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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.19210 |
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| _version_ | 1866929402111066112 |
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| author | Huré, Jean-Marc Staelen, Clément |
| author_facet | Huré, Jean-Marc Staelen, Clément |
| contents | We show that a rigidly rotating, homogeneous ellipsoid of revolution threaded by a uniform, coaxial magnetic field is a possible figure of equilibrium. While the spheroidal shape is fully preserved, the rotation rate is modified. Accordingly, we extend the fundamental formula by Maclaurin. In contrast with the non-magnetic case, prolate shapes are permitted, but there are critical states in the form of maximum elongations, depending on ionisation fraction, ion/electron drift, magnetic field and mass-density. As checked from numerical simulations based on the Self-Consistent-Field method, prolate states survive to gas compressibility. The relevance to interstellar clouds is outlined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19210 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Maclaurin spheroid in disguise. New figures of equilibrium with external magnetic support Huré, Jean-Marc Staelen, Clément Astrophysics of Galaxies We show that a rigidly rotating, homogeneous ellipsoid of revolution threaded by a uniform, coaxial magnetic field is a possible figure of equilibrium. While the spheroidal shape is fully preserved, the rotation rate is modified. Accordingly, we extend the fundamental formula by Maclaurin. In contrast with the non-magnetic case, prolate shapes are permitted, but there are critical states in the form of maximum elongations, depending on ionisation fraction, ion/electron drift, magnetic field and mass-density. As checked from numerical simulations based on the Self-Consistent-Field method, prolate states survive to gas compressibility. The relevance to interstellar clouds is outlined. |
| title | The Maclaurin spheroid in disguise. New figures of equilibrium with external magnetic support |
| topic | Astrophysics of Galaxies |
| url | https://arxiv.org/abs/2406.19210 |