Richard Feynman had something to say about clocks and rickets in his book
Surely you're joking Mr. Feynman, he posed this puzzle to a fellow
physicist:

"Y*ou blast off in a rocket which has a clock on board, and there's a clock
on the ground. The idea is that you have to be back when the clock on the
ground says one hour has passed. Now you want it so that **when you come
back, your clock is as far ahead as possible. According to Einstein, if you
go very high, your clock will go faster, because the higher something is in
a gravitational field, the   faster its clock goes. But if you try to go
too high, since you've only got an hour, you have to go so fast to get
there that the speed slows your clock down. So you can't go too high. The
question is, exactly what program of speed and height should you make so
that you get the maximum time on your clock?"*

*"This assistant of Einstein worked on it for quite a bit before he
realized that the answer is the real motion of matter. If you shoot
something up in a normal way, so that the time it takes the shell to go up
and come down is an hour, that's the correct motion. It's the fundamental
principle of Einstein's gravity--that is, what's called the "proper time"
is at a maximum for the actual curve."*

John K Clark

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