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Time Dependence of the Solar Rotation Rate
  • +1
  • Roger Ulrich,
  • John Boyden,
  • Tham Tran,
  • Luca Bertello
Roger Ulrich
Department of Physics and Astronomy, UCLA, Department of Physics and Astronomy, UCLA

Corresponding Author:ulrich@astro.ucla.edu

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John Boyden
Department of Physics and Astronomy, UCLA, Department of Physics and Astronomy, UCLA
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Tham Tran
Department of Physics and Astronomy, UCLA, Department of Physics and Astronomy, UCLA
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Luca Bertello
National Solar Observatory, Boulder, CO, National Solar Observatory, Boulder, CO
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Abstract

The sun is a plasma threaded variously by magnetic fields that stretch from the deep interior to the heliosphere. These fields can couple various layers together and transfer momentum between different parts of the solar interior. The sun is not a rigid body and there is no requirement from conservation of angular momentum that the overall solar rotation rate as measured at the photosphere need remain constant. At the 150-foot solar tower telescope on Mt. Wilson the Doppler shift, magnetic fields and line intensity of the solar photosphere have been measured as often as possible beginning in 1965 (1965 and 1966 were lost in a data handling mistake). The overall rotation rate is determined for each observation by fitting the observed photospheric velocities to the function ωsid(φ) =A+Bsin2(φ) +Csin4(φ) where φ is latitude, to determine what is known as the A coefficient. We are currently re-reducing all the data from the 150-foot tower system. Differential rotation is described by the B and C coefficients which we are holding constant with average values. The velocities come from Doppler shifts which with a Babcock magnetograph come mostly from the displacement of the moving sampling stage which balances the intensity in the wings of the spectral line. Line shape calibration uncertainties do not influence this shift. We find variations in the global rotation rate which are larger than the shifts known as the torsional oscillations. If the B and C coefficients are fitted to each Dopplergram the torsional oscillations become evident. Instrument changes of the exit slit system and spectrograph grating do not introduce jumps in the A coefficient. Restriction of observations to those when the sun is within 40 degrees of local noon leaves the result essentially unchanged. There may be a solar cycle influence but, the resulting pattern shown in the attached figure is more complex than that. Data from before 1983 has a scatter about 3 times larger than what is shown here with an average consistent with these results. However, the larger scatter prevents the variability from being evident.