Undoing faked Apollo Studio Videos (kidding)

Note: This is a repost from my old site. Time to move it over.

First, what is different about motion on the moon and on Earth? Since the moon has a smaller mass in spite of its smaller size*, the moon has a smaller gravitational field. The gravitational field on the surface of the moon is 1/6th the field on the surface of the Earth. This means that the acceleration of a free falling on the object would be 1/6th the acceleration on Earth. So the question is: how would you change the time scale of a movie so that it looks like its acceleration is 1/6th of 9.8 m/s2?

*If you make the size of a planet smaller (without reducing the mass) the gravitational field on the surface gets larger.

So, 1 second on Earth would be 2.45 seconds on the moon. If I have a "moon" movie and I want to make it look like it really did in the studio (remember - I am joking) I would need to make the movie 0.408 times the original time length. It just so happens, I have a great video to do this with. Remember the "jump salute"? I did an analysis of this earlier. Well, I took this movie and using JES Deinterlacer (free program for Mac OS X), I adjusted the time length of the movie. Here is the Apollo jump salute movie as those recording it in the studio saw it:

And to make sure I am not crazy, I used video analysis techniques in the exact way before to determine the acceleration of the jumper. Here is a plot of the vertical position of the astronaut as a function of time with a parabolic fit.

As you can see, this has an acceleration of around 9.1 m/s2 - close enough.

Here are some other videos I found from the apollo missions. I corrected the time on these also:

Notice how it looks weird?

The next obvious step is to take some Earth movies and make them look like moon-movies. This first movie is of one of my daughters. I took the video with a still camera, so the frame rate is a little low. I wasn't going to post this, but it kind of makes it look like 1970's type movie.

Also, here is a video I previously analyzed. This is the video of Kobe Bryant jumping over a car. I slowed it down so it looks like it is on the moon also.

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