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

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2020
• ISSN: 1815-0659
• Автор: Odzijewicz, Anatol
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2020
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/210761
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, ). Anatol Odzijewicz. SIGMA 16 (2020), 087, 23 pages

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...