STAELEN, Clément; HURÉ, Jean-Marc; MEUNIER, Anaïs; NOÉ, Pauline

doi:10.1051/0004-6361/202450619

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STAELEN, Clément
Laboratoire d'Astrophysique de Bordeaux [Pessac] [LAB]

HURÉ, Jean-Marc
Laboratoire d'Astrophysique de Bordeaux [Pessac] [LAB]

MEUNIER, Anaïs
Université du Luxembourg = University of Luxembourg = Universität Luxemburg [uni.lu]

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Astronomy and Astrophysics - A&A. 2024-11, vol. 691, p. A276

EDP Sciences

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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, J2, is discussed.< Leer menos

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gravitation

methods: analytical

planets and satellites: interiors

stars: interiors

stars: rotation

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Existence of slowly rotating bipolytropes with prolate cores

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