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Universität Augsburg
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Universität Augsburg
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Dr. Cengiz Aydin
Universität Heidelberg
spricht am
Montag, 19. Mai 2025
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16 Uhr s.t.
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| In this talk I discuss the application of symplectic invariants to analyze the network structure of symmetric periodic orbit families in the framework of the spatial circular Hill three-body problem. The extensive collection of families within this problem constitutes a complex network, fundamentally comprising the so-called basic families of periodic solutions, including the orbits of the satellite g, f, the libration (Lyapunov) a, c, halo and collision B0 families. The symplectic tools include computation of Conley-Zehnder index, Krein signature, and local Floer homology (graded by Conley-Zehnder indices) and its Euler characteristics. Since the latter is a bifurcation invariant, the computation of Conley-Zehnder indices facilitates the construction of well-organized bifurcation graphs depicting the interconnectedness among families of periodic solutions. In addition, I demonstrate how to express lunar months in terms of Conley-Zehnder indices, Krein signatures and Floquet multipliers associated to Hill's lunar orbit. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Urs Frauenfelder |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).