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Uncertainty on the Doppler Shift

The above determination is a weak function of the assumed Doppler shift, which depends on the corotation velocity and the electron temperature. How far do the uncertainties on these parameters affect the determination of the tex2html_wrap_inline615 ? The relative uncertainty due to the Doppler shift at a given frequency f is

equation173

where tex2html_wrap_inline939 . In the outer torus, the corotation velocity slightly lags strict corotation [Hill, 1980]. With large parameter ranges bracketing the expected values, 100 km/s tex2html_wrap_inline941 120 km/s and tex2html_wrap_inline943 K tex2html_wrap_inline945 K, we obtain tex2html_wrap_inline947 . Note that tex2html_wrap_inline899 is expected to increase with latitude [Meyer-Vernet, Moncuquet and Hoang, 1995], so that 0.05 is probably an upper limit. We deduce that the cold plasma frequency is determined with a 5% relative accuracy, to which a 3% uncertainty must be added because of the limited frequency resolution of the receiver.


Michel Moncuquet
Tue Nov 18 19:11:02 MET 1997