Consider moons of Jupiter.
1. Metis: a=128852 km, T=0.2988 d,2. Io: a=421700 km, T=1.7691 d,3. Europa: a=671034 km, T=3.5512 d,4. Himalia: a=11497400 km, T=251.86 d,5. Callisto: a=1882709 km, T=16.689 d.
The Kepler ratio is
r=R3T2.
Calculate the Kepler ratio for each moon:
1. r=4.17⋅10−17 d2/km3.2. r=4.17⋅10−17 d2/km3.3. r=4.17⋅10−17 d2/km3.4. r=4.17⋅10−17 d2/km3.5. r=4.17⋅10−17 d2/km3.
Thus, Kepler’s third law applies for moons around a planet other than Earth.
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