The use of a random number generator to develop a technique for predicting the departure of quantum clocks

Abstract

The issues related to the development of models for predicting the divergence of scales of spatially dispersed quantum clocks are considered. The graphs of discrepancies between the scales of the onboard clocks of navigation satellites (NS) GLONASS and GPS relative to the scale of the central synchronizer are given. Mathematical models are proposed for predicting the departure of the onboard clock scales from the CA scale, consisting of three analytical components and an autoregression equation. The first two components analytically define linear and parabolic trends in the divergence of the scales. The third component is represented by a trigonometric polynomial with non-multiple harmonics. The parameters of all three components are estimated using the least squares method (OLS) based on the data of discrepancies in the NS clock scales individually for each NS. The forecast of residual stochastic changes is made using the autoregression equation. To work out forecasting models, it is proposed to use a software simulator of the instability process of quantum clocks.