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=
−
tan
b
sin
l
(1
− e
2
)
/p
+
h
tan
b
sin
l
(1
− e
2
− p
)
/
(
np
2
)+O(
h
2
)
,
s
16
=
=(
n
+
h
)
/
(
pn
+
h
)=1
/p
+
h
(
p
1)
/
(
p
2
n
)+O(
h
2
)
.
−
s
26
=0
,
s
20
=
cos
b
sin
b
(
qE
2
e
2
)
n/
(
qm
+
h
)=
=
−
−
cos
b
sin
b
(
qE
2
e
2
)
n/qm
+
h
cos
b
sin
b
(
qE
2
e
2
)
n/
(
qm
)
2
+O(
h
2
)
,
=
−
−
−
s
21
=
=sin
b
cos
l/
(
qm
+
h
)=
=sin
b
cos
l/
(
qm
)
h
sin
b
cos
l/
(
qm
)
2
+O(
h
2
)
,
−
s
22
=
=sin
b
sin
l/
(
qm
+
h
)=
=sin
b
sin
l/
(
qm
)
h
sin
b
sin
l/
(
qm
)
2
+O(
h
2
)
,
s
23
=
−
=
−
cos
b/
(
qm
+
h
) =
(21.69)
cos
b/
(
qm
)+
h
cos
b/
(
qm
)
2
+O(
h
2
)
,
s
24
=
=+sin
l
(
a
1
+
hn
)
/
[
n
(
qm
+
h
)] =
=+
a
1
sin
l/
(
nqm
)+
h
sin
l
(
nqm − a
1
)
/
(
nq
2
m
2
)+O(
h
2
)
,
s
25
=
=
−
cos
l
(
a
1
+
hn
)
/
[
n
(
qm
+
h
)] =
=
−
a
1
cos
l/
(
nqm
)
a
1
)
/
(
nq
2
m
2
)+O(
h
2
)
,
=
−
−
h
cos
l
(
nqm
−
s
27
=
=
e
2
sin
b
cos
bn/
(
qm
+
h
)=
=
e
2
sin
b
cos
bn/
(
qm
)
− he
2
sin
b
cos
bn/
(
qm
)
2
+O(
h
2
)
.
As soon as we implement the curvilinear datum transformation close to the identity (
21.67
)
into the global representation (
21.66
) of conformal coordinates, we are led to the first version of
global conformal coordinates (
21.70
)ofBox
21.14
in terms of local ellipsoidal coordinates: see
Boxes
21.15
and
21.16
. Note that the coe
cients
{U
MN
,V
MN
}
in Boxes
21.15
and
21.16
depend
on the coecients
{X
MN
,Y
MN
}
which, in turn, are given in terms of the parameters
A
1
,E
2
,B
0
.
Accordingly, all the coecients are transformed under the change of the form parameter
E
2
from the global system of reference to the local one. The evaluation points
l
0
,b
0
}
have been chosen to be identical in order to conserve the meridians-of-reference in both reference
systems as well as the parallel-of-reference. Box
21.17
is a collection of Taylor expansions of order
one of conformal series coecients under a variation of form parameter
δE
2
listed separately
{
L
0
,B
0
}
and
{
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