# Initial conditions for a halo orbit

1. Jun 27, 2011

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 $A_z$?

2. Jun 28, 2011