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On the rotational motion of a gyrostat about a fixed point with mass distribution

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Publication:840488
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DOI10.1007/s11071-007-9320-4zbMath1198.70004OpenAlexW1992103529MaRDI QIDQ840488

T. S. Amer

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-007-9320-4


zbMATH Keywords

small parameteraveraging methodsecond approxiamtion


Mathematics Subject Classification ID

Perturbation methods for rigid body dynamics (70E20) Motion of a rigid body with a fixed point (70E17) Motion of the gyroscope (70E05)


Related Items

Studying the vibrational motion of a rotating symmetrically charged solid body subjected to external forces and moments ⋮ The dynamical motion of a gyrostat for the irrational frequency case ⋮ Substantial condition for the fourth first integral of the rigid body problem ⋮ On a new type of solving procedure for Euler-Poisson equations (rigid body rotation over the fixed point)



Cites Work

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  • Perturbed rotational motions of a rigid body similar to regular precession
  • Suboptimal control of rigid body motion with a quadratic cost
  • On the orientation of a rigid body using point masses.
  • Averaging method in non-linear mechanics
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