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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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