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5. Determination of the most effective relation between
flying altitude h and triangulation distance S
We assume that an aerial triangulation is to be performed between
control points at a distance of S. The most suitable flying altitude
shall first be determined. It is evident that too low an altitude will
require too many photographs and models to cover the distance S and
that consequently the error accumulation in the triangulation procedure
will become unfavourable. On the other hand, flying at too high an
altitude will give too small a scale in the photographs and consequently
too strong an enlargement of the inevitable errors in the photographs
and measurements.
There must evidently exist a certain flying altitude which will allow
the aerial triangulation to be performed with a maximum of accuracy
or a minimum of the standard errors of the final coordinates.
Here we will determine the relation between flying altitude and
triangulation distance which makes the radial standard error of the
n
coordinates in the middle of the strip | p =] a minimum. We will
distinguish between the three different types of aerial triangulation
which were treated above.
5.1. Stereo-radial triangulation
n
For p = - we find from (351)
h / n ; :
m, — 8. — [54 (6 n? + 132) (354)
For the triangulation distance S and the average base length b the
number of bases n will become approximately
S
n (355)
b
Further, for the base-height ratio ó we have the relation
b = h (356)
Consequently from (356) and (355)
357
" hô ( 7)
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