437
1
The weight coefficients are:
Ü a 0 a 0
Q m a m a
n
4
[(n + l-2i)2]
(31)
The influences or the linear systematic errors have been corrected
in accordance with the formulas (29) — (31). The results are given
in the following table.
0
Q
Strip
so =
= s 0
A8+hk
helm
a
s bdm a
s 0 hk
so =
= S D
A8+hk
bdm
a
s bdm tt
S Q hk
6010a
2.63 c
— 0.39 c
0.08 t:
i.97°
2.29 c
— 0.14 c
0.07°
2.00 c
6010b
2.99°
— 0.23 c
0.14 c
2.11 c
2.62 c
+ 0.29 c
0.12 c
1.30 c
6011
2.59 c
+ 0.38 c
0.28 c
2.27 c
1.65 c
+ 0.55 c
0.11 c
2.35 c
rms
2.75 c
0.34 c
0.16 c
2.08 c
2.41 c
0.31 c
0.10 c
2.02 c
Three dm«-values of six deviate signifioantly from zero and all are
greater than their standard errors. Thus there are systematic errors.
In this case it seems to be proable that the reason is the systematic
elevation variations of the horizon. The accuracy is after the adjust
ment 2.05 c as the mean square value of all the values. It corresponds
to 0.027 mm in the image coordinates. The theoretically estimated
value 1.8 C does not deviate significantly from the obtained values
according to the F-distribution on the 2.5 per cent level. The diffe
rences have been tested using the chi 2 -test (see histogram 2) and
they are well normally distributed.
Summary.
The accuracy and the precision of the horizon camera were investig
ated by means of three strips, which were photographed in Northern
Finland at a height of 4 500 in. Panchromatic film and infrafilter (670
m/x) were used in the horizon camera. The differences in inclinations
between a horizon image and other images in the strip were determined
by stereoscopical measurements. The root mean square value of all the
standard deviations of a measured inclination angle was l. c 9 (centesi
mal minutes) which were determined by means of two or three repeat
ed measurements. The inclinations from the horizon pictures were
compared with those from double point resections in the autograph