Uniform subharmonic orbits for Sitnikov problem

Clark Robinson

doi:10.3934/dcdss.2008.1.647

Uniform subharmonic orbits for Sitnikov problem

Clark Robinson^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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)
Pages (from-to)	647-652
Number of pages	6
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	1
Issue number	4
DOIs	https://doi.org/10.3934/dcdss.2008.1.647
State	Published - Dec 2008

Keywords

Melnikov function
Sitnikov problem

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcdss.2008.1.647

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title = "Uniform subharmonic orbits for Sitnikov problem",

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.",

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author = "Clark Robinson",

year = "2008",

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KW - Sitnikov problem

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Uniform subharmonic orbits for Sitnikov problem

Abstract

Keywords

ASJC Scopus subject areas

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