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 * 107 m and its rotation period to be 22.3 hours. you have previously determined that the planet orbits 2.2 * 1011 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?