Chapter 13, Problem 25EAP

You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its diameter to be $1.8\times {10}^7$ m and its rotation period to be 22.3 hours. You have previously determined that the planet orbits $2.2\times {10}^{11}$ m from its star with a period of 402 earth days. Once on the surface you find that the free-fall acceleration is 12.2 m/s². What is the mass of (a) the planet and (b) the star?