The path of our planetary bodies

  • Thread starter misskitty
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About force laws: inverse square produces ellipses, but it is not the only one. Harmonic spring law is where the force = the distance, so the farther you get the more force you feel, like pulling on a spring. This law produces ellipses where the sun is at the center, not at a focus. Another property about this law is that n-body problems always have repetive solutions, with the planets ALLWAYS going back to the exact same spot over and over again.

For inverse linear law or below, escape velocity for any body is infinite.

For inverse cube law and above, a stable orbit is impossible. But stable orbits exist for anything below inverse cube. Even inverse 2.999999... law.
 

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