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We study the interaction of a proto-planetary disk and a planet on a highly inclined orbit in the linear regime. The evolution of the planet is dominated by dynamical friction for planet masses above several Earth-masses. Smaller planets…

Earth and Planetary Astrophysics · Physics 2012-05-23 Hanno Rein

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

We present results from a suite of N-body simulations that follow the accretion history of the terrestrial planets using a new parallel treecode that we have developed. We initially place 2000 equal size planetesimals between 0.5--4.0 AU…

Earth and Planetary Astrophysics · Physics 2015-05-19 Ryuji Morishima , Joachim Stadel , Ben Moore

We present N-body simulations of planetary system formation in thermally-evolving, viscous disc models. The simulations incorporate type I migration (including corotation torques and their saturation), gap formation, type II migration, gas…

Earth and Planetary Astrophysics · Physics 2015-06-22 Gavin A. L. Coleman , Richard P. Nelson

The Hertzsprung-Russell diagram (HRD) is central to stellar astrophysics but has rarely been used to interpret planet formation. We extend the HRD concept to forming planets and study how solid and gas accretion, cooling/contraction, and…

Earth and Planetary Astrophysics · Physics 2026-05-20 Benedikt Gottstein , Gabriel-Dominique Marleau , Christoph Mordasini

Aims. In the context of the core instability model, we present calculations of in situ giant planet formation. The oligarchic growth regime of solid protoplanets is the model adopted for the growth of the core. Methods. The full…

Astrophysics · Physics 2009-11-13 A. Fortier , O. G. Benvenuto , A. Brunini

High-multiplicity Kepler systems (referred to as Kepler multis) are often tightly packed and may be on the verge of instability. Many systems of this type could have experienced past instabilities, where the compact orbits and often low…

Earth and Planetary Astrophysics · Physics 2017-08-02 Jason A. Hwang , Jason H. Steffen , James C. Lombardi , Frederic A. Rasio

In a standard theory of the formation of the planets in our Solar System, terrestrial planets and cores of gas giants are formed through accretion of kilometer-sized objects (planetesimals) in a protoplanetary disk. Gravitational $N$-body…

Earth and Planetary Astrophysics · Physics 2021-06-17 Yota Ishigaki , Junko Kominami , Junichiro Makino , Masaki Fujimoto , Masaki Iwasawa

The ubiquity of planets and diversity of planetary systems reveal planet formation encompass many complex and competing processes. In this series of papers, we develop and upgrade a population synthesis model as a tool to identify the…

Earth and Planetary Astrophysics · Physics 2015-06-16 S. Ida , D. N. C. Lin , M. Nagasawa

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

Formation of the planets in the Kepler-36 system is modeled by detailed numerical simulations according to the core-nucleated accretion scenario. The standard model is updated to include the dissolution of accreting rocky planetesimals in…

Earth and Planetary Astrophysics · Physics 2018-12-12 Peter Bodenheimer , David J. Stevenson , Jack J. Lissauer , Gennaro D'Angelo

Evidence of mutually inclined planetary orbits has been reported for giant planets these last years. Here we aim to study the impact of eccentric and inclined massive giant planets on the terrestrial planet formation process, and…

Earth and Planetary Astrophysics · Physics 2018-06-06 Sotiris Sotiriadis , Anne-Sophie Libert , Sean N. Raymond

Accurate $N$-body simulations of multiple systems such as binaries and triples are essential for understanding the formation and evolution of interacting binaries and binary mergers, including gravitational wave sources, blue stragglers and…

Instrumentation and Methods for Astrophysics · Physics 2024-12-04 Long Wang

A large proportion of observed planetary systems contain several planets in a compact orbital configuration, and often harbor at least one close-in object. These systems are then most likely tidally evolving. We investigate how the effects…

Earth and Planetary Astrophysics · Physics 2015-11-11 Emeline Bolmont , Sean N. Raymond , Jeremy Leconte , Franck Hersant , Alexandre C. M. Correia

Observations have confirmed the existence of multiple-planet systems containing a hot Jupiter and smaller planetary companions. Examples include WASP-47, Kepler-730, and TOI-1130. We examine the plausibility of forming such systems in situ…

Earth and Planetary Astrophysics · Physics 2021-05-26 Sanson T. S. Poon , Richard P. Nelson , Gavin A. L. Coleman

Simulation of many-particle system evolution by molecular dynamics takes to decrease integration step to provide numerical scheme stability on the sufficiently large time interval. It leads to a significant increase of the volume of…

Numerical Analysis · Mathematics 2016-05-19 Eduard G. Nikonov

Previous models of the combined growth and migration of protoplanets needed large ad hoc reduction factors for the type I migration rate as found in the isothermal approximation. In order to eliminate these factors, a simple semi-analytical…

Earth and Planetary Astrophysics · Physics 2015-05-27 C. Mordasini , K. -M. Dittkrist , Y. Alibert , H. Klahr , W. Benz , T. Henning

This paper deals with the problem of simulating dense dispersed systems composed by large numbers of particles undergoing ballistic aggregation. The most classical approaches for dealing with such problems are represented by the so-called…

Computational Physics · Physics 2024-09-25 Pierre Degond , Giacomo Dimarco , Marina Ferreira , Sophie Hecht

Planet formation encompasses processes that span a remarkable 40 magnitudes in mass, ranging from collisions between micron-sized grains inherited from the ISM to the accretion of gas by giant planets. The planet formation process takes…

Earth and Planetary Astrophysics · Physics 2024-12-18 Chris Ormel

Earth-mass planets are expected to have atmospheres and experience thermal tides raised by the host star. These tides transfer energy to the planet that can counter the dissipation from bodily tides. Indeed, even a relatively thin…

Earth and Planetary Astrophysics · Physics 2023-12-13 Ema F. S. Valente , Alexandre C. M. Correia