The Conley-Zehnder indices of the rotating Kepler problem
We determine the Conley-Zehnder indices of all periodic orbits of the rotating Kepler problem for energies below the critical Jacobi energy. Consequently, we show the universal cover of the bounded component of the regularized energy hypersurface is dynamically convex. Moreover, in the universal cov...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2013
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| In: |
Mathematical proceedings of the Cambridge Philosophical Society
Year: 2012, Volume: 154, Issue: 2, Pages: 243-260 |
| ISSN: | 1469-8064 |
| DOI: | 10.1017/S0305004112000515 |
| Online Access: | Resolving-System, Volltext: http://dx.doi.org/10.1017/S0305004112000515 Verlag, Volltext: https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/conleyzehnder-indices-of-the-rotating-kepler-problem/88431653142F233C0141F36C92C5DD91 
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| Author Notes: | by Peter Albers, Joel W. Fish, Urs Frauenfelder and Otto van Koert |
| Summary: | We determine the Conley-Zehnder indices of all periodic orbits of the rotating Kepler problem for energies below the critical Jacobi energy. Consequently, we show the universal cover of the bounded component of the regularized energy hypersurface is dynamically convex. Moreover, in the universal cover there is always precisely one periodic orbit with Conley-Zehnder index 3, namely the lift of the doubly covered retrograde circular orbit. |
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| Item Description: | First published online 3 October 2012 Gesehen am 18.02.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1469-8064 |
| DOI: | 10.1017/S0305004112000515 |