A space telescope is shown in the figure. One of the reaction wheels of its attitude-control system
Question:
A space telescope is shown in the figure. One of the reaction wheels of its attitude-control system is spinning as shown at 10 rad /s, and at this speed the friction in the wheel bearing causes an internal moment of 10−6 N∙m. Both the wheel speed and the friction moment may be considered constant over a time span of several hours. If the mass moment of inertia of the entire spacecraft about the x-axis is 150(103) kg∙m2, determine how much time passes before the line of sight of the initially stationary spacecraft drifts by 1 arcsecond, which is 1/3600 degree. All other elements are fixed relative to the spacecraft, and no torquing of the reaction wheel shown is performed to correct the attitude drift. Neglect external torques.
Step by Step Answer:
Engineering Mechanics Dynamics
ISBN: 9781118885840
8th Edition
Authors: James L. Meriam, L. G. Kraige, J. N. Bolton