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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210761 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862554265833177088 |
|---|---|
| author | Odzijewicz, Anatol |
| author_facet | Odzijewicz, Anatol |
| citation_txt | Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, ). Anatol Odzijewicz. SIGMA 16 (2020), 087, 23 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 (2 − 1)-Kepler problem is proposed.
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| first_indexed | 2026-03-13T05:46:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210761 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T05:46:27Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Odzijewicz, Anatol 2025-12-17T14:29:58Z 2020 Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, ). Anatol Odzijewicz. SIGMA 16 (2020), 087, 23 pages 1815-0659 2020 Mathematics Subject Classification: 53D17; 53D20; 53D22; 70H06 arXiv:1806.05912 https://nasplib.isofts.kiev.ua/handle/123456789/210761 https://doi.org/10.3842/SIGMA.2020.087 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 (2 − 1)-Kepler problem is proposed. The author would like to express his sincere gratitude to all the anonymous referees for their comments and remarks, which improved the paper and made it more readable. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, ) Article published earlier |
| spellingShingle | Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, ) Odzijewicz, Anatol |
| title | Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, ) |
| title_full | Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, ) |
| title_fullStr | Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, ) |
| title_full_unstemmed | Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, ) |
| title_short | Perturbed (2 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of (, ) |
| title_sort | perturbed (2 − 1)-dimensional kepler problem and the nilpotent adjoint orbits of (, ) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210761 |
| work_keys_str_mv | AT odzijewiczanatol perturbed21dimensionalkeplerproblemandthenilpotentadjointorbitsof |