Integrability and nonintegrability in terms of transcendental functions in dynamics of a rigid body

The results of the presented work are due to the study of the applied problem of the rigid body motion in a resisting medium. More earlier the complete lists of transcendental first integrals expressed through a finite combination of elementary functions were obtained. This circumstance allowed the author to perform a complete analysis of all phase trajectories and highlight those properties of them which exhibit the roughness and preserve for systems of a more general form. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)