Poincare's small-parameter method for Hamiltonian systems is used to investigate the existence of periodic solutions in the problem of rotational motion of an axisymmetric satellite about its center of mass on a circular orbit. The motion of the satellite is described by Andoyer's canonical osculating elements. Analytic conditions are obtained for the existence of Schwarzschild and Poincare periodic solutions and they are investigated qualitatively and numerically.
Department of Celestial Mechanics and Grayimetry
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