2007/07/23 by Martina Queck, M. Queck, Alexander V. Krivov +5 · 12 citations
Physics and Astronomy · #Amplitude #Asteroid #Asteroid belt #Astro and Planetary Science #Astronomy #Astrophysics #Astrophysics and Star Formation Studies #Atomic physics #Celestial mechanics #Eccentricity (behavior) #Geometry #Libration (molecule) #Optics #Physics #Planet #Planetesimal #Resonance (particle physics) #Saturn #Solar System #Stars #Stellar, planetary, and galactic studies #astro-ph
paper · pdf · doi:10.1007/s10569-007-9095-4
published in Celestial Mechanics and Dynamical Astronomy 99(3), 169-196 (Springer Science+Business Media) · 31 pages, 11 figures (some of them heavily compressed to fit into arxiv-maximum filesize), accepted for publication at "Celestial Mechanics and Dynamical Astronomy"
arxiv created 2007/07/23 · openalex publication_date 2007/10/08 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a belt of small bodies around a star, captured in one of the external or 1:1 mean-motion resonances with a massive perturber. The objects in the belt collide with each other. Combining methods of celestial mechanics and statistical physics, we calculate mean collisional velocities and collisional rates, averaged over the belt. The results are compared to collisional velocities and rates in a similar, but non-resonant belt, as predicted by the particle-in-a-box method. It is found that the effect of the resonant lock on the velocities is rather small, while on the rates more substantial. The collisional rates between objects in an external resonance are by about a factor of two higher than those in a similar belt of objects not locked in a resonance. For Trojans under the same conditions, the collisional rates may be enhanced by up to an order of magnitude. Our results imply, in particular, shorter collisional lifetimes of resonant Kuiper belt objects in the solar system and higher efficiency of dust production by resonant planetesimals in debris disks around other stars.