Abstract This paper considers a spinning rigid body and a particle with internal motion under axial thrust. This model is helpful for gaining insights into the nutation anomalies that occurred near the end of orbit injections performed by STAR-48 rocket motors. The stability of this system is investigated by means of linearized equations about a uniform spin reference state. In this model, a double root does not necessarily imply instability. The resulting stability condition defines a manifold in the parameter space. A detailed study of this manifold and the parameter space shows that the envelope of the constant solutions is in fact the stability boundary. Only part of the manifold defines a physical system and the range of frequency values that make the system unstable is restricted. Also it turns out that an increase of the spring stiffness, which restrains the internal motion, does not necessarily increase the stability margin. The application of the model is demonstrated using the orbit injection data of ESA's Ulysses satellite in 1990.

    Highlights ► The paper studies a spinning rigid body under axial thrust and internal motion. ► Its stability is investigated by using linearized equations about a uniform spin. ► We show that the envelope of the stationary solutions is the stability boundary. ► New parametrizations of the stability boundary provide valuable new insights. ► The model is demonstrated by the actual parameters of ESA's Ulysses satellite.


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    Titel :

    Stability of spinning satellite under axial thrust and internal mass motion


    Beteiligte:

    Erschienen in:

    Acta Astronautica ; 94 , 1 ; 502-514


    Erscheinungsdatum :

    2012-09-18


    Format / Umfang :

    13 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch







    Stability of Spinning Satellite Under Axial Thrust and Internal Mass Motion Including Damping (AAS 13-214)

    Janssens, F.L. / van der Ha, J.C. / American Astronautical Society et al. | British Library Conference Proceedings | 2013


    Stability of Spinning Satellite under Axial Thrust and Internal Mass Motion (IAA-AAS-DyCoSS1-01-07 - AAS 12-306)

    Janssens, F.L. / van der Ha, J.C. / American Astronautical Society | British Library Conference Proceedings | 2012