Optimal Rendezvous Trajectories of a Controlled Spacecraft and a Tumbling Object
Abstract
This paper formulates and solves the problem of minimum-time and minimum-energy optimal trajectories of
rendezvous of a powered chaser and a passive tumbling target, in a circular orbit. Both translational and rotational
dynamics are considered. In particular, ending conditions are imposed of matching the positions and velocities of two
points of interest onboard the vehicles. A collision-avoidance condition is imposed as well. The optimal control
problems are analytically formulated through the use of the Pontryagin minimum principle. The problems are then
solved numerically, by using a direct collocation method based on the Gauss pseudospectral approach. Finally, the
obtained solutions are verified through the minimum principle, solved by a shooting method. The simulation results
show that the pseudospectral solver provides solutions very close to the optimal ones, except in the case of presence of
singular arcs when it may not provide a feasible solution. The computational time needed by the pseudospectral
solver is a small fraction of the one needed by the indirect approach, but it is still considerably too large to allow for its
use in real-time onboard guidance.
Description
The article of record as published may be located at http://dx.doi.org/10.2514/1.47645
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
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