Rigid body coupled rotation around no intersecting axes

• By vector connected to the pole and the axis the rigid body dynamics is described.
• Mass moment vectors can be new open way for applications in different areas.
• Variation of system parameters can change the dynamics of systems.
• Numerical experiment is used for visualization of phase portraits.

In this paper rigid body dynamic with coupled rotation around axes that are not intersecting is described by vectors connected to the pole and the axis. These mass moment vectors are defined by K. Hedrih. Dynamic equilibrium of rigid body dynamics with coupled rotations is described by vector equations. Also, they are used for obtaining differential equations to the rotor dynamics. In the case where one component of rotation is programmed by constant angular velocity, the non-linear differential equation of the system dynamics in the gravitational field is obtained and so is the corresponding equation of the phase trajectory. Series of phase trajectory transformations in relation with changes of some parameters of rigid body are presented.