renegade05
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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
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