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...(adsbygoogle = window.adsbygoogle || []).push({});

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 [itex]\tau_1[/itex], [itex]A_x[/itex] and [itex]A_z[/itex] terms. These all contain the small parameter [itex]\epsilon[/itex] which hasn't been given a numerical value so how do I compute [itex]\tau_1[/itex], [itex]A_x[/itex] and [itex]A_z[/itex]?

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# Initial conditions for a halo orbit

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