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Approaching the structure of rotating bodies from dimension reduction

hal.structure.identifierLaboratoire d'Astrophysique de Bordeaux [Pessac] [LAB]
dc.contributor.authorSTAELEN, Clément
hal.structure.identifierLaboratoire d'Astrophysique de Bordeaux [Pessac] [LAB]
dc.contributor.authorHURÉ, Jean-Marc
dc.date.accessioned2024-04-16T02:24:06Z
dc.date.available2024-04-16T02:24:06Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/199034
dc.description.abstractEnWe 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.
dc.language.isoen
dc.title.enApproaching the structure of rotating bodies from dimension reduction
dc.typeDocument de travail - Pré-publication
dc.subject.halPhysique [physics]/Astrophysique [astro-ph]
dc.subject.halPhysique [physics]/Relativité Générale et Cosmologie Quantique [gr-qc]
dc.subject.halPhysique [physics]/Physique [physics]/Physique Générale [physics.gen-ph]
dc.identifier.arxiv2402.08386
bordeaux.hal.laboratoriesLaboratoire d'Astrophysique de Bordeaux (LAB) - UMR 5804*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionCNRS
hal.identifierhal-04480721
hal.version1
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04480721v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=STAELEN,%20Cl%C3%A9ment&HUR%C3%89,%20Jean-Marc&rft.genre=preprint


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