Where A is the distance between the centres of the secti
ons of surface in the horizontal plane - step along the pro
file •
In the same way the heights along the axis Y are deter
mine do
To minimize the effect of random errors it is expedient
that the mean value
do
be taken as a digital model.
All the elements of the matrix
to the value of the first element,
element is unknown in advance,it is
are determined relative
If the height of the first
considered to be equal to
zero.
such
The relative heights (first approximation) obtained in
a way shall bear errors due to the fact that we assumed
the illumination intensity caused only by the direct light
(formulae 1 and 2) to be the total intensity of surface illu
mination* But,as was mentioned above,the brightness of the
surface is the result of the direct sun illumination and the
radiation diffsed by the atmosphere and reflected by the sur
rounding elements of the terrain. The problem is to determine
the contribution of the diffused and reflected radiation to
the total illumination intensity*
The total illumination intensity of the element of terra
in is equal to
+ E d + E R (12)
where Eri is the direct sun radiation ; £ o is the radiati
on diffused by the atmosphere and is radiation reflected
from neighbouring slopes.
The flux of direct radiation is determined from the formu-
la
- X m_Q
= E 0 ■ e cos (n ■ l)
whereto is the spectral sun constant, T
thickness of the atmosphere along the normal
(13)
is the optical
to the Earth