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Regions of nonexistence of invariant tori for spin-orbit models
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Celletti, Alessandra and MacKay, Robert S. (2007) Regions of nonexistence of invariant tori for spin-orbit models. Chaos, Vol.17 (No.4). Article: 043119. doi:10.1063/1.2811880 ISSN 1054-1500.
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Official URL: http://dx.doi.org/10.1063/1.2811880
Abstract
The spin-orbit problem in celestial mechanics describes the motion of an oblate satellite moving on a Keplerian orbit around a primary body. We apply the conjugate points criterion for the nonexistence of rotational invariant tori. We treat both the conservative case and a case including a dissipative effect modeling a tidal torque generated by internal nonrigidity. As a by-product of the conjugate points criterion we obtain a global view of the dynamics, thanks to the introduction of a tangent orbit indicator, which allows us to discern the dynamical character of the motion. (c) 2007 American Institute of Physics.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Chaos | ||||
Publisher: | American Insitute of Physics | ||||
ISSN: | 1054-1500 | ||||
Official Date: | December 2007 | ||||
Dates: |
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Volume: | Vol.17 | ||||
Number: | No.4 | ||||
Number of Pages: | 12 | ||||
Page Range: | Article: 043119 | ||||
DOI: | 10.1063/1.2811880 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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