Optimal deceleration of the initial rotation of a satellite-gyrostat by means of flywheel motors

Mathematics

Scientific paper

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Deceleration, Flywheels, Gyroscopes, Satellite Instruments, Circular Orbits, Control Theory, Matrices (Mathematics), Optimal Control

Scientific paper

An analysis is presented of the deceleration of the initial rotation of a satellite-gyrostat relative to its center of mass in a circular orbit in a Newtonian gravitational field by means of three flywheel motors with minimum energy expenditures. A solution to the optimal deceleration problem is obtained with an accuracy to the small parameter, i.e., the square of the orbital angular velocity.

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