Mean-motion resonances in the Solar system
A curated collection of essential papers on mean-motion resonances in the asteroid belt, TNO, and beyond.
Jack Wisdom (1983)
Links chaotic orbital dynamics to the formation of the 3:1 Kirkwood gap in the asteroid belt.
This paper argues that chaotic behavior of asteroid orbits is responsible for the depletion of bodies at the 3:1 mean-motion resonance with Jupiter (the 3/1 Kirkwood gap). It introduces a dynamical explanation for how resonance-driven chaos can remove asteroids from that region, clarifying a long-standing feature of the asteroid belt. The result has broad implications for understanding orbital stability and the sculpting of small-body populations by planetary perturbations.
dynamical analysis/modeling of asteroid orbital behavior
Hamiltonian mechanics
Explanation why they are no asteroids in the Kirkwood gap 3/1 (MMR 3J-1).
— ES