The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
We will be concerned with three topics: reduction of the order of the equations of motion, kinematic interpretation of the motion, and existence of invariant relations of equations of motion. Our starting point is a system of six equations, the so-called EULER and POISSON equations of motion of a heavy rigid body about a fixed point. The three known first integrals of this system permit us,...