hyperelliptic
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1: 22.19 Physical Applications
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§22.19(iv) Tops
►The classical rotation of rigid bodies in free space or about a fixed point may be described in terms of elliptic, or hyperelliptic, functions if the motion is integrable (Audin (1999, Chapter 1)). Hyperelliptic functions are solutions of the equation , where is a polynomial of degree higher than 4. …A more abstract overview is Audin (1999, Chapters III and IV), and a complete discussion of analytical solutions in the elliptic and hyperelliptic cases appears in Golubev (1960, Chapters V and VII), the original hyperelliptic investigation being due to Kowalevski (1889). …2: 31.8 Solutions via Quadratures
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►The variables and are two coordinates of the associated hyperelliptic (spectral) curve .
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