104
DOC.
1
MECHANICS LECTURE NOTES
rhla
=
mass
element
Rx
=
R
-
5
=
distance from
the
sun
=
R
-
r
cosa cosß
5
=
r cos«
cosß
5'
=
r
cos
a
sinß
Potential with
respect
to the
sun
Force
=
^
MfX
da
(R
-
rcosa
cosß)2
Moment of
this force with
respect
to
the
axis
of the vernal
equinox
k2MrX
-
tjt,
r
cos a
sin
ß
=
k2MrX
da
^
(R
-
r cos a
cos
ß)2
dß
\R
-
rcosacosß
1 1
/
\
3
f,,
, ,
/l
rcosacosß
r2
cos2
a
cos2
ß
1
l
+ )
=
-
\k2Mrlda(-
+
^--
+
^
(
f
R2\
/
dß
(.
\R
R2
R
J
cos2
a
da
=
^
j*
-1(1+
cos 2a)
da
1
,7,,
,
r2sinßcos)8
.
mr2smßcosß
=
*
^
»' "
*
M2i
I'2g
I
clcc
2R3
Jo
4
-
8
-
We
can
estimate
m
to
be
-(-r3
+
rr/2)
it
•
p
=
-r^tTt
•
p
3 3
r'
=
r(l
+
c)