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On the Statistical Distribution of Massive Impactors

✍ Scribed by Scott Tremaine; Luke Dones

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
357 KB
Volume
106
Category
Article
ISSN
0019-1035

No coin nor oath required. For personal study only.

✦ Synopsis

If there is no preferred mass scale in the distribution of small bodies or planetesimals in the Solar System, the mass distribution of impactors striking a target will be a power law, (N(>m) \propto m^{-\gamma}). For (\gamma \leq 1) most of the mass is accreted in a few giant impacts. We apply this simple model to cratering and derive probability distributions for quantities such as the largest impactor mass relative to the total mass of impactors and the (n)th largest impactor relative to the largest. We also use our model to study the distribution of giant impacts that is likely to occur in planet formation. 1993 Academic Press, Inc.

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