On the motion of a gyrostat similar to Lagrange's gyroscope under the influence of a gyrostatic moment vector

DOI10.1007/S11071-007-9327-XzbMath1347.70004OpenAlexW2093311968MaRDI QIDQ840498

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/s11071-007-9327-x

zbMATH Keywords

Euler's equationssmall parameter methodEuler's anglesmechanics of gyroscope

Mathematics Subject Classification ID

Motion of the gyroscope (70E05)

Related Items (10)

Modeling of the optimal deceleration for the rotatory motion of asymmetric rigid body ⋮ Minimal chaotic models from the Volterra gyrostat ⋮ Studying the vibrational motion of a rotating symmetrically charged solid body subjected to external forces and moments ⋮ Evolution of a heavy rigid body rotation under the action of unsteady restoring and perturbation torques ⋮ Periodic solutions induced by an upright position of small oscillations of a sleeping symmetrical gyrostat ⋮ Electromagnetic gyroscopic motion ⋮ The dynamical motion of a gyrostat for the irrational frequency case ⋮ The rotational motion of a symmetric rigid body similar to Kovalevskaya's case ⋮ On the spinning motion of a disc under the influence a gyrostatic moment ⋮ On the motion of a gyro in the presence of a Newtonian force field and applied moments

Cites Work

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• Perturbed rotational motions of a rigid body similar to regular precession
• The fast spinning motion of a rigid body in the presence of a gyrostatic momentum \(\ell_3\)
• MOTION OF A RIGID BODY ANALOGOUS TO THE CASE OF EULER AND POINSOT
• The “restricted” formulation of the problem of the motion of a heavy rigid body
• Limiting Case for the Motion of a Rigid Body About a Fixed Point in the Newtonian Force Field

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