Global Optimization of Interplanetary Transfers with Deep Space Maneuvers Using Differential Algebra
AbstractIn this chapter, differential algebra is used to globally optimize multi-gravity assist interplanetary
trajectories with deep space maneuvers. A search space pruning procedure is adopted, and the
trajectory design is decomposed into a sequence of sub-problems. As far as differential algebra is
used, the objective function and the constraints are represented by Taylor series of the design
variables over boxes in which the search space is divided. Thanks to the polynomial representation of
the function and the constraints, a coarse grid can be used, and an efficient design space pruning is
performed. The manipulation of the polynomials eases the subsequent local optimization process, so
avoiding the use of stochastic optimizers. These aspects, along with the efficient management of the
list of boxes, make differential algebra a powerful tool to design multi-gravity assist transfers
including deep-space maneuvers.
P. Di Lizia, R. Armellin, F. Topputo, F. Bernelli-Zazzera, M. Berz,
Springer Optimization and Its Applications, 73 (2013) 187-213
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