Mathematics – Probability
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006dps....38.4218a&link_type=abstract
American Astronomical Society, DPS meeting #38, #42.18; Bulletin of the American Astronomical Society, Vol. 38, p.1299
Mathematics
Probability
Scientific paper
The influence of particle aggregation on particle ensembles in tidal environments such as planetary rings is generally quantified by the Roche limit. A collision model for binary adhesive, viscoelastic particles yields a size and velocity dependent coefficient of normal restitution as well as a critical impact speed. The latter demarcates restitution from aggregation and assumes a power-law roughly inversely proportional to the square root of the effective mass for particles larger then decimeters in size. Smaller grains show aggregation even for impact speeds of m/s. Accounting for collisional aggregation, three-body orbit simulations were used to obtain the mutual capture probability as a function of particle size as well as orbit location. Contrary to an expected general enhanced likelihood of capture, the possibility of collisional aggregation based on surface adhesion paints a far more complex picture. In accordance with analytical estimates on aggregate stability, mutual capture of two same-sized smaller grains is generally possible as close as the Saturn C ring and clearly a function of actual grain size. The accumulation of regolith layers is possible all throughout the ring system since smaller grains easily stick to larger ones. Rubble pile formation is likely and their destruction and constant rebuilding may be responsible for the transient features observed in the F ring structure.
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