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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

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

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 present a new, simple, fast algorithm to numerically evolve disks of inelastically colliding particles surrounding a central star. Our algorithm adds negligible computational cost to the fastest existing collisionless N-body codes, and…

Astrophysics · Physics 2008-11-26 Yoram Lithwick , Eugene Chiang

Numerical simulations of the stochastic end stage of planet formation typically begin with a population of embryos and planetesimals that grow into planets by merging. We analyzed the impact parameters of collisions leading to the growth of…

Earth and Planetary Astrophysics · Physics 2012-05-04 S. T. Stewart , Z. M. Leinhardt

In the standard scenario of planet formation, terrestrial planets, ice giants, and cores of gas giants are formed by the accumulation of planetesimals. However, there are few N-body simulation studies of planetesimal accretion that…

Earth and Planetary Astrophysics · Physics 2021-11-17 Takashi Shibata , Eiichiro Kokubo , Natsuki Hosono

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

We develop a formalism for calculating probabilities for the outcomes of stellar dynamical interactions, based on results from $N$-body scattering experiments. We focus here on encounters involving up to six particles and calculate…

Solar and Stellar Astrophysics · Physics 2015-06-24 Nathan W. C. Leigh , Aaron M. Geller

A method is developed to calculate collision probability in this paper. Based on the encounter geometric features of space objects, it is reasonable to separate the radial orbital motions from that in the cross section for most encounter…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Xiaoli Xu , Yongqing Xiong

We present a fragmentation module and a composition tracking code for the $n$-body code REBOUND. Our fragmentation code utilises previous semi-analytic models and follows an implementation method similar to fragmentation for the $n$-body…

Earth and Planetary Astrophysics · Physics 2022-02-09 Anna C. Childs , Jason H. Steffen

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

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

The last phase of the formation of rocky planets is dominated by collisions among Moon- to Mars-sized planetary embryos. Simulations of this phase need to handle the difficulty of including the post-impact material without saturating the…

We present an experimental investigation of the statistical properties of spherical granular particles on an inclined plane that are excited by an oscillating side-wall. The data is obtained by high-speed imaging and particle tracking…

Soft Condensed Matter · Physics 2009-11-07 Daniel L. Blair , A. Kudrolli

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

We investigate the outcomes of collisions between Mars-sized bodies through smooth particle hydrodynamics (SPH) simulations, focusing on the transitions among ``merging'', ``hit-and-run'', and catastrophic disruption. By systematically…

Earth and Planetary Astrophysics · Physics 2025-12-18 Hiroshi Kobayashi , Hidekazu Tanaka , Yukihiko Hasegawa , Shu-ichiro Inutsuka

We revisit the computation of a probability of collision in the context of automotive collision avoidance (also referred to as conflict detection in other contexts). After reviewing existing approaches to the definition and computation of a…

Systems and Control · Electrical Eng. & Systems 2022-06-20 Richard Altendorfer , Christoph Wilkmann

The joint influence of numerical parameters such as the number of particles N, the gravitational softening length $\epsilon$ and the time-step $\Delta t$ is investigated in the context of galaxy simulations. For isolated galaxy models we…

Astrophysics · Physics 2014-10-13 R. F. Gabbasov , M. A. Rodriguez-Meza , Jaime Klapp , Jorge L. Cervantes-Cota

Giant impacts have been suggested to explain various characteristics of terrestrial planets and their moons. However, so far in most models only the immediate effects of the collisions have been considered, while the long-term interior…

Earth and Planetary Astrophysics · Physics 2019-08-01 Gregor J. Golabek , Alexandre Emsenhuber , Martin Jutzi , Erik I. Asphaug , Taras V. Gerya

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
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