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A mathematical block diagram for the leveling system is shown in Fig. 7-2.

The platform is initially off level by the angle Aj.

The angle generated by the platform servo **yf multiplied by G is the effective acceleration acting on the accelerometer.

Af is the scale factor of the accelerometer ( Af ).

The voltage Af is amplified by Af and applied to the gyro torquer with scale factor Af.

Finally, the gyro-stabilized platform characteristic is represented by Af.

The system as indicated in Fig. 7-2 is fundamental and simple because the transient effects of both the platform servo and the accelerometer have been neglected.

With these factors included, an upper limit is placed on the allowable loop gain by stability considerations.

In this type of system, a high loop gain is desirable because it provides a fast response time.