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Nonplanar second species periodic and chaotic trajectories for the circular restricted three-body problem
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Bolotin, S and MacKay, Robert S. (2006) Nonplanar second species periodic and chaotic trajectories for the circular restricted three-body problem. Celestial Mechanic & Dynamical Astronomy, Volume 94 (Number 4). pp. 433-449. doi:10.1007/s10569-006-9006-0
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Official URL: http://dx.doi.org/10.1007/s10569-006-9006-0
Abstract
For the circular restricted three-body problem of celestial mechanics with small secondary mass, we prove the existence of uniformly hyperbolic invariant sets of non-planar periodic and chaotic almost collision orbits. Poincare conjectured existence of periodic ones and gave them the name "second species solutions". We obtain large subshifts of finite type containing solutions of this type.
| Item Type: | Journal Article | ||||||||||
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| Subjects: | Q Science > QB Astronomy Q Science > QA Mathematics |
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| Divisions: | Faculty of Science > Mathematics | ||||||||||
| Journal or Publication Title: | Celestial Mechanic & Dynamical Astronomy | ||||||||||
| Publisher: | Springer | ||||||||||
| ISSN: | 0923-2958 | ||||||||||
| Official Date: | April 2006 | ||||||||||
| Dates: |
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| Volume: | Volume 94 | ||||||||||
| Number: | Number 4 | ||||||||||
| Number of Pages: | 17 | ||||||||||
| Page Range: | pp. 433-449 | ||||||||||
| DOI: | 10.1007/s10569-006-9006-0 | ||||||||||
| Status: | Peer Reviewed | ||||||||||
| Publication Status: | Published | ||||||||||
| Access rights to Published version: | Restricted or Subscription Access |
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