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The recent discoveries of circumbinary planets by $\it Kepler$ raise questions for contemporary planet formation models. Understanding how these planets form requires characterizing their formation environment, the circumbinary…

Earth and Planetary Astrophysics · Physics 2016-10-20 David P. Fleming , Thomas R. Quinn

The orbital eccentricity-radius relation for small planets is indicative of the predominant dynamical sculpting processes during late-stage orbital evolution. Previous studies have shown that planets orbiting Sun-like stars exhibit an…

Earth and Planetary Astrophysics · Physics 2025-07-11 Sheila Sagear , Sarah Ballard , Gregory J. Gilbert , Mariangel Albornoz , Christopher Lam

The differential migration of two planets due to planet-disk interaction can result in capture into the 2:1 eccentricity-type mean-motion resonances. Both the sequence of 2:1 eccentricity resonances that the system is driven through by…

Earth and Planetary Astrophysics · Physics 2015-05-13 Man Hoi Lee , Edward W. Thommes

The late-stage formation of giant planetary systems is rich in interesting dynamical mechanisms. Previous simulations of three giant planets initially on quasi-circular and quasi-coplanar orbits in the gas disc have shown that highly…

Earth and Planetary Astrophysics · Physics 2018-05-02 Anne-Sophie Libert , Sotiris Sotiriadis , Kyriaki I. Antoniadou

The orbits of the outer two known planets orbiting Upsilon Andromedae are remarkably eccentric. Planet C possesses an orbital eccentricity of e1 = 0.253. For the more distant planet D, e2 = 0.308. Previous dynamical analyses strongly…

Astrophysics · Physics 2009-11-07 E. I. Chiang , N. Murray

Orbital mean motion resonances in planetary systems originate from dissipative processes in disk-planet interactions that lead to orbital migration. In multi-planet systems that host giant planets, the perturbation of the protoplanetary…

Earth and Planetary Astrophysics · Physics 2018-10-24 Nicolas P. Cimerman , Wilhelm Kley , Rolf Kuiper

Accordling to the theory of Kozai resonance, the initial mutual inclination between a small body and a massive planet in an outer circular orbit is as high as $\sim39.2^{\circ}$ for pumping the eccentricity of the inner small body. Here we…

Earth and Planetary Astrophysics · Physics 2015-06-15 Yuan-Yuan Chen , Hui-Gen Liu , Gang Zhao , Ji-Lin Zhou

The giant impact phase of terrestrial planet formation establishes connections between super-Earths' orbital properties (semimajor axis spacings, eccentricities, mutual inclinations) and interior compositions (the presence or absence of…

Earth and Planetary Astrophysics · Physics 2016-05-09 Rebekah I. Dawson , Eve J. Lee , Eugene Chiang

The observed extrasolar planets possess both large masses (with a median M sin i of 1.65 MJ) and a wide range in orbital eccentricity (0 < e < 0.94). As planets are thought to form in circumstellar disks, one important question in planet…

Earth and Planetary Astrophysics · Physics 2009-04-23 Althea V. Moorhead , Eric B. Ford

Spatially resolved images of debris disks frequently reveal complex morphologies such as gaps, spirals, and warps. Most existing models for explaining such morphologies focus on the role of massive perturbers (i.e. planets, stellar…

Earth and Planetary Astrophysics · Physics 2021-03-31 Antranik A. Sefilian , Roman R. Rafikov , Mark C. Wyatt

We investigate the dynamical evolution of a Jovian--mass planet injected into an orbit highly inclined with respect to its nesting gaseous disk. Planet--planet scattering induced by convergent planetary migration and mean motion resonances…

Earth and Planetary Astrophysics · Physics 2014-11-20 F. Marzari , Andrew F. Nelson

Young planets embedded in their protoplanetary disk interact gravitationally with it leading to energy and angular momentum exchange. This interaction determines the evolution of the planet through changes to the orbital parameters. We…

Astrophysics · Physics 2009-11-13 Paul Cresswell , Gerben Dirksen , Willy Kley , Richard P. Nelson

We consider the effects of eccentricity on the fragmentation of gravitationally unstable accretion disks, using numerical hydrodynamics. We find that eccentricity does not affect the overall stability of the disk against fragmentation, but…

Astrophysics · Physics 2011-02-11 R. D. Alexander , P. J. Armitage , J. Cuadra , M. C. Begelman

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

In recent years, a number of eccentric debris belts have been observed in extrasolar systems. The most common explanation for their shape is the presence of a nearby eccentric planetary companion. The gravitational perturbation from such a…

Earth and Planetary Astrophysics · Physics 2022-09-27 Laetitia Rodet , Dong Lai

Various processes can induce long-lived overdense rings and arcs in protoplanetary and AGN accretion discs, such as the accumulation of gas at the outer edge of the dead zone, or the infall of material. Using the local approximation of…

Astrophysics of Galaxies · Physics 2026-04-24 R. A. Anaya-Sánchez , F. J. Sánchez-Salcedo

The large eccentricities of many giant extrasolar planets may represent the endpoint of gravitational scattering in initially more crowded systems. If so, the early evolution of the giant planets is likely to be more restrictive of…

Astrophysics · Physics 2009-11-11 Dimitri Veras , Philip J. Armitage

Recent discoveries of several transiting planets with clearly non-zero eccentricities and some large inclinations started changing the simple picture of close-in planets having circular and well-aligned orbits. Two major scenarios to form…

Earth and Planetary Astrophysics · Physics 2015-05-19 Soko Matsumura , Stanton J. Peale , Frederic A. Rasio

The tidal perturbation of embedded protoplanets on their natal disks has been widely attributed to be the cause of gap-ring structures in sub-mm images of protoplanetary disks around T Tauri stars. Numerical simulations of this process have…

Earth and Planetary Astrophysics · Physics 2021-12-08 Yi-Xian Chen , Zhuoxiao Wang , Ya-Ping Li , Clément Baruteau , Douglas N. C. Lin

We determine, analytically and numerically, the conditions needed for a system of two migrating planets trapped in a 2:1 mean motion resonance to enter an inclination-type resonance. We provide an expression for the asymptotic equilibrium…

Earth and Planetary Astrophysics · Physics 2015-06-19 Jean Teyssandier , Caroline Terquem