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The simulation of Cherenkov photon's lateral density and arrival timedistributions in Extensive Air Showers (EASs) was performed with the CORSIKAcode in the energy range: 100 GeV to 100 TeV. On the basis of this simulationwe obtained a set of approximating functions for the primary $\gamma$-rayphotons, protons and iron nuclei incident at zenith angles from 0$^\circ$ to40$^\circ$ over different altitudes of observation. Such a parameterisation isimportant for the primary particle identification, for the reconstruction ofthe shower observables and hence for a more efficient disentanglement of the$\gamma$-ray showers from the hadronic showers. From our parameterisationanalysis, we have found that even though the geometry of the lateral density($\rho_{ch}$) and the arrival time ($t_{ch}$) distributions is different fordifferent primaries at a particular energy ($E$), at a particular incidentangle ($\theta$) and at a particular altitude of observation ($H$) up to agiven distance from the showe core ($R$), the distributions follow the samemathematical functions $\rho(E,R,\theta,H) = a E^{b}\exp[-\{c R + (\theta/d)^{2}-f H\}]$ and $t(E,R,\theta,H) = l E^{-m}\exp(n/R^{p})({\theta}^q+s)(u{H}^2+v)$ respectively but with different values of function parameters.

Parameterisation of lateral density and arrival time distributions of  Cherenkov photons in EASs as functions of independent shower parameters for  different primaries