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1
2
1
2
cos 2B,
sin
2
B
ᄐ
3
8
1
2
cos 2B
1
8
cos 4B,
sin
4
B
ᄐ
þ
5
16
15
32
cos 2B
3
16
cos 4B
1
32
cos 6B,
sin
6
B
ᄐ
þ
Hence, it follows that:
3
2
3
4
e
2
3
4
e
2
cos 2B
45
64
e
4
15
16
e
4
cos 2B
e
2
sin
2
B
ð
1
Þ
ᄐ
1
þ
þ
15
64
e
4
cos 4B
175
256
e
6
525
512
e
6
cos 2B
105
256
e
6
cos 4B
35
512
e
6
cos 6B
þ
þ
þ
þ
A
0
B
0
cos 2B
C
0
cos 4B
D
0
cos 6B
E
0
cos 8B
F
0
cos 10B,
ᄐ
þ
þ
ð
5
:
38
Þ
where the coefficients in the equation are:
9
=
;
3
4
e
2
45
64
e
4
175
256
e
6
11025
16384
e
8
43659
65536
e
10
A
0
ᄐ
1
þ
þ
þ
þ
þ
3
4
e
2
15
16
e
4
525
512
e
6
2205
2048
e
8
72765
65536
e
10
B
0
ᄐ
þ
þ
þ
þ
15
64
e
4
105
256
e
6
2205
4096
e
8
10395
16384
e
10
C
0
ᄐ
þ
þ
þ
:
35
512
e
6
315
2048
e
8
31185
131072
e
10
D
0
ᄐ
þ
þ
315
16384
e
8
3465
65536
e
10
E
0
ᄐ
þ
...
639
131072
e
10
F
0
ᄐ
...
These coefficients are all constants for the defined ellipsoid.
Substituting (
5.38
) into (
5.37
), integration yields:
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