Geography Reference
In-Depth Information
{
L
0
=
L
P
0
,B
0
=
B
P
0
,s
=
x
c
=
y, α
0
=
α
0
F
=
π/
2
}
,
(20.123)
{
L
F
,B
F
,α
F
0
=
α
0
F
}
,
(20.124)
{
L
0
=
L
F
,B
0
=
B
F
,s
=
y
c
=
x, α
0
=
α
FP
=0
}
,
(20.125)
{
L
=
L
P
,B
=
B
P
,γ
=
α
PF
}
.
(20.126)
A numerical example is given in Table
20.2
.
Table 20.2
First problem of Soldner coordinates: input
{
L
0
,B
0
,x,y
}
versus output
{
L,B,γ
=
α
PF
}
Reference ellipsoid, Bessel:
A
1
= 6 377397.155 m,
E
2
= 0.00667437220.
Soldner origin, Tubingen observatory:
B
0
=48
◦
31
15”.7234 N,
L
0
=9
◦
3
7”.1445 E.
Soldner coordinates:
y
= 29682.228 m,
x
= 2469.517 m.
Ellipsoidal coordinates, footpoint
P
F
:
B
F
=48
◦
47
16”.7410,
L
F
=9
◦
3
7”.1445.
Ellipsoidal coordinates, point
P
:
B
=
B
P
=48
◦
47
16”.7234,
L
=
L
P
=9
◦
5
8”.1450.
Fig. 20.5.
Soldner coordinates as elements of an ellipsoid-of-revolution.
y
= const. (1),
x
= const. (2)
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