BOUTIN-BASILLAIS, B.; HURÉ, J.-M.

doi:10.1093/mnras/stz1615

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BOUTIN-BASILLAIS, B.
ECLIPSE 2019

HURÉ, J.-M.
ECLIPSE 2019

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Monthly Notices of the Royal Astronomical Society. 2019-06-19, vol. 487, n° 4, p. 4504-4509

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The equilibrium of incompressible spheroid-ring systems in rigid rotation is investigated by numerical means for a unity density contrast. A great diversity of binary configurations is obtained, with no limit neither in the mass ratio, nor in the orbital separation. We found only detached binaries, meaning that the end-point of the ɛ2-sequence is the single binary state in strict contact, easily prone to mass-exchange. The solutions show a remarkable confinement in the rotation frequency-angular momentum diagram, with a total absence of equilibrium for Ω2/πGρ ≳ 0.21. A short band of degeneracy is present next to the one-ring sequence. We unveil a continuum of bifurcations all along the ascending side of the Maclaurin sequence for eccentricities of the ellipsoid less than ≈0.612 and which involves a gradually expanding, initially massless loop.< Réduire

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Methods: numerical

Gravitation

stars: interiors

stars: rotation

Methods: analytical

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Rigidly rotating, incompressible spheroid-ring systems: new bifurcations, critical rotations and degenerate states

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