Astronomical Applications Department, U.S. Naval Observatory Precession Maple Page 7
:=
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