Geography Reference
In-Depth Information
Second meridan strip (scale factor 0.999578).
x 2 (UTM) = 265 , 448 . 926 m ,y 2 (UTM) = 5 , 678 , 805 . 917 m .
Easting: 765,448.926m, Northing: 5,678,805.917m, zone 31.
The point 1 is located 265 , 448 . 926 m East of the ref-
erence meridian of the zone 31, that is L 0 =3 and
5 , 678 , 805 . 917 m North of the equator .
End of Example.
The summary concerning the Gauss-Krueger coordinates is presented in Box 15.6 , the summary
concerning the UTM coordinates is presented in Box 15.7 , and a comparison is shown in Box 15.8 .
Box 15.6 (Summary: Gauss-Krueger coordinates).
(1)
Choose {L 0 ,B 0 } such that |l| = |L − L 0 | <l max =2 ,
|b| = |B − B 0 | < 1 , and L 0 multiple of 3 .
False Easting : x ( l,b )+ L 0
10 6 +5
10 5 , Northing : y 0 + y ( l, b ) .
3 ×
×
y 0 is the length of meridian from the equator to the latitude point
B 0 : B 0 = B is permitted.
(2)
Choose {L, B} out of { False Easting, Northing }.
Choose y 0 such that
|
y
|
=
|
Northing
y 0 |
< 100 km and
|x| = | False Easting 10 6
× meridian number 5 × 10 5
| <l max
×R 0 × cos B/ρ,
ρ := 180 0 /π, R 0 =6 , 380 , 000 m .
Longitude : L = L 0 + l ( x, y ) , latitude : B = B 0 + b ( x, y ) .
B 0 is the latitude of the meridian arc y 0 ,y 0 = Northing is admissible ,
L 0 =3 × meridian number .
 
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