English

The asymptotic behavior of solutions to the repulsive $n$-body problem

Classical Analysis and ODEs 2017-07-13 v1

Abstract

The nn-body problem with a purely repulsive Coulomb interaction is considered. It is shown that for large times tt the distance between any two particles grows linearly in tt. The trajectory of each particle is asymptotically a straight line with a fixed velocity which is different for different particles.

Keywords

Cite

@article{arxiv.1707.03626,
  title  = {The asymptotic behavior of solutions to the repulsive $n$-body problem},
  author = {Gerhard Rein},
  journal= {arXiv preprint arXiv:1707.03626},
  year   = {2017}
}