Find Docs

Astronomical Applications Department, U.S. Naval Observatory - Precession Maple (Page 20)

Wodocs >> Science : Astronomy >> Astronomical Applications Department, U.S. Naval Observatory Precession Maple Page 20
Astronomical Applications Department, U.S. Naval Observatory - Precession Maple
=


dF
dF
dF
P
( )
cos
dS


-
(
)
-
A
C
1
-
(
)
-
A
C
1
-
-
2 A
C
( )
cos
(
)
-
A
C
1
Thus, the force integrated over the cone surface is
=
(
)
mat
,
,
F
F
F
d

0
2
d

f
+
f
S
(
)
subs
,
=
dS
( )
sin
(
)
rhs %
=


F
F
F
d
0
2
d
f
+
f
S
P
( )
cos
( )
sin


-
(
)
-
A
C
1
-
(
)
-
A
C
1
-
-
2 A
C
( )
cos
(
)
-
A
C
1
:=
Fintegral
%
(
)
latex
,
% "d:/dynamics/precession/ConeForceIntegral.tex"
Torque Due to Radiation Pressure on the Cone Surface
Radius Vector to Cone Surface
To calculate the torque, we first need the radius vector to a point on the surface of the
cone. The transformation from conical to cartesian body coordinates is




,
,
=
x
( )
sin
( )
cos
=
y
( )
sin
( )
sin
=
z
-
+
h
( )
cos
a
( )
tan
.
:=
xyz
%
Hence, the radius vector from the center of mass to a point on the cone surface is, in the
conical frame,
(
)
subs
,
xyz
(
)
CartToCon
,
&*
(
)
mat , ,
x y z
(
)
map
,
,
,
collect
(
)
evalm %
[
]
,
h a
simplify
:=
r_cone
%


( )
sin
( )
cos
( )
sin
( )
sin
-
( )
cos
-
( )
sin
( )
cos
0
( )
cos
( )
cos
( )
cos
( )
sin
( )
sin
&*


( )
sin
( )
cos
( )
sin
( )
sin
-
+
h
( )
cos
a
( )
tan


-
-
+
( )
cos
h
( )
cos
2
a
( )
sin
0
+
( )
sin
h
( )
cos
a
Page 20

<< Previous       1 .. 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27       Next >>



Other Documents:
Curves 3 D, NOVAS 2004 Overview, NOVAS 2006 Overview, thesis, Ranson,


WODocs | |
All rights reserved. wodocs.comę 2009
WODocs


New Docs

Documents Category:
Arts (Design, Movies, Music, Radio, Television)
Automotive (Cars, Marine, Motorcycle, ATV, Snowmobiles)
Business (Biotechnology and Pharmaceuticals, Chemicals, Construction and Maintenance, Materials, Real Estate, Services)
Electronics (Computers, Motion Control, Power Supply)
Games (Board, Family, Party, Card, Construction, RC Toys)
Health (Animalm, Beauty, Healthcare, Medicine, Pharmacy, Surgery, Weight Loss)
Home (Accessories, Cooking, Decor and Design, Electrical, Family, Pets)
News (Newspapers, Sports, Television)
Recreation (Collecting, Hiking, Scouting, Survival, Travel)
Reference (Education, Libraries and Archives, Museums)
Science (Agriculture, Astronomy, Biology, Chemistry)
Shopping (Antiques and Collectibles, Clothing, Flowers, Food, Home and Garden)
Sports (Bicycle, Snowboard, Skiing, Other)