Geography Reference
In-Depth Information
S
2
R
, conformal coordinates generated by the universal Lambert pro-
jection, solution of the boundary value problem, departing point Frankfurt, arrival point Taipeh, time given for
constant speed movement with respect to the arrival point
Fig. E.4.
Maupertuis gauged geodesic on
n
n
sin arctan
1
c
(
q
1
)
2
+(
q
2
)
2
1
/n
Φ
2
)
tan(
4
−
λ
=
cos
Φ
cos
Φ
0
=
1
,
(E.55)
tan(
4
−
Φ
2
)
n
2
sin
2
arctan
1
c
(
q
1
)
2
+(
q
2
)
2
1
/n
1
d
s
2
=
[(d
q
1
)
2
+(d
q
2
)
2
]
.
(E.56)
Variant two (UC). Equidistant map of two parallel circles
Φ
1
/Φ
2
(Lambert conformal projection):
ln
cos
Φ
1
cos
Φ
2
ln
tan
(
4
−
Φ
2
)
R
cos
Φ
1
n
tan(
4
−
Φ
2
)
n
,
n
=
,c
=
(E.57)
tan
(
4
−
Φ
2
)
n
tan
4
−
Φ
2
n
sin arctan
1
c
(
q
1
)
2
+(
q
2
)
2
1
/n
λ
=
cos
Φ
cos
Φ
2
=
1
tan
4
−
2
,
(E.58)
Φ
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