Assume a Centaur V upper stage with an empty mass of 2,247 kg, diameter of 3.05 meters and height of 12.68m, the wall thickness is 41mm, whereas the motor can be assumed to fill up 1/4 of the inner volume. You can assume the density of the walls and the motor to be uniform. You can assume the upper stage has been properly passivated and has no fuel remaining.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Assume a Centaur V upper stage with an empty mass of 2,247 kg, diameter of 3.05 meters
and height of 12.68m, the wall thickness is 41mm, whereas the motor can be assumed to
fill up 1/4 of the inner volume. You can assume the density of the walls and the motor to
be uniform. You can assume the upper stage has been properly passivated and has no fuel
remaining.
Transcribed Image Text:Assume a Centaur V upper stage with an empty mass of 2,247 kg, diameter of 3.05 meters and height of 12.68m, the wall thickness is 41mm, whereas the motor can be assumed to fill up 1/4 of the inner volume. You can assume the density of the walls and the motor to be uniform. You can assume the upper stage has been properly passivated and has no fuel remaining.
1. Taking the Centaur upper stage from last week and assume it is spin stabalized. Model a real
nutation damper. You can neglect the gravity gradient torque.
(a) Plot the attitude of the upper stage, starting with an intial angular velocity of 80rpm
along the spin axis of the cylinder and 2rpm in the remaining directions. Code up in
matlab, include all matlab code in your submission, and write out relevant equations
and where you use them in your code by hand. Comment on your plots and the results
that you observe. Use for the nutation damper values α = 0.75, p = 0: 003.
Transcribed Image Text:1. Taking the Centaur upper stage from last week and assume it is spin stabalized. Model a real nutation damper. You can neglect the gravity gradient torque. (a) Plot the attitude of the upper stage, starting with an intial angular velocity of 80rpm along the spin axis of the cylinder and 2rpm in the remaining directions. Code up in matlab, include all matlab code in your submission, and write out relevant equations and where you use them in your code by hand. Comment on your plots and the results that you observe. Use for the nutation damper values α = 0.75, p = 0: 003.
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