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dc.contributor.authorRogers, Andrewen
dc.contributor.authorWoolsey, Craig A.en
dc.contributor.authorMcGwier, Robert W.en
dc.date.accessioned2018-07-19T16:54:26Zen
dc.date.available2018-07-19T16:54:26Zen
dc.date.issued2014-06-27en
dc.identifier.urihttp://hdl.handle.net/10919/84202en
dc.description.abstractIn this report, we examine the controllability of a particular form of the equations of motion for spacecraft formation flying. These equations, the Tschauner-Hempel equations, rescale the formation flying equations to a domain in which the true anomaly is the independent variable. Using this form, we are able to compute an explicit, closed-form Gramian matrix for the period of one full orbit at arbitrary eccentricity. We do this for two cases: 1) the case in which there are three inputs to the system as well as 2) the restricted case where authority only exists in the in-track and cross-track directions. This Gramian is invertible and as a result the system is controllable for both cases. Since the transformation between the time-domain, linear equations of motion and the Tschauner-Hempel equations is bijective, we conclude that the linear equations of motion are also controllable.en
dc.description.sponsorshipHume Center for National Security and Technology.en
dc.language.isoen_USen
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleUnder-actuated Controllability for Spacecraft Rendezvousen
dc.title.alternativeVaCAS-2014-01en
dc.typeTechnical reporten
dc.contributor.departmentVirginia Center for Autonomous Systemsen


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