On the Inference of the Solar Internal Rotation Profile from Frequencysplitting Data
Abstract
From the earliest helioseismology data it was inferred that the internal angular velocity of the Sun is invariant across the convection zone (i.e., it mimics the surface differential rotation). This result caused some concern to theoreticians since many dynamo and dynamical models of the convection zone require that the angular velocity be approximately constant on cylinders concentric about the rotation axis.
Stark and others have argued that in order to test models of the angular velocity against frequency splitting data the uncertainties in these data must be magnified, and it is shown here that within these uncertainties it is indeed difficult to exclude some models in which the angular velocity is independent of radius across a region including the convection zone and some depths below it. Further, Gough and his colleagues have recently claimed that the currently available data are not inconsistent with some models for which the angular velocity is constant on cylinders within the Sun's convection zone. Thus, inferences from frequencysplitting data regarding the internal angular velocity of the Sun would seem to be somewhat uncertain.
In this paper, these uncertainties are discussed and an alternative approach is proposed in which a forward method is used to find the simplest model for the angular velocity (i.e., with the least positional variations) consistent with the data, including the quoted uncertainties. While it is not claimed that such a model represents the true angular velocity, its features may be said to "characterize" the essential properties of a particular data set.
 Publication:

The Astrophysical Journal
 Pub Date:
 October 1996
 DOI:
 10.1086/177893
 Bibcode:
 1996ApJ...470..621W
 Keywords:

 CONVECTION;
 MAGNETOHYDRODYNAMICS: MHD;
 SUN: INTERIOR;
 SUN: OSCILLATIONS