Canonical transformations for space trajectory optimizationCanonical transformations are developed between the Cartesian coordinates, equinoctial elements, trajectory variables, and orbital elements for coplanar space trajectory optimization problems. The canonical transformations permit the state and adjoint or their solution, transversality conditions, the optimal control, and integrals of the motion, to be transformed between any of the common sets of coordinates for planar space trajectory optimization problems. Variations on the canonical transformations shown are straightforward to develop given the group properties of the canonical transformations.
Document ID
19920069455
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Haissig, Christine M. (NASA Lewis Research Center Cleveland, OH, United States)
Mease, Kenneth D. (Princeton University NJ, United States)
Vinh, Nguyen X. (Michigan, University Ann Arbor, United States)