Possible estimation of atmospheric Cherenkov light parameters

Mathematics – Logic

Scientific paper

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Meteorological Parameters, Cosmic Ray Showers, Spectrometers, Distribution Functions, Energy Spectra, Mathematical Models, Spatial Distribution, Radial Distribution, Primary Cosmic Rays

Scientific paper

A method for analysis of extensive air showers initiated by primary gamma quanta of primary protons and nuclei in the atmosphere is presented. The method is based on measuring of Cherenkov light distribution in showers. A new approximation of the lateral and radial distributions is obtained on the basis of a nonlinear overdetermined inverse problem solution. The concrete mathematical model is created by analysis of recent measurements carried out by the Cherenkov wide angle timing telescope HOTOVO. The model is tested on simulated data obtained with the code CORSIKA. The method is applied to different sets of detectors of CELESTE array. A new detector array for optimal estimation of Cherenkov flux parameters is proposed.

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