Skip to content
University of Maryland LibrariesDigital Repository at the University of Maryland
    • Login
    View Item 
    •   DRUM
    • A. James Clark School of Engineering
    • Aerospace Engineering
    • Aerospace Engineering Research Works
    • View Item
    •   DRUM
    • A. James Clark School of Engineering
    • Aerospace Engineering
    • Aerospace Engineering Research Works
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Orbit propagation with Lie transfer maps in the perturbed Kepler problem

    Thumbnail
    View/Open
    2003-healy-cm.pdf (215.8Kb)
    No. of downloads: 1415

    Date
    2003-02
    Author
    Healy, Liam M.
    Citation
    Celestial Mechanics and Dynamical Astronomy, Volume 85, Number 2, pp. 175-207, 2003.
    Metadata
    Show full item record
    Abstract
    The Lie transfer map method may be applied to orbit propagation problems in celestial mechanics. This method, described in another paper, is a perturbation method applicable to Hamiltonian systems. In this paper, it is used to calculate orbits for zonal perturbations to the Kepler (two-body) problem, in both expansion in the eccentricity and closed form. In contrast with a normal form method like that of Deprit, the Lie transformations here are used to effect a propagation of phase space in time, and not to transform one Hamiltonian into another.
    URI
    http://hdl.handle.net/1903/3022
    Collections
    • Aerospace Engineering Research Works

    DRUM is brought to you by the University of Maryland Libraries
    University of Maryland, College Park, MD 20742-7011 (301)314-1328.
    Please send us your comments.
    Web Accessibility
     

     

    Browse

    All of DRUMCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister
    Pages
    About DRUMAbout Download Statistics

    DRUM is brought to you by the University of Maryland Libraries
    University of Maryland, College Park, MD 20742-7011 (301)314-1328.
    Please send us your comments.
    Web Accessibility