Abstract
This paper investigates the geomagnetic effects which result from a small, sinusoidal modulation of the energy density of the solar wind impinging on a model one-dimensional magnetosphere. Most of the energy in low-frequency hydromagnetic waves in the magneto-sphere is thought to be reflected at the level of the maximum in the hydromagnetic wave velocity. With this assumption it is shown that the periodic variation in solar particle pressure on the interface between the magnetosphere and the solar wind generates a stationary hydromagnetic wave in the magnetosphere. The properties of this hydromagnetic wave are examined in detail. In particular, it is found that the wavelength of the sinusoidal variation in energy density of the solar wind must be of order 1000 earth-radii for the wavelength of the stationary hydromagnetic wave to be comparable with the dimensions of the magnetosphere. The results are discussed briefly in connection with theories of micropulsations and particle precipitation.
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