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Application of dynamical systems theory to a very low energy transfer

Ross, S. D. and Koon, W. S. and Lo, M. W. and Marsden, J. E. (2004) Application of dynamical systems theory to a very low energy transfer. In: AAS/AIAA Spaceflight Mechanics Meeting 2004. Advances in the Astronautical Sciences. No.119. American Astronautical Society , San Diego, pp. 2991-3003. ISBN 978-0-87703-515-2.

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We use lobe dynamics in the restricted three-body problem to design orbits with prescribed itineraries with respect to the resonance regions within a Hill’s region. The application we envision is the design of a low energy trajectory to orbit three of Jupiter’s moons using the patched three-body approximation (P3BA). We introduce the “switching region,” the P3BA analogue to the “sphere of influence.” Numerical results are given for the problem of finding the fastest trajectory from an initial region of phase space (escape orbits from moon A) to a target region (orbits captured by moon B) using small controls.

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Additional Information:© 2004 by S. D. Ross, W. S. Koon, M. W. Lo, and J. E. Marsden. Permission to publish granted to The American Astronautical Society. This work was carried out in part at the Jet Propulsion Laboratory and California Institute of Technology under a contract with the National Aeronautics and Space Administration. In addition, the work was partially supported by the Caltech President’s Fund.
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Caltech President’s FundUNSPECIFIED
Series Name:Advances in the Astronautical Sciences
Issue or Number:119
Record Number:CaltechAUTHORS:20101005-100555629
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20297
Deposited By: Tony Diaz
Deposited On:17 Nov 2010 00:25
Last Modified:03 Oct 2019 02:08

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