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Secular Resonances in Mean Motion Commensurabilities: The 4/1, 3/1, 5/2, and 7/3 Cases

Michèle Moons & Alessandro Morbidelli (1995)

Published
Mar 1, 1995
Journal
Icarus · Vol. 114 · No. 1
DOI
10.1006/icar.1995.1041

At a GlanceAI

Maps how secular resonances interplay with major Jupiter mean-motion resonances (4/1, 3/1, 5/2, 7/3) in asteroid dynamics.

SummaryAI

The work examines how long-term (secular) resonances manifest inside and around strong mean-motion commensurabilities with Jupiter, focusing on the 4/1, 3/1, 5/2, and 7/3 cases. By treating secular effects within these specific mean-motion resonances, it clarifies why the dynamical structure of these regions cannot be explained by mean-motion dynamics alone. The results help interpret the fine structure and potential instability pathways associated with prominent main-belt resonant zones.

Method SnapshotAI

Analytical/dynamical modeling of secular resonances embedded in selected mean-motion commensurabilities.

BackgroundAI

Celestial mechanics of mean-motion and secular resonances in the asteroid belt.