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 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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