Abstract
The article sets up some of the mathematics underpinning this LNP and is addressed to those who have learnt rigid-body dynamics officially but still feel suspicious toward it. I try to relieve the monotony by discussing unusual examples, and by delving deeper into the usual material than many books.
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References
P. Appell, Traité de Mécanique Rationnelle, tome II, Gauthier-Villars, 1896; repr. J. Gabay, 1991.
V. Arnold, Ann. Inst. Fourier, 16(1966) 319–361.
M. Audin, Spinning Tops, Cambridge UP, 1996.
H. Crabtree, Elementary Treatment of the Theory of Spinning Tops and Gyroscopic Motion, Longmans, 1909; repr. Chelsea, 1967.
L. Euler, Mém. de l’Acad. Sci. Berlin 14(1758) 154–193 ≃ Opera II 7, 200–235.
L. Euler, Theoria Motus Corporum Solidorum seu Rigidorum., A. F. Roese, 1765 ≃ OperaII 3, 4.
V. V. Golubev, Lektsii po Integrirovaniyu UravneniÄ Dvizheniya Tyazhelogo Tverdogo Tela okolo NepodvizhnoÄ Tochki, Gostekhizdat, 1953.
C. G. J. Jacobi, Crelle 39(1849) 293–350 ≃ Werke 2, 289–352.
C. Jordan, Cours d’Analyse, tome II, Gauthier-Villars, 2e ed. 1894; repr. J. Gabay, 1991.
F. Klein & A. Sommerfeld, Über die Theorie des Kreisels, Band I–IV, Teubner, 1897–1910.
S. Kowalevski, Acta Math. 12 (1889) 177–232.
J.-L. Lagrange, Méchanique Analitique, Veuve Desaint, 1788 ≃ Œuvres 11, 12; repr. J. Gabay, 1989.
L. Poinsot, Théorie Nouvelle de la Rotation des Corps, Paris, 1834; repr. J. Math. Pures Appl., série I, 16(1851) 9–129, 289–336.
E. J. Routh, Dynamics of a System of Rigid Bodies: Elementary Part, Macmillan, 1860; repr. Dover, 1960.
E. J. Routh, Dynamics of a System of Rigid Bodies: Advanced Part, Macmillan, 1860; repr. Dover, 1955.
M. Toda, J. Phys. Soc. Japan 22(1967) 431–436.
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Tokieda, T. (2006). Spinning Bodies: A Tutorial. In: Souchay, J. (eds) Dynamics of Extended Celestial Bodies and Rings. Lecture Notes in Physics, vol 682. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32455-0_1
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DOI: https://doi.org/10.1007/3-540-32455-0_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28024-8
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