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Low-thrust orbit transfers using candidate Lyapunov functions with a mechanism for coasting.

Show simple item record Petropoulos, Anastassios E. 2006-11-28T19:47:12Z 2006-11-28T19:47:12Z 2004-08-19
dc.identifier.citation AIAA/AAS Astrodynamics Specialst Conference and Exhibit, Providence, Rhode Island, August 16-19, 2004. en
dc.identifier.clearanceno 04-2583
dc.description.abstract We consider low-thrust orbit transfers around a central body, where specified changes are sought in orbit elements except true anomaly. The desired changes in the remaining five elements can be arbitrarily large. Candidate Lyapunov functions are created based on analytic expressions for maximum rates of change of the orbit elements and the desired changes in the elements. These functions may be thought of as proximity quotients because they provide R measure of the proximity to the target orbit. The direction of thrust needed for steepest descent to the target orbit is also available analytically. The thrust is shutoff if the effectivity of the thrust at the current location on the osculating orbit is below some threshhold value. Thus, the equations of motion can be numerically integrated to obtain quickly and simply a transfer to the target orbit. A series of transfers can be easily computed to assess the trade-off between propellant mass and flight time. Preliminary comparisons to optimal solutions show that the method, while sub-optimal, performs well. en
dc.description.sponsorship NASA/JPL en
dc.format.extent 3376458 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US en
dc.publisher Pasadena, CA : Jet Propulsion Laboratory, National Aeronautics and Space Administration, 2004. en
dc.subject Candidate Lyapunoc functions en
dc.subject analytic expressions en
dc.title Low-thrust orbit transfers using candidate Lyapunov functions with a mechanism for coasting. en
dc.type Preprint en

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