Mathematical aspects of evaluating effectiveness of the Earth's surface spacecraft

This article is devoted to evaluation of the effectiveness of the spacecraft remote sensing of the Earth. The probability of monitoring the spacecraft remote sensing of the specified area is proposed as a generalized indicator of the effectiveness. That probability depends on the probability of the reception of information about the object and the probability of occurrence of data transmission to the point of processing through the channels of satellite communication systems. The probability of obtaining information about an object is determined by the probability of object detection in the area and probability of its identification. The focus is on the estimation of the probability of object detection in a service area. This figure has a geometric meaning, which determines the percentage of the area surface viewed by the spacecraft. The calculation of geometric probability is generally performed using R-functions. The work includes mathematical description of the span and area of service by the final mathematical expressions, on the basis of which correlations to calculate area-based indicators of the viewing areas of the earth's surface were obtained.