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Related papers: Hybrid methods in planetesimal dynamics (I) : Desc…

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Symplectic integrators are the tool of choice for many researchers studying dynamical systems because of their good long-term energy conservation properties. For systems with a dominant central mass, symplectic integrators are also highly…

Astrophysics · Physics 2007-05-23 John E. Chambers

In the standard model of terrestrial planet formation, planets are formed through giant impacts of planetary embryos after the dispersal of the protoplanetary gas disc. Traditionally, $N$-body simulations have been used to investigate this…

Earth and Planetary Astrophysics · Physics 2025-05-28 Tadahiro Kimura , Haruka Hoshino , Eiichiro Kokubo , Yuji Matsumoto , Masahiro Ikoma

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

The "gravitational million-body problem," to model the dynamical evolution of a self-gravitating, collisional N-body system with ~10^6 particles over many relaxation times, remains a major challenge in computational astrophysics.…

Instrumentation and Methods for Astrophysics · Physics 2018-12-07 Carl L. Rodriguez , Bharath Pattabiraman , Sourav Chatterjee , Alok Choudhary , Wei-keng Liao , Meagan Morscher , Frederic A. Rasio

Planet formation models have been developed during the last years in order to try to reproduce the observations of both the solar system, and the extrasolar planets. Some of these models have partially succeeded, focussing however on…

Earth and Planetary Astrophysics · Physics 2015-06-16 Y. Alibert , F. Carron , A. Fortier , S. Pfyffer , W. Benz , C. Mordasini , D. Swoboda

Solving the Fokker-Planck equation for high-dimensional complex turbulent dynamical systems is an important and practical issue. However, most traditional methods suffer from the curse of dimensionality and have difficulties in capturing…

Methodology · Statistics 2017-12-06 Nan Chen , Andrew J. Majda

We describe an updated version of our hybrid N-body-coagulation code for planet formation. In addition to the features of our 2006-2008 code, our treatment now includes algorithms for the 1D evolution of the viscous disk, the accretion of…

Earth and Planetary Astrophysics · Physics 2015-05-20 Benjamin C. Bromley , Scott J. Kenyon

Protoplanets develop via collisions between planetesimals and planetary embryos in the final assembly stage of planet formation. The efficiency of the planet formation can be defined by the mass ratio between formed protoplanets and the…

Earth and Planetary Astrophysics · Physics 2021-01-13 Z. Dencs , Zs. Regaly

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

Spherically symmetric equal mass star clusters containing a large amount of primordial binaries are studied using a hybrid method, consisting of a gas dynamical model for single stars and a Monte Carlo treatment for relaxation of binaries…

Astrophysics · Physics 2011-07-19 M. Giersz , R. Spurzem

Numerical techniques for discretization of velocity space in continuum kinetic calculations are described. An efficient spectral collocation method is developed for the speed coordinate - the radius in velocity space - employing a novel set…

Plasma Physics · Physics 2013-04-23 Matt Landreman , Darin R. Ernst

Finding and characterizing extrasolar Earth analogs will rely on interpretation of the planetary system's environmental context. The total budget and fractionation between C-H-O species sensitively affect the climatic and geodynamic state…

Earth and Planetary Astrophysics · Physics 2021-06-09 Tim Lichtenberg , Sebastiaan Krijt

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 investigated numerically the dust growth driven by Brownian motion in a proto-planetary disc around a solar-type young stellar object. This process is considered as the first stage in the transformation of the initially micron-sized…

Astrophysics · Physics 2007-05-23 S. Kempf , S. Pfalzner , Th. Henning

We present the Superparticle Model/Algorithm for Collisions in Kuiper belts and debris disks (SMACK), a new method for simultaneously modeling, in 3-D, the collisional and dynamical evolution of planetesimals in a debris disk with planets.…

Earth and Planetary Astrophysics · Physics 2013-10-25 Erika R. Nesvold , Marc J. Kuchner , Hanno Rein , Margaret Pan

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 large number of exoplanets found to orbit their host stars in very close orbits have significantly advanced our understanding of the planetary formation process. It is now widely accepted that such short-period planets cannot have…

Earth and Planetary Astrophysics · Physics 2011-12-07 Jianghui Ji , Sheng Jin , C. G. Tinney

Two basic routes for planetesimal formation have been proposed over the last few decades. One is a classical "slow-growth" scenario. Another one is particle concentration models, in which small pebbles are concentrated locally and then…

Earth and Planetary Astrophysics · Physics 2017-12-19 Alexander V. Krivov , Aljoscha Ide , Torsten Löhne , Anders Johansen , Jürgen Blum

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

In most current debris disc models, the dynamical and the collisional evolutions are studied separately, with N-body and statistical codes, respectively, because of stringent computational constraints. We present here LIDT-DD, the first…

Earth and Planetary Astrophysics · Physics 2015-06-17 Quentin Kral , Philippe Thébault , Sébastien Charnoz