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Gravitational torques between a planet and gas in the protoplanetary disk result in orbital migration of the planet, and are likely to play an important role in the formation and early evolution of planetary systems. For masses comparable…

Astrophysics · Physics 2007-05-23 Philip J. Armitage , W. K. M. Rice

This paper presents a generalized treatment of Type I planetary migration in the presence of stochastic perturbations. In many planet-forming disks, the Type I migration mechanism, driven by asymmetric torques, acts on a short time scale…

Earth and Planetary Astrophysics · Physics 2011-02-11 Fred C. Adams , Anthony M. Bloch

As planets grow the exchange of angular momentum with the gaseous component of the protoplanetary disc produces a net torque resulting in a variation of the semi-major axis of the planet. For low-mass planets not able to open a gap in the…

Earth and Planetary Astrophysics · Physics 2019-05-15 O. M. Guilera , N. Cuello , M. Montesinos , M. M. Miller Bertolami , M. P. Ronco , J. Cuadra , F. S. Masset

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

We give an expression for the Lindblad torque acting on a low-mass planet embedded in a protoplanetary disk that is valid even at locations where the surface density or temperature profile cannot be approximated by a power law, such as an…

Earth and Planetary Astrophysics · Physics 2012-06-14 F. S. Masset

Earth-mass bodies are expected to undergo Type I migration directed either inward or outward depending on the thermodynamical state of the protoplanetary disc. Zones of convergent migration exist where the Type I torque cancels out. We…

Earth and Planetary Astrophysics · Physics 2015-06-16 Arnaud Pierens , Christophe Cossou , Sean Raymond

With the increasing number of exoplanets discovered, statistical properties of the population as a whole become unique constraints on planet formation models provided a link between the description of the detailed processes playing a role…

Earth and Planetary Astrophysics · Physics 2015-06-18 W. Benz , S. Ida , Y. Alibert , D. N. C. Lin , C. Mordasini

In a further development of a deterministic planet-formation model (Ida & Lin 2004), we consider the effect of type-I migration of protoplanetary embryos due to their tidal interaction with their nascent disks. During the early embedded…

Astrophysics · Physics 2007-09-11 Shigeru Ida , D. N. C. Lin

Low-mass planets that are in the process of growing larger within protoplanetary disks exchange torques with the disk and change their semi-major axis accordingly. This process is called type I migration and is strongly dependent on the…

Earth and Planetary Astrophysics · Physics 2025-07-16 Thomas Saupe , Bertram Bitsch

Planetary population synthesis is a tool to understand the physics of planetary system formation. It builds on a model that includes a multitude of physical processes. The outcome can be statistically compared with exoplanet observations.…

Earth and Planetary Astrophysics · Physics 2023-03-02 Alexandre Emsenhuber , Christoph Mordasini , Remo Burn

Recent surveys show that protoplanetary disks have lower levels of turbulence than expected based on their observed accretion rates. A viable solution to this is that magnetized disk winds dominate angular momentum transport. This has…

Earth and Planetary Astrophysics · Physics 2022-08-17 Matthew Alessi , Ralph E. Pudritz

As planets form they tidally interact with their natal disks. Though the tidal perturbation induced by Earth and super-Earth mass planets is generally too weak to significantly modify the structure of the disk, the interaction is…

Earth and Planetary Astrophysics · Physics 2015-06-05 Katherine A. Kretke , D. N. C. Lin

Planet formation is inherently linked to protoplanetary disc evolution, which recent developments suggest is driven by magnetised winds rather than turbulent viscosity. We study planet formation in magnetohydrodynamic (MHD) wind-driven…

Earth and Planetary Astrophysics · Physics 2026-01-07 Jesse Weder , Christoph Mordasini

We develop a simple model for computing planetary formation based on the core instability model for the gas accretion and the oligarchic growth regime for the accretion of the solid core. In this model several planets can form…

Astrophysics · Physics 2009-11-13 Yamila Miguel , Adrian Brunini

Planets with masses larger than about 0.1 Earth-masses undergo rapid inward migration (type I migration) in a standard protoplanetary disk. Recent magnetohydrodynamical simulations revealed the presence of magnetically driven disk winds,…

Earth and Planetary Astrophysics · Physics 2018-07-18 Masahiro Ogihara , Eiichiro Kokubo , Takeru K. Suzuki , Alessandro Morbidelli

The physics of planet formation is investigated using a population synthesis approach. We develop a simple model for planetary growth including pebble and gas accretion, and orbital migration in an evolving protoplanetary disk. The model is…

Earth and Planetary Astrophysics · Physics 2018-10-10 John Chambers

Planets migrate due to the recoil they experience from scattering solid (planetesimal) bodies. To first order, the torques exerted by the interior and exterior disks cancel, analogous to the cancellation of the torques from the…

Earth and Planetary Astrophysics · Physics 2015-06-05 Chris Ormel , Shigeru Ida , Hidekazu Tanaka

Population synthesis models of planetary systems developed during the last $\sim$15 years could reproduce several of the observables of the exoplanet population, and also allowed to constrain planetary formation models. We present our…

Earth and Planetary Astrophysics · Physics 2017-08-16 M. P. Ronco , O. M. Guilera , G. C. de Elía

In stellar astrophysics, the technique of population synthesis has been successfully used for several decades. For planets, it is in contrast still a young method which only became important in recent years because of the rapid increase of…

Earth and Planetary Astrophysics · Physics 2018-12-05 Christoph Mordasini

We provide torque formulae for low mass planets undergoing type I migration in gaseous disks. These torque formulae put special emphasis on the horseshoe drag, which is prone to saturation: the asymptotic value reached by the horseshoe drag…

Earth and Planetary Astrophysics · Physics 2010-10-28 Frederic S. Masset , Jules Casoli
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