The effect of spatial smearing on solar Doppler measurements. I - Mathematical formulation and application to measurements of solar rotation

Physics

Scientific paper

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Doppler Effect, Light Scattering, Solar Rotation, Solar Velocity, Limb Darkening, Photosphere, Sunspots, Velocity Errors, Velocity Measurement

Scientific paper

A mathematical method for calculating the influence of scattered light on solar Doppler measurements is developed and presented. It is shown that the main contribution to the error signal is caused by the long range scattering component of the stray-light. The method is applied on Doppler measurements of solar rotation, and the results are compared with the observations from Stanford and Mt. Wilson that hitherto have only been crudely corrected for the effects to straylight. Some of the large scatter in the published results on the solar rotation rate is shown to be caused by a too simple parameterization of the straylight. Within the uncertainties of the current measurements it is shown that the Doppler rotation rate of the solar photosphere is equal to the sunspot tracer rotation rate.

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