Titan-Hyperion 4:3 Orbit Resonance

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Uploaded by on Jan 27, 2009

Titan and Hyperion orbit Saturn with periods of 15.94542 and 21.27661 Earth days, respectively. Their period ratio is very close to 4/3, with Titan making very close to 4 orbits for every 3 orbits that Hyperion makes. Because of this orbit resonance, Titan gives Hyperion a forced eccentricity of 0.123. Notice how Hyperion is farthest from Saturn at conjunction with Titan; such avoidance is typical of resonances. In the video, I made the resonance exact, gave Titan a circular orbit, and drew Saturn and its rings to scale, but not Titan or Hyperion. TtnT, HypT, and SynT are times in Titan orbits, Hyperion orbits, and synodic periods.

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  • excellent

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