Resonance Three planets have a resonance of 1:3:5. If the closest planet to the star has an orbital period of 5 years how long is the orbital period of the farthest planet from the star?

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Universal Gravitation
Section: Chapter Questions
Problem 36AP: A certain quaternary star system consists of three stars, each of mass m, moving in the same...
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The answer was 25 years. Can you explain how they got that?
Resonance
Three planets have a resonance of 1:3:5.
If the closest planet to the star has an orbital period of 5 years how
long is the orbital period of the farthest planet from the star?
Transcribed Image Text:Resonance Three planets have a resonance of 1:3:5. If the closest planet to the star has an orbital period of 5 years how long is the orbital period of the farthest planet from the star?
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