Abstract It has previously been shown in the literature that the generalized Euler sequences (also known as Davenport sequences) provide a universal set of attitude representations. However, while these works assert the existence of generalized Euler angles for a given attitude, they do not provide explicit ranges that those angles must lie within. In addition, they do not generally provide physical insight into what a generalized Euler sequence is. This paper addresses these two points. As such, this paper contains a comprehensive self-contained treatment of generalized Euler sequences. In particular, a constructive approach is taken to proving that the generalized Euler sequences provide a universal set of attitude representations. In doing so, specific ranges that contain the generalized Euler angles are obtained, and physical insight is provided into the generalized Euler sequences. The singularity of the generalized Euler sequences is characterized, and it is shown that the generalized Euler angles are uniquely specified within their restricted ranges when away from the singularity condition.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Generalized Euler Sequences Revisited


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    01.03.2015


    Format / Umfang :

    20 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Generalized Euler Sequences Revisited

    de Ruiter, Anton H. J | Online Contents | 2015


    Generalized Euler Sequences Revisited

    de Ruiter, Anton H. J. / Forbes, James Richard | Online Contents | 2015


    Generalized Euler-Mascheroni Constants

    O. R. Ainsworth / L. W. Howell | NTIS | 1984