Rotation rate and velocity dispersion of planetary ring particles with size distribution. I. Formulation and analytic calculation

Details Rotation rate and velocity dispersion of planetary ring particles with size distribution. I. Formulation and analytic calculation Rotation rate and velocity dispersion of planetary ring particles with size distribution. I. Formulation and analytic calculation

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006icar..183..373o&link_type=abstract

Icarus, Volume 183, Issue 2, p. 373-383.

Physics

3

Scientific paper

We derive an equation for the evolution of rotational energy of Keplerian particles in a dilute disk due to mutual collisions. Three-dimensional Keplerian motion of particles is taken into account precisely, on the basis of Hill's approximation. The Rayleigh distribution of particles' orbital eccentricities and inclinations, and the Gaussian distribution of their rotation rates are also taken into account. Performing appropriate variable transformation, we show that the equation can be expressed with two terms. The first term, which we call collisional stirring term, represents energy exchange between rotation and random motion via collisions. The second term, which we call rotational friction term, tends to equalize the mean rotational energy of particles with different sizes. The equation can describe the evolution of rotational energy of Keplerian particles with an arbitrary size distribution. We analytically evaluate the rates of stirring and friction for the random kinetic energy and rotational energy due to inelastic collisions, for non-gravitating particles in a dilute disk. Using these results, we discuss equilibrium states in a disk of spinning, non-gravitating Keplerian particles.

Affiliated with

Also associated with

No associations

Rating

Rotation rate and velocity dispersion of planetary ring particles with size distribution. I. Formulation and analytic calculation 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 Rotation rate and velocity dispersion of planetary ring particles with size distribution. I. Formulation and analytic calculation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rotation rate and velocity dispersion of planetary ring particles with size distribution. I. Formulation and analytic calculation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1626021