This supplies the centripetal force needed for the motion of the star:
2
2
2
where
.
4
Gm
m
v
r
Mm
v
rr
T
§·
+=
=
¨¸
©¹
p
Plugging in for speed
v
, we arrive at an equation for period
T
:
32
2
.
(/
4
)
r
T
GM
m
π
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Force, Mass

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