506 



AUTOMATIC TRACKING CIRCUITS 



approximations to the input time function may be avoided. We pi 

 by taking derivatives of Equation 9-7. Thus 



Ro 



(0 



[-(;)']"■ 



)ceed 



(9-8) 



"• h(0' 



Plots of Equations 9-7, 9-8, and 9-9 are shown in Fig. 9-19. A 

 segment broken-line approximation of range rate is shown in Fig. 



(9-9) 



three- 

 9-20a. 



Fig. 9-19 Normalized Position, Velocity, and Acceleration Components of Motion 

 for Pass-Course Range Tracking. 



. Slope = - 



-At -3t -2r -f /q '^ 2t 3r 4t 



'0 +^ 



\r-0 



Fig. 9-20 Approximations for Components of Motion Leading to Impulses. 



