Orbital clustering of distant Kuiper belt objects by hypothetical Planet 9. Secular or resonant?
Open accessAbstract
Context. Statistical analysis of the orbits of distant Kuiper belt objects (KBOs) has led to the suggestion that an additional planet should reside in the solar system. According to recent models, the secular action of this body should cause orbital alignment of the KBOs.
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The effects of Planet Nine are mainly secular, so the mean anomaly of Planet Nine does not affect the outcome.
“As the effects of Planet Nine are now understood to be mainly secular (Beust 2016), the position of Planet Nine within its orbit (the mean anomaly, M 9 ) does not affect the outcome, so it is unused.”
From The Orbit of Planet Nine (2021) · cites this paper as Beust 2016
Section 2 and Appendix A show that the non-resonant secular model averages over Planet Nine’s mean anomaly, so its orbital position does not enter that model. But Section 4 says it is difficult to determine whether secular or resonant dynamics dominates, and Section 3 explains that resonant dynamics cannot be averaged over both orbits independently. The paper therefore does not support treating Planet Nine’s mean anomaly as irrelevant to the outcome generally. (LLM, conf=0.88)
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Cites
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 · cited 1× · see citing works
“This issue was recently investigated into more details by Batygin & Brown (2016) (hereafter B16).”
BackgroundA Sedna-like body with a perihelion of 80 astronomical units
Trujillo, C. A., & Sheppard, S. S. (2014) · Nature · doi:10.1038/nature13156 · Cited by 303 · see citing works
Secular Resonances in Mean Motion Commensurabilities: The 2/1 and 3/2 Cases
Morbidelli, A., & Moons, M. (1993) · Icarus · doi:10.1006/icar.1993.1052 · Cited by 159 · see citing works
Secular Resonances in Mean Motion Commensurabilities: The 4/1, 3/1, 5/2, and 7/3 Cases
Moons, M., & Morbidelli, A. (1995) · Icarus · doi:10.1006/icar.1995.1041 · Cited by 144 · see citing works
Mean-Motion Resonances as a Source for Infalling Comets toward β Pictoris
Beust, H., & Morbidelli, A. (1996) · Icarus · doi:10.1006/icar.1996.0056 · Cited by 123 · see citing works
Self-citationA semi-numerical perturbation method for separable hamiltonian systems
Henrard, J. (1990) · Celestial Mechanics and Dynamical Astronomy · doi:10.1007/bf00048581 · Cited by 103 · see citing works
Laskar, J., & Boué, G. (2010) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201014496 · Cited by 102 · see citing works
de la Fuente Marcos, C., & de la Fuente Marcos, R. (2014) · Monthly Notices of the Royal Astronomical Society: Letters · doi:10.1093/mnrasl/slu084 · Cited by 82 · see citing works
Constraints on the location of a possible 9th planet derived from the<i>Cassini</i>data
Fienga, A., Laskar, J., Manche, H., & Gastineau, M. (2016) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201628227 · Cited by 76 · see citing works
An independent determination of Fomalhaut b’s orbit and the dynamical effects on the outer dust belt
Beust, H., Augereau, J. ‐., Bonsor, A., Graham, J. R., Kalas, P., Lebreton, J., Lagrange, A. ‐., Ertel, S., Faramaz, V., & Thébault, P. (2013) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201322229 · Cited by 66 · see citing works
Self-citationCosmologists in search of planet nine: The case for CMB experiments
Cowan, N. B., Holder, G., & Kaib, N. A. (2016) · The Astrophysical Journal Letters · doi:10.3847/2041-8205/822/1/l2 · Cited by 28 · see citing works
Flagged first, then by citations
Research works printed but not linked: 1
- [9]9. Malhotra, M., Volk, K., & Wang, X. 2016, ArXiv e-print [arXiv:1603.02196v2] · arXiv
Cited by
Sorted by citations
Batygin, 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
“For example, one class of calculations (Beust, 2016; Batygin and Morbidelli, 2017; Hadden et al., 2018; Bailey et al., 2018) employs a simplified model of the solar system, where the Keplerian motion of all four canonical giant planets is smoothed over.”
BackgroundNew Extreme Trans-Neptunian Objects: Toward a Super-Earth in the Outer Solar System
Sheppard, S. S., & Trujillo, C. (2016) · The Astronomical Journal · doi:10.3847/1538-3881/152/6/221 · Cited by 92 · see citing works
Brown, M. E., & Batygin, K. (2021) · The Astronomical Journal · doi:10.3847/1538-3881/ac2056 · Cited by 57 · see citing works
“As the effects of Planet Nine are now understood to be mainly secular (Beust 2016), the position of Planet Nine within its orbit (the mean anomaly, M9) does not affect the outcome, so it is unused.”
BackgroundConsequences of a Distant Massive Planet on the Large Semimajor Axis Trans-Neptunian Objects
Shankman, C., Kavelaars, J. J., Lawler, S. M., Gladman, B. J., & Bannister, M. T. (2017) · The Astronomical Journal · doi:10.3847/1538-3881/153/2/63 · Cited by 42 · see citing works
Generation 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
“The first is direct Runge-Lenz vector coupling, akin to that captured by Lagrange-Laplace secular theory but occurring at high eccentricity (Beust 2016).”
BackgroundMethod
- Authors
- Beust, H.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- Corresponding author
- Beust, H.
- ORCID
- Beust, H.
- Venue
- Astronomy & Astrophysics
- Publisher
- EDP Sciences
- Published
- 2016-05-12
- Volume
- 590
- Pages
- L2
- ISSN
- 0004-6361 (ISSN-L)
- 1432-0746
- OpenAlex
- W2366893103
- Cited by
- 41
- References
- 11
- Citations by year
- 2025: 1 · 2024: 3 · 2023: 3 · 2022: 2 · 2021: 5 · 2020: 6 · 2019: 4 · 2018: 4 · 2017: 8 · 2016: 5
- FWCI
- 3.35
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Astronomy and Astrophysics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion, other-oa)
- arXiv (Cornell University)
- 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 › Space Satellite Systems and Control
- Keywords
- Planet Nine, orbital clustering, orbital alignment, secular perturbations, orbital resonance, undiscovered planet, solar system dynamics
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