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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple (Page 7)

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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple
:=
tmp
3
%
:=
BodyEqs
(
)
eval tmp
(
)
latex
,
BodyEqs "d:/dynamics/precession/RigidBodyEqs.tex"
(
)
mat BodyEqs


2
t
2
( )
cos


2
t
2
( )
sin
(
)
sin
+



+
(
)
+ -
I
x
I
z
I
y




t




t
I
x
(
)
-
I
z
I
y




t
2
(
)
cos
I
x
( )
cos
(
)
sin
+


-
+
(
)
+ -
I
x
I
z
I
y




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




t
I
x
( )
sin




t
K
x
I
x
+
-



2
t
2
( )
sin


2
t
2
( )
cos
(
)
sin
-
+



+
(
)
- + -
I
y
I
x
I
z




t




t
I
y
(
)
-
I
x
I
z




t
2
(
)
cos
I
y
( )
sin
(
)
sin
+


+
(
)
- + -
I
y
I
x
I
z




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




t
I
y
( )
cos




t
K
y
I
y
+
-



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
+
-

Rigid Body Equations -- Symmetric Top
General Motion of a Symmetric Top
Equations of Motion
Page 7

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