Has the problem of the motion of a heavy symmetric top been solved in quadratures?

Abstract

We have revised the problem of the motion of a heavy symmetric top. When formulating equations of the Lagrange top with the diagonal inertia tensor, the potential energy has more complicated form as compared with that assumed in the literature on dynamics of a rotating body. This implies the corresponding improvements in equations of motion. Using the Liouville's theorem, we solve the improved equations in quadratures and present the explicit expressions for the resulting elliptic integrals.

arXiv comment6 pages, typos fixed once again, notation improved, discussion extended

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Cited by in corpus (3)

• General solution to Euler-Poisson equations of a free symmetric body by direct summation of power series
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