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Astronomical Applications Department, U.S. Naval Observatory - Precession Maple (Page 14)

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




solve
,
%
t
=
t
%
2
=
t
-




t
(
)
- +
1
(
)
cos


normal


subs
,
=
-
I
xy
I
z
I
xy
%
=
t
-




t
I
z
(
)
cos
(
)
-
+
I
xy
I
z
A Spinning Truncated Cone Embedded in a Pressure Field
Consider a truncated cone with small and large radii
a
and
b
and cone opening angle
. Let the
center of mass reside on the (local) z axis, a distance
h
below the smaller flat surface (the top
surface of the truncated cone). Then the equation for the conical surface is
=
tan
-
r
a
-
h
z
, or
=
+ -
x
2
y
2
(
)
+
a
(
)
-
h
z
( )
tan
2
0
.
(
)
latex
,
% "d:/dynamics/precession/ConeEquation.tex"
Conical Coordinates
Page 14

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Curves 3 D, NOVAS 2004 Overview, NOVAS 2006 Overview, thesis, Ranson,


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