If the angular momentum of Earth in its motion around the Sun were quantized like  a hydrogen electron, what would Earth’s quantum number be?  How much energy would be released in a transition to the next lowest level? Would that  energy release (presumably as a gravity wave) be detectable?

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If the angular momentum of Earth in its motion around the Sun were quantized like 
a hydrogen electron, what would Earth’s quantum number be? 
How much energy would be released in a transition to the next lowest level? Would that 
energy release (presumably as a gravity wave) be detectable? What would be the radius of 
that orbit? (The radius of Earth’s orbit is 1.50 x 10^11 m.)

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