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1.0 Distance 9J 8P IdS acoustic calculations acoustic formulation acoustic pressure signature acoustic spectrum advanced geometry advanced propellers Aeroacoustics aircraft Algorithms angle azimuthal coordinate blade geometry blade surface chord chordwise pressure distribution CM Dd CM o CM computer program conventional propeller curve of intersection Dirac delta function Distance along span divided into panels equation 12 Farassat Find emission function harmonics helical Mach number i i i i i i i i i ical Langley Research Center lift coefficient linear acoustic measured acoustic data measured data method moving frame NACA NASA noise calculations noise of propellers noise prediction numerical technique observer position panels moving paper discusses parabola pitch change axis predicting the noise propeller axis Propeller Noise propellers with advanced quadrupole radiation vector regula falsi roots of equation scheme sound pressure level source position spectra speed of sound SR-3 blade designs undisturbed medium upper and lower wave equation X3-axis