The stability of regular Grioli precessions (Q2761353)

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scientific article; zbMATH DE number 1683398
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The stability of regular Grioli precessions
scientific article; zbMATH DE number 1683398

    Statements

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    18 December 2001
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    regular Grioli precession
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    necessary and sufficient conditions for stability
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    existence of periodic motions
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    The stability of regular Grioli precessions (English)
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    For regular Grioli precessions of a heavy rigid body about a fixed point [\textit{G.~Grioli}, Ann. Mat. Pura Appl., IV, Ser. 26, 271--281 (1947; Zbl 0031.03803)], the author indicates necessary and sufficient conditions for stability. Moreover, the author proves the existence of periodic motions close to regular Grioli precessions.
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