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Following the general numerical analysis of Melita and Woolfson (1996), I showed in a recent paper that a restricted, planar, circular planetary system consisting of Sun, Jupiter and Saturn would be captured in a near (2:1) resonance when…

Astrophysics · Physics 2016-08-30 Nader Haghighipour

We present a series of dynamical maps for fictitious 3-planets systems in initially circular coplanar orbits. These maps have unveiled a rich resonant structure involving two or three planets, as well as indicating possible migration routes…

Earth and Planetary Astrophysics · Physics 2018-03-28 C. Charalambous , J. G. Martí , C. Beaugé , X. S. Ramos

We investigate the condition for capture into first-order mean motion resonances using numerical simulations with a wide range of various parameters. In particular, we focus on deriving the critical migration timescale for capture into the…

Earth and Planetary Astrophysics · Physics 2015-06-16 Masahiro Ogihara , Hiroshi Kobayashi

The orbits of the confirmed exoplanets from all multiple systems known to date are investigated. Observational data from 1890 objects, of which 1176 are found in multiplanetary systems, are compiled and analyzed. Mean motion resonances and…

Earth and Planetary Astrophysics · Physics 2015-02-26 Marian C. Ghilea

The theory of Type~I migration has been widely used in many studies. Transiting multi-planet systems offer us the opportunity to examine the consistency between observation and theory, especially for those systems harbouring planets in Mean…

Earth and Planetary Astrophysics · Physics 2023-04-19 Shuo Huang , Chris Ormel

[Abridged] The occurrence rate of observed sub-Neptunes has a break at 0.1 au, which is often attributed to a migration trap at the inner rim of protoplanetary disks where a positive co-rotation torque prevents inward migration. We argue…

Earth and Planetary Astrophysics · Physics 2022-10-12 Ondřej Chrenko , Raúl O. Chametla , David Nesvorný , Mario Flock

We investigate the survivability of Trojan-type companions of Neptune during primordial radial migration of the giant planets Jupiter, Saturn, Uranus, and Neptune. Loss of Neptune Trojans during planetary migration is not a random diffusion…

Astrophysics · Physics 2009-11-07 Steve Kortenkamp , Renu Malhotra , Tatiana Michtchenko

We present results examining the fate of the Trojan clouds produced in our previous work. We find that the stability of Neptunian Trojans seems to be strongly correlated to their initial post-migration orbital elements, with those objects…

Earth and Planetary Astrophysics · Physics 2011-12-16 Patryk Sofia Lykawka , Jonathan Horner , Barrie W. Jones , Tadashi Mukai

We examine the eccentricity evolution of a system of two planets locked in a mean motion resonance, in which the outer planet loses energy and angular momentum. The sink of energy and angular momentum could be either a gas or planetesimal…

Astrophysics · Physics 2009-11-06 N. Murray , M. Paskowitz , M. Holman

There is an intriguing and growing population of Neptune-sized planets with stellar obliquities near $\sim90^{\circ}$. One previously proposed formation pathway is a disk-driven resonance, which can take place at the end stages of planet…

Earth and Planetary Astrophysics · Physics 2024-10-04 Emma Louden , Sarah Millholland

TOI-216 is a pair of close-in planets with orbits deep in the 2:1 mean motion resonance. The inner, Neptune-class planet (TOI-216b) is near 0.12 au (orbital period $P_{\rm b} \simeq 17$ d) and has a substantial orbital eccentricity ($e_{\rm…

Earth and Planetary Astrophysics · Physics 2022-02-02 David Nesvorny , Ondrej Chrenko , Mario Flock

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

An intriguing trend among \kepler's multi-planet systems is an overabundance of planet pairs with period ratios just wide of a mean motion resonance (MMR) and a dearth of systems just narrow of them. Traditional planet formation models are…

Earth and Planetary Astrophysics · Physics 2015-06-19 Sourav Chatterjee , Eric B. Ford

This paper continues previous work on the effects of turbulence on mean motion resonances in extrasolar planetary systems. Turbulence is expected to arise in the disks that form planets, and these fluctuations act to compromise resonant…

Astrophysics · Physics 2014-11-18 Daniel Lecoanet , Fred C. Adams , Anthony M. Bloch

Secular resonances in exoplanet systems occur when two or more planets have commensurabilities in the precession rates of their orbital elements, causing an exchange of angular momentum between them. The stellar gravitational quadrupole…

Earth and Planetary Astrophysics · Physics 2025-05-12 Thea Faridani , Smadar Naoz , Gongjie Li , Malena Rice , Jack Lubin

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

It is now accepted that the Solar system's youth was a dynamic and chaotic time. The giant planets migrated significant distances to reach their current locations, and evidence of that migration's influence on the Solar system abounds. That…

Earth and Planetary Astrophysics · Physics 2013-02-12 Jonathan Horner , F. Elliott Koch , Patryk Sofia Lykawka

The Trans-Neptunian Objects (TNOs) may preserve evidence of planet building in their orbital and size-distributions. While all populations show steep size-distributions for large objects, recently relative deficit of Neptunian Trojans and…

Earth and Planetary Astrophysics · Physics 2019-01-30 Mike Alexandersen , Brett Gladman , J. J. Kavelaars , Jean-Marc Petit , Stephen Gwyn , Cory Shankman

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

It often seems as though papers bearing titles in the form of a question end with ambiguous answers. Here the situation is different: the outer Kuiper belt does have a definite future, although one of uncertain duration. Simulations provide…

Earth and Planetary Astrophysics · Physics 2012-07-20 Fred Franklin , Paul Soper