Effective electron moliere radius as a function of total electron number:
Re = 73.9149 - 16.8929 log Ne + 1.40443 (log Ne)^2
Change in Re(theta)/Re(0) with sec(theta):
dk/dsec(theta) = 74.1192 - 68.2018 log Ne + 23.0089 (log Ne)^2 - 3.37267 (log Ne)^3 + 0.182110 (log Ne)^4
Age parameter s for muons as a function of truncated muon number:
s(rm=420) = 1.70844 - 0.0944056 log Nm
Age parameter s for muons as a function of secant theta:
s(rm=420) = 0.862176 + 0.452747 sec(theta)
Combined: s = 1.330856 - 0.0944056 (log Nm - 4) + 0.452747 (sec(theta-15))
Particle number as a function of energy, from:
Electron number as a function of energy, QGSJet:
QGSJet: logNe = -2.89080 + 1.22251 log (E/GeV)
Electron number as a function of energy, Sibyll:
Sibyll: logNe = -3.09480 + 1.27513 log (E/GeV)
Muon number as a function of energy, QGSJet:
QGSJet: logNm = -1.88274 + 0.908129 log (E/GeV)
Muon number as a function of energy, Sibyll
Sibyll: logNm = -1.86330 + 0.897224 log (E/GeV)
KASCADE LDF, to 1000m, for log E = 5 + . 25i GeV
KASCADE LDF, to 250m, for log E = 5 + .25i GeV
KASCADE electron LDF, to 1000m, for log Ne = 4.1 + .4i
KASCADE electron LDF, to 200m, for log Ne = 4.1 + .4i
Compare: