Study of observability of motion of an orbital group of navigation space system using intersatellite range measurements. I

Autonomous observability of multisatellite systems using relative range measurements

“…By investigating the rank of the coefficient matrix in the linearized formation, [10] proves the autonomous orbit determination of two spacecraft using only satellite-to-satellite tracking data is unobservable, which can be improved by combining groundbased tracking data and giving a priori information of the inclination and the longitude of the ascending node of one spacecraft. Similarly, [11]- [12] study the observability of specification of reference motion using intersatellite range measurements on a given interval between spacecraft of the space navigation system and demonstrate that all motion parameters of an orbital group cannot be refined in a unique way, according to the criterion judging the row vectors of the coefficient matrix in the linearized approximate model are linearly dependent or not. Based on the linear timeinvariant observability theory, [13] analyzes the observability of the navigation using two measurement scenarios: one involves the use of only the inertial range measurements, the other employs inertial range measurements with relative range measurements.…”