The average delay of information exchange in the downlink communication of a low Earth orbit satellite network (LEO SN) between a repeater satellite (RS) with an active phased antenna array (APAA) with discretely scanning beams and ground subscribers has been studied. To calculate the average information transmission delay time in the downlink communication, a mathematical model in the form of a queuing system has been developed. Analytical expressions have been obtained that relate the average delay time to the main network parameters: the channel capacity, number of scanning beams, number of time slots in a scanning frame, etc. for two beam scanning algorithms: static and dynamic. The dependences illustrating the advantages of the discretely scanning beam technology are presented. Estimates of the APAA size depending on a number of beams, radiation pattern width, and scanning sector size are given.
Zhuchkov et al. (Mon,) studied this question.