142 3 Coordinates
3-36 Numerical Examples
The following Table 3.1 and the following Table 3.2 show some selected examples of the two designs
to be considered here.
Table 3.1. First design: compare with Section 3-31.
Oblique frame,
meta-North Pole = Rio de Janeiro
(λ 0 = −43
◦ 12
, φ 0 = −22
◦ 54
36
).
Direct problem (3.51/3.53).
P = Stuttgart
(λ = 9
◦ 11
24
, φ = 47
◦ 46
48
)
⇒
α = 147
◦ 41
30
.5, β = 5
◦ 07
56
.2.
Indirect problem (3.59/3.61).
α = −30
◦ , β = −20
◦
⇒
λ = 173
◦ 26
06
.3,
φ = −38
◦ 03
29
.1.
Transverse frame,
meta-North Pole = West Pole
(λ 0 = 270
◦ , φ 0 = 0
◦ ).
Direct problem (3.51/3.53).
P = Greenwich
(λ = 0
◦ , φ = 51
◦ 28
38
)
⇒
α = 141
◦ 28
38
, β = 0
◦ .
Indirect problem (3.59/3.61).
α = −30
◦ , β = −20
◦
⇒
λ = 143
◦ 56
51
.4,
φ = −54
◦ 28
07
.1.
Table 3.2. Second design: compare with Section 3-32.
Meta-equator:
inclination I = 13
◦ 24
36
,
longitude of the ascending node
Ω = 52
◦ 28
12
.
Direct problem (3.75/3.77).
P = Stuttgart
(λ = 9
◦ 11
24
, φ = 47
◦ 46
48
)
⇒
A = −29
◦ 27
49
.7, B = 55
◦ 48
51
.1.
Indirect problem (3.81/3.82).
A = −30
◦ , B = −20
◦
⇒
λ = 27
◦ 34
19
.6,
φ = 47
◦ 46
48
.
Transverse frame, meta-equator:
inclination I = 90
◦ ,
longitude of the ascending node
Ω = 0
◦ .
Direct problem (3.75/3.77).
P = Greenwich
(λ = 0
◦ , φ = 51
◦ 28
38
)
⇒
A = 51
◦ 28
38
, B = 0
◦ .
Indirect problem (3.81/3.82).
A = −30
◦ , B = −20
◦
⇒
λ = 22
◦ 47
45
.2,
φ = 51
◦ 28
38
.