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A comment on Myth: The astronauts didn’t float away because they had heavy boots. Parent comment

Re:Myth: The astronauts didn’t float away because they had h... by dennisgorelik on Thursday November 28, 2013 @02:09PM (#6815957)
I suspected that time difference between falls would be not linear, but I was not sure about actual ratio.

Playing with freefall distance equations showed that time to fall difference is square root of 6. Here we are:

  Height = gEarth*timeOnEarth^2/2 = gMoon*timeOnMoon^2/2
  gEarth = gMoon * 6
  6 * gMoon * timeOnEarth^2/2 = gMoon * timeOnMoon^2/2
  6 * timeOnEarth^2 = timeOnMoon^2
  timeOnMoon = sqrt(6 * timeOnEarth^2)
  timeOnMoon = sqrt(6) * timeOnEarth = 2.45 * timeOnEarth
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