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 [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]?
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]?