1: How could you travel between tidally locked planets?
2: How long will it take the tesla in space to turn white (be bleached)
3: In which direction is orbit around mars achieved easiest?
4: How could you calculate a brachistochrone transfer burn with a changing acceleration?
5: How fast should a rocket be going in order to leave the atmosphere within 5 seconds? (Ignore G-forces, air resistance and such)
6: Why space elevators are essentially impossible to construct?
7: What factors effect the rockets thrust?
8: Why is perpetual motion drives are impossible to construct?
9: Why are SSTO's hard to construct? (Hint: shape of the engine)
To finish this off, here is a hard rocket science related problem.
10: A space probe is traveling in outer space with a momentum that has a magnitude of 3.87 x 107 kg·m/s. A retrorocket is fired to slow down the probe. It applies the force to the probe that has a magnitude of 1.41 x 106 N for 9.55 seconds and a direction opposite to the probe's motion. Determine the momentum of the probe after the retrorocket ceases to fire.