Has the problem of the motion of a heavy symmetric top been solved in quadratures?
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909230766751744 |
|---|---|
| author | Deriglazov, Alexei A. |
| author_facet | Deriglazov, Alexei A. |
| contents | We have revised the problem of the motion of a heavy symmetric top. When formulating equations of the Lagrange top with the diagonal inertia tensor, the potential energy has more complicated form as compared with that assumed in the literature on dynamics of a rotating body. This implies the corresponding improvements in equations of motion. Using the Liouville's theorem, we solve the improved equations in quadratures and present the explicit expressions for the resulting elliptic integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_10371 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Has the problem of the motion of a heavy symmetric top been solved in quadratures? Deriglazov, Alexei A. Classical Physics Mathematical Physics Exactly Solvable and Integrable Systems We have revised the problem of the motion of a heavy symmetric top. When formulating equations of the Lagrange top with the diagonal inertia tensor, the potential energy has more complicated form as compared with that assumed in the literature on dynamics of a rotating body. This implies the corresponding improvements in equations of motion. Using the Liouville's theorem, we solve the improved equations in quadratures and present the explicit expressions for the resulting elliptic integrals. |
| title | Has the problem of the motion of a heavy symmetric top been solved in quadratures? |
| topic | Classical Physics Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2304.10371 |