Approaching the structure of rotating bodies from dimension reduction
Idioma
en
Article de revue
Este ítem está publicado en
Astronomy and Astrophysics - A&A. 2024-04, vol. 684, p. A59
EDP Sciences
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
gravitation
methods: numerical
planets and satellites: interiors
stars: interiors
stars: rotation
Orígen
Importado de HalCentros de investigación