Although the constant radial acceleration problem is known to be integrable and has received some recent attention in an orbital mechanics context, a closed form explicit solution relating the state variables to a time parameter has eluded all researchers so far. It is here shown how such a solution exists and is elegantly expressed in terms of the Weierstrass elliptic and related functions. Previously known facts can be derived from the new explicit solution and new insights are revealed.


    Zugriff

    Zugriff über TIB

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Explicit Solution to the Constant Radial Acceleration Problem


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    2015




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch



    Klassifikation :

    Lokalklassifikation TIB:    770/7040
    BKL:    55.54 Flugführung



    Explicit Solution to the Constant Radial Acceleration Problem

    Izzo, Dario / Biscani, Francesco | AIAA | 2015


    New Look to the Constant Radial Acceleration Problem

    Quarta, Alessandro A. / Mengali, Giovanni | AIAA | 2012


    New Look to the Constant Radial Acceleration Problem

    Quarta, A A | Online Contents | 2012


    Constant radial thrust acceleration redux

    Prussing, John / Coverstone-Carroll, Victoria | AIAA | 1998


    Constant Radial Thrust Acceleration Redux

    John E. Prussing | AIAA | 1998