Appendix B 
COEFFICIENTS FOR OBSERVATION EQUATIONS 
(UV W) Air. Station 
(1) By definition - 
X= 
1.5 = YS cosh y = ET 
  
Z- 
PRACT 
Z'-W 
ye 1 
(XYZ) (X'Y'Z)) Ses = 6? 
  
2. Differentiating, 
Y+S * Y-6 -. Yócos0 « Yócos0 - Y4 sinoó 
ie dd = 1 Y*:$v - | «dY + 1.6 — 
7x3 [ps SP esses 
  
YàY 
4d«4) 
tte 
jo. 
Hog 
de Again differentiating, 
2Y«ó 2 Yó cosO0 « óYcos0 + 2Y4 cos0-6 (274 Sin042Yó sinO « Y6c0s66) - 
  
  
Y4sino8 
(Note:- Y 2 O tut Ys pp - Y 
. Y e. 
and $= ged = 4°) 
i.e d?8- YxàYy|*  |óxa4P $ 
= xs (Y.4) a [2X0 }-say.às- do 
YeY 4 [yx$] 
  
  
  
  
[[&-SP-2(x-x)(8-9) S 4 en - a 
  
4e Again differentiating, higher order terms may similarly be 
obtained. Note that all arithmetical operations are multiplications 
(vector products and scalar products) and divisions, with Just one 
square roots Y x $| 
  
5e To get a particular coefficient for the linear observation 
equations, one gives dY, dé, the appropriate values, e.g. 
(a) For 59, dy = (1,0,0) and ds = O 
ex T 
(b) For $8, dar = (0,-1,0) and ds = (0,-1,0)