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I studied this problem 20 years ago in a classical mechanics course, and my recollection is that when you solve the equations of motion, you get an imaginary exponential component that describes the motion for each axis. However, in the case of the intermediate axis, you get a multiplication of two imaginary numbers in the exponential, which then gives ...


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Objects at both L4 and L5 have a bit of an "orbit" around the central point. To simulate this, you'll need to use somewhat complicated rotating reference frame physics. Here is an example of the Jupiter Trojan asteroids. You can see that they all dance around each other in the vicinity of the Jupiter-Sun L4 and L5. http://youtu.be/yt1qPCiOq-8?t=43s You ...



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