. Airborne radar. Airplanes; Guided missiles. 9-13] RANGE TRACKING DESIGN EXAMPLE 9-13 RANGE TRACKING DESIGN EXAMPLE As an example of going from the tactical to the practical in prelimi- nary servo-system design^^ consider a bombing aircraft on a constant- velocity straight and level flight that is radar range tracking a fixed surface target as depicted in Fig. 9- 18 for which / = time in seconds (/ = 0 at minimum range or crossover) V 505. o Fig. 9-1 Pass-Course Range-Tracking Problem. aircraft horizontal speed in knots H = aircraft altitude Ri = range to target in yards /?o = slant range to
. Airborne radar. Airplanes; Guided missiles. 9-13] RANGE TRACKING DESIGN EXAMPLE 9-13 RANGE TRACKING DESIGN EXAMPLE As an example of going from the tactical to the practical in prelimi- nary servo-system design^^ consider a bombing aircraft on a constant- velocity straight and level flight that is radar range tracking a fixed surface target as depicted in Fig. 9- 18 for which / = time in seconds (/ = 0 at minimum range or crossover) V 505. o Fig. 9-1 Pass-Course Range-Tracking Problem. aircraft horizontal speed in knots H = aircraft altitude Ri = range to target in yards /?o = slant range to target at crossover 0 = fixed ground surface target. The aircraft radar range tracking time function becomes Ri = {R^ + {KVtYYi'^ yd hr (9-6) where K = sec Equation 9-6 may be normalized to the form r[-(-;)T (9-7) where T = R^IKV. As was suggested earlier, an asymptotic-segment representation of the upper bound of the excitation function transformed to the frequency domain that is reasonably accurately located provides the amount of detail useful in the engineering design of a servo system transfer function. Since our objective is to determine the upper bound of the magnitude on a log- magnitude log-frequency plot, with any errors resulting from approximation methods such that a servo-system transfer function based upon the analysis will be conservatively designed, the tedious details associated with close 2''Pass-course angle tracking is treated in a comparable manner in C. F. White, Tactical to Practical in Preliminary Servo-System Design, NRL Report 4879, February Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Povejsil, Donald J. Princeton, N. J. , Van Nostrand
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