics 2016-10-12 Christopher Spalding , Konstantin Batygin

We study the chaotic orbital evolution of planetary systems, focusing on secular (i.e., orbit-averaged) interactions, because these often dominate on long timescales. We first focus on the evolution of a test particle that is forced by…

Earth and Planetary Astrophysics · Physics 2015-05-20 Yoram Lithwick , Yanqin Wu

We investigate the secular dynamics of two-planet coplanar systems evolving under mutual gravitational interactions and dissipative forces. We consider two mechanisms responsible for the planetary migration: star-planet (or…

Earth and Planetary Astrophysics · Physics 2012-09-10 Adrián Rodríguez , Tatiana A. Michtchenko , Octavio Miloni

The Kepler space mission has detected a large number of exoplanets in multiple transiting planet systems. Previous studies found that these Kepler multiple planet systems exhibit an intra-system uniformity, namely planets in the same system…

Earth and Planetary Astrophysics · Physics 2020-09-30 Chao-Feng Jiang , Ji-Wei Xie , Ji-Lin Zhou

Recent analyses of Kepler space telescope data reveal that transiting planets with orbital periods shorter than about 2-3 days are generally observed around late-type stars with rotation periods longer than about 5-10 days. We investigate…

Earth and Planetary Astrophysics · Physics 2015-06-19 A. F. Lanza , E. L. Shkolnik

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

Gravitational perturbations in multi-planet systems caused by an accompanying star are the subject of this investigation. Our dynamical model is based on the binary star HD41004 AB where a giant planet orbits HD41004 A. We modify the…

Earth and Planetary Astrophysics · Physics 2022-01-12 Elke Pilat-Lohinger , Akos Bazso , Barbara Funk

Continuing our study of the effects of secular resonances on the formation of terrestrial planets in moderately close binary stars, we present here the results of an extensive numerical simulations of the formation of these objects.…

Earth and Planetary Astrophysics · Physics 2025-07-29 Nader Haghighipour , Michael Andrews

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

We consider the dynamical evolution of two planets orbiting in the vicinity of a first order mean motion reso- nance while simultaneously undergoing eccentricity damping and convergent migration. Following Goldreich & Schlichting (2014), we…

Earth and Planetary Astrophysics · Physics 2015-09-23 Katherine M. Deck , Konstantin Batygin

This work shows the dynamical instability that can happen to close-in satellites when planet oblateness is not accounted for in non-coplanar multiplanet systems. Simulations include two secularly interacting Jupiter-mass planets mutually…

Earth and Planetary Astrophysics · Physics 2015-06-23 Yu-Cian Hong , Matthew S. Tiscareno , Philip D. Nicholson , Jonathan I. Lunine

An ever-growing observational aggregate of extrasolar planets has revealed that systems of planets that reside in or near mean-motion resonances are relatively common. While the origin of such systems is attributed to protoplanetary…

Earth and Planetary Astrophysics · Physics 2015-06-16 Konstantin Batygin , Alessandro Morbidelli

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

Pollution of white dwarf atmospheres may be caused by asteroids that originate from the locations of secular and mean-motion resonances in planetary systems. Asteroids in these locations experience increased eccentricity, leading to tidal…

Earth and Planetary Astrophysics · Physics 2021-05-12 Jeremy L. Smallwood , Rebecca G. Martin , Mario Livio , Dimitri Veras

A planet orbiting around a star in a binary system can be ejected if it lies too far from its host star. We find that instability boundaries first obtained in numerical studies can be explained by overlap between sub-resonances within…

Astrophysics · Physics 2009-11-13 Lawrence R. Mudryk , Yanqin Wu

Many protostellar gapped and binary discs show misalignments between their inner and outer discs; in some cases, $\sim70$ degree misalignments have been observed. Here we show that these misalignments can be generated through a "secular…

Solar and Stellar Astrophysics · Physics 2017-06-21 James E. Owen , Dong Lai

This paper considers the effects of turbulence on mean motion resonances in extrasolar planetary systems and predicts that systems rarely survive in a resonant configuration. A growing number of systems are reported to be in resonance,…

Astrophysics · Physics 2008-05-13 Fred C. Adams , Gregory Laughlin , Anthony M. Bloch