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In-Depth Information
E , N X
B , L
UTM-Koordinaten
Geographische Koordinaten
B
=
B F
+
(2) y 2
+
(4) y 4
+
(6) y 6
( 1 ) y
( 3 ) y 3
( 5 ) y 5
L
=
L 0
+
+
+
mit:
y
=
E
E 0
L 0
+
3
( Zone
0, 5 ) 10 6
E 0
=
+
30, 5 10 6
oder
E 0
=
+
6
( Zone
30 ) 6
L 0
=
3
B F
=
"
+
F 2 sin 2"
+
F 4 sin 4"
+
F 6 sin 6"
N
m G 0
"
=
m
=
0,9996
wobei gilt:
Internationales Ellipsoid
GRS80-Ellipsoid
G 0
111 136,536655 m/°
111 132,952547 m/°
F 2
0,144 930 079°
0,144 318 142°
F 4
0,000 213 843°
0,000 212 041°
F 6
0,000 000 437°
0,000 000 431°
!
2 m 2 N F 2 t F ( 1
180
( 2 )
2 )
=
+
!
=
!
24 m 4 N F 4 t F ( 5
c
3 t 2
6 2 ( 1
t 2 ))
(4)
+
+
=
N F
=
2
1
+
!
720 m 6 N F
( 6 )
6 t F (61
+
90 t 2
+
45 t 4 )
=
t F
=
tan B F
!
m N F cos B F
a 2
b
(1)
c
=
=
!
6 m 3 N F 3 cos B F
( 3 )
( 1
2 )
=
+
2 t 2
+
!
120 m 5 N F 5 cos B F
( 5
28 t 2
24 t 4 )
(5)
+
+
=
a 2
b 2
2
=
b 2 cos 2 B F
Internationales-Ellipsoid
GRS80-Ellipsoid
a
6 378 388,000 m
6 378 137,00 m
b
6 356 911,946 m
6 356 752,314 m
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