Computer Science – Numerical Analysis
Scientific paper
Jun 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987em%26p...38..149s&link_type=abstract
Earth, Moon, and Planets (ISSN 0167-9295), vol. 38, June 1987, p. 149-181. Research supported by the Emil Aaltonen Foundation an
Computer Science
Numerical Analysis
17
Collisions, Gravitational Effects, Particle Motion, Rotating Disks, Saturn Rings, Spin Dynamics, Equations Of Motion, Friction, Kinetic Energy, Numerical Analysis, Particle Size Distribution, Velocity Distribution
Scientific paper
Hämeen-Anttila's (1984) analytical treatment of self-gravitating collisional particle disks is extended to include the particle spin. The equations derived for the coupled evolution of random velocities and spins indicate that friction and surface irregularity typically reduce the local velocity dispersion. Friction, and especially irregularity, also transfer significant amounts of random kinetic energy, Ekin, to rotational energy, Erot. The equilibrium ratio Erot/Ekin = 2β(14-5β) if the particles are spherical, and 2(1+α)/7 if they are irregular but frictionless, α and β being the coefficients of restitution and friction. Applications to the dynamics of Saturn's rings suggest that the inclusion of rotation is able to reduce the geometrical thickness of the layer of centimeter-sized particles to about one half, at most. Large particles are less affected.
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