The asymptotic behavior of solutions to the repulsive n-body problem
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🧮 math.CA
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bodydifferentparticlesproblemrepulsiveasymptoticasymptoticallybehavior
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The $n$-body problem with a purely repulsive Coulomb interaction is considered. It is shown that for large times $t$ the distance between any two particles grows linearly in $t$. The trajectory of each particle is asymptotically a straight line with a fixed velocity which is different for different particles.
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