The 470 smaller than the 501/505 so obviously, the main plate, most of the bridges and the rotor are different. The drive train all the way to the balance is the same.
Whether it's better to keep keep the 470 or look for a spare 501/505 I can't tell. I'd look for the correct caliber.
BTW, shouldn't the Constellation, if being a chronometer, have a 504 or 505 instead?
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