Time-Optimal Reorientation of a Spacecraft using a Direct Optimization Method Based on Inverse Dynamics
Boyarko, George A.
Yakimenko, Oleg A.
MetadataShow full item record
This paper proposes a rapid attitude trajectory generation method for satellite reorientation that satisfies the spatial and temporal constraints imposed by the problem of docking with a tumbling object. 12The problem is first formulated and solved using known academic software readily used for generating optimal guidance trajectories off-line. Then, the problem is reformulated using a polynomial structure that lends itself to satisfying special mathematical constraints imposed by using a unit quaternion for orientation description. The speed profile of the maneuver is varied in order to arrive at a quasi-optimal solution that is both feasible and exactly matches the endpoint conditions specified in the problem. The reduction in the number of varied parameters due to the predetermined structure of the trajectory leads to a faster computational speed as well as having a trajectory that satisfies the end constraints at each iteration. The paper ends with a discussion of solutions obtained for several cases.
Showing items related by title, author, creator and subject.
Agrawal, B.N. (1993);This paper presents a boundary-layer model to predict dynamic characteristics of liquid motion in partially filled tanks of a spinning spacecraft. The solution is obtained by solving three boundary-value problems: an ...
On partitioning an arbitrarily given set of elements of a finite Boolean algebra into the minimum number of sets of compatible elements Colwell, Samuel C., III (Monterey, California. Naval Postgraduate School, 1964);During the past several years at the United States Naval Postgraduate School there has been much interest in obtaining an efficient method for making a time schedule for classes. A mathematical model for a simplified ...
Schwartz, Garry S. (Monterey, California. Naval Postgraduate School, 1993-03);This thesis addresses two problems in aligning the recruiting structure for Navy Recruiting Command. The first problem involves two decisions affecting recruiting stations within a single recruiting district: which stations ...