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Application of local Lyapunov exponents to maneuver design and navigation in the three-body problemDynamical systems theory has recently been employed to design trajectories within the three-body problem for several missions. This research has applied one stability technique, the calculation of local Lyapunov exponents, to such trajectories. Local Lyapunov exponents give an indication of the effects that perturbations or maneuvers will have on trajectories over a specified time. A numerical comparison of local Lyapunov exponents was first made with the distance random perturbations traveled from a nominal trajectory, and the local Lyapunov exponents were found to correspond well with the perturbations that caused the greatest deviation from the nominal. This would allow them to be used as an indicator of the points where it would be important to reduce navigation uncertainties.
Document ID
20060046336
Acquisition Source
Jet Propulsion Laboratory
Document Type
Conference Paper
External Source(s)
Authors
Anderson, Rodney L.
Lo, Martin W.
Born, George H.
Date Acquired
August 23, 2013
Publication Date
August 3, 2003
Subject Category
Astrodynamics
Meeting Information
Meeting: AAS/AIAA Astrodynamics Specialist Conference
Location: Big Sky, MT
Country: United States
Start Date: August 3, 2003
End Date: August 7, 2003
Distribution Limits
Public
Copyright
Other
Keywords
dynamical systems theory
trajectories

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