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The dynamics of planetesimals plays an important role in planet formation, because their velocity distribution sets the growth rate to larger bodies. When planetesimals form in protoplanetary discs, their orbits are nearly circular and…

Earth and Planetary Astrophysics · Physics 2020-11-25 Sebastian Lorek , Anders Johansen

In early Solar System numerical simulations, where chaos is a primary driver, it is difficult to explore parameter space in a systematic way. In such simulations, stable configurations are hard to come by, and often require special…

Earth and Planetary Astrophysics · Physics 2025-10-23 Arcelia Hermosillo Ruiz , Ruth Murray-Clay , Kathryn Volk , Rosemary Pike

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

Planetary systems with more than two bodies will experience orbital crossings at a time related to the initial orbital separations of the planets. After a crossing, the system enters a period of chaotic evolution ending in the reshaping of…

Earth and Planetary Astrophysics · Physics 2018-09-19 David R. Rice , Frederic A. Rasio , 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

Remote measurements and in-situ observations confirm the idea that asteroids up to few hundreds of meters in size might be rubble piles. The dynamics of these objects can be studied using N-body simulations of gravitational aggregation. We…

Earth and Planetary Astrophysics · Physics 2020-06-24 Fabio Ferrari , Paolo Tanga

The late-stage formation of giant planetary systems is rich in interesting dynamical mechanisms. Previous simulations of three giant planets initially on quasi-circular and quasi-coplanar orbits in the gas disc have shown that highly…

Earth and Planetary Astrophysics · Physics 2018-05-02 Anne-Sophie Libert , Sotiris Sotiriadis , Kyriaki I. Antoniadou

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

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

The gravitational interaction between a protoplanetary disc and planetary sized bodies that form within it leads to the exchange of angular momentum, resulting in migration of the planets and possible gap formation in the disc for more…

Earth and Planetary Astrophysics · Physics 2009-06-25 Richard P. Nelson Sijme-Jan Paardekooper

Simulations of purely self-gravitating N-body systems are often used in astrophysics and cosmology to study the collisionless limit of such systems. Their results for macroscopic quantities should then converge well for sufficiently large…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-15 David Benhaiem , Michael Joyce , Francesco Sylos Labini , Tirawut Worrakitpoonpon

We investigate the formation of multiple-planet systems in the presence of a hot Jupiter using extended N-body simulations that are performed simultaneously with semi-analytic calculations. Our primary aims are to describe the planet…

Earth and Planetary Astrophysics · Physics 2015-06-19 Masahiro Ogihara , Hiroshi Kobayashi , Shu-ichiro Inutsuka

Direct collisions between finite-sized particles occur commonly in many areas of astrophysics. Such collisions are typically mediated by chaotic, bound gravitational interactions involving small numbers of particles. An important…

Astrophysics of Galaxies · Physics 2020-11-03 Carlos Barrera , Nathan W. C. Leigh , Bastián Reinoso , Amelia M. Stutz , Dominik Schleicher

There is evidence that exoplanet systems display intra-system uniformity in mass, radius, and orbital spacing (like ``peas in a pod'') when compared with the system-to-system variations of planetary systems. This has been interpreted as the…

Earth and Planetary Astrophysics · Physics 2023-07-18 Caleb Lammers , Sam Hadden , Norman Murray

The solar system's dynamical state can be explained by an orbital instability among the giant planets. A recent model has proposed that the giant planet instability happened during terrestrial planet formation. This scenario has been shown…

Earth and Planetary Astrophysics · Physics 2019-01-09 Matthew S. Clement , Nathan A. Kaib , Sean N. Raymond , John E. Chambers , Kevin J. Walsh

We aim to investigate the influence of the eccentricity and inclination damping due to planet-disc interactions on the final configurations of the systems, generalizing previous studies on the combined action of the gas disc and…

Earth and Planetary Astrophysics · Physics 2016-12-09 Sotiris Sotiriadis , Anne-Sophie Libert , Bertram Bitsch , Aurélien Crida

The final "giant-impact" phase of terrestrial planet formation is believed to begin with a large number of planetary "embryos" on nearly circular, coplanar orbits. Mutual gravitational interactions gradually excite their eccentricities…

Earth and Planetary Astrophysics · Physics 2015-07-15 Scott Tremaine

Planet-disk interactions, where an embedded massive body interacts gravitationally with the protoplanetary disk it was formed in, can play an important role in reshaping both the disk and the orbit of the planet. Spiral density waves are…

Earth and Planetary Astrophysics · Physics 2022-11-09 Sijme-Jan Paardekooper , Ruobing Dong , Paul Duffell , Jeffrey Fung , Frederic S. Masset , Gordon Ogilvie , Hidekazu Tanaka

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

The giant impact phase of terrestrial planet formation establishes connections between super-Earths' orbital properties (semimajor axis spacings, eccentricities, mutual inclinations) and interior compositions (the presence or absence of…

Earth and Planetary Astrophysics · Physics 2016-05-09 Rebekah I. Dawson , Eve J. Lee , Eugene Chiang
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