Mathematics – Probability
Scientific paper
Sep 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999dps....31.5508o&link_type=abstract
American Astronomical Society, DPS meeting #31, #55.08
Mathematics
Probability
Scientific paper
Gravitational accretion of ring particles is characterized by impact velocity, coefficient of restitution, and a parameter r_p/r_H, the ratio of the sum of the radii of two colliding particles to their mutual Hill radius. Ohtsuki (1993, Icarus 106, 228) performed orbital integrations including collisions and gravitational encounters and found that the probability of accretion dropped rapidly for r_p/r_H > 0.7, because the particles overflow their mutual Hill sphere. Assuming random impact orientation, Canup and Esposito (1995, Icarus 113, 331) obtained a simple expression of capture criteria which can approximately reproduce the above numerical results. However, Ohtsuki (1993) investigated accretion probability in the Roche zone only for a limited range of parameters (several values of r_p/r_H in the case of particles on circular orbits, and two different values of r_p/r_H in the case with particles' relative random velocity equal to their escape velocity). To better understand dynamical evolution of planetary rings in the Roche zone, we examine accretion probability of colliding particles by three-body orbital integrations for a much wider range of parameters. Preliminary results with e=2i (e and i are orbital eccentricity and inclination of particles) show that the accretion probability for r_p/r_H=0.5 - 0.8 is as low as 0.2-0.5 when the random velocity is as large as the escape velocity, even when the restitution coefficient in normal direction is as small as 0.1. Thus, more than 50% of colliding particles fail to accrete when their random velocity is as large as their escape velocity, unless collisions are much more dissipative.
No associations
LandOfFree
Accretion Rates of Ring Particles in the Roche Zone does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Accretion Rates of Ring Particles in the Roche Zone, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Accretion Rates of Ring Particles in the Roche Zone will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1557513