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The Effect of Massive Trans-Neptunian Objects in the Long-term Evolution and Leaking Rates of Neptune's 3:2 and 2:1 Mean Motion Resonances

Muñoz-Gutiérrez, Marco A. et al. (2025)

Published
Mar 1, 2025
Journal
arXiv e-prints
DOI
10.48550/arXiv.2503.03900

At a Glance

Pluto drives significant erosion of both Neptune's 3:2 and, surprisingly, the distant 2:1 mean-motion resonance populations.

Summary

This study uses 4 Gyr N-body simulations to quantify how Neptune's resonant Kuiper belt populations (Plutinos and Twotinos) leak over time, finding the decay follows an exponential with a stable-population offset — characteristic of a stochastic process. The key surprise is that Pluto, while expectedly dominant for the 3:2 resonance, also strongly destabilizes the 2:1 resonance despite not residing there, possibly through a mutual 4:3 commensurability. This means Pluto must be included as a perturber in modern outer Solar System simulations, and previous estimates of resonance erosion rates (and thus Pluto's surface age from impact flux) need revision upward.

Method Snapshot

numerical integration (rebound, mercurius) over 4 Gyr

Background

mean-motion resonances

AI Abstract

The current populations trapped in Neptune's main mean motion resonances in the Kuiper belt, Plutinos in the 3:2 and Twotinos in the 2:1, contain some of the best-characterized minor objects in the Solar System, given their dynamical importance. In particular, Twotinos may hide evidence of Neptune's early migration. However, these populations vary in time, declining at a rate that has not been previously clearly established. In this work, we use numerical simulations to study the long-term evolution of the Plutino and Twotino populations. We use two data sources: the most up-to-date observations and the theoretical debiased model of the Kuiper belt known as L7. In addition to studying the giant planets' effect on these populations over 4 Gyr, we analyze the additional impact produced by the ten most massive trans-Neptunian objects (TNOs) trapped in these resonances, as well as the effect of Pluto on the 2:1 population. We find that the decay rate in each resonance can be modeled as a stochastic process well described by an exponential decay with an offset determined by an underlying long-term stable population. The most massive TNOs, particularly Pluto, influence this decay rate significantly, as expected for the 3:2 resonance. Remarkably, Pluto also strongly influences the 2:1 resonance's evolution.

Interesting research on how Pluto and other objects can destabilize orbits (an erosion effect).

ES