Euler Angle Simulation with MATLAB - Integrating the Rotational Kinematic Differential Equations

Euler Angle Simulation with MATLAB - Integrating the Rotational Kinematic Differential Equations

Ross Dynamics Lab via YouTube Direct link

Typical quaternion notation is different. The Euler parameter set, also known as a quaternion, is a four-parameter set.

10 of 10

10 of 10

Typical quaternion notation is different. The Euler parameter set, also known as a quaternion, is a four-parameter set.

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Classroom Contents

Euler Angle Simulation with MATLAB - Integrating the Rotational Kinematic Differential Equations

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  1. 1 Kinematic differential equation review
  2. 2 MATLAB demo introduction
  3. 3 Writing ODE function with kinematic differential equations
  4. 4 Numerical integration of ODE function of Euler angles
  5. 5 Plotting the results
  6. 6 3D visualization of resulting rigid body motion
  7. 7 Challenge for the student: use Euler parameters instead of Euler angles
  8. 8 Other attitude coordinates: modified Rodrigues parameters, stereographic projection, Cayley-Klein parameters
  9. 9 What the Euler parameters topologically represent, and spheres in N dimensions
  10. 10 Typical quaternion notation is different. The Euler parameter set, also known as a quaternion, is a four-parameter set.

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