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 3.2 × 1011 m from its star with a period of 402 earth days. once on the surface you find that the acceleration due to gravity is 37.8 m/s2. what are the mass of (a) the planet and (b) the star? (g
