Some insights from total collapse

Sergio B. Volchan

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arXiv · 0803.2258

Some insights from total collapse

Sergio B. Volchan

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Abstract

We discuss the Sundman-Weierstrass theorem of total collapse in its historical context. This remarkable and relatively simple result, a type of stability criterion, is at the crossroads of some interesting developments in the gravitation Newtonian N-body problem. We use it as motivation to explore the connections to such important concepts as integrability, singularities and tyipicality in order to gain some insight on the transition from a predominantly quantitative to a novel qualitative approach to dynamical problems that took place at the end of the 19th century.

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Sergio B. Volchan. 2008-03-14. Some insights from total collapse. https://arxiv.org/abs/0803.2258

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