Satellite A orbits a planet with a speed of 21000 m / s . Satellite B is twice a

Question

Satellite A orbits a planet with a speed of 21000 m/s . Satellite B is twice as massive as satellite A and orbits at twice the distance from the center of the planet. What is the speed of satellite B? Assume that both orbits are circular.
Satellite A orbits a planet with a speed of 21000 m/s . Satellite B is twice as massive as satellite A and orbits at twice the distance from the center of the planet. What is the speed of satellite B? Assume that both orbits are circular.
Satellite A orbits a planet with a speed of 21000 m/s . Satellite B is twice as massive as satellite A and orbits at twice the distance from the center of the planet. What is the speed of satellite B? Assume that both orbits are circular. Satellite A orbits a planet with a speed of 21000 m/s . Satellite B is twice as massive as satellite A and orbits at twice the distance from the center of the planet. What is the speed of satellite B? Assume that both orbits are circular. Satellite A orbits a planet with a speed of 21000 m/s . Satellite B is twice as massive as satellite A and orbits at twice the distance from the center of the planet. What is the speed of satellite B? Assume that both orbits are circular. Satellite A orbits a planet with a speed of 21000 m/s . Satellite B is twice as massive as satellite A and orbits at twice the distance from the center of the planet. What is the speed of satellite B? Assume that both orbits are circular.

Explanation / Answer

centripetal force = gravitational force
mass*v^2/r=mass*(GM/R^2)
v^2=GM/R

Satellite motion
v = (GM/R)
v = velocity in m/s
G = 6.673e-11 Nm²/kg²
M is mass of central body in kg
R is radius of orbit in m

Mass of satellite is irrelevant
for A, Va = (GM/Ra)
for B, Vb = (GM/Rb)

plug in what info you have

now Rb = 2Ra
21000 m/s = (GM/Ra)
Vb = (GM / 2Ra)
Vb = (1/2)(GM / Ra)
Vb = (1/2)(Va)
Vb = 14849.24 m/s

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