Geography Reference
In-Depth Information
tan(
L
−
Ω
)=0
⇒
(16.79)
L
=
Ω,
tan
B
=tan
α/
√
1
− E
2
,
(16.80)
s
1
(
α
)=
A
1
√
1
A
1
E
2
sin
α
cos
α
√
1
E
2
cos
2
α, s
2
(
α
)=
1
−
E
2
cos
2
α
,
(16.81)
2
−
l
1
=0
,l
2
=0
, ...,
(16.82)
d
α
(
α
0
)=
√
1
b
1
=
d
B
E
2
cos
2
α
0
)=
cos
2
B
0
E
2
)
√
1
−
E
2
/
(1
−
E
2
[1 + (1
−
−
tan
2
B
0
]
,b
2
=
···
.
(16.83)
The oblique Mercator projection is particularly well suited for long and narrow countries. As
an example, Fig.
16.5
shows the HOM of Italy. Note that
i
and
Ω
of the intersecting ellipse (which
appears in the map as
x
axis) were fitted to the location of this country.
E
2
A
1
,A
2
. Inclination
i
= 125
.
02
◦
, right ascension of the ascending node
Fig. 16.5.
Oblique Mercator projection of
Ω
=53
.
01
◦
We close this chapter on the rectified skew orthomorphic projection or HOM by referring to
Bretterbauer
(
1980
),
Cole
(
1943
),
Grafarend
(
1995
),
Grafarend and Syffus
(
1995
), and
Engels and
Grafarend
(
1995
).
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