Geography Reference
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y 00 3
+ y 30 x
3
+ y 21 x
2 y
ρ
y 00 + y 12 x
y
ρ
y 00 2
+ y 03 y
ρ
ρ
ρ
ρ
+O(4) .
Box 21.26 (The polynomial coecients, the East components, namely x mn , the datum trans-
formation of conformal coordinates).
x 00 = U 00 ,
x 10 = U 10 l 10 ,
x 01 = U 01 b 01 ,
x 20 = U 01 b 20 + U 20 l 10 ,
x 11 = U 10 l 11 + U 11 l 10 b 01 , x 02 = U 01 b 02 + U 02 b 01 ,
(21.83)
x 30 = U 10 l 30 + U 11 l 10 b 20 + U 30 l 10 ,
x 21 = U 01 b 21 +2 U 20 l 10 l 11 +2 U 02 b 01 b 20 + U 21 b 01 l 10 ,
x 12 = U 10 l 12 + U 11 ( l 10 b 02 + l 11 b 01 )+ U 12 l 10 b 01 ,
x 03 = U 01 b 03 +2 U 02 b 01 b 02 + U 03 b 01 .
Box 21.27 (The polynomial coecients, the North components, namely y mn , the datum
transformation of conformal coordinates).
y 00 = V 00 ,
y 10 = V 10 l 10 .
y 01 = V 01 b 01 .
y 20 = V 01 b 20 + V 20 l 10 ,
y 11 = V 10 l 11 + V 11 l 10 b 01 , y 02 = V 01 b 02 + V 02 b 01 ,
(21.84)
y 30 = V 10 l 30 + V 11 l 10 b 20 + V 30 l 10 ,
y 21 = V 01 b 21 +2 V 20 l 10 l 11 +2 V 02 b 01 b 20 + V 21 b 01 l 10 ,
y 12 = V 10 l 12 + V 11 ( l 10 b 02 + l 11 b 01 )+ V 12 l 10 b 01 ,
y 03 = V 01 b 03 +2 V 02 b 01 b 02 + V 03 b 01 .
 
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