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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple (Page 34)

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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple
(
)
select
,
,
has
(
)
rhs torque_terms
(
)
-
+
(
)
cos
Z
Y
(
)
sin
( )
cos
X
(
)
sin
( )
sin


+
X
( )
cos
Y
( )
sin
-
-
+
(
)
sin
Z
(
)
cos
Y
( )
cos
( )
sin
(
)
cos
X
(
)
select
,
,
has %
(
)
sin
Z


+
X
( )
cos
Y
( )
sin
-
-
+
(
)
sin
Z
(
)
cos
Y
( )
cos
( )
sin
(
)
cos
X
gsubs
=
(
)
g
0
,
(
)
remove
,
,
has %%
(
)
sin
Z
=
(
)
g
1
,
%
,
1 1
=
(
)
g
2
,
%
,
2 1
,
,
,
[
:=
=
(
)
G
, , ,
,
,
a b h A
C
A
T
(
)
select
,
,
has
(
)
remove
,
,
has
(
)
rhs torque_terms
{
}
, ,
a P
]
Then we can write
(
)
invsubs
,
gsubs
(
)
remove
,
,
has
(
)
rhs torque_terms
(
)
G
, , ,
,
,
a b h A
C
A
T
(
)
invsubs
,
gsubs
(
)
select
,
,
has
(
)
rhs torque_terms
(
)
g
0
,


(
)
g
1
,
(
)
g
2
,
=
(
)
lhs torque_terms
% %%
=


+
( )
cos
K
y
K
x
( )
sin
-
+
K
y
( )
sin
( )
cos
K
x
(
)
g
0
,


(
)
g
1
,
(
)
g
2
,
(
)
G
, , ,
,
,
a b h A
C
A
T
:=
torque_terms_subs
%
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
(
)
G
, , ,
,
,
a b h A
C
A
T
P

=

(
)
-
a
b (
)
-
+ +
A
C
1
2 A
C
( )
cos
2
(
)
+
( )
sin
h
( )
cos
a (
)
+
a
b
( )
sin
Page 34

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