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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Collisions are of first category


Author: Donald G. Saari
Journal: Proc. Amer. Math. Soc. 47 (1975), 442-445
MSC: Primary 70.58
DOI: https://doi.org/10.1090/S0002-9939-1975-0366147-9
MathSciNet review: 0366147
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Abstract: It is shown that the set of initial conditions leading to collisions in the $ n$-body problem of Newtonian mechanics is of (Baire) first category.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0366147-9
Keywords: Celestial mechanics, $ N$-body problem, singularities
Article copyright: © Copyright 1975 American Mathematical Society