The asymptotic behavior of solutions to the repulsive $n$-body problem
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2017
- DOI:
- 10.48550/arXiv.1707.03626
- arXiv:
- arXiv:1707.03626
- Bibcode:
- 2017arXiv170703626R
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- 70F10;
- 34C11