Marien5908 Marien5908

03-06-2023
Geography

contestada

1) Anthe, Methone and Aegeaon are 3 tiny moons of Saturn that are in m+k/m Mean Motion Resonance (MMR), where m and k are integers, with another Saturnian mid-sized moon Mimas. The semi-major axes of these moons are:
aAegean = 167500 kmaMimas = 186000 kmaMethone = 194700 kmaAnthe = 198100 km
Find m and k for each resonant configuration? Comment on the sign of k for each case.
2) Because of tidal forces in the Earth-Moon system, the Earth Day is getting gradually longer by 0.0023 seconds per century. When would Earth’s rotation period be 40 hours instead of 24 hours? How many days per year would Earth have at that time?
FYI:
GMSaturn = 37.931 x 106 km3 s-2

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