Wednesday, June 25, 2014

The 3-body orbit problem

Arenstorf orbits (ref: Hairer, Nørsett & Wanner, Solving ODEs, Vol I) refer to the special class of 3-body orbit problems that describe the astronomical motion of two bodies (with the third body restricted). The equations of motion for the restricted 3-body problem and the corresponding initial conditions are:
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The Rosenbrock Triple was employed to solve the above equations. A plot of y2 vs y1 is shown below:

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