Fig. 1.
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Spheroidal coordinate system with n = 13 subdomains used to compute the equilibrium model of a star rotating at 60% of its break-up velocity corresponding to the case of the 3 M⊙ ESTER model (with the central fraction in Hydrogen Xc = 0.7) studied in Sect. 5. ζ and θ are the pseudo-radius and the colatitude, respectively. ηi and ΔRi(θ) are defined in our mapping (Eq. (1)).
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