Wj. Chaplin et al., Rigid rotation of the solar core? On the reliable extraction of low-l rotational p-mode splittings from full-disc observations of the Sun, M NOT R AST, 327(4), 2001, pp. 1127-1136
We present low-l rotational p-mode splittings from the analysis of 8 yr of
observations made by the Birmingham Solar-Oscillations Network (BiSON) of t
he full solar disc. These data are presented in the light of a thorough inv
estigation of the fitting techniques used to extract them. Particular atten
tion is paid to both the origin and magnitude of bias present in these esti
mates. An extensive Monte Carlo strategy has been adopted to facilitate thi
s study-in all, several thousand complete, artificial proxies of the 96-mon
th data set have been generated to test the analysis of real 'full-disc' da
ta. These simulations allow for an assessment of any complications in the a
nalysis which might arise from variations in the properties of the p modes
over the 11-yr solar activity cycle.
The use of such an extended data set affords greater precision in the split
tings, and by implication the rotation rate inferred from these data, and r
educes bias inherent in the analysis, thereby giving a more accurate determ
ination of the rotation. The grand, weighted sidereal average of the BiSON
set is 434 +/-2 nHz, a value consistent with that expected were the deep ra
diative interior (r/R<0.5) to rotate at the same frequency, and in the same
'rigid' manner, as the more precisely and accurately studied outer part of
the radiative zone.