Existence of slowly rotating bipolytropes with prolate cores
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929550223474688 |
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| author | Staelen, Clément Huré, Jean-Marc Meunier, Anaïs Noé, Pauline |
| author_facet | Staelen, Clément Huré, Jean-Marc Meunier, Anaïs Noé, Pauline |
| contents | We report the existence of hydrostatic equilibrium states for a composite body made of two rigidly rotating, homogeneous layers bounded by spheroidal surfaces, where the core has a prolate shape. These new configurations require an oblate envelope that spins faster than the core. No solution with a prolate envelope is found. For some parameters, the prolate core can even be at rest. Numerical experiments based on the self-consistent field method support this result in the case of heterogeneous layers with polytropic equations of state. The possible cancellation of the first gravitational moment, $J_2$, is discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14482 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of slowly rotating bipolytropes with prolate cores Staelen, Clément Huré, Jean-Marc Meunier, Anaïs Noé, Pauline Earth and Planetary Astrophysics Solar and Stellar Astrophysics Classical Physics We report the existence of hydrostatic equilibrium states for a composite body made of two rigidly rotating, homogeneous layers bounded by spheroidal surfaces, where the core has a prolate shape. These new configurations require an oblate envelope that spins faster than the core. No solution with a prolate envelope is found. For some parameters, the prolate core can even be at rest. Numerical experiments based on the self-consistent field method support this result in the case of heterogeneous layers with polytropic equations of state. The possible cancellation of the first gravitational moment, $J_2$, is discussed. |
| title | Existence of slowly rotating bipolytropes with prolate cores |
| topic | Earth and Planetary Astrophysics Solar and Stellar Astrophysics Classical Physics |
| url | https://arxiv.org/abs/2410.14482 |