On first integrals and stability of stationary motions of gyrostat

DOI10.1016/j.physd.2021.133103OpenAlexW4200090053WikidataQ114141946 ScholiaQ114141946MaRDI QIDQ2077857

Alexander Arkad'evich Kosov, Edward Ivanovich Semenov

Publication date: 22 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2021.133103

zbMATH Keywords

area integralLyapunov stabilityenergy integralChetaev methodHess integralforce moment

Mathematics Subject Classification ID

Stability problems in rigid body dynamics (70E50) Motion of the gyroscope (70E05)

Related Items (3)

On the Movement of Gyrostat under the Action of Potential and Gyroscopic Forces ⋮ On analogs of the Bobylev-Steklov case for a gyrostat under the action of a moment of gyroscopic forces ⋮ On analogues of the Hess case for a gyrostat under the action of the moment of gyroscopic and circular forces

Cites Work

• Dynamics of a gyrostat satellite subjected to the action of gravity moment. Equilibrium attitudes and their stability
• New integrable systems with a quartic integral and new generalizations of kovalevskaya's and goriatchev's cases
• New integrable problems in rigid body dynamics with quartic integrals
• On sufficient conditions of stability of the permanent rotations of a heavy triaxial gyrostat
• Stability of the permanent rotations of an asymmetric gyrostat in a uniform Newtonian field
• Integrable cases of the problem of the free motion of a gyrostat
• Gyrostat model regular and chaotic behavior
• The gyrostat with a fixed point in a Newtonian force field: relative equilibria and stability
• On periodic motions of a gyrostat satellite with a large inner (gyrostatic) angular momentum
• Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields
• Exact analytic solution for the rotation of a rigid body having spherical ellipsoid of inertia and subjected to a constant torque
• Steady motions of gyrostat satellites and their stability
• A new integrable problem with a quartic integral in the dynamics of a rigid body
• Evolution of Motions of a Rigid Body About its Center of Mass
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On first integrals and stability of stationary motions of gyrostat