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Spacecraft orbiting -- need to find the period

A spacecraft is in orbit around Jupiter. The radius of the orbit is 3.0 times the radius of Jupiter (RJupiter = 71,500 km). The gravitational acceleration at the surface of Jupiter (the surface is defined as the above radius) is 23 m/s2. Without using any other information about Jupiter, what is the period of the spacecraft's orbit?
Please solve this numerically with the numbers I have provided to find the answer. Please show all work too. Thanks.

Solution Preview

Please see the attached DOC file for a detailed theoretical explanation of the problem. I will use those results to get a numerical solution to our problem.
<br>Acceleration due to Gravity at the surface of Jupiter, 'a' is given by : ...