Under-actuated Controllability for Spacecraft Rendezvous
| dc.contributor.author | Rogers, Andrew | en |
| dc.contributor.author | Woolsey, Craig A. | en |
| dc.contributor.author | McGwier, Robert W. | en |
| dc.contributor.department | Virginia Center for Autonomous Systems | en |
| dc.date.accessioned | 2018-07-19T16:54:26Z | en |
| dc.date.available | 2018-07-19T16:54:26Z | en |
| dc.date.issued | 2014-06-27 | en |
| dc.description.abstract | In 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.sponsorship | Hume Center for National Security and Technology. | en |
| dc.identifier.uri | http://hdl.handle.net/10919/84202 | en |
| dc.language.iso | en_US | en |
| dc.publisher | Virginia Tech | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.title | Under-actuated Controllability for Spacecraft Rendezvous | en |
| dc.title.alternative | VaCAS-2014-01 | en |
| dc.type | Technical report | en |
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