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The intermediate phases of planet formation are not directly observable due to lack of emission from planetesimals. Planet formation is, however, a dynamically active process resulting in collisions between the evolving planetesimals and…

Earth and Planetary Astrophysics · Physics 2015-06-18 Zoë M. Leinhardt , Jack Dobinson , Philip J. Carter , Stefan Lines

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

Stars are commonly formed in binary systems, which provide a natural laboratory for studying planet formation in extreme conditions. In our first paper (Paper I) of a series Xie et al. (2011), we have shown that the intermediate stage -…

Earth and Planetary Astrophysics · Physics 2018-07-25 Yapeng Zhang , Qingqin Li , Ji-Wei Xie , Ji-Lin Zhou , Hui-Gen Liu , Hui Zhang

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

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

We investigate planetesimal accretion via a direct N-body simulation of an annulus at 1 AU orbiting a 1 $M_{\odot}$ star. The planetesimal ring, which initially contains N = $10^6$ bodies is evolved into the oligarchic growth phase. Unlike…

Earth and Planetary Astrophysics · Physics 2019-09-04 Spencer Wallace , Thomas Quinn

The Earth appears non-chondritic in its abundances of refractory lithophile elements, posing a significant problem for our understanding of its formation and evolution. It has been suggested that this non-chondritic composition may be…

Earth and Planetary Astrophysics · Physics 2015-11-04 Philip J. Carter , Zoë M. Leinhardt , Tim Elliott , Michael J. Walter , Sarah T. Stewart

The formation of galaxy clusters in hierarchically clustering universes is investigated by means of high resolution N-body simulations. The simulations are performed using a newly developed multi-mass scheme which combines a PM code with a…

Astrophysics · Physics 2007-05-23 A. Huss , B. Jain , M. Steinmetz

We have newly developed a Parallelized Particle-Particle Particle-tree code for Planet formation, PENTACLE, which is a parallelized hybrid $N$-body integrator executed on a CPU-based (super)computer. PENTACLE uses a 4th-order Hermite…

Earth and Planetary Astrophysics · Physics 2018-10-30 Masaki Iwasawa , Shoichi Oshino , Michiko S. Fujii , Yasunori Hori

Special high-accuracy direct force summation N-body algorithms and their relevance for the simulation of the dynamical evolution of star clusters and other gravitating N-body systems in astrophysics are presented, explained and compared…

Astrophysics · Physics 2007-05-23 R. Spurzem

In this work, we adapt a module for planetary formation within the hydrodynamic code FARGO3D. Planetary formation is modeled by a solid core accretion scenario, with the core growing in oligarchic regime. The initial superficial density of…

Earth and Planetary Astrophysics · Physics 2019-10-18 L A DePaula , T A Michtchenko , P A Sousa-Silva

We present and test a code for two-fluid simulations of galaxy formation, one of the fluids being collision-less. The hydrodynamical evolution is solved through the SPH method while gravitational forces are calculated using a tree method.…

Astrophysics · Physics 2007-05-23 John Hultman , Daniel Kaellander

The population of exoplanetary systems detected by Kepler provides opportunities to refine our understanding of planet formation. Unraveling the conditions needed to produce the observed exoplanets will sallow us to make informed…

Earth and Planetary Astrophysics · Physics 2020-07-15 Gijs D. Mulders , David P. O'Brien , Fred J. Ciesla , Daniel Apai , Ilaria Pascucci

Collisions are the core agent of planet formation. In this work, we derive an analytic description of the dynamical outcome for any collision between gravity-dominated bodies. We conduct high-resolution simulations of collisions between…

Earth and Planetary Astrophysics · Physics 2015-03-19 Zoë M. Leinhardt , Sarah T. Stewart

We study the efficiency of forming large bodies, starting from a sea of equal-sized planetesimals. This is likely one of the earlier steps of planet formation and relevant for the formation of the asteroid belt, the Kuiper belt and…

Earth and Planetary Astrophysics · Physics 2015-03-04 Andrew Shannon , Yanqin Wu , Yoram Lithwick

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 presented the first particle based, Lagrangian code that can follow the collisional/accretional/dynamical evolution of a large number of km-sized planetesimals through the entire growth process to become planets. We refer to it as the…

Earth and Planetary Astrophysics · Physics 2015-06-05 Harold F. Levison , Martin J. Duncan , Edward Thommes

Numerical N-body simulations are commonly used to explore stability regions around exoplanets, offering insights into the possible existence of satellites and ring systems. This study aims to utilize Machine Learning (ML) techniques to…

Earth and Planetary Astrophysics · Physics 2025-01-22 Tiago F. L. L. Pinheiro , Rafael Sfair , Giovana Ramon

We propose a pebble-driven planet formation scenario to form giant planets with high multiplicity and large orbital distances in the early gas disk phase. We perform N-body simulations to investigate the growth and migration of low-mass…

Earth and Planetary Astrophysics · Physics 2020-06-24 John Wimarsson , Beibei Liu , Masahiro Ogihara

We review the recent optimizations of gravitational $N$-body kernels for running them on graphics processing units (GPUs), on single hosts and massive parallel platforms. For each of the two main $N$-body techniques, direct summation and…

Instrumentation and Methods for Astrophysics · Physics 2014-09-22 Simon Portegies Zwart , Jeroen Bédorf