Representation of the motion of the top by elliptic functions

Raymond J. Nagem () and Guido Sandri ()
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Raymond J. Nagem: Boston University
Guido Sandri: Boston University

Chapter Chapter VI in The Theory of the Top. Volume II, 2010, pp 392-531 from Springer

Abstract: Abstract While our primary interest has been directed until now toward the geometric and mechanical understanding of the motion of the top, the tone of this chapter will be set by the analytical side of our problem. It is inevitable that the corresponding developments will be abstract, and will first appear to lie farther than the previous from the reality of the mechanical processes, even if we renounce, as we must for the sake of brevity, a thorough rigor and completeness in the function-theoretical considerations. In the following, mathematics should not exclusively serve the interest of mechanics, but rather mechanics should, at the same time, be used for the illustration of a mathematical theory, the theory of elliptic functions.

Keywords: Singular Point; Riemann Surface; Branch Point; Elliptic Function; Null Point (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4827-5_3

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DOI: 10.1007/978-0-8176-4827-5_3

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