gusl: (Default)
[personal profile] gusl
I have always wondered why we only see one side of the moon.

http://en.wikipedia.org/wiki/Tidal_locking
http://en.wikipedia.org/wiki/Orbital_resonance

I like to think of this as being due to the tidal-lock configuration being lower-energy than other configurations... but it doesn't feel like a clean explanation, since I don't have a theorem explaining why things will tend to a lower-energy state. Does Lagrangian mechanics validate my intuition?
Fermat's principle is another example of the same sort of intuition that I can't justify rigorously.
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