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

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Many biological and physical systems exhibit behaviour at multiple spatial, temporal or population scales. Multiscale processes provide challenges when they are to be simulated using numerical techniques. While coarser methods such as…

Quantitative Methods · Quantitative Biology 2018-02-12 Cameron A. Smith , Christian A. Yates

Closely-packed multi-planet systems are known to experience dynamical instability if the spacings between the planets are too small. Such instability can be tempered by the frictional forces acting on the planets from gaseous discs. A…

Earth and Planetary Astrophysics · Physics 2022-06-07 Jiaru Li , Laetitia Rodet , Dong Lai

The dynamical interaction of minor bodies (such as comets or asteroids) with planets plays an essential role in the planetary system's architecture and evolution. As a result of these interactions, structures like the Kuiper belt and the…

Earth and Planetary Astrophysics · Physics 2023-07-12 Santiago Torres , Smadar Naoz , Gongjie Li , Sanaea C. Rose

We discuss the performance of direct summation codes used in the simulation of astrophysical stellar systems on highly distributed architectures. These codes compute the gravitational interaction among stars in an exact way and have an…

Astrophysics · Physics 2008-11-26 Alessia Gualandris , Simon Portegies Zwart , Alfredo Tirado-Ramos

The growth of small planetesimals into large planetary embryos occurs much before the dispersal of the gas from the protoplanetary disk. The planetesimal - gaseous-disk interactions give rise to migration and orbital evolution of the…

Earth and Planetary Astrophysics · Physics 2015-09-23 Evgeni Grishin , Hagai B. Perets

This study presents an innovative direct numerical simulation approach for complex particle systems with irregular shapes and large numbers. Using partially saturated methods, it accurately models arbitrary shapes, albeit at considerable…

Fluid Dynamics · Physics 2024-07-23 J. E. Marquardt , N. Hafen , M. J. Krause

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

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

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

While numerical simulations have been playing a key role in the studies of planet-disk interaction, testing numerical results against observations has been limited so far. With the two directly imaged protoplanets embedded in its…

We simulate planet migration caused by interactions between planets and a planetesimal disk. We use an N-body integrator optimized for near-Keplerian motion that runs in parallel on a video graphics card, and that computes all pair-wise…

Astrophysics · Physics 2008-09-18 Alexander J. Moore , Alice C. Quillen , Richard G. Edgar

The formation of planetesimals in protoplanetary disks due to collisional sticking of smaller dust aggregates has to face at least two severe obstacles, namely the rapid loss of material due to radial inward drift and particle fragmentation…

Astrophysics · Physics 2009-11-13 F. Brauer , Th. Henning , C. P. Dullemond

We extend the results of planetary formation synthesis by computing the long-term evolution of synthetic systems from the clearing of the gas disk into the dynamical evolution phase. We use the symplectic integrator SyMBA to numerically…

Earth and Planetary Astrophysics · Physics 2015-06-24 S. Pfyffer , Y. Alibert , W. Benz , D. Swoboda

Over the course of last decade, the Nice model has dramatically changed our view of the solar system's formation and early evolution. Within the context of this model, a transient period of planet-planet scattering is triggered by…

Earth and Planetary Astrophysics · Physics 2019-06-07 Siteng Fan , Konstantin Batygin

Recent observations have indicated a strong connection between compact ($a \lesssim 0.5$ au) super-Earth and mini-Neptune systems and their outer ($a \gtrsim$ a few au) giant planet companions. We study the dynamical evolution of such inner…

Earth and Planetary Astrophysics · Physics 2021-09-22 Bonan Pu , Dong Lai

Despite the increase in observational data on exoplanets, the processes that lead to the formation of planets are still not well understood. But thanks to the high number of known exoplanets, it is now possible to look at them as a…

Earth and Planetary Astrophysics · Physics 2015-06-22 C. Mordasini , P. Mollière , K. -M. Dittkrist , S. Jin , Y. Alibert

Polynomial dynamical systems describing interacting particles in the plane are studied. A method replacing integration of a polynomial multi--particle dynamical system by finding polynomial solutions of a partial differential equations is…

Exactly Solvable and Integrable Systems · Physics 2014-07-08 Maria V. Demina , Nikolai A. Kudryashov

Constraining the formation processes of small solar system bodies is crucial for gaining insights into planetesimal formation. Their bulk densities, determined by their compressive strengths, offer valuable information about their formation…

Earth and Planetary Astrophysics · Physics 2024-08-01 Misako Tatsuuma , Akimasa Kataoka , Hidekazu Tanaka , Tristan Guillot

Numerical simulations of planet-disk interactions are usually performed with hydro-codes that -- because they consider only an annulus of the disk, over a 2D grid -- can not take into account the global evolution of the disk. However, the…

Astrophysics · Physics 2008-11-26 A. Crida , A. Morbidelli , F. Masset

Aims. Comparing theoretical models with observations allows one to make key step forward towards an understanding of planetary systems. It however requires a model able to (i) predict all the necessary observable quantities (not only masses…

Earth and Planetary Astrophysics · Physics 2021-12-08 Alexandre Emsenhuber , Christoph Mordasini , Remo Burn , Yann Alibert , Willy Benz , Erik Asphaug