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