Measuring the Solar Internal Rotation Using Time-Distance Helioseismology. I. The Forward Approach

Astronomy and Astrophysics – Astronomy

Scientific paper

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Sun: Interior, Sun: Oscillations, Sun: Rotation

Scientific paper

We set up the ray equations for acoustic-gravity waves in spherical geometry, in the presence of rotation or any horizontal subsurface flows. Rotation lifts the degeneracy and splits the single time-distance curve for the nonrotating Sun (D'Silva & Duvall 1995) into a family of closely spaced curves, of which the prograde and retrograde curves are at the extreme ends. We calculate time-distance curves (for travel times as measured by Duvall and coworkers for a variety of synthetic radial rotation profiles, including solid-body rotation and the known equatorial differential rotation. The travel time and distance differences between the pro grade and retrograde rays show specific signatures of the rotation profile. Hence, the forward problem to measure rotation is studied in detail.

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