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We present models of giant planet migration in evolving protoplanetary disks. Our disks evolve subject to viscous transport of angular momentum and photoevaporation, while planets undergo Type II migration. We use a Monte Carlo approach,…

Earth and Planetary Astrophysics · Physics 2014-11-20 R. D. Alexander , P. J. Armitage

This paper focuses on two-planet systems in a first-order $(q+1):q$ mean motion resonance and undergoing type-I migration in a disc. We present a detailed analysis of the resonance valid for any value of $q$. Expressions for the equilibrium…

Earth and Planetary Astrophysics · Physics 2018-10-17 Caroline Terquem , John Papaloizou

The emergence of orbital resonances among planets is a natural consequence of the early dynamical evolution of planetary systems. While it is well-established that convergent migration is necessary for mean-motion commensurabilities to…

Earth and Planetary Astrophysics · Physics 2023-04-05 Konstantin Batygin , Antoine C. Petit

Previous work has shown that the tidal interaction between a binary system and a circumbinary disc leads to the formation of a large inner cavity in the disc. Subsequent formation and inward migration of a low mass planet causes it to…

Astrophysics · Physics 2009-11-13 Arnaud Pierens , Richard P. Nelson

We study the evolution of a system consisting of two protoplanets still embedded in a protoplanetary disk. Results of two different numerical approaches are presented. In the first kind of model the motion of the disk material is followed…

Astrophysics · Physics 2023-07-19 Willy Kley

We present the results of hydrodynamic simulations of the formation and subsequent orbital evolution of giant planets embedded in a circumbinary disc. We assume that a 20 earth masses core has migrated to the edge of the inner cavity formed…

Astrophysics · Physics 2009-11-13 Arnaud Pierens , Richard P. Nelson

We consider two protoplanets gravitationally interacting with each other and a protoplanetary disc. The two planets orbit interior to a tidally maintained disc cavity while the disc interaction indices inward migration. When the migration…

Astrophysics · Physics 2009-11-06 M. D. Snellgrove , J. C. B. Papaloizou , R. P. Nelson

We consider a two-planet system, which migrates under the influence of dissipative forces that mimic the effects of gas-driven (Type II) migration. It has been shown that, in the planar case, migration leads to resonant capture after an…

Earth and Planetary Astrophysics · Physics 2017-02-10 G. Voyatzis , K. I. Antoniadou , K. Tsiganis

This chapter concerns the long-term dynamical evolution of planetary systems from both theoretical and observational perspectives. We begin by discussing the planet-planet interactions that take place within our own Solar System. We then…

Earth and Planetary Astrophysics · Physics 2015-06-18 Melvyn B. Davies , Fred C. Adams , Philip Armitage , John Chambers , Eric Ford , Alessandro Morbidelli , Sean N. Raymond , Dimitri Veras

Pairs of migrating extrasolar planets often lock into mean motion resonance as they drift inward. This paper studies the convergent migration of giant planets (driven by a circumstellar disk) and determines the probability that they are…

Earth and Planetary Astrophysics · Physics 2015-05-20 Jacob A. Ketchum , Fred C. Adams , Anthony M. Bloch

Planets migrating in their natal discs can be captured into mean-motion resonance (MMR), in which the planets' periods are related by integer ratios. Recent observations indicate that planets in MMR can be either apsidally aligned or…

Earth and Planetary Astrophysics · Physics 2022-10-26 JT Laune , Laetitia Rodet , Dong Lai

Detections of planets in eccentric, close (separations of ~20 AU) binary systems such as \alpha Cen or \gamma Cep provide an important test of planet formation theories. Gravitational perturbations from the companion are expected to excite…

Earth and Planetary Astrophysics · Physics 2016-08-31 Kedron Silsbee , Roman R. Rafikov

We assess the multi-planet systems discovered by the Kepler satellite in terms of current ideas about orbital migration and eccentricity damping due to planet-disk interactions. Our primary focus is on mean motion resonances. Only a few…

Earth and Planetary Astrophysics · Physics 2015-06-17 Peter Goldreich , Hilke E. Schlichting

More than half of Solar-type stars are found in binary systems. The numbers of exoplanets within binary systems in s-type orbits now numbers over 700. However, whilst the numbers have increased, there still does not exist a global model of…

Earth and Planetary Astrophysics · Physics 2026-03-27 Gavin A. L. Coleman

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

In this paper we present numerical simulations of the evolution of planets or massive satellites captured in the 2/1 and 3/1 resonances, under the action of an anti-dissipative tidal force. The evolution of resonant trapped bodies show a…

Astrophysics · Physics 2023-07-19 S. Ferraz-Mello , C. Beauge , T. A. Michtchenko

In this work, we extensively investigate the formation of near 4:2:1 mean motion resonances (MMRs) configuration by performing two sets of N-body simulations. We model the eccentricity damping, gas drag, type I and type II planetary…

Earth and Planetary Astrophysics · Physics 2017-02-22 Zhao Sun , Jianghui Ji , Su Wang , Sheng Jin

The stellar spin orientation relative to the orbital planes of multiplanet systems are becoming accessible to observations. Here, we analyze and classify different types of spin-orbit evolution in compact multiplanet systems perturbed by an…

Earth and Planetary Astrophysics · Physics 2015-06-19 Gwenaël Boué , Daniel Fabrycky

We present an analytical and numerical study of the orbital migration and resonance capture of fictitious two-planet systems with masses in the super-Earth range undergoing Type-I migration. We find that, depending on the flare index and…

Earth and Planetary Astrophysics · Physics 2017-06-28 X. S. Ramos , C. Charalambous , P. Benítez-Llambay , C. Beaugé

Early dynamical evolution of close-in planetary systems is shaped by an intricate combination of planetary gravitational interactions, orbital migration, and dissipative effects. While the process of convergent orbital migration is expected…

Earth and Planetary Astrophysics · Physics 2019-05-01 Gabriele Pichierri , Konstantin Batygin , Alessandro Morbidelli