Optimal impulsive time-fixed orbital rendezvous and interception with path constraintsMinimum-fuel, impulsive, time-fixed solutions are obtained for the problem of orbital rendezvous and interception with interior path constraints. Transfers between coplanar circular orbits in an inverse-square gravitational field are considered, subject to a circular path constraint representing a minimum or maximum permissible orbital radius. Primer vector theory is extended to incorporate path constraints. The optimal number of impulses, their times and positions, and the presence of initial or final coasting arcs are determined. The existence of constraint boundary arcs and boundary points is investigated as well as the optimality of a class of singular arc solutions. To illustrate the complexities introduced by path constraints, an analysis is made of optimal rendezvous in field-free space subject to a minimum radius constraint.
Document ID
19900065996
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Taur, D.-R. (Chung Shan Institute of Science and Technology Lung-Tan, Republic of China, United States)
Prussing, J. E. (Illinois, University Urbana, United States)
Coverstone-Carroll, V. (Chung Shan Inst. of Science and Technology Lungtan, Taiwan)