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New integrable problems in the dynamics of rigid bodies with the Kovalevskaya configuration. I: The case of axisymmetric forces. II: The case of asymmetric forces

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Publication:1368301
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DOI10.1016/0093-6413(96)00041-9zbMath0908.70009OpenAlexW4229703838MaRDI QIDQ1368301

H. M. Yehia

Publication date: 18 March 1999

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(96)00041-9


zbMATH Keywords

conservative forcesmotion about fixed point


Mathematics Subject Classification ID

Free motion of a rigid body (70E15)


Related Items (6)

New integrable problems in rigid body dynamics with quartic integrals ⋮ Regular precession of a gyrostat in three uniform fields ⋮ Topological atlas of the Kovalevskaya top in a double field ⋮ Generalizations of the Kovalevskaya case and quaternions ⋮ Substantial condition for the fourth first integral of the rigid body problem ⋮ New integrable problems in the dynamics of particle and rigid body






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