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Optimization of Spacecraft Trajectories: A Method Combining Invariant Manifold Techniques and Discrete Mechanics and Optimal Control

Moore, Ashley and Ober-Blöbaumy, Sina and Marsden, Jerrold E. (2009) Optimization of Spacecraft Trajectories: A Method Combining Invariant Manifold Techniques and Discrete Mechanics and Optimal Control. In: Spaceflight Mechanics 2009. Advances in the Astronautical Sciences . Vol.134. No.part I. American Astronautical Society , San Diego, pp. 2387-2406. ISBN 978-0-87703-554-1 .

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A mission design technique that uses invariant manifold techniques together with the optimal control algorithm DMOC produces locally optimal, low ΔV trajectories. Previously, invariant manifolds of the planar circular restricted three body problem (PCR3BP) have been used to design trajectories with relatively small ΔV . Using local optimal control methods, specifically DMOC, it is possible to reduce the ΔV even further. This method is tested on a trajectory which begins in Earth orbit and ends in ballistic capture at the Moon. DMOC produces locally optimal trajectories with much smaller total ΔV applied in a distributed way along the trajectory. Additionally, DMOC allows for variable flight times, leading to smaller ΔV necessary for lunar orbit insertion. Results from different Earth to Moon missions are presented in table form to show how the DMOC results fit in with actual missions and different trajectory types. The ΔV of the DMOC results are, on average, 23%-25% better than the ΔV of trajectories produced using a Hohmann transfer.

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Additional Information:© 2009 Published for the American Astronautical Society by Univelt. The authors would like to acknowledge Dr. Shane Ross for his help with the Shoot the Moon problem and invariant manifolds, as well as Dr. Marin Kobilarov, Stefano Campagnola, and Evan Gawlik for many useful discussions. Also, many thanks to Dr. Gregory Whiffen for his help with JPL’s design tools. This research was partly supported by a National Defense Science and Engineering Graduate (NDSEG) Fellowship and the AFOSR grant FA9550-08-1-0173.
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National Defense Science and Engineering Graduate (NDSEG) FellowshipUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)FA9550-08-1-0173
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20298
Deposited By: Tony Diaz
Deposited On:15 Nov 2010 20:26
Last Modified:26 Dec 2012 12:30

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