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A satellite with mass m, = 3.08 × 105 kg is in a circular orbit around a planet with mass mp = 2.94 x 1023 kg. The satellite's orbital radius is R₂ = 2.20 × 107 m as measured from the centre of the planet.

Part 1)

What is the centripetal force keeping the satellite in a circular orbit around the planet?

How long does it take for the satellite to complete one orbit of the planet?

T =

Part 2)

Now consider a second, identical satellite on the same orbital path but trailing one sixth of a period behind the first satellite. How far from the centre of the planet is the centre of mass position for the planet and both

satellites?

Part 3)

The trailing satellite burns its thrusters to increase its orbital radius to Rew = 3.30 × 107 m. It remains at this new orbit for 6.00 hours, before burning its thrusters in the opposite direction to return to the original

orbit. Assume the time taken to change orbits is negligible. What is the new angular separation between the two satellites?