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Annales Geophysicae An open-access journal of the European Geosciences Union
Ann. Geophys., 35, 325-331, 2017
http://www.ann-geophys.net/35/325/2017/
doi:10.5194/angeo-35-325-2017
© Author(s) 2017. This work is distributed
under the Creative Commons Attribution 3.0 License.
ANGEO Communicates
01 Mar 2017
Error estimate of Taylor's frozen-in flow hypothesis in the spectral domain
Yasuhito Narita Space Research Institute, Austrian Academy of Sciences, Schmiedlstr. 6, 8042 Graz, Austria
Abstract. The quality of Taylor's frozen-in flow hypothesis can be measured by estimating the amount of the fluctuation energy mapped from the streamwise wavenumbers onto the Doppler-shifted frequencies in the spectral domain. For a random sweeping case with a Gaussian variation of the large-scale flow, the mapping quality is expressed by the error function which depends on the mean flow speed, the sweeping velocity, the frequency bin, and the frequency of interest. Both hydrodynamic and magnetohydrodynamic treatments are presented on the error estimate of Taylor's hypothesis with examples from the solar wind measurements.

Citation: Narita, Y.: Error estimate of Taylor's frozen-in flow hypothesis in the spectral domain, Ann. Geophys., 35, 325-331, doi:10.5194/angeo-35-325-2017, 2017.
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Short summary
In situ spacecraft data in space plasma are obtained often as time series data. Using Taylor's frozen-in flow hypothesis, one can interpret the time series data as spatial variations swept by the slow and passing by the spacecraft. A quantitative method for estimating the error for Taylor's hypothesis is developed here.
In situ spacecraft data in space plasma are obtained often as time series data. Using Taylor's...
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