New conditional integrable cases of motion of a rigid body with Kovalevskaya's configuration

DOI10.1088/1751-8113/44/1/012001zbMath1273.70006OpenAlexW2084045235MaRDI QIDQ3070991

A. A. Elmandouh, H. M. Yehia

Publication date: 28 January 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/44/1/012001

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical systems in classical and celestial mechanics (37N05) Motion of a rigid body with a fixed point (70E17)

Related Items (11)

On the integrability of the motion of 3D-swinging Atwood machine and related problems ⋮ New integrable problems in rigid body dynamics with quartic integrals ⋮ Studying the vibrational motion of a rotating symmetrically charged solid body subjected to external forces and moments ⋮ On the stability of the permanent rotations of a charged rigid body-gyrostat ⋮ The dynamical motion of a gyrostat for the irrational frequency case ⋮ Generalizations of the Kovalevskaya case and quaternions ⋮ The rotational motion of a symmetric rigid body similar to Kovalevskaya's case ⋮ Substantial condition for the fourth first integral of the rigid body problem ⋮ Hamiltonian structure, equilibria, and stability for an axisymmetric gyrostat motion in the presence of gravity and magnetic fields ⋮ On two-dimensional integrable models with a cubic or quartic integral of motion ⋮ New integrable problems in the dynamics of particle and rigid body

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