1. The earth, Jupiter, Saturn, and Uranus all revolve around the sun. The earth takes 1 yr, Jupiter 12 yrs, Saturn 30 yrs, and Uranus 84 yrs to make a complete revolution. How often will Jupiter, Saturn, and Uranus have the same position in the night?


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Oddman answered
The repetition period will be the least common multiple of the orbital periods. Assuming your orbital period numbers are accurate, the repetition period will be
  5*6*14 = 420 years

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