A method for inverting high-degree modes

Physics

Scientific paper

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Sun: Oscillations, Sun: Rotation, Sun: Interior

Scientific paper

In order to invert solar oscillation frequencies, the oscillation equation is linearized around a solar model. However, this linearization does not account for frequency differences due to near-surface uncertainties in the model. The usual method to deal with this is to add a slowly varying function of frequency to the inversion equation. This approach does not work for high-degree modes, because the surface-related uncertainty in the frequencies is no longer just a function of frequency. We present here a modified inversion equation that can be used to invert high-degree modes. This work is motivated by the desire to invert the high-degree mode frequencies obtained by ring diagram analyses.

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