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Spatial limit cycles around the moon in the TBP
Aram, A
Spatial limit cycles around the moon in the TBP
Aram, A ; Sharif University of Technology | 2010
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- Type of Document: Article
- DOI: 10.1016/j.actaastro.2010.02.019
- Publisher: 2010
- Abstract:
- Stable and unstable limit cycles are important orbits in chaotic systems. So many works are done to find and to quench chaos by stabilizing them. In this paper a new family of limit cycle orbits around the Moon is introduced as a result of restricted three-body problem. The family is completely spatial and can be used as an out-of-plane velocity magnifier. Lyapunov exponent in the Floquet theory has also been checked and stability of the orbits has been measured
- Keywords:
- Space station ; Floquet theory ; Limit cycle ; Lyapunov exponent ; Out-of-plane velocity ; Restricted three-body problem ; Unstable limit cycles ; Chaotic systems ; Delta sigma modulation ; Force measurement ; Lyapunov methods ; Orbits ; Space stations ; Differential equations
- Source: Acta Astronautica ; Volume 67, Issue 1-2 , 2010 , Pages 46-52 ; 00945765 (ISSN)
- URL: http://www.sciencedirect.com/science/article/pii/S0094576510000706?np=y&npKey=4a151d66d15975004f2d1bfe0c6a0e0dcb4a67917878dce247e00e0060a22404
