Transaction of the Japan Society for Simulation Technology
Online ISSN : 1883-5058
Print ISSN : 1883-5031
ISSN-L : 1883-5058
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Dynamical Simulation of the Euler's Top in the Neighborhood of a Stable Axis
Kazumasa Miyamoto
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2010 Volume 2 Issue 4 Pages 111-117

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Abstract
  The dynamical simulation method of the Lagrange's top proposed in [1] can be applied to nonsymmetric Euler's top in free motion. In application of the method, the invariant angular momentum is used to derive non-dimensional equations. To cancel integral error which central difference scheme accumulates, total derivative of the first integral is applied. For the evaluation of numerical precision, analytical solution of a symmetric Euler's top is utilized. The study case of the simulation is free rotation around near z-axis which is stable.
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© 2010 Japan Society for Simulation Technology
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