The input to the satellite system of Figure 1 is a step function θ_{c}(t) = 5u(t) in degrees. As a result, the satellite angle θ(t) varies sinusoidally at a frequency of 10 cycles per Minute. Find the ratio of the amplifier gain K and the moment of inertia J for the system, assuming that the units of time in the system Differential equation are seconds.
Figure: Satellite control system