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Related papers: Resonance Trapping in Protoplanetary Disks. I. Cop…

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Recent observations of Kepler multi-planet systems have revealed a number of systems with planets very close to second-order mean motion resonances (MMRs, with period ratio $1:3$, $3:5$, etc.) We present an analytic study of resonance…

Earth and Planetary Astrophysics · Physics 2021-11-03 Wenrui Xu , Dong Lai

Mean-motion resonances (MMRs) form through convergent disc migration of planet pairs, which may be disrupted by dynamical instabilities after protoplanetary disc (PPD) dispersal. This scenario is supported by recent analysis of TESS data…

Earth and Planetary Astrophysics · Physics 2025-05-21 Yi-Xian Chen , Yinhao Wu , Ya-Ping Li , Douglas N. C. Lin , Richard Alexander , Sergei Nayakshin , Fei Dai

The dynamical interactions that occur in newly formed planetary systems may reflect the conditions occurring in the protoplanetary disk out of which they formed. With this in mind, we explore the attainment and maintenance of orbital…

Earth and Planetary Astrophysics · Physics 2015-05-14 John C. B. Papaloizou , Ewa Szuszkiewicz

We study the dynamics of a system of two super-Earths embedded in a protoplanetary disc. We build a simple model of an irradiated viscous disc and use analytical prescriptions for the planet-disc interactions which lead to migration. We…

Earth and Planetary Astrophysics · Physics 2015-09-09 Cezary Migaszewski

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

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

Among $\sim 160$ of the multiple exoplanetary systems confirmed, about $30\%$ of them have neighboring pairs with a period ratio $\leq 2$. A significant fraction of these pairs are around mean motion resonance (MMR), more interestingly,…

Earth and Planetary Astrophysics · Physics 2015-06-22 Xiaojia Zhang , Hui Li , Shengtai Li , Douglas N. C. Lin

The aim of this work is to study the impact of a binary companion on the evolution of two-planet systems during both the type-II migration phase and their long-term evolution after the dissipation of the protoplanetary disk. We use the…

Earth and Planetary Astrophysics · Physics 2022-08-17 Arnaud Roisin , Nikita Doukhanin , Jean Teyssandier , Anne-Sophie Libert

Capture into mean motion resonance (MMR) is an important dynamical mechanism as it shapes the final architecture of a planetary system. We simulate systems of two or three planets undergoing migration with varied initial parameters such as…

Earth and Planetary Astrophysics · Physics 2023-01-11 Kaltrina Kajtazi , Antoine C. Petit , Anders Johansen

We investigate how the conditions occurring in a protoplanetary disc may determine the final structure of a planetary system emerging from such a disc. We concentrate our attention on the dynamical interactions between disc and planets…

Earth and Planetary Astrophysics · Physics 2015-05-28 E. Podlewska-Gaca , E. Szuszkiewicz

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

Pairs of extrasolar giant planets in a mean motion commensurability are common with 2:1 resonance occurring most frequently. Disc-planet interaction provides a mechanism for their origin. However, the time scale on which this could operate…

Earth and Planetary Astrophysics · Physics 2016-07-05 Q. André , J. C. B. Papaloizou

The differential migration of two planets due to planet-disk interaction can result in capture into the 2:1 eccentricity-type mean-motion resonances. Both the sequence of 2:1 eccentricity resonances that the system is driven through by…

Earth and Planetary Astrophysics · Physics 2015-05-13 Man Hoi Lee , Edward W. Thommes

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

Many multi-planet systems have been discovered in recent years. Some of them are in mean-motion resonances (MMR). Planet formation theory was successful in explaining the formation of 2:1, 3:1 and other low resonances as a result of…

Earth and Planetary Astrophysics · Physics 2014-11-20 Hanno Rein , John C. B. Papaloizou

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

We investigate the evolution of two-planet systems embedded in a protoplanetary disc, which are composed of a Jupiter-mass planet plus another body located further out in the disc. We consider outermost planets with masses ranging from 10…

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

We investigate resonant capture of small bodies by planets that migrate inwards, using analytic arguments and three-body integrations. If the orbits of the planet and the small body are initially circular and coplanar, the small body is…

Astrophysics · Physics 2009-10-31 Qingjuan Yu , Scott Tremaine

We investigate the evolution of a system of two super-Earths with masses < 4 Earth masses embedded in a turbulent protoplanetary disk. The aim is to examine whether or not resonant trapping can occur and be maintained in presence of…

Earth and Planetary Astrophysics · Physics 2015-05-27 A. Pierens , C. Baruteau , F. Hersant

The statistical results of transiting planets show that there are two peaks around 1.5 and 2.0 in the distribution of orbital period ratios. A large number of planet pairs are found near the exact location of mean motion resonances (MMRs).…

Earth and Planetary Astrophysics · Physics 2021-01-27 Su Wang , D. N. C. Lin , Xiaochen Zheng , Jianghui Ji
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