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 10 7 m and its rotation period to be 22 3 hours You have previously determined that the planet orbits 2 2 10 11 m from its star with a period of 402 earth days Once on th...

Model Model the star s and the planet p as spherical ...

You are the science officer on a visit to a distant solar system. Prior to landing on

Question:

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

(b) The star?