Chaotic motion of a rigid rotator
The author transforms the equations of motion of a heavy rigid body into dynamical systems of two degrees of freedom by using isothermal coordinates. The new system has Jacobi's integral and the author investigates numerically the existence of the second integral. This integral occurs when the regular orbits lie on invariant tori in the phase space. Stochastic regions indicate that the system is non- integrable. Numerical examples are indicated in both cases.
scientific article; zbMATH DE number 773770