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Orbit of figure eight 3 or more bodies

  1. Nov 21, 2013 #1
    If I wanted to set up some initial conditions for a 3 body figure eight orbit, what would I have to set the position and velocity vectors?

    Say I have three vector inputs:
    initial position <x,y>
    initial velocity <x,y>
    mass of bodies <m1,m2,m3>

    The solutions for position use
    f=mi*x''
    f=SUM(mi*mj*r/|r|^2)

    and equating the two to get a differential equation.

    Hope this make sense.

    See this for a reference of what I am trying to do:
    http://www.ams.org/samplings/feature-column/fcarc-orbits3
     
  2. jcsd
  3. Nov 23, 2013 #2

    tony873004

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