A new integrable problem with a quartic integral in the dynamics of a rigid body
A new integrable problem with a quartic integral in the dynamics of a rigid body
We consider the problem of motion of a rigid body about a fixed point under the action of an axisymmetric combination of potential and gyroscopic forces. We introduce a new integrable case, valid on zero level of the cyclic integral, that generalizes the known case of motion of a body …