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Massive planets form within the lifetime of protoplanetary disks and undergo orbital migration due to planet-disk interactions. When the first planet reaches the inner edge of the disk its migration stops and the second planet is locked in…

Earth and Planetary Astrophysics · Physics 2018-08-27 Gabriele Pichierri , Alessandro Morbidelli , Aurélien Crida

Co-orbital planets (in a $1:1$ mean motion resonance) can be formed within a Laplace resonance chain. Here, we develop a secular model to study the dynamics of the resonance chain $p:p:p+1$, where the co-orbital pair is in a first-order…

Earth and Planetary Astrophysics · Physics 2022-08-10 Jérémy Couturier , Philippe Robutel , Alexandre C. M. Correia

Planets close to their stars are thought to form farther out and migrate inward due to angular momentum exchange with gaseous protoplanetary disks. This process can produce systems of planets in co-orbital (Trojan or 1:1) resonance, in…

Earth and Planetary Astrophysics · Physics 2015-06-19 Arnaud Pierens , Sean Raymond

We investigate the stability of those low-mass Trojan planets that form in a protoplanetary disc and subsequently accrete gas to become gas giants. We calculate their evolution before, during, and after gas disc dispersal. A two-dimensional…

Astrophysics · Physics 2009-11-13 Paul Cresswell , Richard P. Nelson

Close-in co-orbital planets (in a 1:1 mean motion resonance) can experience strong tidal interactions with the central star. Here, we develop an analytical model adapted to the study of the tidal evolution of those systems. We use a…

Earth and Planetary Astrophysics · Physics 2023-11-01 Jérémy Couturier , Philippe Robutel , Alexandre C. M. Correia

We study the stability regions and families of periodic orbits of two planets locked in a co-orbital configuration. We consider different ratios of planetary masses and orbital eccentricities, also we assume that both planets share the same…

Earth and Planetary Astrophysics · Physics 2015-05-18 C. A. Giuppone , C. Beaugé , T. A. Michtchenko , S. Ferraz-Mello

The size distribution of the stability region around the Lagrangian point L4 is investigated in the elliptic restricted three-body problem as the function of the mass parameter and the orbital eccentricity of the primaries. It is shown that…

Astrophysics · Physics 2009-11-13 B. Erdi , I. Nagy , Z. Sandor , A. Suli , G. Frohlich

We investigate the stability of motion close to the Lagrangian equilibrium points L4 and L5 in the framework of the spatial, elliptic, restricted three- body problem, subject to the radial component of Poynting-Robertson drag. For this…

Earth and Planetary Astrophysics · Physics 2015-06-23 Christoph Lhotka , Alessandra Celletti

We study orbital inclination changes associated with the precession of a disc-planet system that occurs through gravitational interaction with a binary companion on an inclined orbit. We investigate whether this scenario can account for…

Earth and Planetary Astrophysics · Physics 2014-02-14 M. Xiang-Gruess , J. C. B. Papaloizou

In this paper we study the location and stability of the collinear Lagrangian points for the RTBP for the case in which one of the primary bodies is radiating and the other is oblate. We consider the effect of Poynting-Roberson drag and…

Earth and Planetary Astrophysics · Physics 2026-01-14 Ibtisam Shaikh , Priya Hasan , S. N. Hasan

We present a theoretical framework for investigating a two-planet system undergoing convergent type I migration in a protoplanetary disk. Our study identifies the conditions for resonant capture and subsequent dynamical stability. By…

Earth and Planetary Astrophysics · Physics 2025-10-22 Linghong Lin , Beibei Liu , Zekai Zheng

Direct imaging has revealed exoplanet systems hosting multiple wide-orbit Super-Jupiters, where planet-planet interactions can shape their long-term dynamical evolution. These strong perturbations may lead to orbital instability, raising…

Earth and Planetary Astrophysics · Physics 2025-10-17 Clarissa R. Do Ó , Jaehan Bae , Quinn M. Konopacky , Jayke S. Nguyen , Patrick Diamond , Krzysztof Goździewski , Dawid Jankowski

When two planets are born in a protoplanetary disk, they may enter into a mean-motion resonance as a consequence of the convergent planetary migration. The formation of mean-motion resonances is important for understanding how the planetary…

Earth and Planetary Astrophysics · Physics 2020-05-13 Kazuhiro D. Kanagawa , Ewa Szuszkiewicz

In the coming years, high contrast imaging surveys are expected to reveal the characteristics of the population of wide-orbit, massive, exoplanets. To date, a handful of wide planetary mass companions are known, but only one such…

Earth and Planetary Astrophysics · Physics 2016-06-08 Sarah J. Morrison , Kaitlin M. Kratter

Planetary formation might occur at different stages of the stellar evolution of compact binaries. In recent years, the formation of second-generation planets has been tested in circumbinary discs formed by the ejection of stellar material…

Earth and Planetary Astrophysics · Physics 2026-02-04 Arianna Nigioni , Diego Turrini , Camilla Danielski , Danae Polychroni , John E. Chambers

Co-orbital planets have not yet been discovered, although they constitute a frequent by-product of planetary formation and evolution models. This lack may be due to observational biases, since the main detection methods are unable to spot…

Earth and Planetary Astrophysics · Physics 2017-03-01 Adrien Leleu , Philippe Robutel , Alexandre C M Correia , Jorge Lillo-Box

We study the stability of mean-motion resonances (MMR) between two planets during their migration in a protoplanetary disk. We use an analytical model of resonances, and describe the effect of the disk by a migration timescale (T_{m,i}) and…

Earth and Planetary Astrophysics · Physics 2015-07-22 J. -B. Delisle , A. C. M. Correia , J. Laskar

Mean-motion resonances (MMRs) are likely to play an important role both during and after the lifetime of a protostellar gas disk. We study the dynamical evolution and stability of planetary systems containing two giant planets on circular…

Astrophysics · Physics 2009-06-23 Aaron T. Lee , Edward W. Thommes , Frederic A. Rasio

In the spatial circular restricted three-body problem librational motion around the Lagrangian points $L_4$ and $L_5$ exists up to high inclinations of the massless object. We report the results of numerical investigations on the stability…

Earth and Planetary Astrophysics · Physics 2017-08-10 Ákos Bazsó , Richard Schwarz , Bálint Érdi , Barbara Funk

We study the orbital evolution of the 4 giant planets of our solar system in a gas disk. Our investigation extends the previous works by Masset and Snellgrove (2001) and Morbidelli and Crida (2007, MC07), which focussed on the dynamics of…

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