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.

    The generalized Sundman transformation for propagation of high-eccentricity elliptical orbits

    Thumbnail
    View/Open
    Slides from talk (253.7Kb)
    No. of downloads: 2258

    Paper in proceedings (1.064Mb)
    No. of downloads: 1582

    Date
    2002-01
    Author
    Berry, Matthew M.
    Healy, Liam M.
    Citation
    in Alfriend, Neta, Luu, Hilton Walker, eds., Spaceflight Mechanics 2002, vol. 112 of Advances in the Astronautical Sciences, pp. 127-146
    Metadata
    Show full item record
    Abstract
    A generalized Sundman transformation dt = cr^n ds for exponent n >= 1 may be used to accelerate the numerical computation of high-eccentricity orbits, by transforming time t to a new independent variable s. Once transformed, the integration in uniform steps of s effectively gives analytic step variation in t with larger time steps at apogee than at perigee, making errors at each point roughly comparable. In this paper, we develop techniques for assessing accuracy of s-integration in the presence of perturbations, and analyze the effectiveness of regularizing the transformed equations. A computational speed comparison is provided.
    Notes
    See also dissertation of Matt Berry at http://scholar.lib.vt.edu/theses/available/etd-04282004-071227/
    URI
    http://hdl.handle.net/1903/3013
    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