d in the 
atmosphere, 
fundamen- 
and reemit 
otal effect 
to some 
to correct 
rrection 
ir tempe- 
cing errors 
rrection 
mospheric 
ection. 
grees 
flight 
should be 
1t that a 
ric path 
t opacity 
ption by 
; the 
u spectral 
ecies 
ne trans- 
t a feu 
stant 
restricted 
able in 
al profiles 
d. 
equation 
phere, ue 
Y ag du 
QU 
-. 1299 - 
where the first term applies for the emitted radistion as influ- 
enced by the atmosphere and the second term accounts for the 
emission of the atmosphere for each u level, being d, the filter 
function, I(u) the radiance received by the instrument placed 
with optical depth u, By is the spectral radiance of the black- 
body at a wave number y given by Planck's lau: 
na AT). 
B8 (T) s av /exp(ba/T) - 1 (13) 
where a and b are constants; Zy(u) is the spectral transmissivit: 
of the atmosphere between u_ and u (u_ sea level, u flight Sls 
which can be evaluated as méntioned before, taking account of the 
water vapor content and of CO, concentration. 
2 
David and Viezee (19). roposed for the infrared broad window 
region (800 - 1200 cm" ) an empirical relationship for the spec- 
tral transmissivity which has been used in our work: 
Uy = exp (- (kyup) ^9) (14) 
where ky and a, are coefficients for each 25 en” interval deriv 
ed from experimental analysis; u is the precipitable water (9/c15 
and p is the ratio of in situ pressure to standard pressure; 
This formula was chosen for its simplicity in programming and 
because of the sucess reported by other authors (19) (20). 
Being our source of atmospheric data tenperature and relati 
ve humidity as a function of pressure a relation is needed to 
convert relacive humidity into precipitable water content for 
use in (14): ? 
w = 1/g : m(p) dp (15) 
4 
where m is the mixing ratio of water vapor, p is pressure and g 
is gravity. 
. By using the perfect gas laus, assuming hydrostatic equili- 
brium, and replacing temperature with virtual temperature, the 
Co, absorbers can be expressed as 
Pa 
1 + 1.609m 
«s 0,245] 2-2 dp (16) 
?4 1. + nm 
where & is the(atm-cm)_, of CO, in the air column between 
pressures p,.and p, (i "Pmillibárs) and m is as above. The assump 
tion has been madeé“that carbon dioxide is well mixed at 0.031% 
by volume. 
Figure # shows the relationship between the measured temperature 
and tne calculated temperature by using this atmospheric distur- 
bance accounting method. 
D) Reflection correction 
In order to obtain the skin temperature of the observed 
water body is necessary to include an error introduced by the