Geography Reference
In-Depth Information
D
=
D
(
A, B
):=cos
A
cos
B
cos
Ω
−
sin
A
cos
B
sin
Ω
cos
I
+sin
B
sin
Ω
sin
I
;
N
,A
=
−
cos
A
sin
B
cos
B
sin
I,
sin
A
cos
2
B
sin
I
+sin
A
sin
2
B
sin
I,
N
,B
=
−
2sin
B
cos
B
−
(3.150)
M
,A
=
−
sin
A
sin
I, M,
B
=0
,
N
,AA
=+sin
A
sin
B
cos
B
sin
I,
N
,AB
=
cos
A
cos
2
B
sin
I
+cos
A
sin
2
B
sin
I
=
N
,BA
,
−
(3.151)
2cos
2
B
+2sin
2
B
+2sin
A
sin
B
cos
B
sin
I
+2 sin
A
sin
B
cos
B
sin
I,
N
,BB
=
−
M
,AA
=
−
cos
A
sin
I, M
,AB
=0
,M
,BA
=0
,M
,BB
=0
,
D
,A
=
−
sin
A
cos
B
cos
Ω −
cos
A
cos
B
sin
Ω
cos
I,
D
,B
=
−
cos
A
sin
B
cos
Ω
+sin
A
sin
B
sin
Ω
cos
I
+cos
B
sin
Ω
sin
I,
D
,AA
=
−
cos
A
cos
B
cos
Ω
+sin
A
cos
B
sin
Ω
cos
I,
(3.152)
D
,AB
=+sin
A
sin
B
cos
Ω
+cos
A
sin
B
sin
Ω
cos
I
=
D
,BA
,
D
,BB
=
−
cos
A
cos
B
cos
Ω
+sin
A
cos
B
sin
Ω
cos
I
−
sin
B
sin
Ω
sin
I
;
(tan
Λ
)
,A
=
N
D
2
,
(tan
Λ
)
,B
=
M
D
2
,
(tan
Λ
)
,AA
=
D
2
N
,A
−
2
DD
,A
N
D
4
,
(tan
Λ
)
,BB
=
D
2
M
,B
−
2
D
2
D
,B
M
D
4
,
(tan
Λ
)
,AAA
=
D
4
(2
DD
,A
N
,A
+
D
2
N
,AA
)
8
D
4
D
,A
N
−
,
D
8
(tan
Λ
)
,BBB
=
D
4
(2
DD
,B
M
,B
+
D
2
M
,BB
)
4
D
6
D
,B
M
−
,
(3.153)
D
8
(tan
Λ
)
,AB
=
D
2
N
,B
−
2
DD
,B
N
D
4
,
(tan
Λ
)
,ABB
=
D
4
(2
DD
,B
N
,B
+
D
2
N
,BB
)
8
D
4
D
,B
N
−
,
D
8
(tan
Λ
)
,AB
= (tan
Λ
)
,BA
,
(tan
Λ
)
,ABB
= (tan
Λ
)
,BAB
= (tan
Λ
)
,BBA
.
In the following chapter, let us close a gap and introduce a classification scheme that is needed
in the remaining chapters.
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