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On the validity of the double integrator approximation in deep space formation flying

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dc.contributor.author Kang, B. H. en_US
dc.contributor.author Hadaegh, F. Y.
dc.contributor.author Scharf, D. P.
dc.date.accessioned 2004-11-09T23:06:35Z
dc.date.available 2004-11-09T23:06:35Z
dc.date.issued 2002-10-28 en_US
dc.identifier.citation International Symposium on Formation Flying Missions and Technologies en_US
dc.identifier.citation Toulouse, France en_US
dc.identifier.clearanceno 02-2494 en_US
dc.identifier.uri http://hdl.handle.net/2014/37196
dc.description.abstract Free-flying models are commonly used f o r path planning and open loop control design (i. e., guidance design) and translational feedback control design (i. e., control design) for deep space precision formation flying. The free flying model, essentially a double integrator, results from discarding small terms in the relative spacecraft equations of motion. While the magnitude of these discarded terms may be small, one must show that their dynamic effects are small as compared to the precision performance requirements. We do so by deriving a theoretical method for bounding the difference between the solution of a nonlinear truth model of the relative translational spacecraft dynamics and a Simplified linear time-invariant model. Presently, the method incorporates feedforward and static output feedback control. The method is applied to a Terrestrial Planet Finder- based example. Using only feedforward control (guidance) the free-flying model and a Hill- Clohessy- Wiltshire Equations-based model are shown to be accurate to 1 c m for up to 4 and 30 hours, respectively. Also shown is that the simplest free-flying model may not be sufficient for low-gain feedback control design-closed-loop tracking errors can be as large as 8 meters. en_US
dc.format.extent 3417563 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.subject.other formation flying free flying model double integrator guidance en_US
dc.title On the validity of the double integrator approximation in deep space formation flying en_US


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