Full text: Commissions I and II (Part 4)

  
  
  
  
  
  
  
  
  
   
     
    
   
    
  
  
   
   
   
    
    
     
     
     
   
   
   
   
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Then the residual parallaxes are assumed to be caused by translations 
  
dx , dy, a rotation da of one of the grids and the errors of the measure- 
ments. The measured parallaxes dx and dy can consequently be expressed 
  
in accordance with parts of (3) and (4) above or in formulae as working 
correction equations according to (5) and (6) 
< 
H 
dx, - ydo - dx (7) 
Vv 
4 dy + xda - dy (8) 
We apply (7) and (8) to the 25 points of Fig.2 and find immediately the 
normal equations, from which dx, dy and da are determined under the 
condition that [v v ] * [v v ] = minimum. 
x x y y 
H 
e 
25 dx - [dx] 
o 
  
25 dy, - [dy] 
Il 
© 
2 | 
100a" do - aN 3 = 0 
  
The solution is | 
dx [dx] 
o 25 
Nass 
da. | = To 
N,53 is identical with the expression which was demonstrated above 
under 1.3. The weight numbers are 
1 
Q, x 3/78 
oo 
Quo o 
YoYo 
gy x of) ngoud d 
o 10Ca 
Further 
2 2 NA 
[vv] = [dx^] + [dy^] i - 100 
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