The kozai resonance in the outer solar system and the dynamics of long-period comets
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If dominant, the Kozai-Lidov resonance can lead to clustering among the arguments of perihelion, such that ω librates about 90 and 270 deg for well-separated orbits, or alternatively about 0 and 180 deg for orbits close to the perturber.
“If dominant, this resonance can lead to clustering among the arguments of perihelion (as first discussed in the context of the distant Kuiper belt by Trujillo and Sheppard 2014), such that ! librates about 90 and 270 deg for well-separated orbits, or alternatively about 0 and 180 deg for orbits close to the perturber (Thomas and Morbidelli, 1996).”
From The planet nine hypothesis (2019) · cites this paper as Thomas and Morbidelli, 1996
Cites
Secular perturbations of asteroids with high inclination and eccentricity
Kozai, Y. (1962) · The Astronomical Journal · doi:10.1086/108790 · Cited by 2,588 · see citing works
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Evidence for a Distant Giant Planet in the Solar System
Batygin, K., & Brown, M. E. (2016) · The Astronomical Journal · doi:10.3847/0004-6256/151/2/22 · Cited by 432 · see citing works
Evidence for an Extended Scattered Disk
Gladman, B., Holman, M., Grav, T., Kavelaars, J., Nicholson, P., Aksnes, K., & Petit, J.-M. (2002) · Icarus · doi:10.1006/icar.2002.6860 · Cited by 194 · see citing works
“This scenario could be responsible for the apparent lack of objects on nearly circular orbits outside the 2:1 resonance (see Jewitt et al. 1998, Allen et al. 2000, and Gladman et al. 2001 for discussion) and the lack of detection of the so-called ‘Kuiper Wall’ (Trujillo 2000).”
BackgroundMorbidelli, A., & Levison, H. F. (2004) · The Astronomical Journal · doi:10.1086/424617 · Cited by 193 · see citing works
“ts) and a massive disk situated on the planets’ orbital plane can be analytically computed with a trivial adaptation of the approach usually followed to compute the effects of the Kozai resonance (see Thomas and Morbidelli, 1996; chapter 8 of Morbidelli, 2002). The motions of the eccentricity and of the argument of per…”
MethodSelf-citationBatygin, K., Adams, F. C., Brown, M. E., & Becker, J. C. (2019) · Physics Reports · doi:10.1016/j.physrep.2019.01.009 · Cited by 181 · see citing works
“…among the arguments of perihelion (as first discussed in the context of the distant Kuiper belt by Trujillo and Sheppard 2014), such that ω librates about 90 and 270 deg for well-separated orbits, or alternatively about 0 and 180 deg for orbits close to the perturber (Thomas and Morbidelli, 1996).”
BackgroundInfluentialGeneration of Low-inclination, Neptune-crossing Trans-Neptunian Objects by Planet Nine
Batygin, K., Morbidelli, A., Brown, M. E., & Nesvorný, D. (2024) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ad3cd2 · Cited by 11 · see citing works
Self-citation
- Authors
- Thomas, F., & Morbidelli, A.
- Affiliations
- Observatoire de la Côte d’Azur (FR)
- Venue
- Celestial Mechanics & Dynamical Astronomy
- Published
- 1996
- Volume
- 64
- Issue
- 3
- Pages
- 209-229
- ISSN
- 0923-2958 (ISSN-L)
- 1572-9478
- OpenAlex
- W2049287736
- Cited by
- 117
- References
- 1
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 1 · 2023: 2 · 2022: 3 · 2021: 7 · 2020: 3 · 2019: 4 · 2018: 7 · 2017: 8 · 2016: 10 · 2015: 4 · 2014: 3 · 2013: 4 · 2012: 6
- FWCI
- 5.39
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Celestial Mechanics and Dynamical Astronomy (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astro and Planetary Science
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
- Physical Sciences › Engineering › Aerospace Engineering › Spacecraft Dynamics and Control
- Keywords
- Kozai resonance, long-period comets, Kuiper belt, secular orbital evolution, outer solar system dynamics
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