Titan, a satellite of Saturn, has a mean orbital radius of 1.22 × 10⁹ m. The orbital period of Titan is 15.95 days. Hyperion, another satellite of Saturn, orbits at a mean radius of 1.48 × 10⁹ m. Estimate the orbital period of Hyperion.
Introduction This problem uses Kepler’s Third Law, which relates the orbital period of a satellite to the radius of its orbit. Specifically, for satellites orbiting the same planet (Saturn in this case), the square of the orbital period is proportional to the cube of the orbital radius: (T₁/T₂)² = (R₁/R₂)³ Given Data Orbital radius of […]