Averaging and optimal control of elliptic Keplerian orbits with low propulsion

Bernard BONNARD, Jean-Baptiste CAILLAU, Romain Dujol

    Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter


    This article deals with the optimal transfer of a satellite between Keplerian orbits using low propulsion and is based on preliminary results of (Geffroy, 1997) where the optimal trajectories are approximated using averaging techniques. The objective is to introduce the geometric framework and to make an analysis of the averaged optimal trajectories in the energy minimization problem, showing in particular the connection with Riemannian problems, with integrable geodesics.
    Original languageEnglish
    Title of host publicationInternational Journal of Tomography and Statistics
    Subtitle of host publicationSpecial Issue on: Control Applications of Optimisation - control and aeronautics, optimal control, control of partial differential equations
    EditorsDelfim TORRES, Emmanuel TRELAT
    PublisherIndian Society for Development and Environment Research
    Number of pages6
    Publication statusPublished - 2007


    • optimal control
    • Orbital transfer
    • averaging


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