Geography Reference
In-Depth Information
=
1 −E cos Δ E/ 2 tan 2 n ,
α
r
c 1+ E cos Δ
(19.16)
=
2 n ,
α
r
c 1+ E sin Φ
1 −E sin Φ E/ 2 tan 4
(19.17)
Φ
1+ E sin Φ
1
n
E/ 2
tan π
cn
N sin Δ
Φ
2
Λ 1 = Λ 2 =
4
.
(19.18)
E sin Φ
We here distinguish between two cases.
Δ =0: r = f (0)
(the central point is mapped to a point)
and
Δ = π/ 2: r = f ( π/ 2) = c
(the parallel circle-of-reference Δ = π/ 2or Φ = 0 is mapped to a circle of radius c ) .
There are two variants of conformal mappings.
19-221 Conformal Mapping: The Variant of Type Equidistant on the Parallel Circle-of-Reference
We first consider the variant of type equidistant on the parallel circle-of-reference .Inthiscontext,
let us fix the projection constant n by
n := sin Φ 0 =cos Δ 0 .
(19.19)
The radius of the parallel circle p is computed as follows.
Input :
X 2 + Y 2
A 1
+ Z 2
A 2 = 1
(19.20)
(equation of the ellipsoid-of-revolution) .
Output :
 
Search WWH ::




Custom Search