期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 27, 期 3, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127417500390
关键词
Anisotropic Kepler problem; periodic orbits; averaging theory
资金
- MINECO [MTM2014-51891-P, MTM2016-77278-P, MTM2013-40998-P]
- Fundacion Seneca de la Region de Murcia [19219/PI/14]
- AGAUR [2014SGR-568]
- [FP7-PEOPLE-2012-IRSES 318999]
In this paper, we prove that at every energy level the anisotropic Kepler problem with small anisotropy has two periodic orbits which bifurcate from elliptic orbits of the Kepler problem with high eccentricity. Moreover we provide approximate analytic expressions for these periodic orbits. The tool for proving this result is the averaging theory.
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