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aircraft shape factor aircraft weight APmax Apollo atmospheric factors atmospheric pressure atmospheric propagation factors ATMOSPHERIC-FACTOR CHARTS boom calculated as follows Carlson computer program configurations and spacecraft conventional airplane configurations correlations of predicted curve-fit data cutoff Mach number described in reference due to lift e,max effective altitude effective length effective Mach number equations F-function fighter fighter aircraft flight conditions flight path flight-path angles geometric data given in figure ground level hand-held scientific calculators input Kd,c Langley Research Center level flight lift distribution lift parameter lifting force Maglieri NASA TN near-field effects off-track on-track plane planform pressure amplification factor procedure ray path ray-path azimuth angle ray-path distance factor reflection factor sample problems shape-factor charts shown signature calculation simplified method simplified sonic-boom prediction slide rules sonic sonic-boom phenomena spacecraft operating speed of sound standard atmosphere tion value of x-coordinate