The application of a state transition matrix solution for the rotational motion of a satellite to star identification

Mathematics

Scientific paper

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Matrices (Mathematics), Photogrammetry, Satellite Instruments, Satellite Rotation, Star Trackers, Imaging Techniques, Kinematic Equations, Roots Of Equations, Star Distribution

Scientific paper

A new technique that minimizes difficulties associated with star identification for sensors that do not generally have simultaneous multiple acquisition of stellar images is described. This technique uses a special state transition matrix solution of the kinematic equations for the rotational motion of a satellite. This state transition matrix is used to collapse all star hits that occur over an interval of time to their effective image space positions at some epoch. Inherent in the process is information that can be used to optimally adjust parameters of the motion model without a priori identification of the imaged stars. The result of this collapsing and adjustment process is essentially a minimum distortion instantaneous photograph of the star field. The star pattern is then identified by an efficient combination of angular separation and direct match techniques.

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