How Would a Halved Earth Mass Affect the Moon's Rotation Period?

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SUMMARY

If Earth were to have half its current mass, the Moon's rotation period would be affected due to changes in gravitational interactions. The reduced mass would lead to a greater influence of the Moon's gravity on Earth, potentially causing the Moon to rotate slower initially. However, as the Moon adjusts to the new gravitational dynamics, its orbital period would eventually stabilize, correcting for the changes in speed and mass. This discussion highlights the complexities of orbital mechanics and gravitational interactions.

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nmsurobert
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Someone texted me and asked me if the Earth was half as massive what impact would that have on the rotation period of the moon?

I'd think that the moon would rotate slower as it's gravity would more influence on the earth. But I am not sure if that makes sense or not haha
 
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\mu would be greater then the velocity would be greater at the present position therefore the Period would decrease but the moon would eventually correct for the change is speed and mass changing the whole orbit.
 
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