Search space pruning and global optimisation of Multiple Gravity Assist spacecraft trajectories
Izzo, D., Becerra, V. M., Myatt, D. R., Nasuto, S. J. and Bishop, J. M. (2007) Search space pruning and global optimisation of Multiple Gravity Assist spacecraft trajectories. Journal of Global Optimization, 38 (2). pp. 283-296. ISSN 0925-5001
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To link to this article DOI: 10.1007/s10898-006-9106-0
We introduce and describe the Multiple Gravity Assist problem, a global optimisation problem that is of great interest in the design of spacecraft and their trajectories. We discuss its formalization and we show, in one particular problem instance, the performance of selected state of the art heuristic global optimisation algorithms. A deterministic search space pruning algorithm is then developed and its polynomial time and space complexity derived. The algorithm is shown to achieve search space reductions of greater than six orders of magnitude, thus reducing significantly the complexity of the subsequent optimisation.