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.