Feasibility of a resonance-based planet nine search
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It has been proposed that mean-motion resonances (MMRs) between Planet Nine and distant objects of the scattered disk might inform the semimajor axis and instantaneous position of Planet Nine. Within the context of this hypothesis, the specific distribution of occupied MMRs largely determines the available constraints. Here we characterize the behavior of scattered Kuiper Belt objects arising in the presence of an eccentric Planet Nine (e 9 ∈ 0.1, 0.7), focusing on relative sizes of populations occupying particular commensurabilities. Highlighting the challenge of predicting the exact MMR of a given object, we find that the majority of resonant test particles have period ratios with Planet Nine other than those of the form P 9/P = N/1, N/2 . Taking into account the updated prior distribution of MMRs outlined in this work, we find that the close spacing of high-order resonances, as well as chaotic transport, preclude resonance-based Planet Nine constraints from current observational data.
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The tendency of long-period KBOs to stochastically skip between mean-motion commensurabilities essentially eliminates the promise of deriving P9's semi-major axis from the present-day orbital period distribution of observed KBOs.
“this tendency of long-period KBOs to stochastically skip between mean-motion commensurabilities essentially eliminates the promise of deriving P9's semi-major axis from the present-day orbital period distribution of observed KBOs (Bailey et al., 2018).”
From The planet nine hypothesis (2019) · cites this paper as Bailey et al., 2018
KBOs can smoothly enter and exit MMRs facilitated by Planet Nine without noticeably affecting the orbital clustering of the long-period objects.
“This inherent separation of the degrees of freedom further qualitatively explains how KBOs can smoothly enter and exit MMRs facilitated by Planet Nine without noticeably a ecting the orbital clustering of the longperiod objects (see Bailey et al. 2018 for further discussion).”
From The planet nine hypothesis (2019) · cites this paper as Bailey et al. 2018
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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 · cited 6× · see citing works
“It has already been established (Batygin & Brown 2016a; Brown & Batygin 2016) that Planet Nine’s orbit must be eccentric to produce the confinement of distant, eccentric Kuiper Belt objects.”
BackgroundInfluentialSelf-citationElementary derivation of the perturbation equations of celestial mechanics
Burns, J. A. (1976) · American Journal of Physics · doi:10.1119/1.10237 · Cited by 170 · see citing works
Observational constraints on the orbit and location of Planet Nine in the outer solar system
Brown, M. E., & Batygin, K. (2016) · The Astrophysical Journal Letters · doi:10.3847/2041-8205/824/2/l23 · Cited by 112 · cited 3× · see citing works
“If the implied semimajor axis lies in the range [200 au + 30mi/M⊕, 600 au + 20mi/M⊕] (derived based on Brown & Batygin (2016)), a Gaussian centered at the implied semimajor axis, with σ equal to the approximate resonance width, is added to the a9 distribution being constructed.”
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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.”
BackgroundInfluentialSelf-citationBrown, M. E., & Batygin, K. (2021) · The Astronomical Journal · doi:10.3847/1538-3881/ac2056 · Cited by 57 · see citing works
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- Authors
- Bailey, E., Brown, M. E., & Batygin, K.
- Affiliations
- California Institute of Technology (US)
- Corresponding author
- Bailey, Elizabeth
- Venue
- The Astronomical Journal
- Publisher
- American Astronomical Society
- Published
- 2018-07-27
- Volume
- 156
- Issue
- 2
- Pages
- 74
- ISSN
- 0004-6256 (ISSN-L)
- 1538-3881
- OpenAlex
- W2883749439
- Cited by
- 8
- References
- 3
- Citations by year
- 2021: 3 · 2020: 2 · 2019: 3
- FWCI
- 1.07
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- The Astronomical Journal (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- arXiv (Cornell University)
- Funders
- California Institute of Technology
- 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, mean motion resonance, scattered disk, Kuiper belt objects, orbital commensurability, period ratio, eccentric planets, chaotic transport, higher-order resonances, test particle simulation
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