Advances in Applied Clifford Algebras

, Volume 20, Issue 1, pp 141–154

Rigid Body Dynamics Using Clifford Algebra

Article

Abstract.

In this paper the dynamics of rigid bodies is recast into a Clifford algebra formalism. Specifically, the algebra Cℓ(0, 6, 2), is used and it is shown how velocities, momenta and inertias can be represented by elements of this algebra. The equations of motion for a rigid body are simply derived by differentiating the momentum of the body.

Keywords.

Rigid bodies dynamics Clifford algebra 

Mathematics Subject Classification (2000).

Primary 70E15 Secondary 11E88 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2008

Authors and Affiliations

  1. 1.Faculty of Business, Computing and Information ManagementLondon South Bank UniversityLondonUK
  2. 2.Centro de Investigación y de Estudios AvanzadosGuadalajaraMexico

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