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Close-in planetary systems detected by the Kepler mission present an excess of periods ratio that are just slightly larger than some low order resonant values. This feature occurs naturally when resonant couples undergo dissipation that…

Earth and Planetary Astrophysics · Physics 2015-06-05 J. -B. Delisle , J. Laskar , A. C. M. Correia , G. Boué

Knowledge of an exoplanet's oblateness and obliquity would give clues about its formation and internal structure. In principle, a light curve of a transiting planet bears information about the planet's shape, but previous work has shown…

Earth and Planetary Astrophysics · Physics 2015-05-18 Joshua A. Carter , Joshua N. Winn

We propose that the presence of additional planets in extrasolar planetary systems can be detected by long-term transit timing studies. If a transiting planet is on an eccentric orbit then the presence of another planet causes a secular…

Astrophysics · Physics 2008-11-26 Jeremy S. Heyl , Brett J. Gladman

The observed orbits of extrasolar planets suggest that many giant planets migrate a considerable distance towards their parent star as a result of interactions with the protoplanetary disk, and that some of these planets become trapped in…

Astrophysics · Physics 2009-11-10 Edward W. Thommes , Jack J. Lissauer

We explore scenarios for the origin of two different density planets in the Kepler 36 system in adjacent orbits near the 7:6 mean motion resonance. We find that fine tuning is required in the stochastic forcing amplitude, the migration rate…

Earth and Planetary Astrophysics · Physics 2015-06-15 Alice C. Quillen , Eva Bodman , Alexander Moore

This paper studies the effects of dynamical interactions among the planets in observed extrasolar planetary systems, including hypothetical additional bodies, with a focus on secular perturbations. These interactions cause the…

Astrophysics · Physics 2008-11-26 Fred C. Adams , Gregory Laughlin

Most extrasolar planets are observed to have eccentricities much larger than those in the solar system. Some of these planets have sibling planets, with comparable masses, orbiting around the same host stars. In these multiple planetary…

Astrophysics · Physics 2009-11-07 M. Nagasawa , D. N. C. Lin , S. Ida

We investigate the dynamical evolution of the terrestrial planets during the planetesimal-driven migration of the giant planets. A basic assumption of this work is that giant planet migration occurred after the completion of terrestrial…

Earth and Planetary Astrophysics · Physics 2015-05-14 Ramon Brasser , Alessandro Morbidelli , Rodney Gomes , Kleomenis Tsiganis , Harold F. Levison

Exoplanetary systems hosting multiple low-mass planets are thought to have experienced dynamical instability, during which planet-planet collisions and mergers occur; these collisions can impart substantial amount of angular momentum to the…

Earth and Planetary Astrophysics · Physics 2025-10-15 Dieran Wang , Jiaru Li , Dong Lai

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

The eccentricity evolution of multiple planet systems can provide valuable constraints on planet formation models. Unfortunately, the inevitable uncertainties in the current orbital elements can lead to significant ambiguities in the nature…

Astrophysics · Physics 2008-12-18 Dimitri Veras , Eric B. Ford

All of the known circumbinary planets are large (> 3 Earth radii). Whilst observational biases may account for this dearth of small planets, in this paper we propose a theoretical explanation. Most of the known planets are near the…

Earth and Planetary Astrophysics · Physics 2022-01-26 David V. Martin , Evan Fitzmaurice

We investigate the distributions of the orbital period ratios of adjacent planets in high multiplicity \kepler\ systems (four or more planets) and low multiplicity systems (two planets). Modeling the low multiplicity sample as essentially…

Earth and Planetary Astrophysics · Physics 2015-06-12 Jason H. Steffen

We revisit the problem of secular resonance sweeping during the dissipation of a protoplanetary disk and its possible role in exciting the orbits of primordial asteroids, in the light of recent models of solar system evolution. We develop…

Earth and Planetary Astrophysics · Physics 2019-12-20 A. Toliou , K. Tsiganis , G. Tsirvoulis

Asteroid families are formed as the result of collisions. Large fragments are ejected with speeds of the order of the escape velocity from the parent body. After the family formation, the fragments' orbits evolve in the space of proper…

Earth and Planetary Astrophysics · Physics 2018-04-03 V. Carruba , D. Vokrouhlický , B. Novakovic

We present two-dimensional hydrodynamical simulations of pairs of planets migrating simultaneously in the Type I regime in a protoplanetary disc. Convergent migration naturally leads to the trapping of these planets in mean-motion…

Earth and Planetary Astrophysics · Physics 2017-12-27 T. O. Hands , R. D. Alexander

We determine the evolution of a giant planet-disk system that orbits a member of a binary star system and is mildly inclined with respect to the binary orbital plane. The planet orbit and disk are initially mutually coplanar. We analyze the…

Earth and Planetary Astrophysics · Physics 2016-01-27 Stephen H. Lubow , Rebecca G. Martin

Mean motion commensurabilities in multi-planet systems are an expected outcome of protoplanetary disk-driven migration, and their relative dearth in the observational data presents an important challenge to current models of planet…

Earth and Planetary Astrophysics · Physics 2017-03-08 Konstantin Batygin , Fred C. Adams

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

Orbits of known extrasolar planets that are located outside the tidal circularization regions of their parent stars are often substantially eccentric. By contrast, planetary orbits in our Solar System are approximately circular, reflecting…

Astrophysics · Physics 2009-11-07 E. I. Chiang , D. Fischer , E. Thommes