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Nonplanar second species periodic and chaotic trajectories for the circular restricted three-body problem
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UNSPECIFIED. (2006) Nonplanar second species periodic and chaotic trajectories for the circular restricted three-body problem. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 94 (4). pp. 433-449. ISSN 0923-2958
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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 |
|---|---|
| Subjects: | Q Science > QB Astronomy Q Science > QA Mathematics |
| Journal or Publication Title: | CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY |
| Publisher: | SPRINGER |
| ISSN: | 0923-2958 |
| Date: | April 2006 |
| Volume: | 94 |
| Number: | 4 |
| Number of Pages: | 17 |
| Page Range: | pp. 433-449 |
| Identification Number: | 10.1007/s10569-006-9006-0 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/33384 |
Data sourced from Thomson Reuters' Web of Knowledge
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