On the full list of finite‐valued solutions of the Euler‐Poisson equations having four first integrals

A. Belyaev

Mathematische Nachrichten, 2012, vol. 285, issue 10, 1199-1229

Abstract: Only 13 general and partial solutions of the problem of a heavy rigid body's movement have been found from the discovery of the first one by Euler in 1758 till now. All these solutions are finite‐valued in the classical Euler and Poisson's variables except the one in the Hess case. In this paper the problem of finding the full list of the finite‐valued solutions is considered.

Date: 2012
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