December  2008, 1(4): 647-652. doi: 10.3934/dcdss.2008.1.647

Uniform subharmonic orbits for Sitnikov problem

1. 

Department of Mathematics, Northwestern University, Evanston IL 60208

Received  March 2008 Revised  July 2008 Published  September 2008

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.
Citation: Clark Robinson. Uniform subharmonic orbits for Sitnikov problem. Discrete & Continuous Dynamical Systems - S, 2008, 1 (4) : 647-652. doi: 10.3934/dcdss.2008.1.647
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