Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, )

We study the regularized (2 − 1)-Kepler problem and other Hamiltonian systems which are related to the nilpotent coadjoint orbits of (, ). The Kustaanheimo-Stiefel and Cayley regularization procedures are discussed, and their equivalence is shown. Some integrable generalization (perturbation) of the...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Author: Odzijewicz, Anatol
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210761
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, ). Anatol Odzijewicz. SIGMA 16 (2020), 087, 23 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine