Bailey, Elizabeth and Brown, Michael E. and Batygin, Konstantin (2018) Feasibility of a Resonance-based Planet Nine Search. Astronomical Journal, 156 (2). Art. No. 74. ISSN 1538-3881. doi:10.3847/1538-3881/aaccf4. https://resolver.caltech.edu/CaltechAUTHORS:20180808-140052997
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Abstract
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 . (N ∈ Z+)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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| Additional Information: | © 2018 The American Astronomical Society. Received 2018 January 19; revised 2018 June 9; accepted 2018 June 13; published 2018 July 27. We wish to thank Fred Adams and Sarah Millholland for useful discussions. In addition, we thank Caltech High Performance Computing for managing the Beowulf cluster Fram and providing technical assistance, as well as the anonymous reviewer, for a thorough and insightful review that has led to a substantial improvement of the manuscript. | |||||||||
| Group: | Astronomy Department | |||||||||
| Subject Keywords: | celestial mechanics – planetary systems | |||||||||
| Issue or Number: | 2 | |||||||||
| DOI: | 10.3847/1538-3881/aaccf4 | |||||||||
| Record Number: | CaltechAUTHORS:20180808-140052997 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180808-140052997 | |||||||||
| Official Citation: | Elizabeth Bailey et al 2018 AJ 156 74 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 88665 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 08 Aug 2018 21:12 | |||||||||
| Last Modified: | 16 Nov 2021 00:28 |
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