Abstract
In this paper we will show that optimal satellite trajectory problems can be posed as difficult nonsmooth optimisation problems. The aim is not to advocate solving satellite trajectory problems by using nonsmooth optimisation algorithms; they can be solved more simply by other means. The aim is simply to challenge the designers of nonsmooth optimisation codes to test them on these problems; which we believe will prove to be very difficult. We look forward to hearing the results of such tests.
Keywords
- Optimal Control Problem
- Nonsmooth Optimisation
- Adjoint Variable
- Satellite Trajectory
- Orbit Semi Major Axis
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
Dixon, L. C. W., Hersom, S. E., and Maaany, Z. Z. Loe Thrust Satellite Trajectory Optimisation. ( to appear in Mckee, S and Elliot, C, Industrial Numerical Analysis, Academic Press 1985)
Dixon, L. C. W. and Bartholomew-Biggs, M.C. (1981). Adjoint-Control Transformations for solving practical optimal control problems. In Optimal Control Applications and Methods, Vol. 2, pp365–381.
Pontryagin, L. S., Boltyanski, V. G., and Gambrelidze, R. W. (1962). The THeory of Optimal Processes. Interscience Press.
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© 1985 Springer-Verlag Berlin Heidelberg
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Dixon, L.C.W., Hersom, S.E., Maany, Z. (1985). Optimal Satellite Trajectories: A Source of Difficult Nonsmooth Optimization Problems. In: Demyanov, V.F., Pallaschke, D. (eds) Nondifferentiable Optimization: Motivations and Applications. Lecture Notes in Economics and Mathematical Systems, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12603-5_29
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DOI: https://doi.org/10.1007/978-3-662-12603-5_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15979-7
Online ISBN: 978-3-662-12603-5
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