Planetary Rings: Statistical Description of Fragmentation of Ring-agglomerates

Details Planetary Rings: Statistical Description of Fragmentation of Ring-agglomerates Planetary Rings: Statistical Description of Fragmentation of Ring-agglomerates

Sep 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009dps....41.2202s&link_type=abstract

American Astronomical Society, DPS meeting #41, #22.02

Astronomy and Astrophysics

Astronomy

Scientific paper

We study the fragmentation dynamics of a two-dimensional agglomerate, hold together by adhesive bonds, caused by an impacting projectile of given mass and impact speed/energy. The agglomerate is made of identical adhering spheres (constituents) forming a regular cubic lattice. A rather simple "random walk model" of a crack propagation has been studied numerically and analytically, where subsequent breaking of adhesive bonds (defining the crack path) is organized randomly and the breakage continues until the impact energy of the projectile is exhausted. A large number of repeated numerical breakage experiments have yielded a surprising agreement with egg-shell crushing experiments (Hermann et al., Physica A 371 (2006), 59) - i.e. the size distribution of the fragments obeys a power law, p(s) sa with a = -3/2. This distribution can theoretically described by a one-dimensional random walk model to mimick the propagation of the crack. With this prerequisite the fragment sizes can be mapped to the mean time of two distant cracks to meet (mean free passage time) in this way justifying the above distribution. These studies will serve as an input for a kinetic description (Spahn et al. 2004, Europhys. Lett. 67 (2004), 545) of a balance between coagulation and fragmentation to describe the "meso-scopic" dynamics of dense planetary rings.

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