Solar oblateness & asphericities temporal variations: outstanding some unsolved issues
Jean P. Rozelot, Alexander G. Kosovichev, Ali Kilcik

TL;DR
This paper investigates the temporal variations of solar oblateness using helioseismic data, revealing a lag behind solar activity cycles and a notable change between cycles 23 and 24, which enhances understanding of solar internal dynamics.
Contribution
It introduces a method to infer solar oblateness variations from helioseismic data by inverting even coefficients of f-mode oscillation frequency splitting.
Findings
Oblateness variations lag solar activity by about 3 years.
Oblateness was greater in cycle 24 despite lower solar activity.
Helioseismic analysis reveals changes in the Sun's near-subsurface layers.
Abstract
Solar oblateness has been the subject of several studies dating back to the nineteenth century. Despite diffculties, both theoretical and observational, tangible results have been achieved. However, variability of the solar oblateness with time is still poorly known. How the solar shape evolves with the solar cycle has been a challenging problem. Analysis of the helioseismic data, which are the most accurate measure of the solar structure up to now, leads to the determination of asphericity coeffcients which have been found to change with time. We show here that by inverting even coeffcients of f-mode oscillation frequency splitting to obtain the oblateness magnitude and its temporal dependence can be inferred. It is found that the oblateness variations lag the solar activity cycles by about 3 years. A major change occurred between solar cycles 23 and 24 is that the oblateness was…
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