Abstract The nonlinearity index is a measure of the nonlinearity of dynamical systems based on computing the initial-condition sensitivity of the state-transition matrix. The Cayley form is a representation for dynamical systems that relates their motion to N-dimensional rotations. The generalized coordinates of the system are used to define an N-dimensional orientation, and a set of quasi velocities is defined equal to the corresponding angular velocity. The nonlinearity index of the Cayley-form representation is computed for an elastic spherical pendulum and a planar satellite example. These results are compared to values for alternative dynamical representations. Additionally, the nonlinearity is evaluated by analyzing how well the linearized equations of each representation capture certain properties of the motion. These results show that the Cayley form can have lower nonlinearity than traditional representations, in particular those representations that suffer from kinematic singularities.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Nonlinearity index of the cayley form


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    2006-12-01


    Format / Umfang :

    16 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Nonlinearity Index of the Cayley Form

    Sinclair, A. J. / Hurtado, J. E. / Junkins, J. L. et al. | British Library Conference Proceedings | 2006


    Nonlinearity index of the cayley form

    Sinclair, Andrew J. / Hurtado, John E. / Junkins, John L. | Online Contents | 2006


    Nonlinearity Index of the Cayley Form

    Sinclair, Andrew J. | Online Contents | 2006


    Nonlinearity Index of the Cayley Form (AAS 05-481)

    Sinclair, A. J. / Hurtado, J. E. / Junkins, J. L. et al. | British Library Conference Proceedings | 2006


    Application of the Cayley Form to General Spacecraft Motion

    Andrew Sinclair / John Hurtado / John Junkins | AIAA | 2006