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Astronomical Applications Department, U.S. Naval Observatory - Sensitivity Integral (Page 23)

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Astronomical Applications Department, U.S. Naval Observatory - Sensitivity Integral
Grab the messy term and clean it up.
(
)
select
,
,
has
(
)
rhs %
a
0
504
2
2
1
2
a
0
315
2
7
a
3
360
2
6
a
2
420
2
5
a
1
504
2
4
a
0
280 a
4
2
8
+
+
+
+
+
360 a
2
1
6
315 a
3
1
7
280 a
4
1
8
504
1
4
a
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420 a
1
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5
315
2
6
1
a
3
+
+
+
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280
2
7
1
a
4
280
2
5
1
3
a
4
315
2
5
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2
a
3
360
2
5
1
a
2
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2
6
1
2
a
4
+
+
+
+
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315
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5
360
2
2
a
2
1
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2
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3
280
2
3
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4
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315
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3
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4
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+
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3
420
2
3
a
1
1
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3
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4
1
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+
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+
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360
2
4
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2
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420
2
4
a
1
1
280
2
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4
1
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a
3
1
6
360
2
a
2
1
5
+
+
+
+
+
420
2
a
1
1
4
504
2
1
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2
a
4
1
6
+
+
+
(
)
applyop
,
,
,
,
collect
(
)
location
,
%% %
%% [
]
(
)
seq
,
a
i
=
i
..
0
4
factor
(
)
S
4
, , , ,
,
r s g T
1
2
1
2520
s
2
r
2
(
)
- +
1
g
2
(
)
- +
1
2


=




+
+
+
+
504
2
4
504
2
3
1
504
2
2
1
2
504
2
1
3
504
1
4
a
0
420 (
)
+
1
2




+
+
2
2
2
1
1
2




-
+
1
2
2
1
2
2
a
1


+
+
+
+
+
+
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+
360
1
3
2
3
360
1
4
2
2
360
1
2
2
4
360
1
2
5
360
1
6
360
2
6
360
1
5
2


a
2
315 (
)
+
1
2




+
2
2
1
2




+
2
4
1
4
a
3
+
280




+
+
2
2
2
1
1
2




+
+
1
6
1
3
2
3
2
6
a
4
+


This has a certain pleasing symmetry of form. However, we might more usefully rewrite
it in terms of the fractional bandpass,
=
-
2
1
1
. Doing so, we find


factor


simplify
,
,
%


=
-
2
1
1
[
]
2
(
)
select
,
,
has
(
)
rhs %
a
0
Page 23

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