306 HW 8

# 306 HW 8 - MAE 306 Fall 2008 HW 8 Due 5:00 PM Thursday...

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Unformatted text preview: MAE 306 Fall 2008 HW 8 Due 5:00 PM, Thursday April 10, 2008 Thruster Maneuvers 1. (2 points) A spacecraft with the inertia matrix shown below is spinning about its maximum axis at 1 RPM. A thruster is located at 3 2 1 1 2 . 1 . b b b r + + = m from the center of mass. Its thrust direction is 3 ˆ b f = , and it is capable of 2 N of thrust. How many 100 msec pulses are necessary to reorient this spacecraft 30 deg? ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ = 600 500 300 B I kg-m 2 2. (2 points) The following spacecraft must reorient its angular momentum vector by 10 o . Assuming that all of the thruster pulses are equal in duration and that 1000 pulses are to be used, what is the duration of each pulse? Inertia matrix in operational coordinates ( b i axes): 2 B m kg 4023 2255 4023 ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ = I Angular velocity in operational coordinates: rad/sec 2 B ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ = ω Available thruster force in operational coordinates: Nm 5 B ⎥ ⎥...
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## This note was uploaded on 05/22/2008 for the course M&AE 306 taught by Professor Peck during the Spring '08 term at Cornell.

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306 HW 8 - MAE 306 Fall 2008 HW 8 Due 5:00 PM Thursday...

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