Limit cycle analysis of large space telescope with CMG nonlinearity

Mathematics – Functional Analysis

Scientific paper

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Control Moment Gyroscopes, Hubble Space Telescope, Friction, Functional Analysis, Mathematical Models, Nonlinearity, Self Oscillation

Scientific paper

The existence and characteristics of self-sustained oscillations were studied in the Large Space Telescope (LST) system due to the presence of nonlinear gimbal friction in the control moment gyroscopes (CMG's). A continuous data single-axis model of the LST is considered. A solid friction model is used to represent CMG gimbal friction. A rigorous mathematical model is derived for use in a continuous describing function analysis. Conditions for self-sustained oscillations are then determined.

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