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Two satellite A and B go round around planet P in a circular orbit having radii 4R and R respectively. If the speed of the satellite A is 3V, the speed of

satellite B is



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A  and  B  go around planet  P in circular orbits of radii 4 R and  R respectively.

velocity of a satellite = v
mass of a satellite = m
mass of planet = M
radius of orbit = R

centripetal force =  m v² / R = G M m / R²
             =>  v² = G M / R
     velocity of a satellite is inversely proportional to the radius of the orbit.

        v_B² / v_A²  =  R_A / R_B
         v_B² = 4 R / R * (3 V)² = 36 V²

   v_B = velocity of satellite B =  6 V,  twice the velocity of satellite A.

2 5 2
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