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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple (Page 22)

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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple
(
)
factormat
,
,
,
% collect [
]
,
,
,
Q
A
C
factor
P
( )
cos


-
U
( )
sin
Q
+
(
)
+
(
)
-
+
( )
sin
( )
cos
U
U
( )
sin
Q
2
( )
cos
(
)
-
( )
sin
( )
cos
U A
C
(
)
-
( )
sin
( )
cos
U
Q
(
)
map
,
x
(
)
algsubs
,
=
Q U
V x
(
)
map
,
expand
(
)
evalm %
(
)
factormat
,
,
,
% collect [
]
,
V
factor
P
( )
cos


-
( )
sin
V
-
+
-
( )
sin
(
)
-
Q
2 A
C
( )
cos
(
)
+
( )
sin
( )
cos
V
2
( )
cos
U
( )
cos
A
C
-
Q
( )
sin
( )
cos
V
:=
arg
%
:=
subslist
[
]
,
,
=
Q
-
1
A
C
=
U
+
( )
sin
h
( )
cos
a
=
V
Q U
(
)
map
,
,
(
)
,
x y
=
( )
lhs x
(
)
subs
,
y
( )
rhs x
subslist subslist
:=
subslist
%
:=
subslist
[
]
,
,
=
Q
-
1
A
C
=
U
+
( )
sin
h
( )
cos
a
=
V
Q U
Check:
(
)
map
,
simplify
(
)
evalm
-
(
)
op
,
[
]
, ,
2 1 1
torque_cone_integral
(
)
subs
,
subslist arg


0
0
0
Finally, we have
(
)
subsop
,
=
[
]
, ,
2 1 1
arg torque_cone_integral
:=
torque_cone_integral
%


K
K
K
0
2
f
+
f
S
P
( )
cos
=
Page 22

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