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Suppose one-third of the mass of a satellite is ice and the rest is rock. Calculate (or estimate) the average density of the satellite.

Suppose the orbital period of one satellite is exactly five-fourths as long as the orbital period of another. How often would the two satellites pass one another as they orbit? Give your answer in terms of the orbital period of the inner satellite.

The orbital period of Phobos is 7.7 hours. Show why an observer on Mars would see Phobos rise every 11.2 hours.

Show that the orbital periods and distances of the Galilean satellites of Jupiter are consistent with Kepler's third law.

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