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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple (Page 26)

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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple
=




( )
sin
( )
cos
( )
sin
( )
sin
-
( )
cos
-
( )
sin
( )
cos
0
( )
cos
( )
cos
( )
cos
( )
sin
( )
sin
&*


(
)
R
,
,
&*


X
Y
Z
(
)
factormat
,
,
(
)
evalm %
collect [
]
,
( )
sin
( )
cos


=
( )
sin
(
)
-
-
( )
sin
( )
cos
( )
cos
(
)
cos
( )
sin
X
(
[
( )
sin
(
)
-
+
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sin
( )
sin
( )
cos
(
)
cos
( )
cos
Y
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sin
( )
cos
(
)
sin
Z
+
+
)
( )
sin
( )
sin
(
)
-
( )
cos
( )
cos
( )
sin
(
)
cos
( )
sin
X
(
+
( )
sin
(
)
+
( )
cos
( )
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sin
(
)
cos
( )
cos
Y
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)
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Z
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+
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( )
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X
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( )
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Y
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(
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(
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-
+
-
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(
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( )
cos
( )
sin
(
)
cos
( )
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[
(
)
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-
( )
cos
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sin
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sin
(
)
cos
( )
cos
Y
( )
sin
(
)
sin
Z
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-
)
( )
sin
(
+
(
)
-
-
( )
sin
( )
cos
( )
cos
(
)
cos
( )
sin
X
(
)
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+
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sin
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sin
( )
cos
(
)
cos
( )
cos
Y
Z
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cos
(
)
sin
+
+
)
( )
cos
]
( )
cos
(
)
-
-
( )
sin
( )
cos
( )
cos
(
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cos
( )
sin
X
(
[
( )
cos
(
)
-
+
( )
sin
( )
sin
( )
cos
(
)
cos
( )
cos
Y
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cos
( )
cos
(
)
sin
Z
+
+
)
( )
sin
( )
cos
(
)
-
( )
cos
( )
cos
( )
sin
(
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cos
( )
sin
X
(
+
( )
cos
(
)
+
( )
cos
( )
sin
( )
sin
(
)
cos
( )
cos
Y
( )
cos
( )
sin
(
)
sin
Z
+
+
)
( )
cos
X
( )
sin
(
)
sin
( )
sin
Y
( )
sin
(
)
sin
( )
cos
Z
( )
sin
(
)
cos
+
-
+
]
:=
Psubs
[
]
(
)
seq
,
=
(
)
lhs %
,
k 1
(
)
rhs %
,
k 1
=
k
..
1
3
We must transform the torque components from the conical frame to the body cartesian
frame.
torque_cone
Page 26

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