A limit of nonplanar 5-body central configurations is nonplanar
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913224095432704 |
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| author | Albouy, Alain Fernandes, Antonio Carlos |
| author_facet | Albouy, Alain Fernandes, Antonio Carlos |
| contents | Moeckel (1990), Moeckel and Simó (1995) proved that, while continuously changing the masses, a 946-body planar central configuration bifurcates into a spatial central configuration. We show that this kind of bifurcation does not occur with 5 bodies. Question 17 in the list Albouy & al (2012) is thus answered negatively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_12901 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A limit of nonplanar 5-body central configurations is nonplanar Albouy, Alain Fernandes, Antonio Carlos Mathematical Physics 70F10 Moeckel (1990), Moeckel and Simó (1995) proved that, while continuously changing the masses, a 946-body planar central configuration bifurcates into a spatial central configuration. We show that this kind of bifurcation does not occur with 5 bodies. Question 17 in the list Albouy & al (2012) is thus answered negatively. |
| title | A limit of nonplanar 5-body central configurations is nonplanar |
| topic | Mathematical Physics 70F10 |
| url | https://arxiv.org/abs/2308.12901 |