Abstract
Equations of motion for the Lagrange top in the inertial coordinates system are formulated in continuous-time variable, and they are solved explicitly in terms of the elliptic functions. Then it is shown that such equations of motion suggest time-discretized equations for the same model, which were given by Bobenko and Suris some years ago. And it is proved to be also a discrete integrable system. Exact solutions for such discrete equations are also constructed explicitly by using the elliptic functions.
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