Hodograph Method to Restore the Radial Profile of Magnetospheric Plasma Density From Data of Ground-Based ULF Observations

Physics

Scientific paper

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2752 Mhd Waves And Instabilities, 2768 Plasmasphere, 2794 Instruments And Techniques

Scientific paper

A new method to restore the radial profile of resonant magnetospheric frequencies from the data of ground-based ULF measurements is presented. In contrast with the standard gradient method, the approach of this paper is based on simultaneous use of both amplitude and phase information. It is implemented via analysis of the hodograph (in the complex plane) of the ratio between complex spectra at two stations. This geometrical method with the use of the hodograph enables one to extract more information about the magnetospheric resonator parameters: For example, it provides not only the resonant frequency at the position midway between the two stations but also its continuous latitudinal distribution; it also provides the Q-factor of the resonator. An interactive program is elaborated that makes it possible in an easy way to control the match of the gradient observations data to the resonance model, and to find the least-squares-fit approximation of the hodograph. The possibility to restore a continuous radial profile of plasma density in the magnetosphere is demonstrated with the data of Pc4 observations along the Great Britain magnetometer array.

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