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Astronomical Applications Department, U.S. Naval Observatory - Sensitivity Integral (Page 19)

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Astronomical Applications Department, U.S. Naval Observatory - Sensitivity Integral
-
+
(
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2
(
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sin r x
2
2
(
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sin s x
2
(
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sin r x r x g
(
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O g
2
+
(
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sin s x
2
(
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x
g x
2
r
2
(
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O r
4
+
x
2
(
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(
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sin r x
(
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2
s
2
(
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O s
4
(
)
sin s x
2
(
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-
(
)
sin s x
(
)
sin s g x
2
+
2
(
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sin s x
2
(
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-
(
)
sin s x
(
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sin s g x
(
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-
(
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cos s x x
(
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cos s g x g x (
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r
s
(
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O (
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r
s
2
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sin
1
2
r (
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1
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(
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sin
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cos
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s
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r (
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sin
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cos
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sin s x
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cos r x r x (
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sin
1
2
r (
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(
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sin r x
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2




sin
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r (
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cos
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r (
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1
g x x (
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(
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+
s
1
2
r (
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+
s
1
2
r (
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g
2
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sin r g x
2
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(
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sin r x
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sin r g x
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sin r g x
(
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cos r g x x (
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(
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sin r x
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sin r g x
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s
r g
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O (
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s
r g
2
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(
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sin r g x
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(
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sin r x
(
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2
2
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sin r g x
(
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cos r g x x (
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-
(
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sin r x
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sin r g x
2
(
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+
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r g
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(
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O (
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+
s
r g
2
+
(
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sin s x
2
(
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+
(
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sin s x
(
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sin s g x
2
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2
(
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sin s x
2
(
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-
+
(
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sin s x
(
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sin s g x
(
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-
(
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cos s x x
(
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cos s g x g x (
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+
s
r
(
)
O (
)
+
s
r
2
+
This is not encouraging, since, for most of these, integrating in frequency is similar in
Page 19

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