Mean-motion resonances in the Solar system
A curated collection of essential papers on mean-motion resonances in the asteroid belt, TNO, and beyond.
F. Cachucho et al. (2010)
Shows how Chirikov diffusion operates inside the 5J−2S−2 three-body mean-motion resonance affecting asteroid orbital transport.
The study focuses on chaotic orbital transport (Chirikov diffusion) within the specific three-body mean-motion resonance (5, −2, −2), relevant for understanding long-term asteroid mobility. By analyzing diffusion in this resonance, it links resonance-driven chaos to slow changes in asteroid orbital elements over long timescales. The results help clarify how three-body resonances can contribute to structure and evolution in the asteroid belt beyond the better-known two-body resonances.
The authors analyze resonance dynamics using a Chirikov-diffusion framework applied to the three-body mean-motion resonance (5, −2, −2).
Celestial mechanics of mean-motion resonances and basic dynamical-systems ideas about chaos and diffusion.