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Stability. In what sense?

  1. Nov 25, 2014 #1
    In central motion we have criteria for stability. For function of force [tex]f(r)[/tex]
    we have stability if
    [tex]f'(r)+\frac{3}{r}>0[/tex]

    This is stability in what sence? Do I have then periodic orbits or what? Is it in some connection with calculations of Lyapunov exponent? Thanks for the answer.
     
  2. jcsd
  3. Nov 25, 2014 #2

    ShayanJ

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    Gold Member

    Stability in the sense that if you give the satellite a little push, it doesn't escape the orbit, rather it oscillates in the radial direction, while orbiting!(Just imagine a sinusoid with a circle as the x axis!)
     
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