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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Improbability of collisions in Newtonian gravitational systems


Author: Donald Gene Saari
Journal: Trans. Amer. Math. Soc. 162 (1971), 267-271
MSC: Primary 70.34
DOI: https://doi.org/10.1090/S0002-9947-1971-0295648-8
Erratum: Trans. Amer. Math. Soc. 168 (1972), 521.
MathSciNet review: 0295648
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Abstract: It is shown that the set of initial conditions leading to a collision in finite time has measure zero.


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DOI: https://doi.org/10.1090/S0002-9947-1971-0295648-8
Keywords: n-body problem, Newtonian gravitational systems, measure preserving, collisions
Article copyright: © Copyright 1971 American Mathematical Society