Corpus ID: 5956954

Off to infinity in finite time

@article{Saari1995OffTI,
  title={Off to infinity in finite time},
  author={D. Saari and Zhihong Xia},
  journal={Notices of the American Mathematical Society},
  year={1995},
  volume={42}
}
W ithout collisions could the Newtonian n-body problem of point masses eject a particle to infinity in finite time? This intriguing century-old concern, which has motivated several interesting and deep mathematical conclusions, was recently resolved by Xia ([X1, 2]) in his Ph.D. dissertation; he proved that three-dimensional examples exist for all n ≥ 5. Later, Gerver [G] asserted that a similar behavior occurs with the planar 3n body problem but with an unknown and very large n value. Even the… Expand

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