Calvert, W., R. F. Benson, D. L. Carpenter, S. F. Fung, D. L. Gallagher, J. L. Green, P. H. Reiff, B. W. Reinisch, M. F. Smith, and W. W. L. Taylor, Radio sounding of the earthıs magnetosphere, URSI meeting, Boulder, CO, Jan. 3-7, 1995. RADIO SOUNDING OF THE EARTH'S MAGNETOSPHERE W. Calvert, R. F. Benson, D. L. Carpenter, S. F. Fung, D. L. Gallagher, J. L. Green, P. H. Reiff, B. W. Reinisch, M. F. Smith, and W. W. L. Taylor c/o W. Calvert Department of Physics and Astronomy University of Iowa, Iowa City. IA 52242 Radio sounding in the Earth's magnetosphere would provide remote density measurements of unprecedented precision and coverage, yielding important new information about the structure, relationship, and variations of its different plasma regions. Using ray tracing and wave theory, we have investigated the echo properties of the magnetosphere for a satellite radio sounder located in the magnetospheric cavity outside the plasmasphere. We have constructed density models for the plasmasphere, magnetopause, and cusp based on previous satellite measurements of local density, and calculated the direction, echo power flux, and delay of the echoes which they produce at frequencies of 30 to 300 kHz. We have also analyzed focusing and defocusing by curved surfaces, investigated the echoes produced by large-scale density irregularities at the magnetopause, and examined the nature of spread echoes at the plasmapause and magnetopause. For a sounder using three orthogonal antennas to measure echo directions, the angular precision, in radians, equals twice the reciprocal signal-to-noise ratio, and as a consequence, the volume resolution remains constant as the pulse length and bandwidth are varied to change the range resolution. Using pulse compression and spectral integration, a 10-watt sounder with 500-meter transmitting antennas would produce a signal-to-noise ratio of a hundred or more for echoes from the magnetopause, plasmapause, and plasmasphere at 30 to 300 kHz in about 3 minutes, using 5% frequency steps, a 300 Hz receiver bandwidth, and 3.3 msec sounding pulses. This then implies 1š angular precision, and hence 500 km spatial resolution in all three directions at a distance of 4 Earth radii.