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E
2
A,B
, conformal coordinates generated by the universal transverse
Mercator projection, solution of the boundary value problem, departing point Stuttgart, arrival point Karlsruhe,
time given for constant speed movement (70km/h) with respect to the arrival point
Fig. E.5.
Maupertuis gauged geodesic on
1
(
q
1
)
2
+(
q
2
)
2
,
(E.70)
A
2
cos
2
f
−
1
(
q
1
)
2
+(
q
2
)
2
1
d
s
2
=
e
2
sin
2
f
−
1
(
q
1
)
2
+(
q
2
)
2
(
q
1
)
2
+(
q
2
)
2
[(d
q
1
)
2
+(d
q
2
)
2
]
.
(E.71)
1
−
(
λ
(
q
1
,q
2
) from series inversion of
q
1
(
Λ, Φ
)and
q
2
(
Λ, Φ
) leading to
Λ
(
q
1
,q
2
)and
Φ
(
q
1
,q
2
)
.
See
Snyder
(
1987a
,
p
.
162)
.
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