Massimiliano Guzzo

Dipartimento di Matematica “Tullio Levi-Civita”, Universit√† degli Studi di Padova

Manifolds dynamics originating at L1, L2 in the Elliptic Restricted Three-Body problem

The stable/unstable manifolds originating at the Lagrangian points L1, L2 of the Elliptic restricted Three-Body problem, as well as the dynamics in their neighbourhoods, can be efficiently computed using a combination of the Floquet and Birkhoff normalizations. We discuss the similarities and the differencies with respect to the corresponding circular problem, and the relevance for some applications to space flight dynamics (this research has been done in collaboration with R.I Paez and E. Scantamburlo).

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Manifolds dynamics originating at L1, L2 in the Elliptic Restricted Three-Body problem
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