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

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 intia] angular velocity of SUrpm 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 whee] nutation damper; inves- tigate the attitude with and without the gravity gradient force