Accuracy assessment of sighting of a celestial object by an orbiting star-tracking telescope

Mathematics

Scientific paper

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Optical Tracking, Spaceborne Telescopes, Star Trackers, Astronomical Coordinates, Attitude Control, Flywheels, Instrument Errors, Matrices (Mathematics)

Scientific paper

A method for assessing the accuracy of the sighting of a celestial object by a spaceborne star-tracking telescope is presented. Analytic expressions are obtained for estimating the accuracy of the alignment of the optical axis of the telescope with the sighting vector. Estimates have also been made of the deviations of the optical axis due to rotation of unbalanced members, and characteristics of steady motion of the spacecraft were studied as a function of the control loop parameters. The probability of sighting a celestial object (point source) by a spaceborne telescope is examined for various random distribution laws.

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