Abstract
This paper describes, analyzes, and explains a novel twisting phenomenon which occurs in a triaxial rigid body (such as a tennis racket) when it is rotating about an axis initially near its unstable intermediate principal axis.
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References
Abramowitz, M., and Stegun, I. A. (eds.) (1964).Handbook of Mathematical Functions, Applied Mathematics Series, Vol. 55, National Bureau of Standards, Washington, D.C.
Arnol'd, V. I. (1978).Mathematical Methods of Classical Mechanics, Springer-Verlag, New York.
Brody, H. (1985). The moment of inertia of a tennis racket.Phys. Teach. April, 213–216.
Colley, S. J. (1987). The tumbling box.Am. Math. Month. 94, 62–68. [See also (1987). Letter to the editor. Am. Math. Month.94, 646].
Goldstein, H. (1950).Classical Mechanics, Addison-Wesley, Reading, Mass.
Gradshteyn, I. S., and Ryzhik, I. M. (1980).Table of Integrals, Series and Products, corrected and enlarged ed., Academic Press, New York.
Klein, F., and Sommerfeld, A. (1897–1910).Über die Theorie des Kreisels (4 vols.), B. G. Teubner, Leipzig.
Landau, L. D., and Lifshitz, E. M. (1976).Mechanics, 3rd ed., Pergamon Press, Oxford.
Rauch, H., and Lebowitz, A. (1973).Elliptic Functions, Theta Functions, and Riemann Surfaces, Williams and Wilkins, Baltimore.
Tricomi, F. G. (1953).Differential Equations, Blackie and Son, London.
Webster, A. G. (1920).The Dynamics of Particles and of Rigid, Elastic, and Fluid Bodies, Stechert-Hafner, New York.
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Ashbaugh, M.S., Chicone, C.C. & Cushman, R.H. The twisting tennis racket. J Dyn Diff Equat 3, 67–85 (1991). https://doi.org/10.1007/BF01049489
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DOI: https://doi.org/10.1007/BF01049489