Geography Reference
In-Depth Information
Tab l e 3 . 1
First design: compare with Sect.
3-31
Oblique frame,
P = Stuttgart
(
λ
=9
◦
11
24
,
φ
=47
◦
46
48
)
meta-North Pole = Rio de Janeiro
Direct problem ((
3.51
)/(
3.53
)).
(
λ
0
=
−
43
◦
12
,φ
0
=
−
22
◦
54
36
).
⇒
α
= 147
◦
41
30
.
5
,
β
=5
◦
07
56
.
2.
α
=
30
◦
,β
=
20
◦
−
−
Indirect problem ((
3.59
)/(
3.61
)).
⇒
λ
= 173
◦
26
06
.
3
,
φ
=
38
◦
03
29
.
1
.
−
Transverse frame,
P = Greenwich
(
λ
=0
◦
,
φ
=51
◦
28
38
)
meta-North Pole = West Pole
Direct problem ((
3.51
)/(
3.53
)).
(
λ
0
= 270
◦
,φ
0
=0
◦
.).
⇒
α
= 141
◦
28
38
,β
=0
◦
.
α
=
−
30
◦
,
β
=
−
20
◦
Indirect problem ((
3.59
)/(
3.61
)).
⇒
λ
= 143
◦
56
51
.
4,
φ
=
54
◦
28
07
.
1.
−
Tab l e 3 . 2
Second design: compare with Sect.
3-32
Meta-equator:
P = Stuttgart
inclination
I
=13
◦
24
36
,
(
λ
=9
◦
11
24
,
φ
=47
◦
46
48
)
Direct problem ((
3.75
)/(
3.77
)).
longitude of the ascending node
⇒
Ω
=52
◦
28
12
.
29
◦
27
49
.
7,
B
=55
◦
48
51
.
1.
A
=
A
=
−
30
◦
,
B
=
20
◦
−
−
Indirect problem ((
3.81
)/(
3.82
)).
⇒
λ
=27
◦
34
19
.
6
,
φ
=
−
47
◦
46
48
.
Transverse frame, meta-equator:
P = Greenwich
inclination
I
=90
◦
,
(
λ
=0
◦
,
φ
=51
◦
28
38
)
Direct problem ((
3.75
)/(
3.77
)).
longitude of the ascending node
⇒
Ω
=0
◦
.
A
=51
◦
28
38
,
B
=0
◦
.
A
=
30
◦
,
B
=
20
◦
−
−
Indirect problem ((
3.81
)/(
3.82
)).
⇒
λ
=22
◦
47
45
.
2,
φ
=
51
◦
28
38
.
−
3-4 The Oblique Frame of Reference of the Ellipsoid-of-Revolution
The oblique frame of reference of the ellipsoid-of-revolution (one Killing vector), transverse
aspect, direct transformation, indirect transformation, oblique quasi-spherical coordinates,
quasi-spherical longitude, quasi-spherical latitude.
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