UDC 523.152.3From an analysis of the CHAMP (Germany) and satellite data it follows that the second-order time derivative of the eikonal (eikonal acceleration) and the Doppler frequency shift are two most important parameters indispensable for the radio vision of layers in the atmosphere and the ionosphere. Measurements of the temporal evolution of the Doppler shift permit one to study the vertical structure of the atmosphere under the condition of its spherical symmetry. Analysis of the amplitude and phase of interrelated variations in the eikonal acceleration and radio-wave intensity permits one to detect the layers in the atmosphere and the ionosphere. Eikonal variations are converted into refraction attenuation variations, which allows the integral absorption to be determined with the refraction effect on the radio-wave intensity cancelled out. This is necessary for measurements of the water-vapor density and gas minorities during multifrequency radio-occultation sounding along the satellite-to-satellite paths. The obtained results can be of common value for other remote-sounding paths, as well.Remote sounding of the Earth's ionosphere and atmosphere by two-position (radio-occultation) method is performed with the use of two satellites, one of which emits and another receives radio waves. As the satellites move in an orbit, the perigee of the ray trajectory crosses the ionosphere and the atmosphere in the vertical direction. Vertical profiles of phase and amplitude variations of a radio signal are recorded by a receiver onboard a low-orbit satellite. The mentioned profiles contain information on the refractive properties of the Earth's ionosphere and atmosphere near the perigee of a radio ray (or near its turning point at which the gradient of the refractive index is perpendicular to the ray path of the radio waves) [1-3]. This information is important for the real-time global monitoring of the ionosphere and the atmosphere as well as for estimation of conditions of radio communication on the satellite-to-satellite transionospheric paths.The radio-occultation sounding technique is based on the assumptions that the atmosphere and the ionosphere are spherically symmetric and that the effect of turbulent and irregular structures on the retrieved vertical profiles of the refractive index is insignificant. The first assumption is often not fulfilled because of the influence of the horizontal gradients and plasma disturbances in the lower ionosphere. Vertical profiles of the refractive index are usually determined by measurement of the Doppler shift of the radiowave frequency [1][2][3]. Information contained in the amplitude part of the radio holograms was almost not addressed earlier, and this fact impedes separation of the contributions from layers and from turbulent (small-scale) structures. An important relationship between the second-order time derivative (acceleration) of the eikonal, the Doppler frequency, and intensity variations of a radio-occultation signal was revealed by theoretical consideration and ex...