Arturo O. answered • 09/20/18
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Use Kepler's 3rd law of planetary motion.
T2/a3 = constant for all planets
Earth:
T2/a3 = (1 y)2/(1 AU)3 = 1 y2/AU3
Planet X:
T2/(10 AU)3 = 1 y2/AU3
T2 = (10)3 y2
T ≅ 31.6 years
T2/a3 = constant for all planets
Earth:
T2/a3 = (1 y)2/(1 AU)3 = 1 y2/AU3
Planet X:
T2/(10 AU)3 = 1 y2/AU3
T2 = (10)3 y2
T ≅ 31.6 years
