The fast spinning motion of a rigid body in the presence of a gyrostatic momentum \(\ell_3\)

DOI10.1007/BF01170697zbMath1017.70005OpenAlexW1990461856MaRDI QIDQ1862789

Yanyan Li

Publication date: 19 March 2003

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01170697

zbMATH Keywords

periodic solutionsfixed pointfirst integralsrigid bodyPoincaré's small parameter methodEuler's anglesNewtonian force fieldellipsoid of inertiafast spinning motiongyrostatic momentumquasi-linear autonomous system

Mathematics Subject Classification ID

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

Related Items (11)

On the motion of a gyrostat similar to Lagrange's gyroscope under the influence of a gyrostatic moment vector ⋮ Modeling of the optimal deceleration for the rotatory motion of asymmetric rigid body ⋮ A Riccati-type solution of Euler-Poisson equations of rigid body rotation over the fixed point ⋮ The periodic rotary motions of a rigid body in a new domain of angular velocity ⋮ On the application of KBM method for the 3-D motion of asymmetric rigid body ⋮ 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) ⋮ 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

• Unnamed Item
• Unnamed Item
• The motion of a fast spinning disc which comes out from the limiting case \(\gamma_0\approx 0\)
• The motion of fast spinning rigid body about a fixed point with definite natural frequency
• Limiting Case for the Motion of a Rigid Body About a Fixed Point in the Newtonian Force Field

This page was built for publication: The fast spinning motion of a rigid body in the presence of a gyrostatic momentum \(\ell_3\)