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We review the basic dynamics and accretion of planetesimals by showing N-body simulations. The orbits of planetesimals evolve through two-body gravitational relaxation: viscous stirring increases the random velocity and dynamical friction…

Earth and Planetary Astrophysics · Physics 2012-12-10 Eiichiro Kokubo , Shigeru Ida

The formation and evolution of protoplanetary systems, the breeding grounds of planet formation, is a complex dynamical problem that involves many orders of magnitudes. To serve this purpose, we present a new hybrid algorithm that combines…

Earth and Planetary Astrophysics · Physics 2011-06-01 Patrick Glaschke , Pau Amaro-Seoane , Rainer Spurzem

The current picture of terrestrial planet formation relies heavily on our understanding of the dynamical evolution of planetesimals -- asteroid-like bodies thought to be planetary building blocks. In this study we investigate the growth of…

Astrophysics · Physics 2009-11-07 Roman R. Rafikov

Over the course of the recent decades, $N$-body simulations have become a standard tool for quantifying the gravitational perturbations that ensue in planet-forming disks. Within the context of such simulations, massive non-central bodies…

Earth and Planetary Astrophysics · Physics 2020-08-12 Shirui Peng , Konstantin Batygin

The formation and evolution of protoplanetary discs remains a challenge from both a theoretical and numerical standpoint. In this work we first perform a series of tests of our new hybrid algorithm presented in Glaschke, Amaro-Seoane and…

Earth and Planetary Astrophysics · Physics 2015-06-12 Pau Amaro-Seoane , Patrick Glaschke , Rainer Spurzem

Formation models in which terrestrial bodies grow via the pairwise accretion of planetesimals have been reasonably successful at reproducing the general properties of the solar system, including small body populations. However, planetesimal…

Earth and Planetary Astrophysics · Physics 2023-07-20 Spencer C. Wallace , Thomas R. Quinn

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

Observations of extrasolar planets reveal that planets can be found in close binary systems, where the semi-major axis of the binary orbit is less than 20 AU. The existence of these planets challenges planet formation theory, because the…

Astrophysics · Physics 2009-11-13 S. -J. Paardekooper , P. Thebault , G. Mellema

The standard formation model of close-in low-mass planets involves efficient inward migration followed by growth through giant impacts after the protoplanetary gas disk disperses. While detailed N-body simulations have enhanced our…

Earth and Planetary Astrophysics · Physics 2025-07-08 Tadahiro Kimura , Eiichiro Kokubo , Yuji Matsumoto , Christoph Mordasini , Masahiro Ikoma

We investigate the kinematic evolution of planetesimals in self-gravitating discs, combining Smoothed Particle Hydrodynamical (SPH) simulations of the disc gas with a gravitationally coupled population of test particle planetesimals. We…

Earth and Planetary Astrophysics · Physics 2015-06-15 Joe Walmswell , Cathie Clarke , Peter Cossins

Standard models of planet formation explain how planets form in axisymmetric, unperturbed disks in single star systems. However, it is possible that giant planets could have already formed when other planetary embryos start to grow. We…

Earth and Planetary Astrophysics · Physics 2021-09-01 Kangrou Guo , Eiichiro Kokubo

The cores of wide-orbit giant planets can form via pebble accretion if large planetesimals form in the outer regions of protoplanetary discs at sufficiently early times. Streaming instability simulations support mass distributions…

Earth and Planetary Astrophysics · Physics 2026-03-11 Sebastian Lorek , Michiel Lambrechts

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

The formation mechanism of planetesimals in protoplanetary discs is hotly debated. Currently, the favoured model involves the accumulation of meter-sized objects within a turbulent disc, followed by a phase of gravitational instability. At…

Earth and Planetary Astrophysics · Physics 2010-03-16 Hanno Rein , Geoffroy Lesur , Zoe M. Leinhardt

We present N-body simulations of planetary accretion beginning with 1 km radius planetesimals in orbit about a 1 solar mass star at 0.4 AU. The initial disk of planetesimals contains too many bodies for any current N-body code to integrate;…

Earth and Planetary Astrophysics · Physics 2015-05-13 Rory Barnes , Thomas R. Quinn , Jack J. Lissauer , Derek C. Richardson

According to the canonical planet formation theory, planets form "in-situ" within a planetesimal disk via runaway and oligarchic growth. This theory, however, cannot naturally account for the formation timescale of ice giants or the…

Earth and Planetary Astrophysics · Physics 2026-01-29 Tenri Jinno , Takayuki R. Saitoh , Yoko Funato , Junichiro Makino

In models of planetary accretion, pebbles form by dust coagulation and rapidly migrate toward the central star. Planetesimals may continuously form from pebbles over the age of the protoplanetary disk by yet uncertain mechanisms. Meanwhile,…

Earth and Planetary Astrophysics · Physics 2018-04-17 Ryuji Morishima

The growth of small planetesimals into large planetary embryos occurs much before the dispersal of the gas from the protoplanetary disk. The planetesimal - gaseous-disk interactions give rise to migration and orbital evolution of the…

Earth and Planetary Astrophysics · Physics 2015-09-23 Evgeni Grishin , Hagai B. Perets

The process of gravitational scattering of planetesimals by a massive protoplanetary embryo is explored theoretically. We propose a method to describe the evolution of the disk surface density, eccentricity, and inclination caused by the…

Astrophysics · Physics 2009-11-07 Roman R. Rafikov

In this paper we extend our numerical method for simulating terrestrial planet formation from Leinhardt and Richardson (2005) to include dynamical friction from the unresolved debris component. In the previous work we implemented a rubble…

Earth and Planetary Astrophysics · Physics 2015-05-13 Z. M. Leinhardt , D. C. Richardson , G. Lufkin , J. Haseltine
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