491 
(10 a) 
Hy 
B 
H B 
T) [x2 + ( T -y> ! 
2RH + x 2 + ( 
B 
y)‘ 
4. The indirect influence of the correction of earth-curvature. 
According to formula (9v) we have in point B/ 
B 
B 3 
B 3 
( dry ) 91 RH + B 2 2RH + B 2 
From this formula we obtain the following correction of <p 2 : 
4(dr v ) 91 • H 
d<p 2 
2 B 2 
2HB 
RH + B 2 
f 
2HB 
2RH + B 2 
(11) 
(12) 
From symmetry we find dw 2 = 0. The other elements of relative 
orientation causes first degree deformations. 
d<p 2 causes the following elevation-deformations: 
dH = — 
~H 2 + (y - 
B n 
-y) 2 
2HB 
2HB 
2 
RH + B 2 
2RH + B 2 
B 
J 
(13) 
5 The sum of those elevation-deformations, which can not be 
compensated by the absolute orientation. 
The terms of higher degree can be summarized as follows: 
a) The magnitude of the curvature of the earth: 
x 2 + y 2 
dH 
2 R 
(3) 
b) The direct influence of the correction: 
From formula (10 a) we obtain: 
H (8 x 2 y + 8 y 3 + 12 By 2 + 6 B 2 y + 4 Bx 2 + B 3 ) 
dH = — 
+ 
+ 
(10 b) 
2 B (8 RH + 4 x 2 + 4 y 2 + B 2 + By) 
H (4 Bx 2 + B 3 — 6 B 2 y + 12 By 2 — 8 x 2 y — 8 y 3 ) 
2 B (8 RH + 4 x 2 + 4 y 2 + B 2 — 4 By) 
In the denominators 8RH will predominate. Beacuse of that the 
other terms can be neglected. From (10 b) we then obtain the 
following terms of higher degree: 
x 2 . 3 y 2 
dH = 2R + (1 ° C)