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THE TEMPORAL EVOLUTION IS PRESENTED OF ION-SOUND TURBULENCE IN THE EARTH'S MAGNETOSPHERE. THE ORIGIN OF THE TURBULENCE IS ASSOCIATED WITH CURRENTS AND ELECTRIC FIELDS ALONG GEOMAGNETIC FIELD LINES. THE ANOMALOUS DISSIPATION OF THE LONGITUDINAL CURRENTS CAUSED BY TURBULENCE IS THE SOURCE OF GRADUAL HEATING OF THE PLASMA. THE DAMPING OF SHORT-PERIOD OSCILLATIONS OF THE MAGNETIC FIELD, CORRESPONDING TO MHD-WAVES IN THE MAGNETOSPHERE, MAY SERVE AS A DIAGNOSTIC MEASURE OF THIS PHENOMENON. AS CALCULATIONS SHOW, THE DAMPING SHOULD DECREASE WITH AN INCREASE IN PLASMA TEMPERATURE, AND, CONSEQUENTLY, WITH TIME. THE DAMPING DECREMENT OF SHORT-PERIOD OSCILLATIONS OBSERVED ON THE BACKGROUND OF SUFFICIENTLY INTENSE BAYS IS ANALYZED, AND IT IS OBSERVED THAT THE DAMPING DOES TEND TO DECREASE WITH TIME.