A study of the high-inclination population in the Kuiper belt -- IV. High-order mean motion resonances in the classical region

Abstract

In our previous study of Neptune's 4:7 mean motion resonance (MMR), we discovered that its resonant angle can only librate within a specific eccentricity ($e$) versus inclination ($i$) region, determined by a theoretical limiting curve curve (Li et al. 2020). This ``permissible region'' is independent of time and encompasses the entire possible stable region. We now generalize this theory to investigate all high-order MMRs embedded in the main classical Kuiper belt (MCKB). We first consider the 2nd-order 3:5 MMR in the framework of planet migration and resonance capture, and have further validated our limiting curve theory for both captured and observed 3:5 resonators. It suggests that only the $(e,i)$ pairs inside the individual permissible regions should be chosen as initial conditions for studying the in-situ evolution of high-order resonators. With such a new setting, we proceed to explore the long-term stability (for 4 Gyr) of different resonant populations, and our simulations predict that: (1) the 3:5 and 4:7 resonators are comparable in number, and they could have inclinations up to $40^{\circ }$; (2) the populations of objects in the higher order 5:9, 6:11, 7:12 and 7:13 resonances is about 1/10 of the 3:5 (or 4:7) resonator population, and nearly all of them are found on the less inclined orbits with $i<10^{\circ }$; (3) for these high-order resonances, almost all resonators reside in their individual permissible regions. In summary, our results make predictions for the number and orbital distributions of potential resonant objects that will be discovered in the future throughout the MCKB.

arXiv comment17 pages, 8 figures, accepted for publication in MNRAS

References in corpus (33)

• THE ORIGIN OF PLUTO'S ORBIT: IMPLICATIONS FOR THE SOLAR SYSTEM BEYOND NEPTUNE
• Origin of the Structure of the Kuiper Belt during a Dynamical Instability in the Orbits of Uranus and Neptune
• The Canada-France Ecliptic Plane Survey - Full Data Release: The orbital structure of the Kuiper belt
• Oort Cloud and Scattered Disc formation during a late dynamical instability in the Solar System
• Neptune's Migration into a Stirred-Up Kuiper Belt: A Detailed Comparison of Simulations to Observations
• The Resonant Transneptunian Populations
• The Evidence for Slow Migration of Neptune from the Inclination Distribution of Kuiper Belt Objects
• OSSOS. VII. 800+ trans-Neptunian objects - the complete data release
• Neptune's Orbital Migration Was Grainy, Not Smooth
• The Phase Space Structure Near Neptune Resonances in the Kuiper Belt
• Tracking Neptune's Migration History through High-Perihelion Resonant Trans-Neptunian Objects
• OSSOS III - Resonant Trans-Neptunian Populations: Constraints from the first quarter of the Outer Solar System Origins Survey
• The Color Differences of Kuiper Belt Objects in Resonance with Neptune
• OSSOS: XIII. Fossilized Resonant Dropouts Tentatively Confirm Neptune's Migration was Grainy and Slow
• Three dimensional structure of mean motion resonances beyond Neptune
• Neptune's resonances in the Scattered Disk
• Strength, stability and three dimensional structure of mean motion resonances in the Solar System
• Mean motion resonances at high eccentricities: the 2:1 and the 3:2 interior resonances
• Neptune's 5:2 Resonance in the Kuiper Belt
• Dynamical Classification of Trans-Neptunian Objects Detected by the Dark Energy Survey
• Origin of the peculiar eccentricity distribution of the inner cold Kuiper belt
• Details of Resonant Structures Within a Nice Model Kuiper Belt: Predictions for High-Perihelion TNO Detections
• A study of the high-inclination population in the Kuiper belt -- 1. The Plutinos
• The Structure of the Distant Kuiper Belt in a Nice Model Scenario
• A study of the high-inclination population in the Kuiper belt - II. The Twotinos
• Resonance libration and width at arbitrary inclination
• Resonances in the asteroid and trans-Neptunian belts: a brief review
• Dynamical effects on the classical Kuiper Belt during the excited-Neptune model
• Machine learning prediction for mean motion resonance behaviour -- The planar case
• The Formation of the Cold Classical Kuiper Belt by a Short Range Transport Mechanism
• How the formation of Neptune shapes the Kuiper belt
• A study of the high-inclination population in the Kuiper belt -- III. The 4:7 mean motion resonance
• Multi-harmonic Hamiltonian models with applications to first-order resonances

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