Homework Help: Physics-Gravity

Posted by Anna on Saturday, July 17, 2010 at 5:05pm.

A 17.0-kg satellite has a circular orbit with a period of 2.31 h and a radius of 9.10×106 m around a planet of unknown mass. If the magnitude of the gravitational acceleration on the surface of the planet is 8.10 m/s2, what is the radius of the planet?

Physics-Gravity - drwls, Saturday, July 17, 2010 at 6:30pm
The surface g equals G M/Rp^2. Rp is the planet radius in this case.

The orbital period P and distance R will also provide you with a value for M, using the Kepler third law in Newton's form (from your other question). With that, solve for Rp

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