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Precessions and Gyroscopes

  • Emmanuele DiBenedetto
Chapter
Part of the Cornerstones book series (COR)

Abstract

Let \(\{\mathcal{M};d\mu \}\)be a rigid system in precession abouta pole O. Introduce a fixed inertial triad Σ and a moving triad S, both with originat O, so that S is in rigid motion with respect to Σ with angular characteristic ω. The latter is the unknown of the motion.The system is acted upon by external forcesthat generate a resultant moment M (e)with respect to the pole O. The constraint that keeps O fixed and other possible constraintsgive rise to reactions of resultant moment \(\mathcal{M}\)with respect to O. It is assumed that the moment M (e) and \(\mathcal{M}\)are known functions of ω, or equivalently of the Euler angles.

Keywords

Euler Equation Rigid Motion North Pole Effect Oscillation Resultant Moment 
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.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA

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