338 15 “Ellipsoid-of-revolution to cylinder”: transverse aspect
6°
6°
12°
12°
9°
15°
15°
54°
9°
1.5° 1.5°
2
3
5
6
1
54°
Fig. 15.10. Mapping of the transverse Mercator projection, meridian strip system of Germany, strip width
±1.5
◦ , Gauss–Krueger coordinates.
Important!
West and East of the reference meridian, we choose a strip of ±1.5
◦ in longitude for a
Gauss–Krueger strip system, for instance, according to Example 15.5 and Example 15.6 in
the strips 6
◦ , 9
◦ , and 12
◦ for Germany. In contrast, ETRS 89 is given in UTM coordinates
requiring a strip of ±3
◦ width, a 6
◦ wide strip reference system.
In order to avoid negative coordinates which are located West of the reference meridian and not to
lose reference to the reference meridian, Easting coordinates as well as Northing coordinates of the
Gauss–Krueger strip system are to changed in the following way.
Important!
(i) x: add 10
6 times the meridian number L 0 /3
◦ , (ii) x: add the number 500000 m, and (iii)
y: define y 0 + y(l, b) as the number reflecting the distance of a point from the equator. y 0 is
the length of the meridian arc from the equator to the ellipsoidal latitude B 0 .