Analytical accuracy estimates in the determination of satellite orbital parameters from measurements of the relative motion of a satellite and a probe

Mathematics

Scientific paper

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Circular Orbits, Orbital Elements, Position Errors, Satellite Navigation Systems, Satellite Orbits, Angular Velocity, Autonomous Navigation, Computerized Simulation, Correlation, Error Analysis, Matrices (Mathematics)

Scientific paper

Kuznetsov and Porfir'ev (1973) have obtained analytical accuracy estimates for an autonomous navigation system based on measuring the angular position of a probe, ejected from a planetary satellite, with respect to a star. Analysis of the estimates and numerical simulation of the navigation problem showed that the parameters of satellite motion can be determined with a sufficiently high accuracy. In the present paper it is shown that the accuracy can be substantially improved by measuring the distance between the probe and the satellite, in addition to the angular position of the probe.

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