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This chapter concerns the long-term dynamical evolution of planetary systems from both theoretical and observational perspectives. We begin by discussing the planet-planet interactions that take place within our own Solar System. We then…

Earth and Planetary Astrophysics · Physics 2015-06-18 Melvyn B. Davies , Fred C. Adams , Philip Armitage , John Chambers , Eric Ford , Alessandro Morbidelli , Sean N. Raymond , Dimitri Veras

Catastrophic disruptions of planetesimals occur in high-velocity collisions. Radioisotope dating of planetesimal disruption events recorded in meteorites confirms frequent catastrophic collisions in the first 10 Myr of the Solar System,…

Earth and Planetary Astrophysics · Physics 2026-05-27 Kang Shuai , Li-Yong Zhou , Hejiu Hui

Observational evidence exists for the formation of gas giant planets on wide orbits around young stars by disk gravitational instability, but the roles of disk instability and core accretion for forming gas giants on shorter period orbits…

Earth and Planetary Astrophysics · Physics 2017-02-15 Alan P. Boss

In protoplanetary disks the aerodynamical friction between particles and gas induces a variety of instabilities that facilitate planet formation. Of these we examine the so-called `secular gravitational instability' (SGI) in the two-fluid…

Earth and Planetary Astrophysics · Physics 2016-11-15 Henrik Latter , Roxana Rosca

Gravitational instability is one of considerable mechanisms to explain the formation of giant planets. We study the gravitational stability for the protoplanetary disks around a protostar. The temperature and Toomre's Q-value are calculated…

Earth and Planetary Astrophysics · Physics 2019-03-18 Shigeo S. Kimura , Toru Tsuribe

Most planetary systems -- including our own -- are born within stellar clusters, where interactions with neighboring stars can help shape the system architecture. This paper develops an orbit-averaged formalism to characterize the cluster's…

Earth and Planetary Astrophysics · Physics 2020-05-20 Konstantin Batygin , Fred C. Adams , Yuri K. Batygin , Erik A. Petigura

Solid particles in protoplanetary disks that are sufficiently super-solar in metallicity overcome turbulence generated by vertical shear to gravitationally condense into planetesimals. Super-solar metallicities result if solid particles…

Astrophysics · Physics 2009-11-10 Andrew N. Youdin , Eugene I. Chiang

We perform simulations here that include the gravitational effects of the primordial planetesimal belt consisting of ~10^5 massive bodies. In our simulations, Neptune unlocks from resonance with the other giant planets and begins to migrate…

Earth and Planetary Astrophysics · Physics 2024-03-20 Nathan A. Kaib , Alex Parsells , Simon Grimm , Billy Quarles , Matthew S. Clement

In this paper we consider the evolution of small planetesimals in marginally stable, self-gravitating protoplanetary discs. The drag force between the disc gas and the embedded planetesimals generally causes the planetesimals to drift…

Astrophysics · Physics 2009-11-10 W. K. M. Rice , G. Lodato , J. E. Pringle , P. J. Armitage , I. A. Bonnell

After their initial formation, disk galaxies are observed to be rotationally stable over periods of >6 Gyr, implying that any large velocity disturbances of stars and gas clouds are damped rapidly on the timescale of their rotation.…

Astrophysics of Galaxies · Physics 2022-11-08 John Herbert Marr

We present numerical simulations of terrestrial planet formation that examine the growth continuously from planetesimals to planets in the inner Solar System. Previous studies show that the growth will be inside-out, but it is still common…

Earth and Planetary Astrophysics · Physics 2019-08-05 Kevin J. Walsh , Harold F. Levison

A planetary instability occurring at time $<100$ My after formation of the giant planets in our solar system can be responsible for some characteristics of the inner solar system. However, the actual influence of the instability on the…

Earth and Planetary Astrophysics · Physics 2021-10-13 Fernando Roig , David Nesvorný , Rogerio Deienno , Matias J. Garcia

Over the last decade, evidence has mounted that the solar system's observed state can be favorably reproduced in the context of an instability-driven dynamical evolution model, such as the "Nice" model. To date, all successful realizations…

Earth and Planetary Astrophysics · Physics 2015-06-03 Konstantin Batygin , Michael E. Brown , Hayden Betts

The core accretion scenario of planet formation assumes that planetesimals and planetary embryos are formed during the primordial, gaseous phases of the protoplanetary disk. However, how the dust particles overcome the traditional growth…

Earth and Planetary Astrophysics · Physics 2021-07-20 Zsolt Regaly , Kundan Kadam , Cornelis P. Dullemond

Debris discs consist of belts of bodies ranging in size from dust grains to planetesimals; these belts are visible markers of planetary systems around other stars that can reveal the influence of extrasolar planets through their shape and…

Earth and Planetary Astrophysics · Physics 2023-02-01 Marco A. Muñoz-Gutiérrez , Jonathan P. Marshall , Antonio Peimbert

Numerical simulations of pebble dynamics inside gas clumps formed by gravitational instability of protoplanetary discs are presented. We find that dust-mediated Rayleigh-Taylor instabilities transport pebbles inward rapidly via dense…

Earth and Planetary Astrophysics · Physics 2018-08-16 Sergei Nayakshin

Previous simulations of self-gravitating protostellar disks have shown that, once developed, gravitational instabilities are enhanced by cooling the disk constantly during its evolution (Pickett et al. 2002). These earlier calculations…

Astrophysics · Physics 2007-05-23 Annie C. Mejía , Richard H. Durisen , Megan K. Pickett

We study the interaction of a proto-planetary disk and a planet on a highly inclined orbit in the linear regime. The evolution of the planet is dominated by dynamical friction for planet masses above several Earth-masses. Smaller planets…

Earth and Planetary Astrophysics · Physics 2012-05-23 Hanno Rein

We carry out three dimensional smoothed particle hydrodynamics simulations to study the impact of planet-disc interactions on a gravitationally unstable protoplanetary disc. We find that the impact of a planet on the disc's evolution can be…

Earth and Planetary Astrophysics · Physics 2022-11-01 Sahl Rowther , Rebecca Nealon , Farzana Meru

Closely-packed multi-planet systems are known to experience dynamical instability if the spacings between the planets are too small. Such instability can be tempered by the frictional forces acting on the planets from gaseous discs. A…

Earth and Planetary Astrophysics · Physics 2022-06-07 Jiaru Li , Laetitia Rodet , Dong Lai
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