Existence of Liouvillian solutions in the Hess-Sretensky case of the problem of motion of a gyrostat with a fixed point

Alexander S. Kuleshov, Anton D. Skripkin

In 1890 W. Hess found the new special case of integrability of the Euler - Poisson equations of motion of a heavy rigid body with a fixed point. In 1963 L.N. Sretensky proved that…