If m be mass of the satellite revolving round the earth of mass M along a circular orbit of radius r ,then gravitational pull on the satellite will provide the centripetal force required for circular motion. So we get
mw^2r=GmM /r^2, where w is the angular velocity of the satellite.
So w^2=GM/r^3
=> (4π^2)/T^2=GM/r^3, where T is the ** of circular mottion
This means T^2 is proportional to r^3
Hence
TA^2/TB^2=r1^3/r2^3
=>TA^2/TB^2=(4^3 r2^3)/r2^3
=>TA/TB=√64=8
