Geography Reference
In-Depth Information
S
2
R
, conformal coordinates generated by the universal Mercator 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.2.
Maupertuis gauged geodesic on
(ii) Universal Mercator Projection (UM):
q
1
=
RΛ, q
2
=
R
ln tan
π
=
R
artanh(sin
Φ
)
,
4
+
Φ
(E.44)
2
1
cosh
q
2
/R
,
λ
=cos
Φ
=
(E.45)
1
d
s
2
=
cosh
2
q
2
/R
[(d
q
1
)
2
+(d
q
2
)
2
]
(E.46)
(iii) Universal Transverse Mercator Projection (UTM):
tan
Φ
q
1
=
R
arctan
cos(
Λ − Λ
0
)
,
2
=
R
arctanh(
−
cos
Φ
sin(
Λ − Λ
0
))
,
(E.47)
λ
=cos[arcsin(
−
cos
Φ
sin(
Λ
−
Λ
0
))]
,
(E.48)
Search WWH ::
Custom Search