Advances in Applied Clifford Algebras

, Volume 20, Issue 1, pp 141–154

Rigid Body Dynamics Using Clifford Algebra

Article

DOI: 10.1007/s00006-008-0144-1

Cite this article as:
Selig, J.M. & Bayro-Corrochano, E. AACA (2010) 20: 141. doi:10.1007/s00006-008-0144-1
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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 bodiesdynamicsClifford algebra

Mathematics Subject Classification (2000).

Primary 70E15Secondary 11E88

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