Abstract The analytic Keplerian 6 × 6 Earth Centered Inertial state transition matrix developed by Goodyear, Battin, and other mathematicians is well known. The primary objectives of this paper are to present a relatively simple formulation of the Keplerian state transition matrix, and to show that the higher-order secular terms associated with the state transition matrices of Goodyear and Battin can be eliminated. Analytic and numerical results indicate that the concern about these unbounded secular terms for numerical integration is not warranted. Comparison of Keplerian, Vinti, and numerical state transition matrices in the Hill-Clohessy-Wiltshire coordinate system (local-vertical coordinate system) further supports this contention since the two secular elements of the Keplerian state transition matrix match closely with those of the Vinti and numerical state transition matrices.


    Zugriff

    Zugriff über TIB

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    An Elegant State Transition Matrix


    Beteiligte:
    Der, Gim J. (Autor:in)

    Erschienen in:

    Erscheinungsdatum :

    1997




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch



    Klassifikation :

    Lokalklassifikation TIB:    770/7040
    BKL:    55.60 Raumfahrttechnik



    An Elegant State Transition Matrix

    Der, Gim J. | Online Contents | 1997


    An Elegant State Transition Matrix

    Der, Gim J. | Springer Verlag | 1997


    An Elegant State Transition Matrix

    Der, G. / American Institute of Aeronautics and Astronautics / American Astronautical Society | British Library Conference Proceedings | 1996



    Elegant steam yacht

    Engineering Index Backfile | 1901