## A shock wave analysis of thunder |

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800 microbars amplitude axis analysis of thunder Arabadzhi atmospheric pressure conclusions CORNELL UNIVERSITY dt iwt energy input energy is instantaneously evaluated following section fourth degree terms frequency spectrum function gas constant high frequencies integration constant iwt e dt iwt P iwt joules per meter line source linear small signal linear theory Master of Science microseconds non-linear analysis observation distance observational studies peak pressure excursions physically realizable power spectrum predict a condensation pressure observed pressure versus pressure wave Prom rarefactive maximum reached the observer relation between TJ retain the non-linear Rewriting scaling factor Schmidt Section 3»2 shock front SHOCK WAVE ANALYSIS shock wave system Si(wT simplify solution Solving spectral peak spectrum analysis speed of sound square brackets studies of thunder Substituting t(t+ thesis typical lightning stroke typical value undisturbed value unit length variable velocity of propagation versus time curve wave of thunder