Can Neptune’s Distant Mean Motion Resonances Constrain Undiscovered Planets in the Solar System? Lessons from a Case Study of the 9:1 Resonance

Recent observational surveys of the outer solar system provide evidence that Neptune's distant n :1 mean motion resonances may harbor relatively large reservoirs of trans-Neptunian objects (TNOs). In particular, the discovery of two securely classified 9:1 resonators, 2015 KE _172 and 2007 TC _...

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Main Authors: Matthew W. Porter, David W. Gerdes, Kevin J. Napier, Hsing Wen Lin, Fred C. Adams
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:The Planetary Science Journal
Subjects:
Online Access:https://doi.org/10.3847/PSJ/ad2201
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author Matthew W. Porter
David W. Gerdes
Kevin J. Napier
Hsing Wen Lin
Fred C. Adams
author_facet Matthew W. Porter
David W. Gerdes
Kevin J. Napier
Hsing Wen Lin
Fred C. Adams
author_sort Matthew W. Porter
collection DOAJ
description Recent observational surveys of the outer solar system provide evidence that Neptune's distant n :1 mean motion resonances may harbor relatively large reservoirs of trans-Neptunian objects (TNOs). In particular, the discovery of two securely classified 9:1 resonators, 2015 KE _172 and 2007 TC _434 , by the Outer Solar System Origins Survey is consistent with a population of order 10 ^4 such objects in the 9:1 resonance with absolute magnitude H _r < 8.66. This work investigates whether the long-term stability of such populations in Neptune’s n :1 resonances can be used to constrain the existence of distant 5–10 M _⊕ planets orbiting at hundreds of au. The existence of such a planet has been proposed to explain a reported clustering in the orbits of highly eccentric “extreme” trans-Neptunian objects (or eTNOs), although this hypothesis remains controversial. We engage in a focused computational case study of the 9:1 resonance, generating synthetic populations and integrating them for 1 Gyr in the presence of 81 different test planets with various masses, perihelion distances, eccentricities, and inclinations. While none of the tested planets are incompatible with the existence of 9:1 resonators, our integrations shed light on the character of the interaction between such planets and nearby n :1 resonances, and we use this knowledge to construct a simple heuristic method for determining whether or not a given planet could destabilize a given resonant population. We apply this method to the currently estimated properties of Planet 9, and find that a large primordial population in the 15:1 resonance (or beyond), if discovered in the future, could potentially constrain the existence of this planet.
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spelling doaj.art-6b3e4e355bb24c94878d104113e01a8e2024-03-07T14:58:29ZengIOP PublishingThe Planetary Science Journal2632-33382024-01-01536110.3847/PSJ/ad2201Can Neptune’s Distant Mean Motion Resonances Constrain Undiscovered Planets in the Solar System? Lessons from a Case Study of the 9:1 ResonanceMatthew W. Porter0https://orcid.org/0000-0002-9989-4782David W. Gerdes1https://orcid.org/0000-0001-6942-2736Kevin J. Napier2https://orcid.org/0000-0003-4827-5049Hsing Wen Lin3https://orcid.org/0000-0001-7737-6784Fred C. Adams4https://orcid.org/0000-0002-8167-1767Department of Physics, University of Michigan Ann Arbor , MI 48109, USA; Department of Astronomy, University of Florida , Gainesville, FL 32611, USADepartment of Physics, University of Michigan Ann Arbor , MI 48109, USA; Department of Astronomy, University of Michigan Ann Arbor , MI 48109, USADepartment of Physics, University of Michigan Ann Arbor , MI 48109, USADepartment of Physics, University of Michigan Ann Arbor , MI 48109, USADepartment of Physics, University of Michigan Ann Arbor , MI 48109, USA; Department of Astronomy, University of Michigan Ann Arbor , MI 48109, USARecent observational surveys of the outer solar system provide evidence that Neptune's distant n :1 mean motion resonances may harbor relatively large reservoirs of trans-Neptunian objects (TNOs). In particular, the discovery of two securely classified 9:1 resonators, 2015 KE _172 and 2007 TC _434 , by the Outer Solar System Origins Survey is consistent with a population of order 10 ^4 such objects in the 9:1 resonance with absolute magnitude H _r < 8.66. This work investigates whether the long-term stability of such populations in Neptune’s n :1 resonances can be used to constrain the existence of distant 5–10 M _⊕ planets orbiting at hundreds of au. The existence of such a planet has been proposed to explain a reported clustering in the orbits of highly eccentric “extreme” trans-Neptunian objects (or eTNOs), although this hypothesis remains controversial. We engage in a focused computational case study of the 9:1 resonance, generating synthetic populations and integrating them for 1 Gyr in the presence of 81 different test planets with various masses, perihelion distances, eccentricities, and inclinations. While none of the tested planets are incompatible with the existence of 9:1 resonators, our integrations shed light on the character of the interaction between such planets and nearby n :1 resonances, and we use this knowledge to construct a simple heuristic method for determining whether or not a given planet could destabilize a given resonant population. We apply this method to the currently estimated properties of Planet 9, and find that a large primordial population in the 15:1 resonance (or beyond), if discovered in the future, could potentially constrain the existence of this planet.https://doi.org/10.3847/PSJ/ad2201Solar systemSmall Solar System bodiesOrbitsOrbital resonancesSolar system planetsTrans-Neptunian objects
spellingShingle Matthew W. Porter
David W. Gerdes
Kevin J. Napier
Hsing Wen Lin
Fred C. Adams
Can Neptune’s Distant Mean Motion Resonances Constrain Undiscovered Planets in the Solar System? Lessons from a Case Study of the 9:1 Resonance
The Planetary Science Journal
Solar system
Small Solar System bodies
Orbits
Orbital resonances
Solar system planets
Trans-Neptunian objects
title Can Neptune’s Distant Mean Motion Resonances Constrain Undiscovered Planets in the Solar System? Lessons from a Case Study of the 9:1 Resonance
title_full Can Neptune’s Distant Mean Motion Resonances Constrain Undiscovered Planets in the Solar System? Lessons from a Case Study of the 9:1 Resonance
title_fullStr Can Neptune’s Distant Mean Motion Resonances Constrain Undiscovered Planets in the Solar System? Lessons from a Case Study of the 9:1 Resonance
title_full_unstemmed Can Neptune’s Distant Mean Motion Resonances Constrain Undiscovered Planets in the Solar System? Lessons from a Case Study of the 9:1 Resonance
title_short Can Neptune’s Distant Mean Motion Resonances Constrain Undiscovered Planets in the Solar System? Lessons from a Case Study of the 9:1 Resonance
title_sort can neptune s distant mean motion resonances constrain undiscovered planets in the solar system lessons from a case study of the 9 1 resonance
topic Solar system
Small Solar System bodies
Orbits
Orbital resonances
Solar system planets
Trans-Neptunian objects
url https://doi.org/10.3847/PSJ/ad2201
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