Global Optimization of Interplanetary Transfers with Deep Space Maneuvers Using Differential Algebra

Pierluigi Lizia (), Roberto Armellin (), Francesco Topputo (), Franco Bernelli-Zazzera () and Martin Berz ()
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Pierluigi Lizia: Politecnico di Milano
Roberto Armellin: Politecnico di Milano
Francesco Topputo: Politecnico di Milano
Franco Bernelli-Zazzera: Politecnico di Milano
Martin Berz: Michigan State University

Chapter Chapter 8 in Modeling and Optimization in Space Engineering, 2012, pp 187-213 from Springer

Abstract: Abstract In 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.

Keywords: Global optimization; Multi-gravity assist transfer; Deep-space maneuver; Search space pruning; Differential algebra (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-4469-5_8

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