ATS-6 NOAA Solid State Proton Experiment: mean energy of a finite energy passband
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ATS-6 NOAA Solid State Proton Experiment: mean energy of a finite energy passband

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    Mathematically the observed counting rate of a particle telescope is the integral over all positive energies of the product of the geometric factor, the passband efficiency as a function of incident particle energy, and the form of the sampled particle spectrum. Using the difference of two gaussian integrals to generate the measured detector efficiency profile and an experimentally verified form of the proton differential energy spectrum, predicted counting rates for selected channels of the ATS-6 NOAA Low Energy Proton Experiment have been computed, tabulated and graphed for a wide range of anticipated proton spectra slopes. Tables and graphs presented as a function of particle spectrum slope for each passband include not only the theoretical detector response but counting rate ratios of adjacent energy windows and the spectrum-slope-weighted mean energies, . From these three quantities proton spectra consisting of (x,y) coordinate pairs of the form [, j0 exp(-/E0)] are constructed from observed counting rates to yield a profile more accurately reflecting the trend of the underlying particle spectrum.
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