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Cited by 69Stellar, planetary, and galactic studiesAstro and Planetary ScienceSpacecraft Dynamics and Control

The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.

Dynamic portrait of the planetary 2/1 mean-motion resonance – I. Systems with a more massive outer planet

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Michtchenko, T. A., Beaugé, C., Ferraz-Mello, S.·2008·Monthly Notices of the Royal Astronomical Society
DOI 10.1111/j.1365-2966.2008.13278.x
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Abstract

We analyse the global structure of the phase space of the planar planetary 2/1 mean-motion resonance in cases where the outer planet is more massive than its inner companion. Inside the resonant domain, we show the existence of two families of periodic orbits, one associated to the librational motion of resonant angle (σ-family) and the other related to the circulatory motion of the difference in longitudes of pericentre (Δϖ-family). The well-known apsidal corotation resonances (ACR) appear as intersections between both families. A complex web of secondary resonances is also detected for low eccentricities, whose strengths and positions are dependent on the individual masses and spatial scale of the system. The construction of dynamical maps for various values of the total angular momentum shows the evolution of the families of stable motion with the eccentricities, identifying possible configurations suitable for exoplanetary systems. For low–moderate eccentricities, several different stable modes exist outside the ACR. For larger eccentricities, however, all stable solutions are associated to oscillations around the stationary solutions. Finally, we present a possible link between these stable families and the process of resonance capture, identifying the most probable routes from the secular region to the resonant domain, and discussing how the final resonant configuration may be affected by the extension of the chaotic layer around the resonance region.

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Cites

Research works printed but not linked: 2

  1. S. Ferraz-Mello, T. A. Michtchenko, C. Beauge, B. A. Steves, A. J. Maciejewski, and M. Hendry , 2006 , in, eds, Chaotic Worlds: From Order to Disorder in GravitationalN-body Systems . NATO Science Series II, Vol. 227 . Springer, Berlin, p. 255
  2. Michtchenko T. A., 1995, A&A, 303, 945

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Metadata

Authors
Michtchenko, T. A., Beaugé, C., & Ferraz-Mello, S.
Affiliations
  • Universidade de São Paulo (BR)
  • Universidad Nacional de Córdoba (AR)
Corresponding author
Michtchenko, T. A.
ORCID
Venue
Monthly Notices of the Royal Astronomical Society
Publisher
Oxford University Press (OUP)
Published
2008-06
Volume
387
Issue
2
Pages
747-758
ISSN
  • 0035-8711 (ISSN-L)
  • 1365-2966
DOI
10.1111/j.1365-2966.2008.13278.x
OpenAlex
W4235342530
Cited by
69
References
28
Citations by year
2025: 1 · 2024: 8 · 2023: 3 · 2022: 3 · 2021: 3 · 2020: 3 · 2019: 7 · 2018: 2 · 2017: 2 · 2016: 3 · 2015: 2 · 2014: 3 · 2013: 6 · 2012: 6
FWCI
3.30
Type
journal article
Language
en
Open access
Locations
  • Monthly Notices of the Royal Astronomical Society (publishedVersion)
  • Scientific Electronic Library Online (São Paulo Research Foundation, Latin American and Caribbean Center on Health Sciences Information, Conselho Nacional de Desenvolvimento Científico e Tecnológico) (publishedVersion)
Funders
  • Fundação de Amparo à Pesquisa do Estado de São Paulo
  • Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
  • Consejo Nacional de Investigaciones Científicas y Técnicas
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico
  • Universidade de São Paulo
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
  • Physical Sciences › Earth and Planetary Sciences › Space and Planetary Science › Astro and Planetary Science
  • Physical Sciences › Engineering › Aerospace Engineering › Spacecraft Dynamics and Control
Keywords
2:1 resonance, planetary resonance, phase space structure, periodic orbits, librational motion, secondary resonance, dynamical maps, total angular momentum, resonance capture, chaotic layer, exoplanetary systems, orbital eccentricity

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