Abstract
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.
Original language | English (US) |
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Pages (from-to) | 647-652 |
Number of pages | 6 |
Journal | Discrete and Continuous Dynamical Systems - Series S |
Volume | 1 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2008 |
Keywords
- Melnikov function
- Sitnikov problem
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics