Fig. 1

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Effect of the density perturbation inside a vertical magnetic flux tube FT (indicated by the purple stub) in a stellar convection zone. For the purpose of evaluating the outer stellar gravitational potential, the mass deficit inside the tube is equivalent to adding two point masses mA at the pointsA and A′ on a plane perpendicular to the tube axis here taken to be coincident with the y axis. The x-axis of our reference frame is taken along the line joining the two masses that are symmetrically situated with respect to the barycenter of the star O at the abscissas ± xA. These two masses produce a gravitational potential outside the star that is no longer spherically symmetric and can be described by a quadrupole term. It depends on the distance OP = r of a given point P from the barycenter O and the angle α between the directions OP and OA of the line joining the two point masses (see the text).
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