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We consider the spatial Restricted Three-Body Problem modelling the Sun-Earth
system. We focus on the center manifold $W^c(L_1)$ of the collinear
equilibrium point $L_1$, with linear type center $\times$ center $\times$
saddle.
We present a systematic numerical exploration of heteroclinic connections
between different invariant tori in the center manifold $W^c(L_1)$.
The results show that, as energy increases, there exist longer transition
chains of tori.
For high enough energy, there exist transition chains linking almost all tori
in the energy manifold. |
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