Convert the pitch gyro to a pitch reaction wheel, and add a pitch sensor to damp out the gravity gradient oscillation of the Seasat satellite. Then, by using a PD control law similar to the roll...

Convert the pitch gyro to a pitch reaction wheel, and add a pitch sensor to damp out the gravity gradient oscillation of the Seasat satellite. Then, by using a PD control law similar to the roll reaction wheel, compare the response of the modified control system to the same initial angular errors and disturbing torques with that given in the example. Consider the Seasat earth-referenced satellite [2] with roll-yaw reaction wheels, and the following control law: h˙x=K_φφ +K_PP +nh_z, h˙_z
= −K_yφ − nh_x
, where K_φ, K_P, K_y
are constant gains to be determined by design.