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Table 1

Unit vectors in the geometric setup.

Symbol Description
k^Mathematical equation: ${\hat k}$ Direction from the star center to the distant observer.
ȓ Direction from the star center to the emitting surface patch.
n^Mathematical equation: $\hat n$ Local surface normal at the emitting patch (coincides with ȓ for spherical stars).
k^0Mathematical equation: ${\hat k_0}$ Initial photon direction at emission (before propagation).
z^Mathematical equation: ${\hat z}$ Stellar rotation axis.
β^Mathematical equation: $\hat \beta$ Local velocity direction of the emitting patch (tangent to the azimuthal circle).

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