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insolation <-
function(zenith,jd,height,visibility,RH,tempK,O3,alphag) {
if (nargs() < 8 ) { cat("USAGE: insolation(zenith,jd,height,visibility,RH,tempK,O3,alphag)"); return() }
if (min(tempK,na.rm=TRUE) < 153) { print("temperature should be in Kelvin"); return() }
Isc = 1361.8 # solar constant (Wm^(-2)) (1)
# zenith[zenith>90] = 90
theta = radians(zenith)
ssctalb = 0.9 # single scattering albedo (aerosols)(Iqbal, 1983)
Fc = 0.84 # ratio of forward to total energy scattered (Iqbal, 1983)
Pz = z2p(height)
Mr = 1.0/(cos(theta)+0.15*((93.885-zenith)^(-1.253)))
Ma = Mr*Pz/1013.25
# #** Use Lowe(1977) Lowes polynomials for vapor pressure
wvap_s = wvapsat(tempK)
# #Wprec = 0.493*(RH/100.0)*wvap_s/tempK #precipitable water in cm Leckner (1978)
Wprec = 46.5*(RH/100.0)*wvap_s/tempK #Prata 1996
rho2 = (1/sunr(jd))^2
TauR = exp((-.09030*(Ma^0.84) )*(1.0+Ma-(Ma^1.01)) )
TauO = 1.0-( ( 0.1611*(O3*Mr)*(1.0+139.48*(O3*Mr))^(-0.3035) ) -
0.002715*(O3*Mr)*( 1.0+0.044*(O3*Mr)+0.0003*(O3*Mr)^2 )^(-1))
TauG = exp(-0.0127*(Ma^0.26))
TauW = 1.0-2.4959*(Wprec*Mr)*( (1.0+79.034*(Wprec*Mr))^0.6828 +
6.385*(Wprec*Mr) )^(-1)
TauA = ( 0.97-1.265*(visibility^(-0.66)) )^(Ma^0.9) #Machler, 1983
TauTotal = TauR*TauO*TauG*TauW*TauA
In = 0.9751*rho2*Isc*TauTotal
tauaa = 1.0-(1.0-ssctalb)*(1.0-Ma+Ma^1.06)*(1.0-TauA)
Idr = 0.79*rho2*Isc*cos(theta)*TauO*TauG*TauW*tauaa*0.5*(1.0-TauR)/(1.0-Ma+Ma^(1.02))
tauas = (TauA)/tauaa
Ida = 0.79*rho2*Isc*cos(theta)*TauO*TauG*TauW*tauaa*Fc*(1.0-tauas)/(1.0-Ma+Ma^1.02)
alpha_atmos = 0.0685+(1.0-Fc)*(1.0-tauas)
Idm = (In*cos(theta)+Idr+Ida)*alphag*alpha_atmos/(1.0-alphag*alpha_atmos)
Id = Idr+Ida+Idm
In[zenith>90] = 0
Id[zenith>90] = 0
return(cbind(In,Id))
}
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