Initial conditions for a halo orbit

AI Thread Summary
The discussion focuses on finding initial conditions for halo orbits using a third-order approximation solution. A referenced paper provides a detailed calculation method, specifically highlighting the Lindstedt-Poincare section starting on page 15. The main query involves determining the numerical values for the parameters τ_1, A_x, and A_z, which include the small parameter ε. The original poster indicates that this question has been resolved. The thread emphasizes the importance of understanding these parameters in the context of halo orbit calculations.
Deadstar
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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?
 
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