l ; ; 
X f :coordinates of the known points as determined in the free adjustment 
1 
(X, will be forced to the known values in the second step) 
x sother URNA. 
The other unknowns x. consist of a combination of the coordinates of the other 
points and nuisance parameters such as orientations and scalefactors in the terres- 
trial network or the transformation parameters of the independant models in 
photogrammetric blocks. Generally, one is only interested in coordinates. Thus, 
after the adjustment, the part corresponding to the nuisance parameters in X f 
can simply be neglected. 
From the normal equations: 
x, 
1 = (A, A^) e (2.1) 
f 
it follows, with the weight matrix P for the observations I: 
11 12 T: 
Qu tds EM Parif ene) (2.2) 
a21 q?? | A 
2 
11-12 341-123 7 
G Q Q 
G, "| f e is (2.3) 
21 a2? o?! a^? 
f f 
1 11 12 T 
x, = Xedssd On Or A li Pl (2.4) 
2 21 22 T 
Xe G. G. A, 
With a view on the comparison of the variance covariance matrix Ge of the free 
coordinates with the variance covariance matrix Gg of the constrained 
coordinates later on, Gg is written in an orthogonalized way: 
«1 
Il .12 11 11 12 
0 I © G 
Se Cp Lot 8 Gr | t Ct A «5 
21, 22 21 11° EL 
0 G 0 I 
f G, tr ! f 
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