Rigid Body Kinematic Differential Equation for Euler Angles and Rotation Matrix

Translational kinematic differential equations.
Rotational kinematic differential equations.
Euler angles give us the rotation matrix (direction cosine matrix).
Deriving the rotational kinematic differential equations for yaw-pitch-roll.
The singularity in the Euler angle kinematic differential equations .
Alternatives to the Euler angles.
The fundamental differential equation for the rotation matrix.
Euler principal axis and angle formulation for rotation.
- Euler's rotational dynamics for a torque-free rigid body.
Euler's equations for a free rigid body.
Animations of free rigid body motion.
Analyzing the dynamics of a symmetric free rigid body.