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Uniform subharmonic orbits for Sitnikov problem

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  • We highlight the argument in Moser's monograph that the subharmonic periodic orbits for the Sitnikov problem exist uniformly for the eccentricity sufficiently small. We indicate how this relates to the uniformity of subharmonic periodic orbits for a forced Hamiltonian system of one degree of freedom with a symmetry.
    Mathematics Subject Classification: 34C60, 70F07.

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