| Issue |
A&A
Volume 684, April 2024
|
|
|---|---|---|
| Article Number | A59 | |
| Number of page(s) | 14 | |
| Section | Stellar structure and evolution | |
| DOI | https://doi.org/10.1051/0004-6361/202348590 | |
| Published online | 24 April 2024 | |
Approaching the structure of rotating bodies from dimension reduction⋆
Univ. Bordeaux, CNRS, LAB, UMR 5804, 33600 Pessac, France
e-mail: clement.staelen@u-bordeaux.fr
Received:
13
November 2023
Accepted:
25
January 2024
We show that the two-dimensional structure of a rigidly rotating self-gravitating body is accessible with relatively good precision by assuming a purely spheroidal stratification. With this hypothesis, the two-dimensional problem becomes one-dimensional, and consists in solving two coupled fixed-point equations in terms of equatorial mass density and eccentricity of isopycnics. We propose a simple algorithm of resolution based on the self-consistent field method. Compared to the full unconstrained-surface two-dimensional problem, the precision in the normalized enthalpy field is better than 10−3 in absolute, and the computing time is drastically reduced. In addition, this one-dimensional approach is fully appropriate to fast rotators, works for any density profile (including any barotropic equation of state), and can account for mass density jumps in the system, including the existence of an ambient pressure. Several tests are given.
Key words: gravitation / methods: numerical / planets and satellites: interiors / stars: interiors / stars: rotation
A minimum driver program is available at https://github.com/clstaelen/ssba
© The Authors 2024
Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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