Some Integrable Cases of Rigid Body Dynamics

The rigid body dynamics are rich with problems interesting from the mathematical point of view, in particular, with integrable problems. Certainly, the most famous ones are the three integrable cases of the rotation of a heavy rigid body about a fixed point in a homogeneous gravity field, named after Euler, Lagrange, and Kovalevsky. They were discovered in the 18th and the 19th century, and can be called classical. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.