5. Orientation Kinematics

  1. Reza N. Jazar

Published Online: 24 FEB 2011

DOI: 10.1002/9780470950029.ch5

Advanced Dynamics: Rigid Body, Multibody, and Aerospace Applications

Advanced Dynamics: Rigid Body, Multibody, and Aerospace Applications

How to Cite

Jazar, R. N. (2011) Orientation Kinematics, in Advanced Dynamics: Rigid Body, Multibody, and Aerospace Applications, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470950029.ch5

Author Information

  1. School of Aerospace, Mechanical, and Manufacturing Engineering, RMIT University Melbourne, Australia

Publication History

  1. Published Online: 24 FEB 2011
  2. Published Print: 9 MAR 2011

ISBN Information

Print ISBN: 9780470398357

Online ISBN: 9780470950029

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Keywords:

  • orientation kinematics, determination of angle and axis - of rigid bodies;
  • axis–angle rotation - angle–axis or axis–angle rotation matrix;
  • spinors and rotators;
  • Euler parameters, the most general displacement of a rigid body - with one point fixed, a rotation about axis;
  • problems in representing rotations - applied rotation analysis of rigid bodies by matrix calculus

Summary

This chapter contains sections titled:

  • Axis–Angle Rotation

  • Euler Parameters

  • ☆ Quaternion

  • ☆ Spinors and Rotators

  • ☆ Problems in Representing Rotations

  • Composition and Decomposition of Rotations

  • Key Symbols

  • Exercises