If ‘r’ represents the radius of the orbit of a satellite of mass ‘m’ moving round a planet of
mass ‘M’, the velocity of the satellite is given by
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Answer:
Given,M is mass of planet,m is mass of satellite,r is radius of orbit.
Let, v be velocity of the satellite
Now, for the satellite to revolve in the orbit the centripetal force must be balanced by gravitational force i.e.,
F
c
=F
g
→(1)
we know that,
F
c
=
r
mv
2
and F
g
=GMmr
2
.
Substituting these values in (1),
r
mv
2
=
r
2
GMm
After solving this equation we get
v
2
=
r
GM
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