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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

In the late stages of terrestrial planet formation, pairwise collisions between planetary-sized bodies act as the fundamental agent of planet growth. These collisions can lead to either growth or disruption of the bodies involved and are…

Earth and Planetary Astrophysics · Physics 2020-12-03 Miles Timpe , Maria Han Veiga , Mischa Knabenhans , Joachim Stadel , Stefano Marelli

Planetary-scale collisions are common during the last stages of formation of solid planets, including the Solar system terrestrial planets. The problem of growing planets has been divided into studying the gravitational interaction of…

Earth and Planetary Astrophysics · Physics 2019-09-04 Diana Valencia , Emaad Paracha , Alan P. Jackson

For problems in astrophysics, planetary science and beyond, numerical simulations are often limited to simulating fewer particles than in the real system. To model collisions, the simulated particles (aka superparticles) need to be inflated…

Earth and Planetary Astrophysics · Physics 2020-06-03 David Nesvorny , Andrew N. Youdin , Raphael Marschall , Derek C. Richardson

Fast and accurate treatment of collisions in the context of modern N-body planet formation simulations remains a challenging task due to inherently complex collision processes. We aim to tackle this problem with machine learning (ML), in…

Earth and Planetary Astrophysics · Physics 2022-10-26 Philip M. Winter , Christoph Burger , Sebastian Lehner , Johannes Kofler , Thomas I. Maindl , Christoph M. Schäfer

We study the consistency and convergence of smoothed particle hydrodynamics (SPH), as a function of the interpolation parameters, namely the number of particles $N$, the number of neighbors $n$, and the smoothing length $h$, using…

Instrumentation and Methods for Astrophysics · Physics 2017-02-08 Ruslan Gabbasov , Leonardo Di G. Sigalotti , Fidel Cruz , J. Klapp , J. M. Ramírez-Velasquez

Stellar collisions can occur frequently in dense cluster environments, and play a crucial role in producing exotic phenomena from blue stragglers in globular clusters to high-energy transients in galactic nuclei. Successive collisions and…

In the standard formation models of terrestrial planets in the solar system and close-in super-Earths in non-resonant orbits recently discovered by exoplanet observations, planets are formed by giant impacts of protoplanets or planetary…

Earth and Planetary Astrophysics · Physics 2025-09-09 Eiichiro Kokubo , Haruka Hoshino , Yuji Matsumoto , Re'em Sari

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 perform simulations of giant impacts onto the young Uranus using smoothed particle hydrodynamics (SPH) with over 100 million particles. This 100--1000$\times$ improvement in particle number reveals that simulations with below 10^7…

Earth and Planetary Astrophysics · Physics 2020-04-09 J. A. Kegerreis , V. R. Eke , P. G. Gonnet , D. G. Korycansky , R. J. Massey , M. Schaller , L. F. A. Teodoro

We have invented a new algorithm to use with self-gravitating SPH Star Formation codes. The new method is designed to enable SPH simulations to self-regulate their numerical resolution, i.e. the number of SPH particles; the latter is…

Astrophysics · Physics 2007-05-23 Spyridon Kitsionas

At the final stage of terrestrial planet formation, known as the giant impact stage, a few tens of Mars-sized protoplanets collide with one another to form terrestrial planets. Almost all previous studies on the orbital and accretional…

Earth and Planetary Astrophysics · Physics 2015-05-30 H. Genda , E. Kokubo , S. Ida

Here, we develop scaling laws for (1) the distribution of impact-induced heat within the mantle and (2) shape of the impact-induced melt based on more than 100 smoothed particle hydrodynamic (SPH) simulations. We use Legendre polynomials to…

Constraining planet formation models based on the observed exoplanet population requires generating large samples of synthetic planetary systems, which can be computationally prohibitive. A significant bottleneck is simulating the giant…

Earth and Planetary Astrophysics · Physics 2024-09-27 Caleb Lammers , Miles Cranmer , Sam Hadden , Shirley Ho , Norman Murray , Daniel Tamayo

There is increasing evidence that many km-sized bodies in the Solar System are piles of rubble bound together by gravity. We present results from a project to map the parameter space of collisions between km-sized spherical rubble piles.…

Astrophysics · Physics 2009-10-31 Z. M. Leinhardt , D. C. Richardson , T. Quinn

Planet formation simulations are capable of directly integrating the evolution of hundreds to thousands of planetary embryos and planetesimals, as they accrete pairwise to become planets. In principle such investigations allow us to better…

Earth and Planetary Astrophysics · Physics 2019-08-01 Saverio Cambioni , Erik Asphaug , Alexandre Emsenhuber , Travis S. J. Gabriel , Roberto Furfaro , Stephen R. Schwartz

We studied impact processes by means of smoothed-particle hydrodynamics (SPH) simulations. The method was applied to modeling formation of main-belt families during the cometary bombardment (either early or late, ${\sim}\,3.85\,{\rm Gy}$…

Earth and Planetary Astrophysics · Physics 2022-05-31 J. Rozehnal , M. Brož , D. Nesvorný , K. J. Walsh , D. D. Durda , D. C. Richardson , E. Asphaug

Recently observed empirical scaling laws describe the performance of foundation-type models as three independent key quantities -- dataset size, compute, and model parameters -- are modified. Extracting these scaling laws informs the…

High Energy Physics - Phenomenology · Physics 2026-05-29 Oz Amram , Darius A. Faroughy , Tjarko Gerdes , Anna Hallin , Gregor Kasieczka , Michael Krämer , Humberto Reyes-Gonzalez , David Shih

Terrestrial planet formation theory is at a bottleneck, with the growing realization that pairwise collisions are treated far too simply. Here, and in our companion paper (Cambioni et al. 2019) that introduces the training methodology, we…

Earth and Planetary Astrophysics · Physics 2020-02-28 Alexandre Emsenhuber , Saverio Cambioni , Erik Asphaug , Travis S. J. Gabriel , Stephen R. Schwartz , Roberto Furfaro

A highly favoured mechanism of planetesimal formation is collisional growth. Single dust grains, which follow gas flows in the protoplanetary disc, hit each other, stick due to van der Waals forces and form fluffy aggregates up to…

Earth and Planetary Astrophysics · Physics 2015-05-14 Ralf J. Geretshauser , Roland Speith , Carsten Güttler , Maya Krause , Jürgen Blum
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