Advances in Applied Clifford Algebras

, Volume 20, Issue 1, pp 141-154

First online:

Rigid Body Dynamics Using Clifford Algebra

  • J. M. SeligAffiliated withFaculty of Business, Computing and Information Management, London South Bank University Email author 
  • , E. Bayro-CorrochanoAffiliated withCentro de Investigación y de Estudios Avanzados

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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.


Rigid bodies dynamics Clifford algebra

Mathematics Subject Classification (2000).

Primary 70E15 Secondary 11E88