Report
Keplerian orbits through the Conley-Zehnder index
| العنوان: | Keplerian orbits through the Conley-Zehnder index |
|---|---|
| المؤلفون: | Kavle, Henry, Offin, Daniel, Portaluri, Alessandro |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, Mathematical Physics, 70F05, 53D12, 70F15 |
| الوصف: | It was discovered by Gordon in 1977 that Keplerian ellipses in the plane are minimizers of the Lagrangian action and spectrally stable as periodic points of the associated Hamiltonian flow. The aim of this paper is to give a homotopy theoretical proof of these results through a self-contained, explicit and simple computation of the Conley-Zehnder index. The techniques developed in this paper can be used to investigate the higher dimensional case of Keplerian ellipses, where the classical variational proof no longer applies. Comment: 21 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1908.00075 |
| رقم الانضمام: | edsarx.1908.00075 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |