Satellite Motion: 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. You have previously determined that the planet orbits 2.9 × 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 19.5 m/s2. What are the masses of (a) the planet and (b) the star? (G = 6.67 × 10-11 N ? m2/kg2)
A. (a) 2.4 kg × 1025 kg, (b) 1.2 kg × 1031 kg
B. (a) 4.3 kg × 1025 kg, (b) 1.2 kg × 1031 kg
C. (a) 2.4 kg × 1025 kg, (b) 7.1 kg × 1030 kg
D. (a) 4.3 kg × 1025 kg, (b) 7.1 kg × 1030 kg
Answer: A
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