Jun 16, 1998

Dr. Marsden,

The following are the eigenvalues of the linearization for the system with r =  .55,  m = 2 (according to my computations).

(double-click the animation)

Notice that the splitting occurs around α = -1.82, with corresponding λ=0.0802 (using formula \(TraditionalForm
      \`λ = 
        \(L\^2 - r\^2\)\/\(L\^2 - α\^2\) /. 
          L -> 
            \((1 + α\/m)\) \((α\/\(1 + α\))\)\)).  If so, then this doesn't correspond to μ = 0.

I'm trying to think in a reasonable test which I could apply to my code to see if it is working correctly.

Regards,
- Antonio.