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90 Bernd Dachwaldreference launch date, the constellation of Earth and Mercury is most similar to that of the optimalorbit transfer solution for a launch on 27 Mar 03. Therefore, InTrance was run five times,being allowed to choose the launch date from the interval [26 Mar 03, 31 Mar 03]. The maximumtransfer time was set again to T max = 600 days (with τ = 600). The small variation ofthe solutions shown in Fig. 2 (4 days) gives again evi<strong>de</strong>nce for a good convergence behavior.Taking 502 days to ren<strong>de</strong>zvous Mercury, the best InTrance-trajectory is now 163 days fasterthan the reference trajectory, the accuracy again being well better than required.4. Summary and ConclusionsWithin the work <strong>de</strong>scribed here, low-thrust trajectory optimization was attacked from theperspective of machine learning. A novel global method for spacecraft trajectory optimization,termed InTrance, was proposed. It fuses artificial neural networks and evolutionaryalgorithms into evolutionary neurocontrollers. The re-calculation of an exemplary Mercuryren<strong>de</strong>zvous mission with a solar sail revealed that a reference trajectory, which was generatedby a trajectory optimization expert using a local trajectory optimization method, is quite farfrom the global optimum. Using InTrance, the transfer time could be reduced consi<strong>de</strong>rably.InTrance runs without an initial guess and does not require the attendance of an expert inastrodynamics and optimal control theory. Being problem-in<strong>de</strong>pen<strong>de</strong>nt, its application fieldmay be exten<strong>de</strong>d to a variety of other optimal control problems.References[1] B. Dachwald. Minimum transfer times for nonperfectly reflecting solar sailcraft. Journal of Spacecraft andRockets, 41(4):693–695.[2] B. Dachwald. Optimal solar sail trajectories for missions to the outer solar system. Journal of Guidance,Control, and Dynamics. in press.[3] B. Dachwald. Optimization of interplanetary solar sailcraft trajectories using evolutionary neurocontrol.Journal of Guidance, Control, and Dynamics, 27(1):66–72.[4] B. Dachwald. Low-Thrust Trajectory Optimization and Interplanetary Mission Analysis Using Evolutionary Neurocontrol.Doctoral thesis, Universität <strong>de</strong>r Bun<strong>de</strong>swehr München; Fakultät für Luft- und Raumfahrttechnik,2004.[5] B. Dachwald. Optimization of very-low-thrust trajectories using evolutionary neurocontrol. Acta Astronautica,57(2-8):175–185, 2005.[6] B. Dachwald and W. Seboldt. Multiple near-earth asteroid ren<strong>de</strong>zvous and sample return using first generationsolar sailcraft. Acta Astronautica, 2005. in press.[7] D. C. Dracopoulos. Evolutionary Learning Algorithms for Neural Adaptive Control. Perspectives in NeuralComputing. Springer, Berlin, Hei<strong>de</strong>lberg, New York, 1997.[8] M. Leipold. Solar Sail Mission Design. Doctoral thesis, Lehrstuhl für Flugmechanik und Flugregelung; TechnischeUniversität München, 1999. DLR-FB-2000-22.[9] M. Leipold, W. Seboldt, S. Lingner, E. Borg, A. Herrmann, A. Pabsch, O. Wagner, and J. Brückner. Mercurysun-synchronous polar orbiter with a solar sail. Acta Astronautica, 39(1-4):143–151, 1996.[10] W. Seboldt and B. Dachwald. Solar sailcraft of the first generation: Technology <strong>de</strong>velopment. Bremen,Germany, September/October 2003. 54 th International Astronautical Congress. IAC-03-S.6.03.[11] R. S. Sutton and A. G. Barto. Reinforcement Learning. MIT Press, Cambridge, London, 1998.

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