Mathematics – Probability
Scientific paper
Jun 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992jgr....9710227c&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 97, no. E6, June 25, 1992, p. 10,227-10,241.
Mathematics
Probability
32
Neptune Satellites, Planetary Evolution, Uranus Rings, Uranus Satellites, Markov Chains, Monte Carlo Method, Probability Distribution Functions, Stochastic Processes
Scientific paper
The origin of the rings of Uranus and Neptune is considered by performing two types of stochastic simulations of the collisional history of small moons: Monte Carlo simulations in which only the largest surviving fragments from each disruption is followed, and a Markov chain approach which makes it possible to follow the size distribution from each disruption to arbitrarily small sizes. Results indicate that the population of small satellites around Uranus and Neptune have evolved through catastrophic fragmentation since the end of planet and satellite formation 3 to 4 billion years ago.
Colwell Joshua E.
Esposito W. L. W. L.
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