Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Cariñena, J.F., Rañada, M.F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147429
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem / J.F. Cariñena, M.F. Rañada // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 36 назв. — англ.

The existence of quasi-bi-Hamiltonian structures for the Kepler problem is studied. We first relate the superintegrability of the system with the existence of two complex functions endowed with very interesting Poisson bracket properties and then we prove the existence of a quasi-bi-Hamiltonian stru...