Study of Observability of Motion of an Orbital Group of Navigation Space System Using Intersatellite Range Measurements. II

摘要

This study continues the analysis of observability of the problem of refinement of motion parameters of an orbital group of navigation spacecrafts using intersatellite range measurements on a given interval initiated in [1]. The analysis is performed in the framework of linear models connecting measured and refined parameters on a measurement interval. A number of theorems and corollaries concerning the properties of observability in the problem of refinement of motion parameters using intersatellite range measurements for the cases of three and all navigation spacecrafts of the orbital group are proved. It is shown that all motion parameters of an orbital group cannot be refined in a unique way using intersatellite range measurements between navigation spacecrafts, and three parameters are always "unobservable". Recommendations for construction of onboard algorithm for intersatellite measurement processing are given.