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Optimal Satellite Trajectories: A Source of Difficult Nonsmooth Optimization Problems

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Nondifferentiable Optimization: Motivations and Applications

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 255))

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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.

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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)

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  • 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.

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  • Pontryagin, L. S., Boltyanski, V. G., and Gambrelidze, R. W. (1962). The THeory of Optimal Processes. Interscience Press.

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Author information

Authors and Affiliations

  1. Numerical Optimization Centre, Hatfield Polytechnic, College Lane, Hatfield, UK

    L. C. W. Dixon, S. E. Hersom & Z. Maany

Authors
  1. L. C. W. Dixon
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  2. S. E. Hersom
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  3. Z. Maany
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Editor information

Editors and Affiliations

  1. International Institute for Applied Systems Analysis, Schlossplatz 1, A-2361, Laxenburg, Austria

    Vladimir F. Demyanov

  2. Applied Mathematical Department, Leningrad University, Leningrad, USSR

    Vladimir F. Demyanov

  3. Institut für Statistik und Mathematische Wirtschaftstheorie, Universität Karlsruhe, Postfach 6380, D-7500, Karlsruhe 1, Germany

    Diethard Pallaschke

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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

  • eBook Packages: Springer Book Archive

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