Remarks on quadratic Hamiltonians in spaceflight mechanics

Bernard BONNARD, Jean-Baptiste CAILLAU, Romain Dujol

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


    A particular family of Hamiltonian functions is considered. Such functions are quadratic in the moment variables and arise in spaceflight mechanics when the averaged system of energy minimizing trajectories of the Kepler equation is computed. An important issue of perturbation theory and averaging is to provide integrable approximations of nonlinear systems. It turns out that such integrability properties hold here.
    Original languageEnglish
    Title of host publicationLagrangian and Hamiltonian Methods For Nonlinear Control 2006
    Subtitle of host publicationProceedings from the 3rd IFAC Workshop, Nagoya, Japan, July 2006
    EditorsFrancesco BULLO, Kenji FUJIMOTO
    PublisherSpringer Verlag
    Number of pages9
    Publication statusUnpublished - 2007


    • Controlled Kepler equation
    • averaging
    • quadratic Hamiltonians
    • Riemannian problems


    Dive into the research topics of 'Remarks on quadratic Hamiltonians in spaceflight mechanics'. Together they form a unique fingerprint.

    Cite this