Taking the Centaur upper stage from last week and assume it is spin stabalized. Model a nutation damper as a reaction wheel that is mounted orthogonally to the spin axis. (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. i. Choose two different spin velocities of your reaction wheel nutation damper; inves- tigate the attitude with and without the gravity gradient force.
Taking the Centaur upper stage from last week and assume it is spin stabalized. Model a nutation damper as a reaction wheel that is mounted orthogonally to the spin axis. (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. i. Choose two different spin velocities of your reaction wheel nutation damper; inves- tigate the attitude with and without the gravity gradient force.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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PLEASE GIVE MATLAB CODE.
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:2. Taking the Centaur upper stage from last week and assume it is spin stabalized. Model a
nutation damper as a reaction wheel that is mounted orthogonally to the spin axis.
(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.
i. Choose two different spin velocities of your reaction wheel nutation damper; inves-
tigate the attitude with and without the gravity gradient force.
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Unable to perform assignment because the left and right sides have a different number of elements.
I am getting that error in matlab from this code.
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