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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple (Page 35)

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


-
-
1
3
( )
cos
(
)
-
a
b A
C
( )
sin
( )
cos
(
)
-
a
b
( )
sin
(
)
+
+
a
2
a b
b
2
a
2
h (
)
- +
1
A
T
+
+


Equations of Motion
subs
(
)
seq
,
=
(
)
lhs torque_terms_subs
,
k 1
(
)
evalm
(
)
rhs torque_terms_subs
,
k 1
=
k
..
1
2
=
K
z
0
,
,
(
FirstOrderODEsK )
(
)
mat %




=
t




=
t




=
t
(
)
sin




t
=

+
(
)
-
(
)
-
1
(
)
cos
(
)
+
1
(
)
g
0
,
(
)
G
, , ,
,
,
a b h A
C
A
T
(
)
g
1
,
I
xy

t
=

+




+
(
)
- +
1
2
(
)
cos
(
)
sin
(
)
g
0
,
(
)
G
, , ,
,
,
a b h A
C
A
T
(
)
g
2
,
I
xy

(
)
sin




t
(
)
+
(
)
+
(
)
cos
2
1
(
)
- +
1
(
)
cos
=

(
)
g
0
,
(
)
G
, , ,
,
,
a b h A
C
A
T
(
)
g
1
,
(
)
cos
I
xy
-

:=
FirstOrderODEs
%
where
(
)
mat gsubs
[
]
=
(
)
g
0
,
-
+
(
)
cos
Z
Y
(
)
sin
( )
cos
X
(
)
sin
( )
sin
[
]
=
(
)
g
1
,
+
X
( )
cos
Y
( )
sin
[
]
=
(
)
g
2
,
-
-
+
(
)
sin
Z
(
)
cos
Y
( )
cos
( )
sin
(
)
cos
X
Page 35

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