Rigid Body Kinematic Differential Equation for Euler Angles and Rotation Matrix

Rigid Body Kinematic Differential Equation for Euler Angles and Rotation Matrix

Ross Dynamics Lab via YouTube Direct link

Animations of free rigid body motion

11 of 12

11 of 12

Animations of free rigid body motion

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Classroom Contents

Rigid Body Kinematic Differential Equation for Euler Angles and Rotation Matrix

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  1. 1 Translational kinematic differential equations
  2. 2 Rotational kinematic differential equations
  3. 3 Euler angles give us the rotation matrix (direction cosine matrix)
  4. 4 Deriving the rotational kinematic differential equations for yaw-pitch-roll
  5. 5 The singularity in the Euler angle kinematic differential equations
  6. 6 Alternatives to the Euler angles
  7. 7 The fundamental differential equation for the rotation matrix
  8. 8 Euler principal axis and angle formulation for rotation
  9. 9 - Euler's rotational dynamics for a torque-free rigid body
  10. 10 Euler's equations for a free rigid body
  11. 11 Animations of free rigid body motion
  12. 12 Analyzing the dynamics of a symmetric free rigid body

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