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The Free Rigid Body

  • Jerrold E. Marsden
  • Tudor S. Ratiu
Chapter
  • 2.5k Downloads
Part of the Texts in Applied Mathematics book series (TAM, volume 17)

Abstract

As an application of the theory developed so far, we discuss the motion of a free rigid body about a fixed point. We begin with a discussion of the kinematics of rigid-body motion. Our description of the kinematics of rigid bodies follows some of the notation and conventions of continuum mechanics, as in Marsden and Hughes [1983].

Keywords

Rigid Body Poisson Bracket Euler Angle Cotangent Bundle Heteroclinic Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Jerrold E. Marsden
    • 1
  • Tudor S. Ratiu
    • 2
  1. 1.California Institute of TechnologyControl and Dynamical Systems, 107-81PasadenaUSA
  2. 2.Département de mathématiquesEcole polytechnique fédérale de LausanneLausanneSwitzerland

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