physics

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help me please? I'm lost...

A small space probe is put into circular orbit about a newly discovered moon of Saturn. The moon's radius is known to be 550km. If the probe orbits at a height of 1500km above the moon's surface and takes 2.0 earth days to make one orbit, determine the moon's mass. consider the total radial distance required to solve this problem.

  • physics -

    moon's gravity provides the centripetal force for the orbit

    m v^2 / r = G M m / r^2

    orbital velocity
    ... v = 2 π (1500 + 550) * 1000 / (48 * 3600)

    r = (1500 + 550) * 1000 meters
    ... G = 6.67E-11

    M = v^2 r / G kg

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