Rigid bodies

  • V. I. Arnold
Part of the Graduate Texts in Mathematics book series (GTM, volume 60)


In this chapter we study in detail some very special mechanical problems. These problems are traditionally included in a course on classical mechanics, first because they were solved by Euler and Lagrange, and also because we live in three-dimensional euclidean space, so that most of the mechanical systems with a finite number of degrees of freedom which we are likely to encounter consist of rigid bodies.


Angular Velocity Rigid Body Coriolis Force Angular Velocity Vector Angular Momentum Vector 


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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • V. I. Arnold
    • 1
  1. 1.Department of Mathematics Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

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