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Deadstar
Jun27-11, 02:08 PM
Hey folks I'm looking into halo orbits and I have a question about how to find the initial conditions from the third order approximation solution...

A good run through of the third order solution calculation is found in this paper.
http://www.scribd.com/doc/36160757/ThurmanWorfolkGeometryHaloOrbits
The Lindstedt-Poincare part begins on page 15.

My questions are...

The final approximation includes the \tau_1, A_x and A_z terms. These all contain the small parameter \epsilon which hasn't been given a numerical value so how do I compute \tau_1, A_x and A_z?

Deadstar
Jun28-11, 09:54 AM
This is now solved.