P. I. O. Brasil et al. (2014)
Shows how detached TNOs can form near Neptune’s 2:5 and 1:3 resonances via resonance-driven orbital evolution.
This paper explains how “detached” trans-Neptunian objects near Neptune’s 2:5 and 1:3 mean-motion resonances can form without external perturbers. The key novelty is identifying a Lidov–Kozai-driven resonant state—dubbed the “hibernating mode”—where the resonant angle’s libration becomes very large, leaving the object at low eccentricity (high perihelion) and high inclination. If Neptune undergoes residual outward migration while an object is in this hibernating mode, the object can drop out of resonance and become permanently fossilized on a detached orbit. The authors quantify expected perihelion-distance outcomes (moderate vs high-q fossils) and estimate the total mass that could be deposited as fossilized detached objects near these resonances.
Semi-analytic phase-space mapping of Lidov–Kozai dynamics inside mean-motion resonances, validated with long-term N-body integrations with/without imposed Neptune migration.
Celestial mechanics of mean-motion resonances and Lidov–Kozai (secular) dynamics in the trans-Neptunian region.
An interesting paper that shows how von Zeipel-Lidov–Kozai inside MMRs 2N-5 and 1N-3 plus residual migration can fossilize detached TNOs.
— ES