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Universität Augsburg
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Universität Augsburg
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Professor Dr. Pedro A. S. Salomão
SUSTech, Shenzhen, China
spricht am
Montag, 22. Juni 2026
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17:30 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
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Hill's lunar problem is a classical model in celestial mechanics that describes the motion of the Moon under the combined gravitational influence of the Earth and the Sun. Introduced by George W. Hill in the nineteenth century, it arises as a limiting case of the restricted three-body problem and remains a fundamental model in celestial mechanics.
In this talk, I will discuss recent results on the global dynamics of Hill's lunar problem obtained using techniques from contact and symplectic topology. Below the critical energy, I will explain how strict convexity of the regularized energy hypersurfaces leads to disk-like global surfaces of section, confirming a conjecture of Birkhoff for Hill's problem. As a consequence, the dynamics can be described by an area-preserving return map on a disk. I will also discuss the dynamics slightly above the critical energy, where the topology of the regularized energy hypersurface changes. In this case, finite energy foliations provide a global organization of the flow by pseudo-holomorphic curves, leading to strong dynamical consequences, including the existence of infinitely many periodic orbits and infinitely many trajectories connecting the Lyapunov orbits. The talk is based on joint work with Lei Liu (Shandong University). |
| Hierzu ergeht herzliche Einladung. |
| Dr. Marcelo Ribeiro de Resende Alves |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).