Geography Reference
In-Depth Information
S
r
Fig. J.3.
Projective heights in geometry space, minimal distance mapping with respect to a reference sphere
, spherical heights
h
S
(length of the geodesic from
X
∈
T
2
to
x
∈
S
r
)
Let us calculate the projection heights in geometry space, in detail, the minimal distance with
respect to a reference surface of type (i) plane
2
, (ii) sphere
r
, (iii) ellipsoid-of-revolution
A
1
,A
2
P
S
E
,
A
1
,A
2
,A
3
and (iv) triaxial ellipsoid
E
in Box
J.2
.
Fig. J.4.
Projective heights in geometry space, minimal distance mapping with respect to a reference triaxial
ellipsoid
E
2
A
1
,A
2
,A
3
or a reference ellipsoid-of-revolution
E
2
A
1
,A
2
, ellipsoidal heights
h
E
(length of the geodesic from
∈
T
2
to
x
∈
E
2
A
1
,A
2
or
E
2
A
1
,A
2
,A
3
)
X
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