Abstract
It is known that the stability or instability of motion of a rigid axi-symmetric satellite spinning around its axis of symmetry can be determined by knowing its inertia-momentratio and its winding number [1,2]. This classical result is based on a linear stability analysis of the equation of motion which allows very small angular deviations of the satellite’s axis of symmetry from the space-fixed Z-direction (see Figure 1.).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Thomson, W.T.,“Spin Stabilization of Attitude against Gravity Torque”, Journal of the Astronautical Sciences, Vol. 9, No. 1, pp. 31–33, 1962.
Kane, T.R., Marsh, E.L., Wilson, W.G., “Letter to the Editor”, Journal of the Astronautical Sciences, Vol. 9, pp. 108–109, 1962.
Magnus, K., Kreisel, Springer-Verlag, Berlin, 1971.
Guran, A., Contributions to the Study of Instabilities in a Class of Conservative Systems, Toronto, 1990.
Richter, P.H., and Scholz, H.J. The Planar Double Pendulum, Film C1574, Göttingen; Publ. Wiss. Film, Sekt. Techn. Wiss/Naturw. Ser.9, Nr.7/C1574, 1985.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Birkhäuser Verlag Basel
About this chapter
Cite this chapter
Guran, A. (1991). On the Stability of a Spinning Satellite in a Central Force Field. In: Seydel, R., Schneider, F.W., Küpper, T., Troger, H. (eds) Bifurcation and Chaos: Analysis, Algorithms, Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 97. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7004-7_17
Download citation
DOI: https://doi.org/10.1007/978-3-0348-7004-7_17
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7006-1
Online ISBN: 978-3-0348-7004-7
eBook Packages: Springer Book Archive