111
The symbols on the left side of the equations have the following definitions:
[dx] = doy; + dogs + dagg + day, + dag, (19)
[dy] — dy,, * dy,s + dyzz + dys, + dys (20)
Ng, = — dyız — dyı5s + dy, t dy; — dz,, + days — das, + dugg (21)
Nyy = — dY11 t dy,g — dg, t dygy - dz,, F dz, — da, — dag (22)
Ng; — + dY11 — dijs — dyg, t dygg + dogg + dogg + day, + day, (23)
Ng, = + dyyy + dys + dys, + dys + doy — dogg — dag, + digg (24)
The solution of the normal equations gives the corrections of the elements of orientation:
[dæ] (202+/2) — 4a? 4 5f2
a ia TN USO 5
[dy] (2a? 4- f?) da? + sf?
ET Nr go
f
dz, = — Ny; 5 en
f
dx = — Ny, Sah (28)
[dx] BNSV f
dp = (t TR Lait. 29)
/
T [dy] T
unu utm G9
Hence, all corrections of the elements of orientation are expressed as direct functions
of the measured coordinate errors dx and dy.
After developing the expressions (25)—(30) according to the definitions (19) — (24)
and applying the special law of error propagation we obtain the weight numbers as the
square sum of the coefficients of dx and dy:
8at + 5f4 + 8a2f2
QS, mean Ere (31)
f2
Qn T ET (32)
f?
Vn = Saiz G9)
5f4
Qo» m Qoo: dalli (34)
The correlation numbers are obtained as the product sums of the coefficients of
corresponding errors dx and dy:
P
Qu» =Q a Anh (5f? + 4a2) (35)