Mathematics – Probability
Scientific paper
Feb 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jgr....91.1921t&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 91, Feb. 10, 1986, p. 1921-1926.
Mathematics
Probability
165
Asteroids, Fractals, Fragmentation, Geology, Meteorites, Mass Distribution, Probability Theory
Scientific paper
The use of renormalization group techniques on fragmentation problems is examined. The equations which represent fractals and the size-frequency distributions of fragments are presented. Method for calculating the size distributions of asteriods and meteorites are described; the frequency-mass distribution for these interplanetary objects are due to fragmentation. The application of two renormalization group models to fragmentation is analyzed. It is observed that the models yield a fractal behavior for fragmentation; however, different values for the fractal dimension are produced . It is concluded that fragmentation is a scale invariant process and that the fractal dimension is a measure of the fragility of the fragmented material.
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