Perturbed (2π β 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of π(π, π)
We study the regularized (2π β 1)-Kepler problem and other Hamiltonian systems which are related to the nilpotent coadjoint orbits of π(π, π). The Kustaanheimo-Stiefel and Cayley regularization procedures are discussed, and their equivalence is shown. Some integrable generalization (perturbation) of...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
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| Format: | Article |
| Language: | English |
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ΠΠ½ΡΡΠΈΡΡΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ ΠΠΠ Π£ΠΊΡΠ°ΡΠ½ΠΈ
2020
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| 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 (2π β 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of π(π, π). Anatol Odzijewicz. SIGMA 16 (2020), 087, 23 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We study the regularized (2π β 1)-Kepler problem and other Hamiltonian systems which are related to the nilpotent coadjoint orbits of π(π, π). The Kustaanheimo-Stiefel and Cayley regularization procedures are discussed, and their equivalence is shown. Some integrable generalization (perturbation) of the (2π β 1)-Kepler problem is proposed.
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| ISSN: | 1815-0659 |