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.
excellent
indepundint 3 years ago