Abstract This paper offers a new approach for constructing Kolmogorov - Arnold - Moser (KAM) tori for orbits in the full potential for a non-spherical planet. The Hamilton - Jacobi equation is solved numerically by a Newton-Rhapson iteration, achieving convergence to machine precision, and still retaining literal variable dependence. Similar iteration methods allow correcting the orbital frequencies, and permit the calculation of the state transition matrix for the full problem. Some initial numerical examples are offered.


    Zugriff

    Zugriff über TIB

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    A KAM Tori Algorithm for Earth Satellite Orbits


    Beteiligte:


    Erscheinungsdatum :

    2017




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch



    Klassifikation :

    BKL:    55.60 Raumfahrttechnik
    Lokalklassifikation TIB:    770/7040



    A KAM Tori Algorithm for Earth Satellite Orbits

    Wiesel, William E. | Springer Verlag | 2017


    Earth satellite orbits as KAM tori

    Wiesel, William E. | Online Contents | 2008


    Earth Satellite Orbits as KAM Tori

    Wiesel, William E. | Online Contents | 2008


    Earth satellite orbits as KAM tori

    Wiesel, William E. | Springer Verlag | 2008


    Earth Satellite Orbits as KAM Tori

    Wiesel, W.E. / American Astronautical Society; American Institute of Aeronautics and Astronautics | British Library Conference Proceedings | 2008