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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

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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
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Celestial Mechanic & Dynamical Astronomy
Publisher: Springer
ISSN: 0923-2958
Official Date: April 2006
Dates:
DateEvent
April 2006Published
13 June 2006Available
20 February 2006Accepted
3 November 2005Submitted
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

Data sourced from Thomson Reuters' Web of Knowledge

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