Collisional velocities and rates in resonant planetesimal belts

摘要: We consider a belt of small bodies (planetesimals, asteroids, dust particles) around star, captured in one the external or 1:1 mean-motion resonances with massive perturber (protoplanet, planet). The objects collide each other. Combining methods celestial mechanics and statistical physics, we calculate mean collisional velocities rates, averaged over belt. results are compared to rates similar, but non-resonant belt, as predicted by particle-in-a-box method. It is found that effect resonant lock on rather small, while more substantial. At low moderate eccentricities libration amplitudes tens degrees, which typical many astrophysical applications, between an resonance about factor two higher than those similar not locked resonance. For Trojans under same conditions, may be enhanced up order magnitude. increase decreasing amplitude argument, depend eccentricity distribution objects, vary from another. Our imply, particular, shorter lifetimes Kuiper solar system efficiency production planetesimals debris disks other stars.