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A new class of periodic solutions in the Kovalevskaya case of a rigid body in rotation about a fixed point

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Abstract

The equation of motion of a rigid body in Kovaleveskaya case is reduced to a plane motion. By using the method of small parameters introduced by Poincaré, the existence of a periodic solution is established.

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References

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kuwait University, Kuwait

    F. M. F. El-Sabaa

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  1. F. M. F. El-Sabaa
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El-Sabaa, F.M.F. A new class of periodic solutions in the Kovalevskaya case of a rigid body in rotation about a fixed point. Celestial Mechanics 37, 71–79 (1985). https://doi.org/10.1007/BF01230342

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  • DOI: https://doi.org/10.1007/BF01230342

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