Papers by Luiz Alberto de Paula
Monthly Notices of the Royal Astronomical Society, 2019
In this work, we adapt a module for planetary formation within the hydrodynamic code FARGO3D. Pla... more In this work, we adapt a module for planetary formation within the hydrodynamic code FARGO3D. Planetary formation is modeled by a solid core accretion scenario, with the core growing in oligarchic regime. The initial superficial density of planetes-imals is proportional to the initial superficial density of gas in the disc. We include a numerical approach to describe the evolution of the eccentricity and the inclination of planetesimals during the formation. This approach impacts directly on the accretion rate of solids. When the core reaches a critical mass, gas accretion begins, following the original FARGO scheme adapted to the FARGO3D code. To exemplify how the module for planetary formation can be used, we investigate the migration of a planet in a two-dimensional, locally isothermal gas disc with a prescribed accretion rate, analyzing the timescale involved in the planetary migration process along with the timescale for planetary formation. The analysis reveals that the mass of the nucleus must be close to its critical value when crossing the ice line to avoid the planet's fall into the stellar envelope. This will allow enough time for the planet to initiate runaway gas accretion, leading to a rapid mass increase and entering type II planetary migration.
Monthly Notices of the Royal Astronomical Society, 2018
FARGO3D has been proposed to investigate numerically the gravitational interaction of the planet ... more FARGO3D has been proposed to investigate numerically the gravitational interaction of the planet with the gas disc, providing original outcomes. However, FARGO3D does not consider the gas accretion of the planet that may affect the planetary migration process. Thus, the aim of this paper is to include a model for the gas accretion in the FARGO3D code. For this task, we choose Russell's scheme, which is an adaptation of Kley's model for the gas accretion onto migrating planets. Initially, we study the influence of the gas accretion onto the planet on type II migration of giant planets. For this purpose, we follow the evolution of the planets in a two-dimensional locally isothermal disc with a specific accretion rate and different values of viscosity and planetary mass considering two scenarios. In the first, the gas mass is withdrawn from the disc and is not added to the planet. In the second the planets migrate, while their masses grow due to the gas accretion. Then, we extend our study to estimate the time needed for a low mass planet to open a gap in the gas disc, and compare its value with the characteristic time of type I migration.
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Papers by Luiz Alberto de Paula