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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple (Page 6)

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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple
(
)
- +
I
y
I
x
( )
cos
( )
sin




t
2
I
z
K
z
I
z
+
-

:=
tmp
%
Clean up the third equation a bit
(
)
algsubs
,
=
( )
cos
( )
sin
A tmp
3


algsubs
,
=
(
)
sin




t
B
t
%
(
)
algsubs
,
=
-
I
x
I
y
C I
z
%


-
-
(
)
- +
I
y
I
x




t
( )
sin
2
I
z
(
)
- +
I
y
I
x




t
( )
cos
2
I
z




t




t
(
)
sin
(
)
- +
I
y
I
x
A




-




t
2




t
2
(
)
sin
2
I
z


2
t
2


2
t
2
(
)
cos
K
z
I
z
+
+
+
-
A




-




t
2




t
2
(
)
sin
2
C
B (
)
-
+
( )
cos
2
C I
z
( )
sin
2
C I
z
I
z
I
z


2
t
2
-
+


2
t
2
(
)
cos
K
z
I
z
+
-


Collect
,
,
,
%


,
, , ,
,
,
2
t t
2
t t
A B C




t
2
( )
cos
simplify alg


subs
,
,
,
=
A
( )
cos
( )
sin
=
B
(
)
sin




t




t
=
C
-
I
x
I
y
I
z
%


2
t
2


2
t
2
(
)
cos




+
(
)
- +
1
(
)
cos
2




t
2




t
2
(
)
- +
I
y
I
x
( )
cos
( )
sin
I
z
+
+


-
(
)
-
+
2
( )
cos
2
1 (
)
- +
I
y
I
x
I
z
1




t
(
)
sin




t
K
z
I
z
+
-
Page 6

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