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Blow-Up, Asymptotics, and Improbability of Collision Singularities in the n-Body Problem
We study finite-time singularities in $n$-body systems with pair potentials that are homogeneous of degree $-α$, where $0<α<2$, that are not necessarily attractive and with bounded time-dependent external forces. We develop a systematic method to analyse a colliding subsystem in the presence of simu
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