If you drop an object through a hole in the Earth stretching from the North Pole to the South Pole, it would oscillate back and forth about 17 times per daypic.twitter.com/crCfBFK2qp
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Period (or frequency) is independent of latitude, so the latitudes are not required to be the same for both at every given time (but must be the same at some times), but your graphic appears to suggest that with the correct initial conditions they can be. Is that correct?
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It's neat that the vertical acceleration vectors are the same size and direction for both at all times.
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Dors thé same time révolution come from some properties or thé hamiltonian? Btw thé révolution of the circuler one is thé same as thé usuel one (no earth hole)?
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