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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

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

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

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

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

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

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

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

Previous research suggests that impacts between planetary embryos and planetesimals during the late stages of planet formation can often determine the percentages of core and mantle material that compose the newly formed planets in a…

Earth and Planetary Astrophysics · Physics 2024-06-14 Noah Ferich , Anna C. Childs , Jason H. Steffen

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

One common approach for solving collisions between protoplanets in simulations of planet formation is to employ analytical scaling laws. The most widely used one was developed by Leinhardt & Stewart (2012) from a catalog of ~ 180 N-body…

Earth and Planetary Astrophysics · Physics 2024-05-15 Samuele Crespi , Mohamad Ali-Dib , Ian Dobbs-Dixon

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

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…

Planets are expected to conclude their growth through a series of giant impacts: energetic, global events that significantly alter planetary composition and evolution. Computer models and theory have elucidated the diverse outcomes of giant…

Earth and Planetary Astrophysics · Physics 2023-12-27 Travis S. J. Gabriel , Saverio Cambioni

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

The simulation of high-energy physics collision events is a key element for data analysis at present and future particle accelerators. The comparison of simulation predictions to data allows looking for rare deviations that can be due to…

High Energy Physics - Experiment · Physics 2024-07-16 Francesco Vaselli , Filippo Cattafesta , Patrick Asenov , Andrea Rizzi

There are two popular ways to speed up simulations of planet formation via increasing the collision probability: ({\it i}) confine motion to 2D, ({\it ii}) artificially enhance the physical radii of the bodies by an expansion factor. In…

Earth and Planetary Astrophysics · Physics 2021-03-24 Áron Süli

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

Pairwise collisions between terrestrial embryos are the dominant means of accretion during the last stage of planet formation. Hence, their realistic treatment in N-body studies is critical to accurately model the formation of terrestrial…

Probabilistic collision detection (PCD) is essential in motion planning for robots operating in unstructured environments, where considering sensing uncertainty helps prevent damage. Existing PCD methods mainly used simplified geometric…

Robotics · Computer Science 2025-08-28 Xiaoli Wang , Sipu Ruan , Xin Meng , Gregory Chirikjian
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