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Periodic solutions and their stability for the problem of gyrostat

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The Hamiltonian function of the problem of gyrostat is written in terms of Deprit's transform. The periodic solutions, using Lie's transform, are given and the condition for their stability is carried out.

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El-Sabaa, F.M. Periodic solutions and their stability for the problem of gyrostat. Astrophys Space Sci 183, 199–213 (1991). https://doi.org/10.1007/BF00637719

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  • Periodic Solution
  • Hamiltonian Function