new method for reconstruction of primary particle parameters from observation of fluorescence and Cherenkov light emitted by the shower can be worked out. To predict fluorescence emission it is enough to know electron lateral distributions for various energies; the angular distributions are irrelevant since this light is emitted isotropically. But to predict exactly the Cherenkov emission the angular distribution as a function of the electron lateral distance and energy must be known, particularly for showers observed from small distances. It is only in this paper that a description of the full electron state has been undertaken.

General considerations
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The state of electrons in a shower is uniquely determined by the numbers $\Delta N(\theta,\varphi, r/r_M, E,s)$ given for all possibly occupied regions of the five variables. Each $\Delta N$ is the number of electrons with angles to the shower axis $(\theta, \theta +\Delta\theta)$, with azimuth angle $(\varphi, \varphi +\Delta\varphi)$ around the axis parallel to that of the shower, drawn at the position of the electron which is at a lateral distance to the axis ($ r/r_M, r/r_M+\Delta r/r_M,$), with energy ($ E,  E+\Delta E,$) and at a shower age $s$. The Moliere radius at a given height in the atmosphere 