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A potential V(r) = -k/r^4 A very superficial analysis

  1. Dec 9, 2003 #1
    What are the general features of this potential? Is the particle attracted or repelled? You don't need to perform a mathematical analysis, but qualitatively, what is the general shape of the orbits? Assume energy is positive. What happens if angular momentum is zero?
  2. jcsd
  3. Dec 11, 2003 #2
    Curved toward the center, but not closed (the're only closed for [itex]V \sim r^{-1}[/itex], Kepler motion). I guess they look like a pattern produced by a spirograph.
    The body will fall into the center. From there, it will not be possible to calculate the further motion because of the singularity.
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