# 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.

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.